diff --git "a/TAL-SCQ5K-EN/test.jsonl" "b/TAL-SCQ5K-EN/test.jsonl" new file mode 100644--- /dev/null +++ "b/TAL-SCQ5K-EN/test.jsonl" @@ -0,0 +1,2000 @@ +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3", "queId": "04c0b0b72d444057afcf885efb9473d7", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "Compute the average angular acceleration and the angular displacement during the 2 seconds a rotating object speeds up from 0.5 rad/s to 0.7 rad/s. ", "answer_option_list": [[{"aoVal": "A", "content": "a = 0.1 rad/s\\textsuperscript{2}~$\\Delta\\theta$~= 0.3 radians "}], [{"aoVal": "B", "content": "a = 0.2 rad/s\\textsuperscript{2~}$\\Delta\\theta$~= 0.5 radians "}], [{"aoVal": "C", "content": "a = 0.1 rad/s\\textsuperscript{2~}$\\Delta\\theta$~= 1.2 radians "}], [{"aoVal": "D", "content": "a = 0.2 rad/s\\textsuperscript{2~}$\\Delta\\theta$~= 1.2 radians "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "12", "queId": "052ac178f4164a6cbd28c4ad644d6a34", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A 35 kg child ziplines from rest on a platform 12 m high to the ground with negligible friction. In the last 8 m of the zipline, which is approximately horizontal, a braking mechanism applies a constant force opposing the motion to slow the child down so that she\\textquotesingle s traveling at 2.5 m/s when she finally lands on the safety padding at the end. The padding compresses for1.5 s when the child lands on it and stops. $\\textasciitilde$ What is the magnitude of the force applied by the braking mechanism? ", "answer_option_list": [[{"aoVal": "A", "content": "$$350N$$ "}], [{"aoVal": "B", "content": "$$511N$$ "}], [{"aoVal": "C", "content": "$$525N$$ "}], [{"aoVal": "D", "content": "$$4090N$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "14", "queId": "014525d9deb6476abff3817cfdd10423", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The $$7$$-digit number $$\\overline{123P688}$$ is divisible by $$8$$. How many possible values are there for $$P$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["$$N.A$$ "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "18", "queId": "0553053821bd4614aad7145eab4a8f0a", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "What is the value of the digit $7$ in the number $32.679$? ", "answer_option_list": [[{"aoVal": "A", "content": "seven hundred "}], [{"aoVal": "B", "content": "\\emph{seventy} "}], [{"aoVal": "C", "content": "seven tenths "}], [{"aoVal": "D", "content": "seven hundredths "}], [{"aoVal": "E", "content": "seven thousandths "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "23", "queId": "01e727da0e9149aa9b1c1fd33b6081ff", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "George buys boxes of mangoes for $$$16$$ each and sells them for $$$23$$ per box. How many boxes of mangoes would he have to sell to make $$$56$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "25", "queId": "175b2bd0512341299fd4ce235ca034d0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find a whole number between $$0$$ and $$100$$ that has the following properties. When the number is divided by $$5$$ the remainder is $$4$$. When the number is divided by $$6$$ the remainder is $$0$$. When the number is divided by $$7$$ the remainder is $$0$$. What is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$42$$ "}], [{"aoVal": "B", "content": "$$84$$ "}], [{"aoVal": "C", "content": "$$46$$ "}], [{"aoVal": "D", "content": "$$90$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder ->Questions Involving Remainders"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "27", "queId": "02306e5d501f45219770337e7b08b7be", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "l am a four$$-$$digit number. The digit in the ones place is $$9$$. The digit in the thousands place has a value of $$1000$$. The digit in the tens place is twice the digit in the hundreds place. What number am I? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1009$$ "}], [{"aoVal": "B", "content": "$$1209$$ "}], [{"aoVal": "C", "content": "$$1249$$ "}], [{"aoVal": "D", "content": "$$1429$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "28", "queId": "023400fd12d9494d8b0c923a16a0e082", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Without calculating, determine if the following sums are odd or even. $$25\\times 3$$ is an~\\uline{~~~~~~~~~~}~number，$$45\\times 2$$ is an~\\uline{~~~~~~~~~~}~number，$$33\\times 5\\times 7\\times 9\\times 8\\times 11\\times 13$$ is an~\\uline{~~~~~~~~~~}~number． ~\\hspace{0pt}\\hspace{0pt}\\hspace{0pt}\\hspace{0pt}\\hspace{0pt}\\hspace{0pt} ", "answer_option_list": [[{"aoVal": "A", "content": "odd, odd, even "}], [{"aoVal": "B", "content": "odd, even, odd "}], [{"aoVal": "C", "content": "odd, even, even "}], [{"aoVal": "D", "content": "even, odd, even "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "30", "queId": "09d19724b73a46abbb7517770006ba0e", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$$1$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "31", "queId": "025a6265a3c24125aeb67dfa0dcf6f44", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$LCM[5,15]=$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$75$$ "}], [{"aoVal": "B", "content": "$$45$$ "}], [{"aoVal": "C", "content": "$$30$$ "}], [{"aoVal": "D", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "33", "queId": "0e5034be226f4de592368007e6d2ac6e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Putting these lines~$\\left\\textbar{} \\right\\textbar$ round a number or calculation makes sure the answer is positive; for example both $\\left\\textbar{} 8\\right\\textbar$~and $\\left\\textbar{} -8\\right\\textbar$~ would give the answer $8$.What is the answer to:$10-\\left\\textbar{} 4-20\\right\\textbar$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$26$$ "}], [{"aoVal": "C", "content": "$$-6$$ "}], [{"aoVal": "D", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "36", "queId": "1c11013b48ad464780a772ef57fb1692", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Adil says \"I have chosen a prime number less than $$20$$. It is one more than a multiple of $$4$$.\" How many possible numbers could Adil have chosen? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Knowing Prime and Composite Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "37", "queId": "02e76774175f4826a13cc03f23ba5a61", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "With how many zeroes does the product of the first $$2006$$ consecutive prime numbers end? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$26$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "39", "queId": "02f1e8ccc71a4ec4ba6f7e0eeb635259", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate quickly $100\\div5\\div5$~=． ", "answer_option_list": [[{"aoVal": "A", "content": "$100\\div（5\\times5）$ "}], [{"aoVal": "B", "content": "$100\\div（5-5）$ "}], [{"aoVal": "C", "content": "$100\\div（5\\div5）$ "}], [{"aoVal": "D", "content": "$100\\div（5+5）$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "40", "queId": "0603e8ea6981489c9e81f3a15a1e3497", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The $$4$$-digit number $$6H74$$ is divisible by $$11$$. What is $$H$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$7$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "44", "queId": "1c17eb201d04483a8401ab0c4a99b44b", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "If $$-$$ means $$\\times$$ $$+$$ means $$\\div$$ $$\\times$$ means $$+$$ $$\\div$$ means $$-$$ Then: $$20+(4\\div 2)-2\\times 5=$$？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$22$$ "}], [{"aoVal": "E", "content": "$$35$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "50", "queId": "255c7fd985084355b0e9c297c52d4019", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Adam wrote out all the numbers from $$1$$ to $$60$$ inclusive. How many times did he use the digit $$5$$? ($$2008$$ Math Kangaroo Problem, Level $$1-2$$, Question \\#$$15$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "52", "queId": "040991e4019e4970b9fb59d783a02a0a", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Is $$1234$$ divisible by $$11$$ ? ", "answer_option_list": [[{"aoVal": "A", "content": "Yes "}], [{"aoVal": "B", "content": "No "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "53", "queId": "068fcf3767884f4eaa43455bccad876c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "\\textbf{Sums of squares} Exactly one of these statements is correct. Which one? Circle the correct answer:． ", "answer_option_list": [[{"aoVal": "A", "content": "$$44^{2}+77^{2}=4477$$ "}], [{"aoVal": "B", "content": "$$55^{2}+66^{2}=5566$$ "}], [{"aoVal": "C", "content": "$$66^{2}+55^{2}=6655$$ "}], [{"aoVal": "D", "content": "$$88^{2}+33^{2}=8833$$ "}], [{"aoVal": "E", "content": "$$99^{2}+22^{2}=9922$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Questions involving Square Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "54", "queId": "041d0bc2dac248498caa905eea9b1c4a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the size of a rectangle if the original $$15 cm$$ length is reduced by $40\\textbackslash\\%$~and the $$12 cm$$ width is reduced by $50\\textbackslash\\%$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6cm\\times 3cm$$ "}], [{"aoVal": "B", "content": "$$7cm\\times 3cm$$ "}], [{"aoVal": "C", "content": "$$4cm\\times 3cm$$ "}], [{"aoVal": "D", "content": "$$9cm\\times 6cm$$ "}], [{"aoVal": "E", "content": "$$9cm\\times 7cm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "60", "queId": "0e96f21ae27e48af8b7157650bb93eb7", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many of the following statements are true? ($$A$$) If a number $$A$$ is a multiple of $$4$$, then any multiple of $$A$$ is a multiple of $$4$$. ($$B$$) If $$4$$ is a factor of $$A$$, then any multiple of $$4$$ is also a multiple of $$A$$ ($$C$$) If both number $$A$$ and number $$B$$ are multiple of $$4$$, Then $$A+B$$ is a multiple of $$4$$. ($$D$$) If a number $$B$$ is a multiple of $$20$$, then $$B$$ is a multiple of $$4$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "61", "queId": "048140a4c20f48f293f1c82967a9e5a6", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "A seven-digit number $$\\overline{579A379}$$ is divisible by $$11$$. Which number does $$A$$ represent? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "66", "queId": "2eb3f924864e4563b3e73efdbbff8f27", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I multiply a whole number by $$3$$. Which of the following could be my answer? ", "answer_option_list": [[{"aoVal": "A", "content": "$$325$$ "}], [{"aoVal": "B", "content": "$$326$$ "}], [{"aoVal": "C", "content": "$$327$$ "}], [{"aoVal": "D", "content": "$$328$$ "}], [{"aoVal": "E", "content": "$$329$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "67", "queId": "afd5b24949fe401fa6ba3a56380faeee", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "If $1a2a3a4a5a$ is divisible by $11$, what is the value of $a$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "68", "queId": "17a1d7ede5b144069ff648fe4e89f767", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are~\\uline{~~~~~~~~~~}~common multiples of $$3$$ and $$4$$ that are smaller than $$30$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "69", "queId": "0714d85f492949e49fa0a3acc45e2522", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Find the difference in the values of digit $$4$$ in $$4100$$ and $$8340$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3006$$ "}], [{"aoVal": "B", "content": "$$3060$$ "}], [{"aoVal": "C", "content": "$$3600$$ "}], [{"aoVal": "D", "content": "$$3960$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "71", "queId": "9d44080600ae403f9b82f3a8d1053d54", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following prime factorizations below is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$97=1\\times97$ "}], [{"aoVal": "B", "content": "$85=5\\times17$ "}], [{"aoVal": "C", "content": "$64=2\\times32$ "}], [{"aoVal": "D", "content": "$52=1\\times2\\times2\\times13$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "72", "queId": "0a95fd9a5ff64588968de989028dd3ea", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the total value of all the odd numbers between $$34$$ and $$42$$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$1500$$ "}], [{"aoVal": "B", "content": "$$100$$ "}], [{"aoVal": "C", "content": "$$6600$$ "}], [{"aoVal": "D", "content": "$$330$$ "}], [{"aoVal": "E", "content": "$$1320$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "76", "queId": "074937ab5c0c404f8ff79f24849695d9", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "How many perfect cubes lie between 2\\textsuperscript{8}~+1 and 2\\textsuperscript{18}+1, inclusive? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$57$$ "}], [{"aoVal": "E", "content": "$$58$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "81", "queId": "0ab1224b909248a49b4afd89820006ce", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In $$47186$$, the digit $$7$$ stands for． ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ ten thousands "}], [{"aoVal": "B", "content": "$$7$$ thousands "}], [{"aoVal": "C", "content": "$$7$$ hundreds "}], [{"aoVal": "D", "content": "$$7$$ tens "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$18171$$ "}], [{"aoVal": "B", "content": "$$44481$$ "}], [{"aoVal": "C", "content": "$$38501$$ "}], [{"aoVal": "D", "content": "$$57060$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "86", "queId": "1c508773673f4b4d9953742132bbad01", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A large cuboid box measures~$$9 cm \\times 15 cm \\times 12 cm$$. How many cubes with an~edge length of $$3 cm$$ can fit in this large box? ", "answer_option_list": [[{"aoVal": "A", "content": "$$76$$ "}], [{"aoVal": "B", "content": "$$56$$ "}], [{"aoVal": "C", "content": "$$60$$ "}], [{"aoVal": "D", "content": "$$192$$ "}], [{"aoVal": "E", "content": "$$58$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "91", "queId": "8f53bfd1adc04f818f04716247ec2762", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The five-digit number $24x8y$ is divisible by $$4$$, $$5$$, and $$9$$. The sum of the digits $$x$$ and $$y$$ is equal to ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "95", "queId": "0ae4d21f9b8d4814b94ef80fda94e9ea", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The diameter of an iron atom is $0.000000014$ inches, what is the diameter of an iron atom written in scientific notation? ", "answer_option_list": [[{"aoVal": "A", "content": "$1.4\\times 10^{8}$ inches "}], [{"aoVal": "B", "content": "$1.4\\times 10^{-8}$ inches "}], [{"aoVal": "C", "content": "$0.14\\times 10^{9}$ inches "}], [{"aoVal": "D", "content": "$0.14\\times 10^{-9}$ inches "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->The Relationship between Exponents and the Number of Factors"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "96", "queId": "2a28b43c279b4dbbaafa966d78dfec7d", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "Several different positive integers are written on the board. Exactly two of them are divisible by $$2$$ and exactly $$13$$ of them are divisible by $$13$$. Let $$M$$ be the greatest of these numbers. What is the smallest possible value of $$M$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$169$$ "}], [{"aoVal": "B", "content": "$$260$$ "}], [{"aoVal": "C", "content": "$$273$$ "}], [{"aoVal": "D", "content": "$$299$$ "}], [{"aoVal": "E", "content": "$$325$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Questions Involving Properties of Dividing without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "102", "queId": "081c2c8597a440488cdcb4f20b41c298", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Adam wrote out all the numbers from $$1$$ to $$60$$ inclusive. How many times did he use the digit $$5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "109", "queId": "cbbd6a8ac4be4cc1b37d373b2e261396", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the sum of all the prime numbers are between $$10$$ and $$20$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$55$$ "}], [{"aoVal": "B", "content": "$$58$$ "}], [{"aoVal": "C", "content": "$$60$$ "}], [{"aoVal": "D", "content": "$$64$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "111", "queId": "138aa013d88b4f8daefa90ff3b5afc66", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many digit 1 can you see below? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "112", "queId": "98a4275101c748dba81d78e1caa9b61d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these numbers is exactly divisible by $$3$$ and $$9$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$66$$ "}], [{"aoVal": "B", "content": "$$24$$ "}], [{"aoVal": "C", "content": "$$33$$ "}], [{"aoVal": "D", "content": "$$126$$ "}], [{"aoVal": "E", "content": "$$89$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"], "answer_analysis": ["N/A. Revise from (GL Assessment book$$1$$《Paper $$2$$》 $$6$$ years Question \\#$$23$$) "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "115", "queId": "089566321dfe477a971e8a213cd802a3", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Barry wrote 6 different numbers, one on each side of 3 cards, and laid the cards on a table, as shown. The sums of the two numbers on each of the three cards are equal. The three numbers on the hidden sides are prime numbers. What is the average of the hidden prime numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$14$$ "}], [{"aoVal": "C", "content": "$$15$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "116", "queId": "25b356ce73d84268b32658bdf73cea39", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There~are eighteen squares, when placed next to each other in two rows, that fit exactly into a rectangle. If the perimeter of a square is $$4 cm$$, what is the perimeter of the rectangle? ", "answer_option_list": [[{"aoVal": "A", "content": "$$24cm$$ "}], [{"aoVal": "B", "content": "$$22cm$$ "}], [{"aoVal": "C", "content": "$$16cm$$ "}], [{"aoVal": "D", "content": "$$18cm$$ "}], [{"aoVal": "E", "content": "$$64cm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "117", "queId": "cbbeda8cbac141b68ffd0f835e451181", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number? $$4673$$, $$4973$$,~\\uline{~~~~~~~~~~}~, $$5873$$, $$6473$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$5173$$ "}], [{"aoVal": "B", "content": "$$5273$$ "}], [{"aoVal": "C", "content": "$$5373$$ "}], [{"aoVal": "D", "content": "$$5473$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules", "Overseas In-curriculum->Knowledge Point->Algebra->Numbers and Figures->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "120", "queId": "0b8cea5619bd4b99a6386ab7a6af1921", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number is greater than $$15$$ but smaller than $$20$$. It is divisible by $$2$$ and $$3$$. What is this number?~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$23$$ "}], [{"aoVal": "D", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "123", "queId": "1c9983ba34764686a1bccc0f7db6fb9e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number when divided by $$5$$ gives a quotient of $$170$$ and a remainder of $$4$$.What is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$680$$ "}], [{"aoVal": "B", "content": "$$846$$ "}], [{"aoVal": "C", "content": "$$850$$ "}], [{"aoVal": "D", "content": "$$854$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder "], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "125", "queId": "98a8ca7c8ede4035bf9fa5812ea69c3d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the difference between the largest $$5$$-digit number and the smallest $$6$$-digit number?~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "128", "queId": "0bd168b511b54917b130fab88b2a1259", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which one of the following is an odd number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$352$$ "}], [{"aoVal": "B", "content": "$$134$$ "}], [{"aoVal": "C", "content": "$$96$$ "}], [{"aoVal": "D", "content": "$$647$$ "}], [{"aoVal": "E", "content": "$$770$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "130", "queId": "8abc3eaea3e84e469719ed7b456d3e69", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There~are 18 squares, when placed next to each other in 2 rows, that fit exactly into a rectangle. If the perimeter of a square is $$4 cm$$, what is the perimeter of the rectangle? ", "answer_option_list": [[{"aoVal": "A", "content": "$$24cm$$ "}], [{"aoVal": "B", "content": "$$22cm$$ "}], [{"aoVal": "C", "content": "$$16cm$$ "}], [{"aoVal": "D", "content": "$$18cm$$ "}], [{"aoVal": "E", "content": "$$64cm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "132", "queId": "092d28effcc9474288dcc0a4c74601fb", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Adam wrote out all the numbers from $$1$$ to $$60$$ inclusive. How many times did he use the digit $$5$$? ($$2008$$ Math Kangaroo Problem, Level $$1-2$$, Question \\#$$15$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "137", "queId": "18397810496a490f92c3a4778934122e", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "One day Randy was bored and he wrotre all the whole numbers from 49 to 97 on his paper. How many times did he write the digit \\textquotesingle\\textquotesingle8\\textquotesingle\\textquotesingle{} on his paper? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$11$$ "}], [{"aoVal": "D", "content": "$$13$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "144", "queId": "5d366cd29122477fb051dac689a8b860", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Grandmother baked cookies for her grandchildren, some of whom were going to visit her that day. She wanted each of her grandchildren to have the same number of cookies, but she forgot if three, five, or six grandchildren were coming. So, she baked enough cookies so that there would be an equal number for every grandchild regardless of how many visited. Which of these could be the number of cookies Grandmother baked? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$18$$ "}], [{"aoVal": "D", "content": "$$24$$ "}], [{"aoVal": "E", "content": "$$30$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "146", "queId": "0fd12249b1b74ac7a62bd2aef99c94ff", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is a set of prime numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$, $$5$$, $$37$$, $$41$$ "}], [{"aoVal": "B", "content": "$$2$$, $$77$$, $$86$$, $$13$$ "}], [{"aoVal": "C", "content": "$$3$$, $$11$$, $$29$$, $$41$$ "}], [{"aoVal": "D", "content": "$$9$$, $$13$$, $$56$$, $$79$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "147", "queId": "8f6736e9c21743efa96bcf28393218d3", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate quickly $100\\div5\\div5$~=． ", "answer_option_list": [[{"aoVal": "A", "content": "$100\\div（5\\times5）$ "}], [{"aoVal": "B", "content": "$100\\div（5-5）$ "}], [{"aoVal": "C", "content": "$100\\div（5\\div5）$ "}], [{"aoVal": "D", "content": "$100\\div（5+5）$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "149", "queId": "1cdcb468272e438385cad3c39971bb33", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "If n is an even positive integer, the double factorial notation n!! represents the product of all the even integers from 2 to n. For example, $8!!=2\\cdot4\\cdot6\\cdot8$. What is the units digit of the following sum? $2!!+4!!+6!!+\\cdot\\cdot\\cdot+2018!!+2020!!+2022!!$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "150", "queId": "41845126b9a94353901b65b3cfad786a", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The smallest positive integer greater than $1$ that leaves a remainder of $1$ when divided by $4$, $5$, and $6$ lies between which of the following pairs of numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ and $$19$$ "}], [{"aoVal": "B", "content": "$$20$$ and $$39$$ "}], [{"aoVal": "C", "content": "$$40$$ and $$59$$ "}], [{"aoVal": "D", "content": "$$60$$ and $$79$$ "}], [{"aoVal": "E", "content": "$$80$$ and $$124$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "151", "queId": "25f33846c9e54bc28f386cdbe9164796", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "The muzzle velocity of a 0.003-kg paintball pellet is 90 m/s. If it takes 0.002 s for the pellet to be shot from the paintball gun, what is the average force of the recoilon the paintball gun? ", "answer_option_list": [[{"aoVal": "A", "content": "$$24N$$ "}], [{"aoVal": "B", "content": "$$60N$$ "}], [{"aoVal": "C", "content": "$$68N$$ "}], [{"aoVal": "D", "content": "$$135N$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "153", "queId": "0c60fadce790455aade9032eedb360f1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "a "}], [{"aoVal": "B", "content": "B "}], [{"aoVal": "C", "content": "c "}], [{"aoVal": "D", "content": "D "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "155", "queId": "0c65f4ddd6954db58b11beea9899c1d7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In $$39$$, the value of the digit in the tens place is． ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ ones "}], [{"aoVal": "B", "content": "$$30$$ ones "}], [{"aoVal": "C", "content": "$$30$$ tens "}], [{"aoVal": "D", "content": "$$30$$ hundreds "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "156", "queId": "fa37ad73794446bfba30b9cf17f2ec82", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following is not a multiple of $6$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$(49+35)\\times 6$$ "}], [{"aoVal": "B", "content": "$$(49-35)\\times 42$$ "}], [{"aoVal": "C", "content": "$$24\\times 12-1$$ "}], [{"aoVal": "D", "content": "$$35\\times 6+48$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "159", "queId": "2175335b2fdc46bfadd9d0c5ca7a1844", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The value of the side of a square is a prime number and which of the following statements is true? ", "answer_option_list": [[{"aoVal": "A", "content": "The value of its area is a prime number "}], [{"aoVal": "B", "content": "The value of its area is a composite number "}], [{"aoVal": "C", "content": "It can not be determined whether the value of its area is a prime number or not. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "161", "queId": "188ea03f23eb402eb77c0bb006ad1ac9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers is not divisible by $$2$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$578397490$$ "}], [{"aoVal": "B", "content": "$$57893084$$ "}], [{"aoVal": "C", "content": "$$5791592$$ "}], [{"aoVal": "D", "content": "$$24618221$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "164", "queId": "46300ff756a547148b52cd5588944e4d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Prime factorization: $$598=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$2\\times13\\times23$$ "}], [{"aoVal": "B", "content": "$$5\\times15\\times25$$ "}], [{"aoVal": "C", "content": "$$2\\times23\\times10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "169", "queId": "2f3ea36f29ff48e89c5b611225ce999d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many zeroes does the number $$12^{2}\\times15^{3}$$ end with? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$1$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"], "answer_analysis": ["N/A.　 "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "172", "queId": "f597e0c83bbd4bc09a9eb81551a0e0b7", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Elmo is packing $$107$$ cookies. He wants to put $$5$$ cookies exactly in each plastic bag. How many cookies will not be packed into plastic bags? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "174", "queId": "33dad28381b8436fb56316511b6e8f90", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Determine if the result of~$$1+2+3+4+5+6\\cdots\\cdots+99+100$$~is an odd or even~number. ", "answer_option_list": [[{"aoVal": "A", "content": "Odd "}], [{"aoVal": "B", "content": "Even "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "175", "queId": "108ec9828f20438dae88038d93d6d5ef", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$17$$ children participating in a competition. The competition requires them to divide into $$4$$ teams on the average. How many more children are needed for this competition? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Guessing Dividends"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "179", "queId": "f0efb663f91841c69fbaf1dde92e22ff", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "George has $$120$$ stamps; Gina has $$220$$ stamps and John has $$320$$ stamps. If all the stamps were mixed together and redistributed to these three children, how many stamps would each person get? ", "answer_option_list": [[{"aoVal": "A", "content": "$$140$$ "}], [{"aoVal": "B", "content": "$$180$$ "}], [{"aoVal": "C", "content": "$$240$$ "}], [{"aoVal": "D", "content": "$$220$$ "}], [{"aoVal": "E", "content": "$$320$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "182", "queId": "5d59f3c38b104a4f90943ba31d80f130", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Malcolm wants to visit Isabella after school today and knows the street where she lives but doesn\\textquotesingle t know her house number. She tells him, \"My house number has two digits, and exactly three of the following four statements about it are true.\" (1) It is prime. (2) It is even. (3) It is divisible by $7$. (4) One of its digits is $9$. This information allows Malcolm to determine Isabella\\textquotesingle s house number. What is its units digit? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "186", "queId": "58bdd734cdf646458ff058afcb2bc324", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In a cricket match, George scores double~the runs in each round compared to the one before. If George scored $$1$$ run in the first round, in which round did he score $$32$$ runs? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4^{th}$$ "}], [{"aoVal": "B", "content": "$$7^{th}$$ "}], [{"aoVal": "C", "content": "$$6^{th}$$ "}], [{"aoVal": "D", "content": "$$8^{th}$$ "}], [{"aoVal": "E", "content": "$$5^{th}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "187", "queId": "aff8d9f611694834a966c85bdc83ff69", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following statements is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ is a factor of $$38$$. "}], [{"aoVal": "B", "content": "$$6$$ is a factor of $$72$$. "}], [{"aoVal": "C", "content": "$$8$$ is a common factor of $$72$$ and $$84$$. "}], [{"aoVal": "D", "content": "$$9$$ is a common factor of $$38$$ and $$72$$. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "188", "queId": "9d6da0f52c074b2bbaa8f43370d0028e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Adrian has two ribbons of length $$12 \\rm{cm}$$ and $$30 \\rm{cm}$$. He cuts each ribbon into shorter pieces of equal length. Every shorter piece from both ribbons is of the same length. What is the greatest length of each shorter piece? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["$$N.A$$ "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "189", "queId": "10d6b29416e140c3a1a01374a6ba84c7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Without calculating, determine if the sum of $$1+2+3+\\cdots +1993$$ is an odd or even number. ", "answer_option_list": [[{"aoVal": "A", "content": "Odd "}], [{"aoVal": "B", "content": "Even "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "194", "queId": "10f4708b613141a7bc8042a01eae5d4d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the remainder when dividing the sum: $$2001+2002+2003+2004+2005$$ by $$2004$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2001$$ "}], [{"aoVal": "C", "content": "$$2002$$ "}], [{"aoVal": "D", "content": "$$2003$$ "}], [{"aoVal": "E", "content": "$$1999$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder ->The additive property of the remainder"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "196", "queId": "1912b7d2ab9a43f2bf58b29159289739", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A ball is thrown from the top of a building, and each time the ball bounces to half of its previous height. If the height of the building is $$1024m$$, what is the height it bounces to on the fifth bounce? ", "answer_option_list": [[{"aoVal": "A", "content": "$$32m$$ "}], [{"aoVal": "B", "content": "$$16m$$ "}], [{"aoVal": "C", "content": "$$128m$$ "}], [{"aoVal": "D", "content": "$$256m$$ "}], [{"aoVal": "E", "content": "$$4m$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "197", "queId": "41c59147157f49569ca4da1340f2626b", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "How many factors of 2020 have more than 3 factors? (As an example, 12 has 6 factors, namely 1,2,3,4,6 and 12) ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "198", "queId": "de606de569d6476296d4af5c18c6218e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "After adding a two-digit number $$N$$ and a two-digit number that has the same digits as $$N$$ but written in reverse order, we got a square of a natural number as result. How many such numbers $$N$$ are there? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$2$$ "}], [{"aoVal": "E", "content": "other answer "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "200", "queId": "62119bfc2429401cb441998dd021b455", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Divide $$74$$ by $$6$$. The remainder is ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders->Relationship between Dividend, Divisor, Quotient and Remainder in Division"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "201", "queId": "793b68842c274cd5ae9457bbeb6b53f9", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The smallest positive integer greater than $1$ that leaves a remainder of $1$ when divided by $4$, $5$, and $6$ lies between which of the following pairs of numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$2$ and $19$ "}], [{"aoVal": "B", "content": "$20$ and $39$ "}], [{"aoVal": "C", "content": "$40$ and $59$ "}], [{"aoVal": "D", "content": "$60$ and $79$ "}], [{"aoVal": "E", "content": "$80$ and $124$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "202", "queId": "38a0087c55b54c618e8dd4874aa5ad0c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Pressed 12 times, on or off ", "answer_option_list": [[{"aoVal": "A", "content": "on "}], [{"aoVal": "B", "content": "off "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "203", "queId": "54360c8aa7164e669a6f6d97da65fd22", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which \\textbf{ONE~}of the following numbers is \\textbf{NOT} divisible by $$25$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7950$$ "}], [{"aoVal": "B", "content": "$$6925$$ "}], [{"aoVal": "C", "content": "$$7500$$ "}], [{"aoVal": "D", "content": "$$25255$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "204", "queId": "cbda068d467747bdae1e47cbda1bcddc", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15? 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"], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "220", "queId": "269be27a2a9a47168148caa1935042d9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Jack and Linda participated in the school activity, got a total of $90$ dollars of charity money. Linda got $10$ dollars more than Jack, how many dollars of charity money did Jack get? 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The brakes apply a normal force of 85 N on the brake pad at the edge of the wheel.The coefficient of kinetic friction between the brake pad and the wheel is 0.32. How long does it take for the bicycle to stop? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.19s$$ "}], [{"aoVal": "B", "content": "$$0.29s$$ "}], [{"aoVal": "C", "content": "$$0.38s$$ "}], [{"aoVal": "D", "content": "$$2.6s$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "240", "queId": "38dee33f3a0640b486402e0f05c7895b", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Let $N$ be the greatest five-digit number whose digits have a product of $120$. What is the sum of the digits of $N$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$28$$ "}], [{"aoVal": "D", "content": "$$36$$ "}], [{"aoVal": "E", "content": "$$42$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "243", "queId": "de6e67e08e1b49e3a428f7538635135e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in this sequence? ~ $$1$$，$$3$$，$$5$$，$$7$$，？，$$11$$，$$13$$，$$15$$，$$17$$，$$19$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$15$$ "}], [{"aoVal": "D", "content": "$$11$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "245", "queId": "1230fb42a1034c36bbe7a2c65d3772b1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number is opposite to $$-\\frac{1}{3}$$ and the aboslute value of that number is~\\uline{~~~~~~~~~~}~. 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This information allows Malcolm to determine Isabella\\textquotesingle s house number. What is its units digit? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "269", "queId": "8fad699d70ec4f75bb385171bdc10fb2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Seven million, three hundred and eight thousand and twenty-eight in numerals is． ", "answer_option_list": [[{"aoVal": "A", "content": "$$7008328$$ "}], [{"aoVal": "B", "content": "$$7030828$$ "}], [{"aoVal": "C", "content": "$$738028$$ "}], [{"aoVal": "D", "content": "$$7380028$$ "}], [{"aoVal": "E", "content": "$$7308028$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. 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It is one more than a multiple of $$4$$.\" How many possible numbers could Adil have chosen? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Knowing Prime and Composite Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "286", "queId": "3db5f8d8c83649119eb075e33fd536ed", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Divide $$74$$ by $$6$$. The remainder is ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders->Relationship between Dividend, Divisor, Quotient and Remainder in Division"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "289", "queId": "be120d39410c412ebe44a3210578a7b0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Two numbers have infinite amount of~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "multiples "}], [{"aoVal": "B", "content": "least common multiples "}], [{"aoVal": "C", "content": "factors "}], [{"aoVal": "D", "content": "greatest common factors "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "290", "queId": "9da4a7f430f14ae19dc0e693c5593ff3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many times does the number $$2$$ appear when counting from $$1$$ to $$43$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$17$$ "}], [{"aoVal": "D", "content": "$$18$$ "}], [{"aoVal": "E", "content": "$$19$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "295", "queId": "c75920b8975b4ca2b897db5306b3d258", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Change a digit of the number $12315$ to make the new five-digit number be divisible by $25$. What is the new five-digit number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12325$$ "}], [{"aoVal": "B", "content": "$$12335$$ "}], [{"aoVal": "C", "content": "$$12345$$ "}], [{"aoVal": "D", "content": "$$12355$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "296", "queId": "50084446e6264f949a043ad2555793ff", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which answer is \\textbf{NOT} a square number? 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A group of children came to the stand and each child bought two scoops of ice cream with two different flavors. If none of the children chose the same combination of flavors and every such combination of favors was chosen, how many children were there? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$20$$ "}], [{"aoVal": "D", "content": "$$25$$ "}], [{"aoVal": "E", "content": "$$30$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems"], "answer_analysis": ["N/A. 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"}], [{"aoVal": "B", "content": "Last two digits are divisible by $$9$$. "}], [{"aoVal": "C", "content": "The sum of digits is divisible by $$3$$. "}], [{"aoVal": "D", "content": "The sum of digits is divisible by $$9$$. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "310", "queId": "1700a864d1254301985e56c69f088b57", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "George buys boxes of mangoes for $$$18$$ each and sells them for $$$25$$ per box. How many boxes of mangoes would he have to sell to make $$$63$$? 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Which group has the most people? ", "answer_option_list": [[{"aoVal": "A", "content": "team $3$ "}], [{"aoVal": "B", "content": "team $1$ "}], [{"aoVal": "C", "content": "team $2$ "}], [{"aoVal": "D", "content": "team $4$ "}], [{"aoVal": "E", "content": "None of them above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "322", "queId": "705972f617a94a4d8d74640bdc2dbec1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A number gives a remainder of $$1$$ when divided by $$5$$, a remainder of $$2$$ when divided by $$6$$, and a remainder of $$9$$ when divided by $$11$$. What is the smallest number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$26$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$56$$ "}], [{"aoVal": "D", "content": "$$86$$ "}], [{"aoVal": "E", "content": "$$116$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "325", "queId": "1f1b35780cc6407da7b12ce9935a2d1f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "109 divided by a 2-digit number has a remainder of 4. How many such 2-digit numbe are there? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "328", "queId": "be22566c545d4ea7981262e3c2cfd07e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is not a multiple of $$8$$? 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Because each adult in the clinical trial was to serve as his or her own control, the 85 variables were measured for each adult, both before taking the vitamin and after taking the vitamin for three months. The investigators then performed 85 matched-pair t-tests, one for each variable. They found statistically significant results at the 0.05evel in 2 of the variables, both in the direction of improved general health. Which of the following should the investigators conclude? ", "answer_option_list": [[{"aoVal": "A", "content": "There is evidence that the vitamin improves the health of adults because 2 of the 85 tests were statistically significant. "}], [{"aoVal": "B", "content": "There is evidence that the vitamin improves the health of adults because in clinical trials investigators typically underestimate the proportion of the population that is helped by a vitamin. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ and $$3$$ "}], [{"aoVal": "B", "content": "$$3$$ and $$11$$ "}], [{"aoVal": "C", "content": "$$9$$ and $$4$$ "}], [{"aoVal": "D", "content": "$$6$$ and $$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems"], "answer_analysis": ["N/A. 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Which of the following numbers can express my father\\textquotesingle s age when I was born? ", "answer_option_list": [[{"aoVal": "A", "content": "$$24$$ "}], [{"aoVal": "B", "content": "$$25$$ "}], [{"aoVal": "C", "content": "$$26$$ "}], [{"aoVal": "D", "content": "$$27$$ "}], [{"aoVal": "E", "content": "$$28$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "447", "queId": "901ce22e905c43be9afbb525be7fd60f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "An object is thrown upwards with an initial velocity of 20 m/s. What is the object\\textquotesingle s velocity after 2 seconds? Assume no air resistance. ", "answer_option_list": [[{"aoVal": "A", "content": "0 m/s "}], [{"aoVal": "B", "content": "10 m/s upwards "}], [{"aoVal": "C", "content": "20 m/s upwards "}], [{"aoVal": "D", "content": "30 m/s upwards "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "450", "queId": "59d71d5241a448ed9975c5c771be6c2d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The 5-digit number~\\uline{2018U}~is divisible by 9. What is the remainder when this number is divided by 8? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "451", "queId": "755834b4add74f4c8cda804c075e903c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the value of $81$ tenths, $\\frac{28}{25}$ and $0.139$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2.069$$ "}], [{"aoVal": "B", "content": "$$8.359$$ "}], [{"aoVal": "C", "content": "$$9.359$$ "}], [{"aoVal": "D", "content": "$$1.229$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "454", "queId": "9021d8b811ab4fb781bfbe621b64fbe2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "a "}], [{"aoVal": "B", "content": "b "}], [{"aoVal": "C", "content": "c "}], [{"aoVal": "D", "content": "d "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "455", "queId": "94c22a2941f142f8839263231bdbc8d6", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find all the prime factors of $$598$$ ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$2\\times13\\times23$$ "}], [{"aoVal": "B", "content": "$$5\\times15\\times25$$ "}], [{"aoVal": "C", "content": "$$2\\times23\\times10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "457", "queId": "24d0639d3d4544c6b30a9c6b3b37df84", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers is divisible by $$11$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$173823$$ "}], [{"aoVal": "B", "content": "$$42789$$ "}], [{"aoVal": "C", "content": "$$81235$$ "}], [{"aoVal": "D", "content": "$$542131$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "459", "queId": "90259f1d154a43189aefe4ddec55c171", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If the length of each side of a rectangle increases by $20\\textbackslash\\%$, by what percentage does the area of the rectangle increase? ", "answer_option_list": [[{"aoVal": "A", "content": "$$44\\textbackslash\\%$$ "}], [{"aoVal": "B", "content": "$$21\\textbackslash\\%$$ "}], [{"aoVal": "C", "content": "$$10\\textbackslash\\%$$ "}], [{"aoVal": "D", "content": "$$10.5\\textbackslash\\%$$ "}], [{"aoVal": "E", "content": "$$11\\textbackslash\\%$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "460", "queId": "2d3cbd10dccb4d2db6d831df43a26c09", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "Researchers investigated whether a new process for producing yarn could reduce the mean amount of volatile organic compounds (VOCs) emitted by carpet. From random samples of carpets, the researchers found the mean reduction of VOCs emitted by carpets made with yarn produced by the new process compared with thatof carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditionsfor inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following statements is the best interpretation of the p-value? ", "answer_option_list": [[{"aoVal": "A", "content": "The probability that the null hypothesis is true is 0.095 "}], [{"aoVal": "B", "content": "The probability that the alternative hypothesis is true is 0.095 "}], [{"aoVal": "C", "content": "The probability of observing a mean reduction of 13 ppm is 0.095 "}], [{"aoVal": "D", "content": "If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095 "}], [{"aoVal": "E", "content": "If the null hypothesis is true, the probability of observing a mean reduction of at most 13 ppm is 0.095 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "462", "queId": "3193cbe9d54b493ba0a8897774697ec3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "When 4 identical rectangles are placed next to each other, they form a square. If the area of a rectangle is $$16$$ square centimetres, what is the length of the rectangle? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6cm$$ "}], [{"aoVal": "B", "content": "$$8cm$$ "}], [{"aoVal": "C", "content": "$$4cm$$ "}], [{"aoVal": "D", "content": "$$12cm$$ "}], [{"aoVal": "E", "content": "$$16cm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "467", "queId": "c2fc51c33def4f67a9bfe4a967bbbc77", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "The positive integer N is such that the product of its digits is $45$. Which of the following could not be the product of the digits of $N+1$？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$90$$ "}], [{"aoVal": "B", "content": "$$60$$ "}], [{"aoVal": "C", "content": "$$54$$ "}], [{"aoVal": "D", "content": "$$35$$ "}], [{"aoVal": "E", "content": "$$0$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "468", "queId": "50dc1ab437d34d2baeb724270d3add2d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these numbers are prime numbers? $2\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 6\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 7\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 9\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 12\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 15$ ", "answer_option_list": [[{"aoVal": "A", "content": "$2$ and $9$ "}], [{"aoVal": "B", "content": "$6$ and $7$ "}], [{"aoVal": "C", "content": "$9$ and $15$ "}], [{"aoVal": "D", "content": "$2$ and $7$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Judging Prime and Composite Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "472", "queId": "50df1cac092f4b1a8a165d069cf157e1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "On the number line, any number on the left side of the origin is ． ", "answer_option_list": [[{"aoVal": "A", "content": "Positive number "}], [{"aoVal": "B", "content": "Negative Number "}], [{"aoVal": "C", "content": "Non-postive number "}], [{"aoVal": "D", "content": "Opposite Number "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "473", "queId": "756ca69210184006801dd57d1d98d956", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "a "}], [{"aoVal": "B", "content": "b "}], [{"aoVal": "C", "content": "c "}], [{"aoVal": "D", "content": "d "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "474", "queId": "360e0d7c2bfa453a9b9db2de6e840296", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "l am a four$$-$$digit number. The digit in the ones place is $$9$$. The digit in the thousands place has a value of $$1000$$ The digit in the tens place is twice the digit in the hundreds place. What number am I? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1009$$ "}], [{"aoVal": "B", "content": "$$1209$$ "}], [{"aoVal": "C", "content": "$$1249$$ "}], [{"aoVal": "D", "content": "$$1429$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "475", "queId": "756f271cf3ec4f5ca986304a09af10ea", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "When a number is divided by $$8$$, the quotient and the remainder are the same. which of the following is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$62$$ "}], [{"aoVal": "B", "content": "$$63$$ "}], [{"aoVal": "C", "content": "$$64$$ "}], [{"aoVal": "D", "content": "$$65$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "476", "queId": "d57a0b6b960a40aabf056422bd04d60d", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "The main difference between a $\\chi^{2}$ test for independence and a~$\\chi^{2}$ test for homogeneity of proportions is which of the following? ", "answer_option_list": [[{"aoVal": "A", "content": "They are based on a different number of degrees of freedom. "}], [{"aoVal": "B", "content": "One of the tests is for a two-sided alternative and the other is for a one-sided alternative. "}], [{"aoVal": "C", "content": "In one case, two variables are compared within a single population. In the other case, two populations are compared in terms of a single variable. "}], [{"aoVal": "D", "content": "For a given value of $\\chi^{2}$, they have different P-values. "}], [{"aoVal": "E", "content": "There are no differences between the tests. They measure exactly the same thing. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "478", "queId": "9032acd2f13d47aa94564e3eba282bd0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many of the numbers $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$, $$8$$, and $$9$$ can be written as a sum of two of the other numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "479", "queId": "47dd7495217549dea403bf2a1bf0dd1c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "John, George and Oscar ran around the circular track in the same direction at the same time. John took 16 seconds, George took $$20$$ seconds, and Oscar took $$30$$ seconds. If they continue to chase each other, when will they meet again at the starting point? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ hours "}], [{"aoVal": "B", "content": "$$1$$ day "}], [{"aoVal": "C", "content": "$$4$$ minutes "}], [{"aoVal": "D", "content": "$$124$$ minutes "}], [{"aoVal": "E", "content": "$$9$$ hours "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "481", "queId": "2d711a9387d44499af1d6ca63f7a5bd0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Emma, Gina and Lisa ran a $$400$$-metre circular track in the same direction at the same time. Emma took $$54$$ seconds, Gina took $$45$$ seconds, and Lisa took $$48$$ seconds. If they continue to chase each other, when will they meet again at the starting point? ", "answer_option_list": [[{"aoVal": "A", "content": "$$36$$ hours "}], [{"aoVal": "B", "content": "$$25$$ days "}], [{"aoVal": "C", "content": "$$36$$ minutes "}], [{"aoVal": "D", "content": "$$216$$ minutes "}], [{"aoVal": "E", "content": "$$39$$ hours "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "482", "queId": "3ef192faefad4e69b48d4c8beebda367", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which of these statements is always true? ", "answer_option_list": [[{"aoVal": "A", "content": "If there are at least two twos in a number then it must be a multiple of two. "}], [{"aoVal": "B", "content": "If a number ends in five then it must be a multiple of $25$. "}], [{"aoVal": "C", "content": "If the last two digits in a number are a multiple of four then the number must be a multiple of four. "}], [{"aoVal": "D", "content": "If a number is an even number then it must be a multiple of $4$. "}], [{"aoVal": "E", "content": "If the sum of all the digits in a number is a multiple of five then the number must be a multiple of five. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"], "answer_analysis": [" "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "484", "queId": "4c70208d2d634080b9af48073b430402", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The first four numbers of a sequence are $$1$$, $$4$$, $$7$$, and $$10$$. What is the difference between the sixth and tenth numbers of this sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$14$$ "}], [{"aoVal": "B", "content": "$$13$$ "}], [{"aoVal": "C", "content": "$$11$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$22$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "485", "queId": "4c7026b368b3461e80cbd79fffc1b38e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "An apple, $2$ pears and a strawberry together weigh $$12$$ pounds. $3$ apples and a strawberry weigh $$10$$ pounds. A pear and a strawberry together weigh $$2$$ pounds more than an apple. How much does an apple weigh? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ pounds "}], [{"aoVal": "B", "content": "$$2$$ pounds "}], [{"aoVal": "C", "content": "$$3$$ pounds "}], [{"aoVal": "D", "content": "$$4$$ pounds "}], [{"aoVal": "E", "content": "$$5$$ pounds "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "487", "queId": "5a054f3b2c2542f7885710777d0e6f13", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers are not divisible by $5$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12345$$ "}], [{"aoVal": "B", "content": "$$67890$$ "}], [{"aoVal": "C", "content": "$$98765$$ "}], [{"aoVal": "D", "content": "$$54321$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "488", "queId": "e36478f269704f7cbab4a7045d93bbec", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A simple pendulum swings about the vertical equilibrium position with a maximum angular displacement of 5° and period T. If the same pendulum is given a maximum angular displacement of $$ 10^{\\circ} $$, then which of the following best gives the period of the oscillations? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$$101$$ "}], [{"aoVal": "B", "content": "$$$102$$ "}], [{"aoVal": "C", "content": "$$$110$$ "}], [{"aoVal": "D", "content": "$$$120$$ "}], [{"aoVal": "E", "content": "$$$130$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "650", "queId": "5b0f15f1ab234dc9911d9069f261a710", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The perimeter of a rectangle is $$18cm$$. Assuming that the side lengths are integers, how many different cases are there for the area of this rectangle? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$16$$ "}], [{"aoVal": "B", "content": "$$63$$ "}], [{"aoVal": "C", "content": "$$31$$ "}], [{"aoVal": "D", "content": "$$30$$ "}], [{"aoVal": "E", "content": "$$21$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "653", "queId": "5234679bcf7d40b9815c77a690da3f3e", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A department store manager wants to know if a greater proportion of customers on the store\\textquotesingle s mailing list would redeem a coupon for $\\textbackslash$$5 off the price of an item than would redeem a coupon for 10 percent off the price of anitem. The manager mails a $\\textbackslash$$5 off coupon to a random sample of 500 customers and mails a 10 percent off coupon to an independent random sample of 500 customers. The number of coupons of each type that were redeemed was recorded. Assuming that the conditions for inference are met, what test procedure should be usedto answer the manager\\textquotesingle s question? ", "answer_option_list": [[{"aoVal": "A", "content": "A one-sample t-test for a mean "}], [{"aoVal": "B", "content": "A one-sample z-test for a proportion "}], [{"aoVal": "C", "content": "A t-test for the slope of a regression line "}], [{"aoVal": "D", "content": "A matched-pairs t-test for a mean difference "}], [{"aoVal": "E", "content": "A two-sample z-test for a difference between two proportions "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "660", "queId": "4dda5ab5cd924849a3462af6b30ccdc7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$\\textasciitilde$ The digit $$3$$ in $$7.934$$ stands for $$3$$． ", "answer_option_list": [[{"aoVal": "A", "content": "ones "}], [{"aoVal": "B", "content": "tens "}], [{"aoVal": "C", "content": "tenths "}], [{"aoVal": "D", "content": "hundredths "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules", "Overseas In-curriculum->Knowledge Point->Knowing Numbers->Decimals->Meaning for Decimals ->Decimal Place Value"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "661", "queId": "5fb0b8df80854885bedd93d2bec61f62", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the quotient when $$525$$ is divided by $$5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$105$$ "}], [{"aoVal": "C", "content": "$$125$$ "}], [{"aoVal": "D", "content": "$$150$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "662", "queId": "a7dbaf08e81c406bac37c2339c8729da", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "With how many zeroes does the product of the first $$2006$$ consecutive prime numbers end? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "665", "queId": "8c4f7ba315874982943af50e115539c9", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate quickly $1000\\div8$ =． ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$25$$ "}], [{"aoVal": "C", "content": "$$125$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "669", "queId": "a7e7c23405d74673aeb05405739fe35a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There is a three-digit number. The hundreds digit of the number is $$6$$ more than the smallest even number. The tens digit is the smallest odd number and this number is a multiple of both $$2 $$ and $$5$$ . What is this number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$210$$ "}], [{"aoVal": "B", "content": "$$205$$ "}], [{"aoVal": "C", "content": "$$800$$ "}], [{"aoVal": "D", "content": "$$810$$ "}], [{"aoVal": "E", "content": "$$815$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "671", "queId": "4538d1679fb24f76824ebda9a1aa97d0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "A "}], [{"aoVal": "B", "content": "B "}], [{"aoVal": "C", "content": "c "}], [{"aoVal": "D", "content": "d "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "672", "queId": "958beab577f54106982564e1778b0f96", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The answer of the following equation: $$(203+204+\\ldots \\ldots +288)-(49+50+51+\\ldots \\ldots +131)$$ is an~\\uline{~~~~~~~~~~}~number. ", "answer_option_list": [[{"aoVal": "A", "content": "odd "}], [{"aoVal": "B", "content": "even "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "676", "queId": "5b59e0a8671b478f8941fe4b89192db6", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A two-sample t-test of the hypotheses H\\textsubscript{0} :~$\\mu\\_{1}-\\mu\\_{2}$~= 0 versus H\\textsubscript{a}~:~$\\mu\\_{1}-\\mu\\_{2}$ \\textgreater{} 0 produces a p-value of 0.03. Which of the following must be true? $\\textasciitilde$ I. A 90 percent confidence interval for the difference in means will contain the value 0. $\\textasciitilde$ Il. A 95 percent confidence interval for the difference in means will contain the value 0. $\\textasciitilde$ II. A 99 percent confidence interval for the difference in means will contain the value 0. ", "answer_option_list": [[{"aoVal": "A", "content": "I only "}], [{"aoVal": "B", "content": "III only "}], [{"aoVal": "C", "content": "I and II only "}], [{"aoVal": "D", "content": "Il and III only "}], [{"aoVal": "E", "content": "I, Il, and I "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "678", "queId": "5fda8aaae56d480d9daeee65becd01bf", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "When a number is divided by $$9$$, it gives a quotient of $$23$$ and a remainder of $$5$$. What is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$115$$ "}], [{"aoVal": "B", "content": "$$124$$ "}], [{"aoVal": "C", "content": "$$207$$ "}], [{"aoVal": "D", "content": "$$212$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "679", "queId": "71f404113bff499b8a7ce49d66e99869", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "a "}], [{"aoVal": "B", "content": "b "}], [{"aoVal": "C", "content": "c "}], [{"aoVal": "D", "content": "d "}], [{"aoVal": "E", "content": "e "}], [{"aoVal": "F", "content": "f "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "683", "queId": "6463190828de4109a1882d72c2145782", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is the correct expression of the base $7$ numeral system? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\left (3423\\right )\\_5$ "}], [{"aoVal": "B", "content": "$\\left (5143\\right )\\_6$ "}], [{"aoVal": "C", "content": "$\\left (3256\\right )\\_7$ "}], [{"aoVal": "D", "content": "$\\left (3634\\right )\\_5$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Properties and Applications of Number Bases"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "690", "queId": "57064d2e909f4dff8f92ae31b1d79833", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "How many factors are there? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "698", "queId": "91140357583d4e84956912e60a9bada8", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Without calculating, determine if the answer is an odd or even number. $$33 \\times 7 \\times 11$$ is an~\\uline{~~~~~~~~~~}~number, $$28 \\times 9 \\times 4$$ is an~\\uline{~~~~~~~~~~}~number. ", "answer_option_list": [[{"aoVal": "A", "content": "odd, even "}], [{"aoVal": "B", "content": "even, even "}], [{"aoVal": "C", "content": "even, odd "}], [{"aoVal": "D", "content": "odd, odd "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Multiplication Rules of Odd and Even Numbers"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "703", "queId": "52b49a94d74e4ae6b6e7679e55edb578", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are~\\uline{~~~~~~~~~~}~common multiples of $$6$$ and $$8$$ that are smaller than $$50$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "705", "queId": "7b2b65de10c34932b93a8f9f0cb48f0c", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The least whole number whose digits add up to $$82$$ hasdigits. ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "707", "queId": "6493defe074c46baac5e0f06197d1909", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "a "}], [{"aoVal": "B", "content": "b "}], [{"aoVal": "C", "content": "c "}], [{"aoVal": "D", "content": "d "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "711", "queId": "da9eba52f4fa461abcd30c9746ea015e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many zeroes does the number $$2^{29}\\times5^{10}$$ end with? ", "answer_option_list": [[{"aoVal": "A", "content": "$$39$$ "}], [{"aoVal": "B", "content": "$$29$$ "}], [{"aoVal": "C", "content": "$$19$$ "}], [{"aoVal": "D", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"], "answer_analysis": ["N/A.　 "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "713", "queId": "daa0075ed4794efdb260384cc467511b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these numbers is a factor of $12$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$24$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "714", "queId": "4a0630d0582d49988b1fc7880e04eacd", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "In the $$3$$-digit number $$2M4$$ is divisible by $$6$$, what is the smallest value of the digit $$M$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["$$N.A$$ "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "718", "queId": "84579778be8a4c6aa9f9b4a73ecc544b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "When my number is divided by $$3$$, I have a quotient of $$15$$ and a remainder of $$2$$. What number am I? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$33$$ "}], [{"aoVal": "C", "content": "$$43$$ "}], [{"aoVal": "D", "content": "$$47$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "719", "queId": "692a59e22c8e4059b5e31c99f63e04a9", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is the correct expression of the base-$7$ numeral system? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\left (3423\\right )\\_5$ "}], [{"aoVal": "B", "content": "$\\left (5143\\right )\\_6$ "}], [{"aoVal": "C", "content": "$\\left (3256\\right )\\_7$ "}], [{"aoVal": "D", "content": "$\\left (3639\\right )\\_7$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Properties and Applications of Number Bases"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "720", "queId": "f65facf9328c4646b63aa938a70ea841", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The correct prime factorization of number $84$ is ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1\\times 2\\times 2\\times 2\\times 7$$ "}], [{"aoVal": "B", "content": "$$14\\times 6$$ "}], [{"aoVal": "C", "content": "$$7\\times 12$$ "}], [{"aoVal": "D", "content": "$$2\\times 2\\times 3\\times 7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "722", "queId": "7238728442bc48ccaf2dff361be72ac5", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following is a factor of $21$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "725", "queId": "9eea49422b59491696ccb6aedc10be17", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number when divided by $$5$$ has a quotient of $$62$$ and a remainder of $$3$$. What is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$186$$ "}], [{"aoVal": "B", "content": "$$191$$ "}], [{"aoVal": "C", "content": "$$310$$ "}], [{"aoVal": "D", "content": "$$313$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "728", "queId": "ba6cc6f3f0c1434ebfa2b13c5b853a75", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the square root of the number whose square is $$16$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$\\sqrt{{8}}$$ "}], [{"aoVal": "D", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "737", "queId": "d61140daf5af48b0b7d474d5a77e1cac", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers is divisible by $$4$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5783954$$ "}], [{"aoVal": "B", "content": "$$1090196$$ "}], [{"aoVal": "C", "content": "$$742826$$ "}], [{"aoVal": "D", "content": "$$9928962$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "739", "queId": "6dc991dacdc44f1db9008b85ec270d1a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which \\textbf{ONE~}of the following numbers is \\textbf{NOT} divisible by $$3$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$18171$$ "}], [{"aoVal": "B", "content": "$$44481$$ "}], [{"aoVal": "C", "content": "$$38501$$ "}], [{"aoVal": "D", "content": "$$57060$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "742", "queId": "b5e6d67c800346438e0068f4df0b64ae", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The smallest positive integer greater than 1 that leaves a remainder of 1 when divided by 4, 5, and 6 lies between which of the following pairs of numbers? 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She tells him, \"My house number has two digits, and exactly three of the following four statements about it are true.\" (1) It is prime. (2) It is even. (3) It is divisible by $7$. (4) One of its digits is $9$. This information allows Malcolm to determine Isabella\\textquotesingle s house number. What is its units digit? