dataset_name stringclasses 4
values | dataset_version timestamp[s] | qid stringlengths 1 5 | queId stringlengths 32 32 | competition_source_list list | difficulty stringclasses 5
values | qtype stringclasses 1
value | problem stringlengths 6 1.51k | answer_option_list list | knowledge_point_routes list | answer_analysis list | answer_value stringclasses 7
values |
|---|---|---|---|---|---|---|---|---|---|---|---|
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9665 | 45871946ef8244f8a58d197e59f3c60d | [] | 1 | single_choice | This year, March $$19$$\textsuperscript{th} falls on a Thursday. What day of the week will it be in $$30$$ days? | [
[
{
"aoVal": "A",
"content": "Wednesday "
}
],
[
{
"aoVal": "B",
"content": "Thursday "
}
],
[
{
"aoVal": "C",
"content": "Friday "
}
],
[
{
"aoVal": "D",
"content": "Saturday "
}
],
[
{
"aoVal": "E",
"co... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"$$30\\div7=4 \\text{R} 2$$, two days after Thursday, which is Saturday. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9667 | 6906e7a13861475397f210d7a6340a16 | [] | 1 | single_choice | A $70\textbackslash\%$ alcohol solution contains $$120$$ g of water. How many g of solution are there? | [
[
{
"aoVal": "A",
"content": "$$200$$ g "
}
],
[
{
"aoVal": "B",
"content": "$$300$$ g "
}
],
[
{
"aoVal": "C",
"content": "$$400$$ g "
}
],
[
{
"aoVal": "D",
"content": "$$500$$ g "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems"
] | [
"$$120\\div(1-70\\textbackslash\\%)=400$$ g. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9668 | 9ed41f37aee047388beb5e8266583b57 | [] | 1 | single_choice | It\textquotesingle s summer time! A beverage shop mixes $10$ bottles of apple and $20$ bottles of watermelon juice to make the new blended juice. The costs of a bottle of apple and a bottle of watermelon juice are $8$ and $11$ dollars, respectively. If the size of the bottle does not change, what is the cost of each bo... | [
[
{
"aoVal": "A",
"content": "$$7$$ "
}
],
[
{
"aoVal": "B",
"content": "$$8$$ "
}
],
[
{
"aoVal": "C",
"content": "$$9$$ "
}
],
[
{
"aoVal": "D",
"content": "$$10$$ "
}
],
[
{
"aoVal": "E",
"content": "$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] | [
"Total cost: $$10\\times 8+11\\times 20=300$$. There are $$10+20=30$$ bottles, so each bottle of the blended juice should be $$300\\div 30=10$$ dollars. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9671 | 52b13edc078f456c8c44ab0eb1e5a3c6 | [] | 1 | single_choice | Irene mixes $$100$$ kilograms of dogfood that contains $$50\textbackslash\%$$ rice with $$400$$ kilograms of dogfood that contains $$80\textbackslash\%$$ rice. Find the percent concentration of the rice in the new mixture. | [
[
{
"aoVal": "A",
"content": "$$70\\textbackslash\\%$$ "
}
],
[
{
"aoVal": "B",
"content": "$$72\\textbackslash\\%$$ "
}
],
[
{
"aoVal": "C",
"content": "$$75\\textbackslash\\%$$ "
}
],
[
{
"aoVal": "D",
"content": "$$74\\textba... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] | [
"$$\\dfrac{100\\times50\\textbackslash\\%+400\\times80\\textbackslash\\%}{100+400}=74\\textbackslash\\%$$. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9675 | 49df079d09e041e3a872333615b511bd | [
"其它"
] | 2 | single_choice | Chris and Debbie want to buy the same book, but they do not take enough money. Chris needs $$2$$ dollars and $$30$$ cents more to buy that book. Debbie needs $$3$$ dollars and $$80$$ cents more to buy that book. The sum of their own money is equal to the price of the book. How much is the book? | [
[
{
"aoVal": "A",
"content": "$$2$$ dollars and $$30$$ cents "
}
],
[
{
"aoVal": "B",
"content": "$$4$$ dollars and $$60$$ cents "
}
],
[
{
"aoVal": "C",
"content": "$$7$$ dollars and $$60$$ cents "
}
],