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "796", "queId": "a85caab88a524fcaa396a654fa5c4746", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The sum of two numbers is 300. One number is 5 times of the other number. What is the difference between the two numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$50$$ "}], [{"aoVal": "B", "content": "$$60$$ "}], [{"aoVal": "C", "content": "$$180$$ "}], [{"aoVal": "D", "content": "$$200$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "800", "queId": "7bb855819bb94574842a6d5ef919b893", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers is divisible by $$9$$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$64$$ "}], [{"aoVal": "D", "content": "$$125$$ "}], [{"aoVal": "E", "content": "$$180$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Multiplication Rules of Odd and Even Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "807", "queId": "f1e7ecc9e4f04424a66439d679b99cec", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Two apples cost $10$ cents, and two peaches cost $4$ cents. How much do one apple and one peach cost in total? (Adapted from 2019 Math Kangaroo Problem, Level 1-2, Question \\#8) ", "answer_option_list": [[{"aoVal": "A", "content": "$5$ cents "}], [{"aoVal": "B", "content": "$6$ cents "}], [{"aoVal": "C", "content": "$7$ cents "}], [{"aoVal": "D", "content": "$8$ cents "}], [{"aoVal": "E", "content": "$9$ cents "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "808", "queId": "918f206b2fd044418037d658a27ba7ff", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What number between $37$ and $47$ is exactly divisble by both $2$ and $3$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$38$$ "}], [{"aoVal": "B", "content": "$$39$$ "}], [{"aoVal": "C", "content": "$$42$$ "}], [{"aoVal": "D", "content": "$$44$$ "}], [{"aoVal": "E", "content": "$$45$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "809", "queId": "9620f76dca0b4103a547170a39cc51a2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Teacher Angel wrote the numbers $1$ to $20$ on a blackboard. How many times is the digit \\textquotesingle$1$\\textquotesingle{} written on the board? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$11$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$13$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "812", "queId": "72cef2c8b4614e1bbf79de7f42938dae", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is three million, ninety thousand and four in numeral? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3009004$$ "}], [{"aoVal": "B", "content": "$$3900004$$ "}], [{"aoVal": "C", "content": "$$3090004$$ "}], [{"aoVal": "D", "content": "$$3000904$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Knowing Numbers->Whole Numbers->Knowing Numbers Beyond 10000->Reading and Writing Large Numbers ", "Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "813", "queId": "9f49ba0b45f24142b173e2f9bd06bd5a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Lan is $$2\\textasciitilde cm$$ taller than George and George is $$3\\textasciitilde cm$$ shorter than Kelly. If the Kelly is $$147\\textasciitilde cm$$, what is Lan\\textquotesingle s height? ", "answer_option_list": [[{"aoVal": "A", "content": "$$145$$ "}], [{"aoVal": "B", "content": "$$144$$ "}], [{"aoVal": "C", "content": "$$138$$ "}], [{"aoVal": "D", "content": "$$148$$ "}], [{"aoVal": "E", "content": "$$146$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "814", "queId": "6e5cbcdfaef2457bad83bcc98766e358", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$LCM[8,12]=$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$24$$ "}], [{"aoVal": "C", "content": "$$48$$ "}], [{"aoVal": "D", "content": "$$96$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "816", "queId": "df77cf0d23b84f489fff4910054f0392", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Tom drove the car for $$150$$ km and consumed a quarter of the fuel tank. The average fuel consumption of this car is $$10$$ km/litre. If the fuel cost is $$$1.20$$ per litre, how much would he have to pay to fill an entire empty tank? ", "answer_option_list": [[{"aoVal": "A", "content": "$$$60$$ "}], [{"aoVal": "B", "content": "$$$70$$ "}], [{"aoVal": "C", "content": "$$$80$$ "}], [{"aoVal": "D", "content": "$$$72$$ "}], [{"aoVal": "E", "content": "$$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "817", "queId": "d1b6f1a1fdb94600b8ebb9e6ea251226", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "John buys a farm with $$25$$ rabbits and chickens. If there are $$80$$ legs in total, find the number of chickens on the farm. ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$14$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "818", "queId": "7beb660d41b441a79ef1c1ada22d735a", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Eight days after the day before yesterday is Friday. Which day of the week is tomorrow? ", "answer_option_list": [[{"aoVal": "A", "content": "Friday "}], [{"aoVal": "B", "content": "Saturday "}], [{"aoVal": "C", "content": "Sunday "}], [{"aoVal": "D", "content": "Thursday "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "820", "queId": "611590b457eb47099a45583da98603f8", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "Using the octal system (base $6$ numeral system) to calculate $\\left (243\\right )\\_6 + \\left (15\\right )\\_6$, the answer should be． ", "answer_option_list": [[{"aoVal": "A", "content": "$\\left (302\\right )\\_6$ "}], [{"aoVal": "B", "content": "$\\left (258\\right )\\_6$ "}], [{"aoVal": "C", "content": "$\\left (331\\right )\\_6$ "}], [{"aoVal": "D", "content": "$\\left (262\\right )\\_6$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Properties and Applications of Number Bases"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "821", "queId": "80753afd28154aa0a299d5a9a42d385b", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Is $$123$$ divisible by $$11$$? If not, what is the remainder? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "823", "queId": "611ca758d6ff42f994a9e409df9ce619", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In the relay race, Tom ran $$100$$ metres in $$11$$ seconds and George ran $$10$$ metres more than Tom in the same time. What is the total distance covered by Tom and George? ", "answer_option_list": [[{"aoVal": "A", "content": "$$210m$$ "}], [{"aoVal": "B", "content": "$$250m$$ "}], [{"aoVal": "C", "content": "$$190m$$ "}], [{"aoVal": "D", "content": "$$200m$$ "}], [{"aoVal": "E", "content": "$$220m$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "831", "queId": "b646afe9a053400bae3cf6569d32b723", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The factors of $$63$$ are $$1$$, $$3$$, $$7$$,~\\uline{~~~~~~~~~~}~,~\\uline{~~~~~~~~~~}~and $$63$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ and $$9$$ "}], [{"aoVal": "B", "content": "$$8$$ and $$9$$ "}], [{"aoVal": "C", "content": "$$9$$ and $$21$$ "}], [{"aoVal": "D", "content": "$$11$$ and $$21$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "833", "queId": "d6603154d60e45e7b00b6725dbcbfbdd", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I am thinking of a number. The number is smaller than $$40$$. It can be found in both the multiplication tables of $$6$$ and $$8$$. What number am I thinking of? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$28$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "836", "queId": "91d248cc1aea461eb5a0a5608a37446d", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "For a positive integer~~the factorial notation n! represents the product of the integers from n to 1 (For example,~$6!=6\\cdot5\\cdot4\\cdot3\\cdot2\\cdot1$) What value of N satisfies the following equation? $5!\\cdot9!=12\\cdot N!$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$13$$ "}], [{"aoVal": "E", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "839", "queId": "f20705c99be247ff8e418a3a6b299285", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "How many positive three-digit integers have a remainder of 2 when divided by 6, a remainder of 5 when divided by 9, and a remainder of 7 when divided by 11? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "841", "queId": "8d507bec333746e1aa3fdb3cbb45237a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following statements is incorrect? ", "answer_option_list": [[{"aoVal": "A", "content": "$$108$$ is a multiple of $$3$$ and $$9$$ "}], [{"aoVal": "B", "content": "$$105$$ is a multiple of $$5$$, but it is not a multiple of $$10$$ "}], [{"aoVal": "C", "content": "$$164$$ is a multiple of $$4$$ "}], [{"aoVal": "D", "content": "$$134$$ is a multiple of $$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "844", "queId": "77a5a605f5f94825a021ea6db07e09dd", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following statements must be true? ", "answer_option_list": [[{"aoVal": "A", "content": "The correlation coefficient of the data is positive. "}], [{"aoVal": "B", "content": "The sum of the residuals for the data based on the regression line is positive. "}], [{"aoVal": "C", "content": "A scatterplot of the data would show a linear pattern. "}], [{"aoVal": "D", "content": "The slope of the sample regression line is 1.348. "}], [{"aoVal": "E", "content": "The slope of the sample regression line is 0. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "845", "queId": "6167b7eacb9f4db38c5d81f1efe97699", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In the number $$67 543$$, the digit~\\uline{~~~~~~~~~~}~is in the ten thousands place. ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "846", "queId": "966dbe1b5fe645d7bfcf82d3afe6d2ad", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A cube~box with a size of~$$15 cm \\times 15 cm \\times 15 cm$$ is used to hold small cubes. The size of small cubes is $$3 cm \\times 3 cm \\times 3 cm$$. How many small cubes can this large cube box hold? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$125$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "851", "queId": "b6597c38bef643e8ba11d1474be0ac86", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Write $$32$$ hundreds and $$4$$ ones in numerals. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3240$$ "}], [{"aoVal": "B", "content": "$$3204$$ "}], [{"aoVal": "C", "content": "$$360$$ "}], [{"aoVal": "D", "content": "$$324$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "852", "queId": "967336324985477e8a10c81b0fb8dd80", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which is \\textbf{NOT} a square number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$49$$ "}], [{"aoVal": "B", "content": "$$59$$ "}], [{"aoVal": "C", "content": "$$64$$ "}], [{"aoVal": "D", "content": "$$81$$ "}], [{"aoVal": "E", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "857", "queId": "7c3f31bd33404dff95cf297a7575a0f6", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A survey of a random sample of 210 male teens and 228 female teens, ages 13 years to 17 years, found that 122 of the male teens and 160 of the female teens brush their teeth at least twice a day. If there is no difference between the proportions in the population of all male and female teens ages 13 years to 17 years who brush their teeth at least twice a day, approximately how many males and females in the sample would be expected to brush their teeth at least twice a day? ", "answer_option_list": [[{"aoVal": "A", "content": "105 males and 114 females "}], [{"aoVal": "B", "content": "122 males and 160 females "}], [{"aoVal": "C", "content": "135 males and 147 females "}], [{"aoVal": "D", "content": "141 males and 141 females "}], [{"aoVal": "E", "content": "219 males and 219 females "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "858", "queId": "80c6964a30ba47dfac83ea02db64b388", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Gary, Ivan and Martin are doing arithmetic problems. The number of problems Gary does is three times that of Martin, and the number of problems Ivan does is two times that of Gary. Ivan does 15 to more problems than Martin. How many questions did they do altogether? ", "answer_option_list": [[{"aoVal": "A", "content": "$$25$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$20$$ "}], [{"aoVal": "D", "content": "$$35$$ "}], [{"aoVal": "E", "content": "$$30$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "861", "queId": "6eda42e1e78f48fcb750c3ac5def8165", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the sum of the digits in the number $$2009$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "865", "queId": "a8c415b152b4495f9eabf6161fb08af1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I am thinking of a number. The number is smaller than $$40$$. It can be found in both the multiplication tables of $$6$$ and $$8$$. What number am I thinking of? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$28$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "870", "queId": "736c3923a33a4972b548d5f4e2c2b182", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The teacher writes a one-digit number first on the whiteboard, then writes the largest single digit to its right, and at last, adds $$38$$ to the number. The teacher gets a sum of $$117$$. Which one-digit number did the teacher write at first on the whiteboard? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$7$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "872", "queId": "b1e870b0921449bcaf72103a9c7d929e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number when divided by $$5$$ has a quotient of $$62$$ and a remainder of $$3$$. What is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$186$$ "}], [{"aoVal": "B", "content": "$$191$$ "}], [{"aoVal": "C", "content": "$$310$$ "}], [{"aoVal": "D", "content": "$$313$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "873", "queId": "85616760b40c4bbc83228b84b5aeda58", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "For any positive integer M, the notation M! denotes the product of the integers 1 through M. What is the largest integer n for which 5n is a factor of the sum 98! + 99! + 100! ? ", "answer_option_list": [[{"aoVal": "A", "content": "$$23$$ "}], [{"aoVal": "B", "content": "$$24$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$26$$ "}], [{"aoVal": "E", "content": "$$27$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "874", "queId": "c42e660aadd444c0bbdbc8ac17718a18", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Cut four identical squares with a perimeter of $$4 cm$$ each at~the corner out~of a $$15 cm \\times 6 cm$$ rectangle. What is the perimeter of the rest~of~the shape? ", "answer_option_list": [[{"aoVal": "A", "content": "$$40cm$$ "}], [{"aoVal": "B", "content": "$$42cm$$ "}], [{"aoVal": "C", "content": "$$90cm$$ "}], [{"aoVal": "D", "content": "$$58cm$$ "}], [{"aoVal": "E", "content": "$$50cm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "879", "queId": "6f0c4665d8534cfe8743e6f8f7f38fc5", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A 40-kg box slides down an incline that is angled 30$^{\\circ}$ above the horizontal. The box starts from rest at a height of 8 m, and the coefficient of kinetic friction is 0.2. What is the total work done on the box as it slides to the bottom of the incline? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1109J$$ "}], [{"aoVal": "B", "content": "$$2091J$$ "}], [{"aoVal": "C", "content": "$$3200J$$ "}], [{"aoVal": "D", "content": "$$4390J$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "880", "queId": "a44821f2331e4515866df7bc259c0f51", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "During Easter, tickets are $$$6$$ for a single person and $$$18$$ for a family ($$2$$ adults and $$2$$ children). What is the difference in price between $$4$$ single tickets and a family ticket? ", "answer_option_list": [[{"aoVal": "A", "content": "$$$13$$ "}], [{"aoVal": "B", "content": "$$$3$$ "}], [{"aoVal": "C", "content": "$$$4$$ "}], [{"aoVal": "D", "content": "$$$6$$ "}], [{"aoVal": "E", "content": "$$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "884", "queId": "b1f51ed39249464fb95db208f59e4e58", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the difference between the values of the digit $$5$$ in $$5034$$ and $$3054$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1980$$ "}], [{"aoVal": "B", "content": "$$4950$$ "}], [{"aoVal": "C", "content": "$$5050$$ "}], [{"aoVal": "D", "content": "$$8088$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "890", "queId": "96b364d144eb4613bebacf4eecf95e4e", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "If I fold a square into two equal parts, the two parts can\\textquotesingle t be ", "answer_option_list": [[{"aoVal": "A", "content": "rectangle "}], [{"aoVal": "B", "content": "parallelogram "}], [{"aoVal": "C", "content": "square "}], [{"aoVal": "D", "content": "trapezoid "}], [{"aoVal": "E", "content": "triangle "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "891", "queId": "922ffa83c1ca4264b6416fd6375f3c69", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$48$$ is not a multiple of ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$14$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"], "answer_analysis": [" "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "892", "queId": "c8d90927ba1d49b799c3214bff8d7c62", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The houses on the street where Teacher Miu lives are numbered from 1 to 35. How many times does the digit 3 appear in the numbering of those houses?~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$11$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "893", "queId": "8a0b8c0898e4405ca49d978d1d177dce", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate quickly $1000\\div8$ =． ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$25$$ "}], [{"aoVal": "C", "content": "$$125$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "895", "queId": "7c92cf2ae2724464b6e7166d4cdb999b", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "96 has~\\uline{~~~~~~~~~~}~factors. ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "897", "queId": "781bda6ede684190b81886abed772008", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A large cuboid box measures~$$28 cm \\times 16 cm \\times 8 cm$$. How many cubes with an~edge length of $$4 cm$$ can fit in this large box? ", "answer_option_list": [[{"aoVal": "A", "content": "$$76$$ "}], [{"aoVal": "B", "content": "$$56$$ "}], [{"aoVal": "C", "content": "$$48$$ "}], [{"aoVal": "D", "content": "$$192$$ "}], [{"aoVal": "E", "content": "$$58$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "899", "queId": "8db3ede17834489eb29bbed9f95a1fcc", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "A "}], [{"aoVal": "B", "content": "B "}], [{"aoVal": "C", "content": "C "}], [{"aoVal": "D", "content": "D "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "902", "queId": "7827048ffbf04fdb8f6833a28e85f82b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In $$432768$$, the digit $$3$$ is in the~\\uline{~~~~~~~~~~}~place. ", "answer_option_list": [[{"aoVal": "A", "content": "hundreds "}], [{"aoVal": "B", "content": "thousands "}], [{"aoVal": "C", "content": "ten thousands "}], [{"aoVal": "D", "content": "hundred thousands "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "903", "queId": "7c9fafb5e6394fc1afe4acd65b669ee2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are four different natural numbers, the sum of any two of them is a multiple of $$2$$, and the product of any three numbers is a multiple of $$3$$. In order to make the sum of these four numbers as small as possible, these four numbers are ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$，$$3$$，$$5$$，$$9$$ "}], [{"aoVal": "B", "content": "$$3$$，$$9$$，$$15$$，$$21$$ "}], [{"aoVal": "C", "content": "$$1$$，$$3$$，$$7$$，$$9$$ "}], [{"aoVal": "D", "content": "$$3$$，$$6$$，$$9$$，$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "907", "queId": "e4668d6fad134be181d14388b106454e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the following statements is true? ", "answer_option_list": [[{"aoVal": "A", "content": "If you add two odd numbers you always get an odd number. "}], [{"aoVal": "B", "content": "If you multiply two odd numbers you always get an even number. "}], [{"aoVal": "C", "content": "If you add an odd and an even number you always get an even number. "}], [{"aoVal": "D", "content": "If you multiply an odd and an even number you always get an even number. "}], [{"aoVal": "E", "content": "If you multiply two even numbers you always get an odd number. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "916", "queId": "85c603e796d7483bb9ec7d303e57f4bb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in this sequence? ~ $$1$$，$$3$$，$$5$$，$$7$$，$$9$$，$$11$$，$$?$$，$$15$$，$$17$$，$$19$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$13$$ "}], [{"aoVal": "D", "content": "$$11$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "919", "queId": "8df4f8a98907437288592ca74dcabf7b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Ming, Liang and Gang went fishing. They counted the number of fish they caught and found that Ming caught $4$ times as many fish as Liang caught, Liang caught $5$ fewer fish than Xiao Gang caught, Gang caught $7$ fewer fish than Ming caught. How many fish did Ming catch？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$64$$ "}], [{"aoVal": "B", "content": "$$32$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$34$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "924", "queId": "78810ce4db244a938c07e0cd191ff0cc", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There is a $$4$$-digit number. The first digit and the last digit of the number are even. The difference between the first digit and the last digit of the number is $$2$$. The digit in the hundreds place is the sum of the digit in the thousands place and tens place. What is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4532$$ "}], [{"aoVal": "B", "content": "$$4732$$ "}], [{"aoVal": "C", "content": "$$6734$$ "}], [{"aoVal": "D", "content": "$$6932$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Fun Problems in Math->Reasoning", "Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "927", "queId": "c475520d76a744fe97ba9e1abb950e33", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In the number $$67 543$$, the digit~\\uline{~~~~~~~~~~}~is in the ten thousands place. ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "928", "queId": "adb6e495fe094d04ba9b6d9ff3d37e99", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The radius of a circle is $$\\frac{1}{2}$$~the length of the side of the square. How many times the perimeter of a square is the diameter of a circle? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{4}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{2}$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "931", "queId": "bb5f5042155d4c418e1b867c2a15da5f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The store sold $25$ red balloons and blue balloons. The number of red balloons sold is four times that of blue balloons. How many red balloons and blue balloons are sold respectively? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ and $$20$$ "}], [{"aoVal": "B", "content": "$$18$$ and $$7$$ "}], [{"aoVal": "C", "content": "$$15$$ and $$10$$ "}], [{"aoVal": "D", "content": "$$20$$ and $$5$$ "}], [{"aoVal": "E", "content": "$$21$$ and $$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "932", "queId": "bff6f79ae4c24c46ae663aeb88888ab1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In the number $$3602$$, the digit \\textquotesingle$$6$$\\textquotesingle{} is in the． ", "answer_option_list": [[{"aoVal": "A", "content": "tens place. "}], [{"aoVal": "B", "content": "hundreds place. "}], [{"aoVal": "C", "content": "thousands place. "}], [{"aoVal": "D", "content": "ones place. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "938", "queId": "a03085ead51848d1919eed782c090e74", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many prime numbers are between $$10$$ and $$20$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "941", "queId": "ff85e1a42df44de38a7b5418e1206ec4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I am thinking of a number. The number is smaller than $$40$$. It can be found in both the multiplication tables of $$6$$ and $$8$$. What number am I thinking of? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$28$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "942", "queId": "dff46d92a1464ac888b163ca12a9c451", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "George buys boxes of mangoes for $$$16$$ each and sells them for $$$23$$ per box. How many boxes of mangoes would he have to sell to make $$$56$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "945", "queId": "ff8a6b0bf17b471d914320380cfb5ed7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following statements is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ is a factor of $$38$$. "}], [{"aoVal": "B", "content": "$$6$$ is a factor of $$72$$. "}], [{"aoVal": "C", "content": "$$8$$ is a common factor of $$72$$ and $$84$$. "}], [{"aoVal": "D", "content": "$$9$$ is a common factor of $$38$$ and $$72$$. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "947", "queId": "97373a51cfd64f11a203fb54a44847fc", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$14532$ can be written as $10000 + 4000 + 500 + 30 + 2$ What is the value of the 6 in the number $3796423$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$600$$ "}], [{"aoVal": "B", "content": "$$6000$$ "}], [{"aoVal": "C", "content": "$$60000$$ "}], [{"aoVal": "D", "content": "$$60$$ "}], [{"aoVal": "E", "content": "$$600000$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Expression of Place Value Principle"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "951", "queId": "db75310f6c8f469b9e854026a2aa989f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "John, George and Oscar ran around the circular track in the same direction at the same time. John took $$6$$ seconds, George took $$20$$ seconds, and Oscar took $$30$$ seconds. If they continue to chase each other, when will they meet again at the starting point? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ hours "}], [{"aoVal": "B", "content": "$$1$$ day "}], [{"aoVal": "C", "content": "$$4$$ minutes "}], [{"aoVal": "D", "content": "$$124$$ minutes "}], [{"aoVal": "E", "content": "$$9$$ hours "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "952", "queId": "97449317483943e2818b63bc9ad519af", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of these numbers has exactly two different prime factors? $$78\\textasciitilde\\textasciitilde\\textasciitilde105\\textasciitilde\\textasciitilde\\textasciitilde121\\textasciitilde\\textasciitilde\\textasciitilde97\\textasciitilde\\textasciitilde\\textasciitilde183$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$78$$ "}], [{"aoVal": "B", "content": "$$105$$ "}], [{"aoVal": "C", "content": "$$121$$ "}], [{"aoVal": "D", "content": "$$97$$ "}], [{"aoVal": "E", "content": "$$183$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Knowing Prime and Composite Numbers"], "answer_analysis": [" "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "953", "queId": "fbaa955297234423b035a719e8b636d6", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Let N be the greatest five-digit number whose digits have a product of 120. What is the sum of the digits of N? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$17$$ "}], [{"aoVal": "D", "content": "$$18$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "954", "queId": "f70d4790f3924952a1f720e5b08d8a2a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Ellie travels 65km each month starting from March. Ryan travels 80km each month starting in June. In which month will Ellie and Ryan have an equal total distance travelled? ", "answer_option_list": [[{"aoVal": "A", "content": "July "}], [{"aoVal": "B", "content": "August "}], [{"aoVal": "C", "content": "September "}], [{"aoVal": "D", "content": "October "}], [{"aoVal": "E", "content": "November "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "955", "queId": "9bcc74b399e743b29ee8e038b7c8e3dd", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Cut four identical squares~at~the corner out~of a $$15 cm \\times 6 cm$$ rectangle. The perimeter of the 4 squares is 4 cm each. What is the perimeter of the rest~of~the shape? ", "answer_option_list": [[{"aoVal": "A", "content": "$$40cm$$ "}], [{"aoVal": "B", "content": "$$42cm$$ "}], [{"aoVal": "C", "content": "$$90cm$$ "}], [{"aoVal": "D", "content": "$$58cm$$ "}], [{"aoVal": "E", "content": "$$50cm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "958", "queId": "7d5daf6fffa644c6ac84b36c917f31e8", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Choose the number that can be divided exactly by both $$2$$ and $$5$$.　 ", "answer_option_list": [[{"aoVal": "A", "content": "$$44$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$52$$ "}], [{"aoVal": "D", "content": "$$90$$ "}], [{"aoVal": "E", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "959", "queId": "8e5822eb167f47599ad1efd3b6455569", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$GCF(16,21)=$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$16$$ "}], [{"aoVal": "B", "content": "$$21$$ "}], [{"aoVal": "C", "content": "none "}], [{"aoVal": "D", "content": "$$1$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "965", "queId": "7d765fb113f84bb19469f1a93762e5d5", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "With how many zeros does the product of the first $$10$$ consecutive prime numbers end? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "969", "queId": "81f45c5d6a4746359342f5d71f4150fc", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Choose the number that can be divided exactly by both $$2$$ and $$5$$.　 ", "answer_option_list": [[{"aoVal": "A", "content": "$$44$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$52$$ "}], [{"aoVal": "D", "content": "$$90$$ "}], [{"aoVal": "E", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "972", "queId": "8e81763bcff9429694d0a6543832f555", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Let $N$ be the greatest five-digit number whose digits have a product of $120$. What is the sum of the digits of $N$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$17$$ "}], [{"aoVal": "D", "content": "$$18$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "973", "queId": "ae0f648ae2304495a499324f76e697a5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I am a $2$ digit number. When $2$ is subtracted from me and the answer is doubled, I am the same $2$ digit number with my digits reversed. What number am I? ", "answer_option_list": [[{"aoVal": "A", "content": "$$33$$ "}], [{"aoVal": "B", "content": "$$24$$ "}], [{"aoVal": "C", "content": "$$49$$ "}], [{"aoVal": "D", "content": "$$34$$ "}], [{"aoVal": "E", "content": "$$28$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "978", "queId": "9c065fb8d40245f9a2ce58dccaa15e7f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the following numbers has the digit `$$3$$' in the ten thousands place? ", "answer_option_list": [[{"aoVal": "A", "content": "$$895321$$ "}], [{"aoVal": "B", "content": "$$859231$$ "}], [{"aoVal": "C", "content": "$$853921$$ "}], [{"aoVal": "D", "content": "$$835921$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "979", "queId": "a08c5a82cc0245cdb9d2f5de7606f6cb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A pie is $3$ dollars more expensive than $2$ donuts and a biscuit. A donut, a biscuit and a pie are $22$ dollars in total. A pie is $10$ dollars more expensive than a donut. How much are $2$ donuts, a biscuit and a pie in total? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ dollars "}], [{"aoVal": "B", "content": "$$20$$ dollars "}], [{"aoVal": "C", "content": "$$22$$ dollars "}], [{"aoVal": "D", "content": "$$25$$ dollars "}], [{"aoVal": "E", "content": "$$27$$ dollars "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "982", "queId": "bbb092af090440699b394c0289ecbfdb", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the smallest prime number that is greater than $$70$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$71$$ "}], [{"aoVal": "B", "content": "$$76$$ "}], [{"aoVal": "C", "content": "$$73$$ "}], [{"aoVal": "D", "content": "$$74$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "984", "queId": "cde7cfa1072d4412be0e04398b54339c", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate quickly: $92\\div4$~=． ", "answer_option_list": [[{"aoVal": "A", "content": "$100\\div4-8\\div4$ "}], [{"aoVal": "B", "content": "$100\\div4+8\\div4$ "}], [{"aoVal": "C", "content": "$92\\div4+8\\div4$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "985", "queId": "8ea3b058caf94d0193c3f3254f6907fe", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The month of December of a certain calendar year has exactly $$5$$ Saturdays and $$4$$ Sundays. On which day of the week does the first day of December fall? ", "answer_option_list": [[{"aoVal": "A", "content": "Monday "}], [{"aoVal": "B", "content": "Tuesday "}], [{"aoVal": "C", "content": "Wednesday "}], [{"aoVal": "D", "content": "Thursday "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "986", "queId": "d27f4b6a22f34187b7affaee4f691fd6", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the following is not a common factor of $$24$$ and $$32$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "987", "queId": "9c173bd4b4e44d4ab5a10606be3a489a", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "How many factors of $2020$ have more than $3$ factors? (As an example, $12$ has $6$ factors, namely $1$,$2$,$3$,$4$,$6$ and $12$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "988", "queId": "cdeab6a339644290901101d4d1c4e20b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following statement is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ is a factor of $$28$$ "}], [{"aoVal": "B", "content": "$$12$$ is a multiple of $$8$$ "}], [{"aoVal": "C", "content": "$$3$$ is a common factor of $$18$$ and $$32$$ "}], [{"aoVal": "D", "content": "$$24$$ is a common multiple of $$6$$ and $$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "990", "queId": "a9ac9de55fc54b48aa9436f08bf76093", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There is a row of chairs with $27$ seats, in order to make the person to go to sit at any position are adjacent to the original person. How many people should sit first at least? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "991", "queId": "a9b03e94abb74c3eb3d9cdf8a9458389", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Last year, Gina saved $$$4$$ in January, $$$8$$ in February, $$$12$$ in March, $$$16$$ in April, and so on. She saved $$$48$$ in December. How much money did Gina save in total over the last year? ", "answer_option_list": [[{"aoVal": "A", "content": "$$316$$ "}], [{"aoVal": "B", "content": "$$315$$ "}], [{"aoVal": "C", "content": "$$312$$ "}], [{"aoVal": "D", "content": "$$306$$ "}], [{"aoVal": "E", "content": "$$314$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "993", "queId": "ffb895ab1640418596e2b701058e5ec7", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many squares of 4cm side can fit in a square of $$16cm$$ side? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$20$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "994", "queId": "a0aa452d9b4c424ca9f4c74d6eccd093", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the quotient of $$600\\div 9$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$66$$ "}], [{"aoVal": "D", "content": "$$72$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1000", "queId": "d292fe3b06174e7abf0c915bb75343b6", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The sum of the digits of the $$10$$-digit number is $$9$$. What is the product of the digits of this number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$45$$ "}], [{"aoVal": "D", "content": "$$9\\times 8\\times 7\\times \\cdots \\times 2\\times 1$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1003", "queId": "8ed1989a39a94a238ee047c21f8e1b30", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I am thinking of a number. The number is smaller than $$40$$. It can be found in both the multiplication tables of $$6$$ and $$8$$. What number am I thinking of? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$28$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1009", "queId": "a0d1172c69bc4171a49a059171295b0b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$40509$$ What is this number in words? ", "answer_option_list": [[{"aoVal": "A", "content": "Four thousand five hundred and nine "}], [{"aoVal": "B", "content": "Four thousand and fifty-nine "}], [{"aoVal": "C", "content": "Fourty thousand fifty hundred and nine "}], [{"aoVal": "D", "content": "Fourty thousand and fifty-nine "}], [{"aoVal": "E", "content": "Fourty thousand five hundred and nine "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1014", "queId": "a5556960f7564b54ba2baa7a6a987e2d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$11\\times12\\times13\\times15$~= ", "answer_option_list": [[{"aoVal": "A", "content": "Odd "}], [{"aoVal": "B", "content": "Even "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1015", "queId": "d2a5020f64cb4a038fb9f4440fcab978", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "For a positive integer~~the factorial notation $n!$ represents the product of the integers from $n$ to $1$ (For example,~$6!=6\\cdot5\\cdot4\\cdot3\\cdot2\\cdot1$) What value of $N$ satisfies the following equation? $5!\\cdot9!=12\\cdot N!$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$13$$ "}], [{"aoVal": "E", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1016", "queId": "9c5e8bf1f23e40bf9eaa19b2cdb927bc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are three whole number $A$, $B$, $C$. $A\\times B=91$, $B\\times C=112$, $$B\\neq1$$. $A+B+C=$~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$33$$ "}], [{"aoVal": "B", "content": "$$34$$ "}], [{"aoVal": "C", "content": "$$35$$ "}], [{"aoVal": "D", "content": "$$36$$ "}], [{"aoVal": "E", "content": "$$37$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1019", "queId": "bbeff4e8c267466d80237a94e1bbc9dc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are only apple trees and pear trees in the orchard. The number of apple trees is three times that of pear trees. Pear trees are 12 less than apple trees. How many fruit trees are there in the orchard？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$18$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$22$$ "}], [{"aoVal": "D", "content": "$$24$$ "}], [{"aoVal": "E", "content": "$$26$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1024", "queId": "e9860d3646024605b5e83f429e721252", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "After adding a two-digit number $$N$$ and a two-digit number that has the same digits as $$N$$ but written in reverse order, we got a square of a natural number as result. How many such numbers $$N$$ are there? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$2$$ "}], [{"aoVal": "E", "content": "other answer "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1026", "queId": "9c712b242faf43c7989ffd06a7dbfa80", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the remainder when dividing the sum: $$2001+2002+2003+2004+2005$$ by $$2004$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$1999$$ "}], [{"aoVal": "C", "content": "$$2002$$ "}], [{"aoVal": "D", "content": "$$2003$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder ->The additive property of the remainder"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1032", "queId": "e05d0eb0bbbe46a384db5585164c8563", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following prime factorization is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$$97=1\\times97$$ "}], [{"aoVal": "B", "content": "$$85=5\\times 17$$ "}], [{"aoVal": "C", "content": "$$64=8\\times 8$$ "}], [{"aoVal": "D", "content": "$$52=1\\times 2\\times 2\\times 13$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1033", "queId": "9c77a232d69a429d8fcca47ddd9f2db2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There is a balance and four weights $$1$$g, $$2$$g, $$5$$g and $$10$$g. If Sara wants to weigh an object weighing $$8$$g, how many weights should she use at least? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1035", "queId": "fbfac6d611234a98bba68b2786e6f5db", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are boys and girls swimming in the swimming pool. The number of boys is four times that of girls. There are $6$ girls less than boys. How many children are swimming in the swimming pool in total? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$11$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1036", "queId": "9c80cd4873b646009788ce931652158c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$$157255$$ is divisible by ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1038", "queId": "980dee01836d46ce8a7ce4ade7638109", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers are divisible by $3$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1234567$$ "}], [{"aoVal": "B", "content": "$$2345678$$ "}], [{"aoVal": "C", "content": "$$3456789$$ "}], [{"aoVal": "D", "content": "$$4567890$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1040", "queId": "9815f5d54ba74eb4a62069975912abd3", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In $$7108$$, the digit $$1$$ is in the place. ", "answer_option_list": [[{"aoVal": "A", "content": "ones "}], [{"aoVal": "B", "content": "tens "}], [{"aoVal": "C", "content": "hundreds "}], [{"aoVal": "D", "content": "thousands "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1041", "queId": "dbe8d798fbac49a180dc6fb7e4f2bab7", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "? ", "answer_option_list": [[{"aoVal": "A", "content": "a "}], [{"aoVal": "B", "content": "b "}], [{"aoVal": "C", "content": "c "}], [{"aoVal": "D", "content": "d "}], [{"aoVal": "E", "content": "e "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1044", "queId": "bc1eca6a629e4055b01311691096826b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number when divided by $$5$$ has a quotient of $$62$$ and a remainder of $$3$$. What is the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$186$$ "}], [{"aoVal": "B", "content": "$$191$$ "}], [{"aoVal": "C", "content": "$$310$$ "}], [{"aoVal": "D", "content": "$$313$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1047", "queId": "bc28be9a63e94b08920008bf916ad5b0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the following numbers has $$4$$ as a factor? ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$42$$ "}], [{"aoVal": "D", "content": "$$64$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"], "answer_analysis": [" "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1050", "queId": "e0805f850def4715b44c2a69b5d00e6b", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Elmo is packing $$107$$ cookies. He wants to put $$5$$ cookies exactly in each plastic bag. How many cookies will not be packed into plastic bags? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1051", "queId": "98431a4b7aec400cb19b4f6307f993fc", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. Of the 80 male students who were surveyed, 60 had brown eyes. If eye color and gender are independent, how many female students surveyed would be expected to have brown eyes? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$30$$ "}], [{"aoVal": "D", "content": "$$90$$ "}], [{"aoVal": "E", "content": "$$100$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1057", "queId": "d2e0d59c0f1c4f9da12cdca2bff83cf0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Five-digit number $$63\\square 25$$ can be divisible by $$45$$. What digit should be filled in the $$\\square $$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1059", "queId": "d2ea3090a1d1443a9b76d40828f2044a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Suppose N is a whole number. If N satisfies that $\\dfrac{N}{10}+\\dfrac{N}{15}$~is also an integer, how many such N\\textquotesingle s are there within 100? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1063", "queId": "dc0c9c161143407f918d5ef246f20108", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which answer is \\textbf{NOT} a square number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$49$$ "}], [{"aoVal": "E", "content": "$$100$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"], "answer_analysis": ["N/A. Revise from (GL Assessment book$$2$$《Paper $$4$$》 $$6$$ years Question \\#$$9$$) "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1064", "queId": "9868f707e8594c5091cb0f41663c6fd7", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If two different natural numbers have the same digits but in reverse order, each number is called the palimage of the other. For example, 12 and 21 are palimages of~each other. What is the maximum difference between two-digit palimages？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$18$$ "}], [{"aoVal": "B", "content": "$$36$$ "}], [{"aoVal": "C", "content": "$$54$$ "}], [{"aoVal": "D", "content": "$$72$$ "}], [{"aoVal": "E", "content": "$$90$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1071", "queId": "bc56d67cf6e44df39487bb82ccf9ae4b", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The five-digit number $$25M48$$ is a multiple of $$9$$. What digit does $$M$$ represent? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1072", "queId": "e9c8d530ea2f4287a5e9718f66d85b8d", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "If I switch the digits in the two digit-number which expresses my father\\textquotesingle s age, I will obtain a number that expresses my age. Which of the following numbers can express my father\\textquotesingle s age when I was born? ", "answer_option_list": [[{"aoVal": "A", "content": "$$24$$ "}], [{"aoVal": "B", "content": "$$25$$ "}], [{"aoVal": "C", "content": "$$26$$ "}], [{"aoVal": "D", "content": "$$27$$ "}], [{"aoVal": "E", "content": "$$28$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1073", "queId": "c9ed4e68cfe04841b3f35029e0fd3882", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "All natural numbers from $$1$$ to $$1000$$ were written down. How many times was the digit $$4$$ used? ", "answer_option_list": [[{"aoVal": "A", "content": "$$110$$ "}], [{"aoVal": "B", "content": "$$300$$ "}], [{"aoVal": "C", "content": "$$121$$ "}], [{"aoVal": "D", "content": "$$200$$ "}], [{"aoVal": "E", "content": "$$100$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1075", "queId": "fc2fe8a2b6d94fd3b82f072badfd7656", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A rocket of mass m is launched with kinetic energy K\\textsubscript{0~}from the surface of the Earth. How much less kinetic energy does the rocket have at an altitude of two Earth radii in terms of the gravitational constant, G; the mass of the Earth, m\\textsubscript{E}; the radius of the Earth, R\\textsubscript{E}; and the mass of the rocket? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{GM\\_{E}m}{2R\\_{E}}$ "}], [{"aoVal": "B", "content": "$\\dfrac{2GM\\_{E}m}{3R\\_{E}}$ "}], [{"aoVal": "C", "content": "$\\dfrac{3GM\\_{E}m}{4R\\_{E}}$ "}], [{"aoVal": "D", "content": "$\\dfrac{8GM\\_{E}m}{9R\\_{E}}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1076", "queId": "988750b42c1b46e1abc6fdb79b84f548", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following statements is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ is a factor of $$38$$. "}], [{"aoVal": "B", "content": "$$6$$ is a factor of $$72$$. "}], [{"aoVal": "C", "content": "$$8$$ is a common factor of $$72$$ and $$84$$. "}], [{"aoVal": "D", "content": "$$9$$ is a common factor of $$38$$ and $$72$$. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1077", "queId": "c0ec763321234feeb93ff70da15703fe", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "With how many zeros does the product of the first $$10$$ consecutive prime numbers end? 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If not, what is the remainder? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1204", "queId": "fd6344b7b1974fd3800fa3373d5a7432", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If~no adjacent digits that are identical are written down, then how many digits are required to write down the numbers from $$7$$ to $$86$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$138$$ "}], [{"aoVal": "B", "content": "$$139$$ "}], [{"aoVal": "C", "content": "$$143$$ "}], [{"aoVal": "D", "content": "$$141$$ "}], [{"aoVal": "E", "content": "$$142$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1209", "queId": "fd7ba26553ac48ec8e3201f419341e0d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "o(╥﹏╥)o Teacher Jihan is sick today and he can\\textquotesingle t make it to the office hour. His body temperature is the LCM of $2$ and $19$ ℃. What is his body temperature now? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$29$$ "}], [{"aoVal": "C", "content": "$$38$$ "}], [{"aoVal": "D", "content": "$$76$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1210", "queId": "c261eac5d4f54f059f2badd6cd3de37d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In order to take the OC exam, John spent five weeks practising the OC exercises. In the first week, he practised one set of OC exercises. Since then, he had practised twice as many times each week as the previous week. How many sets of exercises did John practise in total while preparing for the OC exam? ", "answer_option_list": [[{"aoVal": "A", "content": "$$16$$ "}], [{"aoVal": "B", "content": "$$63$$ "}], [{"aoVal": "C", "content": "$$31$$ "}], [{"aoVal": "D", "content": "$$30$$ "}], [{"aoVal": "E", "content": "$$21$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1215", "queId": "dd8dcc04a7594f32b105db9da48c750c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The rabbit pulled out $10$ radishes. If it pulled out $2$ more radishes, the rabbit pulled out twice as many radishes as the gray rabbit. How many radishes did the little grey rabbit pull? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1216", "queId": "cff73126bc924cde932d034c36acae53", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which value does the $$2$$ in $$352107$$ represent? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2000$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$200$$ "}], [{"aoVal": "D", "content": "$$20000$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Expression of Place Value Principle"], "answer_analysis": ["N/A. revise from (GL Assessment book$$1$$《Paper $$2$$》 $$6$$ years Question \\#$$1$$) "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1217", "queId": "fd9251ff0d3549f4922510c9b99502f4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The teacher writes a two-digit number on the whiteboard, then writes the smallest one-digit number to its right, and at last, adds $$11$$ to the number. The teacher gets a sum of $$117$$. ~Which two-digit number did the teacher write at first on the whiteboard? ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$11$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1218", "queId": "cffb695ef30a4367ab5eff5ea85dfa48", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following number is a multiple of $2$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$13$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1221", "queId": "e22f876cee01470fabf6f9d6caa2b7da", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the numbers below is odd regardless of the value of the natural number $$n$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2003n$$ "}], [{"aoVal": "B", "content": "$$n^{3}$$ "}], [{"aoVal": "C", "content": "$$n+2004$$ "}], [{"aoVal": "D", "content": "$$2n^{2}+2003$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Mixed Calculations of Odd and Even Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1224", "queId": "d934f259d4654215ab1d597627ea33e9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Jack is $8$ years old and her mother is $34$ years old. How old is Jack when her mother is $3$ times as old as Xiao Dong? ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1226", "queId": "e6dd7be1a6d841dea949454c7fddab5b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If the four-digit number $$147B$$ is divisible by $$3$$, how many possible values are there for the digit $$B$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1227", "queId": "f49739e20f85487c8f1f05afe5bb2545", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Riley had $$4$$ dollar in her piggy bank on $$1^{st}$$ December $$2022$$, which is a Thursday. She will put $$1$$ into the piggy bank every Monday, Wednesday, Friday and Sunday. On which day would she reach $$$16$$ in her piggy bank? ", "answer_option_list": [[{"aoVal": "A", "content": "Friday "}], [{"aoVal": "B", "content": "Sunday "}], [{"aoVal": "C", "content": "Monday "}], [{"aoVal": "D", "content": "Wednesday "}], [{"aoVal": "E", "content": "Tuesday "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1230", "queId": "eb7eec87e74e4d77847521aa7293a0ce", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Jim and Adam participated in the shooting competition. Jim\\textquotesingle s score was three times that of Adam. Adam was $18$ points less than Jim. How many points did Jim and Adam get together? ", "answer_option_list": [[{"aoVal": "A", "content": "$$27$$ "}], [{"aoVal": "B", "content": "$$28$$ "}], [{"aoVal": "C", "content": "$$32$$ "}], [{"aoVal": "D", "content": "$$35$$ "}], [{"aoVal": "E", "content": "$$36$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1232", "queId": "eb80e5f6a3e544f0850eb0ca650abaae", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Amy wants to set a $4-$digit password, and she uses the following rules: The first digit is the least composite number, and the second digit is both an even number and a prime number. The third digit is the least odd number and the last digit is both an odd number and a composite number. What is her password? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4219$$ "}], [{"aoVal": "B", "content": "$$4239$$ "}], [{"aoVal": "C", "content": "$$4416$$ "}], [{"aoVal": "D", "content": "$$4437$$ "}], [{"aoVal": "E", "content": "$$4426$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1233", "queId": "fde6570b44bf46d49f3bc0c7136b0308", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the following numbers is not divisible by $$99$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$56034$$ "}], [{"aoVal": "B", "content": "$$3861$$ "}], [{"aoVal": "C", "content": "$$9504$$ "}], [{"aoVal": "D", "content": "$$18257$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1235", "queId": "d4e39264abc84ba5948ee25aea3d59b2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In a certain mumber, the first digit is greater than the second digit by $$2$$, and the second digit is greater than the third digit by $$3$$. It is one of the numbers listed below. What number is this? ($$2007$$ Math Kangaroo Problem, Level $$1-2$$, Question \\#$$19$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$53$$ "}], [{"aoVal": "B", "content": "$$530$$ "}], [{"aoVal": "C", "content": "$$233$$ "}], [{"aoVal": "D", "content": "$$521$$ "}], [{"aoVal": "E", "content": "$$431$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"], "answer_analysis": ["N/A.　 "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1236", "queId": "d970b7a8acaf44e1ae766a8427e6883c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$45$$ students in Year $$3$$. One out of nine participated in the debate. How many students did~not participate in the debate? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$35$$ "}], [{"aoVal": "D", "content": "$$40$$ "}], [{"aoVal": "E", "content": "$$42$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1240", "queId": "f03f410b87284b9f83d823625235f6dd", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Lane cut a disc~with a radius of $$12 cm$$ from the middle. What is the circumference of each half disc after cutting?($\\pi=3$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$54 cm$$ "}], [{"aoVal": "B", "content": "$$60 cm$$ "}], [{"aoVal": "C", "content": "$$64 cm$$ "}], [{"aoVal": "D", "content": "$$86 cm$$ "}], [{"aoVal": "E", "content": "$$99 cm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1241", "queId": "e72459b522fc434aad5ae8e06f32e969", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The radius of a circle is $$\\frac{1}{2}$$~the length of the side of the square. How many times the perimeter of a square is the diameter of a circle? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{4}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{2}$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1244", "queId": "ebc614bf45714b25a13176365e4ff74b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Putting these lines~$\\left\\textbar{} \\right\\textbar$ round a number or calculation makes sure the answer is positive; for example both $\\left\\textbar{} 8\\right\\textbar$~and $\\left\\textbar{} -8\\right\\textbar$~ would give the answer $8$.What is the answer to:$\\left\\textbar{} 4-20\\right\\textbar$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1251", "queId": "de3e5b8a042f491dab8e3f905466c58c", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "What is the value of the digit $1$ in the number $6543.2109$. ", "answer_option_list": [[{"aoVal": "A", "content": "t\\emph{e}n "}], [{"aoVal": "B", "content": "one tenth "}], [{"aoVal": "C", "content": "one hundred "}], [{"aoVal": "D", "content": "one hundredth "}], [{"aoVal": "E", "content": "One thousandth "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1256", "queId": "f09ee07d81a74b7a870f0e5a11257979", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these numbers is exactly divisible by $$2$$ and $$8$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$18$$ "}], [{"aoVal": "B", "content": "$$28$$ "}], [{"aoVal": "C", "content": "$$32$$ "}], [{"aoVal": "D", "content": "$$42$$ "}], [{"aoVal": "E", "content": "$$52$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1258", "queId": "f0b3aaa9f30e473f8ecbad4281bb3182", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "\\textbf{If he pressed the remote a total of 9 times throughout the day, was the TV on or off at the end of the day?} ", "answer_option_list": [[{"aoVal": "A", "content": "On "}], [{"aoVal": "B", "content": "Off "}], [{"aoVal": "C", "content": "I dont know "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1260", "queId": "fe8d83d6d94b43639946c1e19ef5d5f3", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Elmo is packing $$107$$ cookies. He wants to put $$5$$ cookies in each plastic bag. How many cookies will not be packed into plastic bags? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1270", "queId": "04e447cf249c47bd84d2ff12f0fc98b0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Fifteen people play a one-on-one knockout tournament. How many games will be played to determine the winner? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ games "}], [{"aoVal": "B", "content": "$$14$$ games "}], [{"aoVal": "C", "content": "$$16$$ games "}], [{"aoVal": "D", "content": "$$49$$ games "}], [{"aoVal": "E", "content": "$$50$$ games "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1271", "queId": "04f06b7d0f6041f2ac69cae585c43acb", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\boxed{1}\\textasciitilde\\textasciitilde\\boxed{2}\\textasciitilde\\textasciitilde\\boxed{3}\\textasciitilde\\textasciitilde\\boxed{4}$$ Jane uses these four number cards to make two 2-digit numbers and works out the sum. $$\\square\\textasciitilde\\textasciitilde\\square+\\square\\textasciitilde\\textasciitilde\\square$$ How many different sums can she get? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1273", "queId": "332aa7bb7f294bdb809e210168d3abf7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Issy tosses a fair coin four times. She gets Heads, Heads, Heads, Tails. If she tosses it afifth time, is she more likely to get Heads or Tails? ", "answer_option_list": [[{"aoVal": "A", "content": "equally likely "}], [{"aoVal": "B", "content": "H\\emph{e}ads "}], [{"aoVal": "C", "content": "T\\emph{a}ils "}], [{"aoVal": "D", "content": "not enough information "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Tossing Coins"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1274", "queId": "0112b71bf6584b12bc3f8fa88f842f5b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The five symbols $$\\bigcirc$$, $$\\triangle$$, $$\\diamond$$, $$\\star$$ and $$\\oplus$$ used in the equations below represent different digits. $$\\bigcirc + \\bigcirc + \\bigcirc = \\triangle$$ $$\\diamond + \\diamond + \\diamond = \\oplus$$ $$\\triangle + \\oplus = \\star$$ What is the value of $$\\star$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["$$N.A$$ "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1284", "queId": "01c84cc88554437f834cf9eb3105b6d1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "6.Pip wants you to help him choose his outfit. A top, a pair of pants and shoes are a must however a hat is optional. How many different choices are there for Pip? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1302", "queId": "12e4c070a6d44b58bc65b45fb13725a0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "String $$A$$ is longer than String $$B$$. String $$C$$ is the same length as String $$B$$. String $$D$$ is longer than String $$A$$. Which is the longest string? ", "answer_option_list": [[{"aoVal": "A", "content": "$$A$$ "}], [{"aoVal": "B", "content": "$$B$$ "}], [{"aoVal": "C", "content": "$$C$$ "}], [{"aoVal": "D", "content": "$$D$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Comparing"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1308", "queId": "0363157f8ee14e9a92210f9b764d7bc9", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many three-digit numbers can you create using the digits $$3$$, $$0$$, and $$7$$, and using each digit only once? ($$1998$$ Math Kangaroo Problems, Level $$3-4$$, Question \\#$$6$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->General Complex Forming Numbers"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1311", "queId": "0e78bd9701f045718429cd7c5a6b993f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$30$$ pupils in my class. $$20$$ pupils like Maths and $$18$$ pupils like English. Twice as many pupils like both subjects as compared to those that like neither of them. How many pupils like only Maths? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1322", "queId": "04855117f5d94ceabe39b096b4ec5bbf", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Kathy started doing her homework at $$09:15$$. She used $$2\\text{h }45\\min $$ to complete her homework. Then she took a nap for $$20$$ minutes before she had her lunch, At what time did she have her lunch ? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$10:20$$ "}], [{"aoVal": "B", "content": "$$11:35$$ "}], [{"aoVal": "C", "content": "$$12:00$$ "}], [{"aoVal": "D", "content": "$$12:20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A． "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1324", "queId": "3352d3e32d7c4e799cc86eeb43ac289d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Consider these two operations: $a\\Psi b=a^{2}-b$ and $a \\nu b=\\sqrt{ab}$. Which of these values are possible answers of $4 \\nu (2 \\Psi 3)^{2}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1335", "queId": "0ad9e95357a84e4e9e856f6d3ca67192", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Issy tosses a fair coin four times. She gets Heads, Heads, Heads, Tails. If she tosses it a fifth time, is she more likely to get Heads or Tails? ", "answer_option_list": [[{"aoVal": "A", "content": "equally likely "}], [{"aoVal": "B", "content": "Heads "}], [{"aoVal": "C", "content": "Tails "}], [{"aoVal": "D", "content": "not enough information "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Tossing Coins"], "answer_analysis": [" "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1339", "queId": "134d2c9cd2a74426abc2a4b19a478e73", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The total of five different, positive odd numbers is $$85$$. What's the most that the largest number could be? ", "answer_option_list": [[{"aoVal": "A", "content": "$$69$$ "}], [{"aoVal": "B", "content": "$$35$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$21$$ "}], [{"aoVal": "E", "content": "$$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1344", "queId": "de46f8ac97ac4f60a5f7eff1705c6dab", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "How many balls does Pip want to take out? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1347", "queId": "07cb2c91bb7f43699be3725d6a9ead6b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$54\\div$$$$=3\\times3$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$18$$ "}], [{"aoVal": "D", "content": "$$27$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Division of Whole Numbers->Division Within the Multiplication Tables", "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1349", "queId": "07f16846ab8b42c3b6e18a571598a8de", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "After shopping for clothes, Andy has 2 shirts and 3 trousers. Can you work out how many combinations of outfits Andy has? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1350", "queId": "07f19ada945e4160bf4e429b2a5b9cf1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Adrian finished doing his homework at $$1$$ p.m. He started doing his homework $$2$$ hours ago. At what time did he start to do his homework? ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ a.m. "}], [{"aoVal": "B", "content": "$$11$$ p.m. "}], [{"aoVal": "C", "content": "$$3$$ a.m. "}], [{"aoVal": "D", "content": "$$3$$ p.m. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1353", "queId": "0807c1a0a54748078889556097ba0c67", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$12 + 8 + 8 + 4 $ is the same as~\\uline{~~~~~~~~~~}~$\\times 4$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1369", "queId": "180a5d11fc854b3d9470b222e50201a7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The Pythagoras School of Music has $$100$$ students. Of these, $$60$$ are in the band and $$20$$ are in the orchestra. Given that $$12$$ students are in both the band and the orchestra, how many are in neither the band nor the orchestra? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$28$$ "}], [{"aoVal": "E", "content": "$$32$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1370", "queId": "08af8cae5c5f42368ca9756a37c4458d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Bud wants to arrange $$4$$ different soft toys side by side in a row. Find the number of ways that she can arrange them. ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$24$$ "}], [{"aoVal": "C", "content": "$$120$$ "}], [{"aoVal": "D", "content": "$$64$$ "}], [{"aoVal": "E", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1374", "queId": "13b20dbd6a9c4b01981e87f4b03f1c66", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The total of four different, positive odd numbers is $$62$$. What's the most that the largest number could be? ", "answer_option_list": [[{"aoVal": "A", "content": "$$45$$ "}], [{"aoVal": "B", "content": "$$47$$ "}], [{"aoVal": "C", "content": "$$49$$ "}], [{"aoVal": "D", "content": "$$51$$ "}], [{"aoVal": "E", "content": "$$53$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$34$$ "}], [{"aoVal": "B", "content": "$$26$$ "}], [{"aoVal": "C", "content": "$$23$$ "}], [{"aoVal": "D", "content": "$$22$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1382", "queId": "13c31647ab2e432a8abd899c7700b6ae", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Carol brought $$6$$ cookies, Gina brought $$7$$ cookies, Sarah brought $$3$$ cookies, and Judy didn\\textquotesingle t bring cookies. They put all the cookies together and divide them equally. How many cookies does each girl get? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1383", "queId": "0f8d33ac28e84373b9087913c9c4b00c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a $7$ as a digit (such as $47$) or is a multiple of $7$ that person leaves the circle and the counting continues. Who is the last one present in the circle? ", "answer_option_list": [[{"aoVal": "A", "content": "Arn "}], [{"aoVal": "B", "content": "Bob "}], [{"aoVal": "C", "content": "Cyd "}], [{"aoVal": "D", "content": "Dan "}], [{"aoVal": "E", "content": "Eve "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1388", "queId": "091fb2f30de741c7ab250385d4204c72", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are 4 types of cakes available in a cake shop: chocolate, cheese, blueberry and blackforest. Naomi wants to buy 2 different types of cakes. How many different choices does she have? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$48$$ "}], [{"aoVal": "B", "content": "$$54$$ "}], [{"aoVal": "C", "content": "$$56$$ "}], [{"aoVal": "D", "content": "$$63$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1398", "queId": "13f806eb51df4a569d03df6fb43a6597", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Kelly is facing the north-east direction. How should she turn so that she faces west? ", "answer_option_list": [[{"aoVal": "A", "content": "$$45^{\\circ}$$ clockwise "}], [{"aoVal": "B", "content": "$$135^{\\circ}$$ clockwise "}], [{"aoVal": "C", "content": "$$135^{\\circ}$$ anti-clockwise "}], [{"aoVal": "D", "content": "$$225^{\\circ}$$ anti- clockwise "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1411", "queId": "2f1d9c541012444e8fb691f63e2cefcb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Four boys each prepared $$1$$ gift for a party. How many ways can these $$4$$ gifts be distributed among the $$4$$ kids so that no one receives his own gift? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1429", "queId": "18c4093499e045b29fa614b84cbc27cb", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Four people each take a bucket of water to the faucet and the time required to fill the buckets of the four people are $$1$$ minutes, $$3$$ minutes, $$2$$ minutes, and $$5$$ minutes respectively. If only one tap is available, how can we arrange the order of the four people getting water so that their total waiting time is the shortest? This minimum total time by all four people is minutes. (The time spent fetching water is also counted within waiting time) ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$21$$ "}], [{"aoVal": "D", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1430", "queId": "5418096c70d04df6bfb4c31b34e0b287", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Alvin scored $$872$$ points. Bala scored two times as many points as Alvin had scored. Chandran scored $$926$$ more points than Bala. How many points did Chandran score? ", "answer_option_list": [[{"aoVal": "A", "content": "$$818$$ "}], [{"aoVal": "B", "content": "$$1362$$ "}], [{"aoVal": "C", "content": "$$1744$$ "}], [{"aoVal": "D", "content": "$$2670$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication", "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Operations of Multiplication and Addition of Whole Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1438", "queId": "0d54b8b84cee4cd8a6280b7c2acbc8aa", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many color of balls are there? 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"}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1483", "queId": "1da7d409877b4575ab6c42d7fe8197b5", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Katie bought a plate of tonkatsu that cost $\\textbackslash$12$. She added on a salad that cost $\\textbackslash$2$. She paid for her meal and had to pay an additional $8\\textbackslash\\%$ GST on the price. How much did she have to pay for her meal? 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What is the missing digit? $$\\begin{matrix}\\& \\&~9~\\&~\\boxed{?}~\\& 4 \\textbackslash\\textbackslash\\& \\times\\& \\& \\&~6 \\textbackslash\\textbackslash{} \\hline~\\&5~\\&~6~\\& 0~\\& 4\\end{matrix}$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1650", "queId": "7512f8022f7c4aabb362824a066a0a7d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is $$2014 + 2 \\times 0 \\times 1 \\times 4$$ equal to? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$40$$ "}], [{"aoVal": "D", "content": "$$60$$ "}], [{"aoVal": "E", "content": "$$120$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations "], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1689", "queId": "311fefe2cf1b420f952ccbee1e2e1106", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The correct information we can get from the statement~\"the chance of raining tomorrow in Boston is $$20\\textbackslash\\%$$\"~is~\\uline{~~~~~~~~~~}~． ", "answer_option_list": [[{"aoVal": "A", "content": "It will rain in $$20\\textbackslash\\%$$ of the regions of Boston tomorrow. "}], [{"aoVal": "B", "content": "It will rain $$20\\textbackslash\\%$$ of the time tomorrow in Boston. "}], [{"aoVal": "C", "content": "The probability of raining in Boston tomorrow is low. "}], [{"aoVal": "D", "content": "It won\\textquotesingle t rain in Boston tomorrow. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1700", "queId": "f5dd05e51062468c99de291f3d55478f", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "We call a number palindromic if it doesn\\textquotesingle t change after its digits are written in reverse order. Some examples of such numbers are $$1331$$ and $$24642$$. A certain car\\textquotesingle s odometer shows $$15951$$ kilometers. After how many more kilometers will a palindromic number show up on the odometer again? (2007 Math Kangaroo Problem, Level 3-4, Question \\#18) ", "answer_option_list": [[{"aoVal": "A", "content": "after $$100$$ km "}], [{"aoVal": "B", "content": "after $$110$$ km "}], [{"aoVal": "C", "content": "after $$710$$ km "}], [{"aoVal": "D", "content": "after $$900$$ km "}], [{"aoVal": "E", "content": "after $$1010$$ km "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering->Forming Multi-Digit Numbers->Symmetric Numbers"], "answer_analysis": ["N/A.　 "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1705", "queId": "35aaf53e8795496a8f7e82f057eb5b1c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Ben lives on the floor just below Chris. Denise lives on the floor just above Alvin. Denise lives on a higher floor than Chris. Who lives on the lowest floor? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\textasciitilde$$Alvin "}], [{"aoVal": "B", "content": "$$\\textasciitilde$$Ben "}], [{"aoVal": "C", "content": "$$\\textasciitilde$$Chris "}], [{"aoVal": "D", "content": "$$\\textasciitilde$$Denise "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1714", "queId": "479950bdc22345c993de2f04706c6d82", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The number of purple cupcakes is $\\frac{32}{56}$ the number of pink cupcakes. There were $49$ pink cupcakes. What is the ratio of the number of pink cupcakes to purple cupcakes? ", "answer_option_list": [[{"aoVal": "A", "content": "$4:7$ "}], [{"aoVal": "B", "content": "$7:4$ "}], [{"aoVal": "C", "content": "$4:11$ "}], [{"aoVal": "D", "content": "$7:11$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1718", "queId": "50b4f3ad5b8d4d9bab5157db6668fef9", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "Femi takes $$2$$ hours and $$53$$ minutes to cycle from London to Reading. If he arrived at~ $$15:21$$, at what time must he have set off? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12:24$$pm "}], [{"aoVal": "B", "content": "$$1:24$$pm "}], [{"aoVal": "C", "content": "$$12:28$$pm "}], [{"aoVal": "D", "content": "$$12:18$$pm "}], [{"aoVal": "E", "content": "$$1:28$$pm "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1730", "queId": "317a6c9b702d4890a48090e0732e3f06", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$3$ plumbers were needed to fix $4$ identical pipes in $2$ days. How many plumbers are needed to fix $6$ identical pipes in a day? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$11.50$$ a.m. "}], [{"aoVal": "B", "content": "$$11.50$$ p.m. "}], [{"aoVal": "C", "content": "$$12.10$$ a.m. "}], [{"aoVal": "D", "content": "$$12.10$$ p.m. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1744", "queId": "abe49d8d3bbe4fe18e3012ac176d3acf", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$25$$ players in a chess tournament. If each game is played by $$2$$ players, and each player plays every other player exactly once, what is the total number of games played in the tournament? 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", "answer_option_list": [[{"aoVal": "A", "content": "$6k+2$ "}], [{"aoVal": "B", "content": "$6k-2$ "}], [{"aoVal": "C", "content": "$2k+2$ "}], [{"aoVal": "D", "content": "$2k-2$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1772", "queId": "5a0b7aa41f244c02a2f55477ede4bc79", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "James has $12$ strawberries that he wants to split into $3$ groups so that each group is not empty and has a different number of strawberries. How many different ways can he do that? 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", "answer_option_list": [[{"aoVal": "A", "content": "$16+8+4=32$ "}], [{"aoVal": "B", "content": "$16-8\\times4=32$ "}], [{"aoVal": "C", "content": "$16+8\\times4=32$ "}], [{"aoVal": "D", "content": "$16\\times8\\div4=32$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1782", "queId": "8bab6e96caa3464391d55dfa79eb386d", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "During a party four friends are going to give each other gifts in such a way that everybody gives one gift and receives one gift (of course, no one should receive a gift from himself or herself). In how many ways can this be accomplished? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication->Matching Objects (with specific requirements)"], "answer_analysis": ["N/A.　 "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1794", "queId": "55ab8704bc3d4ee5986695c426488818", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Adam can travel from City $$A$$ to City $$B$$ by a bus, a train or a plane. To get from City $$B$$ to Town $$C$$, he can hire a taxi, rent a car, a motorcycle or a bicycle. There is no direct transportation from City $$A$$ to Town $$C$$. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$30$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1805", "queId": "4cbee9bd848d46bb84b1d774bca84929", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Barbie purchased $\\textbackslash$52$ worth of mangoes. The mangoes were priced at $\\textbackslash$25$ per$\\textasciitilde kg$. Determine the mass of mangoes purchased. ", "answer_option_list": [[{"aoVal": "A", "content": "$2.8\\textasciitilde kg$ "}], [{"aoVal": "B", "content": "$2\\textasciitilde kg$ $8\\textasciitilde g$ "}], [{"aoVal": "C", "content": "$28\\textasciitilde kg$ "}], [{"aoVal": "D", "content": "$2\\textasciitilde kg$ $80\\textasciitilde g$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1808", "queId": "4cc1e85b70d14fa7a79c7f0cd340ba18", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Determine the height of the triangle. ", "answer_option_list": [[{"aoVal": "A", "content": "$13\\textasciitilde cm$ "}], [{"aoVal": "B", "content": "$23\\textasciitilde cm$ "}], [{"aoVal": "C", "content": "$48\\textasciitilde cm$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1813", "queId": "514e6b385560441cb9ccbb377e4f3d72", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The total of five different, positive odd numbers is $$85$$. What's the most that the largest number could be? ", "answer_option_list": [[{"aoVal": "A", "content": "$$69$$ "}], [{"aoVal": "B", "content": "$$35$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$21$$ "}], [{"aoVal": "E", "content": "$$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1815", "queId": "ac123ebfcd104190a92a004f42aa5a3d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If today is Sunday, tomorrow will be Monday. ", "answer_option_list": [[{"aoVal": "A", "content": "Certain "}], [{"aoVal": "B", "content": "Impossible "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Simple Questions Involving Probability->Possibility"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1817", "queId": "3f77d817163b40958985018ab5876955", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Find the sum below. $$30+40+50+30+40+50+30+40+50$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$120$$ "}], [{"aoVal": "B", "content": "$$240$$ "}], [{"aoVal": "C", "content": "$$360$$ "}], [{"aoVal": "D", "content": "$$400$$ "}], [{"aoVal": "E", "content": "None of the above. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1821", "queId": "6379a085b5204df0bdc3010597414ad6", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$72$ people play a one-on-one knockout tournament. How many games will be played to determine the winner? ", "answer_option_list": [[{"aoVal": "A", "content": "$$24$$ games "}], [{"aoVal": "B", "content": "$$36$$ games "}], [{"aoVal": "C", "content": "$$71$$ games "}], [{"aoVal": "D", "content": "$$72$$ games "}], [{"aoVal": "E", "content": "$$144$$ games "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1828", "queId": "637da09436ba44138bd94c1dee2c7c64", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The desks in a Primary $$3$$ classroom are arranged in straight rows. Each row has the same number of desks. Greggory sits at the desk that is in the fourth row from the front and back. He sits at the centre of his row and there are $$5$$ desks to his left. How many desks are in the classroom? ", "answer_option_list": [[{"aoVal": "A", "content": "$$63$$ "}], [{"aoVal": "B", "content": "$$99$$ "}], [{"aoVal": "C", "content": "$$77$$ "}], [{"aoVal": "D", "content": "$$81$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1832", "queId": "99a68fa11b0742018e666c6abe1082fd", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Any of the signs $$+$$, $$-$$, $$\\times$$, $$\\div$$ and brackets can be filled in the gaps below to make the equality true. Which of the following choices is true? $$8\\textasciitilde\\textasciitilde\\textasciitilde8\\textasciitilde\\textasciitilde\\textasciitilde8\\textasciitilde\\textasciitilde\\textasciitilde8\\textasciitilde\\textasciitilde\\textasciitilde=8$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$8\\times8\\div8+8=8$ "}], [{"aoVal": "B", "content": "$8-8\\times8+8=8$ "}], [{"aoVal": "C", "content": "$8\\times8\\div8+8=8$ "}], [{"aoVal": "D", "content": "$\\left( 8-8\\right)\\times8+8=8$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "1837", "queId": "2e6499d0a41c4bb08d1461fc6df54d32", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Zachary left a birthday party at $$2.05$$ p.m. He was at the party for $$3$$ h $$15$$ min. 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"}], [{"aoVal": "C", "content": "MAD is a measure of center. "}], [{"aoVal": "D", "content": "MAD is a measure of spread. 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Can you tell who runs the fastest? \\textbf{Pip came in third.} \\textbf{Bud was in front of Eddie.} \\textbf{Avril lost to Pip in the race.} ", "answer_option_list": [[{"aoVal": "A", "content": "Bud "}], [{"aoVal": "B", "content": "Avril "}], [{"aoVal": "C", "content": "Eddie "}], [{"aoVal": "D", "content": "Pip "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions"], "answer_analysis": [" "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2050", "queId": "4ec6c539859944e98b76605932f81e58", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many minutes are there in three and a half hours? 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What happens as a result ", "answer_option_list": [[{"aoVal": "A", "content": "there is no longer a market failure "}], [{"aoVal": "B", "content": "too many people get vaccinated but there is no DWL "}], [{"aoVal": "C", "content": "too few people get vaccinated so there is DWL "}], [{"aoVal": "D", "content": "too many people get vaccinated so there is DWL "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2057", "queId": "76fb66fc44b3459f937ddd03481d97b7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many different ways are there of paying exactly £$$1$$ using $$5$$p and/or $$10$$p pieces? 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He started doing his homework at $$11.50 \\rm a.m$$. What time did Marcus complete his homework? ", "answer_option_list": [[{"aoVal": "A", "content": "$$11.20 \\rm a.m$$. "}], [{"aoVal": "B", "content": "$$11.20 \\rm p.m$$. "}], [{"aoVal": "C", "content": "$$12.20 \\rm a.m$$. "}], [{"aoVal": "D", "content": "$$12.20 \\rm p.m$$. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. 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Each student shook hands only once with the other $$9$$ students in the class. How many handshakes were there in total? ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$45$$ "}], [{"aoVal": "C", "content": "$$55$$ "}], [{"aoVal": "D", "content": "$$90$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition->Number of Handshake Problem", "Overseas In-curriculum->Knowledge Point->Fun Problems in Math->Reasoning"], "answer_analysis": ["N/A.　 "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2074", "queId": "7713c119e7304a699392e1c4bcf96f5c", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Toss a fair coin three times. What is the probability of getting one head and two tails? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{2}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{4}$$ "}], [{"aoVal": "C", "content": "$$\\frac{1}{8}$$ "}], [{"aoVal": "D", "content": "$$\\frac{3}{8}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Basic Concepts of Probability"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2075", "queId": "7b9caa24464e4aa687325884f70d0d7e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the missing digit in the box. What is the missing digit? $$\\begin{matrix}\\& \\&~9~\\&~\\boxed{?}~\\& 4 \\textbackslash\\textbackslash\\& \\times\\& \\& \\&~6 \\textbackslash\\textbackslash{} \\hline~\\&5~\\&~6~\\& 0~\\& 4\\end{matrix}$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2085", "queId": "91813aa57d3040f68784ebd380b0a3a0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many whole numbers from $$1$$ to $$201$$ consist of only even digits? ", "answer_option_list": [[{"aoVal": "A", "content": "$$201$$ "}], [{"aoVal": "B", "content": "$$40$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$20$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2087", "queId": "e407fba2534f41eeba2d600689f41c67", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Granny went out to the yard and called all the hens and her cat. All 20 legs ran to her. How many hens does granny have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["$$N.A.$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2094", "queId": "60d25ce080a94ec08a97da67b7ffc39a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "For the number sentence below, what is the answer? $15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$210$$ "}], [{"aoVal": "B", "content": "$$215$$ "}], [{"aoVal": "C", "content": "$$220$$ "}], [{"aoVal": "D", "content": "$$225$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2124", "queId": "610c67586a8c4aa587e5e7489de5341a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Mary\\textquotesingle s violin class started at $$11.15\\textbackslash{} \\text{a .m.}$$ It lasted for $$90$$ minutes. What time did her violin class end? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12.05\\textbackslash{} \\text{a. m.}$$ "}], [{"aoVal": "B", "content": "$$12.05\\textbackslash{} \\text{p. m.}$$ "}], [{"aoVal": "C", "content": "$$12.45\\textbackslash{} \\text{a. m.}$$ "}], [{"aoVal": "D", "content": "$$12.45\\text{ p. m.}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2130", "queId": "6e76b2fa94fc4de2a036b3b7d33d85c3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How would determine $\\angle DKI$ from $\\angle KIJ$ and $\\angle KJI$? ", "answer_option_list": [[{"aoVal": "A", "content": "Vertically opposite angles "}], [{"aoVal": "B", "content": "Exterior angles "}], [{"aoVal": "C", "content": "Alternate angles "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2134", "queId": "807fbf431e474609b2a8fcafe0322e66", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is 2014 + 2 x 0 x 1 x 4 equal to? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2014$$ "}], [{"aoVal": "B", "content": "$$2016$$ "}], [{"aoVal": "C", "content": "$$2021$$ "}], [{"aoVal": "D", "content": "$$2022$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2136", "queId": "9f667e36128341e88e80e7db2624248a", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following expressions is easier to calculate if we do it in order? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15+7-5$$ "}], [{"aoVal": "B", "content": "$$15-5+7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2140", "queId": "e8c2d97026204f038deda523da8d049f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many different three-digit numbers can we make that have three different digits using the digits $$1$$, $$2$$ and $$3$$? ($$2009$$ Math Kangaroo Problem, Level $$1-2$$, Question \\#$$24$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2145", "queId": "65a9a0d18a6d451ebd5ab8d25e33eda7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many of the numbers between $1$ and $150$ are divisible by neither $3$ nor $10$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$50$$ "}], [{"aoVal": "D", "content": "$$60$$ "}], [{"aoVal": "E", "content": "$$90$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2149", "queId": "e8c88fcdb07f477a9559c9390cf7eb7a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Grandmother made $$20$$ gingerbread cakes for her grandchildren. She decorated them with raisins and nuts. First she decorated $$15$$ cakes with raisins and then $$15$$ cakes with nuts. At least how many cakes were decorated with both raisins and nuts?　 ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2150", "queId": "7c0fd1353b784aa08090d6d7b0e259bc", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Issy tosses a fair coin four times. She gets Heads, Heads, Heads, Tails. If she tosses it a fifth time, is she more likely to get Heads or Tails? ", "answer_option_list": [[{"aoVal": "A", "content": "equally likely "}], [{"aoVal": "B", "content": "Heads "}], [{"aoVal": "C", "content": "Tails "}], [{"aoVal": "D", "content": "not enough information "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Tossing Coins"], "answer_analysis": [" "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2154", "queId": "731c9be1a2154e0c8db037474940088c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Ali has enough money to buy only 7 sweets. What is the biggest number of sweets that he can get from the shop? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$11$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2155", "queId": "61519a8de140499ca128eddb7250c855", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Use the digits below to make up the largest possible number without repeating digits. $$3$$, $$9$$, $$1$$, $$5$$ This number is (~ ~~\\uline{)}. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3915$$ "}], [{"aoVal": "B", "content": "$$9153$$ "}], [{"aoVal": "C", "content": "$$9531$$ "}], [{"aoVal": "D", "content": "$$9351$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2156", "queId": "91d73c5a60dc49f4973aba3f3d80d820", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following decimals is the greatest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.3$$ "}], [{"aoVal": "B", "content": "$$0.35$$ "}], [{"aoVal": "C", "content": "$$0.342$$ "}], [{"aoVal": "D", "content": "$$0.345$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Knowing Numbers->Comparing and Ordering->Comparing and Ordering Decimals", "Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2159", "queId": "fb4e2a3520c74850b8053d81547b40c2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The total of six different, positive even numbers is $$96$$. What\\textquotesingle s the most that the largest number could be? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$64$$ "}], [{"aoVal": "B", "content": "$$66$$ "}], [{"aoVal": "C", "content": "$$68$$ "}], [{"aoVal": "D", "content": "$$70$$ "}], [{"aoVal": "E", "content": "$$72$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2161", "queId": "6168ee1f38fb425f92684ebc3065c5c4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Can you use 6 matchsticks to make a square and a triangle? ", "answer_option_list": [[{"aoVal": "A", "content": "Yes "}], [{"aoVal": "B", "content": "No "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2162", "queId": "7330daf047d04fc6aea9144ac08f209b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "By using $$1$$、$$3$$、$$5$$, different two-digit numbers can be formed. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ordered Enumeration"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2164", "queId": "7339a107786d46f1a6f651a45a75dd39", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A party game played with a six---sided dice is fair if the chance of winning is equal to the chance of losing each time the dice is rolled. Which one of these games is fair? ", "answer_option_list": [[{"aoVal": "A", "content": "You win if you roll a 6. "}], [{"aoVal": "B", "content": "You win if you roll a 2 or a 5. "}], [{"aoVal": "C", "content": "You win if you roll a number greater than 4. "}], [{"aoVal": "D", "content": "You win if you roll a number less than 3. "}], [{"aoVal": "E", "content": "You win if you roll an odd number. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2165", "queId": "ad3d0a8ffc6a4ddd9f585bbae5eb725a", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "Linda invents a code which uses letters to represent digits, in which the same letter represents the same digit, and the different letters represent different digits. She uses the word \\textquotesingle$$\\text{MEMBER}$$\\textquotesingle{} to represent a six-digit number which is smaller than $$223114$$. The largest possible number that the word \\textquotesingle$$\\text{MEMBER}$$\\textquotesingle{} can represent is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$212987$$ "}], [{"aoVal": "B", "content": "$$292897$$ "}], [{"aoVal": "C", "content": "$$292876$$ "}], [{"aoVal": "D", "content": "$$212313$$ "}], [{"aoVal": "E", "content": "$$212918$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2166", "queId": "6a57b25c77d541418e8b886c2b5796c6", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Oliver, Cici, and Lucy said three words. Oliver said: \"I am $$22$$ years old now, I am two years younger than Lucy, and I am one year older than Lucy.~\" Cici said: \"I am not the youngest one, Lucy and I are three years apart, and Lucy is $$25$$ years old now.\" Lucy said: \"I am younger than Oliver, Oliver is $$23$$ years old now, and Cici is three years older than Oliver.\" If two out of three sentences of each persion are true. Oliver is~\\uline{~~~~~~~~~~}~years old. ", "answer_option_list": [[{"aoVal": "A", "content": "$$23$$ "}], [{"aoVal": "B", "content": "$$21$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$22$$ "}], [{"aoVal": "E", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning using Hypothesis"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2169", "queId": "cd45059b556140b39427e2d80ffb3947", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "We call a number palindromic if it doesn\\textquotesingle t change after its digits are written in reverse order. Some~ ~ ~ ~examples of such numbers are $$1331$$ and $$24642$$. A certain car\\textquotesingle s odometer shows $$15951$$ kilometers. After how many more kilometers will a palindromic number show up on the odometer again? ", "answer_option_list": [[{"aoVal": "A", "content": "after $$100\\rm km$$ "}], [{"aoVal": "B", "content": "after $$110\\rm km$$ "}], [{"aoVal": "C", "content": "after $$710\\rm km$$ "}], [{"aoVal": "D", "content": "after $$900\\rm km$$ "}], [{"aoVal": "E", "content": "after $$1010\\rm km$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering->Forming Multi-Digit Numbers->Symmetric Numbers"], "answer_analysis": ["N/A.　 "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2172", "queId": "77c361fc7fe14542b8f2957e906e525f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Clair has $$5$$ apples, Alice has $$8$$ apples, Betty has $$2$$ apples. They put all the apples together and divide them equally. How many apples does everyone get? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2175", "queId": "baf6806bb86145bd8971fc37d40e83a2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are twelve rooms in a building. Each room has two windows and one light. Last evening, eighteen windows were lighted. In how many rooms was the light off? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["$$N.A.$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2182", "queId": "8d858b71d4ec46c9b81b8be74a337677", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are $2009$ white balls and $2010$ black balls in the box. There are enough black balls outside the box. Take two balls out of the box at any time, and if they are of the same color, take one black ball and put it back into the box. If they are of different color, put one of the white balls back into the box. After doing this operation $4018$ times, how many balls are left in the box and what color are they? ", "answer_option_list": [[{"aoVal": "A", "content": "$1$, white "}], [{"aoVal": "B", "content": "$2$, white "}], [{"aoVal": "C", "content": "$1$, black "}], [{"aoVal": "D", "content": "$2$, black "}], [{"aoVal": "E", "content": "$3$,white "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2196", "queId": "dfb857b120a14d739ff445fc0fcd1ba4", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Toss a fair coin four times. What is the probability of getting four heads? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{4}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{8}$$ "}], [{"aoVal": "C", "content": "$$\\frac{1}{16}$$ "}], [{"aoVal": "D", "content": "$$\\frac{3}{16}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Basic Concepts of Probability"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2204", "queId": "e45f655b6d7f433a95eec93ecebabfb8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In a cave, there were two horses, one bear and three turtles. Later, five horses, three bears and four turtles joined them. How many animals are in the cave now? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["$$N.A.$$ "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2216", "queId": "a46cc78241d24a888ce2964b13fa6e6e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a 7 as a digit (such as 47) or is a multiple of 7 that person leaves the circle and the counting continues. Who is the last one present in the circle? ", "answer_option_list": [[{"aoVal": "A", "content": "Arn "}], [{"aoVal": "B", "content": "Bob "}], [{"aoVal": "C", "content": "Cyd "}], [{"aoVal": "D", "content": "Dan "}], [{"aoVal": "E", "content": "Eve "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2227", "queId": "e907d54456c84bf8bab9b1889c44ae4a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The sum of five different positive odd numbers is $$85$$. The largest number among them can at most be~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$69$$ "}], [{"aoVal": "B", "content": "$$35$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$21$$ "}], [{"aoVal": "E", "content": "$$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2231", "queId": "e90afe3700e1422cbf766d6928dc1047", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Alice has 3 white, 2 black and 2 grey pieces of paper. She cuts every non-black piece of paper in half. Then she cuts every non-white piece of paper in half. How many pieces of paper will she have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$14$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$17$$ "}], [{"aoVal": "D", "content": "$$18$$ "}], [{"aoVal": "E", "content": "$$19$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["$$N.A.$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2243", "queId": "f2512d999a38475e8e9c1bc29c576dc4", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following expressions is easier to calculate if we do it in order? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9+5+1$$ "}], [{"aoVal": "B", "content": "$$9+1+5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2246", "queId": "e91c16fddb3f4a5d9515378a6fcf9693", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the probability of rolling a fair six-sided die twice and getting a total of $$8$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{12}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{6}$$ "}], [{"aoVal": "C", "content": "$$\\frac{5}{36}$$ "}], [{"aoVal": "D", "content": "$$\\frac{1}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2253", "queId": "e91fc69529ed48039de1ba046dbf17fe", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Which of the following statements about a histogram is false? ", "answer_option_list": [[{"aoVal": "A", "content": "A histogram is a bar graph. "}], [{"aoVal": "B", "content": "A histogram can have an interval where the frequency or count is 0. "}], [{"aoVal": "C", "content": "Given a data set, the histogram we can make from this data set is unique. "}], [{"aoVal": "D", "content": "The sizes of all intervals in a histogram must be the same. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Statistical Graphs"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2260", "queId": "743b3b37f896484aa046ca1b6196f4b8", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A clock is set correctly at $2 \\text{P.M}$. It loses $3$ minutes every hour. What will the clock read when the real-time is $9 \\text{A.M}$. the next day? ", "answer_option_list": [[{"aoVal": "A", "content": "$8 \\text{A.M}$. "}], [{"aoVal": "B", "content": "$8:03 \\text{A.M}$. "}], [{"aoVal": "C", "content": "$9:57 \\text{A.M}$. "}], [{"aoVal": "D", "content": "$10 \\text{A.M}$. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": [" "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2265", "queId": "c008183f698f490192290afb66e20a4a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A bag contains $$20$$ red discs, $$10$$ green discs and $$30$$ blue discs. A disc is chosen at random. Which of these events is the \\textbf{most} likely? ", "answer_option_list": [[{"aoVal": "A", "content": "The chosen disc is red. "}], [{"aoVal": "B", "content": "The chosen disc is blue "}], [{"aoVal": "C", "content": "The chosen disc is not red. "}], [{"aoVal": "D", "content": "The chosen disc is green or blue. "}], [{"aoVal": "E", "content": "The chosen disc is not green. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Basic Concepts of Probability"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2267", "queId": "8e3dad089c4c436c960bbc6940372028", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Jane wrote the word $STUDENTS$ thrice. How many times did she write the letter $S$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2288", "queId": "975e09da967c4aa28709942cf295f0a9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The year 2022 is an $$interesting$$ year because it contains only digits $$2$$ and $$0$$. How many years later will be the next interesting year? ", "answer_option_list": [[{"aoVal": "A", "content": "$$200$$ "}], [{"aoVal": "B", "content": "$$198$$ "}], [{"aoVal": "C", "content": "$$180$$ "}], [{"aoVal": "D", "content": "$$178$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2296", "queId": "a98a072744c343e5b2cada11f1dfb824", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many four-digit numbers are there such that if we add $$2020$$ to each of the numbers, the results are still four-digit numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7020$$ "}], [{"aoVal": "B", "content": "$$6880$$ "}], [{"aoVal": "C", "content": "$$6980$$ "}], [{"aoVal": "D", "content": "$$7880$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2303", "queId": "ffb1d21763f940e8afe1003227ced56e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are 4 types of cakes available in a cake shop: chocolate, cheese, blueberry and blackforest. Naomi wants to buy 2 different types of cakes. How many different choices does she have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2304", "queId": "a51a4860bfdb4d4e8a3b2f8063ddd002", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Ali took a bus from Singapore to Malacca at $$10:45$$pm. The bus ride took $$4\\text{h}40$$$$\\min $$. What time did he reach Malacca? ", "answer_option_list": [[{"aoVal": "A", "content": "$$02:25$$ "}], [{"aoVal": "B", "content": "$$03:25$$ "}], [{"aoVal": "C", "content": "$$14:25$$ "}], [{"aoVal": "D", "content": "$$15:25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2308", "queId": "9c150ceb55e044028f04201e6731e9fb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Susan prepared a plate of cookies for her friends Ashley, Sam, Max and Olivia, Susan tried the first cookie before serving them to her friends. Ashley took 2 cookies and gave 1 to Sam. Max then took 3 cookies, and gave 1 to Olviia and 1 to Susan. If they each ate the cookies they ended up with, who ate the most cookies? ", "answer_option_list": [[{"aoVal": "A", "content": "Susan "}], [{"aoVal": "B", "content": "Ashley "}], [{"aoVal": "C", "content": "Sam "}], [{"aoVal": "D", "content": "Max "}], [{"aoVal": "E", "content": "Olivia "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2312", "queId": "e9636e121af143a1a2771cd7461bf1a2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "I am rolling a die two times. What is the probability that I get a number greater than $$3$$ both times? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac14$$ "}], [{"aoVal": "B", "content": "$$\\frac16$$ "}], [{"aoVal": "C", "content": "$$\\frac18$$ "}], [{"aoVal": "D", "content": "$$\\frac19$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2314", "queId": "d71627a10a0f450ca93c08045d91ab14", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$36$ people play a one-on-one knockout tournament. How many games will be played to determine the winner? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ games "}], [{"aoVal": "B", "content": "$$18$$ games "}], [{"aoVal": "C", "content": "$$35$$ games "}], [{"aoVal": "D", "content": "$$36$$ games "}], [{"aoVal": "E", "content": "$$72$$ games "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2315", "queId": "ae3c65e4739b41189de6fca8a3166c5d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Write $$4\\frac{4}{25}$$ as a decimal. ", "answer_option_list": [[{"aoVal": "A", "content": "$$4.016$$ "}], [{"aoVal": "B", "content": "$$4.04$$ "}], [{"aoVal": "C", "content": "$$4.16$$ "}], [{"aoVal": "D", "content": "$$4.425$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Knowing Numbers->Decimals->Converting Between Fractions and Decimals->Converting Fractions to Decimals", "Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2320", "queId": "8ecd09a53709476f9d2ddc3025fb7eb5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A $$3$$-digit code is needed to open a safe. How many possible codes are there if it is known that only three numbers, $$1$$, $$3$$, and $$5$$, are used in this code, and each of them is used only once? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Applications of Permutations"], "answer_analysis": ["N/A.　 "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2322", "queId": "86c676606a18480bade7290bafcbfc28", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Teacher Jerry is looking at the mid-term report of his class. He wants to find the spread of his students\\textquotesingle{} scores. Which diagram should he use to find out the measure he wants? ", "answer_option_list": [[{"aoVal": "A", "content": "bar chart "}], [{"aoVal": "B", "content": "pie chart "}], [{"aoVal": "C", "content": "line diagram "}], [{"aoVal": "D", "content": "box plot "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2330", "queId": "9366d01eaf21454a80918e423ab52b49", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "How many numbers are there from $$1$$ to $$100$$ are multiples of $$7$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$14$$ "}], [{"aoVal": "C", "content": "$$15$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2341", "queId": "b2f6b1c221b64b30ac9c48521399ebce", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The ratio of Marnie\\textquotesingle s $\\textbackslash$2$-notes to $\\textbackslash$5$-notes was $5:2$. She had a total of $\\textbackslash$160$. How many notes did she have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$40$$ "}], [{"aoVal": "C", "content": "$$56$$ "}], [{"aoVal": "D", "content": "$$64$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2343", "queId": "a9fdb88fe7d343dfaab92e84a1ade1f6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In the number sentence below, what number is the $\\oplus$? $$\\oplus \\times 5 + 4 - \\oplus = 32$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2344", "queId": "ae7ae55f9f5f4e37b914e199aafb6253", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$6\\times6$ =~\\uline{~~~~~~~~~~}~groups of $4$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$36$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2347", "queId": "ce2ced8e7671404dac0d4f985bf06ea5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\boxed{8}\\textasciitilde\\textasciitilde\\boxed{9}\\textasciitilde\\textasciitilde\\boxed{9}\\textasciitilde\\textasciitilde\\boxed{9}\\textasciitilde\\textasciitilde\\boxed{9}\\textasciitilde\\textasciitilde\\boxed{9}$$ Craig uses these six number cards to make two numbers with three digits, for example $$989$$ and $$999$$. How many different versions of this inequality can Craig make? $$\\square\\textasciitilde\\textasciitilde\\square\\textasciitilde\\textasciitilde\\square\\textless{}\\square \\textasciitilde\\textasciitilde\\square\\textasciitilde\\textasciitilde\\square$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2355", "queId": "b78f197280a54578a153a3a233e2e498", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A clock was set correctly at $2:00$ p.m., but it lost three minutes every hour. When the real time is $9:00$ a.m. on the next day, the clock reads ． ", "answer_option_list": [[{"aoVal": "A", "content": "$8:00$ a.m. "}], [{"aoVal": "B", "content": "$8:03$ a.m. "}], [{"aoVal": "C", "content": "$9:57$ a.m. "}], [{"aoVal": "D", "content": "$10:00$ a.m. "}], [{"aoVal": "E", "content": "$9:03$ a.m. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2356", "queId": "a5917b16a0fa45f48e6f8cb2f3f09d30", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The total of six different, positive even numbers is $$96$$. What's the most that the largest number could be? ", "answer_option_list": [[{"aoVal": "A", "content": "$$64$$ "}], [{"aoVal": "B", "content": "$$66$$ "}], [{"aoVal": "C", "content": "$$68$$ "}], [{"aoVal": "D", "content": "$$70$$ "}], [{"aoVal": "E", "content": "$$72$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2358", "queId": "b7989365a9584bcbbe8b15fb89479239", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$45\\bigcirc 9=5$$. What is the missing sign? ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$ "}], [{"aoVal": "B", "content": "$$-$$ "}], [{"aoVal": "C", "content": "$$\\times $$ "}], [{"aoVal": "D", "content": "$$\\div $$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2369", "queId": "93e518473ca040da8c3b780b6ca67fdb", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The total of five different positive odd numbers is $$85$$. What\\textquotesingle s the most that the largest number could be? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$69$$ "}], [{"aoVal": "B", "content": "$$35$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$21$$ "}], [{"aoVal": "E", "content": "$$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2370", "queId": "aa4730934c9347bb802500ad74e0c790", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The correct information we can get from the statement~\"the chance of raining tomorrow in Boston is $\\dfrac{1}{5}$\"~is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "It will rain in $\\dfrac{1}{5}$ of the regions of Boston tomorrow. "}], [{"aoVal": "B", "content": "It will rain~$\\dfrac{1}{5}$ of the time tomorrow in Boston. "}], [{"aoVal": "C", "content": "The probability of raining in Boston tomorrow is low. "}], [{"aoVal": "D", "content": "It won\\textquotesingle t rain in Boston tomorrow. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2371", "queId": "a5cbfb7e7b8b4b8d8e5ef4d47747be4f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Consider these two operations: $a\\Psi b=a^{2}-b$ and $a \\nu b=\\sqrt{ab}$. Which of these values are possible answers of $4 \\nu (2 \\Psi 3)^{2}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2372", "queId": "e52887612f3c44809ed980d4d7902e04", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the number is the third common multiple of $$4$$ and $$8$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$32$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Knowing Numbers->Characteristics of Numbers ->Factors and Multiples->The Common Multiples of two Given Numbers", "Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2376", "queId": "f78da0acf7f045a4a885871390d78077", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "（2021 Selective Question \\#7）Amrita has a bag of 36 marbles. Some are blue, some are red and the rest are yellow. There are 16 blue marbles in the bag. If she takes out a marble without looking, the probability that it is red is $\\dfrac{1}{2}$. How many yellow marbles are in the bag? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2378", "queId": "bc5acb1be8794e9f8f0075ae53f8a38d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are $6$ three-digit numbers which is formed using each of the digits $$1$$, $$2$$ and $$3$$ once only. When all of these $$6$$ three-digit numbers are put in order from smallest to largest, which one is in the fourth position? ", "answer_option_list": [[{"aoVal": "A", "content": "$$321$$ "}], [{"aoVal": "B", "content": "$$132$$ "}], [{"aoVal": "C", "content": "$$312$$ "}], [{"aoVal": "D", "content": "$$213$$ "}], [{"aoVal": "E", "content": "$$231$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2379", "queId": "f793d2ebf8524264834379e2004e1c64", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Zachary left a birthday party at $$2.05$$ p.m. He was at the party for $$3$$ $$\\text{h}$$ $$15$$ $$\\min $$. At what time did he arrive at the party? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$5.20$$ a.m. "}], [{"aoVal": "B", "content": "$$10.50$$ a.m. "}], [{"aoVal": "C", "content": "$$5.20$$ p.m. "}], [{"aoVal": "D", "content": "$$10.50$$ p.m. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2380", "queId": "bc60469c1e0240ad94d1388d8cb42888", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "David takes $$30$$ seconds to climb from the first floor to the third floor. How many seconds will it take him to climb from the third floor to the sixth floor? ", "answer_option_list": [[{"aoVal": "A", "content": "$$30$$ seconds "}], [{"aoVal": "B", "content": "$$35$$ seconds "}], [{"aoVal": "C", "content": "$$40$$ seconds "}], [{"aoVal": "D", "content": "$$45$$ seconds "}], [{"aoVal": "E", "content": "$$50$$ seconds "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2384", "queId": "aa6fb75ef7ef406a873887a4cb4a3366", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$3$$ red balls, $$5$$ blue balls and $$2$$ yellow balls of the same size in an opaque bag. Amy takes one randomly from the bag. The probability of choosing a red ball is~\\uline{~~~~~~~~~~}~. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$\\textasciitilde$$Alvin "}], [{"aoVal": "B", "content": "$$\\textasciitilde$$Ben "}], [{"aoVal": "C", "content": "$$\\textasciitilde$$Chris "}], [{"aoVal": "D", "content": "$$\\textasciitilde$$Denise "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2518", "queId": "d8e99418ad18467d91d8320aff82186a", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Sort the following names: Tom, Bob, Alice, Liz in alphabetical order. The correct format is . 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", "answer_option_list": [[{"aoVal": "A", "content": "East "}], [{"aoVal": "B", "content": "West "}], [{"aoVal": "C", "content": "South "}], [{"aoVal": "D", "content": "North "}], [{"aoVal": "E", "content": "Southeast "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Counting Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2529", "queId": "d90d2f85cf9140209f54681bcb69d236", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What should 19:20 be written for the 12-hour clock time? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$5616$$ "}], [{"aoVal": "B", "content": "$$5673$$ "}], [{"aoVal": "C", "content": "$$5733$$ "}], [{"aoVal": "D", "content": "$$6093$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2593", "queId": "09570c4ff8f640deb23f2b51020bdbb8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Suppose that a firm in perfect competition is producing 6 tons of wheat with an average variable cost of $\\textbackslash$50$/ton, an average total cost of $\\textbackslash$70$/ton, and selling the wheat for a price of $\\textbackslash$60$/ton. Will it make a positive or negative profit? Should this firm shut down? ", "answer_option_list": [[{"aoVal": "A", "content": "positive profit, don't shut down "}], [{"aoVal": "B", "content": "positive profit, shut down "}], [{"aoVal": "C", "content": "negative profit, don't shut down "}], [{"aoVal": "D", "content": "negative profit, shut down "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2597", "queId": "00b534ada53d44c3add1a0fe4a50faf7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers is the smallest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.8$$ "}], [{"aoVal": "B", "content": "$1\\div2$ "}], [{"aoVal": "C", "content": "$\\dfrac{5}{6}$ "}], [{"aoVal": "D", "content": "$\\dfrac{3}{12}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2602", "queId": "0976b75866694e1c98a46899d901a4c5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\begin{cases}x=3+2y \\textbackslash\\textbackslash{} 3x+5y=64 \\textbackslash\\textbackslash\\end{cases}$$, find the value of $y$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$13$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2609", "queId": "00e0b969db4d43d983368c535d4c3b02", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$6$ can be made in $2$ different ways: $1\\times6$ or $2\\times3$. In how many different ways is it possible to make $24$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2612", "queId": "051066809cb347fcb9b693abd322eb6b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Every half hour, one bacteria divides into two bacterias. After $$2$$ hours, there are bacterias. ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$32$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2616", "queId": "0983e062230049fdae5f2d0ea9b473f9", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the $$3$$ equivalent fractions of the given fraction. $\\dfrac{75}{100}$ ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{4}{5}$ "}], [{"aoVal": "B", "content": "$\\dfrac{3}{4}$ "}], [{"aoVal": "C", "content": "$\\dfrac{2}{3}$ "}], [{"aoVal": "D", "content": "$\\dfrac{1}{4}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2617", "queId": "2e8465a28c6148098e7581bfce6affa1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Paul draws a plan of his school using a scale of $$2\\text{cm}$$ to $$5\\text{m}$$. On the plan, the school hall is $$6\\text{cm}$$ long. What is the real length of the hall? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15\\text{m}$$ "}], [{"aoVal": "B", "content": "$$6\\text{m}$$ "}], [{"aoVal": "C", "content": "$$18\\text{m}$$ "}], [{"aoVal": "D", "content": "$$9\\text{m}$$ "}], [{"aoVal": "E", "content": "$$12\\text{m}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2620", "queId": "010ff0c4681f4e61a2327ee0bd48d458", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Ten balls are put into a bag. On each ball is a number from $1$ to $10$. The $1^{st}$~ball has the number $1$ on it. The $2^{nd}$~ball has the number $2$ on it, and so on\\ldots{} $3$ balls are taken out and numbers on them are added up together. We can know that $5$ was included in the numbers were taken, and the result can be divieded by $3$ and $4$. Which of the following numbers was definitly not taken out? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2623", "queId": "1bef81a359974c06b19d00aaa8b5c7de", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\frac{30}{8}=3\\frac{\\square{ }}{4}$$ The missing number in the box is． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2626", "queId": "052e6b57f7c44970aaed795c6e16a130", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the following number pattern? $$3296$$, $$3316$$, $$3216$$, $$3236$$, $$3136$$,~\\uline{~~~~~~~~~~}~$$3056$$, $$3076$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$3016$$ "}], [{"aoVal": "B", "content": "$$3036$$ "}], [{"aoVal": "C", "content": "$$3156$$ "}], [{"aoVal": "D", "content": "$$3236$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2630", "queId": "253c9f6662dc4eb389c15549da9061a9", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Two sets of numbers are given. The second set of numbers is obtained by doing something to the first set. $\\left\\textbackslash{ 1,2,3,4,5\\right\\textbackslash}\\textbackslash{} \\Rightarrow\\left\\textbackslash{ 2,5,10,?,26\\right\\textbackslash}$ What is the missing number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$17$$ "}], [{"aoVal": "C", "content": "$$21$$ "}], [{"aoVal": "D", "content": "$$37$$ "}], [{"aoVal": "E", "content": "$$50$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns->Looking For Patterns"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2631", "queId": "3c7a11e078d344aa81b0e5895e9b99d9", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A school district claims that the average teacher in the district earns $\\textbackslash$$48,000 per year. The teachers\\textquotesingle{} organization argues that the average salary is less. A random sample of 25 teachers yields a mean salary of $\\textbackslash$$47,500 with a sample standard deviation of $\\textbackslash$$2,000. Assuming that the distribution of all teachers\\textquotesingle{} salaries is approximately normally distributed, what is the value of the t-test statistic and the P-value for a test of the hypothesis H\\textsubscript{0}:~$\\mu$~= 48,000 against H\\textsubscript{a}: $\\mu$ \\textless{} 48,000? (Remember, df= 25 - 1 = 24.) ", "answer_option_list": [[{"aoVal": "A", "content": "t=1.25, 0.10\\textless P\\textless0.15 "}], [{"aoVal": "B", "content": "t=-1.25, 0.20\\textless P\\textless0.30 "}], [{"aoVal": "C", "content": "t=1.25, 0.20\\textless P\\textless0.30 "}], [{"aoVal": "D", "content": "t=-1.25, 0.10\\textless P\\textless0.15 "}], [{"aoVal": "E", "content": "t=-1.25, P\\textgreater0.25 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2635", "queId": "0166a566e6ab43ffa634d9ac3b746bec", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "What is the value of~$\\dfrac{1}{3}\\cdot\\dfrac{2}{4}\\cdot\\dfrac{3}{5}\\cdot\\cdot\\cdot\\dfrac{18}{20}\\cdot\\dfrac{19}{21}\\cdot\\dfrac{20}{22}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{1}{462}$ "}], [{"aoVal": "B", "content": "$\\dfrac{1}{231}$ "}], [{"aoVal": "C", "content": "$\\dfrac{1}{132}$ "}], [{"aoVal": "D", "content": "$\\dfrac{2}{213}$ "}], [{"aoVal": "E", "content": "$\\dfrac{1}{22}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2636", "queId": "016e91adc460458c941c40249b1941c0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the following number pattern? $7146$, $7142$~\\uline{~ ~ ~?~ ~ ~}~, $7136$, $7134$, $7130$, $7128$, $7124$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$7132$$ "}], [{"aoVal": "B", "content": "$$7134$$ "}], [{"aoVal": "C", "content": "$$7138$$ "}], [{"aoVal": "D", "content": "$$7140$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2639", "queId": "054c741e554e4a7899f9afa894b026d2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A number consists of $5$ ten thousands, $6$ thousands, $1$ tens and $3$ ones. What number is it? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5613$$ "}], [{"aoVal": "B", "content": "$$56013$$ "}], [{"aoVal": "C", "content": "$$50613$$ "}], [{"aoVal": "D", "content": "$$05613$$ "}], [{"aoVal": "E", "content": "$$56031$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2645", "queId": "0e225a489cc14a4ba34f499c359a61ce", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is true of an economy\\textquotesingle s production possibilities curve? ", "answer_option_list": [[{"aoVal": "A", "content": "It shows the combinations of any two resources that can be used to produce an efficient level of output. "}], [{"aoVal": "B", "content": "It shows the alternative combinations of goods that can be produced by fully employing scarce resources. "}], [{"aoVal": "C", "content": "It must be a straight line when all resources are fully employed. "}], [{"aoVal": "D", "content": "It is bowed in (convex to the origin) because of changing levels of technology. "}], [{"aoVal": "E", "content": "It is bowed out (concave to the origin) when marginal opportunity costs are constant. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2649", "queId": "29e50e3c513c44a6ac9f3cce3e6f4337", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Express $$\\frac{62}{5}$$ as a mixed number in its simplest form. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2\\frac{2}{5}$$ "}], [{"aoVal": "B", "content": "$$5\\frac{2}{12}$$ "}], [{"aoVal": "C", "content": "$$12\\frac{2}{5}$$ "}], [{"aoVal": "D", "content": "$$60\\frac{2}{5}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2652", "queId": "055be075b54d4d7ca45abffd58ad3694", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the box? $$\\boxed{~ ~ ?~ ~ ~}-2852=2569$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$283$$ "}], [{"aoVal": "B", "content": "$$4321$$ "}], [{"aoVal": "C", "content": "$$4311$$ "}], [{"aoVal": "D", "content": "$$5421$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2659", "queId": "057034f137cd49fc9e0e010718924834", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Suppose that on a hypothesis test for a single population mean, $H\\_{a}:\\textbackslash{} \\mu\\textbackslash{} \\lt\\textbackslash{} 10$. Assume that $H\\_{a}$~is true. For a fixed sample size and significance level $\\alpha$, the power of the test will be greatest if the actual mean is which of the following? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$11$$ "}], [{"aoVal": "E", "content": "$$13$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2660", "queId": "61a7a0b23a55455381f758881d1979d6", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "To calculate the area of a rectangle with a length of $$7$$ and a breadth of $$5$$, we can use $$7\\times 5$$. Therefore, the formula of a rectangle can be summarised as:． ", "answer_option_list": [[{"aoVal": "A", "content": "Area of rectangle $$=$$ breadth $$\\times $$ breadth "}], [{"aoVal": "B", "content": "Area of rectangle $$=$$ length $$\\times $$ length "}], [{"aoVal": "C", "content": "Area of rectangle $$=$$ length $$\\times $$ breadth "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2665", "queId": "0576dcef74974dadb41c8cac19eea356", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following is the simplest form of~$\\dfrac{3}{12}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{1}{4}$ "}], [{"aoVal": "B", "content": "$\\dfrac{3}{12}$ "}], [{"aoVal": "C", "content": "$\\dfrac{6}{24}$ "}], [{"aoVal": "D", "content": "$\\dfrac{1}{10}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2672", "queId": "0202e05a6b15404da9ba862b714faeb5", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "When the price of bananas increases by 20\\%, the quantity demanded of apples increases by 30\\%. What is the value of the cross-price elasticity of demand? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$-1.5$$ "}], [{"aoVal": "C", "content": "2/3 "}], [{"aoVal": "D", "content": "$$1.5$$ "}], [{"aoVal": "E", "content": "-2/3 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2676", "queId": "09cb0be97bcd4a59b407dd9ec6e7e0fd", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is true if consuming one unit of a good yields 100 utils and consuming the second unit of the good increases satisfaction by 20 utils? ", "answer_option_list": [[{"aoVal": "A", "content": "The marginal utility of the first unit is 20. "}], [{"aoVal": "B", "content": "The marginal utility of the second unit is 20. "}], [{"aoVal": "C", "content": "The marginal utility of the second unit is 120. "}], [{"aoVal": "D", "content": "The total utility of consuming two units is 120. "}], [{"aoVal": "E", "content": "The total utility of consuming one unit is greater than the total utility of consuming two units. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2677", "queId": "022ed12834d34b2e956d454bc45887d2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many tens are there in 3710 ? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$710$$ "}], [{"aoVal": "D", "content": "$$371$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2678", "queId": "0237cc06cd6b4e5d8b9b0350bb154c5a", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "\\textbf{Use Punnett squares to answer questions 8, 9 and 10. In guinea pigs, coat texture is determined by a complete dominance gene: rough coats are dominant to smooth coats.} Two guinea pigs heterozygous for coat texture have offspring. What is the percent of their offspring expected to have smooth coats? ", "answer_option_list": [[{"aoVal": "A", "content": "0\\% "}], [{"aoVal": "B", "content": "25\\% "}], [{"aoVal": "C", "content": "50\\% "}], [{"aoVal": "D", "content": "75\\% "}], [{"aoVal": "E", "content": "100\\% "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2682", "queId": "254bb26a7c0044a68ebe7e3defa4d338", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The price of a good increases by 20\\% and as a result, the quantity demanded decreases by 10\\%. What is the price elasticity of demand for this good? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.5$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$1.5$$ "}], [{"aoVal": "D", "content": "$$2$$ "}], [{"aoVal": "E", "content": "$$2.5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2694", "queId": "12d42d76b7cc4585a6448a04516a4d4c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which fraction is \\textbf{NOT~}equivalent to $\\frac{1}{2}$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$4$ "}], [{"aoVal": "B", "content": "$4x-4$ "}], [{"aoVal": "C", "content": "$$4a+\\frac{4a}{2b}$$ "}], [{"aoVal": "D", "content": "$4x+\\frac{4y+8}{8}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2721", "queId": "0333ebce8f674df393f02977769f1758", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$x^{3}=216$. What is $x$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$0.4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2725", "queId": "8f49d846792042a397d36c9960cf83ea", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$5+5+5+5+5=6\\times $$$$\\square $$ What is the missing number in the box?（ ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$30$$ "}], [{"aoVal": "D", "content": "$$36$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": ["N/A. 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"], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2735", "queId": "06422405eb0441588b4eb120a0cb0289", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "To investigate whether the consumption of beetroot juice enhances exercise performance, a researcher selected a random sample of 50 student athletes from all the student athletes at a college. The athletes in the sample were randomly assigned to one of two groups. In one group, 25 athletes were given a daily dose of beetroot juice, and in the other group, the remaining athletes were given a daily dose of a placebo. At the end of six weeks of exercise training, the resear her compared the performances of the two groups. Based on the design of the investigation, which of the following is the largest population to which the results can be generalized? 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Statement A: $$7+(0\\times2)=7$$ Statement B: $$7+(0\\div2)=7$$ Statement C: $$7+(2\\times0)=7$$ ", "answer_option_list": [[{"aoVal": "A", "content": "All the three statements are correct. "}], [{"aoVal": "B", "content": "Only Statement $$A$$ and $$B$$ are correct. "}], [{"aoVal": "C", "content": "Only Statement $$A$$ and $$C$$ are correct. "}], [{"aoVal": "D", "content": "Only Statement $$B$$ and $$C$$ are correct. "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2743", "queId": "744606f405c2425c8cabf0aa0dc3efdc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In a square, all sides are~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "Different "}], [{"aoVal": "B", "content": "the same "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Pyramid Sequences"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2744", "queId": "823b385426ba4af398cc653086a0ba9e", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "What is the similarity among these numbers? $64$~ ~$100$~ ~$81$~ ~$9$~ ~$144$~ ~$16$~ ~$25$ ", "answer_option_list": [[{"aoVal": "A", "content": "They are all even numbers. "}], [{"aoVal": "B", "content": "All of them can be written as $n^{2}$ ($n$ is a whole number). "}], [{"aoVal": "C", "content": "There is no similarity. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2745", "queId": "20bc60b70c9f48ef89f1006e0f3828fa", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A packet of biscuits costs $$x$$ pence. I buy $$4$$ packets. Which expression shows how much change in pence I will get from £$$8$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8-4x$$ "}], [{"aoVal": "B", "content": "$$800-4x$$ "}], [{"aoVal": "C", "content": "$$4x-8$$ "}], [{"aoVal": "D", "content": "$$800-40x$$ "}], [{"aoVal": "E", "content": "$$4x-800$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2748", "queId": "03b48eeb52d645f888e26a63b42b4797", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Mrs Scan reads $32$ pages of her book every day. The book has $16$ chapters. There are $36$ pages in each chapter. How long will it take Mrs Scan to finish the book? ", "answer_option_list": [[{"aoVal": "A", "content": "$$18$$ days "}], [{"aoVal": "B", "content": "$$14$$ days "}], [{"aoVal": "C", "content": "$$16$$ days "}], [{"aoVal": "D", "content": "$$20$$ days "}], [{"aoVal": "E", "content": "$$12$$ days "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2750", "queId": "0e77237972844093a84ecb30a95080b8", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Laura bought a whole carton of milk. Peter drank~$\\dfrac{2}{3}$~of it and his sister, Mary, drank~$\\dfrac{4}{9}$~of it. How much less of the carton of milk did Mary drink than Peter? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac29$ "}], [{"aoVal": "B", "content": "$\\frac13$ "}], [{"aoVal": "C", "content": "$\\frac23$ "}], [{"aoVal": "D", "content": "$\\frac49$ "}], [{"aoVal": "E", "content": "$\\frac59$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2751", "queId": "0a2e40c91062478eaafab3e874d725df", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "May and Megan wanted to buy some fruits. May bought $6$ apples, $8$ pears and $13$ plums. Megan bought $9$ apples, $2$ pears and $11$ plums. How many more pieces of fruits did May buy than Megan? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2753", "queId": "0e7a8512282c42d38f74e3dac333530e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In a certain school, 17 percent of the students are enrolled in a psychology course, 28 percent are enrolled in a foreign language course, and 32 percent are enrolled in either a psychology course or a foreign language course or both. What is the probability that a student chosen at random from this school will be enrolled in both a foreign language course and a psychology course? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.45$$ "}], [{"aoVal": "B", "content": "$$0.32$$ "}], [{"aoVal": "C", "content": "$$0.20$$ "}], [{"aoVal": "D", "content": "$$0.13$$ "}], [{"aoVal": "E", "content": "$$0.05$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2761", "queId": "256421ccad71435fba777c16c2169395", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers is closest to zero? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.00011$$ "}], [{"aoVal": "B", "content": "$$0.0002$$ "}], [{"aoVal": "C", "content": "$$0.001$$ "}], [{"aoVal": "D", "content": "$$1.00001$$ "}], [{"aoVal": "E", "content": "$$1.0$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2768", "queId": "06a3376698a64ebf98b246a3ae1c5d55", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the following has the same value as $$\\frac{6}{7}\\div 4$$?　 ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{3}{14}$$ "}], [{"aoVal": "B", "content": "$$\\frac{7}{24}$$ "}], [{"aoVal": "C", "content": "$$3 \\frac{3}{7}$$ "}], [{"aoVal": "D", "content": "$$4 \\frac{2}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2770", "queId": "2a060dd1cca64523a178d4c26bc8d9b5", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "When the following numbers are put in order of size, which comes in the middle? $0.75, 79\\textbackslash\\%, \\frac79, 0.7, \\frac57$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.75$$ "}], [{"aoVal": "B", "content": "$79\\textbackslash\\%$ "}], [{"aoVal": "C", "content": "$\\frac79$ "}], [{"aoVal": "D", "content": "$0.7$ "}], [{"aoVal": "E", "content": "$\\frac57$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2772", "queId": "045172a36bb042288f7b3ae2f2af8dcc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Ms. Tucker travels through two intersections with traffic lights as she drives to the market. The traffic lights operate independently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be red and the second light will \\uline{not} be red is 0.33. What is the probability that the second light will be red when she reaches it? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.40$$ "}], [{"aoVal": "B", "content": "$$0.45$$ "}], [{"aoVal": "C", "content": "$$0.50$$ "}], [{"aoVal": "D", "content": "$$0.55$$ "}], [{"aoVal": "E", "content": "$$0.60$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2774", "queId": "17910cc3355b4e358e3c2684d67dab1f", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the followings is an arithmetic sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$, $$5$$, $$9$$, $$14\\cdots~ $$ "}], [{"aoVal": "B", "content": "$$5$$, $$9$$, $$13$$, $$18\\cdots$$ "}], [{"aoVal": "C", "content": "$$1$$, $$2$$, $$1$$, $$2\\cdots$$ "}], [{"aoVal": "D", "content": "$$0$$, $$0$$, $$0$$, $$0\\cdots$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2776", "queId": "0a57cf7dd3864c40a9b71fc23526b631", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$831+58=$$ ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$773$$ "}], [{"aoVal": "B", "content": "$$827$$ "}], [{"aoVal": "C", "content": "$$888$$ "}], [{"aoVal": "D", "content": "$$889$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2778", "queId": "2a08e5f39ba64b4893bf133185de12a9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A fair six-sided die, with sides numbered 1-6, is rolled five times in a row. On each roll, the result was a 3. What is the probability of rolling a 3 on the next roll? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{1}{6}$ "}], [{"aoVal": "B", "content": "$\\dfrac{1}{12}$ "}], [{"aoVal": "C", "content": "$\\left( \\dfrac{1}{6}\\right)^{5\\textbackslash{} }\\left( \\dfrac{5}{6}\\right)$ "}], [{"aoVal": "D", "content": "$\\left( \\dfrac{6}{1}\\right)\\left( \\dfrac{1}{6}\\right)^{5}\\left( \\dfrac{5}{6}\\right)$ "}], [{"aoVal": "E", "content": "$$1$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2779", "queId": "047513d4f6cd429c8c1273e8807f692d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "One day Randy was bored and he wrote all the whole numbers from 49 to 97 on his paper. How many times did he write the digit\"8\" on his paper? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$11$$ "}], [{"aoVal": "D", "content": "$$13$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2780", "queId": "c711368c735e429c819bb767b89a2b1c", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "A football weighs $450\\rm g$ and an empty box weighs $1.5\\rm kg$. After some identical footballs are placed inside a box, the box weighs $12.3\\rm kg$. How many footballs are there in the box? ", "answer_option_list": [[{"aoVal": "A", "content": "$$18$$ "}], [{"aoVal": "B", "content": "$$22$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$28$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2783", "queId": "049f6c2a0e7f476191bbd3ebba58d934", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these expressions equals $2009$? ", "answer_option_list": [[{"aoVal": "A", "content": "$5^{2}\\times80$ "}], [{"aoVal": "B", "content": "$6^{2}\\times56$ "}], [{"aoVal": "C", "content": "$7^{2}\\times41$ "}], [{"aoVal": "D", "content": "$8^{2}\\times31$ "}], [{"aoVal": "E", "content": "$9^{2}\\times29$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2784", "queId": "0a69890820cf45e38d197c9d3263a3e3", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which is the best estimate for $\\frac{0.521\\times59.34}{5.89}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.05$$ "}], [{"aoVal": "B", "content": "$$0.5$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$50$$ "}], [{"aoVal": "E", "content": "$$500$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2785", "queId": "4a81e06f112e4ef79a44a761c3998d71", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which fraction is equivalent to $$\\frac{28}{35}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac75$$ "}], [{"aoVal": "B", "content": "$$\\frac{5}{7}$$ "}], [{"aoVal": "C", "content": "$$\\frac4{7}$$ "}], [{"aoVal": "D", "content": "$$\\frac{4}{5}$$ "}], [{"aoVal": "E", "content": "$$\\frac17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"], "answer_analysis": ["N/A． "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2792", "queId": "744af73eda7a4b7a9215281b484bae9c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Express $$1\\frac{17}{25}$$ as a decimal. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1.725$$ "}], [{"aoVal": "B", "content": "$$1.68$$ "}], [{"aoVal": "C", "content": "$$1.25$$ "}], [{"aoVal": "D", "content": "$$1.17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2794", "queId": "06f433ca8a964eae992ab279fea7e1c8", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$$16+4\\times 8=$$ What should we do first? ", "answer_option_list": [[{"aoVal": "A", "content": "x "}], [{"aoVal": "B", "content": "$$+$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2795", "queId": "b47c4c4d19324886a5eeb25ae55566fe", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Evaluate this expression $$5(6x + 7y-8z)$$． $$x = 9$$ $$y = 3$$ $$z = 6$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$95$$ "}], [{"aoVal": "B", "content": "$$120$$ "}], [{"aoVal": "C", "content": "$$135$$ "}], [{"aoVal": "D", "content": "$$180$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Substituting the Values into the Expressions"], "answer_analysis": ["N/A. 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"], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2803", "queId": "070c299ab0494c75b6147194ceb1c3ed", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "To the number $$209$$ we add $$212$$. Then we multiply the result by $$29$$ and then we add $$208$$. Then the final result will be same as the result of the computation:． ", "answer_option_list": [[{"aoVal": "A", "content": "$$209+212\\times 29+208$$ "}], [{"aoVal": "B", "content": "$$(209+212\\times 29)+208$$ "}], [{"aoVal": "C", "content": "$$(209+212)\\times 29+208$$ "}], [{"aoVal": "D", "content": "$$(209+212)\\times (29+\\textasciitilde208)$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2804", "queId": "1c3ba71f91a646ef853ccff9a9098c0b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$17-$~\\uline{~~~~~~~~~~}~$=11$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2812", "queId": "072a482494054d83981c83a7f7d97d07", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A book has $$80$$ pages. On day 1, Danny read $$15\\textbackslash\\%$$ of the book. On day 2, he read $$25\\textbackslash\\%$$ of the book. How many pages are left to read? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$32$$ "}], [{"aoVal": "C", "content": "$$48$$ "}], [{"aoVal": "D", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2816", "queId": "072eb91a2402482bba835376526a123c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following equations is correct? 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", "answer_option_list": [[{"aoVal": "A", "content": "\\[50\\] "}], [{"aoVal": "B", "content": "\\[60\\] "}], [{"aoVal": "C", "content": "\\[180\\] "}], [{"aoVal": "D", "content": "\\[200\\] "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2818", "queId": "20dbbdf7f2ad4235a45c77636ff08437", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The harmonic mean of a set of non-zero numbers is the reciprocal of the average of the reciprocals of the numbers. What is the harmonic mean of $1$, $2$, and $4$? 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When they pass through each other, Ron has driven $500$ metres. What is the ratio of the speeds of Ron to Steven? ", "answer_option_list": [[{"aoVal": "A", "content": "$3:1$ "}], [{"aoVal": "B", "content": "$1:3$ "}], [{"aoVal": "C", "content": "$2:3$ "}], [{"aoVal": "D", "content": "$3:2$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2839", "queId": "07923e259b0e4029be103225b260fd8e", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is the value of the following sum? $$119+215+317+418+514+613+716+811+912$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4420$$ "}], [{"aoVal": "B", "content": "$$4590$$ "}], [{"aoVal": "C", "content": "$$4635$$ "}], [{"aoVal": "D", "content": "$$4640$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2840", "queId": "0ee1f27cf9844c1591783d20b7c0f411", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Is -1 a rational number? ", "answer_option_list": [[{"aoVal": "A", "content": "Yes "}], [{"aoVal": "B", "content": "No "}], [{"aoVal": "C", "content": "Not sure "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2847", "queId": "0ee6cc8d6379461faad8c8d4c6862a3b", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Study the number pattern below. $$4$$, $$8$$, $$12$$,~\\uline{~~~~~~~~~~}~, $$20$$, $$24$$, $$28$$ What is the missing number in the pattern? ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$14$$ "}], [{"aoVal": "C", "content": "$$15$$ "}], [{"aoVal": "D", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2850", "queId": "13498a68ac2a4d0283059be91647d9fb", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$4-(-2)=$$?~ ~$$(-2)\\times3=$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$, $$-6$$ "}], [{"aoVal": "B", "content": "$$-6$$, $$6$$ "}], [{"aoVal": "C", "content": "$$6$$, $$6$$ "}], [{"aoVal": "D", "content": "$$-6$$, $$-6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2855", "queId": "33680c0d96ea4184913367902feb7fc8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The length of a sheet of paper is $10$ inches. What is this length in centimeters ? ", "answer_option_list": [[{"aoVal": "A", "content": "$25.4$ "}], [{"aoVal": "B", "content": "$2.54$ "}], [{"aoVal": "C", "content": "$2.5$ "}], [{"aoVal": "D", "content": "$25$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2861", "queId": "17cc6fa8e1ca4db89441d34679900193", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the following number pattern? $$3296$$, $$3316$$, $$3216$$, $$3236$$, $$3136$$,~\\uline{~~~~~~~~~~}~$$3056$$, $$3076$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$3016$$ "}], [{"aoVal": "B", "content": "$$3036$$ "}], [{"aoVal": "C", "content": "$$3156$$ "}], [{"aoVal": "D", "content": "$$3236$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2865", "queId": "74533d1bf98347b498852900e1f4e802", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Geena had $$8y$$ paper clips. She used $$4$$ paper clips and gave the rest to her friends, Megan and Bryan. Megan received twice as many paper clips as Bryan. Find the number of paper clips Bryan received in terms of $$y$$.． ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{8y-4}{2}$$ "}], [{"aoVal": "B", "content": "$$\\frac{8y-4}{3}$$ "}], [{"aoVal": "C", "content": "$$\\frac{16y-8}{2}$$ "}], [{"aoVal": "D", "content": "$$\\frac{16y-8}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2869", "queId": "4a93860b279242f7b3e01b6f902a7425", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Debbie is interested in determining if music helps people study. To do this, she uses the help of 40 students in her psychology class. She randomly assigns half the people to study with music in the background for an hour, and the other half study with no music for an hour. The students then take a test on that material. In this example, what is the independent variable? ", "answer_option_list": [[{"aoVal": "A", "content": "Music versus no music "}], [{"aoVal": "B", "content": "Group that studies with no music "}], [{"aoVal": "C", "content": "Group that studies with music "}], [{"aoVal": "D", "content": "~Scores on the exam "}], [{"aoVal": "E", "content": "Students in the class "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2872", "queId": "17d798c5e8ec4853a9a8a33e0763fa3e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Let $$a\\square b=ab+a+b$$ for any real numbers $$a$$, $$b$$. The solution of the equation $$3\\square 5=2\\square x$$ is:． ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Unknowns Using the Given Operations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2873", "queId": "41502e7da50b4896905c79e42abab81a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Put these numbers in order from the smallest to the biggest. $$0.525\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde{} 0.7\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde0.35\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde0.175$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.7$$, $$0.525$$, $$0.35$$, $$0.175$$ "}], [{"aoVal": "B", "content": "$$0.175$$, $$0.525$$, $$0.35$$, $$0.7$$ "}], [{"aoVal": "C", "content": "$$0.175$$, $$0.35$$, $$0.525$$, $$0.7$$ "}], [{"aoVal": "D", "content": "$$0.7$$, $$0.35$$, $$0.175$$, $$0.525$$ "}], [{"aoVal": "E", "content": "$$0.175$$, $$0.35$$, $$0.7$$, $$0.525$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2878", "queId": "0b0f2545376544b3aacfe716e0fc7854", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are 70 teachers in an elementary school. The male to female ratio of this school can\\textquotesingle t be~~\\uline{~~~~~~~~~~}~.（⭐⭐） ", "answer_option_list": [[{"aoVal": "A", "content": "1：2 "}], [{"aoVal": "B", "content": "2：3 "}], [{"aoVal": "C", "content": "3：4 "}], [{"aoVal": "D", "content": "1：6 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2880", "queId": "0f0b88cdf55a44d7b15250001b7d3c5b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are two options with $$\\triangle $$ and $$\\bigcirc $$. $$\\bigcirc +8=13 $$ $$\\triangle \\times \\bigcirc =15 $$. What number does the $$\\triangle$$ represent? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2882", "queId": "17dca099a759426b82dcf85c4eb7cbf5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "To the number $$209$$ we add $$212$$. Then we multiply the result by $$29$$ and then we add $$208$$. Then the final result will be same as the result of the computation:． ", "answer_option_list": [[{"aoVal": "A", "content": "$$209+212\\times 29+208$$ "}], [{"aoVal": "B", "content": "$$(209+212\\times 29)+208$$ "}], [{"aoVal": "C", "content": "$$(209+212)\\times 29+208$$ "}], [{"aoVal": "D", "content": "$$(209+212)\\times (29+\\textasciitilde208)$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2883", "queId": "0b114c6f01784436ac5229492553a8d6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The reciprocal of $\\frac{1}{1456^{(-3)}}$ is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$1456^{(-3)}$ "}], [{"aoVal": "B", "content": "$1456^{3}$ "}], [{"aoVal": "C", "content": "$-1456^{(-3)}$ "}], [{"aoVal": "D", "content": "$-1456^{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2892", "queId": "08194a647ad8497880c1896ea35f4910", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If we remove the percentage sign in $$31.4\\textbackslash\\%$$, then the result will be． ", "answer_option_list": [[{"aoVal": "A", "content": "$$100$$ times the origional "}], [{"aoVal": "B", "content": "$$\\frac{1}{100}$$ of the original "}], [{"aoVal": "C", "content": "the same "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2898", "queId": "0f26bfebc0af43afa2ba7fa11f65307e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "At a launch angle of 45°, the range of a launched projectile is given by ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{v\\_{i}^{2}}{g}$ "}], [{"aoVal": "B", "content": "$\\dfrac{2v\\_{i}^{2}}{g}$ "}], [{"aoVal": "C", "content": "$\\dfrac{v\\_{i}^{2}}{2g}$ "}], [{"aoVal": "D", "content": "$\\sqrt{\\dfrac{v\\_{i}^{2}}{2g}}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2899", "queId": "2ed8b50874b244d6933b9796da0abc28", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the product of $$628$$ and $$6$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3628$$ "}], [{"aoVal": "B", "content": "$$3668$$ "}], [{"aoVal": "C", "content": "$$3728$$ "}], [{"aoVal": "D", "content": "$$3768$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas", "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication of Whole Numbers->Multiplication of Multi-Digit Numbers and 1-Digit Numbers->Multiplication of 3-Digit and 1-Digit (with regrouping for more than once)"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2901", "queId": "0836dccddeb94193b7eb10cd10e0fda0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$30 \\div 2 \\textgreater{}x^{2}$$ Which of these numbers is the largest number $$x$$ could be? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities->Solving Inequalities"], "answer_analysis": ["N/A. revise from (GL Assessment book$$2$$《Paper $$6$$》 $$6$$ years Question \\#$$15$$) "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2911", "queId": "f0dfc2ce374c444bb233941d026bf189", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "Function $$f$$ is defined for the set of all natural number as follows: $$f(n)=\\begin{cases}n+5, \\text{when } n \\text{ is odd}\\textbackslash\\textbackslash{} \\dfrac{n}{2}, \\text{when } n \\text{ is even}\\end{cases}$$, What is the sum of the digits of the odd number $$k$$ if $$f(f(f(k)))=35$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operations with New Definition in Flow Charts"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2919", "queId": "1c85135406504137ba858f4b637f7bb0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is equivalent to the expression $\\frac{a^{-2}b^{3}}{ab^{-1}}$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{a^{3}}{b^{4}}$ "}], [{"aoVal": "B", "content": "$\\frac{b^{4}}{a^{3}}$ "}], [{"aoVal": "C", "content": "$a^{-1}b^{2}$ "}], [{"aoVal": "D", "content": "$\\frac{1}{a^{2}b^{3}}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2920", "queId": "138ea07e94a44c249864f6cac8e9e7ae", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$6, 10, 18, 30, 46\\dots$What number comes next in the sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$66$$ "}], [{"aoVal": "B", "content": "$$54$$ "}], [{"aoVal": "C", "content": "$$64$$ "}], [{"aoVal": "D", "content": "$$68$$ "}], [{"aoVal": "E", "content": "$$72$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2923", "queId": "0b672e4181e9453e8504e0a84e8ad136", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Martha prepares cupcakes with $3$ eggs each. A package of eggs has $18$ eggs. How many cupcakes can she prepare from two and a half packages of eggs? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2925", "queId": "1c87f507f77243c98240ddfd2f255716", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these numbers is closest in value to $$1$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1.1$$ "}], [{"aoVal": "B", "content": "$$0.98$$ "}], [{"aoVal": "C", "content": "$$0.9$$ "}], [{"aoVal": "D", "content": "$$1.09$$ "}], [{"aoVal": "E", "content": "$$1.9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2930", "queId": "b92726add93242c6b7e6166749c55b36", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Find the next term of the following sequence: 1, 1, 2,~ 3, 5, $\\cdots $ ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2934", "queId": "0890551cbdd540bdb64d52eba67dfc67", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Bud practises her violin for $25$ minutes every day. For how long does she practise each week? ", "answer_option_list": [[{"aoVal": "A", "content": "$1$h$55$min "}], [{"aoVal": "B", "content": "$2$h$55$min "}], [{"aoVal": "C", "content": "$1$h$35$min "}], [{"aoVal": "D", "content": "$2$h$45$min "}], [{"aoVal": "E", "content": "$3$h$05$min "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2935", "queId": "0f5040abfcac41fcb99bdb374c90a0b9", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$$4$$+$$17$$ is the same as~\\uline{~~~~~~~~~~}~+$$6$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$14$$ "}], [{"aoVal": "B", "content": "$$13$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2936", "queId": "0b7edf1807a844d6a2426d3ece1264a1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Every half hour, one bacterium divides into two bacterias. In the very beginning, there is only 1 bacterium. After $$2$$ hours, there are bacteria. ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$32$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2937", "queId": "0b80108b0d874e00a60a3d3ce5f28224", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A computerized sewing machine has four independent parts: mechanical, circuit board, touch screen, and power control. The probability that each wil fail within the first year is 0.01, 0.02, 0.001, and 0.03, respectively. If one of them fails then the machine does not work. What is the approximate probability that the machine is still working at the end of the first year? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.930$$ "}], [{"aoVal": "B", "content": "$$0.939$$ "}], [{"aoVal": "C", "content": "$$0.940$$ "}], [{"aoVal": "D", "content": "$$0.960$$ "}], [{"aoVal": "E", "content": "greater than 99\\% "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2940", "queId": "ab44cbd88dda495b8b15103d72aca9c3", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$4$$ number patterns as shown below. In a number pattern, the digit in the ones place increases by $$1$$. Tick the correct box that shows the number pattern. ", "answer_option_list": [[{"aoVal": "A", "content": "$$47$$, $$57$$, $$67$$, $$77$$ "}], [{"aoVal": "B", "content": "$$57$$, $$56$$, $$55$$, $$54$$ "}], [{"aoVal": "C", "content": "$$92$$, $$93$$, $$94$$, $$95$$ "}], [{"aoVal": "D", "content": "$$68$$, $$70$$, $$72$$, $$74$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2942", "queId": "0b881b52dde84d16b04e387c6c9ba33b", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "If Marlon, there were $$30$$ days last month, $$12$$ of which were sunny. What is the percent of the days NOT sunny? ", "answer_option_list": [[{"aoVal": "A", "content": "$$36\\textbackslash\\%$$ "}], [{"aoVal": "B", "content": "$$40\\textbackslash\\%$$ "}], [{"aoVal": "C", "content": "$$60\\textbackslash\\%$$ "}], [{"aoVal": "D", "content": "$$64\\textbackslash\\%$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2943", "queId": "08b1c7e256e54739b325a924850da969", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The numbers $2$, $3$, $4$, $5$, $7$, $13$ and $14$ are divided into $$3$$ groups of one or more numbers. The sum of the numbers in each group is the same. Which number must be in the group with the number $5$? ", "answer_option_list": [[{"aoVal": "A", "content": "Only $$7$$ "}], [{"aoVal": "B", "content": "Only $$3$$ "}], [{"aoVal": "C", "content": "Only $$4$$ "}], [{"aoVal": "D", "content": "$$7$$ and $$3$$ "}], [{"aoVal": "E", "content": "$$7$$ and $$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2945", "queId": "13a1e5f808a441a7915ab57b7c6509ab", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$5+5+5+5=$$~\\uline{~~~~~~~~~~}~$$\\times 5$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$15$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2949", "queId": "4f46062c14ba48d1b8e79bbefa84b7b7", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In an ice-cream shop there was some money in a drawer. After selling 6 ice cream cones, there are 70 dollars in the drawer. After selling a total of 16 ice cream cones, there are 120 dollars in the drawer. How many dollars were there in the drawer at the start? (2021 Math Kangaroo Problem, Level 3-4, Question \\#13) ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$40$$ "}], [{"aoVal": "D", "content": "$$50$$ "}], [{"aoVal": "E", "content": "$$60$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2951", "queId": "ab452d943b7d406aa26ccc16ae1015aa", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Choose the smallest number. ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2953", "queId": "1812c4c9a90240d198b311e3dbb0e6d7", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What number is forty times greater than $1.5$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$41.5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$15.5$$ "}], [{"aoVal": "D", "content": "$$60$$ "}], [{"aoVal": "E", "content": "$$45$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2955", "queId": "13a8d30473fc422a8255ea1574a5cdfa", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In a class of $$40$$ pupils, there are $$10$$ more boys than girls. What is the ratio of the number of girls to the number of boys? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5:3$$ "}], [{"aoVal": "B", "content": "$$3:1$$ "}], [{"aoVal": "C", "content": "$$1:3$$ "}], [{"aoVal": "D", "content": "$$3:5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2956", "queId": "6b183dd82e4e472a9d4d7317f4a947c8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate: $3\\times100=$~\\uline{~~~~~~~~~~}~$\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde$$1000\\times7=$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$300$; $700$ "}], [{"aoVal": "B", "content": "$3000$; $7000$ "}], [{"aoVal": "C", "content": "$300$; $7000$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2965", "queId": "13b688e810674752a358b322ba5ff0e2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The $5$-digit number $\\overline {2023A}$ is divisible by $9$. What is the remainder when this number is divided by $5$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2968", "queId": "08eb2909d87848e287695703f7a9290d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Round off $$61805$$ to the nearest thousand. ", "answer_option_list": [[{"aoVal": "A", "content": "$$60000$$ "}], [{"aoVal": "B", "content": "$$61000$$ "}], [{"aoVal": "C", "content": "$$61800$$ "}], [{"aoVal": "D", "content": "$$62000$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2972", "queId": "18228ed13f2e4a44b7817687f294a33c", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$126\\div x=14$ What is the value of $x$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$19$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2973", "queId": "212f240b03b64a8ba00996e4d0487782", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is another way of writing $a + a + a + a$ ? ", "answer_option_list": [[{"aoVal": "A", "content": "$a^{\\^{4}}$ "}], [{"aoVal": "B", "content": "$$4a$$ "}], [{"aoVal": "C", "content": "$$a4$$ "}], [{"aoVal": "D", "content": "$$aaaa$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2980", "queId": "416bed0d0fa24bbeb63b803dadd4f91a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "MIke has $2$ shirts, $5$ pens, $4$ pairs of trousers, $2$ coats, $5$ apples, $3$ hammers and $1$ bottle. How many pieces of clothes does Mike have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$22$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2982", "queId": "cbc19603635543679384bb8f85deec03", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Find the equation of the line using the following information: slope=$-32$, $y$-intercept=$56$. ", "answer_option_list": [[{"aoVal": "A", "content": "$y=32x-56$ "}], [{"aoVal": "B", "content": "$y=56+32x$ "}], [{"aoVal": "C", "content": "$y=56x+32$ "}], [{"aoVal": "D", "content": "$y=-32x+56$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2985", "queId": "0bc75aeeab414bcc8783b72b7e738177", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is the next number in the pattern below? $$4, 8, 8, 7, 12, 6, 16, 5, $$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$32$$ "}], [{"aoVal": "B", "content": "$$21$$ "}], [{"aoVal": "C", "content": "$$20$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2986", "queId": "588bdcebc6ab4a01a227d1bd83f65127", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What does the digit $$9$$ in $$7.69$$ stand for? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ tens "}], [{"aoVal": "B", "content": "$$9$$ ones "}], [{"aoVal": "C", "content": "$$9$$ tenths "}], [{"aoVal": "D", "content": "$$9$$ hundredths "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2987", "queId": "3cccef421ae1468682868f5f683b3f16", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate in a vertical form: $$36\\times14=$$~\\uline{~~~~~~~~~~}~． ", "answer_option_list": [[{"aoVal": "A", "content": "$$54$$ "}], [{"aoVal": "B", "content": "$$504$$ "}], [{"aoVal": "C", "content": "$$444$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Vertical Form"], "answer_analysis": [" "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2988", "queId": "6b1c00cdf8254cfd8918afa3daeb4d0b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What fraction is half-way between $$2$$ and $$2.5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac92$$ "}], [{"aoVal": "B", "content": "$$\\frac94$$ "}], [{"aoVal": "C", "content": "$$\\frac52$$ "}], [{"aoVal": "D", "content": "$$\\frac34$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Mixed Four Operations of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2989", "queId": "588c1c680b3d4b2cb4d5c8bd3ad4e703", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "If BOB is $19$ and JANE is $30$, who is $10$ less than LIZ? ", "answer_option_list": [[{"aoVal": "A", "content": "$$ $$AMY$$ $$ "}], [{"aoVal": "B", "content": "$$ $$KATE$$ $$ "}], [{"aoVal": "C", "content": "$$ $$JIM$$ $$ "}], [{"aoVal": "D", "content": "$$ $$JOE$$ $$ "}], [{"aoVal": "E", "content": "$$ $$SAM$$ $$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2990", "queId": "091362cfd3904a88af7777ee4603f9b4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Marko has 9 pieces of candy and Tomo has 17 pieces of candy. How many pieces of candy does Tomo need to give to Marko so that each boy has the same number of pieces of candy? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities->Solving Inequalities"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2992", "queId": "0917a1900dd641439d41ec4897b13ca9", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which fraction is greater than $$\\frac{2}{3}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{5}{6}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{2}$$ "}], [{"aoVal": "C", "content": "$$\\frac{4}{9}$$ "}], [{"aoVal": "D", "content": "$$\\frac{5}{12}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions", "Overseas In-curriculum->Knowledge Point->Knowing Numbers->Comparing and Ordering->Comparing and Ordering Fractions"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "2998", "queId": "092eccb0abae4e36bc3b4631ce466c05", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Kevin writes a sequence starts with the number $-2$ and goes up by $8$ For example, $-2, 6, 14\\dots$ What is the first number that Kevin arrives at that is greater than $100$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$108$$ "}], [{"aoVal": "B", "content": "$$112$$ "}], [{"aoVal": "C", "content": "$$106$$ "}], [{"aoVal": "D", "content": "$$102$$ "}], [{"aoVal": "E", "content": "$$104$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3001", "queId": "1cb36fd2409e4b1ba6e6342c405d91a1", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which Law is used in the following calculation: $$2.76+10+3.75=10+(2.76+3.75)$$? ", "answer_option_list": [[{"aoVal": "A", "content": "The Commutative Law of Addition "}], [{"aoVal": "B", "content": "The Associative Law of Addition "}], [{"aoVal": "C", "content": "Both "}], [{"aoVal": "D", "content": "None "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3005", "queId": "4f515108ca864dd7a57dc260e5df7b40", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Two college roommates have each committed to donating to charity each week for the next year. The roommates\\textquotesingle{} weekly incomes are independent of each other. Suppose the amount donated in a week by one roommate is approximately normal with mean $\\textbackslash$$30 and standard deviation $\\textbackslash$$10, and the amount donated in a week by the other roommate is approximately normal with mean $\\textbackslash$$60 and standard deviation $\\textbackslash$$20. Which of the following is closest to the expected number of weeks in a 52-week year that their combined donation will exceed $\\textbackslash$$120? ", "answer_option_list": [[{"aoVal": "A", "content": "0; the combined donation never exceeds $\\textbackslash$$120 in a week "}], [{"aoVal": "B", "content": "1 week "}], [{"aoVal": "C", "content": "3 weeks "}], [{"aoVal": "D", "content": "5 weeks "}], [{"aoVal": "E", "content": "8 weeks "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3015", "queId": "2a67a9c528b041f68924e1f7be9fe435", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these is the smallest? 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At his current level of consumption, Garcia\\textquotesingle s marginal utility for sodas is 5 utils and his marginal utility for hot dogs is 10 utils. 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"], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3044", "queId": "33ad6c05060d4f87a7ca8179a0841433", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Paul draws a plan of his school using a scale of $$2\\text{cm}$$ to $$5\\text{m}$$. On the plan, the school hall is $$6\\text{cm}$$ long. What is the real length of the hall? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15\\text{m}$$ "}], [{"aoVal": "B", "content": "$$18\\text{m}$$ "}], [{"aoVal": "C", "content": "$$9\\text{m}$$ "}], [{"aoVal": "D", "content": "$$12\\text{m}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$6$ "}], [{"aoVal": "B", "content": "$24$ "}], [{"aoVal": "C", "content": "$48$ "}], [{"aoVal": "D", "content": "$72$ "}], [{"aoVal": "E", "content": "$96$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3079", "queId": "0c915fd3d02f4c969fabcd4aa3393111", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A 99\\% confidence interval for the weights of a random sample of high school wrestlers is reported as (125, 160). Which of the following statements about this interval is true? ", "answer_option_list": [[{"aoVal": "A", "content": "At least 99\\% of the weights of high school wrestlers are in the interval (125, 160). "}], [{"aoVal": "B", "content": "The probability is 0.99 that the true mean weight of high school wrestlers is in the interval (125, 190). "}], [{"aoVal": "C", "content": "99\\% of all samples of this size will yield a confidence interval of (125,160). "}], [{"aoVal": "D", "content": "The procedure used to generate this confidence interval will capture the true mean weight of high school wrestlers 99\\% of the time. "}], [{"aoVal": "E", "content": "The probability is 0.99 that a randomly selected wrestler will weigh between 125 and 160 lb. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3080", "queId": "2602c5eba3b94788b335a921422e9c67", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "We've compared two sets of data in a correlational study and have found a correlation coefficient of +.83. We can legitimately conclude that there's what kind of relationship between our measures? 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Let X represent the number of games that have been won out of 100 games. Under which of the following situations would X be a binomial random variable? ", "answer_option_list": [[{"aoVal": "A", "content": "All games were played be the same player, whose skill improved over the course of the 100 games. "}], [{"aoVal": "B", "content": "A group of 5 players of different skill levels were each allowed to play 20 games in a row. "}], [{"aoVal": "C", "content": "A group of players of different skill levels were each allowed to play until they had lost 3 games and this resulted in 100 games played. "}], [{"aoVal": "D", "content": "Two players of equal skill level each played one game a day for 50 days and their skill level did not change from day to day. "}], [{"aoVal": "E", "content": "Two players of different skill levels competed by allowing one player to continue until a game was lost, then the other player to continue until a game was lost, and so on, until 100games were played. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3083", "queId": "1888a24fea334db0978f7813eeb72b37", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "After we simplify $$2+2-2+2-2+2-2+2-2+2$$ the resut will be :． ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction"], "answer_analysis": ["N/A. 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He is going to buy $4$ cupcakes which cost $80$ cents each and a certain number of~ candies which cost $40$ cents each. How many basketballs at most can he buy? 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The interest rate of US banks is $2.5 \\textbackslash\\%$. How much money do you need to deposit into the bank to cover your annual cost? 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Every time she has $$1$$ yellow flowers, she turns it into $$2$$ red flowers. Now she has $2$ red flowers and $1$ yellow flowers. What is the smallest number of flowers she can end up with if she cast spells three times? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3324", "queId": "6b67c30999b94f3abf1f8f06d18af270", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$2$ rabbits weigh as much as $3$ chikens, and $1$ rabbit weighs as much as $6$ ducks. How many ducks weigh the same as one chiken? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3330", "queId": "1997077d46994a0f824e289f6464706d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "For the following numbers: $$-\\frac{1}{3}$$, $$0.12$$, $$-2$$, $$2$$, $$\\frac{3}{4}$$, $$-1\\frac{1}{2}$$, how many positive rational numbers are there? 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(2000 Math Kangaroo Problem, Level 3-4, Question \\#2) ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$40$$ "}], [{"aoVal": "D", "content": "$$50$$ "}], [{"aoVal": "E", "content": "$$60$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"], "answer_analysis": ["N/A. 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Find the missing number. $$\\left[10, 50, 15 \\right]\\textasciitilde\\textasciitilde\\left[37, 120, 23 \\right]\\textasciitilde\\textasciitilde\\left[16, 56, ?\\right]$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Filling Sequences according to the Patterns"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3368", "queId": "2fc2c2b637a6400d91678ec4415e35b9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The pages of a book are numbered 1, 2, 3, 4, 5, and so on. The digit 5 appears exactly 16 times. 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", "answer_option_list": [[{"aoVal": "A", "content": "$x\\geq60$ "}], [{"aoVal": "B", "content": "$10\\textgreater-10$ "}], [{"aoVal": "C", "content": "$x\\textless x-10$ "}], [{"aoVal": "D", "content": "$3x\\textgreater3x$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3409", "queId": "26dfb273f32f43b1bed7a77e9b6e2371", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these equals $1$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1^{2}+1^{2}$$ "}], [{"aoVal": "B", "content": "$$1^{2}-1^{2}$$ "}], [{"aoVal": "C", "content": "$$2^{2}-1^{2}$$ "}], [{"aoVal": "D", "content": "$$3^{2}-2^{2}$$ "}], [{"aoVal": "E", "content": "$$2^{2}\\div2^{2}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3412", "queId": "15dd8efcbc674dec92efa83bfc430710", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Given that $$(21\\times55) + 20=1175$$, one of the following is incorrect. 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", "answer_option_list": [[{"aoVal": "A", "content": "27 cm\\textsuperscript{2} "}], [{"aoVal": "B", "content": "81 cm\\textsuperscript{2} "}], [{"aoVal": "C", "content": "162 cm\\textsuperscript{2} "}], [{"aoVal": "D", "content": "243 cm\\textsuperscript{2} "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Area"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3424", "queId": "de708d94e67b42c79062ad16251f678a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A number is formed by $9$ millions, $7$ ten thousands, $5$ thousands, $8$ tens, $2$ hundreds and $3$ ones. What number is it? ", "answer_option_list": [[{"aoVal": "A", "content": "$$975823$$ "}], [{"aoVal": "B", "content": "$$9075823$$ "}], [{"aoVal": "C", "content": "$$987532$$ "}], [{"aoVal": "D", "content": "$$9075283$$ "}], [{"aoVal": "E", "content": "$$9705283$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3426", "queId": "124f1cf77be740e5b821ccb7149db9f7", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The manager of a public swimming pool wants to compare the effectiveness of two laundry detergents, Detergent A and Detergent B, in cleaning the towels that are used daily. As each dirty towel is turned in, it is placed into the only washing machine on the premises. When the washing machine contains 20 towels, the manager flips a coin to determine whether Detergent A or Detergent B will be used for that load. The cleanliness of the load of towels is rated on a scale of 1 to 10 by a person who does not know which detergent was used. The manager continues this experiment for many days. Which of the following best describes the manager's study? 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In monopolistic competition, which of thefollowing most accurately describes the long-runequilibrium conditions for a firm? 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The Moon, whose center is~$3.84\\times10^{8}m$~from the Earth\\textquotesingle s center, has mass~$7.35\\times10^{22}kg$. Which of the following is the best estimate of the gravitational force of the Earth on the Moon? ", "answer_option_list": [[{"aoVal": "A", "content": "$10^{39}N$ "}], [{"aoVal": "B", "content": "$10^{29}N$ "}], [{"aoVal": "C", "content": "$10^{19}N$ "}], [{"aoVal": "D", "content": "$10^{9}N$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3432", "queId": "3d813a7a87d149b1806f7d358d64776e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$25+26+27+\\dots+97+98+100=$~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$5050$$ "}], [{"aoVal": "B", "content": "$$4750$$ "}], [{"aoVal": "C", "content": "$$5350$$ "}], [{"aoVal": "D", "content": "$$300$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3434", "queId": "26f3248ffcf04934b9a881d7a9cc3206", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "It took Jimmy $1$ hour and $40$ minutes to do his homework. His sister, Jemima, took three times as long. How long did she take? 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Which could be the area of the rectangle? （The length and width are both whole numbers） ", "answer_option_list": [[{"aoVal": "A", "content": "$12\\text{cm}^{2}$ "}], [{"aoVal": "B", "content": "$56\\text{cm}^{2}$ "}], [{"aoVal": "C", "content": "$108\\text{cm}^{2}$ "}], [{"aoVal": "D", "content": "$120\\text{cm}^{2}$ "}], [{"aoVal": "E", "content": "$16\\text{cm}^{2}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3443", "queId": "e7ba657096a344d8bc0650c8c504de13", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "[PhysicsBowl question revised] A car and a truck are both traveling with a constant speed of 30 m/s. The car is 20 m behind the truck. 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How many suits can we make?~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3554", "queId": "46d4d781debb4e28bf1239f227611107", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Judy writes a series of numbers: $3, 6, 9, 12, 15, \\cdots 27.$ Lily follows the pattern and writes the next number after Judy. What number will Lily write? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3578", "queId": "4b6fdc7acb264fadaf1c13184d0bb6f9", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "$$4$$ sevens $$=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$28$$ "}], [{"aoVal": "C", "content": "$$35$$ "}], [{"aoVal": "D", "content": "$$47$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3581", "queId": "f1104acd7d5349718499fe0d55a76deb", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Martin exercises for $35$ minutes every day. For how long does Martin exercise every week? ", "answer_option_list": [[{"aoVal": "A", "content": "$2\\rm h35\\rm min$ "}], [{"aoVal": "B", "content": "$3\\rm h45\\rm min$ "}], [{"aoVal": "C", "content": "$4\\rm h5\\rm min$ "}], [{"aoVal": "D", "content": "$4\\rm h15\\rm min$ "}], [{"aoVal": "E", "content": "$1\\rm h55\\rm min$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3582", "queId": "4253df24acc24fdc822fbbbef7fae0a9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Luna asks her grandmother how old she is, and her grandmother replies: \"if you multiply your age by 5 and then add by 7, then you would be my age.\" Luna is 12 years old. Which of the following is an equation that correctly represents Luna\\textquotesingle s grandmother\\textquotesingle s age? 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Do these samples provide convincing evidence of a change in the proportion of adults who thought the country was headed in the right direction? ", "answer_option_list": [[{"aoVal": "A", "content": "No, because the 95\\% confidence interval for the difference contains 3\\%. "}], [{"aoVal": "B", "content": "No, because the 95\\% confdence interval for the difference contains 0\\%. "}], [{"aoVal": "C", "content": "No, because the 95\\% confidence interval for the difference does not contain 0\\%. "}], [{"aoVal": "D", "content": "Yes, because the 95\\% confdence interval for the difference does not contain 3\\%. "}], [{"aoVal": "E", "content": "Yes, because the 95\\% confdence interval for the difference contains 3\\%. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3637", "queId": "a24ec7e0228742dab3fcf54cc47ab1df", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which three integers lie between $-2$ and its opposite on a number line? 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"], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3910", "queId": "c77f331346134c99a3ae861b8ad613c6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A lot of bables were born in the zoo last year: two baby lions, three baby dolphins and four baby eagles How many legs do all these babies have altogether? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$14$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3911", "queId": "200a7e4ec63f4dad9b777506c81b390f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The graph of $y=x-3$ does not pass through which quadrant? ", "answer_option_list": [[{"aoVal": "A", "content": "Quadrant $I$ "}], [{"aoVal": "B", "content": "Quadrant $II$ "}], [{"aoVal": "C", "content": "Quadrant $III$ "}], [{"aoVal": "D", "content": "Quadrant $IV$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3913", "queId": "42ebf73fdc114361a7efb179f5eef5a3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Given that carbon has a valence of 4 (it needs to form 4 covalent bonds to be stable) and oxygen has a valence of 2, how many oxygen atoms can a carbon atom bond to? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3920", "queId": "ec8c168916384ee7ad50c39485e261ea", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Dean swims for $72$ minutes. To keep his mind active, he works out the fraction of the total time that has passed every 30 seconds to $72$ minutes. How many of the results of his calculations can be expressed in the form $\\frac{1}{n}$, where $n$ is an integer greater than $1$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$13$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Factorization"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3922", "queId": "e7e7f24ce59d44f8baa94388dcbb7203", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Fill in the blank with the correct number. 1, 1, 2, 3, 5, 8,~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$13$$ "}], [{"aoVal": "D", "content": "$$14$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3924", "queId": "42f3b02e50a44cb0b1662543c9a7545e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Rational numbers: $$1^{2}$$, $$100\\textbackslash\\%$$, $$-\\textbar-1\\textbar$$, $$\\frac{2^{2023}}{2^{2022}}$$. There are equal to $$1$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3933", "queId": "287469aaa7674af8aef20a132db38ee8", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which fraction is closest to $\\frac34$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac12$$ "}], [{"aoVal": "B", "content": "$\\frac38$ "}], [{"aoVal": "C", "content": "$$\\frac45$$ "}], [{"aoVal": "D", "content": "$\\frac{73}{100}$ "}], [{"aoVal": "E", "content": "$$\\frac{44}{80}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3935", "queId": "2cc13b6fef4d41619539166d066ff48f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the expressions below has the same result as $16 \\div (2\\times4)$? ", "answer_option_list": [[{"aoVal": "A", "content": "$16\\div2\\times4$ "}], [{"aoVal": "B", "content": "$16\\times 2 \\div 4$ "}], [{"aoVal": "C", "content": "$16\\div2\\div4$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3936", "queId": "358c3cd00cf746c7b2c4c2144a1b6e64", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$826-18=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$718$$ "}], [{"aoVal": "B", "content": "$$808$$ "}], [{"aoVal": "C", "content": "$$816$$ "}], [{"aoVal": "D", "content": "$$807$$ "}], [{"aoVal": "E", "content": "$$818$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Whole Numbers->Adding and Subtracting within 10000->Subtracting 2-digit Numbers from 3-digit Numbers ", "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3940", "queId": "243f401d9b9a4db1b47c7e3049d3fa0b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following commonly used conversion factors cannot be used to convert weight units? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{1000\\text{g}}{1\\text{kg}}$ "}], [{"aoVal": "B", "content": "$\\frac{16\\text{ounces}}{1\\text{lb}}$ "}], [{"aoVal": "C", "content": "$\\frac{1\\text{kg}}{1000\\text{g}}$ "}], [{"aoVal": "D", "content": "$\\frac{60\\text{minutes}}{1\\text{day}}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3942", "queId": "551ea5cc2aa142e986ea6db5163644b3", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Katie bought three identical pencils, two identical pens and two identical erasers, and paid ＄$$11.60$$. Hannah bought one pencil, two pens and two erasers, and she paid ＄$$8.40$$. How much does one pencil cost? ", "answer_option_list": [[{"aoVal": "A", "content": "＄$$1.20$$ "}], [{"aoVal": "B", "content": "＄$$1.50$$ "}], [{"aoVal": "C", "content": "＄$$1.60$$ "}], [{"aoVal": "D", "content": "＄$$3.20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Equivalent Substitution that can be Directly Calculated"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3943", "queId": "94a74f55038e418ab6bb26144da53dd0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Under the influence of a force, an object of mass 4 kg accelerates from 3 m/s to 6 m/s in 8 s. How much work was done on the object during this time? ", "answer_option_list": [[{"aoVal": "A", "content": "$$27J$$ "}], [{"aoVal": "B", "content": "$$54J$$ "}], [{"aoVal": "C", "content": "$$72J$$ "}], [{"aoVal": "D", "content": "$$96J$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3947", "queId": "24448e4c24cd45fa8467f55605bf0696", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference between bottled water and tap water, what is the probability that \\uline{at least} 8 of the 9 participants will correctly identify the tap water? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.0020$$ "}], [{"aoVal": "B", "content": "$$0.0195$$ "}], [{"aoVal": "C", "content": "$$0.8889$$ "}], [{"aoVal": "D", "content": "$$0.9805$$ "}], [{"aoVal": "E", "content": "$$0.9980$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3948", "queId": "2444bb480ccc4c818cac01bf21bc9ba1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Timmy has ten $20$ cents coins and some $50$ cents coins. All these coins add up to ＄$5.50$. How many $50$ cents coins does Timmy have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$11$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3949", "queId": "3a07235cf8bc4c289efc7a49c4572a9a", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Which of the following is the correct \"Percent of Change Formula\"? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{new-original}{new}\\times 100\\textbackslash\\%$ "}], [{"aoVal": "B", "content": "$\\frac{original-new}{new}\\times 100\\textbackslash\\%$ "}], [{"aoVal": "C", "content": "$\\frac{new-original}{original}\\times 100\\textbackslash\\%$ "}], [{"aoVal": "D", "content": "$\\frac{original-new}{original}\\times 100\\textbackslash\\%$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3953", "queId": "5520c2f9bde04908bd8f7a832f6c2b56", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Use the digits $2$, $3$, $8$ to form a three-digit number and each digit can only be used once. What is the sum of the maximum $3$-digit number~and the minimum $3$-digit number？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$611$$ "}], [{"aoVal": "B", "content": "$$655$$ "}], [{"aoVal": "C", "content": "$$1042$$ "}], [{"aoVal": "D", "content": "$$1061$$ "}], [{"aoVal": "E", "content": "$$1070$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3959", "queId": "4302999e30c64408a11151490f6868f4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$5 - 2 + 4 \\times3 =$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$-13$$ "}], [{"aoVal": "B", "content": "$$25$$ "}], [{"aoVal": "C", "content": "$$-9$$ "}], [{"aoVal": "D", "content": "$$27$$ "}], [{"aoVal": "E", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3961", "queId": "9007d578cb9d48ee977384997d542c9c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A box has fewer than 50 cookies in it. The cookies can be divided evenly between 2, 3, or 4 children. However, they cannot be divided evenly between 7 children because 6 more cookies would be needed. How many cookies are there in the box? (2021 Math Kangaroo Problem, Level 3-4, Question \\#20) ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$24$$ "}], [{"aoVal": "C", "content": "$$30$$ "}], [{"aoVal": "D", "content": "$$36$$ "}], [{"aoVal": "E", "content": "$$48$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3963", "queId": "203fccd581304f8daa9b211fa5ef892f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Every day of the year, an average of $199$ people each donated $5$p to a charity. Estimate how much money the charity raised through donations in one year? ", "answer_option_list": [[{"aoVal": "A", "content": "£$3600$ "}], [{"aoVal": "B", "content": "£$360$ "}], [{"aoVal": "C", "content": "£$36$ "}], [{"aoVal": "D", "content": "£$36000$ "}], [{"aoVal": "E", "content": "£$10$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3967", "queId": "7e7600261bf445528cd30c4ed12dd9ef", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$10 \\times259 = 259\\times \\square +6\\times 259$$ The missing number in the box is ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3974", "queId": "9dea5fae66e04f30857e174a74f64bd7", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following inequalities is always true? ", "answer_option_list": [[{"aoVal": "A", "content": "$x\\geq20$ "}], [{"aoVal": "B", "content": "$x\\textless-10$ "}], [{"aoVal": "C", "content": "$2x\\textless2x-10$ "}], [{"aoVal": "D", "content": "$0\\textgreater-10$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "3979", "queId": "9deb3bc9e8a34ca4b3ccc212adc4d692", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Linda buys five skirts costing £12.99,~£25.99, £18.99, £31.99 and~£9.99. How much change does she get from £120? 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"], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4215", "queId": "f5f7e764cac8456eb18e3ea0d4978a6b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Tick the correct statement below: Is the answer to $32.6578 \\times ~32.6578$． ", "answer_option_list": [[{"aoVal": "A", "content": "Below $100$? "}], [{"aoVal": "B", "content": "Between $100$ and $1000$? "}], [{"aoVal": "C", "content": "Between $1000$ and $1100$? "}], [{"aoVal": "D", "content": "More than $1100$? "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4218", "queId": "439be65ecd52473e94da9be33cc60f2c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the number when $$187.45$$ is rounded to $$1$$ decimal place? ", "answer_option_list": [[{"aoVal": "A", "content": "$$187.4$$ "}], [{"aoVal": "B", "content": "$$187.5$$ "}], [{"aoVal": "C", "content": "$$188.4$$ "}], [{"aoVal": "D", "content": "$$188.5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4223", "queId": "5eadea0f18f04beda391a7a039bf0d3a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Think Academy purchased some footballs and basketballs, the ratio of the number of footballs to the number of basketballs is 5:6, and the ratio of the unit prices is 9:10. What is the ratio of their total prices? ", "answer_option_list": [[{"aoVal": "A", "content": "3:1 "}], [{"aoVal": "B", "content": "4:3 "}], [{"aoVal": "C", "content": "27:25 "}], [{"aoVal": "D", "content": "3:4 "}], [{"aoVal": "E", "content": "25:27 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4228", "queId": "3f26737398dd4f07b5299f0ccce0b754", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$$6$$ less than $$24$$ is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$30$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$18$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$22$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4230", "queId": "3f281b11b63e4ff9b861bca7f187dc77", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A contestant\\textquotesingle s final winnings on a game show are determined by a random selection of a base amount and a possible multiplier. For the base amount, the contestant randomly selects one of four cards, where two cards are marked $\\textbackslash$1,000$, one card is marked $\\textbackslash$2,000$, and one card is marked $\\textbackslash$5,000$. After choosing the card, the contestant randomly selects one of five chips, where three chips are red and two chips are white. If the selected chip is red, the contestant\\textquotesingle s final winnings are twice the value of the base amount. If the selected chip is white, the contestant\\textquotesingle s final winnings are the value of the base amount. What is the probability that a contestant\\textquotesingle s final winnings are exactly $\\textbackslash$2,000$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ cents "}], [{"aoVal": "B", "content": "$$30$$ cents "}], [{"aoVal": "C", "content": "$$40$$ cents "}], [{"aoVal": "D", "content": "$$50$$ cents "}], [{"aoVal": "E", "content": "$$60$$ cents "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4232", "queId": "5a21c6bc2631408b9098b58ffe7420b2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The first term of an arithmetic sequence is $$7$$ and the $$3^{}\\text{rd}$$ term is $$17$$, what is the common difference of the arithmetic sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4238", "queId": "4814ce284266486b83f37c0412fd8e69", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$434-30 - 4=$$ ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$217$$ "}], [{"aoVal": "B", "content": "$$400$$ "}], [{"aoVal": "C", "content": "$$327$$ "}], [{"aoVal": "D", "content": "$$323$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4245", "queId": "67d57a82e7cc4c3c93e47386a659adc1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "which one of the following is the same as $$3\\times \\frac{2}{7}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3\\times2\\times7$$ "}], [{"aoVal": "B", "content": "$$3 \\times 2 \\times \\frac{1}{7}$$ "}], [{"aoVal": "C", "content": "$$\\frac{2}{7} \\times \\frac{2}{7} \\times \\frac{2}{7}$$ "}], [{"aoVal": "D", "content": "$$3 \\times \\frac{2}{7} \\times \\frac{1}{7}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4248", "queId": "3f325e389cb948be8c262a31bac8d35b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\frac{1}{3}+\\square =\\frac{3}{4}$$ What is the missing fraction in the box? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{4}{7}$$ "}], [{"aoVal": "B", "content": "$$\\frac{5}{7}$$ "}], [{"aoVal": "C", "content": "$$\\frac{5}{12}$$ "}], [{"aoVal": "D", "content": "$$\\frac{2}{1}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4262", "queId": "7109d7b5ff5749e39f63d58bc0a87ce0", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which card below has the greatest value? ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ ones "}], [{"aoVal": "B", "content": "$$1$$ ten and $$8$$ ones "}], [{"aoVal": "C", "content": "$$16$$ ones "}], [{"aoVal": "D", "content": "$$1$$ ten and $$5$$ ones "}], [{"aoVal": "E", "content": "$$19$$ ones "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4267", "queId": "3f3e223601b7425bb261c58c2d0077d9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following expressions CANNOT be represented by $$4 \\times 3$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4+4+4$$ "}], [{"aoVal": "B", "content": "$$4+3$$ "}], [{"aoVal": "C", "content": "$$3+3+3+3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4273", "queId": "ff3f6a8706a64386b18ad1f278176d9f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The speeds of Selena and Polly is $4:7$. It takes Selena $28$ minutes to complete a race. How long does it take Polly to complete the same race? ", "answer_option_list": [[{"aoVal": "A", "content": "$49\\rm\\textasciitilde minutes$ "}], [{"aoVal": "B", "content": "$7\\rm\\textasciitilde minutes$ "}], [{"aoVal": "C", "content": "$4\\rm\\textasciitilde minutes$ "}], [{"aoVal": "D", "content": "$16\\rm\\textasciitilde minutes$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4286", "queId": "322fa2c1c3d04724a5e74ee5a5aed4ca", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is a ratio? ", "answer_option_list": [[{"aoVal": "A", "content": "NBA Score "}], [{"aoVal": "B", "content": "Time on the clock "}], [{"aoVal": "C", "content": "A statement "}], [{"aoVal": "D", "content": "A recipe "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4293", "queId": "e373ac50f83a4b39a0b77b728036a5af", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The numbers 1, 5, 8, 9, 10, 12 and 15 are distributed into groups with one or more numbers. The sum of the numbers in each group is the same. What is the largest number of groups? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A.$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4294", "queId": "43c5eb000f8b4225a427f2bb679f390d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a standard deviation 5 minutes. If the student leaves home at 8:25 A.M. What is the probability that the student will arrive at the college campus later than 9 A.M.? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.16$$ "}], [{"aoVal": "B", "content": "$$0.32$$ "}], [{"aoVal": "C", "content": "$$0.50$$ "}], [{"aoVal": "D", "content": "$$0.84$$ "}], [{"aoVal": "E", "content": "$$1.00$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4297", "queId": "a768e04e239e412fb17b4871f29853ac", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number? $$1386$$,~ $$1586$$,~ $$1986$$,~~$$\\boxed ~{\\textasciitilde\\textasciitilde?\\textasciitilde\\textasciitilde}$$,~ $$3386$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2186$$ "}], [{"aoVal": "B", "content": "$$2386$$ "}], [{"aoVal": "C", "content": "$$2586$$ "}], [{"aoVal": "D", "content": "$$2786$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4308", "queId": "5ecff6e3989046bdbb225fba383dee2d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$4a+2b+3c=20$$ Which of the statements below is incorrect? Choose the answer. ", "answer_option_list": [[{"aoVal": "A", "content": "$$8a+4b+6c=40$$ "}], [{"aoVal": "B", "content": "$$4a+2b=20-3c$$ "}], [{"aoVal": "C", "content": "$$4a+2b+3c-20=0$$ "}], [{"aoVal": "D", "content": "$$4a+2b+4c=20+c$$ "}], [{"aoVal": "E", "content": "$$4a=20+2b-3c$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4310", "queId": "43ce6782d6d9487e8e7be22ab408d718", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Is percent a Ratio? ", "answer_option_list": [[{"aoVal": "A", "content": "Yes "}], [{"aoVal": "B", "content": "No "}], [{"aoVal": "C", "content": "This is a wrong answer but I just want to choose it "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4313", "queId": "8bc049c63b5b4f718d2be141423ad533", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many groups of four are there in $$84$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$21$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$48$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$245$$ "}], [{"aoVal": "D", "content": "$$490$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4327", "queId": "f15cf5b234df4f77983a4683d37bebf0", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "A sequence of numbers is generated by subtracting the same amount each time. If the $4^{\\rm th}$ term is $5$ and the $11^{\\rm th}$ term is $-16$, what is the $1^{\\rm st}$ term of the sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$-4$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$17$$ "}], [{"aoVal": "D", "content": "$$11$$ "}], [{"aoVal": "E", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4331", "queId": "d5959b465dd449f494274a52f1d1a409", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$$2y+3x+4y=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$9xy$$ "}], [{"aoVal": "B", "content": "$$5x+4y$$ "}], [{"aoVal": "C", "content": "$$3x+6y$$ "}], [{"aoVal": "D", "content": "$$5x+6y$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4338", "queId": "ac0e708514a6469583e6159d3f07bcae", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Is 0 a rational number? ", "answer_option_list": [[{"aoVal": "A", "content": "Yes "}], [{"aoVal": "B", "content": "No "}], [{"aoVal": "C", "content": "Not sure "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4343", "queId": "a7711322d3434c3db898b7ea04bd36b3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The graph above shows the position x as a function of time for the center of mass of a system of particles of total mass 6.0 kg. For a very short time interval around 2.0 s, an external force is exerted on an object in the system. What is the resulting change in momentum of the system? ", "answer_option_list": [[{"aoVal": "A", "content": "$$52$$~kg·m/s "}], [{"aoVal": "B", "content": "$$6$$~kg·m/s "}], [{"aoVal": "C", "content": "$$-6$$~kg·m/s "}], [{"aoVal": "D", "content": "$$-18$$~kg·m/s "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4344", "queId": "43e0f5ddd49541d3847e5f8a626edb2f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The amount of money that Rachel saved was $$\\textbackslash$1670$$ when rounded off to the nearest $$\\textbackslash$10$$. What was the greatest amount of money she could have possibly saved (from the below options)? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\textbackslash$1664$$ "}], [{"aoVal": "B", "content": "$$\\textbackslash$1669$$ "}], [{"aoVal": "C", "content": "$$\\textbackslash$1674$$ "}], [{"aoVal": "D", "content": "$$\\textbackslash$1675$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4345", "queId": "43e15fbaf0334d5eb77a1975e2280556", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Which of the following is an inequality that is always true？ ", "answer_option_list": [[{"aoVal": "A", "content": "$x \\textgreater{} 1$ "}], [{"aoVal": "B", "content": "$1 \\textless{} -1$ "}], [{"aoVal": "C", "content": "$y +1 \\geq 2$ "}], [{"aoVal": "D", "content": "$2 + 1 \\geq 3$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4356", "queId": "7ee5e6490da841808a1ffdb0a0dd6012", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A packet of biscuits costs $$x$$ pence. I buy $$6$$ packets. Which expression shows how much change I will get from £$$5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5-6x$$ "}], [{"aoVal": "B", "content": "$$500-6x$$ "}], [{"aoVal": "C", "content": "$$6x-5$$ "}], [{"aoVal": "D", "content": "$$500-60x$$ "}], [{"aoVal": "E", "content": "$$6x-500$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4358", "queId": "3f75403c3d24461eb463013f16cc02bf", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is the opposite sign of \\textbf{\\textquotesingle$\\times$\\textquotesingle{}}? ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$ "}], [{"aoVal": "B", "content": "$$-$$ "}], [{"aoVal": "C", "content": "$$\\times $$ "}], [{"aoVal": "D", "content": "$$\\div $$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4361", "queId": "d59b0652d27e474da406b89465265354", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is $$23.4-6.75$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$30.15$$ "}], [{"aoVal": "B", "content": "$$17.55$$ "}], [{"aoVal": "C", "content": "$$15.75$$ "}], [{"aoVal": "D", "content": "$$15.65$$ "}], [{"aoVal": "E", "content": "$$16.65$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4367", "queId": "32707b3522e546f282a7ee7350dc0498", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Fill in the blank with the correct number. 1,1,2,3,5,8,~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$13$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4375", "queId": "485d1e136acb4f6eb84356ce529384d4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Estimate the sum of $$298608$$ and $$7290$$ by rounding off each number to the nearest thousand first (before calculating the result). ", "answer_option_list": [[{"aoVal": "A", "content": "$$305900$$ "}], [{"aoVal": "B", "content": "$$305000$$ "}], [{"aoVal": "C", "content": "$$306000$$ "}], [{"aoVal": "D", "content": "$$307000$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4379", "queId": "950a4e414fb741a59c4189afed3db954", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is an linear equation written in slope-intercept form? ", "answer_option_list": [[{"aoVal": "A", "content": "$y=x^{2}$ "}], [{"aoVal": "B", "content": "$3y-2=4x$ "}], [{"aoVal": "C", "content": "$y=-\\frac{x}{18}+3$ "}], [{"aoVal": "D", "content": "$\\frac{17}{y}=\\frac{22}{x}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4384", "queId": "88200b12800a47d3bad0fea97d58c7be", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "There are $15$ people coming to Laura's party. Laura wants to prepare four meatballs, two slices of pizza, and three scoops of ice cream for each guest. A bag (B) of meatballs contains $12$ meatballs, a pizza (P) can be cut up into $10$ slices and a tub (T) of ice cream can be divided into $5$ scoops. Which expression shows how many bags of meatballs, pizzas and tubs of ice cream Laura must buy? ", "answer_option_list": [[{"aoVal": "A", "content": "$3\\rm B+5\\rm P+9\\rm T$ "}], [{"aoVal": "B", "content": "$3\\rm B+5\\rm P+4\\rm T$ "}], [{"aoVal": "C", "content": "$9\\rm B+3\\rm P+5\\rm T$ "}], [{"aoVal": "D", "content": "$15\\rm B+6\\rm P+3\\rm T$ "}], [{"aoVal": "E", "content": "$5\\rm B+3\\rm P+9\\rm T$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4386", "queId": "a779f503faeb4b628965c9c9ee200e3d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Look at this sequence: 72, 70, 66, 60, 52,~\\uline{~~~~~~~~~~}~,~\\uline{~~~~~~~~~~}~, $\\cdots$ What is the $$7\\text{th}$$ number in this sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$48$$ "}], [{"aoVal": "B", "content": "$$42$$ "}], [{"aoVal": "C", "content": "$$40$$ "}], [{"aoVal": "D", "content": "$$34$$ "}], [{"aoVal": "E", "content": "$$30$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Two Grade Arithmetic Sequences"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4392", "queId": "55e48bc393ec4a3693433fbc04d94d2b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "After $$1$$ comes $$3$$, after $$3$$ comes $$5$$, after $$5$$ comes $$7$$. What comes after $$7$$? $$1$$~ ~ $$3$$~ ~ $$5$$~ ~ $$7$$~ ~ $$\\cdots$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4400", "queId": "2e57ceb4b9e34473bbd022c6f7cbbbee", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Eddie has $$y$$ toys. Bob has $$150$$ more than two times the number of toys Eddie has. Bob hastoys． ", "answer_option_list": [[{"aoVal": "A", "content": "$$2y+150$$ "}], [{"aoVal": "B", "content": "$$2(y+150)$$ "}], [{"aoVal": "C", "content": "$$2y-150$$ "}], [{"aoVal": "D", "content": "$$2(y-150)$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4401", "queId": "b0b4d819a89747e9a79dcf6996ec0f4d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I'm thinking of two numbers, one of which is three times as big as the other. When I double one of my numbers and then add it to the other I get $$140$$. Which of the following cannot possibly be one of my numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$28$$ "}], [{"aoVal": "C", "content": "$$50$$ "}], [{"aoVal": "D", "content": "$$60$$ "}], [{"aoVal": "E", "content": "$$84$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4403", "queId": "328ec2abeed148928161e9da9872db5d", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The random variable X is normally distributed with mean 5 and standard deviation 25. The random variable Y is defined by Y = 4+2X. What are the mean and the standard deviation of Y? ", "answer_option_list": [[{"aoVal": "A", "content": "The mean is 20 and the standard deviation is 102. "}], [{"aoVal": "B", "content": "The mean is 20 and the standard deviation is 50. "}], [{"aoVal": "C", "content": "The mean is 22 and the standard deviation is 102. "}], [{"aoVal": "D", "content": "The mean is 22 and the standard deviation is 100. "}], [{"aoVal": "E", "content": "The mean is 22 and the standard deviation is 50. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4404", "queId": "ac1cde52b54a4d3eb7ade8beb1b97ba4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the set of solution to the equation $\\sqrt{x+6}=x$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$\\textbackslash{-2, 3\\textbackslash}$ "}], [{"aoVal": "B", "content": "$\\textbackslash{3\\textbackslash}$ "}], [{"aoVal": "C", "content": "$\\textbackslash{-2\\textbackslash}$ "}], [{"aoVal": "D", "content": "There are no solutions to the given equation. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4406", "queId": "da41a8d10c5f49b98816faac1cb82ff3", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A satellite that is a spinning cylinder has initial rotational inertia I\\textsubscript{0}~and angular velocity w\\textsubscript{0.~}Solar panels unfold from the satellite and are extended outward. The satellite then has rotational inertia I\\textsubscript{f} = al\\textsubscript{0} and angular velocity w\\textsubscript{f} = bw\\textsubscript{0,~}where a and b are constants. Which of the following is true about the constants a and b ? ", "answer_option_list": [[{"aoVal": "A", "content": "a = l and b = 1 "}], [{"aoVal": "B", "content": "a \\textgreater{} 1 and b \\textless{} l "}], [{"aoVal": "C", "content": "a \\textgreater{} l and b = 1 "}], [{"aoVal": "D", "content": "a \\textless{} l and b \\textless{} l "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4407", "queId": "516e7c2d4358462f8bc252d0dd8c25f3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "One basket can contain no more than $35$ eggs. What is the samllest number of baskets needed to contain $150$ eggs? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4413", "queId": "7a62882ea9e742ed803e083b41ceed1f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following ratio is equivalent to $$18:12$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2:3$$ "}], [{"aoVal": "B", "content": "$$4:6$$ "}], [{"aoVal": "C", "content": "$$15:10$$ "}], [{"aoVal": "D", "content": "$$21:10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4416", "queId": "4412accaf04148a495956dec82935105", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these statements is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6\\frac{1}{3}\\textless{}6.3$$ "}], [{"aoVal": "B", "content": "$$\\frac{9}{6}\\textgreater{} \\frac{10}{7}$$ "}], [{"aoVal": "C", "content": "$$\\frac{15}{64}\\textless\\frac{9}{40}$$ "}], [{"aoVal": "D", "content": "$$3\\frac{1}{7}\\textgreater3.7$$ "}], [{"aoVal": "E", "content": "$$\\frac{12}{25}\\textgreater\\frac{50}{99}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals"], "answer_analysis": ["N/A.　 "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4421", "queId": "4cfc6c12de1849bc9a8adbc9afbdc6c8", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A bag contains green mints and red mints only. If 75\\% of the mints are green, what is the ratio of the number of green mints to the number of red mints? (A) ", "answer_option_list": [[{"aoVal": "A", "content": "$$3 : 4$$ "}], [{"aoVal": "B", "content": "$$3 : 1$$ "}], [{"aoVal": "C", "content": "$$4 : 3$$ "}], [{"aoVal": "D", "content": "$$1 : 3$$ "}], [{"aoVal": "E", "content": "$$3 : 7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4422", "queId": "3fa765047155488ba5c7c3825dc3fc4c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The product of $5$ and $a$ is the same as $2$ plus $b$. Which of the following is the correct expression? ", "answer_option_list": [[{"aoVal": "A", "content": "$5a+2+b$ "}], [{"aoVal": "B", "content": "$5a=2+b$ "}], [{"aoVal": "C", "content": "$5+a=2+b$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4428", "queId": "5f0784f5a5e24a29b40c7500621906b1", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Three friends write down the first $30$ numbers ($1--30$) on separate cards. Karry says, ``I have all the prime numbers.'' Barry says, ``I have all the odd numbers that aren\\textquotesingle t prime.'' Larry says, ``I have all the even numbers that aren\\textquotesingle t prime.'' How many cards is Larry holding? ", "answer_option_list": [[{"aoVal": "A", "content": "$$30$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$14$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4433", "queId": "36ff4e11f2e7414d829dcbe3b119a73e", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Expressions: The combination of numbers, symbols and operators. (1) A single number or a single letter can be considered an algebraic expression. (2) Equations and inequalities are NOT expressions. Which of the following is \\textbf{NOT} an expression? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "a "}], [{"aoVal": "C", "content": "$$a+b=a+b$$ "}], [{"aoVal": "D", "content": "$$b+1+a$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4434", "queId": "7146f987da0a4fe3a0b6d3c7e7bd8a81", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Bill is making a scale model of Willis Tower. The Willis Tower is $440\\text{m}$ tall and his model is $110\\text{cm}$ tall. What is the scale of the model, in its simplest form? ", "answer_option_list": [[{"aoVal": "A", "content": "$1:4$ "}], [{"aoVal": "B", "content": "$4:1$ "}], [{"aoVal": "C", "content": "$1:400$ "}], [{"aoVal": "D", "content": "$400:1$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"], "answer_analysis": [" "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4441", "queId": "7a6e33cc27124fe585653a272d14e6be", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "\\textbf{Which is easier to do?} ", "answer_option_list": [[{"aoVal": "A", "content": "$$14-9-4=$$ "}], [{"aoVal": "B", "content": "$$14-4-9=$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4443", "queId": "4889829db2e741c5a300292b2a4d5e12", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$3, 6, 12, 24, 48, \\dots$ What number comes next in the sequence? 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What is the $67\\text{th}$ number in this sequence? $4, 3, 1, 2, 5, 4, 3, 1, 2, 5, 4, 3, 1, 2, 5\\dots$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4484", "queId": "8bee20013c96417ba61f90e45dfba5e9", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "Simplify：$$(x+3)(x+4)$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$x^{2}+7x+12$$ "}], [{"aoVal": "B", "content": "$$x^{2}+5x+12$$ "}], [{"aoVal": "C", "content": "$$x^{2}+2x+12$$ "}], [{"aoVal": "D", "content": "$$x^{2}+12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4485", "queId": "48a06ab6eeb044739589e6a2875a7ac9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The distribution of monthly rent for one-bedroom apartments in a city is approximately normal with mean $\\textbackslash$$936 and standard deviation $\\textbackslash$$61. 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", "answer_option_list": [[{"aoVal": "A", "content": "$A:B=3:1$ "}], [{"aoVal": "B", "content": "$A:B:C=2:1$ "}], [{"aoVal": "C", "content": "$A:B:C=1:1:1$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4510", "queId": "5f28467b59b64a91b01d98ee850b13c1", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The sequence below must contain all the numbers from $$1$$ to $$4$$, and each number can only appear once. What number comes next? $$1$$, $$4$$, $$3$$,~\\uline{~~~~~~~~~~}~． ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$1$$ "}], [{"aoVal": "D", "content": "$$3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4512", "queId": "c7dce83eab5446909712910a6660a711", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "An object is moving with a constant acceleration of 2 m/s^{2}. If its initial velocity is 10 m/s, what is its velocity after 5 seconds? ", "answer_option_list": [[{"aoVal": "A", "content": "0 m/s "}], [{"aoVal": "B", "content": "10 m/s "}], [{"aoVal": "C", "content": "20 m/s "}], [{"aoVal": "D", "content": "30 m/s "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4513", "queId": "32f15cbf11c245c7a7cbb545a88d1036", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many terms and variables does the expression $3xz+y+25$ have? ", "answer_option_list": [[{"aoVal": "A", "content": "$3,3$ "}], [{"aoVal": "B", "content": "$2,3$ "}], [{"aoVal": "C", "content": "$3,2$ "}], [{"aoVal": "D", "content": "$2,2$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4514", "queId": "8848ef349d1d4565955da7077e928aa0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Elma took $$2$$ candy bars to school. First, she traded each of them for $$4$$ apples, and then she traded each of the apples for $$3$$ mandarin oranges. How many mandarin oranges did she have after all the trading? (2008 Math Kangaroo Problem, Level 1-2, Question \\#9) ", "answer_option_list": [[{"aoVal": "A", "content": "$$2+4+3$$ "}], [{"aoVal": "B", "content": "$$2\\times4+3$$ "}], [{"aoVal": "C", "content": "$$2+4\\times3$$ "}], [{"aoVal": "D", "content": "$$2\\times4\\times3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Object Substitution"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4518", "queId": "7f1ac9313b2d4bf69997ccb42fd81d03", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Devi is $$9$$ years old and Valli is $$13$$ years old now. What is the ratio of Devi\\textquotesingle s age to Valli\\textquotesingle s age in $$5$$ years\\textquotesingle{} time? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3:7$$ "}], [{"aoVal": "B", "content": "$$7:9$$ "}], [{"aoVal": "C", "content": "$$13:14$$ "}], [{"aoVal": "D", "content": "$$9:18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4533", "queId": "8851274b1ce84bddab609cad965ce2dd", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following is not a unit of length? ", "answer_option_list": [[{"aoVal": "A", "content": "centimeter "}], [{"aoVal": "B", "content": "meter "}], [{"aoVal": "C", "content": "inch "}], [{"aoVal": "D", "content": "pound "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4535", "queId": "6849c81d7f96499886f10c21d0da43a4", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate the value of $$13+5+91-7+87-1+27+40$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$210$$ "}], [{"aoVal": "B", "content": "$$250$$ "}], [{"aoVal": "C", "content": "$$255$$ "}], [{"aoVal": "D", "content": "$$271$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4537", "queId": "3753b6f6152f402c92540792e3fd6890", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "If $p-9=12$, what number does $p$ stand for? 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How long does the rocket take to reach to this final velocity? $\\textasciitilde$ $\\textasciitilde$ $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1s$$ "}], [{"aoVal": "B", "content": "$$2.25s$$ "}], [{"aoVal": "C", "content": "$$60s$$ "}], [{"aoVal": "D", "content": "$$120s$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4542", "queId": "5636059ecee04990bb5acce3557495d4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The ones digit in the number $${{1997}^{1998}}+{{1998}^{2000}}+{{2000}^{2001}}$$ is． ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "For every 1\\% increase in price, Quinn will be willing to sell 3.75 more cupcakes "}], [{"aoVal": "B", "content": "For every $3.75 increase in price, Quinn will be willing to sell 1\\% more cupcakes "}], [{"aoVal": "C", "content": "For every $3.75 increase in price, Quinn will be willing to sell 1 more cupcake "}], [{"aoVal": "D", "content": "For every 1\\% increase in price, Quinn will be willing to sell 3.75\\% more cupcakes "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4552", "queId": "ac3cb801eb52492cbdc35ba4be864151", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The total cost of $$4$$ rulers is the same as the total cost of $$2$$ rulers and $$6$$ pencils. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$ "}], [{"aoVal": "B", "content": "$$-$$ "}], [{"aoVal": "C", "content": "$$\\times $$ "}], [{"aoVal": "D", "content": "$$\\div $$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4555", "queId": "6cde4682463f403aa5e92c782c2d0f86", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The combustion of glucose releases energy. The ratio of grams of glucose combusted to kilocalories of energy released is 12.0 to 45.0. How many grams of glucose must be combusted to provide 85.5 kilocalories of energy? 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The total amount of money is． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1.90$ "}], [{"aoVal": "B", "content": "$$1.95$ "}], [{"aoVal": "C", "content": "$$2.00$ "}], [{"aoVal": "D", "content": "$$2.05$ "}], [{"aoVal": "E", "content": "$3.00 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money", "Overseas In-curriculum->Knowledge Point->Measurement->Money->U.S. Currency Units->Currency Conversion"], "answer_analysis": ["N/A. 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She exchanges the notes for $$20$$-cent coins. How many coins will she receive? ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$20$$ "}], [{"aoVal": "D", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money", "Overseas In-curriculum->Knowledge Point->Measurement->Money->Singapore Currency Units->Conversion of Cents and Dollars"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4567", "queId": "7f2b917c96734372bfc4179c5330358f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many solutions does the equation $\\textbar x-3\\textbar=-2$ have? ", "answer_option_list": [[{"aoVal": "A", "content": "Zero "}], [{"aoVal": "B", "content": "Exactly one "}], [{"aoVal": "C", "content": "Exactly Two "}], [{"aoVal": "D", "content": "More than two "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4571", "queId": "5abc676677a2420faf8ce4787d01bdba", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The graph of $y=-3x-1$ does not pass through which quadrant? ", "answer_option_list": [[{"aoVal": "A", "content": "Quadrant $I$ "}], [{"aoVal": "B", "content": "Quadrant $II$ "}], [{"aoVal": "C", "content": "Quadrant $III$ "}], [{"aoVal": "D", "content": "Quadrant $IV$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4578", "queId": "3bbd2f23e9a44cd58205b4c36f3d800c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Peter bought $2$ watermelons, a banana and an apple, which cost a total of $20$ dollars. Joey bought a banana and $2$ apples, which cost $7$ dollars less than Peter. The unit price of watermelon is $3$ dollars higher than that of banana. How much is an apple? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$19$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": ["N/A.　 "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4595", "queId": "da5f525010e64dc5800952ce7ca3a231", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If the equation $\\sqrt{x+2}=a$ with respect to $x$ has no solution, which of the following is a possible value of the constant $a$? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$0$$ "}], [{"aoVal": "D", "content": "$$-2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4596", "queId": "d1242f7859e544ca8bff5e951b3dee92", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is equal to $x^{}\\frac{4}{3}$ for all values of $x$? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$\\sqrt{x^{}\\frac{4}{3}}$ "}], [{"aoVal": "B", "content": "$(x\\sqrt[3]{x})^{4}$ "}], [{"aoVal": "C", "content": "$x\\sqrt{x}$ "}], [{"aoVal": "D", "content": "$x\\sqrt[3]{x}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4600", "queId": "5acfe39e8337463f822e2d1a56332135", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of these is the smallest? 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", "answer_option_list": [[{"aoVal": "A", "content": "$13\\times(4+5)=13\\times4+5$ "}], [{"aoVal": "B", "content": "$(7+9)\\times9=7+9\\times9$ "}], [{"aoVal": "C", "content": "$(24+5)-(12-7)=24+5-12-7$ "}], [{"aoVal": "D", "content": "$49+(57-43)=49-57+43$ "}], [{"aoVal": "E", "content": "$57-(25+24)=57-25-24$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4686", "queId": "3c22c647e79a4e62998bb27d2e3a6fde", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$16$$ pencils. Teacher try to divide these pencils into $$5$$ students equally. Assume $$x$$ represents the number of pencils each student can get. Which of the following inequalities can represent this situation? 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", "answer_option_list": [[{"aoVal": "A", "content": "The quantity demanded increases by 2\\% "}], [{"aoVal": "B", "content": "The quantity demanded decreases by 20\\% "}], [{"aoVal": "C", "content": "The quantity demanded decreases by 2\\% "}], [{"aoVal": "D", "content": "The quantity demanded remains the same "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4692", "queId": "9e91003c32ae40ee956a51f02f550771", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "The weight of adult male grizzly bears living in the wild in the continental United States is approximately normally distributed with a mean of 500 pounds and a standard deviation of 50 pounds. The weight of adult female grizzly bears is approximately normally distributed with a mean of 300 pounds and a standard deviation of 40 pounds. Approximately, what would be the weight of female grizzly bear with the same standardized score (z-score) as a male grizzly bear with weight of 530 pounds? ", "answer_option_list": [[{"aoVal": "A", "content": "276~pounds~ "}], [{"aoVal": "B", "content": "324~pounds "}], [{"aoVal": "C", "content": "330 pounds "}], [{"aoVal": "D", "content": "340 pounds "}], [{"aoVal": "E", "content": "530 pounds "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4693", "queId": "8c30937dcb1f4f5eb344bffc83882b68", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A commercial for a breakfast cereal is shown during a certain television program. The manufacturer of the cereal wants to estimate the percent of television viewers who watch the program. The manufacturer wants the estimate to have a margin of error of at most 0.02 at a level of 95 percent confidence. 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", "answer_option_list": [[{"aoVal": "A", "content": "0\\% "}], [{"aoVal": "B", "content": "25\\% "}], [{"aoVal": "C", "content": "50\\% "}], [{"aoVal": "D", "content": "75\\% "}], [{"aoVal": "E", "content": "100\\% "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4707", "queId": "95648e6b278e4c8c8b913ea096db17a0", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Choose the even number. ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$35$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4708", "queId": "90ce10dbb85f48e5bfc9e53d3de0bb81", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Is $10$ a digit? 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", "answer_option_list": [[{"aoVal": "A", "content": "$4$ to $3$, $\\frac{0.4}{3}$ "}], [{"aoVal": "B", "content": "$\\frac{4}{3}$, $8$ to $9$ "}], [{"aoVal": "C", "content": "$$\\frac{4}{3}$$, $8:6$ "}], [{"aoVal": "D", "content": "$4:3$, $\\frac{2}{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4717", "queId": "a32e4147c3114596a80d2345f3818c8f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Round 19.367 kilometres to the nearest 100 metres. ", "answer_option_list": [[{"aoVal": "A", "content": "$$19.37$$km "}], [{"aoVal": "B", "content": "$$19.4$$km "}], [{"aoVal": "C", "content": "$$19.3$$km "}], [{"aoVal": "D", "content": "$$19$$km "}], [{"aoVal": "E", "content": "$$20$$km "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4720", "queId": "becc922dfbd04f11ac0e940f5e0a6220", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "An engine maintains constant power on a conveyor belt machine. If the belt\\textquotesingle s velocity is doubled, the magnitude of its average acceleration ", "answer_option_list": [[{"aoVal": "A", "content": "is doubled "}], [{"aoVal": "B", "content": "is quartered "}], [{"aoVal": "C", "content": "is halved "}], [{"aoVal": "D", "content": "is quadrupled "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4721", "queId": "493ddb3fe8f14918980f1e1af56e302d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "One box could contain $25$ strawberries. What is the smallest number of boxes needed to contain $110$ strawberries? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4722", "queId": "d5d4cf08b1374f0a848e1e6f4ac80123", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "To the number $$209$$, we add $$212$$. Then we multiply the result by $$29$$, and then we add $$208$$. Then the final result will be same as the result of the computation: (Adapted from 2012 Math Kangaroo Problem, Level 5 - 6, Question \\#7) ", "answer_option_list": [[{"aoVal": "A", "content": "$$209+212\\times 29+208$$ "}], [{"aoVal": "B", "content": "$$(209+212\\times 29)+208$$ "}], [{"aoVal": "C", "content": "$$(209+212)\\times 29+208$$ "}], [{"aoVal": "D", "content": "$$(209+212)\\times (29+208)$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4723", "queId": "764080e767834630bcf8be5cc70c75c0", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Four sports cars travel $$4$$ kilometres in $$1$$ minutes. How long does it take for one sports car to travel $$4$$ kilometres? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ is positive "}], [{"aoVal": "B", "content": "$$0$$ is negative "}], [{"aoVal": "C", "content": "$$0$$ is neither positive nor negative "}], [{"aoVal": "D", "content": "Do not know "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4729", "queId": "5f9696518f924b07bc872609869e388f", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A large city newspaper periodically reports the mean cost of dinner for two people at restaurants in the city. The newspaper staff will collect data from a random sample of restaurants in the city and estimate the mean price using a 90 percent confidence interval. In past years, the standard deviation has always been very close to $\\textbackslash$$35. Assuming that the population standard deviation is $\\textbackslash$$35, which of the following is the minimum sample size needed to obtain a margin of error of no more than $\\textbackslash$$5? 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What angle will the string make with the horizontal when the kinetic energy and the~potential energy of the sphere-Earth system is equal? ", "answer_option_list": [[{"aoVal": "A", "content": "Greater than 45° "}], [{"aoVal": "B", "content": "Equal to 45°~ "}], [{"aoVal": "C", "content": "Less than 45° "}], [{"aoVal": "D", "content": "It cannot be determined without knowing the mass of the sphere. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4750", "queId": "83fa16336c5b4f75aef42fef14cc84d5", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A male homozygous dominant for polydactyly and a female without polydactyly have offspring. What is the predicted phenotype ratio (polydactyly : not polydactyly) of their offspring? ", "answer_option_list": [[{"aoVal": "A", "content": "0 : 1 "}], [{"aoVal": "B", "content": "1 : 0 "}], [{"aoVal": "C", "content": "1 : 1 "}], [{"aoVal": "D", "content": "3 : 1 "}], [{"aoVal": "E", "content": "1 : 3 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4752", "queId": "9a060c552e284241b7ea4a7e4fe36abc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Pip divides 612 by 7. What remainder should he get? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$9.09 $$ "}], [{"aoVal": "B", "content": "$$ 8.91 $$ "}], [{"aoVal": "C", "content": "$$9.101 $$ "}], [{"aoVal": "D", "content": "$$8.7 $$ "}], [{"aoVal": "E", "content": "$$9.085$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4769", "queId": "ac7033f29b75475daa22cb11681fb600", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Ming bought $$3$$ identical files and $$3$$ identical notebooks from a bookshop. The $$3$$ identical notebooks cost as much as $$1$$ file. She paid ＄$$24$$ altogether. How much did each file cost? 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His mark was $105$. What is the full mark of the maths test? ", "answer_option_list": [[{"aoVal": "A", "content": "$$140$$ "}], [{"aoVal": "B", "content": "$$130$$ "}], [{"aoVal": "C", "content": "$$120$$ "}], [{"aoVal": "D", "content": "$$125$$ "}], [{"aoVal": "E", "content": "$$150$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4810", "queId": "525d5e0ca7e04894835757d37ec9f647", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "After simplying the following expressions, which one is different from others? 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Which of the following is closest to the percent of the runners who weigh between 1 14 pounds and 138 pounds? ", "answer_option_list": [[{"aoVal": "A", "content": "18\\% "}], [{"aoVal": "B", "content": "32\\% "}], [{"aoVal": "C", "content": "68\\% "}], [{"aoVal": "D", "content": "82\\% "}], [{"aoVal": "E", "content": "95\\% "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4860", "queId": "68e277375f954287be607b3e5a21b84f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The number of books in a library increased by 30\\% from 2002 to 2014. There were x books in the library in 2002. Which expression represents the number of books in the library in 2014 in terms of x? ", "answer_option_list": [[{"aoVal": "A", "content": "$130x$ "}], [{"aoVal": "B", "content": "$30x$ "}], [{"aoVal": "C", "content": "$1.3x$ "}], [{"aoVal": "D", "content": "$0.3x$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4865", "queId": "56f077e7b39d494194dccac63d065c9e", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "An arrow is shot from the roof of a building 30 meters high at 5 m/s and at an angle of 45 degrees. How fast will the arrow be going when it hits the ground? ", "answer_option_list": [[{"aoVal": "A", "content": "I have submitted my answer in the google form. "}], [{"aoVal": "B", "content": "I haven\\textquotesingle t submitted. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4866", "queId": "49a894be4ba249bd84d8f2d3276978be", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Brian and Charles had some stickers. At first, the number of stickers Brian had was $$\\frac{4}{7}$$ of the total number of stickers. Then, Brian sold $$\\frac{3}{8}$$ of his stickers. Find the ratio of the number of stickers Brian had at the end to the number of stickers Charles had at the end. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1:3$$ "}], [{"aoVal": "B", "content": "$$1:7$$ "}], [{"aoVal": "C", "content": "$$5:6$$ "}], [{"aoVal": "D", "content": "$$5:14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4870", "queId": "4e17f791157a4ad49186ee80b9e563ae", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Express $$0.05$$ as a fraction in its simplest form. ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{2}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{5}$$ "}], [{"aoVal": "C", "content": "$$\\frac{1}{20}$$ "}], [{"aoVal": "D", "content": "$$\\frac{1}{50}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4875", "queId": "7fa0cc004de7449ea33f31150f9b4a4c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "At Frank\\textquotesingle s Fruit Market, $$3$$ bananas cost as much as $$1$$ apple, and $$6$$ apples cost as much as $$4$$ oranges. How many oranges cost as much as $$18$$ bananas? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4876", "queId": "4e20b0ea971d436792414292a530bfa5", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "13. For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds. Which of the following is most likely true about the weights for the rabbits in this sample? ", "answer_option_list": [[{"aoVal": "A", "content": "The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies. "}], [{"aoVal": "B", "content": "The distribution of weights is approximately normal because the standard deviation is less than the mean. "}], [{"aoVal": "C", "content": "The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean. "}], [{"aoVal": "D", "content": "The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean. "}], [{"aoVal": "E", "content": "The distribution of weights has a median that is greater than the mean. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4878", "queId": "410ab27f9ada4e4d8e5ee7a53d8da1f8", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "We can represent atoms by listing the number of protons, neutrons, and electrons---for example, 2p\\textsuperscript{+}, 2n\\textsuperscript{0} , 2e\\textsuperscript{-} for helium. Which of the following represents the \\textsuperscript{18}O isotope of oxygen, given oxygen has an atomic number of 8? ", "answer_option_list": [[{"aoVal": "A", "content": "7p\\textsuperscript{+}, 2n\\textsuperscript{0} , 9e\\textsuperscript{-} "}], [{"aoVal": "B", "content": "8p\\textsuperscript{+}, 10n\\textsuperscript{0} , 8e\\textsuperscript{-} "}], [{"aoVal": "C", "content": "9p\\textsuperscript{+}, 9n\\textsuperscript{0} , 9e\\textsuperscript{-} "}], [{"aoVal": "D", "content": "10p\\textsuperscript{+}, 8n\\textsuperscript{0} , 9e\\textsuperscript{-} "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4880", "queId": "410c41737cd146808b772f89ff22cea4", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following algebraic expressions is written correctly? ", "answer_option_list": [[{"aoVal": "A", "content": "$2\\dfrac{1}{3}abc$ "}], [{"aoVal": "B", "content": "$ay\\cdot3$ "}], [{"aoVal": "C", "content": "$\\dfrac{ab}{4}$ "}], [{"aoVal": "D", "content": "$a\\times b+c$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4881", "queId": "c387490d7e9f4742b8892852cfc09cd5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A packet of biscuits costs $$x$$ pence. I buy $$6$$ packets. Which expression shows how much change I will get from £$$5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5-6x$$ "}], [{"aoVal": "B", "content": "$$500-6x$$ "}], [{"aoVal": "C", "content": "$$6x-5$$ "}], [{"aoVal": "D", "content": "$$500-60x$$ "}], [{"aoVal": "E", "content": "$$6x-500$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4882", "queId": "6d75f14a10dd490ca8bb6c32f7cd3a01", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A ball with a mass of 0.15 kg has a velocity of 5 m/s. It strikes a wall perpendicularly and bounces off straight back with a velocity of 3 m/s. The ball underwent a change in momentum equal to ", "answer_option_list": [[{"aoVal": "A", "content": "0.30 kg·m/s "}], [{"aoVal": "B", "content": "1.20 kg·m/s "}], [{"aoVal": "C", "content": "0.15 kg·m/s "}], [{"aoVal": "D", "content": "5 kg·m/s "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4904", "queId": "68fd4044835640558a8fe76710a97cf4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the value of this expression: $$2\\times0\\times0\\times6+2006$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$2006$$ "}], [{"aoVal": "C", "content": "$$2014$$ "}], [{"aoVal": "D", "content": "$$2018$$ "}], [{"aoVal": "E", "content": "$$4012$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4909", "queId": "52a7d96ca0714412ae3de70c1b631f66", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A police officer is using a radar device to check motorists\\textquotesingle{} speeds. Prior to beginning the speed check, the officer estimates that 40 percent of motorists will be driving more than 5 miles per hour over the speed limit. Assuming that the police officer\\textquotesingle s estimate is correct, what is the probability that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.0256$$ "}], [{"aoVal": "B", "content": "$$0.1296$$ "}], [{"aoVal": "C", "content": "$$0.3456$$ "}], [{"aoVal": "D", "content": "$$0.8704$$ "}], [{"aoVal": "E", "content": "$$0.9744$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4916", "queId": "7fb5e32db9ae4062b835f7b91b21e4be", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A furlong is $220$ yards and a mile is $1760$ yards. How many miles are 12 furlongs? ", "answer_option_list": [[{"aoVal": "A", "content": "$$100$$ "}], [{"aoVal": "B", "content": "$$96$$ "}], [{"aoVal": "C", "content": "$$1\\frac23$$ "}], [{"aoVal": "D", "content": "$$1.5$$ "}], [{"aoVal": "E", "content": "$$2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4920", "queId": "7fb841cd66a348f6b415a262b3a7c080", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "If a geometric sequence $$\\textbackslash{a\\_n\\textbackslash}$$ $$n\\geqslant1$$ satisfies the condition $$a\\_{2003}\\textless a\\_{2002}\\textless a\\_{2004}$$ then:　 ", "answer_option_list": [[{"aoVal": "A", "content": "$$a\\_{2003}\\cdot a\\_{2004}\\textgreater0$$ "}], [{"aoVal": "B", "content": "$$a\\_{2002}\\cdot a\\_{2003}\\textless0$$ "}], [{"aoVal": "C", "content": "$$a\\_{2002}\\cdot a\\_{2004}\\textless0$$ "}], [{"aoVal": "D", "content": "$$a\\_{2002}\\cdot a\\_{2003}\\textgreater0$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Geometric Sequences->Whole-number Geometric Sequences"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4923", "queId": "6d8f074c45524ad68b14f1ce48b2f3a3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Teacher Peter writes a long expression $10-9+8-7+6-5+4-3+2-1$. Four kids rewrite the expression in another way. Who is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "Ben: $10+9+8+7+6-5-4-3-2-1$ "}], [{"aoVal": "B", "content": "Bill: $1-2+3-4+5-6+7-8+9-10$ "}], [{"aoVal": "C", "content": "Julie: $2+4+6+8+10-1-3-5-7-9$ "}], [{"aoVal": "D", "content": "Judy: $1+3+5+7+9-2-4-6-8-10$ "}], [{"aoVal": "E", "content": "None of them is correct. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4927", "queId": "df326a0842f4421189d44cb2b96ebed8", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "How many millimetres are there in a metre? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.001$$ "}], [{"aoVal": "B", "content": "$$0.01$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$100$$ "}], [{"aoVal": "E", "content": "$$1000$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4935", "queId": "ccc88eb15498484eb426e64589734396", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is equivalent to $16^{}\\frac{3}{4}$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$64$$ "}], [{"aoVal": "B", "content": "$$32$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4942", "queId": "a37286540c9243c4b6ce5fd1363ef611", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Sam travelled $$\\rm 2400 m$$ from his home to the school. Which of the following is equal to this distance? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\rm 2km$$ $$4 m$$ "}], [{"aoVal": "B", "content": "$$\\rm 2km$$ $$40 m$$ "}], [{"aoVal": "C", "content": "$$\\rm 2km$$ $$400 m$$ "}], [{"aoVal": "D", "content": "$$\\rm 20km$$ $$40 m$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion", "Overseas In-curriculum->Knowledge Point->Measurement->Length->Knowing International Length Units->Conversion of Length Units"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4951", "queId": "7227585374994d5daa33aee223a2a1ad", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate the approximate size of the DWL in this market due to the monopoly ", "answer_option_list": [[{"aoVal": "A", "content": "$15 "}], [{"aoVal": "B", "content": "$3 "}], [{"aoVal": "C", "content": "$1.5 "}], [{"aoVal": "D", "content": "$9 "}], [{"aoVal": "E", "content": "Not enough information "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4957", "queId": "f1b858cbda824db8a3c7a5e7782187a0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is nine million, ninety thousand and nineteen in numeral? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9009019$$ "}], [{"aoVal": "B", "content": "$$9090090$$ "}], [{"aoVal": "C", "content": "$$9090019$$ "}], [{"aoVal": "D", "content": "$$9900090$$ "}], [{"aoVal": "E", "content": "$$9009090$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Knowing Numbers->Whole Numbers->Knowing Numbers Beyond 10000->Reading and Writing Large Numbers ", "Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4958", "queId": "9ee1c97f0c8e4c23918412cbc26c869f", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99 percent confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval? ", "answer_option_list": [[{"aoVal": "A", "content": "$$400$$ "}], [{"aoVal": "B", "content": "$$900$$ "}], [{"aoVal": "C", "content": "$$1300$$ "}], [{"aoVal": "D", "content": "$$1600$$ "}], [{"aoVal": "E", "content": "$$2100$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4959", "queId": "45b15688eb8f49c99b16104199b9d0a1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following commonly used conversion factors cannot be used to convert length units? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{1\\text{km}}{1000\\text{m}}$ "}], [{"aoVal": "B", "content": "$\\frac{1\\text{Ton}}{2000\\text{lb}}$ "}], [{"aoVal": "C", "content": "$\\frac{1\\text{mi}}{1760\\text{yd}}$ "}], [{"aoVal": "D", "content": "$\\frac{1\\text{in}}{2.54\\text{cm}}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4963", "queId": "b5d24078c2774d18b7b4b332d4ecf5d9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$a$ is $25\\textbackslash\\%$ more than $3600$, and b is $20\\textbackslash\\%$ less than $a$. What is the value of $b$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2304$$ "}], [{"aoVal": "B", "content": "$$2880$$ "}], [{"aoVal": "C", "content": "$$3600$$ "}], [{"aoVal": "D", "content": "$$4500$$ "}], [{"aoVal": "E", "content": "$$5625$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4967", "queId": "4e6a90ea9e7744c79a2fcd8eab8cee55", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "6\\times (45-38) ", "answer_option_list": [[{"aoVal": "A", "content": "+/- "}], [{"aoVal": "B", "content": "\\times /\\div "}], [{"aoVal": "C", "content": "（） "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4972", "queId": "7230553894f54d83a9d51d6825f3686a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate: $4231-4123=$~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$100$$ "}], [{"aoVal": "B", "content": "$$108$$ "}], [{"aoVal": "C", "content": "$$105$$ "}], [{"aoVal": "D", "content": "$$107$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4974", "queId": "4a06491f10994a05a89f314a48741a76", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Solve the equation below. $$5x+15=8x-12$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4977", "queId": "45b90c8af1644fbe8cf93efdc1418b1e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these fractions expressions has the \\textbf{largest}~value? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{6}+\\frac{1}{3}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{3}-\\frac{1}{6}$$ "}], [{"aoVal": "C", "content": "$$\\frac{1}{3} \\times \\frac{1}{6}$$ "}], [{"aoVal": "D", "content": "$$\\frac{1}{3} \\div \\frac{1}{6}$$ "}], [{"aoVal": "E", "content": "$$\\frac{1}{6} \\div \\frac{1}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4985", "queId": "4a0feb7c19514cf2a606188ffba91dd1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate: $400 \\times 20 =$~\\uline{~~~~~~~~~~}~$\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde$$60 \\times 30 =$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$6000$; $1800$ "}], [{"aoVal": "B", "content": "$800$; $900$ "}], [{"aoVal": "C", "content": "$800$; $1800$ "}], [{"aoVal": "D", "content": "$8000$; $1800$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4987", "queId": "57483265553f4257935142b854571021", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following statements is false? ", "answer_option_list": [[{"aoVal": "A", "content": "$3.5\\textless\\sqrt{15}\\textless4$ "}], [{"aoVal": "B", "content": "$4\\textless\\sqrt{19}\\textless4.5$ "}], [{"aoVal": "C", "content": "$4.5\\textless\\sqrt{21}\\textless5$ "}], [{"aoVal": "D", "content": "$5.5\\textless\\sqrt{30}\\textless6$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4988", "queId": "8c997b3993eb44d99bebe1d8daf8519c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Leander has a box with fewer than $80$ erasers in it. The erasers can be divided evenly between $2$, $3$, or $4$ children. However, they cannot be divided evenly between $11$ children because $5$ more erasers would be needed. How many erasers are there in the box? ", "answer_option_list": [[{"aoVal": "A", "content": "$$36$$ "}], [{"aoVal": "B", "content": "$$50$$ "}], [{"aoVal": "C", "content": "$$61$$ "}], [{"aoVal": "D", "content": "$$72$$ "}], [{"aoVal": "E", "content": "$$80$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "4989", "queId": "88f118553ae44a64bf95fb53827c86c0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the number pattern below? $$2750$$, $$2950$$, $$2850$$,~\\uline{~~~~~~~~~~}~, $$2950$$, $$3150$$, $$3050$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$2750$$ "}], [{"aoVal": "B", "content": "$$2850$$ "}], [{"aoVal": "C", "content": "$$2950$$ "}], [{"aoVal": "D", "content": "$$3050$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": ["N/A. 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If Eddie goes first, who do you think will win? ", "answer_option_list": [[{"aoVal": "A", "content": "Eddie "}], [{"aoVal": "B", "content": "Vera "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5083", "queId": "7262ea21a5464e4ba8232a88fae9d7ec", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are $25$ questions in a math contest. The testee receives 4 points for each correct answer and loses $2$ points for each problem left unanswered and each incorrect answer. If Irene took part in this test and got a score that is more than $$60$$, she should answer at leastquestions correctly． ", "answer_option_list": [[{"aoVal": "A", "content": "$$16$$ "}], [{"aoVal": "B", "content": "$$17$$ "}], [{"aoVal": "C", "content": "$$18$$ "}], [{"aoVal": "D", "content": "$$19$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5085", "queId": "531e3a4798374d61a28c96455f4c9f45", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "Which of the following pairs of sample size n and population proportion p would produce the greatest standard deviation for the sampling distribution of a sample proportion~$\\overset{\\wedge}{p}$? ", "answer_option_list": [[{"aoVal": "A", "content": "n = 1,000 and p close to 0 "}], [{"aoVal": "B", "content": "n = 1,000 and p close to 1 "}], [{"aoVal": "C", "content": "n = 1,000 and p close to~$\\dfrac{1}{2}$ "}], [{"aoVal": "D", "content": "n = 100 and p close to 0 "}], [{"aoVal": "E", "content": "n = 100 and p close to~$\\dfrac{1}{2}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5087", "queId": "acc3712d32b54c7aba6975eb48ac1aaa", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the following has the same value as $$7\\div\\frac{3}{5}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{7}{1} \\times \\frac{5}{3}$$ "}], [{"aoVal": "B", "content": "$$\\frac{7}{1} \\times \\frac{3}{5}$$ "}], [{"aoVal": "C", "content": "$$\\frac{1}{7} \\times \\frac{3}{5}$$ "}], [{"aoVal": "D", "content": "$$\\frac{1}{7} \\times \\frac{5}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["\\hspace{0pt}N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5090", "queId": "ba810aa1530e428ebd2b7b8bce92c8ad", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "A meter shows that a household uses $6$p of electricity per hour from $00:00$ to $07:00$, $8$p of electricity per hour from $07:00$ to $16:00$, $10$p of electricity per hour from $16:00$ to $00:00$. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$73963$$ "}], [{"aoVal": "B", "content": "$$73853$$ "}], [{"aoVal": "C", "content": "$$73953$$ "}], [{"aoVal": "D", "content": "$$74953$$ "}], [{"aoVal": "E", "content": "$$74963$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5097", "queId": "acc6474e7d014f4ab6869aae76087f71", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The length of a sheet of paper is $12.5$ inches. What is this length in centimeters ? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5102", "queId": "80001b77d5874a51b4ff862853cb99aa", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The average of two numbers is $$38$$. When a third number is added, the average of the three numbers is $$40$$. Find the third number. ", "answer_option_list": [[{"aoVal": "A", "content": "$$39$$ "}], [{"aoVal": "B", "content": "$$42$$ "}], [{"aoVal": "C", "content": "$$44$$ "}], [{"aoVal": "D", "content": "$$82$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions", "Overseas In-curriculum->Knowledge Point->Data->Data Analysis->Mean->Application the Mean"], "answer_analysis": ["N/A. 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How many sweets can Avril buy for 56p?~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5131", "queId": "a840f3b9d01242ef9e92a2036ba306b1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is equivalent to $\\sqrt[3]{a^{2}} \\cdot a^{}\\frac{1}{2}$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$a^{}\\frac{7}{6}$ "}], [{"aoVal": "B", "content": "$a^{}\\frac{1}{3}$ "}], [{"aoVal": "C", "content": "$a^{2}$ "}], [{"aoVal": "D", "content": "$a^{}\\frac{4}{9}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5137", "queId": "bf2c316dc0ff483f838ff0287e72f61e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If $2x+3y=1$, what is $9^{}x \\cdot 27^{}y$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$27$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5139", "queId": "65074380ffd84e88902cff2bc18a6ecc", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "$\\frac{3a}{5}+\\frac{2b}{5}-\\frac{a}{2}$ =~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{1}{2}a$ "}], [{"aoVal": "B", "content": "$a+\\frac{2}{5}b$ "}], [{"aoVal": "C", "content": "$\\frac{1}{10}a+\\frac{2}{5}b$ "}], [{"aoVal": "D", "content": "$\\frac{5}{3}a$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5142", "queId": "95f498a0f4f641cea5b80fc0fadd7e69", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the next number in the sequence below? 7, 8, 6, 9, 5, 10, $\\cdots $ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5143", "queId": "d627c2e19b0942c2a00d8626cc31582e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following has the same value as $$\\frac{2}{9}\\div\\frac{3}{5}$$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5159", "queId": "57c59addec2841f08cba8a2216b1d4da", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Express $$0.\\dot{2}1\\dot{0}$$ as a fraction. ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{70}{333}$ "}], [{"aoVal": "B", "content": "$\\dfrac{21}{99}$ "}], [{"aoVal": "C", "content": "$\\dfrac{21}{999}$ "}], [{"aoVal": "D", "content": "$\\dfrac{7}{333}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5166", "queId": "c3c9bb1025b74989b402204d51ec8a1c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the mode of these numbers? $1, 1, 1, 2, 3, 4, 6$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$1$$ "}], [{"aoVal": "D", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5167", "queId": "7293e73c0ed646e38d97c2bcdaf374f4", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A car is traveling at a speed of 30 m/s. If the car decelerates uniformly at a rate of 5 m/s^{2} for a distance of 80 meters, what is its final speed? ", "answer_option_list": [[{"aoVal": "A", "content": "5 m/s "}], [{"aoVal": "B", "content": "10 m/s "}], [{"aoVal": "C", "content": "20 m/s "}], [{"aoVal": "D", "content": "30 m/s "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5173", "queId": "d62f3fc2c53a48afad8f689b22fd3a2c", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$$5$$+$$19$$ is the same as~\\uline{~~~~~~~~~~}~+$$7$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$24$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$17$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5175", "queId": "bf3815c891e440eaa27c1b445dac099d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many $$10\\text{p}$$ coins can I get for £$$1.80$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ coins "}], [{"aoVal": "B", "content": "$$18$$ coins "}], [{"aoVal": "C", "content": "$$88$$ coins "}], [{"aoVal": "D", "content": "$$108$$ coins "}], [{"aoVal": "E", "content": "$$180$$ coins "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5179", "queId": "57d36fd06c744c55abaa024d4a9a97db", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What number is half way between $$3.5$$ and $$6.9$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4.7$$ "}], [{"aoVal": "B", "content": "$$5.5$$ "}], [{"aoVal": "C", "content": "$$4.9$$ "}], [{"aoVal": "D", "content": "$$5.7$$ "}], [{"aoVal": "E", "content": "$$5.2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Knowing Decimals"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5185", "queId": "69a313a987a044a7bdc08c767494b804", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "SASMO 2018 A mother gave the same number of cheese sticks to each of her 4 children--- Wendy, Xander, Yasmin and Zane. Wendy gave half of her cheese sticks to Yasmin, then Yasmin gave 2 to Xander. After that, Zane gave 3 to Yasmin. In the end, Yasmin had 10 cheese sticks. What was the total number of cheese sticks that the mother gave to her 4 children? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$18$$ "}], [{"aoVal": "E", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5195", "queId": "9aa0bb512f0f47e38f91ec443bbde4ec", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate~$\\dfrac{1}{6}+\\dfrac{5}{12}=$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\dfrac{2}{12}$$ "}], [{"aoVal": "B", "content": "$$\\dfrac{7}{24}$$ "}], [{"aoVal": "C", "content": "$$\\dfrac{7}{12}$$ "}], [{"aoVal": "D", "content": "$$\\dfrac{1}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Addition and Subtraction of Fractions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5201", "queId": "69afb5a72bba4e2c9e5d89f227e23b15", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In a park there are 15 animals: cows, cats, and kangaroos. We know that precisely 10 are not cows and precisely 8 are not cats. How many kangaroos are there in the park? (2019 Math Kangaroo Problem, Level 3-4, Question \\#21) ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5202", "queId": "6539d97695e24767abab9b6a01099344", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Stamps cost $0.65$p each. How many stamps can Peter purchase with a £$5$ note? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5206", "queId": "e408ef2d94574c5d9de828ee7ed5e045", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which one is not equal to $3\\times5$~？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$5+5+5$$ "}], [{"aoVal": "B", "content": "$$5+3$$ "}], [{"aoVal": "C", "content": "$5\\times3$ "}], [{"aoVal": "D", "content": "$$3+3+3+3+3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5210", "queId": "5c57dfff497345b1ab529cdedc7a2e7f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Pauline has $2$ erasers, $3$ notebooks, $1$ carrot, $5$ toy cars, $7$ fans, and $3$ bowls. How many pieces of stationeries does Pauline have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5211", "queId": "baa840e101f947d191bb0167b8b6e246", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The caffeine content of 8-ounce cans of a certain cola drink is approximately normally distributed with mean 33 milligrams (mg). A randomly selected 8-ounce can containing 35 mg of caffeine is 1.2 standard deviations above the mean. Approximately what percent of 8-ounce cans of the cola have a caffeine content greater than 35 mg? ", "answer_option_list": [[{"aoVal": "A", "content": "1\\% "}], [{"aoVal": "B", "content": "8\\% "}], [{"aoVal": "C", "content": "12\\% "}], [{"aoVal": "D", "content": "16\\% "}], [{"aoVal": "E", "content": "99\\% "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5214", "queId": "69b908fa1c37481eb36cfb9fbaf4a523", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The digit $9$ in which number represents a value of $0.09$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9.013$$ "}], [{"aoVal": "B", "content": "$$0.689$$ "}], [{"aoVal": "C", "content": "$$21.9$$ "}], [{"aoVal": "D", "content": "$$62.89$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5216", "queId": "bf462f56b81649b996a17bacd7138ab9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which one is the smallest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{17}{23}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{9}$$ "}], [{"aoVal": "C", "content": "$$\\frac{13}{19}$$ "}], [{"aoVal": "D", "content": "$$\\frac{61}{67}$$ "}], [{"aoVal": "E", "content": "$$\\frac{1}{7}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5219", "queId": "72b787f939bb4cd79c526cce2c6d1f8e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A watermelon weighs as much as three apples, and one apple weighs as much as three strawberries. How many strawberries weigh the same as one watermelon? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5221", "queId": "9aab5965ced94004955d60d6e7ac5e63", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Fountain X has $245$ ℓ of water. Fountains X and Y have $600$ ℓ of water altogether. How much water does Fountain Y have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$355$$ ℓ "}], [{"aoVal": "B", "content": "$$465$$ ℓ "}], [{"aoVal": "C", "content": "$$555$$ ℓ "}], [{"aoVal": "D", "content": "$$565$$ ℓ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5223", "queId": "8957669da0c3446b9a595c9a8f8af24c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the following number pattern? $$3296$$, $$3316$$, $$3216$$, $$3236$$, $$3136$$,~\\uline{~~~~~~~~~~}~$$3056$$, $$3076$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$3016$$ "}], [{"aoVal": "B", "content": "$$3036$$ "}], [{"aoVal": "C", "content": "$$3156$$ "}], [{"aoVal": "D", "content": "$$3236$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5228", "queId": "72bba3a246a643008989eb456358de62", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The mass of a crate with $$8$$ glass bottles is $$\\text{4450 g}$$. The mass of the same crate and $$5$$ glass bottles is $$\\text{3100 g}$$. Find the mass of the empty crate. ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\text{450 g}$$ "}], [{"aoVal": "B", "content": "$$\\text{850 g}$$ "}], [{"aoVal": "C", "content": "$$\\text{1350 g}$$ "}], [{"aoVal": "D", "content": "$$\\text{250 g}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5232", "queId": "5803850ff80b4664881ff636fa1c0227", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate: $10 \\times 10 =$~\\uline{~~~~~~~~~~}~$\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde$$200 \\times 10 =$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$100$; $2000$ "}], [{"aoVal": "B", "content": "$10$; $2000$ "}], [{"aoVal": "C", "content": "$100$; $200$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5236", "queId": "654f9361dbb942ab9e7ee124d33be081", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$49, 38, 27, 16, 5,\\dots$ Which number comes next in the sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$-14$$ "}], [{"aoVal": "B", "content": "$$-4$$ "}], [{"aoVal": "C", "content": "$$-11$$ "}], [{"aoVal": "D", "content": "$$-5$$ "}], [{"aoVal": "E", "content": "$$-6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5241", "queId": "cd0c273df7f3420a8d4ad937255966ef", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Given that: ~$6\\Omega3=6-5+4=5$; ~$9\\Omega5=9-8+7-6+5=7$; $10\\Omega6=10-9+8-7+6-5=3$ What is the value of~$12\\Omega8$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5255", "queId": "91972f68db9a4a0299427b936e5217f9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers can be divided by $2$, $4$ and $6$ exactly with no remainder? ", "answer_option_list": [[{"aoVal": "A", "content": "$$32$$ "}], [{"aoVal": "B", "content": "$$42$$ "}], [{"aoVal": "C", "content": "$$48$$ "}], [{"aoVal": "D", "content": "$$64$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5265", "queId": "6e4db67121a64e0190b5d1f475c3052d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Tony has $44$ shoes. He has $11$ more sneakers than boots. Which equation represents this situation? ", "answer_option_list": [[{"aoVal": "A", "content": "$a+(a+11)=44$, where $a$ is the number of sneakers "}], [{"aoVal": "B", "content": "$a+(a-11)=44$, where $a$ is the number of sneakers "}], [{"aoVal": "C", "content": "$a+11a=44$, where $a$ is the number of boots "}], [{"aoVal": "D", "content": "$a+(a-11)=44$, where $a$ is the number of boots "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5272", "queId": "ed4c2c7bd4a9411a96cf3695d3df23fb", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Based on the information provided in the chart above, which correlational coefficient best represents the relationship between the test score and time spent? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$0.25$$ "}], [{"aoVal": "C", "content": "$$0.75$$ "}], [{"aoVal": "D", "content": "$$-0.25$$ "}], [{"aoVal": "E", "content": "$$-0.75$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5274", "queId": "5c7cac15a30d40ae8d9a1666a30686a3", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "A lizard is $20\\rm cm$ in length. The lizard can walk $1.5$ times its own length every second. How long would it take the lizard to walk $36\\rm m$? ", "answer_option_list": [[{"aoVal": "A", "content": "$2\\textasciitilde\\rm minutes$ "}], [{"aoVal": "B", "content": "$20\\textasciitilde\\rm seconds$ "}], [{"aoVal": "C", "content": "$40\\textasciitilde\\rm seconds$ "}], [{"aoVal": "D", "content": "$20\\textasciitilde\\rm minutes$ "}], [{"aoVal": "E", "content": "$1\\textasciitilde\\rm minute$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5275", "queId": "69d723eb7cd44ad6a973e699a230ed5a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Two satellites are in circular orbits around Earth. Satellite A has speed $v\\_{A}$. Satellite B has an orbital radius nine times that of satellite A. What is the speed of satellite B? ", "answer_option_list": [[{"aoVal": "A", "content": "$v\\_{A}$/9 "}], [{"aoVal": "B", "content": "$v\\_{A}$/3 "}], [{"aoVal": "C", "content": "3$v\\_{A}$ "}], [{"aoVal": "D", "content": "9$v\\_{A}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5278", "queId": "dadeaf3c8f474e7fa35e9b0ea6cdc50d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "From 1990 to 2001, German currency included coins called $pfennigs$, worth 1 pfennig each, and $groschen$, worth 10 pfennigs each. Which equation represents the number of pfennig coins, $p$, and groschen coins, $g$, that have a combined value of $85$ pfennigs? ", "answer_option_list": [[{"aoVal": "A", "content": "$p+g=85$ "}], [{"aoVal": "B", "content": "$p+10g=85$ "}], [{"aoVal": "C", "content": "$10p+g=85$ "}], [{"aoVal": "D", "content": "$10(p+g)=85$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5281", "queId": "84df3d1cf138423da554afd47a5cb7b0", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "To calculate the area of a rectangle with a length of $$7$$ and a breadth of $$5$$, we can use $$7\\times 5$$. Therefore, the formula for the area of a rectangle can be summarised as:． ", "answer_option_list": [[{"aoVal": "A", "content": "Area of rectangle $$=$$ breadth $$\\times $$ breadth "}], [{"aoVal": "B", "content": "Area of rectangle $$=$$ length $$\\times $$ length "}], [{"aoVal": "C", "content": "Area of rectangle $$=$$ length $$\\times $$ breadth "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Geometry Modules->Objects with Straight Sides->Knowing Graphs"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5282", "queId": "5825543b7220482c99b359c83e94035c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The best way to write the product of $z$ and $-1$ is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$-1$$ "}], [{"aoVal": "B", "content": "z "}], [{"aoVal": "C", "content": "$-1z$ "}], [{"aoVal": "D", "content": "$-z$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5283", "queId": "60f99c356cc644dda955dd3c5011c998", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is $$\\frac{7}{9}+\\frac{1}{9}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{7}{18}$$ "}], [{"aoVal": "B", "content": "$$\\frac{8}{18}$$ "}], [{"aoVal": "C", "content": "$$\\frac{8}{9}$$ "}], [{"aoVal": "D", "content": "$$\\frac{1}{9}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5285", "queId": "b197d0ec88de44b3be75d167bedf24d5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "（$$2017$$ Nanyang Primary School, First Semestral Examination, Primary Three, Question \\#$$9$$) Study the number pattern below. $$\\boxed{4168}$$,~ $$\\boxed{4318}$$,~ $$\\boxed{4468}$$,~ $$\\boxed{4618}$$,~ $$\\boxed{?}$$,~ $$\\boxed{4918}$$ What is the missing number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4518$$ "}], [{"aoVal": "B", "content": "$$4718$$ "}], [{"aoVal": "C", "content": "$$4768$$ "}], [{"aoVal": "D", "content": "$$4868$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5288", "queId": "d1b05e70adda40d0a98bc4dbc7996228", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "At a large conference of teachers from a variety of subjects, a random sample of 50 mathematics teachers attending the conference was selected. Among the selected mathematics teachers, 28 percent had taken one or more courses in statistics. For which of the following populations is 28 percent a reasonable estimate of the percentage of those who have taken one or more courses in statistics? ", "answer_option_list": [[{"aoVal": "A", "content": "All mathematics teachers "}], [{"aoVal": "B", "content": "All mathematics teachers who attended the conference "}], [{"aoVal": "C", "content": "All mathematics teachers who have taken one or more courses in statistics "}], [{"aoVal": "D", "content": "All teachers who attended the conference "}], [{"aoVal": "E", "content": "All teachers "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5305", "queId": "776559d924c641e2a5a9a2cbe192a2d0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$876\\times543$ ", "answer_option_list": [[{"aoVal": "A", "content": "$475668$ "}], [{"aoVal": "B", "content": "$475662$ "}], [{"aoVal": "C", "content": "$475620$ "}], [{"aoVal": "D", "content": "$475658$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5306", "queId": "dae7590362474efd8213cad7e4050e53", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$36, 64, 80, 96, 108$ Which number is the only multiple of $8$ and $12$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$$$1000$$$$ "}], [{"aoVal": "B", "content": "10 000 "}], [{"aoVal": "C", "content": "100 000 "}], [{"aoVal": "D", "content": "1 000 000 "}], [{"aoVal": "E", "content": "75 200 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Move the Decimal Point to Change a Number’s Value"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5317", "queId": "8d27781aabd54284b19d7bdcbf18600d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate $$836 \\times 99$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$82764$$ "}], [{"aoVal": "B", "content": "$$74404$$ "}], [{"aoVal": "C", "content": "$$83764$$ "}], [{"aoVal": "D", "content": "$$75404$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5338", "queId": "91be0ba1ac8d465ca84512ade6761073", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Is~$\\dfrac{2}{3}$~a rational number? ", "answer_option_list": [[{"aoVal": "A", "content": "Yes "}], [{"aoVal": "B", "content": "No "}], [{"aoVal": "C", "content": "Not sure "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5339", "queId": "6a0adbc4108840a99b3f85556c65a18c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Grace went out to the yard and called all her cats, hens and kids. All $25$ heads ran to her. There were three times as many legs as tails and more kids than cats. How many cats did Grace have? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$36$$ "}], [{"aoVal": "B", "content": "$$37$$ "}], [{"aoVal": "C", "content": "$$38$$ "}], [{"aoVal": "D", "content": "$$39$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5352", "queId": "613316e94236432a8b7f189fe7b27762", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$(2)\\textbackslash{} 1.5\\div3=$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.5$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$50$$ "}], [{"aoVal": "D", "content": "$$0.05$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5353", "queId": "ad1f9e8a8db44b2db31a4924419fbc48", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "lf $$X:Y=2:7$$ and $$Z:X=4:3$$, what is $$X+Z:Y$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2:3$$ "}], [{"aoVal": "B", "content": "$$2:7$$ "}], [{"aoVal": "C", "content": "$$3:2$$ "}], [{"aoVal": "D", "content": "$$3:4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"], "answer_analysis": ["N/A.　 "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5355", "queId": "6134d83dcbe34c85846fa676118bbb6d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following does not contain a constant? ", "answer_option_list": [[{"aoVal": "A", "content": "$3x-2$ "}], [{"aoVal": "B", "content": "$2x+\\frac{\\pi}{2}$ "}], [{"aoVal": "C", "content": "$$4a+\\frac{3}{b}$$ "}], [{"aoVal": "D", "content": "$51$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5357", "queId": "cd2a503e556b4ff7910de2bd1619b8b8", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "$$2+0+0+8=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"], "answer_analysis": ["N/A. 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The range of this distribution is ", "answer_option_list": [[{"aoVal": "A", "content": "$ 75,000 "}], [{"aoVal": "B", "content": "$ 50,000 "}], [{"aoVal": "C", "content": "$ 25,000 "}], [{"aoVal": "D", "content": "$ 20,000 "}], [{"aoVal": "E", "content": "$ 15,000 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5366", "queId": "6e96c6b3f2e6409e88f96a1fb3ad3b0e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$\\frac{3}{14}+\\frac{4}{14}=$~\\uline{~~~~~~~~~~}~. (Simplify your answer) ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{7}{28}$ "}], [{"aoVal": "B", "content": "$\\frac{1}{4}$ "}], [{"aoVal": "C", "content": "$\\frac{7}{14}$ "}], [{"aoVal": "D", "content": "$\\frac{1}{2}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5367", "queId": "a402a7b885b74f8484e90ebd7ef8ce09", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "What is the value of~$1+3+5+7+\\cdot\\cdot\\cdot+2017+2019-2-4-6-\\cdot\\cdot\\cdot-2016-2018?$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$-1010$$ "}], [{"aoVal": "B", "content": "$$-1009$$ "}], [{"aoVal": "C", "content": "$$1008$$ "}], [{"aoVal": "D", "content": "$$1009$$ "}], [{"aoVal": "E", "content": "$$1010$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5373", "queId": "7c0f6d05ad7a47dc90cecca6430c541a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Study the pattern below carefully and find the missing number. $$ 0 7\\textasciitilde1 5$$, $$ 0 7\\textasciitilde3 5$$, $$ 0 8\\textasciitilde{} 0 5$$, $$ 0 8\\textasciitilde4 5$$, $$ 0 9\\textasciitilde3 5$$,~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$ 0 9\\textasciitilde5 5$$ "}], [{"aoVal": "B", "content": "$$ 0 9\\textasciitilde7 5$$ "}], [{"aoVal": "C", "content": "$$ 1 0\\textasciitilde3 5$$ "}], [{"aoVal": "D", "content": "$$ 1 0\\textasciitilde4 5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5374", "queId": "daf8cd2301c8434595485f5a75be9175", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$(21\\times55)+20=1175$$ is a correct calculation. Which one of the following calculations is INCORRECT? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1175-20=21\\times55$$ "}], [{"aoVal": "B", "content": "$$21\\times (55+20)=1175$$ "}], [{"aoVal": "C", "content": "$$20=1175-(21\\times55)$$ "}], [{"aoVal": "D", "content": "$$(21\\times55)+21=1176$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5382", "queId": "9660389d7396443b8a82bd0eed704218", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Nina and Nora went to buy some stationeries. Nina bought $4$ notebooks, $5$ rulers and $3$ pens. Nora bought $6$ notebooks, $7$ rulers and $1$ pen. How many more pieces of stationeries did Nora buy than Nina? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5384", "queId": "dafba16f20284e6ba3fe9b518097ff4b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$2$ potatoes, $3$ peas and $1$ tomato together weigh $18$ lbs. One pea and one tomato together weigh $8$ lbs. $2$ potatoes and $1$ pea together weigh $2$ lbs more than one pea and one tomato weigh together. Each potato weighs the same and each pea weigh the same. How much does one potato weigh? ", "answer_option_list": [[{"aoVal": "A", "content": "$2$ lbs "}], [{"aoVal": "B", "content": "$3$ lbs "}], [{"aoVal": "C", "content": "$4$ lbs "}], [{"aoVal": "D", "content": "$5$ lbs "}], [{"aoVal": "E", "content": "$6$ lbs "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5386", "queId": "61528bcc420c488aa7e18e1cac86b670", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The ones digit of $5^{2023}+11^{2023}$ is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5389", "queId": "91d77c87cfde4931978093d61d9dc254", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Jane goes shopping. She spends half her money in the supermarket. She then spends one third of what she has left in a coffee bar. Finally, Jane returns home in a taxi that costs her £$8$. If Jane has £$12$ left, how much money did she start with? ", "answer_option_list": [[{"aoVal": "A", "content": "£$$48$$ "}], [{"aoVal": "B", "content": "£$$60$$ "}], [{"aoVal": "C", "content": "£$$72$$ "}], [{"aoVal": "D", "content": "£$$36$$ "}], [{"aoVal": "E", "content": "£$$54$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5391", "queId": "dafd71ecb4b942c881c23256e7d4be88", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following inequalities is always true? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3-x\\geqslant 0$$ "}], [{"aoVal": "B", "content": "$$\\textbar x\\textbar\\leqslant 0$$ "}], [{"aoVal": "C", "content": "$$-1\\textless0$$ "}], [{"aoVal": "D", "content": "$$a-a\\textless0$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5399", "queId": "b65440a0b29b423d806549105977ce8c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\frac{1}{3}+\\square =\\frac{3}{4}$$ What is the missing fraction in the box? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{4}{7}$$ "}], [{"aoVal": "B", "content": "$$\\frac{5}{7}$$ "}], [{"aoVal": "C", "content": "$$\\frac{5}{12}$$ "}], [{"aoVal": "D", "content": "$$\\frac{2}{1}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5402", "queId": "65cdb16ec93a4321846e7bab730e7e50", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Elma took $$2$$ candy bars to school. First, she traded each of them for $$4$$ apples, and then she traded each of the apples for $$3$$ mandarin oranges. How many mandarin oranges did she have after all the trading? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2+4+3$$ "}], [{"aoVal": "B", "content": "$$2\\times4+3$$ "}], [{"aoVal": "C", "content": "$$2+4\\times3$$ "}], [{"aoVal": "D", "content": "$$2\\times4\\times3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Object Substitution"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5404", "queId": "9af50a5021ba451ca9b6cffe6b4ccac6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Peter has $15$ dollars and $80$ cents. Two pencils cost $3.80$ dollars, and one ruler is $70$ cents cheaper than one pencil. After buying one pencil and two rulers, how much does he have left? ", "answer_option_list": [[{"aoVal": "A", "content": "$11.5.$ dollars "}], [{"aoVal": "B", "content": "$10.5.$ dollars "}], [{"aoVal": "C", "content": "$10.8.$ dollars "}], [{"aoVal": "D", "content": "$12.7.$ dollars "}], [{"aoVal": "E", "content": "$9.5.$ dollars "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5405", "queId": "8524c329889143f7b31225731f038a3a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the value of $(2\\times10^{3})\\times (3\\times10^{2})$? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$6\\times 10^{6}$ "}], [{"aoVal": "B", "content": "$6\\times 10^{5}$ "}], [{"aoVal": "C", "content": "$5\\times 10^{6}$ "}], [{"aoVal": "D", "content": "$5\\times 10^{5}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5408", "queId": "6162b84791634409ac6c2e86e484ab7f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number when rounded to the nearest tenth is $$4.0$$. Which of the following is the original number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3.898$$ "}], [{"aoVal": "B", "content": "$$3.945$$ "}], [{"aoVal": "C", "content": "$$4.046$$ "}], [{"aoVal": "D", "content": "$$4.196$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5411", "queId": "966c3acd232d46a2a53cf1f01ac3ebc8", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Let $$a\\square b=a(b+3)-4b$$ for any real numbers $$a$$, $$b$$. The solution of the equation $$8\\square 5=6\\square x$$ is:． ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$13$$ "}], [{"aoVal": "E", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Unknowns Using the Given Operations"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5418", "queId": "7c2a19f398cf4aa899a86d8561c8d443", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "MIchael had several books. He sold half of them, and then he bought $20$ books. Finally the number of his books wasn\\textquotesingle t changed. How many books did he have at first? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$40$$ "}], [{"aoVal": "D", "content": "$$50$$ "}], [{"aoVal": "E", "content": "$$60$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5419", "queId": "6eba97348d04499fb91560a3c26e9b39", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A number when rounded off to the nearest ten has a value of $$400$$. What could be the number?． ", "answer_option_list": [[{"aoVal": "A", "content": "$$390$$ "}], [{"aoVal": "B", "content": "$$395$$ "}], [{"aoVal": "C", "content": "$$405$$ "}], [{"aoVal": "D", "content": "$$409$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5420", "queId": "b1c6e678f1e54a4eb6f7a3ade69128a6", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following is the correct expression of $0.4666\\dots$? ", "answer_option_list": [[{"aoVal": "A", "content": "$0.4\\dot{6}\\dot{6}$ "}], [{"aoVal": "B", "content": "$0.4\\dot{6}$ "}], [{"aoVal": "C", "content": "$0.466\\dot{6}$ "}], [{"aoVal": "D", "content": "$0.\\dot{4}\\dot{6}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5425", "queId": "c8abdd1468de48ecbc8b0b08bcc140d4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following fraction is the largest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{7}{12}$$ "}], [{"aoVal": "B", "content": "$$\\frac{5}{8}$$ "}], [{"aoVal": "C", "content": "$$\\frac{1}{2}$$ "}], [{"aoVal": "D", "content": "$$\\frac{3}{4}$$ "}], [{"aoVal": "E", "content": "$$\\frac{11}{24}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5429", "queId": "e8d5865f4fff4e27adb8d0cf061a1791", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I am making a scale model of a ship, which is 120m long. If the scale is 1:400, how long will the model yacht be (in cm)? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3\\text{m}$$ "}], [{"aoVal": "B", "content": "$$3 \\text{cm}$$ "}], [{"aoVal": "C", "content": "$$30\\text{cm}$$ "}], [{"aoVal": "D", "content": "$$0.03 \\text{m}$$ "}], [{"aoVal": "E", "content": "$$300\\text{cm}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5431", "queId": "a41bfd381a5d45fe80eff5dbd474567d", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which one of the following expressions has the same result as~$43.23\\div7.2$? ", "answer_option_list": [[{"aoVal": "A", "content": "$4323\\div72$ "}], [{"aoVal": "B", "content": "$4.323\\div7.2$ "}], [{"aoVal": "C", "content": "$432.3\\div7.2$ "}], [{"aoVal": "D", "content": "$432.3\\div72$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5433", "queId": "733acb28ce5d4627971030ad6eab0f4d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If Coke makes the Bill Cosby ad and Pepsi makes no ad then what is Pepsi's payoff? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5436", "queId": "fb5304e3c34f49baa98fe94d04f4ba00", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I buy $6$ packets of crisps from the $98$p store where everything costs $98$p.Howmuch change do I get from￡$10$？ ", "answer_option_list": [[{"aoVal": "A", "content": "￡$4.12$ "}], [{"aoVal": "B", "content": "￡$5.94$ "}], [{"aoVal": "C", "content": "￡$5.88$ "}], [{"aoVal": "D", "content": "$98$p "}], [{"aoVal": "E", "content": "￡$6.98$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Fast Multiplication and Division of Decimals"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5440", "queId": "f2106de63aab41958f2a0a2f50e3c784", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Study the number pattern below. What is the missing number in the pattern? $$1015$$, $$1025$$, $$1045$$, $$1075$$,~\\uline{~~~~~~~~~~}~, $$1165$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1085$$ "}], [{"aoVal": "B", "content": "$$1095$$ "}], [{"aoVal": "C", "content": "$$1105$$ "}], [{"aoVal": "D", "content": "$$1115$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5447", "queId": "9b0634fdaf684e6598a2cf703f991556", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A lot of babies were born in the zoo last year: two baby tigers, three baby whales and four baby parrot. How many legs do all these babies have altogether? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$14$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5466", "queId": "db0f527d0c974f938407661b51bede72", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Two friends, Andy and Bob, participate in a game of bowling every week. From past experiences, it is known that both friends \\textquotesingle scores are approximately normally distributed, where Andy has a mean score of 150 with a standard deviation of 30, and Bob has a mean score of 165 with a standard deviation of 15. Assuming that their scores are independent, which of the following values is closest to the probability that Andy will have a greater score than Bob in single game? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.16$$ "}], [{"aoVal": "B", "content": "$$0.28$$ "}], [{"aoVal": "C", "content": "$$0.31$$ "}], [{"aoVal": "D", "content": "$$0.33$$ "}], [{"aoVal": "E", "content": "$$0.37$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5471", "queId": "9b1328b29a884a778b176fd0c87dc7aa", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "You are going to create a 95\\% confidence interval fora population proportion and want the margin of error to be no more than 0.05. Historical data indicate that the population proportionis about 0.7. What is the minimum size random sample you need to construct this interval? ", "answer_option_list": [[{"aoVal": "A", "content": "$$385$$ "}], [{"aoVal": "B", "content": "$$322$$ "}], [{"aoVal": "C", "content": "$$274$$ "}], [{"aoVal": "D", "content": "$$275$$ "}], [{"aoVal": "E", "content": "$$323$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5473", "queId": "b1dc7f3f6536469996bc81b6e78380ff", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following is a correct unit for acceleration? ", "answer_option_list": [[{"aoVal": "A", "content": "$m/s$ "}], [{"aoVal": "B", "content": "$m/s^{2}$ "}], [{"aoVal": "C", "content": "$m/s^{3}$ "}], [{"aoVal": "D", "content": "$m/s^{4}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5476", "queId": "b66b7eb946184feabf6d8018d6cb193d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$3a-a=$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$2a$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5477", "queId": "7c502719f3fd4484829c8610109b4e2b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the missing number in~ the pattern~ below? $$1$$, $$1$$, $$2$$, $$3$$, $$5$$, $$8$$, ?, $$21$$, $$34$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$13$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5478", "queId": "6609238653ae46639dd6f0c95a7bfe1a", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A shopkeeper sold 101 pineapples in a day. The pineapples sold in the afternoon is 31 more than the pineapples sold in the morning. How many pineapples were sold in the afternoon? ", "answer_option_list": [[{"aoVal": "A", "content": "$$35$$ "}], [{"aoVal": "B", "content": "$$49$$ "}], [{"aoVal": "C", "content": "$$66$$ "}], [{"aoVal": "D", "content": "$$70$$ "}], [{"aoVal": "E", "content": "$$75$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5479", "queId": "cd4cb8207ec74eac8f621ce0991dc703", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Decrease £$4$4 by $10\\textbackslash\\%$ ", "answer_option_list": [[{"aoVal": "A", "content": "£$39.60$ "}], [{"aoVal": "B", "content": "£$4.40$ "}], [{"aoVal": "C", "content": "£$48.40$ "}], [{"aoVal": "D", "content": "£$34$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5480", "queId": "9b183a340e924e6da8862f962cd56208", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "I am thinking of two numbers. Their common factors are only $$1$$ and $$2$$. Their first (lowest) common multiple is $$12$$. If one of the numbers is $$6$$, what is the other number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5481", "queId": "8d7aa85e0bed4729a68c98edf20ba30e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Geena had $$8y$$ paper clips. She used $$4$$ paper clips and gave the rest to her friends, Megan and Bryan. Megan received twice as many paper clips as Bryan. Find the number of paper clips Bryan received in terms of $$y$$.． ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{8y-4}{2}$$ "}], [{"aoVal": "B", "content": "$$\\frac{8y-4}{3}$$ "}], [{"aoVal": "C", "content": "$$\\frac{16y-8}{2}$$ "}], [{"aoVal": "D", "content": "$$\\frac{16y-8}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5482", "queId": "8d7b96bc558345989b1a245db00b413f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Taylor buys two hats that cost £$7.15$ each. How much change does Taylor receive from a £$20$ note? ", "answer_option_list": [[{"aoVal": "A", "content": "£$6.70$ "}], [{"aoVal": "B", "content": "£$5.70$ "}], [{"aoVal": "C", "content": "£$12.85$ "}], [{"aoVal": "D", "content": "£$14.30$ "}], [{"aoVal": "E", "content": "£$8.70$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5486", "queId": "73627f4ab32d4a258f7aefe8a161d898", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$$39\\times 999=$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$38961$$ "}], [{"aoVal": "B", "content": "$$38999$$ "}], [{"aoVal": "C", "content": "$$38981$$ "}], [{"aoVal": "D", "content": "$$39910$$ "}], [{"aoVal": "E", "content": "$$39995$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5489", "queId": "6a7adb7737e744f2a8841db0cf9c2a66", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The numbers in each of the three brackets follow the same rule. Find the missing number. $$\\left[10, 50, 15 \\right]\\textasciitilde\\textasciitilde\\left[37, 120, 23 \\right]\\textasciitilde\\textasciitilde\\left[16, 56, ?\\right]$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Filling Sequences according to the Patterns"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5491", "queId": "b1e3e62352044b1ea4f5152d3fab20c5", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Round 713 675 to the nearest hundred. ", "answer_option_list": [[{"aoVal": "A", "content": "714 000 "}], [{"aoVal": "B", "content": "713 700 "}], [{"aoVal": "C", "content": "713 680 "}], [{"aoVal": "D", "content": "713 670 "}], [{"aoVal": "E", "content": "713 600 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Rounding Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5494", "queId": "7c5e38bc87b04d088f0ea50f8edd16b1", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "My friend Sanjay is making a scale model of the London Ear (a famous landmark in London). The London Ear is 80m tall and his model is 150cm tall. What is the scale of the model, in its simplest form? ", "answer_option_list": [[{"aoVal": "A", "content": "8:15 "}], [{"aoVal": "B", "content": "15:8 "}], [{"aoVal": "C", "content": "3:160 "}], [{"aoVal": "D", "content": "3:16 "}], [{"aoVal": "E", "content": "80:15 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"], "answer_analysis": [" "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5500", "queId": "6efca7755f89491b9b8c5cb08c600ba0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Divide $$6$$ by $$7$$. Round your answer to the nearest tenth. ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.8$$ "}], [{"aoVal": "B", "content": "$$0.9$$ "}], [{"aoVal": "C", "content": "$$1.1$$ "}], [{"aoVal": "D", "content": "$$1.2$$ "}], [{"aoVal": "E", "content": "$$1.4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals", "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication and Division of Decimals->Division of Decimals->Approximate Numbers of Quotients in Decimal Division"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5502", "queId": "a43e23da6f3d430fb4d20bb6d42fb6ff", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Mom divides 8 cupcakes into 3 kids equally. Assume $$x$$ represents the number of cupcakes each kid gets, which of the following inequalities can represent this situation? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3x\\geqslant 8$$ "}], [{"aoVal": "B", "content": "$$3x\\leqslant 8$$ "}], [{"aoVal": "C", "content": "$$3x = 8$$ "}], [{"aoVal": "D", "content": "$$x\\geqslant 8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5504", "queId": "9fb2e834eb3a402aaf3b7d8ec4319b50", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following groups has equivalent ratios? ", "answer_option_list": [[{"aoVal": "A", "content": "$4$ to $3$, $\\frac{0.4}{3}$ "}], [{"aoVal": "B", "content": "$\\frac{4}{3}$, $8$ to $9$ "}], [{"aoVal": "C", "content": "$$\\frac{4}{3}$$, $8:6$ "}], [{"aoVal": "D", "content": "$4:3$, $\\frac{2}{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5505", "queId": "77ea573d45314755b3423f64901bea13", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which choice is correct: $$12:15=$$~\\uline{~~~~~~~~~~}~，$$96:72=$$~\\uline{~~~~~~~~~~}~． ", "answer_option_list": [[{"aoVal": "A", "content": "$$4:5$$，$$3:4$$ "}], [{"aoVal": "B", "content": "$$4:5$$，$$16:9$$ "}], [{"aoVal": "C", "content": "$$4:5$$，$$4:3$$ "}], [{"aoVal": "D", "content": "$$3:5$$，$$4:3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5507", "queId": "9fb40d2af57c4534b4b52bc6d5995054", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Helen said to Mary, \"If you give me 4 apples, I will have exactly as many apples as you.\" How many more apples does Mary have than Helen? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities->Solving Inequalities"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5511", "queId": "c8c9d9133c9a479f9cd28b88ca8cb0bf", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is the sum of the following numbers? $$2017+7012+271=$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$9200$$ "}], [{"aoVal": "B", "content": "$$9290$$ "}], [{"aoVal": "C", "content": "$$9300$$ "}], [{"aoVal": "D", "content": "$$9390$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5512", "queId": "8d8e6766e9ff4f2c8de953b1384af987", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Suppose a block with mass 4kg is placed on a horizontal table. Ryan tried to push the block to right with force 4N but failed. He then tried to push with 6N and 8N, both didn\\textquotesingle t work. Lastly, Ryan pushed with 8.1N force, and the block finally moved. What is the friction acting on the block when Ryan pushes with 4N, 6N, and 8N, separately? $\\textasciitilde$ $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "4N, 6N, 8N, all to left "}], [{"aoVal": "B", "content": "8N, 8N, 8N, all to left "}], [{"aoVal": "C", "content": "4N, 6N, 8N, all to right "}], [{"aoVal": "D", "content": "8.1N, 8.1N, 8.1N, all to right "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5513", "queId": "6f06805600bc4e85bd381b7db6e26bdb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Five girls ate some plums. Lauren ate two plums more than sophie. Betty ate three plums fewer than lauren. Claire ate one plum more than Betty and three plums fewer than Alice. Which two girls ate the same number of plums? (2022 Math Kangaroo Problem, Level 3-4, Question \\#22) ", "answer_option_list": [[{"aoVal": "A", "content": "Claire and Lauren "}], [{"aoVal": "B", "content": "Claire and Sophie "}], [{"aoVal": "C", "content": "Lauren and Alice "}], [{"aoVal": "D", "content": "Sophie and Alice "}], [{"aoVal": "E", "content": "Alice and Betty "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5514", "queId": "80ed31a31a544c9b9fc286d37d512f56", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A large-sample 98 percent confidence interval for the proportion of hotel reservations that are canceled on the intended arrival day is (0.048,0.112). What is the point estimate for the proportion of hotel reservations that are canceled on the intended arrival day from which this interval was constructed？ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.032$$ "}], [{"aoVal": "B", "content": "$$0.064$$ "}], [{"aoVal": "C", "content": "$$0.080$$ "}], [{"aoVal": "D", "content": "$$0.160$$ "}], [{"aoVal": "E", "content": "It cannot be determined from the information given. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5516", "queId": "7c6c04bec77a486bbc71f81bd4bf0ca3", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A hypothesis test in which n = 250 is set up so that P (rejecting H\\textsubscript{0}, when H\\textsubscript{0~}is true) = 0.05. Which of the following is true? ", "answer_option_list": [[{"aoVal": "A", "content": "We can increase the power if we let alpha = 0.05. "}], [{"aoVal": "B", "content": "We can increase the power if we let alpha = 0.01. "}], [{"aoVal": "C", "content": "We can increase the power if we let n = 200. "}], [{"aoVal": "D", "content": "We can decrease the power if we let n = 200. "}], [{"aoVal": "E", "content": "We can decrease the power if we let n = 300. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5519", "queId": "662dbd192d3741ba9aa979ae26edd521", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the tax incidence on the sellers in this market? ", "answer_option_list": [[{"aoVal": "A", "content": "$2 "}], [{"aoVal": "B", "content": "$4 "}], [{"aoVal": "C", "content": "$5 "}], [{"aoVal": "D", "content": "$7 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5524", "queId": "96a383067ba74b11863066ca87f45264", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "A state study on labor reported that one-third of full-time teachers in the state also worked part time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with standard deviation 6.5 hours. Is there convincing statistical evidence. at the level of a = 0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase? ", "answer_option_list": [[{"aoVal": "A", "content": "No. The p-value of the appropriate test is greater than 0.05. "}], [{"aoVal": "B", "content": "No. The p-value of the appropriate test is less than 0.05. "}], [{"aoVal": "C", "content": "Yes. The p-value of the appropriate test is greater than 0.05. "}], [{"aoVal": "D", "content": "Yes. The p-value of the appropriate test is less than 0.05. "}], [{"aoVal": "E", "content": "Not enough information is given to determine whether there is convincing statistical evidence. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5527", "queId": "6a9afa1757d9446180515ea24a73106c", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "What is the least possible value of $$21x+14y$$, if $$xy=6$$ and $$y\\textgreater0$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$48$$ "}], [{"aoVal": "B", "content": "$$83.5$$ "}], [{"aoVal": "C", "content": "$$84$$ "}], [{"aoVal": "D", "content": "$$96$$ "}], [{"aoVal": "E", "content": "$$78$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations->Indeterminate Addition Equations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5529", "queId": "bfa8d58bcb7e464e9535478cbeb6f3fe", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Amul divided a whole number less than $$200$$ by a whole number greater than $$15$$. The result was a whole number. What is the largest possible result of Amul\\textquotesingle s division? ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$11$$ "}], [{"aoVal": "E", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5534", "queId": "a8dcd54e6ae5497d8fb022af19205f76", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If $6x+3y=3$, then what is the value of $16^{}x\\cdot 4^{}y$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$20$$ "}], [{"aoVal": "D", "content": "$$64$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5537", "queId": "92235c2844ee44b0a27bc066fb4885bd", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Observe the number pattern below. What is the missing number? $1$, $1$, $2$, $3$, $5$, $8$,~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$12$$ "}], [{"aoVal": "C", "content": "$$13$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5539", "queId": "ad68215c08874aba94d2e299479eda64", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If $x^{}\\frac{y}{3}=3$ for some positive $x$ and $y$, which of the following is a possible value of $x$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5544", "queId": "6f1ac47621204606b913bd2fcc441815", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Jerry wanted to buy an eraser at $35$ cents. He paid the cashier $1.00$ dollar. How much change did he receive? ", "answer_option_list": [[{"aoVal": "A", "content": "$1.35$ dollars "}], [{"aoVal": "B", "content": "$0.75$ dollars "}], [{"aoVal": "C", "content": "$0.65$ dollars "}], [{"aoVal": "D", "content": "$0.55$ dollars "}], [{"aoVal": "E", "content": "$0.35$ dollars "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5545", "queId": "f22a92ae173c4673b009b5d1a40c97fe", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these numbers is the largest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7.08$$ "}], [{"aoVal": "B", "content": "$$0.708$$ "}], [{"aoVal": "C", "content": "$$8.07$$ "}], [{"aoVal": "D", "content": "$$0.870$$ "}], [{"aoVal": "E", "content": "$$8.7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5554", "queId": "7394fb8fc82c40278162c7d3bf3148bd", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What\\textquotesingle s the product of 16 and 5? ", "answer_option_list": [[{"aoVal": "A", "content": "$$50$$ "}], [{"aoVal": "B", "content": "$$80$$ "}], [{"aoVal": "C", "content": "$$83$$ "}], [{"aoVal": "D", "content": "$$21$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": [" "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5555", "queId": "6ab24b95f9344ef5b75a213359bc48cb", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of $\\alpha$=0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest? ", "answer_option_list": [[{"aoVal": "A", "content": "The sample size is n= 750, and 20 percent of all students use the vending machines. "}], [{"aoVal": "B", "content": "The sample size is n=750, and 25 percent of all students use the vending machines. "}], [{"aoVal": "C", "content": "The sample size is n=1,000, and 25 percentof allstudents use the vending machines. "}], [{"aoVal": "D", "content": "The sample size is n=500, and 50 percent of all students use the vending machines. "}], [{"aoVal": "E", "content": "The sample size is n=1,000, and 50 percent of all students use the vending machines "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5564", "queId": "bb19c09562bc4a4c8d36084880156921", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the value of $$20-6\\div2\\times ( 2+3)$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$35$$ "}], [{"aoVal": "D", "content": "$$85$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5565", "queId": "dfbcdb1a6e254240bbd9db1e5aaff994", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "$0.6$ is the same as: ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{1}{6}$ "}], [{"aoVal": "B", "content": "$\\dfrac{3}{5}$ "}], [{"aoVal": "C", "content": "$\\dfrac{2}{3}$ "}], [{"aoVal": "D", "content": "$\\dfrac{1}{3}$ "}], [{"aoVal": "E", "content": "$\\dfrac{6}{100}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Decimals into Fractions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5568", "queId": "923631782c6f43d6b31f03b4df7d8959", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What number is $$339$$ less than two thousand and eighteen? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1669$$ "}], [{"aoVal": "B", "content": "$$1679$$ "}], [{"aoVal": "C", "content": "$$1689$$ "}], [{"aoVal": "D", "content": "$$1779$$ "}], [{"aoVal": "E", "content": "$$1789$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5569", "queId": "7c9122c45fec4e988b4707b9d965d547", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How long Jingyi used to drive across US? ", "answer_option_list": [[{"aoVal": "A", "content": "2 hours "}], [{"aoVal": "B", "content": "1 day "}], [{"aoVal": "C", "content": "5 days "}], [{"aoVal": "D", "content": "10 day "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5572", "queId": "db2ebb53509043858085ac868b30a3e9", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Find the next number in the sequence below. $$8, 10, 6, 12, 4, 14, 2,$$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$18$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5573", "queId": "8db087a78c2f4e878af0884c8b4623e4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The largest of the following numbers is~\\uline{~~~~~~~~~~}~. ($$2011$$ Math Kangaroo Problems, Level $$7-8$$, Question \\#$$1$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$2011^{1}$$ "}], [{"aoVal": "B", "content": "$$1^{2011}$$ "}], [{"aoVal": "C", "content": "$$1\\times2011$$ "}], [{"aoVal": "D", "content": "$$1+2011$$ "}], [{"aoVal": "E", "content": "$$1\\div2011$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering the Value of Expressions"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5574", "queId": "7c94c1c06eb14a64944d6dd402726144", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Mia prepares apple pies with $4$ apples each. A bag of apples has $16$ apples. How many apple pies can she prepare from three and a half bags of apples? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$16$$ "}], [{"aoVal": "E", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5580", "queId": "923cdfb0b59a46d5977f2e0e5eb6f8b6", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are n=10, n=20, and n=100 which value of n should the player choose in order to maximize the probability of winning a prize? ", "answer_option_list": [[{"aoVal": "A", "content": "n=10 only "}], [{"aoVal": "B", "content": "n=20 only "}], [{"aoVal": "C", "content": "n=100 only "}], [{"aoVal": "D", "content": "n=10 or n=20 only;~the probabilities are the same. "}], [{"aoVal": "E", "content": "n=10 or n=20 or n=100; the probabilities are the same. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5581", "queId": "8a17d939db65447da0558ef7eb67c461", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$20-8=$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5582", "queId": "8db575880bc744d086ebf1d8206a22a5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Look at the number pattern below. What number comes next? $731$, $729$,~\\uline{~~~~~~~~~~}~, $725$, $723$, $721$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$724$$ "}], [{"aoVal": "B", "content": "$$726$$ "}], [{"aoVal": "C", "content": "$$727$$ "}], [{"aoVal": "D", "content": "$$728$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5585", "queId": "c448c854030f409988ce98e68f14752e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "37 coins are shared equally among 5 children. How many coins are left? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5586", "queId": "c8e1c28dbd2a4e4d8c7fe753815f506e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "If $x + 12 = 17$, what is $x$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$29$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$17$$ "}], [{"aoVal": "D", "content": "none of these "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5592", "queId": "d20c2ba4ad074093aa511c7fb8ba9336", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is not a function? ", "answer_option_list": [[{"aoVal": "A", "content": "$y=3x+4$ "}], [{"aoVal": "B", "content": "$y=3x^{224}+4$ "}], [{"aoVal": "C", "content": "$y=\\frac{24}{x^{123}}$ "}], [{"aoVal": "D", "content": "$x=3y^{2}-0.0.1$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5595", "queId": "ad82f96e53bc49bca62ad28eec8646bd", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$$9$$ less than $$31$$ is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$40$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$22$$ "}], [{"aoVal": "D", "content": "$$12$$ "}], [{"aoVal": "E", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5599", "queId": "73bfecd0859e4c24ab37752b92cca5ee", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$(21\\times55)+20=1175$$ is a correct calculation. One of the following calculations is INCORRECT Put a cross in the box next to the INCORRECT calculation. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1175-20=21\\times55$$ "}], [{"aoVal": "B", "content": "$$21\\times (55+20)=1175$$ "}], [{"aoVal": "C", "content": "$$1175=20+(21\\times55)$$ "}], [{"aoVal": "D", "content": "$$20=1175-(21\\times55)$$ "}], [{"aoVal": "E", "content": "$$(21\\times55)+21=1176$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5605", "queId": "bfc79358c6624bc0a9d47f946faa4b05", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following numbers is the largest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1.85$$ "}], [{"aoVal": "B", "content": "$$2.13$$ "}], [{"aoVal": "C", "content": "$$1.06$$ "}], [{"aoVal": "D", "content": "$$2.64$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5610", "queId": "8a2e4b635e6c43dc8bb69633ad8a3577", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The sum of $$7$$ numbers in an arithmetic sequence is $$448$$. What is the smallest possible value of the smallest number in this sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$59$$ "}], [{"aoVal": "B", "content": "$$60$$ "}], [{"aoVal": "C", "content": "$$61$$ "}], [{"aoVal": "D", "content": "$$62$$ "}], [{"aoVal": "E", "content": "$$63$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5611", "queId": "96d4de4d86a644119b1d5fa6eec21a5d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following can be reducted into $\\frac16$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$$-20$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$100$$ "}], [{"aoVal": "E", "content": "$$220$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5619", "queId": "813c494907aa47498ba82f4cd1b9e9b8", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Two guinea pigs heterozygous for coat texture have offspring. What is the percent of their offspring expected to have smooth coats? ", "answer_option_list": [[{"aoVal": "A", "content": "0\\% "}], [{"aoVal": "B", "content": "25\\% "}], [{"aoVal": "C", "content": "50\\% "}], [{"aoVal": "D", "content": "75\\% "}], [{"aoVal": "E", "content": "100\\% "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5623", "queId": "fb7fdfc5771c42cb856dee9d50db76b5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Jim weighed his four dogs, weighing 10.8kg, 13.5kg, 16kg and 14.2kg respectively. What is their total weight? ", "answer_option_list": [[{"aoVal": "A", "content": "$$44.5\\text{kg}$$ "}], [{"aoVal": "B", "content": "$$53.5\\text{kg}$$ "}], [{"aoVal": "C", "content": "$$54.5\\text{kg}$$ "}], [{"aoVal": "D", "content": "$$55.5\\text{kg}$$ "}], [{"aoVal": "E", "content": "$$56.5\\text{kg}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5624", "queId": "8a39804b093447638e72c5c5b928eea0", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Elisa reads $2$ pages of her book on Day $1$. Then Mr Scan reads $4$ pages of her book on Day $2$, $8$ pages on Day $3$, and then $16$ pages on Day $4$, which continues until Elisa finishes her book. If there are $254$ pages in her book, how many days does it take her to read the whole book? 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", "answer_option_list": [[{"aoVal": "A", "content": "$a+2$ "}], [{"aoVal": "B", "content": "$a\\times2$ "}], [{"aoVal": "C", "content": "$a\\times a$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5634", "queId": "926247075f644664ba577c8ec6f49b42", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The sum of two numbers is $$5077$$. If the smaller number is $$1289$$. What is the other number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3288$$ "}], [{"aoVal": "B", "content": "$$3788$$ "}], [{"aoVal": "C", "content": "$$4212$$ "}], [{"aoVal": "D", "content": "$$6366$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5639", "queId": "9ff6476be44d49ae9268a132bf60a1d0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the next term in the following sequence. $$1$$, $$1$$, $$2$$, $$3$$, $$5$$, $$8$$, $$13$$, $$21$$,~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$31$$ "}], [{"aoVal": "B", "content": "$$32$$ "}], [{"aoVal": "C", "content": "$$33$$ "}], [{"aoVal": "D", "content": "$$34$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5640", "queId": "bfd42825a28047b2b0ffce952794a832", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$7-3\\times\\square+1=2$ What number must go in the box to make the statement correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$3$ "}], [{"aoVal": "B", "content": "$1$ "}], [{"aoVal": "C", "content": "$$\\frac23$$ "}], [{"aoVal": "D", "content": "$\\frac13$ "}], [{"aoVal": "E", "content": "$$2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5646", "queId": "a9134f562acb4dbb84064f4e1ce58fc1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following expressions has the same result as $$293-56-44$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$293-(56-44)$$ "}], [{"aoVal": "B", "content": "$$293-(56+44)$$ "}], [{"aoVal": "C", "content": "$$293+(56-44)$$ "}], [{"aoVal": "D", "content": "$$293+(56+44)$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5647", "queId": "e90db18774de43f2b97dad6cc221d98d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Six pencils and two erasers cost $$3.80$$ dollars. One pencil costs $$40$$ cents. How much does one eraser cost? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ cents "}], [{"aoVal": "B", "content": "$$30$$ cents "}], [{"aoVal": "C", "content": "$$40$$ cents "}], [{"aoVal": "D", "content": "$$50$$ cents "}], [{"aoVal": "E", "content": "$$60$$ cents "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5652", "queId": "7cd563c0a6bb4fc2979125f34b8d8b48", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "An empty jar weighs $375\\rm g$. When it is filled with jam it weighs $1.1\\rm kg$. How much does the jam weigh? ", "answer_option_list": [[{"aoVal": "A", "content": "$$475$$$\\rm g$ "}], [{"aoVal": "B", "content": "$$775$$$\\rm g$ "}], [{"aoVal": "C", "content": "$$575$$$\\rm g$ "}], [{"aoVal": "D", "content": "$$725$$$\\rm g$ "}], [{"aoVal": "E", "content": "$$675$$$\\rm g$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5658", "queId": "c8fe214ceb7f49f3a01a37332243b2b4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If the demand curve for apples is given by $Q\\_d = 50 - 2P$ and the supply curve is given by $Q\\_s = 10 + 3P$, what is the equilibrium price and quantity of apples in the market? ", "answer_option_list": [[{"aoVal": "A", "content": "$P = \\textbackslash$8, Q = 34$ "}], [{"aoVal": "B", "content": "$ P = \\textbackslash$10, Q = 30$ "}], [{"aoVal": "C", "content": "$P = \\textbackslash$12, Q = 26$ "}], [{"aoVal": "D", "content": "$P = \\textbackslash$14, Q = 22$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5663", "queId": "96f1483a6a43498baf3fac6246b29450", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each of two random samples selected from the same population: sample R and sample S. Let R represent a random sample of size 1,000, and let S represent a random sample of size 4,000. If the point estimate obtained from R is equal to the point estimate obtained from S, which of the following must be true about the respective margins of error constructed from those samples? ", "answer_option_list": [[{"aoVal": "A", "content": "The margin of error for S will be 4 times the margin of error for R. "}], [{"aoVal": "B", "content": "The margin of error for S will be 2 times the margin of error for R. "}], [{"aoVal": "C", "content": "The margin of error for S will be equal to the margin of error for R. "}], [{"aoVal": "D", "content": "The margin of error for R will be 4 times the margin of error for S. "}], [{"aoVal": "E", "content": "The margin of error for R will be 2 times the margin of error for S. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5672", "queId": "7ce60aab1d424cae854807acb82bc659", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "For number $$80$$, what is its factor form and exponential form? ", "answer_option_list": [[{"aoVal": "A", "content": "Factor form: $$2\\times 2\\times 2\\times 2\\times 5$$; Exponential form: $$2^{3}\\times 5^{2}$$ "}], [{"aoVal": "B", "content": "Factor form: $$2\\times 2\\times 2\\times 2\\times 5$$; Exponential form: $$2^{4}\\times 5$$ "}], [{"aoVal": "C", "content": "Factor form: $$2\\times 2\\times 2\\times 5\\times 5$$; Exponential form: $$2^{3}\\times 5^{2}$$ "}], [{"aoVal": "D", "content": "Factor form: $$2\\times 2\\times 2\\times 5\\times 5$$; Exponential form: $$2^{4}\\times 5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5673", "queId": "cd8e4814a7f24860b4da08a060965aab", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "Fill in the blanks with ``$$+$$'' to make the equation true. (Hint: Two adjacent numbers can form a new number) $\\textasciitilde$ $$1$$~ ~ ~ ~ ~ $$2$$~ ~ ~ ~~ ~ $$3$$~ ~ ~ ~ ~~$$4$$~ ~ ~ ~ ~$$5$$~ ~ ~ ~ $$6$$ =$$48$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$12+3+45+6=48$$ "}], [{"aoVal": "B", "content": "$$1+2+3+45+6=48$$ "}], [{"aoVal": "C", "content": "$$1+23+4+5+6=48$$ "}], [{"aoVal": "D", "content": "$$1+2+34+5+6=48$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5674", "queId": "fb8b446869784aa4996943bfa4cb5c8a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following expression was written correctly? ", "answer_option_list": [[{"aoVal": "A", "content": "$-2\\times x+3$ "}], [{"aoVal": "B", "content": "$-55y+2x-1$ "}], [{"aoVal": "C", "content": "$-1x+10$ "}], [{"aoVal": "D", "content": "$54x+30$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5677", "queId": "9b80e05e720f409ca918f9364132688c", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$3\\text{h}45\\min =$$$$\\min $$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$180$$ "}], [{"aoVal": "B", "content": "$$195$$ "}], [{"aoVal": "C", "content": "$$225$$ "}], [{"aoVal": "D", "content": "$$345$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Measurement->Time->Conversion among Hours, Minutes and Seconds", "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5679", "queId": "f6ee0c858f674f7185d49aff2ada2ebb", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Continue this sequence: $2\\times61$~ ~$3\\times41$~ ~$4\\times31$~ ~$5\\times25 \\cdots$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$ 6\\times22 $$ "}], [{"aoVal": "B", "content": "$$ 7\\times18 $$ "}], [{"aoVal": "C", "content": "$$ 8\\times16 $$ "}], [{"aoVal": "D", "content": "$$ 9\\times13 $$ "}], [{"aoVal": "E", "content": "$$ 10\\times12 $$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Patterns of Expressions"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5683", "queId": "d228ec72b9344e8e8fd0d1000069c62b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the number pattern below? 2750,2950 ,2850 ,~\\uline{~~~~~~~~~~}~,2950 ,3150 ,3050 . ", "answer_option_list": [[{"aoVal": "A", "content": "$$2750$$ "}], [{"aoVal": "B", "content": "$$2850$$ "}], [{"aoVal": "C", "content": "$$2950$$ "}], [{"aoVal": "D", "content": "$$3050$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5684", "queId": "db4f78ecc97241949521e2f748fbe21b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these fractions is the smallest? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{2}{7}$ "}], [{"aoVal": "B", "content": "$\\frac{2}{9}$ "}], [{"aoVal": "C", "content": "$\\frac{4}{9}$ "}], [{"aoVal": "D", "content": "$\\frac{2}{5}$ "}], [{"aoVal": "E", "content": "$\\frac{2}{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5690", "queId": "f24e002e2b784ec6ad946ce11410a2b7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Add brackets to this calculation to that the answer is $$5$$． $$22-10 + 8 \\div 4$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$22 - (10 + 8) \\div 4$$ "}], [{"aoVal": "B", "content": "$$(22 - 10) + 8 \\div 4$$ "}], [{"aoVal": "C", "content": "$$(22 - 10 + 8) \\div 4$$ "}], [{"aoVal": "D", "content": "$$22-10 + (8 \\div 4)$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5691", "queId": "7408ab7d830344298c22a5a63e99fcfc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Each of the faces of a fair six-sided number cube is numbered with one of the numbers 1 through 6, with a different number appearing on each face. Two such number cubes will be tossed, and the sum of the numbers appearing on the faces that land up will be recorded. What is the probability that the sum will be 4, given that the sum is less than or equal to 6? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{2}{36}$ "}], [{"aoVal": "B", "content": "$\\dfrac{3}{36}$ "}], [{"aoVal": "C", "content": "$\\dfrac{3}{15}$ "}], [{"aoVal": "D", "content": "$\\dfrac{2}{9}$ "}], [{"aoVal": "E", "content": "$\\dfrac{4}{6}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5695", "queId": "7cf5481f7478494f85b6b04e8e4cc2ab", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The function $f$ is defined by the equation $f(x)=3^{}x+2$. What is the value of $f(0)$? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5699", "queId": "741309b0ef344f8da793b6b00273ad15", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Four candy bars and three lollipops cost $$4.50$$ dollars. One candy bar costs $$90$$ cents. How much does one lollipop cost? (2000 Math Kangaroo Problem, Level 3-4, Question \\#5) ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ cents "}], [{"aoVal": "B", "content": "$$30$$ cents "}], [{"aoVal": "C", "content": "$$40$$ cents "}], [{"aoVal": "D", "content": "$$50$$ cents "}], [{"aoVal": "E", "content": "$$60$$ cents "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5702", "queId": "db56a0f55f16411e9c6a25fd95f376a5", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following options is the solution of $x-3=5$? ", "answer_option_list": [[{"aoVal": "A", "content": "$x=8$ "}], [{"aoVal": "B", "content": "$x=2$ "}], [{"aoVal": "C", "content": "$x=15$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5705", "queId": "8e0a3b7436184986be6677162b985700", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "l am a number. If you count by tens you will say my name. I am not ten. If you add me to 30, you will get a number less than 60. Who am I? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$30$$ "}], [{"aoVal": "C", "content": "$$40$$ "}], [{"aoVal": "D", "content": "$$50$$ "}], [{"aoVal": "E", "content": "$$60$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5706", "queId": "741af69ac47c4521ba3dfc0e8cbda932", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$3$$ ones, $$6$$ tenths and $$7$$ thousandths is ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.367$$ "}], [{"aoVal": "B", "content": "$$3.067$$ "}], [{"aoVal": "C", "content": "$$3.607$$ "}], [{"aoVal": "D", "content": "$$3.670$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5717", "queId": "8181775e9ecd42709d2e4d4f74c5e69a", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "(2) Eddie has~\\uline{~~~~~~~~~~}~more books than Squary. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5718", "queId": "a0215bfe82c349ceb14809feef71eea6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "At an ice cream shop, a sundae is made by selecting two flavors of ice cream and topping them with fudge, whipped cream, nuts, and a cherry. The available flavors of ice cream are chocolate, vanilla, strawberry, rocky road, chocolate chip cookie dough, and mint chip. How many different sundae combinations are possible? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$120$$ "}], [{"aoVal": "E", "content": "$$720$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5722", "queId": "a4ada31d969741ed949c7ce863b03e2d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Paul draws a plan of his school using a scale of $$2\\text{cm}$$ to $$5\\text{m}$$. On the plan, the school hall is $$6\\text{cm}$$ long. What is the real length of the hall? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15\\text{m}$$ "}], [{"aoVal": "B", "content": "$$6\\text{m}$$ "}], [{"aoVal": "C", "content": "$$18\\text{m}$$ "}], [{"aoVal": "D", "content": "$$9\\text{m}$$ "}], [{"aoVal": "E", "content": "$$12\\text{m}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5723", "queId": "adbfca13878d4a80885e771f04b17c29", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are rational numbers whose distance to the origin are less than 2 units. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$-2$$ "}], [{"aoVal": "C", "content": "infinite "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Knowing the Number Lines"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5734", "queId": "bb60c917960c40749d2b225b0b3ed71d", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is the value of the following sum? $$99+97+95+96+98$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$490$$ "}], [{"aoVal": "B", "content": "$$485$$ "}], [{"aoVal": "C", "content": "$$484$$ "}], [{"aoVal": "D", "content": "$$480$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5739", "queId": "7d1a55265c99486e864745c1ad06af53", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "I think of a number,double it and add $5$. If I think of $21$, what is my answer? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$52$$ "}], [{"aoVal": "D", "content": "$$47$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$3, 3$$ "}], [{"aoVal": "B", "content": "$$3, 4$$ "}], [{"aoVal": "C", "content": "$$4, 4$$ "}], [{"aoVal": "D", "content": "$$4, 3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5745", "queId": "743d3c2e18894c8c9ef75313fb812edf", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "What is the correct answer to $6+4\\times3$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$30$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$22$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$-6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5748", "queId": "78b0c8d21d8242c8ba7534d28df2412f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Pushing on a mass of 15 kg with a sideways force of 120 N is not enough to get the~mass to start sliding across the floor. Which of the following best describes the coefficient of static friction between the floor and the mass? 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He began on page $$15$$ and finished on page $$53$$. How many problems did Jack solve? ", "answer_option_list": [[{"aoVal": "A", "content": "$$19$$ "}], [{"aoVal": "B", "content": "$$20$$ "}], [{"aoVal": "C", "content": "$$27$$ "}], [{"aoVal": "D", "content": "$$38$$ "}], [{"aoVal": "E", "content": "$$53$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5758", "queId": "8e343cd627114385b878fe5f56dc3784", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\left(\\left(\\left(\\frac 12\\div \\frac 13\\right)\\div \\frac 14\\right)\\div \\frac 14\\right)=$$~\\uline{~~~~~~~~~~}~. ($$1986-87$$ MATHCOUNTS, G$$7$$, Problem $$29$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac 1{48}$$ "}], [{"aoVal": "B", "content": "$$24$$ "}], [{"aoVal": "C", "content": "$$48$$ "}], [{"aoVal": "D", "content": "$$96$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5761", "queId": "b6e37b31b2f94df296dda478efb9b89b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$0.2$$ is the same as ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{2}{100}$$ "}], [{"aoVal": "B", "content": "$$\\frac{2}{10}$$ "}], [{"aoVal": "C", "content": "$$\\frac{2}{5}$$ "}], [{"aoVal": "D", "content": "$$\\frac{10}{5}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A.(Targeting Mathematics Workbook 《Decimals》Primary $$4$$B Question \\#$$44$$) "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5763", "queId": "7d354824c54e406a9128bbec004dac0f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Jimmy buys $6$ apples for $1.99$p each. How much do the apples cost altogether? ", "answer_option_list": [[{"aoVal": "A", "content": "￡$11.84$ "}], [{"aoVal": "B", "content": "￡$11.40$ "}], [{"aoVal": "C", "content": "$194$p "}], [{"aoVal": "D", "content": "￡$11.96$ "}], [{"aoVal": "E", "content": "￡$11.94$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5766", "queId": "bb70f471b51d4e4f85721688eb9e11dc", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "The most likeiy height of an eleven-year-old boy is: ", "answer_option_list": [[{"aoVal": "A", "content": "$0.14\\text{cm}$ "}], [{"aoVal": "B", "content": "$1.4\\text{cm}$ "}], [{"aoVal": "C", "content": "$14\\text{cm}$ "}], [{"aoVal": "D", "content": "$140\\text{cm}$ "}], [{"aoVal": "E", "content": "$1400\\text{cm}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5767", "queId": "dff91613f378479fa6ab1f5ed5ecf5fa", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following lists is not a number pattern? ", "answer_option_list": [[{"aoVal": "A", "content": "$1$,$3$,$5$,$7$,$9$$\\cdots $ "}], [{"aoVal": "B", "content": "$4$,$7$,$10$,$13$,$16$$\\cdots $ "}], [{"aoVal": "C", "content": "$2$,$1$,$2$,$1$,$2$$\\cdots $ "}], [{"aoVal": "D", "content": "$3$,$27$,$9$,$81$,$28$$\\cdots $ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5771", "queId": "7d3c5abc89b949fba064d0d06d33493f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "There are $35$ children in a class. Three-fifths of the class are girls and the rest are boys. How many boys are there in the class? ", "answer_option_list": [[{"aoVal": "A", "content": "$$14$$ "}], [{"aoVal": "B", "content": "$$21$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$28$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5774", "queId": "e49a9bfaafda48e9bf4ae653fbd2186a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The numbers $4$, $5$, $6$, $7$ and $8$ are divided into groups of one or more numbers. The sum of the numbers in each group is the same. Which number must be in the group with the number $8$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$7$$ "}], [{"aoVal": "E", "content": "Not sure. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5779", "queId": "92c50d6eeb9f4cd9a4fa3e6514bf2310", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "To solve the problem $63+(56+37)-(28-12)$, Linda writes the steps below. In which step the first mistake was written? Step $1$: $=63+56+37-28+12$ Step $2$: $=63+37+56-28+12$ Step $3$: $=100+56-28+12$ Step $4$: $=156+28+12$ Step $5$: $=156+40$ Step $6$: $=196$ ", "answer_option_list": [[{"aoVal": "A", "content": "Step $1$ "}], [{"aoVal": "B", "content": "Step $2$ "}], [{"aoVal": "C", "content": "Step $3$ "}], [{"aoVal": "D", "content": "Step $4$ "}], [{"aoVal": "E", "content": "Step $5$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5782", "queId": "a4d33c14fe694919a2f3e53281ef1bb8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Simplify the expression: $4^{3}+4^{3}+4^{3}+4^{3}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$4^{12}$ "}], [{"aoVal": "B", "content": "$4^{2}$ "}], [{"aoVal": "C", "content": "$4^{3}$ "}], [{"aoVal": "D", "content": "$4^{4}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5783", "queId": "d24f33215efb4046b5bac247f40b1854", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which \\textbf{one} of the following statements is false? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2+5\\times4=22$$ "}], [{"aoVal": "B", "content": "$$18-6\\times3=0$$ "}], [{"aoVal": "C", "content": "$$15-2\\times7=1$$ "}], [{"aoVal": "D", "content": "$$7+1\\times3=24$$ "}], [{"aoVal": "E", "content": "$$8\\times5-7=33$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5786", "queId": "f26b2ed2bf784969a37a3a7370015e03", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A boy bought a baseball and a bat, paying $1.25$ dollars for both items. If the ball cost $25$ cents more than the bat, how much did the ball cost? ", "answer_option_list": [[{"aoVal": "A", "content": "$1$ dollar "}], [{"aoVal": "B", "content": "$0.75$ dollars "}], [{"aoVal": "C", "content": "$0.65$ dollars "}], [{"aoVal": "D", "content": "$0.5$ dollars "}], [{"aoVal": "E", "content": "$0.45$ dollars "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5787", "queId": "f26b436d5b5f4c91bec2286ae54b36c8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following numbers is repeating decimal? ", "answer_option_list": [[{"aoVal": "A", "content": "$$26.3838$$ "}], [{"aoVal": "B", "content": "$$3.02525 \\cdots $$ "}], [{"aoVal": "C", "content": "$$\\pi$$ "}], [{"aoVal": "D", "content": "$$5.010010001 \\cdots $$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5791", "queId": "e4a061b3dfe648b4add628059a1c0bd8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A frog fell into a drain that was 20 cm deep. After one hour, it mastered enough energy to make a jump of 6 cm but it then slid down 4 cm. If it continued in this manner after every one hour, how many hours will it take to get out of the drain? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Number Machine"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5799", "queId": "c49efada13504b248a79b473fbf8e666", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the missing number in the following number pattern? $7146$, $7142$~\\uline{~ ~ ~?~ ~ ~}~, $7136$, $7134$, $7130$, $7128$, $7124$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$7132$$ "}], [{"aoVal": "B", "content": "$$7134$$ "}], [{"aoVal": "C", "content": "$$7138$$ "}], [{"aoVal": "D", "content": "$$7140$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5808", "queId": "86437f414ce3405aa598e35b2fe2543e", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is $45 \\times 160$ ? ", "answer_option_list": [[{"aoVal": "A", "content": "$$720$$ "}], [{"aoVal": "B", "content": "$$4800$$ "}], [{"aoVal": "C", "content": "$$7200$$ "}], [{"aoVal": "D", "content": "$$640$$ "}], [{"aoVal": "E", "content": "$$1400$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication in Vertical Form"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5816", "queId": "9bda0e470d184fd3a67465923debf8e6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Peter plants a pot of flower on Monday. It will takes it $4$ days to bloom. What day of the week will it be when it bloom? ", "answer_option_list": [[{"aoVal": "A", "content": "Tuesday "}], [{"aoVal": "B", "content": "Wednesday "}], [{"aoVal": "C", "content": "Thursday "}], [{"aoVal": "D", "content": "Friday "}], [{"aoVal": "E", "content": "Saturday "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5819", "queId": "e94069d1f2b747fd90288dd228d06e5a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If $a^{-\\frac{1}{3}}=x$, what is $a$ in terms of $x$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$-x^{3}$ "}], [{"aoVal": "B", "content": "$-\\sqrt[3]{x}$ "}], [{"aoVal": "C", "content": "$\\frac{1}{x^{3}}$ "}], [{"aoVal": "D", "content": "$\\frac{1}{\\sqrt[3]{x}}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5824", "queId": "ff9becdb9da34115be9d19e01e9827dd", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$1+2+3+4+5+6+7+8+9=$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$50$$ "}], [{"aoVal": "B", "content": "$$40$$ "}], [{"aoVal": "C", "content": "$$45$$ "}], [{"aoVal": "D", "content": "$$55$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5828", "queId": "8e674f6eaf67412d99ef4bd64530cf82", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which fraction is equivalent to $\\frac{3}{8}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{15}{32}$ "}], [{"aoVal": "B", "content": "$\\frac{9}{16}$ "}], [{"aoVal": "C", "content": "$\\frac{2}{7}$ "}], [{"aoVal": "D", "content": "$\\frac{4}{9}$ "}], [{"aoVal": "E", "content": "$\\frac{9}{24}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5829", "queId": "e00fdd49ff6d41d4b0c8753b95f2e1c0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$2005 \\times 5002=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1291$$ "}], [{"aoVal": "B", "content": "$$102910$$ "}], [{"aoVal": "C", "content": "$$10029010$$ "}], [{"aoVal": "D", "content": "$$1000290010$$ "}], [{"aoVal": "E", "content": "$$100002900010$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5831", "queId": "bb917ecd32014dbaab881e181c5af0c0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "If $a = 4 $ and $b = 2 $, what is~$\\dfrac{a+b+3}{3}$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$423$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5836", "queId": "d6f312b0f48c466d9608166d62b0f817", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A company that makes fleece clothing uses fleece produced from two farms, Northern Farm and Western Farm. Let the random variable X represent the weight of fleece produced by a sheep from Northern Farm. The distribution of X has mean 14.1 pounds and standard deviation 1.3 pounds. Let the random variable Y represent the weight of fleece produced by a sheep from Western Farm. The distribution of Y has mean 6.7 pounds and standard deviation 0.5 pound. Assume X and Y are independent. Let W equal the total weight of fleece from 10 randomly selected sheep from Northern Farm and 15 randomly selected sheep from Western Farm. Which of the following is the standard deviation, in pounds, of W? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1.3+0.5$$ "}], [{"aoVal": "B", "content": "$\\sqrt{1.3^{2}+0.5^{2}}$ "}], [{"aoVal": "C", "content": "$\\sqrt{10(1.3)^{2}+15(0.5)^{2}}$ "}], [{"aoVal": "D", "content": "$\\sqrt{10^{2}(1.3)^{2}+15^{2}(0.5)^{2}}$ "}], [{"aoVal": "E", "content": "$\\sqrt{\\dfrac{1.3^{2}}{10}+\\dfrac{0.5^{2}}{15}}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5837", "queId": "a97ff5b818a74979bd48640b193a0227", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Look at the number pattern below. What is the missing number in the blank? $$3010$$, $$3110$$, $$3310$$,~\\uline{~~~~~~~~~~}~, $$4010$$, $$4510$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$3410$$ "}], [{"aoVal": "B", "content": "$$3510$$ "}], [{"aoVal": "C", "content": "$$3610$$ "}], [{"aoVal": "D", "content": "$$3710$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5838", "queId": "cdcd9e6534ff4c0c8cb2f51798752289", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A tropical storm is classified as major if it has sustained winds greater than 110 miles per hour. Based on data from the past two decades, a meteorologist estimated the following percentages about future storms. $\\textasciitilde$ ·20\\% of all tropical storms will originate in the Atlantic Ocean, of which 20\\% will be classified as major. $\\textasciitilde$ · 30\\% of all tropical storms will originate in the eastern Pacific Ocean, of which 15\\% will be classified as major. $\\textasciitilde$ ·50\\% of all tropical storms will originate in the western Pacific Ocean, of which 25\\% will be classified as major. $\\textasciitilde$ Based on the meteorologist\\textquotesingle s estimates, approximately what is the probability that a future tropical storm will originate in the Pacific Ocean and be classified as major ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.045$$ "}], [{"aoVal": "B", "content": "$$0.125$$ "}], [{"aoVal": "C", "content": "$$0.170$$ "}], [{"aoVal": "D", "content": "$$0.400$$ "}], [{"aoVal": "E", "content": "$$0.960$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5839", "queId": "d264ca71f3714b0eb6a6129720fd23e1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Express $$\\frac{62}{5}$$ as a mixed number in its simplest form. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2\\frac{2}{5}$$ "}], [{"aoVal": "B", "content": "$$5\\frac{2}{12}$$ "}], [{"aoVal": "C", "content": "$$12\\frac{2}{5}$$ "}], [{"aoVal": "D", "content": "$$60\\frac{2}{5}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5849", "queId": "ae0a32f236e14278bd84046681f27197", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Students in a large psychology class measured the time, in seconds, it took each of them to perform a certain task. The times were later converted to minutes. If a student had a standardized score of z = 1.72 before the conversion, what is the standardized score for the student after the conversion? ", "answer_option_list": [[{"aoVal": "A", "content": "z = 0.26 "}], [{"aoVal": "B", "content": "z = 1.03 "}], [{"aoVal": "C", "content": "z = 1.72 "}], [{"aoVal": "D", "content": "z = 1.98 "}], [{"aoVal": "E", "content": "The standardized score for the student after the conversion cannot be determined. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5858", "queId": "a990599fc1824947ba89f4ee3a549904", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Six friends share four pizzas between them. If each pizza is cut into three pieces and the friends share the pizzas equally, how many pieces does each friend get? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5867", "queId": "f725f753f9134e5290748bbd681bbde5", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate: $10 \\times 12 =$~\\uline{~~~~~~~~~~}~$\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde$$47 \\times 100$ =~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$1200$; $4700$ "}], [{"aoVal": "B", "content": "$120$; $4700$ "}], [{"aoVal": "C", "content": "$120$; $470$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5868", "queId": "930af5aae051427cae1e5c2e47b01936", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following fractions is the largest? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac23$ "}], [{"aoVal": "B", "content": "$\\frac34$ "}], [{"aoVal": "C", "content": "$$\\frac45$$ "}], [{"aoVal": "D", "content": "$\\frac47$ "}], [{"aoVal": "E", "content": "$\\frac9{11}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": ["N/A "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5874", "queId": "ae1b3773163e4aab9353cfdde44bae91", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Andy thinks of a cube number less than $1000$. He divides it by four it and says, ``Now I have a square number.'' What is his new square number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$25$$ "}], [{"aoVal": "D", "content": "$$36$$ "}], [{"aoVal": "E", "content": "$$64$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5880", "queId": "8e9b778041784637b0da8983881bbc41", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In $$26.73$$, the digit $$3$$ has the value of ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$0.3$$ "}], [{"aoVal": "C", "content": "$$0.03$$ "}], [{"aoVal": "D", "content": "$$0.003$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5881", "queId": "8222ca65dfbb45b7a2a95606730f467c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate: $1234+4321=$~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$4444$$ "}], [{"aoVal": "B", "content": "$$5544$$ "}], [{"aoVal": "C", "content": "$$5545$$ "}], [{"aoVal": "D", "content": "$$5555$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5883", "queId": "ae21328b07bd40bc9becfbfd36dcde2e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$27 \\times 3 \\textgreater{}x^{2}$$ Which of these numbers is the largest number $$x$$ could be? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities->Solving Inequalities"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5887", "queId": "c95eb7e36bde454585cf8b818d38faf7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these fractions is the smallest? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{6}{7}$ "}], [{"aoVal": "B", "content": "$\\frac{8}{9}$ "}], [{"aoVal": "C", "content": "$\\frac{11}{12}$ "}], [{"aoVal": "D", "content": "$\\frac{9}{10}$ "}], [{"aoVal": "E", "content": "$\\frac{2}{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5895", "queId": "a9a5a540a0ab4bfaa325812dbffd9daf", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A block of mass m slides along a frictionless surface with kinetic energy K\\textsubscript{i}. It collides with a block of mass 3m that is initially at rest, and the two blocks stick together and slide with total kinetic energy K\\textsubscript{f} . 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", "answer_option_list": [[{"aoVal": "A", "content": "$$1:5$$ "}], [{"aoVal": "B", "content": "$$1:6$$ "}], [{"aoVal": "C", "content": "$$6:1$$ "}], [{"aoVal": "D", "content": "$$1:12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5899", "queId": "edf1669527f345b2b73f4af22719e672", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\frac{2}{3}$$ of the area of a triangle is equal to $$\\frac{1}{4}$$ of the area of a rectangle. What is the ratio of the area of the triangle to the area of the rectangle? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2:1$$ "}], [{"aoVal": "B", "content": "$$3:8$$ "}], [{"aoVal": "C", "content": "$$8:3$$ "}], [{"aoVal": "D", "content": "$$\\textasciitilde3:4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5900", "queId": "b72f57de83f64453815047f58dedff4b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Arrange the following fractions from the greatest fo the smallest． $$\\frac{2}{3}$$,$$\\frac{3}{10}$$,$$\\frac{5}{9}$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{3}{10}$$,$$\\frac{5}{9}$$,$$\\frac{2}{3}$$ "}], [{"aoVal": "B", "content": "$$\\frac{2}{3}$$,$$\\frac{5}{9}$$,$$\\frac{3}{10}$$ "}], [{"aoVal": "C", "content": "$$\\frac{5}{9}$$,$$\\frac{3}{10}$$,$$\\frac{2}{3}$$ "}], [{"aoVal": "D", "content": "$$\\frac{3}{10}$$,$$\\frac{2}{3}$$,$$\\frac{5}{9}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5910", "queId": "8eb20ec5d7e24570bbfa42f7add01a79", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Lilac makes a $$\\frac{1}{2}$$ turn. How many degrees has she turned? ", "answer_option_list": [[{"aoVal": "A", "content": "$$45^{\\circ}$$ "}], [{"aoVal": "B", "content": "$$90^{\\circ}$$ "}], [{"aoVal": "C", "content": "$$135^{\\circ}$$ "}], [{"aoVal": "D", "content": "$$180^{\\circ}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5921", "queId": "a531673bdb044e1dab45887ebc628217", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Choose the odd number. ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5924", "queId": "c96ede56fadd47349759970f4b9f86cb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Sara has 16 blue marbles. She can trade marbles in two ways: 3 blue marbles for 1 red marble, and 2 red marbles for 5 green marbles. What is the maximum number of green marbles she can get? (2019 Math Kangaroo Problem, Level 3-4, Question \\#13) ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$13$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5932", "queId": "c4ddaaf6bc47445ca79a2b6ad7735c4f", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$a^{4}\\times a+b\\times b=$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$a^{5}+b^{2}$$ "}], [{"aoVal": "B", "content": "$$a^{4}\\times b^{2}$$ "}], [{"aoVal": "C", "content": "$$2a^{4}b$$ "}], [{"aoVal": "D", "content": "$$a^{4}+2b$$ "}], [{"aoVal": "E", "content": "$$a^{5}b^{2}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5939", "queId": "f29bf79a39bd4cef8e0ff085eb815cbe", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The digit $3$ in what number represents a value of $0.3$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7.023$$ "}], [{"aoVal": "B", "content": "$$0.643$$ "}], [{"aoVal": "C", "content": "$$13.5$$ "}], [{"aoVal": "D", "content": "$$6.31$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5942", "queId": "a9c56627f16d4756b916d1935423a0a6", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following fractions is equivalent to $$\\frac{2}{3}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{4}{5}$$ "}], [{"aoVal": "B", "content": "$$\\frac{5}{9}$$ "}], [{"aoVal": "C", "content": "$$\\frac{8}{9}$$ "}], [{"aoVal": "D", "content": "$$\\frac{8}{12}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5944", "queId": "d720a57aadba492891b48ac7d04ac8a4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Given that $x^{3}y^{6}z^{9}=27$, then $xy^{2}z^{3}=$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$27$$ "}], [{"aoVal": "D", "content": "Can\\textquotesingle t determine. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5947", "queId": "a53ef94402ac4d63882734c2df484667", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Simplify expression $$m+3m-2$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3m-2$$ "}], [{"aoVal": "B", "content": "$$4m$$ "}], [{"aoVal": "C", "content": "$$2m$$ "}], [{"aoVal": "D", "content": "$$4m-2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$10$$ "}], [{"aoVal": "B", "content": "$$52$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5958", "queId": "e9756d3bd19e4e64b6481996101486a6", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Which one of the following expressions has the \\uline{\\textbf{same}}~result as~$2.5\\times0.4$? (Hint: Try to do this problem without calculating the product.) ", "answer_option_list": [[{"aoVal": "A", "content": "$25\\times4$ "}], [{"aoVal": "B", "content": "$25\\times0.04$ "}], [{"aoVal": "C", "content": "$2.5\\times4$ "}], [{"aoVal": "D", "content": "$0.25\\times0.4$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5962", "queId": "c4f20e02a1c34384ab73702a30db4919", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$5.3-4.12=$? 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", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{1}{3}$ "}], [{"aoVal": "B", "content": "$\\dfrac{1}{2}$ "}], [{"aoVal": "C", "content": "$\\dfrac{3}{9}$ "}], [{"aoVal": "D", "content": "$\\dfrac{4}{12}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions", "Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Basic Properties of Fractions->Using Common Factors to Simplify Fractions"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$$637-137-79$$ "}], [{"aoVal": "B", "content": "$$637-137+79$$ "}], [{"aoVal": "C", "content": "$$637+137-79$$ "}], [{"aoVal": "D", "content": "$$637+137+79$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5971", "queId": "c4f7fcbdf5b1415ab9eb998914ad22bc", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$2.9\\times6.6+29\\times0.34=$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$29$$ "}], [{"aoVal": "B", "content": "$$117.74$$ "}], [{"aoVal": "C", "content": "$$10.034$$ "}], [{"aoVal": "D", "content": "$$2.9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Distributive Property of Decimals->Applying Distributive Law in Decimal Multiplication"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5972", "queId": "a0d9d8e671d34484a7dd998b4eec4488", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Think Teacher divides $$33$$ gifts into $$12$$ kids equally. Assume $$x$$ represents the number of gifts each kid gets, which of the following inequalities can represent this situation? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12x\\geqslant 33$$ "}], [{"aoVal": "B", "content": "$$12x\\leqslant 33$$ "}], [{"aoVal": "C", "content": "$$12x = 33$$ "}], [{"aoVal": "D", "content": "$$x\\geqslant 33$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5974", "queId": "ae5c98c4c15949168a61efa95712f850", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Leonard is going to play a game the day after tomorrow. It is Friday yesterday. What day will it be when Leonard play the game? ", "answer_option_list": [[{"aoVal": "A", "content": "Monday "}], [{"aoVal": "B", "content": "Tuesday "}], [{"aoVal": "C", "content": "Thursday "}], [{"aoVal": "D", "content": "Saturday "}], [{"aoVal": "E", "content": "Sunday "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5976", "queId": "97e0305a317a410dbabe44d9ba6469aa", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There is $480ml$ of water in Jug A and $120ml$ of water in Jug B. How much water must be poured from Jug A into Jug B so that Jug A will have twice as much water as Jug B? ", "answer_option_list": [[{"aoVal": "A", "content": "$$80ml$$ "}], [{"aoVal": "B", "content": "$$100ml$$ "}], [{"aoVal": "C", "content": "$$240ml$$ "}], [{"aoVal": "D", "content": "$$360ml$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "5980", "queId": "d2a6d416416d4d76bad481134084caa6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Three positive integers are equally spaced on a number line. The middle number is 15, and the largest number is 4 times the smallest number. What is the smallest of these three numbers? 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If the temperature continues to drop by half of a degree every hour what is the temperature at $6$pm? ", "answer_option_list": [[{"aoVal": "A", "content": "$--3$$^{\\circ}\\text{C}$ "}], [{"aoVal": "B", "content": "$--7$$^{\\circ}\\text{C}$ "}], [{"aoVal": "C", "content": "$--4$$^{\\circ}\\text{C}$ "}], [{"aoVal": "D", "content": "$5$$^{\\circ}\\text{C}$ "}], [{"aoVal": "E", "content": "$--5$$^{\\circ}\\text{C}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6089", "queId": "f2dea4bc6c7042aaa53674d4c50f4902", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following decimals is equivalent to $\\frac{3}{11}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$2.\\dot{7}\\dot{2}$ "}], [{"aoVal": "B", "content": "$0.2\\dot{7}$ "}], [{"aoVal": "C", "content": "$0.272727$ "}], [{"aoVal": "D", "content": "$0.\\dot{2}\\dot{7}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6092", "queId": "bc3ce8048cb84a698ccb27907e6221e2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Multiply $$36$$ by $$3$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$39$$ "}], [{"aoVal": "C", "content": "$$48$$ "}], [{"aoVal": "D", "content": "$$108$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6096", "queId": "b7bab605198d45a5b32eeb4ded29fabe", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Usually, people spend $\\frac{1}{4}$ of their sleeping time dreaming. If Poole slept $8$ hours last night, how much time did he spend dreaming yesterday? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$2$$ "}], [{"aoVal": "E", "content": "$$1$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6097", "queId": "aa48b3ce89a84cc9919d9ec90ad72724", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$286+4053=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$3767$$ "}], [{"aoVal": "B", "content": "$$4239$$ "}], [{"aoVal": "C", "content": "$$4339$$ "}], [{"aoVal": "D", "content": "$$6913$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6101", "queId": "d2ed5d74fbbd4fb3a9f8776fe275c6d0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Lili bought a coffee that cost $$\\textbackslash$8.50$$ and a shirt that cost $$\\textbackslash$25.62$$. How much money did she spend? $$\\textbackslash$$$~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$35.02$$ "}], [{"aoVal": "B", "content": "$$34.12$$ "}], [{"aoVal": "C", "content": "$$32.92$$ "}], [{"aoVal": "D", "content": "$$26.47$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6103", "queId": "c54b408dc4fe411e8ce2b6eeaa20707e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Given that nitrogen has a valence of 3, how many hydrogen atoms can a nitrogen atom bond to? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6105", "queId": "93f0d951d6564354ac3caa9ee85047a2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Express $$\\frac{18}{25}$$ as a percentage. ", "answer_option_list": [[{"aoVal": "A", "content": "$$18\\textbackslash\\%$$ "}], [{"aoVal": "B", "content": "$$36\\textbackslash\\%$$ "}], [{"aoVal": "C", "content": "$$72\\textbackslash\\%$$ "}], [{"aoVal": "D", "content": "$$90\\textbackslash\\%$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Percentages->Converting Between Percentages, Fractions and Decimals", "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6113", "queId": "dc112c36019a465e838883b95d910e8b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "To solve the problem $9\\times(10+5)-(7-2)$, John writes the steps below. In which step the first mistake was written? Step $1$: $=9\\times10+9\\times5-(7-2)$ Step $2$: $=9\\times10+9\\times5-7+2$ Step $3$: $=90+45-9$ Step $4$: $=145-9$ Step $5$: $=136$ ", "answer_option_list": [[{"aoVal": "A", "content": "Step $1$ "}], [{"aoVal": "B", "content": "Step $2$ "}], [{"aoVal": "C", "content": "Step $3$ "}], [{"aoVal": "D", "content": "Step $4$ "}], [{"aoVal": "E", "content": "Step $5$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6115", "queId": "b7c88989d9bf49438b91d10543743690", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the sum of interior angles of a triangle? ", "answer_option_list": [[{"aoVal": "A", "content": "$90^{}\\circ$ "}], [{"aoVal": "B", "content": "$180^{}\\circ$ "}], [{"aoVal": "C", "content": "$270^{}\\circ$ "}], [{"aoVal": "D", "content": "$360^{}\\circ$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6117", "queId": "c5553af3128a44b8a791039e15495e78", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$831+58=$$ ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$773$$ "}], [{"aoVal": "B", "content": "$$827$$ "}], [{"aoVal": "C", "content": "$$888$$ "}], [{"aoVal": "D", "content": "$$889$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6118", "queId": "e098d97937a84c9baf12cc968bf1405d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Lin, Mat, and Ned went for a run of different distances L, M, and N respectively. During the run, they covered an equal distance before they stopped for a water break. At that time, Lin had completed $$\\frac{1}{2}$$ of distance L, Mat had completed $$\\frac{2}{3}$$ of distance M and Ned had completed $$\\frac{3}{5}$$ of distance N. What is the ratio of the distance L to distance M to distance N? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1:2:3$$ "}], [{"aoVal": "B", "content": "$$2:3:5$$ "}], [{"aoVal": "C", "content": "$$12:9:10$$ "}], [{"aoVal": "D", "content": "$$15:20:18$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Algebra->Problems Involving Proportions->Solving Problems Involving Proportion", "Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6123", "queId": "c0de99514ee046f088ded8fe3389747e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$6+2=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"], "answer_analysis": ["N/A． "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6125", "queId": "ce6dca206a544cd48de864fad0a6d055", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What number is $$339$$ less than two thousand and eighteen? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1669$$ "}], [{"aoVal": "B", "content": "$$1679$$ "}], [{"aoVal": "C", "content": "$$1689$$ "}], [{"aoVal": "D", "content": "$$1789$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6136", "queId": "b3624d55269e4f758bc97d99fda92a65", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\frac{6}{7} \\times \\frac{14}{9}=$$~\\uline{~~~~~~~~~~}~. What is the answer in its simplest form? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{3}$$ "}], [{"aoVal": "B", "content": "$$\\frac{7}{9}$$ "}], [{"aoVal": "C", "content": "$$\\frac{12}{9}$$ "}], [{"aoVal": "D", "content": "$$1\\frac{1}{3}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6138", "queId": "c0eb1cb000bb403c8c16f9fef2d038a4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following expressions has the same result as $$463-(238-37)$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$463-238-37$$ "}], [{"aoVal": "B", "content": "$$463+238-37$$ "}], [{"aoVal": "C", "content": "$$463+238+37$$ "}], [{"aoVal": "D", "content": "$$463-238+37$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6148", "queId": "c0f04c05fec34b97a2e31aac7b04d926", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which number is one hundred times smaller than $4250$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$425000$$ "}], [{"aoVal": "B", "content": "$$4.25$$ "}], [{"aoVal": "C", "content": "$$425$$ "}], [{"aoVal": "D", "content": "$$42.5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6149", "queId": "d30ba03496194643820c26debc1ebd0f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The digit $8$ in what number represents a value of $0.8$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8.013$$ "}], [{"aoVal": "B", "content": "$$0.683$$ "}], [{"aoVal": "C", "content": "$$88.7$$ "}], [{"aoVal": "D", "content": "$$9.82$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6152", "queId": "e53f4d6f40d84633a45b7a6287befaa4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Sammy and Tricia started doing a math test at the same time. Sammy completed the paper in $$1\\text{h}$$ $$15\\min$$. Tricia completed the paper $$20\\min $$ earlier than Sammy. How much time did Tricia take to complete the paper?． ", "answer_option_list": [[{"aoVal": "A", "content": "$$135\\rm min$$ "}], [{"aoVal": "B", "content": "$$95\\rm min$$ "}], [{"aoVal": "C", "content": "$$55\\rm min$$ "}], [{"aoVal": "D", "content": "$$35\\rm min$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Measurement->Time->Time Calculation", "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"], "answer_analysis": ["N/A.　 "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6154", "queId": "ee662496d8a34671b9280d61d148f5d0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Two sets of numbers are given. The second set of numbers is obtained by doing something to the first set. $\\left\\textbackslash{ 1,2,3,4,5\\right\\textbackslash}\\textbackslash{} \\Rightarrow\\left\\textbackslash{ 2,5,10,?,26\\right\\textbackslash}$ What is the missing number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$17$$ "}], [{"aoVal": "C", "content": "$$21$$ "}], [{"aoVal": "D", "content": "$$37$$ "}], [{"aoVal": "E", "content": "$$50$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns->Looking For Patterns"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "P(E) = 0.12 "}], [{"aoVal": "B", "content": "P(E) = 0.4 "}], [{"aoVal": "C", "content": "P(D or E) = 0.28 "}], [{"aoVal": "D", "content": "P(D or E) = 0.72 "}], [{"aoVal": "E", "content": "P(D or E) = 0.9 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6158", "queId": "e5423289f73e4b4e95b3b7cf843b3049", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of these pairs of numbers are equally distant from $$5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5.01$$ and $$4.91$$ "}], [{"aoVal": "B", "content": "$$5.01$$ and $$4.99$$ "}], [{"aoVal": "C", "content": "$$5.11$$ and $$4.91$$ "}], [{"aoVal": "D", "content": "$$5.11$$ and $$4.99$$ "}], [{"aoVal": "E", "content": "$$5.19$$ and $$4.91$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"], "answer_analysis": ["N/A. revise from (GL Assessment book$$2$$《Paper $$6$$》 $$6$$ years Question \\#$$17$$) "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6159", "queId": "a5fcee5a672c4df493a314640219ddff", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "$3a-2b-2a+3b$ =~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$1+b$ "}], [{"aoVal": "B", "content": "$a-b$ "}], [{"aoVal": "C", "content": "$a+b$ "}], [{"aoVal": "D", "content": "$a-5b$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6163", "queId": "d3125e51add24b1d9afcdf00cb1b13db", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "$$4\\times 9=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$16\\times 2$$ "}], [{"aoVal": "B", "content": "$$12\\times 3$$ "}], [{"aoVal": "C", "content": "$$7\\times 5$$ "}], [{"aoVal": "D", "content": "$$38\\times 1$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6166", "queId": "bc76fbff896242c493fd5c2d9e45f746", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "When $$\\frac 89$$ is divided by $$\\frac 43$$, the result is~\\uline{~~~~~~~~~~}~. ($$1978-79$$ MATHCOUNTS, G$7$, Problem $$5$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac {32}{27}$$ "}], [{"aoVal": "B", "content": "$$\\frac 23$$ "}], [{"aoVal": "C", "content": "$$\\frac 2{27}$$ "}], [{"aoVal": "D", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6169", "queId": "dc31c87284234bf4921cbde34dc942c1", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Rachel practices singing and dancing every week. Each day she practices either singing for $2$ hours or dancing for $3$ hours. She practiced dancing for $12$ hours last week. How many hours did she practice singing last week? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6175", "queId": "aa900ddd27fe4fbca698fb26dc1d4858", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Some children were queueing up outside the classroom. Counting from the front to the back, Chris was $13$\\textsuperscript{th}~in line. Counting from the back to the front, Becky was $10$\\textsuperscript{th}~in line. Chris was in front of Becky, and there were $$12$$ people standing between Chris and Becky. How many people were there in the queue? ", "answer_option_list": [[{"aoVal": "A", "content": "$$23$$ "}], [{"aoVal": "B", "content": "$$25$$ "}], [{"aoVal": "C", "content": "$$35$$ "}], [{"aoVal": "D", "content": "$$37$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6178", "queId": "f7accd3cab9c455099a22ed078365a21", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delaved because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delaved because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays\\textquotesingle? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.065$$ "}], [{"aoVal": "B", "content": "$$0.335$$ "}], [{"aoVal": "C", "content": "$$0.350$$ "}], [{"aoVal": "D", "content": "$$0.450$$ "}], [{"aoVal": "E", "content": "$$0.665$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6180", "queId": "aa92fd118cdc4d5c91a3d531227b00e4", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$5$$ ones, $$2$$ tenths and $$53$$ thousandths is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$5.73$$ "}], [{"aoVal": "B", "content": "$$5.073$$ "}], [{"aoVal": "C", "content": "$$5.2053$$ "}], [{"aoVal": "D", "content": "$$5.253$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6181", "queId": "f30d6e352fe64446ba4300b036917a88", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A moon of Jupiter has a nearly circular orbit of radius R and an orbit period of T. Which of the following expressions gives the mass of Jupiter? $\\textasciitilde$ $\\textasciitilde$ $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{4\\pi^{2}R}{T^{2}}$ "}], [{"aoVal": "B", "content": "$\\dfrac{2\\pi R^{3}}{(GT^{2})}$ "}], [{"aoVal": "C", "content": "$\\dfrac{4\\pi R^{2}}{(GT^{2})}$ "}], [{"aoVal": "D", "content": "$\\dfrac{4\\pi^{2} R^{3}}{(GT^{2})}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6188", "queId": "dc3f411a2bf044b0abbe240f44466293", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A packet of biscuits costs $$x$$ pence. I buy $$6$$ packets. Which expression shows how much change I will get from £$$5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5-6x$$ "}], [{"aoVal": "B", "content": "$$500-6x$$ "}], [{"aoVal": "C", "content": "$$6x-5$$ "}], [{"aoVal": "D", "content": "$$500-60x$$ "}], [{"aoVal": "E", "content": "$$6x-500$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6191", "queId": "ca1ab6c17a024e68a44b6c864b4a0afc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Mike has $2$ shirts, $5$ pens, $4$ pairs of trousers, $2$ coats, $5$ apples, $3$ hammers, and $1$ bottle. How many pieces of clothes does Mike have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$22$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6198", "queId": "e0c8d2ed5794485c943a85a6fd11b078", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The digit $$6$$ in $$28.56$$ stands for $$6$$~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "ones　 "}], [{"aoVal": "B", "content": "tenths　 "}], [{"aoVal": "C", "content": "hundredths　 "}], [{"aoVal": "D", "content": "thousandths　 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A.($$2013$$ Ai Tong School, Semestral Assessment $$2$$, Primary $$4$$, Question \\#$$5$$) "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6219", "queId": "e0da5bfe92064228a31f5f9471743eb6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate: $100 \\times 32 =$~\\uline{~~~~~~~~~~}~$\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde\\textasciitilde$$1000 \\times 72 =$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$2200$; $72000$ "}], [{"aoVal": "B", "content": "$320$; $72000$ "}], [{"aoVal": "C", "content": "$3200$; $72000$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6220", "queId": "b828a429bc344e1c976405beea5ea286", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$15\\textbackslash\\%$ of a number is $27$. What is five ninths of the number? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2.25$$ "}], [{"aoVal": "B", "content": "$$4.05$$ "}], [{"aoVal": "C", "content": "$$15$$ "}], [{"aoVal": "D", "content": "$$100$$ "}], [{"aoVal": "E", "content": "$$324$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6223", "queId": "a1cedb4f742c4e8681afe4e7c3acc3ac", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A frog fell into a drain that was 20 cm deep. After one hour, it mastered enough energy to make a jump of 6 cm but it then slid down 4 cm. If it continued in this pattern every hour, how many hours in total will it take to get out of the drain? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Number Machine"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6225", "queId": "c132659cc49a4a8cad5a159036a785d4", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "How many different real numbers~$x$~satisfy the equation~$(x^{2}-5)^{2}=16$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6226", "queId": "bcafdc5e30c6424d8966f2d47ae93cc8", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Mrs Lim had $$$99$$. She spent $$\\frac{1}{3}$$ of it on a blouse and $$\\frac{2}{9}$$ of it on a skirt. How much did she spend altogether? ", "answer_option_list": [[{"aoVal": "A", "content": "$$$22$$ "}], [{"aoVal": "B", "content": "$$$33$$ "}], [{"aoVal": "C", "content": "$$$44$$ "}], [{"aoVal": "D", "content": "$$$55$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6235", "queId": "aacd6b6eaddf4c20981031c134a313ef", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is the ratio? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5\\textasciitilde\\text{meters}:2\\textasciitilde\\text{km}$$ "}], [{"aoVal": "B", "content": "$$3\\frac{1}{4}$$ "}], [{"aoVal": "C", "content": "$$\\frac{17}{13}$$ "}], [{"aoVal": "D", "content": "$$0.8:2\\frac{5}{4}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6241", "queId": "c13d5b0063474197a244b1c8f7101789", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$12\\times 7=14+4\\times 7+$$~\\uline{~~~~~~~~~~}~$$\\times 7$$ What is the missing number in the box? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$10$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6255", "queId": "e57f83fbc10c4882acbed9d5857d4d04", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Find the opposite of $$\\textbar-0.\\overline3\\textbar$$:~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$-3$$ "}], [{"aoVal": "C", "content": "$\\frac{1}{3}$ "}], [{"aoVal": "D", "content": "$-\\frac{1}{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6256", "queId": "b83eff2bb257426eb85364b6091bfde2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$a$ and $$b$$ are reciprocals， $$\\frac{12}{a}\\div \\frac{b}{7}\\times 7=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$588$$ "}], [{"aoVal": "C", "content": "$$\\frac{12}{ab}$$ "}], [{"aoVal": "D", "content": "$$\\frac{ab}{12}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Fraction by Comparing Its Reciprocal"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6258", "queId": "d7dc00d343cd4ca89943efa6a4f18492", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Ala has $$24$$ dollars,Barb has $$66$$ dollars, and Sophia has as many dollars more than Ala as she has less than Barb. How many dollars does Sophia have? ", "answer_option_list": [[{"aoVal": "A", "content": "$$33$$ "}], [{"aoVal": "B", "content": "$$35$$ "}], [{"aoVal": "C", "content": "$$42$$ "}], [{"aoVal": "D", "content": "$$45$$ "}], [{"aoVal": "E", "content": "$$48$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Applying the Theorem of Middle Term"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6263", "queId": "ea174323a40c476b93a5aee4266c8234", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Study the number pattern below. What is the missing number? $$3, 4, 7, 11, 18, 29, ?, 76$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$30$$ "}], [{"aoVal": "B", "content": "$$67$$ "}], [{"aoVal": "C", "content": "$$47$$ "}], [{"aoVal": "D", "content": "$$45$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6270", "queId": "af5f6c3d0a264ec192b081851919ba55", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is NOT equivalent to $P\\textbackslash\\%$? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{P}{100}$ "}], [{"aoVal": "B", "content": "$0.01P$ "}], [{"aoVal": "C", "content": "$P:100$ "}], [{"aoVal": "D", "content": "$100:P$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6275", "queId": "b858542eb2f54c3a961f289e69129df8", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which fraction is equivalent to $$\\frac{25}{35}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac4{10}$$ "}], [{"aoVal": "B", "content": "$$\\frac{12}{16}$$ "}], [{"aoVal": "C", "content": "$$\\frac57$$ "}], [{"aoVal": "D", "content": "$$\\frac68$$ "}], [{"aoVal": "E", "content": "$$\\frac75$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"], "answer_analysis": ["N/A． "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6285", "queId": "cee6ee3712a74b649d338abe51e7035f", "competition_source_list": ["其它"], "difficulty": "3", "qtype": "single_choice", "problem": "A distribution of test scores can be described as N(77, 8). If the distribution is represented as X, which of the following answer choices would be equivalent to P(X \\textless{} 65)? ", "answer_option_list": [[{"aoVal": "A", "content": "P(X\\textgreater65) "}], [{"aoVal": "B", "content": "P(X\\textgreater85) "}], [{"aoVal": "C", "content": "P(65\\textless X\\textgreater89) "}], [{"aoVal": "D", "content": "1-P(X\\textgreater89) "}], [{"aoVal": "E", "content": "P(X\\textgreater89) "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6286", "queId": "fc888b3857a143b3ac70010cc92cfd45", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which Law is used in the following calculation: $$1.25+3.33+8.75=3.33+(1.25+8.75)$$? ", "answer_option_list": [[{"aoVal": "A", "content": "The Commutative Law of Addition "}], [{"aoVal": "B", "content": "The Associative Law of Addition "}], [{"aoVal": "C", "content": "Both "}], [{"aoVal": "D", "content": "None "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6294", "queId": "f3533ff4a6a44cd1810cfd11744ba6ba", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Given that $$p:q=5:2$$ and $$q:r=3:4$$, express $$r$$ as a fraction of $$p$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{3}{5}$$ "}], [{"aoVal": "B", "content": "$$\\frac{8}{15}$$ "}], [{"aoVal": "C", "content": "$$\\frac{4}{5}$$ "}], [{"aoVal": "D", "content": "$$\\frac{5}{4}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6296", "queId": "cef3120c07164a9489fdfa6d35ac3835", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Each cantaloupe melon costs £1.04. Mark buys eight and pays with a~£$$10$$ note. All the change he gets is coins. What is the smallest number of coins that he can receive in change? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$7$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money"], "answer_analysis": ["N/A.　 "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6301", "queId": "f35cb0e7ebd54791815ad44e42355bb0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In Mathematics, the product of the first $$n$$ whole numbers starting from $$1$$ is written as $$n!=1\\times2\\times3\\times \\cdots \\times n$$. For example, $$2!=1\\times2$$ and $$7!=1\\times2\\times3\\times4\\times5\\times6\\times7$$. The number of hours in September can be written as $$n!$$. Find the value of $$n$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6304", "queId": "b3fe49db6a6a46e5968ce4ad21ba8eac", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In $$26.73$$, the digit $$3$$ has the value of ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$0.3$$ "}], [{"aoVal": "C", "content": "$$0.03$$ "}], [{"aoVal": "D", "content": "$$0.003$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6317", "queId": "cf00ee35d8314d24b7f3c9681b6139e0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "An airplane lands on a runway with a velocity of 150 m/s. how far~will it travel until it stops if its rate of deceleration is constant at -3m/s\\textsuperscript{2}? 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Revise from (GL Assessment book$$1$$《Paper $$2$$》 $$6$$ years Question \\#$$15$$) "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6325", "queId": "fca5c831f1b74d18a410e474fba24de2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is the smallest? 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The probabilities of failure for each component in any one vear are 0.01, 0.03, and 0.04, respectively. If any one component fails, the device will fail. If the components fail independently of one another, what is the probability that the device will \\uline{not} fail in one year？ ", "answer_option_list": [[{"aoVal": "A", "content": "Less than 0.01 "}], [{"aoVal": "B", "content": "$$0.078$$ "}], [{"aoVal": "C", "content": "$$0.080$$ "}], [{"aoVal": "D", "content": "$$0.922$$ "}], [{"aoVal": "E", "content": "Greater than 0.99 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6417", "queId": "c65fc02df050487ca4189484e155c193", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The value of the expression $$\\frac{2003+2003+2003+2003+2003}{2003+2003}$$ is equal to:~\\uline{~~~~~~~~~~}~. ($$2003$$ Math Kangaroo Problem, Level $$5-6$$, Question \\#$$8$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$2003$$ "}], [{"aoVal": "B", "content": "$\\dfrac{1}{3}$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$\\dfrac{5}{2}$ "}], [{"aoVal": "E", "content": "$$6009$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6418", "queId": "bd667bb4a83c4a0ca03a61f4317d8e88", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The distribution of heights of 6-year-old girls is approximately normally distributed with a mean of 46.0 inches and a standard deviation of 2.7 inches. Aliyaah is 6 years old, and her height is 0.96 standard deviation above the mean. Her friend Jayne is also 6 years old and is at the 93rd percentile of the height distribution. At what percentile is Aliyaah\\textquotesingle s height, and how does her height compare to Jayne\\textquotesingle s height? ", "answer_option_list": [[{"aoVal": "A", "content": "Aliyaah\\textquotesingle s height is at the 17th percentile of the distribution, and she is shorter than Jayne. "}], [{"aoVal": "B", "content": "Aliyaah\\textquotesingle s height is at the 67th percentile of the distribution, and she is shorter than Jayne. "}], [{"aoVal": "C", "content": "Aliyaah\\textquotesingle s height is at the 67th percentile of the distribution, and she is taller than Jayne. "}], [{"aoVal": "D", "content": "Aliyaah\\textquotesingle s height is at the 83rd percentile of the distribution, and she is shorter than Jayne. "}], [{"aoVal": "E", "content": "Aliyaah\\textquotesingle s height is at the 83rd percentile of the distribution, and she is taller than Jayne. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6423", "queId": "c666b301f9c54bdcaf2d8508d30fe732", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the next term in the following sequence. $$1$$, $$2$$, $$6$$, $$24$$, $$120$$,~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$720$$ "}], [{"aoVal": "B", "content": "$$810$$ "}], [{"aoVal": "C", "content": "$$560$$ "}], [{"aoVal": "D", "content": "$$640$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6426", "queId": "eaac6c51dc204cd187f2d259c95a84e0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The area formula of the triangle is $$A=\\frac{1}{2}ab$$, there is(are) variable(s). ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6429", "queId": "dd0b1ba41e0f4e90893d7593df863c2f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Mike draws a shape with four sides of equal length. The shape has exactly two lines of symmetry. What shape has Mike drawn? ", "answer_option_list": [[{"aoVal": "A", "content": "Square "}], [{"aoVal": "B", "content": "Rectangle "}], [{"aoVal": "C", "content": "Trapezium "}], [{"aoVal": "D", "content": "Pentagon "}], [{"aoVal": "E", "content": "Rhombus "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6436", "queId": "ef4337085f4d4f87817d0f1ace403b59", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which measurement is the same as $3.5\\text{m}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$350\\text{cm}$ "}], [{"aoVal": "B", "content": "$0.35\\text{km}$ "}], [{"aoVal": "C", "content": "$350000\\text{mm}$ "}], [{"aoVal": "D", "content": "$3500\\text{cm}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6448", "queId": "c1ff73736d004640a613b1cee302922f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Using the same amount of time and resources, Jack can assemble either 10 bikes or 5 computers, whereas Sam can assemble either 5 bikes or 5 computers. Based on the data, which of the following statements is correct? ", "answer_option_list": [[{"aoVal": "A", "content": "Sam has an absolute advantage in assembling bikes. "}], [{"aoVal": "B", "content": "Sam has an absolute advantage in assembling computers. "}], [{"aoVal": "C", "content": "Sam has a comparative advantage in assembling bikes. "}], [{"aoVal": "D", "content": "Jack has a comparative advantage in assembling bikes. "}], [{"aoVal": "E", "content": "Jack has a comparative advantage in assembling both bikes and computers. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6452", "queId": "c67f40901a13463fba7667684f222f74", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "19+23-21，$$Which$$ country does the number \"19\" from? ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$ "}], [{"aoVal": "B", "content": "$$-$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6454", "queId": "cb03b27ff4ad47b2be772c06da661ba5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Who is right? Anna: \"The largest number possible has $$6$$ digits.\" Boris: \"The largest number possible has $$1000$$ digits.\" Caroline: \"The largest number possible can be only written with the $$9$$ digits.\" Daniel: \"The largest number possible cannot be written.\" Else: \"The largest number possible has $$0$$ as the last digit.\"~($$2006$$ Math Kangaroo Problem, Level $$1-2$$, Question \\#$$21$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$$$Anna "}], [{"aoVal": "B", "content": "$$$$Boris "}], [{"aoVal": "C", "content": "$$$$Caroline "}], [{"aoVal": "D", "content": "$$$$Daniel "}], [{"aoVal": "E", "content": "$$$$Else "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Whole Numbers"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6456", "queId": "b9049406f3244b30bae13ed5c88a702e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A produce supplier ships boxes of produce to individual customers. The distribution of weights of shipped boxes is approximately normal with mean 36 pounds and standard deviation 4 pounds. Which expression represents the weight, in pounds, at the 75th percentile of the distribution? ", "answer_option_list": [[{"aoVal": "A", "content": "-1.96(4) + 36 "}], [{"aoVal": "B", "content": "-0.25(4) + 36 "}], [{"aoVal": "C", "content": "0.25(4) + 36 "}], [{"aoVal": "D", "content": "0.67(4) + 36 "}], [{"aoVal": "E", "content": "0.75(4) + 36 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6460", "queId": "d415e15f7189434e921a00309ffdb035", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following numbers\\textquotesingle{} value does not change after removing all ``$$0$$''s ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$120.221$$ "}], [{"aoVal": "B", "content": "$$4.401$$ "}], [{"aoVal": "C", "content": "$$2424.390$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6462", "queId": "f893a6058ad54d48ae99c58d0c6d37d9", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$\\textasciitilde$ Which of the following numbers when rounded off to the nearest ten becomes $$26500$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$26449$$ "}], [{"aoVal": "B", "content": "$$26495$$ "}], [{"aoVal": "C", "content": "$$26507$$ "}], [{"aoVal": "D", "content": "$$26563$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Estimation->Estimating the Results of Computations->Rounding Whole Numbers", "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"], "answer_analysis": ["N/A.　 "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6463", "queId": "d4188981f3e14596bfb05e75aa9f1dd5", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Dean swims for $72$ minutes. To keep his mind active, he works out what fraction of the total time has passed at each half minute and minute from the start. How many of the results of his calculations can be expressed in the form $\\frac{1}{n}$, where $n$ is an integer greater than $1$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$12$$ "}], [{"aoVal": "B", "content": "$$13$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Factorization"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6465", "queId": "b9100459f5ad4e11b3c29b2f72366e6f", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Stamps cost $65$p each. How many stamps can Peter purchase with a £$5$ note? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$6$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6477", "queId": "f3fa6eae77364378a9661e8b7d18903e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the value of $$3^{5}+3^{5}+3^{5}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3^{8}$$ "}], [{"aoVal": "B", "content": "$$3^{15}$$ "}], [{"aoVal": "C", "content": "$$3^{125}$$ "}], [{"aoVal": "D", "content": "$$3^{6}$$ "}], [{"aoVal": "E", "content": "$5^{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6483", "queId": "c21f8fe8cb11438cbb55fd32cd71c951", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Express $$1.6$$ as a percentage. ", "answer_option_list": [[{"aoVal": "A", "content": "$$160\\textbackslash\\%$$ "}], [{"aoVal": "B", "content": "$$16\\textbackslash\\%$$ "}], [{"aoVal": "C", "content": "$$0.16\\textbackslash\\%$$ "}], [{"aoVal": "D", "content": "$$0.016\\textbackslash\\%$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6488", "queId": "fd3bbf7bc4664d218ef8c8a905b25373", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "when we know the total number, and want to part of it,which operation should be used? ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$ "}], [{"aoVal": "B", "content": "$$-$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6492", "queId": "c227884482c245389e74fc8265e47f82", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "$$2$$ fives $$=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6495", "queId": "e658e8ed5bb047b3bb29805ac3fdc2dd", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean\\textquotesingle s weekly income is approximately normal with mean $\\textbackslash$$225 and standard deviation $\\textbackslash$$25. The distribution of Evan\\textquotesingle s weekly income is approximately normal with mean $\\textbackslash$$240 and standard deviation $\\textbackslash$$15. Assuming their weekly incomes are independent of each other, which of the following is closest to the probability that Sean will have a greater income than Evan in a randomly selected week? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.067$$ "}], [{"aoVal": "B", "content": "$$0.159$$ "}], [{"aoVal": "C", "content": "$$0.227$$ "}], [{"aoVal": "D", "content": "$$0.303$$ "}], [{"aoVal": "E", "content": "$$0.354$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6497", "queId": "bdae35b3f95144d195030265a295de24", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "For a Fibonacci sequence, from the third term, each term in the sequence is the sum of the previous two terms in that sequence. Given that in a Fibonacci sequence, the fifth term is $17$ and the sixth term is $27$. What is the first term in this Fibonacci sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6498", "queId": "eaec540056834541851bc5ee385602e2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How many numbers from $$2$$ to $$99$$ are equal to the square of an integer?　 ", "answer_option_list": [[{"aoVal": "A", "content": "$$99$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$8$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Application of Powers"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6500", "queId": "ef7a35f955294ba789cd42ba0e8a9ebb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Originally, Andy and Bill had the same salary, which was $$\\textbackslash$6000$$ per month. Recently, Andy gets a promotion and his salary is $$150\\textbackslash\\%$$ of the original salary. On the other hand, Bill made a mistake at work. Now, His salary is $$90\\textbackslash\\%$$ of the original salary.What is the difference between Andy\\textquotesingle s and Bill\\textquotesingle s monthly salary now? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\textbackslash$2667$$ "}], [{"aoVal": "B", "content": "$$\\textbackslash$3600$$ "}], [{"aoVal": "C", "content": "$$\\textbackslash$6000$$ "}], [{"aoVal": "D", "content": "$$\\textbackslash$14400$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6503", "queId": "dd4ae71e4ad14c588bb9a9b609d5dc41", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Two wodgets make a finkle. Five finkles make a splot. Three splots make a tink. Howmany wodgets make four tinks? ", "answer_option_list": [[{"aoVal": "A", "content": "$$30$$ "}], [{"aoVal": "B", "content": "$$120$$ "}], [{"aoVal": "C", "content": "$$60$$ "}], [{"aoVal": "D", "content": "$$14$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Substituting the Values into the Expressions"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6504", "queId": "cb3434774c644aaaba42d4ccff45e16b", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Which of these is the smallest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.0801$$ "}], [{"aoVal": "B", "content": "$$0.801$$ "}], [{"aoVal": "C", "content": "$$0.081$$ "}], [{"aoVal": "D", "content": "$$0.08$$ "}], [{"aoVal": "E", "content": "$$0.0888$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6505", "queId": "f8b67ca2f7b9403d8ed0d727ca9a5e91", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "When 0.000315 is multiplied by 7,928,564 the product is closest to which of the following? ", "answer_option_list": [[{"aoVal": "A", "content": "$$210$$ "}], [{"aoVal": "B", "content": "$$240$$ "}], [{"aoVal": "C", "content": "$$2100$$ "}], [{"aoVal": "D", "content": "$$2400$$ "}], [{"aoVal": "E", "content": "$$24000$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6509", "queId": "cfb70c3d209d48e5bb31eb8dca417461", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Three football teams participate in a sport tournament. Each team plays the other two teams exactly once. In each game, the winner gets three points and the loser doesn\\textquotesingle t get any points. If the game ends in a tie, each team gets 1 point. At the end of tournament, Which number of points is it impossible for any team to have? (2022 Math Kangaroo Problem, Level 3-4, Question \\#18) ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}], [{"aoVal": "F", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6510", "queId": "dd51baa87b4c44e6b7041cb2b8dae8ab", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Carol is $x$ years old. Sam is $5$ years older than Carol. Sam's age in years is． ", "answer_option_list": [[{"aoVal": "A", "content": "$x -- 5$ "}], [{"aoVal": "B", "content": "$$5x$$ "}], [{"aoVal": "C", "content": "$x + 5$ "}], [{"aoVal": "D", "content": "$5 -- x$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6512", "queId": "ef87ea353bb947d5a5289a08504835bd", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following decimals is the smallest? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6.05$$ "}], [{"aoVal": "B", "content": "$$6.15$$ "}], [{"aoVal": "C", "content": "$$6.051$$ "}], [{"aoVal": "D", "content": "$$6.015$$ "}], [{"aoVal": "E", "content": "$$6.105$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6515", "queId": "fd57d31f60604e17994357dc34457f27", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "Cart A moves horizontally on a frictionless track. It collides and sticks to identical cart B, which is at rest. The speed of cart A before the collision is measured to be 3.0 m/s , with an uncertainty of\\uline{+}~0.2 m/s. Students are asked to predict the speed of the carts after the collision. Given the uncertainty of the measurement for the speed ofcart A, which of the following is the best prediction? ", "answer_option_list": [[{"aoVal": "A", "content": "1.1 to 1.9 m/s "}], [{"aoVal": "B", "content": "1.2 to 1.8 m/s "}], [{"aoVal": "C", "content": "1.3 to 1.7 m/s "}], [{"aoVal": "D", "content": "1.4 to 1.6 m/s "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6518", "queId": "d447988a67794174bcd201d82597c079", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Compare: $3 \\times (5 \\times 6)$~\\uline{~~~~~~~~~~}~$(3 \\times 5) \\times 6$ ", "answer_option_list": [[{"aoVal": "A", "content": "$\\textgreater$ "}], [{"aoVal": "B", "content": "$\\textless$ "}], [{"aoVal": "C", "content": "$$=$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6519", "queId": "f42275612500485ab3193996f5bdf4d8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The volume formula of the cube is $$V=l^{3}$$. Which of the following quantities is the independent variable? ", "answer_option_list": [[{"aoVal": "A", "content": "$$V$$ "}], [{"aoVal": "B", "content": "$$l$$ "}], [{"aoVal": "C", "content": "$$l^{3}$$ "}], [{"aoVal": "D", "content": "The volume "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6523", "queId": "c6c58d6595b94e93ad00d1338488557e", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "What is $25\\textbackslash\\%$ of £$84$? ", "answer_option_list": [[{"aoVal": "A", "content": "£$59$ "}], [{"aoVal": "B", "content": "£$21$ "}], [{"aoVal": "C", "content": "£$109$ "}], [{"aoVal": "D", "content": "£$42$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": [" "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6525", "queId": "d453009c7c904ca5b0ea6222146e5991", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "($2$) Brenda bought $12$ boxes of sweets. Each box has $26$ sweets. How many sweets are there in total? ", "answer_option_list": [[{"aoVal": "A", "content": "$$52$$ "}], [{"aoVal": "B", "content": "$$78$$ "}], [{"aoVal": "C", "content": "$$212$$ "}], [{"aoVal": "D", "content": "$$312$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6526", "queId": "cb4d268d71c24dfa93626da1951189fc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A book has $$80$$ pages. On day 1, Danny read $$15\\textbackslash\\%$$ of the book. On day 2, he read $$25\\textbackslash\\%$$ of the book. How many pages are left to read． ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$32$$ "}], [{"aoVal": "C", "content": "$$48$$ "}], [{"aoVal": "D", "content": "$$12$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6528", "queId": "dd65d6e6c5244919b5410465d303168e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is the simplest form for $$\\frac{56}{80}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{14}{20}$$ "}], [{"aoVal": "B", "content": "$$\\frac{1}{10}$$ "}], [{"aoVal": "C", "content": "$$\\frac{28}{40}$$ "}], [{"aoVal": "D", "content": "$$\\frac{7}{10}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6537", "queId": "cb5949711c374e7ea3dd166b87f28b87", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following equations is equivalent to $x=3$ ", "answer_option_list": [[{"aoVal": "A", "content": "$x+3=0$ "}], [{"aoVal": "B", "content": "$4x=16$ "}], [{"aoVal": "C", "content": "$x-3=3-3$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6538", "queId": "e1f68f0f3c52467881addf8dfcf06cb0", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is $7.469$ rounded to the nearest tenth? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$7.46$$ "}], [{"aoVal": "C", "content": "$$7.4$$ "}], [{"aoVal": "D", "content": "$$7.47$$ "}], [{"aoVal": "E", "content": "$$7.5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6539", "queId": "d8e974bb746b4397bcd06a7731254dee", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which improper fraction is equivalent to $2\\frac34$? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{11}{2}$ "}], [{"aoVal": "B", "content": "$\\frac{15}{6}$ "}], [{"aoVal": "C", "content": "$\\frac{22}{8}$ "}], [{"aoVal": "D", "content": "$\\frac{22}{4}$ "}], [{"aoVal": "E", "content": "$\\frac{11}{8}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6543", "queId": "d46468bc069f4d91bb4c5ff427d1235f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Tom shared $72$ pictures with his friends equally. He also got some and there was not any pictures left. Which of the following was definitely not the number of his friends? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$7$$ "}], [{"aoVal": "E", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6544", "queId": "d8ed9cbb505940e1af3571291602bd1e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The distribution of weights of female college cross-country runners is approximately normal with mean 122 pounds and standard deviation 8 pounds. Which of the following is closest to the percent of the runners who weigh between 114 pounds and 138 pounds? ", "answer_option_list": [[{"aoVal": "A", "content": "18\\% "}], [{"aoVal": "B", "content": "32\\% "}], [{"aoVal": "C", "content": "68\\% "}], [{"aoVal": "D", "content": "82\\% "}], [{"aoVal": "E", "content": "95\\% "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6547", "queId": "cfe0793fea294ab9bd5ff5102663e956", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following values of $x$ is not a solution to the equation $\\sqrt{x^{2}}=x$ ? $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$-1$$ "}], [{"aoVal": "B", "content": "$$0$$ "}], [{"aoVal": "C", "content": "$$1$$ "}], [{"aoVal": "D", "content": "$$999$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6550", "queId": "e200a01bd975483c895476d266e2f407", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$213-m=189$ What is the value of $m$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$26$$ "}], [{"aoVal": "B", "content": "$$16$$ "}], [{"aoVal": "C", "content": "$$32$$ "}], [{"aoVal": "D", "content": "$$-24$$ "}], [{"aoVal": "E", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6553", "queId": "cfe293df129848828d20ea89aeae8ca8", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Is $$123+12+1 = 111+22+3$$? ", "answer_option_list": [[{"aoVal": "A", "content": "Yes "}], [{"aoVal": "B", "content": "No "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6555", "queId": "c6e09b1a71f0408d88079eaf668c3446", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Compare the values of $${{2}^{60}}$$, $${{3}^{45}}$$ and $${{5}^{30}}$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$${{3}^{45}} ~\\textless{} ~{{5}^{30}} ~\\textless{} ~{{2}^{60}}$$ "}], [{"aoVal": "B", "content": "$${{2}^{60}} ~\\textless{} ~{{3}^{45}} ~\\textless{} ~{{5}^{30}}$$ "}], [{"aoVal": "C", "content": "$${{2}^{60}} ~\\textless{} ~{{5}^{30}} ~\\textless{} ~{{3}^{45}}$$ "}], [{"aoVal": "D", "content": "$${{5}^{30}} ~\\textless{} ~{{2}^{60}} ~\\textless{} ~{{3}^{45}}$$ "}], [{"aoVal": "E", "content": "$${{3}^{45}} ~\\textless{} ~{{2}^{60}} ~\\textless{} ~{{5}^{30}}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6558", "queId": "f8e974d250674dbd834d4931a630c9b5", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A group of students wanted to investigate the claim that the average number of text messages sent yesterday by students in their school was greater than 100. They asked each student in a random sample of 50 students how many text messages he or she sent yesterday. An appropriate t-test was conducted and resulted in a p-value of 0.0853. Assuming the conditions for the t-test were met, which of the following is an appropriate conclusion? ", "answer_option_list": [[{"aoVal": "A", "content": "Because p \\textless{} 0.10, at the 10\\% significance level, it can be concluded that the mean number of text messages sent yesterday by students in the school is less than 100. "}], [{"aoVal": "B", "content": "Because p \\textless{} 0.10, at the 10\\% significance level, it cannot be concluded that the mean number of text messages sent yesterday by students in the school is greater than 100. "}], [{"aoVal": "C", "content": "Because p \\textgreater{} 0.05, at the 5\\% significance level, it can be concluded that the mean number of text messages sent yesterday by students in the school is greater than 100. "}], [{"aoVal": "D", "content": "Because p \\textgreater{} 0.05, at the 5\\% significance level, it can be concluded that the mean number of text messages sent yesterday by students in the school is less than 100. "}], [{"aoVal": "E", "content": "Because p \\textgreater{} 0.05, at the 5\\% significance level, it cannot be concluded that the mean number of text messages sent yesterday by students in the school is greater than 100. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6561", "queId": "e20dfd1b70c243e7b4a988953ea2297c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Derrick lists down all whole numbers from $$1$$ to $$20$$. Lisa selects all odd numbers and adds them up. Aisha selects all the even numbers and adds them up. What is the difference between Aisha\\textquotesingle s and Lisa\\textquotesingle s sums? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6564", "queId": "d47c8855d4a24cbcbefc78e51e59ecbc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Each of the numbers $$138$$ and $$243$$ has digits whose product is $$24$$ How many three-digit numbers are there whose digits have a product of $$24$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$8$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$18$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6566", "queId": "cff66cedeb0f4dc7a44ac3660604c927", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find the quotient and remainder of $$64\\div5$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$13$ R $$1$$ "}], [{"aoVal": "B", "content": "$$12$$ R $0$ "}], [{"aoVal": "C", "content": "$10$ R $$14$$ "}], [{"aoVal": "D", "content": "$12$ R $$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6568", "queId": "dd907baf8d144111ac63039214179de6", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which one of the folowing fractions is in its simplest form? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{2}{10}$$ "}], [{"aoVal": "B", "content": "$$\\frac{3}{9}$$ "}], [{"aoVal": "C", "content": "$$\\frac{5}{6}$$ "}], [{"aoVal": "D", "content": "$$\\frac{6}{8}$$ "}]], "knowledge_point_routes": ["Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Basic Properties of Fractions->Simplest Form of Fraction", "Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6571", "queId": "eb3bdb8718b842eba28dbaaa38653847", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Julia bought $1$ pen, $3$ erasers and $1$ pencil box, which cost a total of $$1$6$$. Clair bought $2$ pens and $1$ pencil box, which cost $$$3$$ less than Julia. The unit price of pencil box is $$$3$$ higher than that of eraser. How much does it cost to buy $2$ pens, $1$ eraser and $1$ pencil box? ", "answer_option_list": [[{"aoVal": "A", "content": "$$$5$$ "}], [{"aoVal": "B", "content": "$$$13$$ "}], [{"aoVal": "C", "content": "$$$14$$ "}], [{"aoVal": "D", "content": "$$$15$$ "}], [{"aoVal": "E", "content": "$$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6573", "queId": "f900af20d73c4482aee03b55a6aaba35", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Find: $$\\frac{3}{7}\\div 4=$$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac {12}{7}$$ "}], [{"aoVal": "B", "content": "$$\\frac {3}{11}$$ "}], [{"aoVal": "C", "content": "$$1$$ "}], [{"aoVal": "D", "content": "$$\\frac 3{28}$$ "}], [{"aoVal": "E", "content": "$$\\frac {12}{28}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6577", "queId": "d913591435d8483b828f5fade698178c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "If a 2\\% change in the price of a good leads to a 10\\% change in the quantity demanded of a good, what is the price elasticity of demand? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.02$$ "}], [{"aoVal": "B", "content": "$$0.2$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6583", "queId": "c706e456651d4c8ba33fe4edd68cd701", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Denise fired a silver rocket and a gold rocket at the same time. The rockets exploded into 20 stars in total. The gold rocket exploded into 6 more stars than the silver one. How many stars did the gold rocket explode into? (2021 Math Kangaroo Problem, Level 3-4, Question \\#7) ", "answer_option_list": [[{"aoVal": "A", "content": "$$9$$ "}], [{"aoVal": "B", "content": "$$10$$ "}], [{"aoVal": "C", "content": "$$12$$ "}], [{"aoVal": "D", "content": "$$13$$ "}], [{"aoVal": "E", "content": "$$15$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6584", "queId": "dda37257471d456e89b2b3aff06d1184", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Tom and Tiffany each picks a natural number. Tom writes the number $100$ times. After multipling them together, Tom gets a result $1.$ Tiffany write the number she picks $100$ times. After adding up them together, Tiffany gets a result $0.$ What is the difference between the two natural numbers? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$0$$ "}], [{"aoVal": "C", "content": "$$10$$ "}], [{"aoVal": "D", "content": "$$100$$ "}], [{"aoVal": "E", "content": "$$2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6597", "queId": "cb9617a5ed3640df8fdbe418026eaf05", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Choose the answer to this calculation. $$67.9-32.68$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$35.32$$ "}], [{"aoVal": "B", "content": "$$34.22$$ "}], [{"aoVal": "C", "content": "$$35.02$$ "}], [{"aoVal": "D", "content": "$$35.22$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"], "answer_analysis": ["N/A. 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", "answer_option_list": [[{"aoVal": "A", "content": "$3x-2$ "}], [{"aoVal": "B", "content": "$2x+\\frac{y+1}{2}$ "}], [{"aoVal": "C", "content": "$$4a+\\frac{3}{b}$$ "}], [{"aoVal": "D", "content": "$51$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6617", "queId": "d93d7fac5ac6459e9b48ae9e9a6d8b5e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$48\\times950=45600$$. What is $$4.8\\times9.5$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$4.56$$ "}], [{"aoVal": "B", "content": "$$45.6$$ "}], [{"aoVal": "C", "content": "$$456$$ "}], [{"aoVal": "D", "content": "$$0.456$$ "}], [{"aoVal": "E", "content": "$$54.6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"], "answer_analysis": ["N/A. 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"], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6627", "queId": "f93c8a0deb484da1969fed830f0a4a3e", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "A simple pendulum swings about the vertical equilibrium position with a maximum angular displacement of $$5^{\\circ} $$ and period T. If the same pendulum is given a maximum angular displacement of $$ 10^{\\circ} $$, then which of the following best gives the period of the oscillations? $\\textasciitilde$ $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$ \\frac{T}{2} $$ "}], [{"aoVal": "B", "content": "$$ \\frac{T}{\\sqrt{2}} $$ "}], [{"aoVal": "C", "content": "$$T$$ "}], [{"aoVal": "D", "content": "$$2T$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Scaling"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6628", "queId": "e25c86b182104690b32288ebfc011118", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "A bag of flour weighs $1.5\\rm kg$. Bud uses $300\\rm g$ of flour to make a strawberry cake and a further $150\\rm g$ of flour to make biscuits. What fraction of the bag of flour has she used? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac37$ "}], [{"aoVal": "B", "content": "$\\frac13$ "}], [{"aoVal": "C", "content": "$\\frac{7}{15}$ "}], [{"aoVal": "D", "content": "$\\frac{3}{10}$ "}], [{"aoVal": "E", "content": "$\\frac{4}{15}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6633", "queId": "d044563ef41e44deab781ce3314b619e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate the sum of the following mixed fractions. $\\textasciitilde$ $1\\frac{1}{3} + 2\\frac{9}{12} + 3\\frac{3}{5} + 4\\frac{1}{4} + 5\\frac{4}{6} + 6\\frac{10}{25}$ =~\\uline{~~~~~~~~~~}~ $\\textasciitilde$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$18$$ "}], [{"aoVal": "B", "content": "$$21$$ "}], [{"aoVal": "C", "content": "21$\\frac{7}{12}$ "}], [{"aoVal": "D", "content": "$$24$$ "}], [{"aoVal": "E", "content": "$$27$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6637", "queId": "dde58986de81428788e0d8e527628ba4", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "The largest one-digit number is~\\uline{~~~~~~~~~~}~, and the least two-digit number is~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$1;~10$ "}], [{"aoVal": "B", "content": "$9;~10$ "}], [{"aoVal": "C", "content": "$9; 99$ "}], [{"aoVal": "D", "content": "$10; 9$ "}], [{"aoVal": "E", "content": "$10; 1$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6640", "queId": "f4b3ce16525549e4983b5ae420a547c7", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Henry has $8$ dollars. He is going to buy $5$ bowls which cost $90$ cents each and a certain number of~ glasses which cost $1.2$ dollars each. How many glasses at most can he buy? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}], [{"aoVal": "E", "content": "$$5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6641", "queId": "dde89f150ad64fe8b89e200eaab9915e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Three athletes, Jay, Kevin, Larry and Mars, took part in a marathon race. In the beginning, Jay, Kevein, Larry and Mars were in the first, second, third and fourth place respectively. Then, the second to last player passed one player ahead of him. Next the last player passed three players ahead of him. After that, the third player passed two players ahea of him. In what order did they finish?　 ", "answer_option_list": [[{"aoVal": "A", "content": "Jay, Kevin, Larry and Mars "}], [{"aoVal": "B", "content": "Larry,~ Mars, Jay, Kevin "}], [{"aoVal": "C", "content": "Larry, Kevin, Jay, Mars "}], [{"aoVal": "D", "content": "Mars, Jay, Larry, Kevin "}], [{"aoVal": "E", "content": "Mars, Larry, Jay, Kevin "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6644", "queId": "ddf5f995241b4b17b6c984374d96b4c4", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Hou many minutes are there in four hours? 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"], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6656", "queId": "d4f546e84d2345669a58c610c5eb1f13", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The sum of two fractions is $$4\\frac{2}{3}$$. If the smaller fraction is $$1\\frac{1}{4}$$, what is the difference of the two fractions? Leave your answer as a mixed number. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2\\frac{1}{6}$$ "}], [{"aoVal": "B", "content": "$$3\\frac{5}{12}$$ "}], [{"aoVal": "C", "content": "$$4\\frac{5}{12}$$ "}], [{"aoVal": "D", "content": "$$5\\frac{11}{12}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6660", "queId": "ebaf7333fc464dcfa5589f604e71bf6d", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is equivalent to the given expression $\\frac{(\\frac{x^{2}}{y})}{y}$? ", "answer_option_list": [[{"aoVal": "A", "content": "x^{2} "}], [{"aoVal": "B", "content": "$\\frac{x^{2}}{y^{2}}$ "}], [{"aoVal": "C", "content": "$$1$$ "}], [{"aoVal": "D", "content": "$$0$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6661", "queId": "de06d28a3db34808bbbbdcf7542505a2", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of these numbers is less than its reciprocal? ", "answer_option_list": [[{"aoVal": "A", "content": "$$-2$$ "}], [{"aoVal": "B", "content": "$$-1$$ "}], [{"aoVal": "C", "content": "$$0$$ "}], [{"aoVal": "D", "content": "$$1$$ "}], [{"aoVal": "E", "content": "$$2$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Fraction by Comparing Its Reciprocal"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6662", "queId": "ebb13799244d451da372e086f82e6cbc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Convert $\\frac{4}{9}$ to a repeating decimal:~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$0.4444$ "}], [{"aoVal": "B", "content": "$0.4445$ "}], [{"aoVal": "C", "content": "$0.\\overline 4$ "}], [{"aoVal": "D", "content": "$\\overline{0.4}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6671", "queId": "f4e510beda564a18a84366fbdf045817", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The probability that a new microwave oven will stop working in less than 2 vears is 0.05. The probability that a new microwave oven is damaged during delivery and stops working in less than 2 vears is 0.04. The probability that a new microwave oven is damaged during delivery is 0. 10. Given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.05$$ "}], [{"aoVal": "B", "content": "$$0.06$$ "}], [{"aoVal": "C", "content": "$$0.10$$ "}], [{"aoVal": "D", "content": "$$0.40$$ "}], [{"aoVal": "E", "content": "$$0.50$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6672", "queId": "e7324ced91ee4e8b9af8c25cac45d729", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which fraction is equivalent to $$\\frac{42}{54}$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac79$$ "}], [{"aoVal": "B", "content": "$$\\frac{6}{7}$$ "}], [{"aoVal": "C", "content": "$$\\frac1{12}$$ "}], [{"aoVal": "D", "content": "$$\\frac{21}{27}$$ "}], [{"aoVal": "E", "content": "$$\\frac97$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions"], "answer_analysis": ["N/A． "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6675", "queId": "de1f6199612746e29066893be4f2a479", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Observe the following sequence and find the missing term. $$5$$, $$14$$, $$23$$, $$32$$,~\\uline{~~~~~~~~~~}~, $$50$$, $$59$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$36$$ "}], [{"aoVal": "B", "content": "$$38$$ "}], [{"aoVal": "C", "content": "$$41$$ "}], [{"aoVal": "D", "content": "$$44$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6679", "queId": "fe26a460ba2a456a91dfbe29460f7ad3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "To solve $x^{}m\\cdot (\\frac{1}{x})^{}n$, we multiply the (~\\uline{~~~~~~~~~~~~~~~~~~~~}~)while keeping the (~\\uline{~~~~~~~~~~~~~~~~~~~~}~) . ", "answer_option_list": [[{"aoVal": "A", "content": "base number, exponent "}], [{"aoVal": "B", "content": "exponent, base number "}], [{"aoVal": "C", "content": "I don\\textquotesingle t know "}], [{"aoVal": "D", "content": "I am gonna need a calculator "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6681", "queId": "f98ebfd44e344bba955ddc0afdac3e5c", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Consider a cross between pea plants. One parent has yellow seeds and the other parent has green seeds.~ If of the 20 offspring, 11 have yellow seeds and 9 have green seeds, what is the most likely genotypes of the parents? ", "answer_option_list": [[{"aoVal": "A", "content": "YY x yy "}], [{"aoVal": "B", "content": "Yy x Yy "}], [{"aoVal": "C", "content": "Yy x yy "}], [{"aoVal": "D", "content": "yy x yy "}], [{"aoVal": "E", "content": "YY x Yy "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6682", "queId": "f4f368428cf14b2183521391844f2d15", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What is the value of the following sum? $$2814+3700+4609+8211+9106-22900$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4450$$ "}], [{"aoVal": "B", "content": "$$4540$$ "}], [{"aoVal": "C", "content": "$$5540$$ "}], [{"aoVal": "D", "content": "$$5450$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6683", "queId": "fe29e3d07b2b45c2997a5dbe7df9eec5", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The first element of an arithmetic sequence is $$\\frac{1}{3}$$ and the third element is $$\\frac{1}{5}$$. What is the second element of this sequence? ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{1}{4}$$ "}], [{"aoVal": "B", "content": "$$\\frac{4}{15}$$ "}], [{"aoVal": "C", "content": "$$\\frac{5}{24}$$ "}], [{"aoVal": "D", "content": "$$\\frac{7}{30}$$ "}], [{"aoVal": "E", "content": "$$\\frac{2}{9}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6684", "queId": "f4f4a607caca466fadd8d55b65797058", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The last five digits of Zoe\\textquotesingle s phone number are $2$, $3$, $4$, $6$, and $8$. If four of these five numbers are filled in the square~$$\\huge\\square+\\square =\\square +\\square $$, which number is not used?~(Adapted from 2017 Math Kangaroo Problem, Level 1-2, Question \\#8) ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$8$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6690", "queId": "e7573dabadc9499faa98b0e0afbbdb5b", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Calculate the sum below. $$19 + 6 + 12 + 13 + 21 + 4 + 8 + 17$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$99$$ "}], [{"aoVal": "B", "content": "$$100$$ "}], [{"aoVal": "C", "content": "$$101$$ "}], [{"aoVal": "D", "content": "$$102$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6695", "queId": "e2cec0b3b4734f9492746900d8e71d4f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the next number in the sequence below? $$7, 8, 6, 9, 5, 10, \\cdots$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$14$$ "}], [{"aoVal": "D", "content": "$$15$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6702", "queId": "fe5621fac7bf4b09aa8129f208c9feab", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following fractions is equivalent to $$\\frac{2}{3}$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{4}{5}$$ "}], [{"aoVal": "B", "content": "$$\\frac{5}{9}$$ "}], [{"aoVal": "C", "content": "$$\\frac{8}{9}$$ "}], [{"aoVal": "D", "content": "$$\\frac{8}{12}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6705", "queId": "f52440acbedc4f0a8d9493805dd96da9", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Peter has $9$ dollars and $20$ cents. One can of soft drink costs $1.20$ dollarss, and one chocolate bar is $60$ cents cheaper than one can of soft drink. After buying $3$ cans of soft drink and two chocolate bars, how much does he have left? ", "answer_option_list": [[{"aoVal": "A", "content": "$4.8.$ dollars "}], [{"aoVal": "B", "content": "$4.2.$ dollars "}], [{"aoVal": "C", "content": "$3.6.$ dollars "}], [{"aoVal": "D", "content": "$5.4.$ dollars "}], [{"aoVal": "E", "content": "$6.4.$ dollars "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6707", "queId": "f096494177d148b4a4e32318eac2d51d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$0.4$ is the same as ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{2}{5}$ "}], [{"aoVal": "B", "content": "$\\dfrac{1}{2}$ "}], [{"aoVal": "C", "content": "$\\dfrac{1}{4}$ "}], [{"aoVal": "D", "content": "$\\dfrac{4}{5}$ "}], [{"aoVal": "E", "content": "$\\dfrac{1}{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Decimals into Fractions"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6714", "queId": "f0a3722dc3c84147b2774c64484b3c11", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Calculate.　 $$61\\times 13+12\\times 11=$$． ", "answer_option_list": [[{"aoVal": "A", "content": "$$920$$ "}], [{"aoVal": "B", "content": "$$925$$ "}], [{"aoVal": "C", "content": "$$900$$ "}], [{"aoVal": "D", "content": "$$910$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6715", "queId": "f53c7989c84d4ef1a2c9ffac3fb42be3", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which of the following is not an algebraic expression? ", "answer_option_list": [[{"aoVal": "A", "content": "$4x-56$ "}], [{"aoVal": "B", "content": "$4y+1=3$ "}], [{"aoVal": "C", "content": "$3$ "}], [{"aoVal": "D", "content": "$5-2$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6717", "queId": "e78627ffe03e46d3a5496adbc6d6ae6e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Cathy went to Miami the day before yesterday. It is Monday tomorrow. What day was the day when Cathy left for Miami? ", "answer_option_list": [[{"aoVal": "A", "content": "Wednesday "}], [{"aoVal": "B", "content": "Friday "}], [{"aoVal": "C", "content": "Saturday "}], [{"aoVal": "D", "content": "Sunday "}], [{"aoVal": "E", "content": "Monday "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6727", "queId": "ec28ca503a354bf8b9258d3e32892958", "competition_source_list": ["其它"], "difficulty": "4", "qtype": "single_choice", "problem": "A researcher is conducting a study of charitable donations by surveying a simple random sample of householdsin a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the followingare appropriate hypotheses for the researcher? ", "answer_option_list": [[{"aoVal": "A", "content": "H\\textsubscript{0} : p = 0.5 and H\\textsubscript{a}~: p \\textgreater{} 0.5 "}], [{"aoVal": "B", "content": "H\\textsubscript{0} : p = 0.5 and H\\textsubscript{a}~: p * 0.5 "}], [{"aoVal": "C", "content": "H\\textsubscript{0} : p = 0.5 and H\\textsubscript{a} : p \\textless{} 0.5 "}], [{"aoVal": "D", "content": "H\\textsubscript{0}~: p \\textgreater{} 0.5 and H\\textsubscript{a} : p $\\ne$0.5 "}], [{"aoVal": "E", "content": "H\\textsubscript{0} : p \\textgreater{} 0.5 and H\\textsubscript{a} : p = 0.5 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6729", "queId": "fe8663e1c1eb4af1b4d211b3e9ff0bd1", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "$40\\times\\square=12000$ What number needs to go in the box to make the statement correct? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0.3$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$30$$ "}], [{"aoVal": "D", "content": "$$300$$ "}], [{"aoVal": "E", "content": "$$3000$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6738", "queId": "fa061493be1342d19372a7899588f961", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Which number doesn\\textquotesingle t round to 20? ", "answer_option_list": [[{"aoVal": "A", "content": "$$16$$ "}], [{"aoVal": "B", "content": "$$27$$ "}], [{"aoVal": "C", "content": "$$21$$ "}], [{"aoVal": "D", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Rounding Numbers"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6742", "queId": "fa0e260d86d845389553d00df7b0f94a", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "$$\\frac{2}{9} + \\frac{2}{9} = $$~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$\\frac{2}{18}$$ "}], [{"aoVal": "B", "content": "$$\\frac{4}{18}$$ "}], [{"aoVal": "C", "content": "$$\\frac{4}{9}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules->Fractions"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6743", "queId": "fead816c9daa4abf971e42575bd71a3e", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "What fraction is exactly halfway between $\\frac14$ and $\\frac15$? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\frac{9}{20}$ "}], [{"aoVal": "B", "content": "$\\frac{9}{40}$ "}], [{"aoVal": "C", "content": "$\\frac{3}{20}$ "}], [{"aoVal": "D", "content": "$\\frac{2}{9}$ "}], [{"aoVal": "E", "content": "$\\frac{4.5}{40}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Calculation Modules"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6752", "queId": "04e1def7320b4896bb4f0fb54758d0fe", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the value of B? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6754", "queId": "173649a3f45c4fa98a3d058a2ddc3ade", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "7.Daniel and Patrick had an equal number of stickers at first. Daniel then gave away 20 of his stickers to his friend Melvin, and Patrick bought another 12 stickers. In the end, Patrick had thrice as many stickers as Daniel. Find the number of stickers Daniel had at first? ", "answer_option_list": [[{"aoVal": "A", "content": "$$35$$ "}], [{"aoVal": "B", "content": "$$36$$ "}], [{"aoVal": "C", "content": "$$37$$ "}], [{"aoVal": "D", "content": "$$38$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6755", "queId": "04f68645e8b7443d954e7027615efa13", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Lily left home at 4:15pm to go to the cinema and arrived at the cinema at 4:35pm. An hour and a half later, she finished watching the movie and went home. She spent the same time on her way home as she went to the cinema. When did Lily get home? ", "answer_option_list": [[{"aoVal": "A", "content": "5:25pm "}], [{"aoVal": "B", "content": "5:55pm "}], [{"aoVal": "C", "content": "6:05pm "}], [{"aoVal": "D", "content": "6:15pm "}], [{"aoVal": "E", "content": "6:25pm "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6759", "queId": "0122a8143af04a299e1b986eb999e9e1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "We place the signs $$+$$, $$-$$ and $$=$$ between the digits: $$4$$ $$8$$ $$3$$ $$3$$ $$6$$ $$9$$ in such a way that an equality is made. The sequence of the signs is: ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$, $$-$$, $$=$$, $$+$$, $$-$$ "}], [{"aoVal": "B", "content": "$$=$$, $$-$$, $$-$$, $$-$$, $$+$$ "}], [{"aoVal": "C", "content": "$$+$$, $$+$$, $$=$$, $$+$$, $$+$$ "}], [{"aoVal": "D", "content": "$$+$$, $$=$$, $$-$$, $$-$$, $$+$$ "}], [{"aoVal": "E", "content": "$$+$$, $$=$$, $\\times$, $$-$$, $$+$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Adjacent Numbers can be formed into Multi-Digit"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6760", "queId": "012a7bb60014450e89ab496406f76573", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In the equation below each letter represents a digit. What digit is represented by the letter $$M$$? $$4\\times KLMNP4=4KLMNP$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "$$1$$ "}], [{"aoVal": "C", "content": "$$2$$ "}], [{"aoVal": "D", "content": "$$3$$ "}], [{"aoVal": "E", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6761", "queId": "013437927a964288b8dcdb668a0d35cf", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "From $1$ to $40$, how many integers can be chosen at most to ensure that no two of chosen numbers sum to $35$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$22$$ "}], [{"aoVal": "C", "content": "$$23$$ "}], [{"aoVal": "D", "content": "$$24$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6769", "queId": "09b06c64c8194776a5863fa0e22e0c7b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How is the number pattern changing? 5,3,6,6,11,12,17,21,~\\uline{~~~~~~~~~~}~,~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "bigger "}], [{"aoVal": "B", "content": "smaller "}], [{"aoVal": "C", "content": "bigger and smaller "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6775", "queId": "2e91edd701984224b9696b48bfc2f7fe", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Convert~$\\dfrac{50}{4}$ to a mixed number in its simplest form. ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{25}{2}$ "}], [{"aoVal": "B", "content": "$10\\dfrac{1}{4}$ "}], [{"aoVal": "C", "content": "$12\\dfrac{1}{2}$ "}], [{"aoVal": "D", "content": "$12\\dfrac{2}{4}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6776", "queId": "0e341057718741a8aa393985e77a55e7", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Suppose $a$, $b$, and $c$ are non-zero real numbers, and $a+b+c=0$. What are the possible value(s) for~$\\dfrac{a}{\\left\\textbar{} a\\right\\textbar}+\\dfrac{b}{\\left\\textbar{} b\\right\\textbar}+\\dfrac{c}{\\left\\textbar{} c\\right\\textbar}+\\dfrac{abc}{\\left\\textbar{} abc\\right\\textbar}$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$0$$ "}], [{"aoVal": "B", "content": "1 and -1 "}], [{"aoVal": "C", "content": "2 and -2 "}], [{"aoVal": "D", "content": "0, 2 and -2 "}], [{"aoVal": "E", "content": "0, 1 and -1 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts->Absolute Value"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6777", "queId": "01f5a673d5024e94b47745b8cba2c7a4", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Yohan had 10 white socks, 10 red socks and 10 black socks in his drawer. How many socks at most, must Yohan take from his drawer without looking, till he gets a pair of white socks? ", "answer_option_list": [[{"aoVal": "A", "content": "$$11$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$21$$ "}], [{"aoVal": "D", "content": "$$22$$ "}], [{"aoVal": "E", "content": "$$23$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6781", "queId": "0271daebc2cb4f78b5a7f7048d6d2f9f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Pip and Bud are arranging three symbols in a certain pattern. What is the 20th symbol in the sequence? △○★△○★△○★\\ldots\\ldots{} ", "answer_option_list": [[{"aoVal": "A", "content": "△ "}], [{"aoVal": "B", "content": "○ "}], [{"aoVal": "C", "content": "★ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition->Single Cycle Race"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6786", "queId": "02d5ac6423204f55925ada2bb26f0faa", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Sara, Mary, Linda and Karina are comparing their heights. (1) Linda says: \"I\\textquotesingle m taller than Karina.\" (2) Sara says: \"I\\textquotesingle m taller than Linda.\" (3) Linda is shorter than Mary. Who is the shortest? ", "answer_option_list": [[{"aoVal": "A", "content": "Sara "}], [{"aoVal": "B", "content": "Mary "}], [{"aoVal": "C", "content": "Linda "}], [{"aoVal": "D", "content": "Karina "}], [{"aoVal": "E", "content": "This cannot be determined "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6787", "queId": "09f9f5cd4005462583dc5128275a7523", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the smallest possible number of children in a family where each child has at least one brother and at least one sister? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$3$$ "}], [{"aoVal": "C", "content": "$$4$$ "}], [{"aoVal": "D", "content": "$$5$$ "}], [{"aoVal": "E", "content": "$$6$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6791", "queId": "37ea5f87318243638c4567b096cb6be2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are three songs on a certain CD. The first song is $$6$$ minutes and $$25$$ seconds long, the second song is $$12$$ minutes and $$25$$ seconds long, and the third song is $$10$$ minutes and $$13$$ seconds long. How long does it take to play the whole CD? ", "answer_option_list": [[{"aoVal": "A", "content": "$$28$$ minutes $$30$$ seconds "}], [{"aoVal": "B", "content": "$$29$$ minutes $$3$$ seconds "}], [{"aoVal": "C", "content": "$$38$$ minutes $$10$$ seconds "}], [{"aoVal": "D", "content": "$$31$$ minutes $$13$$ seconds "}], [{"aoVal": "E", "content": "$$31$$ minutes $$23$$ seconds "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A． "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6792", "queId": "0a0bb197d44a4c279f0f8458c7d9dac3", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Andrea needs an hour to get to the shopping center. If she leaves at $$4$$ PM, she gets there half an hour after the store closes. If she leaves at $$8$$ AM, she gets there half an hour before the store opens. What hours is the shopping center open? ($$2007$$ Math Kangaroo Problem, Level $$1-2$$, Question \\#$$24$$) ", "answer_option_list": [[{"aoVal": "A", "content": "$$7^{30}$$ to $$4^{30}$$ "}], [{"aoVal": "B", "content": "$$8^{30}$$ to $$5^{30}$$ "}], [{"aoVal": "C", "content": "$$7^{30}$$ to $$5^{30}$$ "}], [{"aoVal": "D", "content": "$$8^{30}$$ to $$4^{30}$$ "}], [{"aoVal": "E", "content": "$$9^{30}$$ to $$4^{30}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A.　 "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6794", "queId": "7444e53b1b0841b9a155fe4320e2b84d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Given five different points on a line, labeled in order as $$A\\_{1}$$, $$A\\_{2}$$, $$A\\_{3}$$, $$A\\_{4}$$, $$A\\_{5}$$. Point $$P$$ is placed on the line in such a way that the sum of the lengths $$\\left\\textbar{} P{{A}\\_{1}} \\right\\textbar+\\left\\textbar{} P{{A}\\_{2}} \\right\\textbar+\\left\\textbar{} P{{A}\\_{3}} \\right\\textbar+\\left\\textbar{} P{{A}\\_{4}} \\right\\textbar+\\left\\textbar{} P{{A}\\_{5}} \\right\\textbar$$ is minimal. Then：． ", "answer_option_list": [[{"aoVal": "A", "content": "$$P=A\\_{1}$$ "}], [{"aoVal": "B", "content": "$$P=A\\_{2}$$ "}], [{"aoVal": "C", "content": "$$P=A\\_{3}$$ "}], [{"aoVal": "D", "content": "$$P$$ may be any point between $$A\\_2$$ and $$A\\_{4}$$ "}], [{"aoVal": "E", "content": "$$P$$ may be any point between $$A\\_1$$ and $$A\\_5$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Planning->Planning on Location->Equally Important for Every Points"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6795", "queId": "1c21479d4eb940599dfa5aaa559c5645", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Jola has four candles. Each of her candles burns itself our within three hours. Jola lit two candles and placed them next to an open window. $$30$$ minutes later the wind blew out one candle, and another hour later the wind blew out another candle. Then Jola closed the window and lit all four candles. How long after this moment will the last candle burn out? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1\\text{ hr }30\\text{ min}$$ "}], [{"aoVal": "B", "content": "$$2\\text{ hr}$$ "}], [{"aoVal": "C", "content": "$$3\\text{ hr}$$ "}], [{"aoVal": "D", "content": "$$7\\text{ hr }30\\text{ min}$$ "}], [{"aoVal": "E", "content": "$$8\\text{ hr}$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6798", "queId": "068fb815c7084dd8bb2fd30d6ec2bb29", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "A certain box contains $$15$$ balls that are coloured red and blue (both colours on each ball), $$12$$ balls that are coloured blue and green, and $$9$$ balls that are coloured green and red. What is the smallest number of balls that must be selected to guarantee that you have at least seven balls that share a colour? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7$$ "}], [{"aoVal": "B", "content": "$$8$$ "}], [{"aoVal": "C", "content": "$$9$$ "}], [{"aoVal": "D", "content": "$$10$$ "}], [{"aoVal": "E", "content": "$$11$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"], "answer_analysis": ["N/A.(US $$2006$$ Math kangaroo Problems, Level $$9-10$$, Question \\#$$19$$) "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6799", "queId": "1c2749cfb23040718f72104a2cd016ab", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many small squares we need at least in the big square? ", "answer_option_list": [[{"aoVal": "A", "content": "$3\\times3$ "}], [{"aoVal": "B", "content": "$6\\times6$ "}], [{"aoVal": "C", "content": "$9\\times9$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6800", "queId": "0e8a0a8437234d15a8b21651c6dd5175", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "15. Jensen and Benny had $328$ cookies. If Jensen gave Benny $36$ cookies, Jensen would have thrice as many cookies as Benny. How many cookies did Jensen have?~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$382$$ "}], [{"aoVal": "B", "content": "$$292$$ "}], [{"aoVal": "C", "content": "$$272$$ "}], [{"aoVal": "D", "content": "$$282$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6802", "queId": "04527266bb2b4c0d97c68db0b67fd10e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Fill the operation signs \"$$+$$\" or~\"$$-$$\" in the squares below to make the equation true. $$4\\square 3\\square 2\\square1=8$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$, $$-$$, $$+$$ "}], [{"aoVal": "B", "content": "$$-$$, $$+$$, $$-$$ "}], [{"aoVal": "C", "content": "$$+$$, $$+$$, $$-$$ "}], [{"aoVal": "D", "content": "$$+$$, $$+$$, $$+$$ "}], [{"aoVal": "E", "content": "$$-$$, $$-$$, $$-$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6804", "queId": "0461d608c45e47f4957abbd4624fad4e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "9. Raymond and Victor had the same amount of money at first. After Raymond spent $$$12$$, Victor had 4 times as much money as Raymond in the end. How much money did each of them have at first? ", "answer_option_list": [[{"aoVal": "A", "content": "$$14$$ "}], [{"aoVal": "B", "content": "$$15$$ "}], [{"aoVal": "C", "content": "$$16$$ "}], [{"aoVal": "D", "content": "$$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6808", "queId": "06e072e9b03d47e3baffbd2bf836fdbd", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Junlong spent $$150min$$ reading a storybook. Express the time spent in hours and minutes. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2 \\space h \\space50 \\space min$$ "}], [{"aoVal": "B", "content": "$$2 \\space h \\space30 \\space min$$ "}], [{"aoVal": "C", "content": "$$1 \\space h \\space50 \\space min$$ "}], [{"aoVal": "D", "content": "$$1 \\space h \\space30 \\space min$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6812", "queId": "06f6eeeaf44d47d0a33844534e7d78cc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Green went out to travel on May $27$, $2022$. There are $31$ days in May. It took him $6$ days to reach the destination. When did he reach the destination? ", "answer_option_list": [[{"aoVal": "A", "content": "on May $31$ "}], [{"aoVal": "B", "content": "on June $1$ "}], [{"aoVal": "C", "content": "on June $2$ "}], [{"aoVal": "D", "content": "on June $3$ "}], [{"aoVal": "E", "content": "on June $5$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6813", "queId": "131f52eedae84b5f86a243e3a7e17d2b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which set of signs $$+$$ and $$-$$ needs to be placed in the boxes to make the expression true? $$4\\square 3\\square 2\\square 1=8$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$, $$-$$, $$+$$ "}], [{"aoVal": "B", "content": "$$-$$, $$+$$, $$-$$ "}], [{"aoVal": "C", "content": "$$+$$, $$+$$, $$-$$ "}], [{"aoVal": "D", "content": "$$+$$, $$+$$, $$+$$ "}], [{"aoVal": "E", "content": "$$-$$, $$+$$, $$+$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6814", "queId": "0728d0e4cb1f440f99890c2cbd1765a8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "An object is moving to the west at a constant speed. Three forces are exerted on the object. One force is 5 N directed due north, and another is 5 N directed due west. What is the magnitude and direction of the third force if the object is to continue moving to the west at a constant speed? ", "answer_option_list": [[{"aoVal": "A", "content": "$5\\sqrt{3}$~N, directed northwest "}], [{"aoVal": "B", "content": "$5\\sqrt{3}$~N, directed southeast "}], [{"aoVal": "C", "content": "$5\\sqrt{2}$~N, directed northwest "}], [{"aoVal": "D", "content": "$5\\sqrt{2}$~N, directed southeast "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Directions and Coordinates"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6815", "queId": "93fa7507ac554e429ae437beafe694e0", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "If four identical equilateral triangles are put together to form a new shape, which of these can be the shape they form? ", "answer_option_list": [[{"aoVal": "A", "content": "$$$$rectangle "}], [{"aoVal": "B", "content": "$$$$trapezium "}], [{"aoVal": "C", "content": "$$$$square "}], [{"aoVal": "D", "content": "$$$$parallelogram "}], [{"aoVal": "E", "content": "$$$$pentagon "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Operational Problem->Jigsaw"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6816", "queId": "17aa617168024824b613b20b912e7cab", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Johnson arrives at the office at $$10:30am$$ everyday. If it takes him $$55$$ minutes to go to the office, at what time does he set off from home office? ", "answer_option_list": [[{"aoVal": "A", "content": "$$11:25am$$ "}], [{"aoVal": "B", "content": "$$10:35am$$ "}], [{"aoVal": "C", "content": "$$9:25am$$ "}], [{"aoVal": "D", "content": "$$9:35am$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6818", "queId": "0732e6ff53ef4b9ea57726eab3ef5761", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Mia is going to watch a movie tomorrow. The movie will start at $$10:45$$ am, and end at $11:55$ am. How long will the movie last? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1h10min$$ "}], [{"aoVal": "B", "content": "$$2h10min$$ "}], [{"aoVal": "C", "content": "$$1h20min$$ "}], [{"aoVal": "D", "content": "$$2h20min$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6824", "queId": "0ec1769dacbd4469a0896f458d79eea2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A boy named Peter has as many brothers as sisters. His sister Ann has twice as many brothers as sisters. How many children are there in the family? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6825", "queId": "17b08631ecfa48c8bed6b8249d9e00f8", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "How should the time half past six in the evening be written? ", "answer_option_list": [[{"aoVal": "A", "content": "$$16:30$$ "}], [{"aoVal": "B", "content": "$$20:30$$ "}], [{"aoVal": "C", "content": "$$17:30$$ "}], [{"aoVal": "D", "content": "$$06:30$$ "}], [{"aoVal": "E", "content": "$$18:30$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6829", "queId": "744f8178ba404d5587c9f00df31ea4a2", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "What is the biggest number of matchsticks to form 6 triangels? ", "answer_option_list": [[{"aoVal": "A", "content": "$$16$$ "}], [{"aoVal": "B", "content": "$$18$$ "}], [{"aoVal": "C", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Matchstick Problems"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6830", "queId": "078b00c7417a4b1cbe1add7ea0a4f8a2", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In a riding competition, the horses started at three-minute intervals. The first horse started at $$10:45$$. The $$18\\text{th}$$ horse took $$13$$ minutes to complete the course. At what time did the $$18\\text{th}$$ horse finish? ", "answer_option_list": [[{"aoVal": "A", "content": "$$11:12$$ "}], [{"aoVal": "B", "content": "$$11:49$$ "}], [{"aoVal": "C", "content": "$$11:36$$ "}], [{"aoVal": "D", "content": "$$11:52$$ "}], [{"aoVal": "E", "content": "$$11:09$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6837", "queId": "41515eaf974444e68e5ae56b450d83e5", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "The square roots of \\sqrt{16} are~\\uline{~~~~~~~~~~}~. ", "answer_option_list": [[{"aoVal": "A", "content": "$$4$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "4 or -4 "}], [{"aoVal": "D", "content": "2 or -2 "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Magic Square"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6843", "queId": "4a9b6870bdee4b4aa4ab8ab4a975ad0a", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which equation or inequality describes real numbers whose distance from $-5$ is less than or equal to $13$ units? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\textbar x-5\\textbar{} \\leq 13$ "}], [{"aoVal": "B", "content": "$\\textbar x+5\\textbar{} \\leq 13$ "}], [{"aoVal": "C", "content": "$\\textbar x-13\\textbar{} \\leq 5$ "}], [{"aoVal": "D", "content": "$\\textbar x+13\\textbar{} \\leq 5$ "}], [{"aoVal": "E", "content": "None "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts->Absolute Value"], "answer_analysis": ["N/A "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6846", "queId": "085ccb4551dd4f82b5d659d34f9d7b5b", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The $+$, $−$, $\\times$, $\\div$ signs have been left out of the following sum: $6\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 3\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 10\\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} \\textbackslash{} 2=23$ Which of the following expressions has the correct signs? ", "answer_option_list": [[{"aoVal": "A", "content": "$6+3 \\times 10 − 2$ "}], [{"aoVal": "B", "content": "$6 \\div 3 + 10 \\times 2$ "}], [{"aoVal": "C", "content": "$6 \\times 3 + 10 \\div 2$ "}], [{"aoVal": "D", "content": "$6 − 3 + 10 \\div 2$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6849", "queId": "13903b6dac984cf9b8bc4e8ae522bac8", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Ben thought of a way to replace numbers with graphs, $$\\triangle = 1$$, $$\\bigcirc = 3$$, $$\\square = 5$$. For example, $$\\bigcirc\\triangle\\square =315$$. What is the code of \"$$\\triangle\\square\\square\\triangle\\bigcirc$$\"? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15113$$ "}], [{"aoVal": "B", "content": "$$31135$$ "}], [{"aoVal": "C", "content": "$$51153$$ "}], [{"aoVal": "D", "content": "$$15513$$ "}], [{"aoVal": "E", "content": "$$13315$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6850", "queId": "0f47e28c0e154bf78ea0f73c0d9e159e", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Jonathan has $$4$$ regular dice. Each dice has numbers from $$1$$ to $$6$$. Which of the following could not be the sum of the numbers on top of the $$4$$ dice? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$11$$ "}], [{"aoVal": "C", "content": "$$19$$ "}], [{"aoVal": "D", "content": "$$26$$ "}], [{"aoVal": "E", "content": "All the above numbers are possible sum "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": ["$$N.A$$ "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6861", "queId": "13baaccd585845748c7049dfda6d42a8", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Bud has six number cards: $\\boxed{1}, \\boxed{2}, \\boxed{3}, \\boxed{7}, \\boxed{8}, \\boxed{9}$. How many cards can she choose at most to ensure that no two of chosen cards sum to $10$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$4$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6862", "queId": "416c49b81b3640c18d22f1f122bd731f", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "9. $3$ chocolate cookies, $2$ almond cookies and a strawberry cookie cost $$$41$$. A chocolate cookie cost $$$2.20 $$ more than a strawberry cookie. A strawberry cookie cost $$$1.10$$ more than an almond cookie. How much did a strawberry cookie cost?~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$4.1$$ "}], [{"aoVal": "B", "content": "$$5.1$$ "}], [{"aoVal": "C", "content": "$$6.1$$ "}], [{"aoVal": "D", "content": "$$7.1$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6864", "queId": "090aa21cffd2426f8d2ecb755f54bd72", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Nancy, Katie, John, and Reed were reading the same book. They each finished reading $\\frac{5}{7}, \\frac{5}{9}, \\frac{5}{6}$ and $\\frac{5}{8}$ of the book, respectively. Who finished reading more pages? ", "answer_option_list": [[{"aoVal": "A", "content": "Nancy "}], [{"aoVal": "B", "content": "Katie "}], [{"aoVal": "C", "content": "John "}], [{"aoVal": "D", "content": "Reed "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Operational Problem"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6869", "queId": "092bbea0d5e8481e8b0005aafe3d6509", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Using $$7$$, $$6$$, $$5$$, $$4$$ in order and addition and subtraction signs we can make $$10$$, as shown below. $$7-6+5+4=10$$ Fill in the gaps below with either addition or subtraction signs to make $$12$$. $$7$$~ ~ ~ $$6$$~ ~ ~ $$5$$~ ~ ~ $$4$$~ ~ ~ $$=12$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$，$$-$$，$$+$$ "}], [{"aoVal": "B", "content": "$$+$$，$$+$$，$$+$$ "}], [{"aoVal": "C", "content": "$$-$$，$$-$$，$$-$$ "}], [{"aoVal": "D", "content": "$$-$$，$$+$$，$$-$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6870", "queId": "0936d153f80f44c2a6b6a986c943f892", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many circle cookies are there? ", "answer_option_list": [[{"aoVal": "A", "content": "$$5$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6877", "queId": "0c347b21f5354b1fb2c764770fc39df6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "In the calculation, $$1\\textasciitilde\\textasciitilde2\\textasciitilde\\textasciitilde3\\textasciitilde\\textasciitilde4\\textasciitilde\\textasciitilde5\\textasciitilde\\textasciitilde6\\textasciitilde\\textasciitilde7=0$$, you can fill in one of the four operations $$+$$, $$-$$,~$\\times$,~$\\div$~and brackets in each of the gaps. Which of the following choices is the correct filling? ", "answer_option_list": [[{"aoVal": "A", "content": "$1+2-3+4-5+6-7=0$ "}], [{"aoVal": "B", "content": "$1\\times2+\\left( 3-4\\right)\\times5+6-7=0$ "}], [{"aoVal": "C", "content": "$\\left( 1+2-3\\right)\\times4\\times5\\times6\\times7=0$ "}], [{"aoVal": "D", "content": "$1\\times2\\times3\\times4-5-6-7=0$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6878", "queId": "0c36e16bd8d749088deb54562bd56347", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Matt, Will and Tiger are predicting the outcome of a tournament, which only has $$4$$ teams. \\textbf{Matt: \"Team $$A$$ will be the $$1$$\\textsuperscript{st}, and Team $$B$$ will be the $$4$$\\textsuperscript{th}.\"~} \\textbf{Will: \"Team $$B$$ will be the $$2$$\\textsuperscript{nd}, and Team $$C$$ will be the $$3$$\\textsuperscript{rd}.\"} \\textbf{Tiger: \"Team $$A$$ will be the $$2$$\\textsuperscript{nd}, and Team $$D$$ will be the $$4$$\\textsuperscript{th}.\"} After the tournament, it turns out they are all half-right and half-wrong. What is the ranking of Team $$D$$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$\\textsuperscript{st} "}], [{"aoVal": "B", "content": "$$2$$\\textsuperscript{nd} "}], [{"aoVal": "C", "content": "$$3$$\\textsuperscript{rd} "}], [{"aoVal": "D", "content": "$$4$$\\textsuperscript{th} "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6881", "queId": "25ed736feb1c448e83e3267abc4e536a", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "2019 AMC 8/ Problem 18 The faces of each of two fair dice are numbered 1, 2, 3, 5, 7 and 8. When the two dice are tossed, what is the probability that their sum will be an even number? ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{4}{9}$ "}], [{"aoVal": "B", "content": "$\\dfrac{1}{2}$ "}], [{"aoVal": "C", "content": "$\\dfrac{5}{9}$ "}], [{"aoVal": "D", "content": "$\\dfrac{3}{5}$ "}], [{"aoVal": "E", "content": "$\\dfrac{2}{3}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6889", "queId": "0c7dd63b317b46c6ab7df3e28d7c85df", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "As Hans wrote a problem on the board, he forgot one digit. What he wrote was: $$23+31+2+12=94$$. What digit did he forget to write? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$1$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6890", "queId": "216f556ead8f499381a6ff7d665e7f43", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Which of the following points is in Quadrant $III$? ", "answer_option_list": [[{"aoVal": "A", "content": "$(5,-5)$ "}], [{"aoVal": "B", "content": "$(-5,5)$ "}], [{"aoVal": "C", "content": "$(5,5)$ "}], [{"aoVal": "D", "content": "$(-5,-5)$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Directions and Coordinates->Coordinates"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6892", "queId": "8f6e6a082f9c4866a4bb0fca2889d8e0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "It is $$9:00pm:$$ now, what was the time $$33$$ minutes before? ", "answer_option_list": [[{"aoVal": "A", "content": "$$9:33pm$$ "}], [{"aoVal": "B", "content": "$$8:33pm$$ "}], [{"aoVal": "C", "content": "$$8:34am$$ "}], [{"aoVal": "D", "content": "$$8:27pm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6896", "queId": "c727217a41bd45e5be734e3860368981", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "One evening, Sarah started her homework at half past four. She finished it at twenty minutes to six. How long did her homework take? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ hour $$10$$ minutes "}], [{"aoVal": "B", "content": "$$1$$ hour $$50$$ minutes "}], [{"aoVal": "C", "content": "$$50$$ minutes "}], [{"aoVal": "D", "content": "$$1$$ hour $$30$$ minutes "}], [{"aoVal": "E", "content": "$$1$$ hour $$20$$ minutes "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6901", "queId": "0cd002f286e943b4b24b7ef87981dbc0", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Express~$\\dfrac{4}{6}$ in its simplest form. ", "answer_option_list": [[{"aoVal": "A", "content": "$\\dfrac{1}{6}$ "}], [{"aoVal": "B", "content": "$\\dfrac{2}{3}$ "}], [{"aoVal": "C", "content": "$\\dfrac{4}{12}$ "}], [{"aoVal": "D", "content": "$\\dfrac{8}{12}$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6905", "queId": "18a50fbbabd7411eb7736a435d8c470e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$454\\text{g}$$ is the same as $$1\\textasciitilde\\text{lb}$$ in weight. Hannah has bought a $$5\\textasciitilde\\text{lb}$$ turkey which needs cooking. The instructions state that it needs to be cooked for $$55\\min $$ per $$\\text{kg}\\textasciitilde+$$ a further $$25\\min $$. Approximately how long does the turkey need to cook for? Choose the answer. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2 \\frac{1}{2}$$ hours "}], [{"aoVal": "B", "content": "$$1 \\frac{1}{2}$$ hours "}], [{"aoVal": "C", "content": "$$2 \\frac{3}{4}$$ hours "}], [{"aoVal": "D", "content": "$$2$$ hours "}], [{"aoVal": "E", "content": "$$2 \\frac{1}{4}$$ hours "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6906", "queId": "2a9ebd6d60574ad995b1b80bdf5bd327", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "15. Stephen is facing east. After turning~\\uline{~~~~~~~~~~}~$$^{\\circ}$$ in the clockwise direction, he will be facing south-west. ", "answer_option_list": [[{"aoVal": "A", "content": "$$135$$ "}], [{"aoVal": "B", "content": "$$180$$ "}], [{"aoVal": "C", "content": "$$165$$ "}], [{"aoVal": "D", "content": "$$270$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6915", "queId": "1d2de45413234f1b9906f57d5ddcaa18", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Kanga is 1 year and 3 months old now. In how many months will Kanga be 2 years old? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$5$$ "}], [{"aoVal": "C", "content": "$$7$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": ["$$N.A.$$ "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6924", "queId": "21b353bbbfa94d498d24f2a8266fdeff", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In the following Cryptarithm, each letter represents $$1$$ one-digit number. Find the three-digit number represented by `$$ABC$$'． $$\\begin{matrix}\\& \\& 8 \\& 8\\& \\boxed C \\textbackslash\\textbackslash{} \\&\\&5\\& \\boxed B \\&4 \\textbackslash\\textbackslash{} + \\&\\&\\boxed A\\&1 \\&7 \\textbackslash\\textbackslash{} \\hline \\&2~\\&0 \\&2 \\&1\\textbackslash\\textbackslash{} \\end{matrix}$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$625$$ "}], [{"aoVal": "B", "content": "$$620$$ "}], [{"aoVal": "C", "content": "$$602$$ "}], [{"aoVal": "D", "content": "$$260$$ "}], [{"aoVal": "E", "content": "$$206$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6932", "queId": "18fa3bb4664e473e88a6a0ea74161444", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Alice snd Bob picked the marbles from a bag without looking. The bag contains $2$ blue marbles and $1$ red marble. Each picked $1$ marble only. After each saw the colour of their own marble, Alice said: \"I know the colour of your marble!\" If Alice is telling the truth and she is correct, what is the colour of the marble each one got? ", "answer_option_list": [[{"aoVal": "A", "content": "Alice - Blue, Bob - Blue "}], [{"aoVal": "B", "content": "Alice - Red, Bob - Blue "}], [{"aoVal": "C", "content": "Alice - Blue, Bob - Red "}], [{"aoVal": "D", "content": "Alice - Red, Bob - Red "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6939", "queId": "41bdda512810488e899bf5e114f0c326", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Pip is practicing for a marathon. He starts running at $$9:00$$ am and he stops at $$12:00$$ noon for lunch. After Pip has enough rest, he continues the run at $$2:00$$ pm and finishs the run at $$5:00$$ pm. How long has Pip run in total? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ hours "}], [{"aoVal": "B", "content": "$$5$$ hours "}], [{"aoVal": "C", "content": "$$6$$ hours "}], [{"aoVal": "D", "content": "$$8$$ hours "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6948", "queId": "112b926101b048b5bb4a3fe74a8190bf", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "From $1$ to $40$, How many integers can be chosen at most to ensure that no two of chosen numbers sum to $35$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$20$$ "}], [{"aoVal": "B", "content": "$$22$$ "}], [{"aoVal": "C", "content": "$$23$$ "}], [{"aoVal": "D", "content": "$$24$$ "}], [{"aoVal": "E", "content": "$$25$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6950", "queId": "c736205c57d54d728800061b04026ec3", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$86-3\\square=48$$ What is the missing digit? ", "answer_option_list": [[{"aoVal": "A", "content": "$$2$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$8$$ "}], [{"aoVal": "E", "content": "$$9$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6964", "queId": "2227c9c548114ebfbb1511d381c34e72", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Eddie, Joe and Ken measured the height of a building using different methods. They got $\\frac{81}{4}$ meters, $20.142857$ meters, and $20\\frac{1}{10}$ meters, respectively. Order their results from least to greatest (using their names). ", "answer_option_list": [[{"aoVal": "A", "content": "Eddie, Joe, Ken "}], [{"aoVal": "B", "content": "Joe, Ken, Eddie "}], [{"aoVal": "C", "content": "Ken, Joe, Eddie "}], [{"aoVal": "D", "content": "Eddie, Ken, Joe "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts->Absolute Value"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6966", "queId": "b009efe30d3e458f8bacee2561f07824", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are $5$ gift boxes of different sizes. The red box is bigger than the white box. The yellow box is bigger than the white box. The black box is smaller than the red box. The blue box is bigger than the yellow box but smaller than the black one. Which box is the biggest? ", "answer_option_list": [[{"aoVal": "A", "content": "The red one. "}], [{"aoVal": "B", "content": "The black one. "}], [{"aoVal": "C", "content": "The yellow one. "}], [{"aoVal": "D", "content": "The white one. "}], [{"aoVal": "E", "content": "The black one. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Comparing"], "answer_analysis": ["N/A "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6977", "queId": "2b372ac46e6f4c649cfe63359063e349", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "12.John had thrice as much money as Melissa. After John gave Melissa $$$140$$, they had an equal amount of money left. How much money did each of them have at first? ", "answer_option_list": [[{"aoVal": "A", "content": "$$140$$ "}], [{"aoVal": "B", "content": "$$150$$ "}], [{"aoVal": "C", "content": "$$160$$ "}], [{"aoVal": "D", "content": "$$170$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6979", "queId": "545a9a1e807a4733a307cc3acef70591", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A student always tells the truth on Mondays and Tuesdays but always tells lies on Saturdays. On the other days of the week he tells the truth or tells lies, at random. For six consecutive days he was asked what his first name was, and he gave the following answers, in order: Jack, Bill, Jack, Bill, Peter, Bill. On what day of the week did he answer Peper? ", "answer_option_list": [[{"aoVal": "A", "content": "Wednesday "}], [{"aoVal": "B", "content": "Thursday "}], [{"aoVal": "C", "content": "Friday "}], [{"aoVal": "D", "content": "Saturday "}], [{"aoVal": "E", "content": "Sunday "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6983", "queId": "38ded2804add435da1e71991c7ad54ff", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "There are some people living on the island of lies. Half of them only tell lies on Wednesday, Friday and Saturday. The other half only tell lies on Tuesday, Thursday and Sunday. One day, all of the people living on the island said that they would tell the truth the next day. What day of the week was that day? ", "answer_option_list": [[{"aoVal": "A", "content": "Tuesday "}], [{"aoVal": "B", "content": "Wednesday "}], [{"aoVal": "C", "content": "Friday "}], [{"aoVal": "D", "content": "Saturday "}], [{"aoVal": "E", "content": "Sunday "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning using Hypothesis->Truth or Lie"], "answer_analysis": ["N/A "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6984", "queId": "fa4d532db2e3473fb98eccedc17477a7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Put the digits $$0$$, $$1$$, $$2$$ and $$3$$ in the squares and the sum of the formula is $$15$$. which number can\\textquotesingle t \"$$0$$\" be combined with? $$\\square \\square +\\square \\square = 15 $$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$2$$ "}], [{"aoVal": "C", "content": "$$3$$ "}], [{"aoVal": "D", "content": "$$1$$ or $$2$$ "}], [{"aoVal": "E", "content": "$$2$$ or $$3$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6987", "queId": "12234c634e4c48e79d27c38bf0f5206a", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "If $1st$ December fall on a Thursday, which day of the week will $7th$ November fall on? ", "answer_option_list": [[{"aoVal": "A", "content": "Sunday "}], [{"aoVal": "B", "content": "Monday "}], [{"aoVal": "C", "content": "Tuesday "}], [{"aoVal": "D", "content": "Wednesday "}], [{"aoVal": "E", "content": "Thursday "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6988", "queId": "1225663f5022472bbfdb373621f06ce8", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "It is $$11:33am$$ now, what will be the time $$2$$ hours $$14$$ minutes later? ", "answer_option_list": [[{"aoVal": "A", "content": "$$11:49am$$ "}], [{"aoVal": "B", "content": "$$1:14pm$$ "}], [{"aoVal": "C", "content": "$$1:33am$$ "}], [{"aoVal": "D", "content": "$$1:47pm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "6999", "queId": "19ea7289ad294c3d9925e4e6fd8cb635", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "2020 AMC 8/ Problem 23 Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed? ", "answer_option_list": [[{"aoVal": "A", "content": "$$120$$ "}], [{"aoVal": "B", "content": "$$150$$ "}], [{"aoVal": "C", "content": "$$180$$ "}], [{"aoVal": "D", "content": "$$210$$ "}], [{"aoVal": "E", "content": "$$240$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7011", "queId": "f106068a12f445db9d233f6171770c75", "competition_source_list": [], "difficulty": "0", "qtype": "single_choice", "problem": "Andrew takes $$15$$ minutes to wash up in the morning, $$20$$ minutes to have his breakfast, $$6$$ minutes to pack his school bag, $$8$$ minutes to walk to his friend\\textquotesingle s house before going to the school together. From his friend\\textquotesingle s house to the school, it will need $$26$$ minutes. The school rules require you to arrive at $$8.00 \\rm{a.m.}$$ every morning, what\\textquotesingle s the latest time he needs to leave his house? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6.45 \\rm{a.m.}$$ "}], [{"aoVal": "B", "content": "$$7.00 \\rm{a.m.}$$ "}], [{"aoVal": "C", "content": "$$7.26 \\rm{a.m.}$$ "}], [{"aoVal": "D", "content": "$$7.34 \\rm{a.m.}$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": ["$$N.A$$ "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7013", "queId": "347a436ab24e4431b8ad9ad6c1ad5332", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "9.What is the size of $$\\angle AOB$$?~\\uline{~~~~~~~~~~}~$$^{\\circ}$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$61$$ "}], [{"aoVal": "B", "content": "$$63$$ "}], [{"aoVal": "C", "content": "$$117$$ "}], [{"aoVal": "D", "content": "$$119$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7014", "queId": "3905fd82194a45e29a5b35bb195b7658", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A train leaves London at $17:13$ and arrives at Bristol at $19:09$, having been delayed by $11$ minutes owing to the wrong type of snow. How long does the journey normally take when there are no delays? ", "answer_option_list": [[{"aoVal": "A", "content": "$2$ hours $7$ minutes "}], [{"aoVal": "B", "content": "$126$ minutes "}], [{"aoVal": "C", "content": "$1$ hour $45$ minutes "}], [{"aoVal": "D", "content": "$115$ minutes "}], [{"aoVal": "E", "content": "$2$ hours $16$ minutes "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7026", "queId": "c74fb16d001647aab742fa7319d17f7c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "How many $3$-digit numbers can be formed using the digits $0,1,2$ if no digit can be repeated? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$6$$ "}], [{"aoVal": "D", "content": "$$9$$ "}], [{"aoVal": "E", "content": "$$18$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)->Counting Different Ways to Fill Number Puzzles "], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7027", "queId": "66f2109167d04dacafda4a71303ed091", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "David wants to prepare a meal with $$5$$ dishes using a stove with only $$2$$ burners. The times needed to cook the $$5$$ dishes are $$40$$ min, $$15$$ min, $$35$$ min, $$10$$ min and $$45$$ min. What is the shortest time in which he can do it? (He may only remove a dish from the stove when it is done cooking.) (2017 Math Kangaroo Problem, Level 3-4, Question \\#15) ", "answer_option_list": [[{"aoVal": "A", "content": "$$60$$ min "}], [{"aoVal": "B", "content": "$$70$$ min "}], [{"aoVal": "C", "content": "$$75$$ min "}], [{"aoVal": "D", "content": "$$80$$ min "}], [{"aoVal": "E", "content": "$$85$$ min "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7029", "queId": "a23e7edfb48b4730abc794b82988c1dd", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Amy started cooking at $$11:10$$ A.M.. After she cooked, she had eating for an hour and 15 minutes, and it was $2:25$ P.M. How long had she cooked? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ h $$15$$ min "}], [{"aoVal": "B", "content": "$$1$$ h $$25$$ min "}], [{"aoVal": "C", "content": "$$1$$ h $$50$$ min "}], [{"aoVal": "D", "content": "$$2$$ h "}], [{"aoVal": "E", "content": "$$2$$ h $$10$$ min "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7033", "queId": "273432a378c4425ab042eea2e4a57a34", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "We place the signs $$+$$, $$-$$ and $$=$$ between the digits: $$4$$ $$8$$ $$3$$ $$3$$ $$6$$ $$9$$ in such a way that an equality is made. The sequence of the signs is: ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$, $$-$$, $$=$$ "}], [{"aoVal": "B", "content": "$$-$$, $$+$$, $$=$$ "}], [{"aoVal": "C", "content": "$$+$$, $$+$$, $$=$$ "}], [{"aoVal": "D", "content": "$$+$$, $$=$$, $$-$$ "}], [{"aoVal": "E", "content": "$$-$$, $$=$$, $$+$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Adjacent Numbers can be formed into Multi-Digit"], "answer_analysis": ["N/A. "], "answer_value": "E"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7039", "queId": "2ba820855dfe496d9f031fe1515925fc", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Tom is having a race with $9$ other people. If he just went past Jerry who was in $5th$ place, which position is Tom in right now? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1st$$ "}], [{"aoVal": "B", "content": "$$3rd$$ "}], [{"aoVal": "C", "content": "$$4th$$ "}], [{"aoVal": "D", "content": "$$5th$$ "}], [{"aoVal": "E", "content": "$$6th$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7046", "queId": "9da5d3abd68641ff84edabbc612424ba", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "~\\uline{~~~~~~~~~~}~$\\div4\\textbackslash{} =\\textbackslash{} 8\\textbackslash{} R1$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$32$$ "}], [{"aoVal": "B", "content": "$$33$$ "}], [{"aoVal": "C", "content": "$$34$$ "}], [{"aoVal": "D", "content": "$$35$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7051", "queId": "426123625aae49df8425b645d2b3e794", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "From $1$ to $40$, how many integers must be chosen at least to ensure that there are two of chosen numbers sum to $35$? ", "answer_option_list": [[{"aoVal": "A", "content": "$$21$$ "}], [{"aoVal": "B", "content": "$$23$$ "}], [{"aoVal": "C", "content": "$$24$$ "}], [{"aoVal": "D", "content": "$$25$$ "}], [{"aoVal": "E", "content": "$$26$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7056", "queId": "2324e9428c6c43358ae90780364acff6", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "It is $$13:48$$ now, what will be the time $$75$$ minutes later? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1:123pm$$ "}], [{"aoVal": "B", "content": "$$1:03pm$$ "}], [{"aoVal": "C", "content": "$$3:25pm$$ "}], [{"aoVal": "D", "content": "$$3:03pm$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7070", "queId": "23568ee115ca4254b80887d51d46cf6e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Tucker must finish his homework at $$16:20$$ If it takes him $$129$$ minutes to finish the homework, at what time should he start to do his homework? ", "answer_option_list": [[{"aoVal": "A", "content": "$$15:29$$ "}], [{"aoVal": "B", "content": "$$14:20$$ "}], [{"aoVal": "C", "content": "$$14:11$$ "}], [{"aoVal": "D", "content": "$$18:49:$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7073", "queId": "3080b1245c9842a2b152d65f895f9f04", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "When it is $$8:00am$$ in London, it is $$5:00pm$$ in Japan. Today is $17^{th}$~November, Vicky lives in London and she wants to call her parents in Japan after she finishs her work at $$10:00pm$$. What is the time and date in Japan when her parents receive the phone call? ", "answer_option_list": [[{"aoVal": "A", "content": "$$7:00pm $$~$17^{th}$~November "}], [{"aoVal": "B", "content": "$$1:00pm$$~$17^{th}$~November "}], [{"aoVal": "C", "content": "$$1:00am$$~$18^{th}$ November "}], [{"aoVal": "D", "content": "$$7:00am$$~$18^{th}$ November "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7085", "queId": "39906bb8e28e43878aa1ab364df79218", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "Aria, Evelyn and Camila sit at a round table. They study in primary $$2$$, $$3$$ and $$4$$. The primary $$4$$ girl is on Camila\\textquotesingle s left. The primary $$3$$ is on Aria\\textquotesingle s right. Who is the primary $$2$$ girl？ ", "answer_option_list": [[{"aoVal": "A", "content": "Aria "}], [{"aoVal": "B", "content": "Evelyn "}], [{"aoVal": "C", "content": "Camila "}], [{"aoVal": "D", "content": "Impossible to determine "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7087", "queId": "629a3620c83c495f92e1b3efd8c43a46", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "The perimeter of a square is 36cm. What is its area? ", "answer_option_list": [[{"aoVal": "A", "content": "$$6$$ "}], [{"aoVal": "B", "content": "$$9$$ "}], [{"aoVal": "C", "content": "$$36$$ "}], [{"aoVal": "D", "content": "$$81$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7093", "queId": "de8e35d0bcf9409883b684c24235f770", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "$$95-2\\square=\\square9$$ Jack\\textquotesingle s calculator displays the sum entered and the answer. The calculator works correctly except that one digit always appears as a blank space. What is the missing digit? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ "}], [{"aoVal": "B", "content": "$$4$$ "}], [{"aoVal": "C", "content": "$$5$$ "}], [{"aoVal": "D", "content": "$$6$$ "}], [{"aoVal": "E", "content": "$$7$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["N/A. revise from (GL Assessment book$$2$$《Paper $$6$$》 $$6$$ years Question \\#$$3$$) "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7094", "queId": "399a02ec97bb4eae9a296df38755d0c5", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "In a card game, there are $$4$$ types of colour cards and $$3$$ functional cards with no colour. If there are $$9$$ red cards, $$16$$ yellow cards, $$8$$ green cards and $$5$$ blue cards, How many cards should I draw to ensure that I get $$5$$ cards in the same colour? ", "answer_option_list": [[{"aoVal": "A", "content": "$$16$$ "}], [{"aoVal": "B", "content": "$$17$$ "}], [{"aoVal": "C", "content": "$$19$$ "}], [{"aoVal": "D", "content": "$$20$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7098", "queId": "1f7ed28496a54ea58802a944afeb604d", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "The time in Thornsburg is $$6$$ hours ahead of London. The time in London is $$8.27$$ pm. What is the time in Thornsburg? Choose the answer. ", "answer_option_list": [[{"aoVal": "A", "content": "$$2.27$$ pm "}], [{"aoVal": "B", "content": "$$14.27$$ "}], [{"aoVal": "C", "content": "$$02.27$$ pm "}], [{"aoVal": "D", "content": "$$02.27$$ "}], [{"aoVal": "E", "content": "$$14.27$$ am "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7102", "queId": "750df2aea2ea462eb4b3c71a8e47ed3a", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "It\\textquotesingle s 11:05 now. Tom is waiting for the bus. The next bus will arrive in 7 minutes. It takes 95 minutes from this station to the terminal. When will Tom arrive at the terminal? ", "answer_option_list": [[{"aoVal": "A", "content": "$12:40$ "}], [{"aoVal": "B", "content": "$12:45$ "}], [{"aoVal": "C", "content": "$12:47$ "}], [{"aoVal": "D", "content": "$$12:12$$ "}], [{"aoVal": "E", "content": "$12:42$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7108", "queId": "1b96b72fc84749959db47de9c99f3d86", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "In the equation $$KAN-GAR=OO$$ each letter represents a certain digit (different letters represent different digits, the same letters represents the digits). Find the largest possible value of the number $$KAN$$ ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$987$$ "}], [{"aoVal": "B", "content": "$$876$$ "}], [{"aoVal": "C", "content": "$$865$$ "}], [{"aoVal": "D", "content": "$$864$$ "}], [{"aoVal": "E", "content": "$$785$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["N/A． "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7110", "queId": "30c3508d97e143b9a0ed9530ac76301e", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "There are $$5$$ children in a family. Dannie is $$3$$ years older than Edmud, but $$4$$ years younger than Bella. Amy is $$3$$ years older than Cindy and Cindy is $$2$$ years older than Dannie. Who of them is the eldest? ", "answer_option_list": [[{"aoVal": "A", "content": "Amy "}], [{"aoVal": "B", "content": "Bella "}], [{"aoVal": "C", "content": "Cindy "}], [{"aoVal": "D", "content": "Dannie "}], [{"aoVal": "E", "content": "Edmud "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7117", "queId": "79b8e7d9914c452e8f90a5bd0c5ac89b", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "On a bookshelf there are 50 mathematics and physics books. No two physics books stand side by side, but every mathematics book has a mathematics book next to it. What is the least possible number ", "answer_option_list": [[{"aoVal": "A", "content": "The number of mathematics books is at least 32. "}], [{"aoVal": "B", "content": "The number of physics books is at most 17. "}], [{"aoVal": "C", "content": "There are 3 mathematics books standing together. "}], [{"aoVal": "D", "content": "If the number of physics books is 17, then one of them is the first or the last on the shelf. "}], [{"aoVal": "E", "content": "Among any 9 consecutive books, at least 6 are mathematics books. "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7120", "queId": "1fb5f5a46f0a405eb14c2088ff2744c1", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Which set of signs $$+$$ and $$-$$ needs to be placed in the boxes to make the expression true? $$4\\square 3\\square 2\\square 1=8$$ ", "answer_option_list": [[{"aoVal": "A", "content": "$$+$$, $$-$$, $$+$$ "}], [{"aoVal": "B", "content": "$$-$$, $$+$$, $$-$$ "}], [{"aoVal": "C", "content": "$$+$$, $$+$$, $$-$$ "}], [{"aoVal": "D", "content": "$$+$$, $$+$$, $$+$$ "}], [{"aoVal": "E", "content": "$$-$$, $$+$$, $$+$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations"], "answer_analysis": ["N/A. (US $$2005$$ Math kangaroo Problems, Level $$1-2$$, Question \\#$$20$$) "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7121", "queId": "54f4553159ad4a45a53a3eadda5b90b0", "competition_source_list": ["其它"], "difficulty": "0", "qtype": "single_choice", "problem": "Bud returns from the shops at $$2:15$$ pm, $$3$$ hours $$40$$ minutes after she left her hourse. At what time did she leave her house? ", "answer_option_list": [[{"aoVal": "A", "content": "$$10:35$$ am "}], [{"aoVal": "B", "content": "$$11:25$$ am "}], [{"aoVal": "C", "content": "$$11:35$$ am "}], [{"aoVal": "D", "content": "$$1:25$$ pm "}], [{"aoVal": "E", "content": "$$5:55$$ pm "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": null, "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7122", "queId": "54f6a4f54a2340d798f00e3a54f3a45c", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "~\\uline{~~~~~~~~~~}~ ", "answer_option_list": [[{"aoVal": "A", "content": "$$13$$ "}], [{"aoVal": "B", "content": "$$14$$ "}], [{"aoVal": "C", "content": "$$15$$ "}], [{"aoVal": "D", "content": "$$16$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7123", "queId": "5e1dd69e135e40ec990c4ed196080896", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A concert has two $$40$$-minute parts and has a few commercials between them. The concert started at $$2:00$$ PM and ended at $$3:35$$ PM. How long did the commercials last for in total? ", "answer_option_list": [[{"aoVal": "A", "content": "$$30$$ min "}], [{"aoVal": "B", "content": "$$20$$ min "}], [{"aoVal": "C", "content": "$$15$$ min "}], [{"aoVal": "D", "content": "$$10$$ min "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7127", "queId": "6beb1bf086bb4a9fb9f55e1aed2b46f1", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Three fund managers invested in stocks. Jack bought 66 stocks, Wendy bought 40, and Leo bought 23. Jack and Wendy both bought 17 of the same stocks, Wendy and Leo bought 13 of the same, and Leo and Jack bought 9 of the same. All three of them bought 6 of the same stocks.~ How many stocks in total did the three managers purchase? ", "answer_option_list": [[{"aoVal": "A", "content": "$$90$$ "}], [{"aoVal": "B", "content": "$$84$$ "}], [{"aoVal": "C", "content": "$$95$$ "}], [{"aoVal": "D", "content": "$$96$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"], "answer_analysis": null, "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7129", "queId": "79c16a48ad134e95be2b26b295563d1e", "competition_source_list": [], "difficulty": "2", "qtype": "single_choice", "problem": "Fill in the blanks with digits so that the equality is true: $$45\\times $$\\_$$3=3$$\\_ \\_ \\_. The sum of the four digits placed in the blanks is:． ", "answer_option_list": [[{"aoVal": "A", "content": "equal to $$20$$ "}], [{"aoVal": "B", "content": "equal to $$21$$ "}], [{"aoVal": "C", "content": "equal to $$17$$ "}], [{"aoVal": "D", "content": "more than $$21$$ "}], [{"aoVal": "E", "content": "less than $$17$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"], "answer_analysis": ["N/A. "], "answer_value": "D"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7130", "queId": "7520c60de04d49ca8e453adb7de3ae2e", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "A movie started at $$2.45 \\text{p.m.}$$ It ended at $$4.30 \\text{p.m.}$$ How long did the movie last? ． ", "answer_option_list": [[{"aoVal": "A", "content": "$$1 \\space \\text{h} \\space 25 \\space \\min $$ "}], [{"aoVal": "B", "content": "$$1 \\space \\text{h} \\space 45 \\space \\min $$ "}], [{"aoVal": "C", "content": "$$2 \\space \\text{h} \\space 15 \\space \\min $$ "}], [{"aoVal": "D", "content": "$$2 \\space \\text{h} \\space 45 \\space \\min $$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7131", "queId": "cc1a73aaa580409e946307a82a412445", "competition_source_list": ["其它"], "difficulty": "2", "qtype": "single_choice", "problem": "Susan had dinner with her family. She started cooking at $$3:25$$ P.M. and cooked for $2$ hours and $45$ minutes. They finished eating at $8:50$ P.M., how long did they eat? ", "answer_option_list": [[{"aoVal": "A", "content": "$$50$$min "}], [{"aoVal": "B", "content": "$$1$$ h $$50$$ min "}], [{"aoVal": "C", "content": "$$2$$ h $$50$$ min "}], [{"aoVal": "D", "content": "$$3$$ h "}], [{"aoVal": "E", "content": "$$3$$ h $$15$$ min "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Distance Word Problems->Bus Departure Time Word Problems"], "answer_analysis": null, "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7138", "queId": "240abd620af143d8ad514366a4a3a3ab", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "A certain town is inhabited only by knights and liars. Knights always tell the truth and liars always lie. One day, several of the townspeople met in a room and three of them made the following statements: $$\\bullet$$ First person: \"There are no more than three of us in the room. Each of us is a liar.\" $$\\bullet$$ Second person: \"There are at most four people in the room, Not every one of us is a liar.\" $$\\bullet$$ Third person: \"There are five people in the room. Three of us are liars.\" How many people were in the room and how many of them were liars? ", "answer_option_list": [[{"aoVal": "A", "content": "$$3$$ people, $$1$$ liar "}], [{"aoVal": "B", "content": "$$4$$ people, $$1$$ liar "}], [{"aoVal": "C", "content": "$$4$$ people, $$2$$ liars "}], [{"aoVal": "D", "content": "$$5$$ people, $$2$$ liars "}], [{"aoVal": "E", "content": "$$5$$ people, $$3$$ liars "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning using Hypothesis->Truth or Lie"], "answer_analysis": ["N/A. "], "answer_value": "C"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7151", "queId": "2cbd45b866a543b3b28b1b9c5f278ffb", "competition_source_list": ["其它"], "difficulty": "1", "qtype": "single_choice", "problem": "- $$\\star$$ is the smallest $$4$$-digit number that can be created using all the digits $$2, 0, 2$$ and $$1$$. - $$\\diamond$$ is the largest $$4$$-digit number that can be created using all the digits $$2, 0, 2$$ and $$1$$. Find the value of $$\\diamond - \\star$$. ", "answer_option_list": [[{"aoVal": "A", "content": "$$1188$$ "}], [{"aoVal": "B", "content": "$$1179$$ "}], [{"aoVal": "C", "content": "$$1008$$ "}], [{"aoVal": "D", "content": "$$999$$ "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"], "answer_analysis": ["$$N.A$$ "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7156", "queId": "b502eee9c563436d9f2d2ac0c91f9035", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Misa went to the leisure centre. She used the gym for $$50$$ minutes and then went swimming for $$25$$ minutes. How long did she exercise altogether? ", "answer_option_list": [[{"aoVal": "A", "content": "$$1$$ hour and $$15$$ minutes "}], [{"aoVal": "B", "content": "$$1.15$$ hours "}], [{"aoVal": "C", "content": "$$7$$ hours and $$5$$ minutes "}], [{"aoVal": "D", "content": "$$7.5$$ hours "}], [{"aoVal": "E", "content": "$$7$$ hours and $$50$$ minutes "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "A"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7163", "queId": "314142b1939942a8831f7e972981fe72", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "We place the signs $$+$$, $$-$$ and $$=$$ between the digits: $$4$$ $$8$$ $$3$$ $$3$$ $$6$$ $$9$$ in such a way that an equality is made. The sequence of the signs is~\\uline{~~~~~~~~~~}~. 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When the time is $$12:17 \\rm{P.M.}$$ or $$\\rm{A.M.}$$, the clock will show $$12:17 \\rm{P.M.}$$ or $$\\rm{A.M.}$$ respectively. How many minutes later will Archie\\textquotesingle s clock show digits again in consecutive order? ", "answer_option_list": [[{"aoVal": "A", "content": "$$507$$ minutes "}], [{"aoVal": "B", "content": "$$458$$ minutes "}], [{"aoVal": "C", "content": "$$467$$ minutes "}], [{"aoVal": "D", "content": "$$407$$ minutes "}], [{"aoVal": "E", "content": "None of the above "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem"], "answer_analysis": ["$$N.A$$ "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7200", "queId": "47c30ab5fd0642eeb4604254150da2c7", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "Marysia leaves her house at $$6:55$$ and arrives at school at $$7:32$$. Zosia needs $$12$$ minutes less than Marysia to get to school. Yesterday Zosia showed up at school at $$7:45$$. What time did she leave her house? ", "answer_option_list": [[{"aoVal": "A", "content": "At $$7:07$$ "}], [{"aoVal": "B", "content": "At $$7:20$$ "}], [{"aoVal": "C", "content": "At $$7:25$$ "}], [{"aoVal": "D", "content": "At $$7:30$$ "}], [{"aoVal": "E", "content": "At $$7:33$$ "}]], "knowledge_point_routes": ["Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"], "answer_analysis": ["N/A. "], "answer_value": "B"} +{"dataset_name": "prime_math_competition_en_single_choice_8K_dev", "dataset_version": "2023-07-07", "qid": "7203", "queId": "2909c9fa13d64982960122a9844864fc", "competition_source_list": [], "difficulty": "1", "qtype": "single_choice", "problem": "What is the least possible number of children in the Kowalski family if each of the children has at least one brother and at least one sister? 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