[
{
"aoVal": "D",
"conte... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] | [
"$$2$$ dollars and $$30$$ cents + $$3$$ dollars and $$80$$ = $$6$$ dollars and $$10$$ cents "
] | E |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9676 | e872082fa33d407788a7481807f372fa | [
"其它"
] | 1 | single_choice | The average cost of a long-distance call in the USA in 1985 was 56 cents per minute, and the average cost of a long-distance call in the USA in 2018 was 2 cents per minute. Find the approximate percent decrease in the cost per minute of a long- distance call. (2007 AMC 8, Question \#6) | [
[
{
"aoVal": "A",
"content": "$$90$$ "
}
],
[
{
"aoVal": "B",
"content": "$$95$$ "
}
],
[
{
"aoVal": "C",
"content": "$$96$$ "
}
],
[
{
"aoVal": "D",
"content": "$$97$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] | [
"The percent decrease is (the amount of decrease)/(original amount) the amount of decrease is $56-2=54$ so the percent decrease is $\\frac{54}{56}$ which is about $ 96 \\textbackslash\\%$ "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9682 | df32c5d6e39e43f1bfa7f7e89f65069f | [
"其它"
] | 2 | single_choice | There are $$2$$ inlets (namely $$\text{A}$$ and $$\text{B}$$) in a pool. If only inlet $$\text{A}$$ is open, it takes $$36$$ minutes to fill up the empty pool. If only inlet $$\text{B}$$ is open, it takes $$48$$ minutes to fill up the empty pool. Now, inlets $$\text{A}$$ and $$\text{B}$$ will be open in turns, accordin... | [
[
{
"aoVal": "A",
"content": "$$36$$ "
}
],
[
{
"aoVal": "B",
"content": "$$39$$ "
}
],
[
{
"aoVal": "C",
"content": "$$41$$ "
}
],
[
{
"aoVal": "D",
"content": "$$44$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems"
] | [
"C "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9683 | f1b3beaa52b6412d87d9a0f46011ffd8 | [
"其它"
] | 1 | single_choice | Joe lives on the $3$\textsuperscript{rd}~floor. He needs to spend $12$ minutes to move from the $4$\textsuperscript{th} floor to the $5$\textsuperscript{th} floor. How many minutes does he need to climb from the $1$\textsuperscript{st} floor to the $3$\textsuperscript{rd} floor? | [
[
{
"aoVal": "A",
"content": "$$12$$ "
}
],
[
{
"aoVal": "B",
"content": "$$24$$ "
}
],
[
{
"aoVal": "C",
"content": "$$36$$ "
}
],
[
{
"aoVal": "D",
"content": "$$48$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] | [
"$12 \\times (3 - 1) = 24$ "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9687 | a37058e3a352455b99a8188eb85d422a | [] | 1 | single_choice | Three people $$A$$, $$B$$, and $$C$$ have a total of $$$200$$. Given that the ratio of $${A}'$$ s total to $${B}'$$s total is $$4:3$$, and $$A$$ has $$$20$$ more than $$C$$, how much does $$C$$ have? | [
[
{
"aoVal": "A",
"content": "$$24$$ "
}
],
[
{
"aoVal": "B",
"content": "$$36$$ "
}
],
[
{
"aoVal": "C",
"content": "$$48$$ "
}
],
[
{
"aoVal": "D",
"content": "$$60$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] | [
"Assume that $$C$$ borrows $$$20$$. Therefore, $$A:B:C = 4:3:4$$, for a total sum of $$11$$ increments, or $$$220$$. One increment is $$220\\div 11=20$$ dollars. Therefore, $$C$$ has a total of $$4\\times 20-20=60$$ dollars. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9688 | 4e5378d30db74cd597bd8a1eb3d6563a | [] | 1 | single_choice | If $$29^{}\text{th}$$May is Monday, what day of the week is $$1$$\textsuperscript{st~}May ? | [
[
{
"aoVal": "A",
"content": "Sunday "
}
],
[
{
"aoVal": "B",
"content": "Monday "
}
],
[
{
"aoVal": "C",
"content": "Wednesday "
}
],
[
{
"aoVal": "D",
"content": "Tuesday "
}
],
[
{
"aoVal": "E",
"c... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"There are 29 days between $$29^{}\\text{th}$$May and~ $$1$$\\textsuperscript{st~}May. Apart from $29$\\textsuperscript{th} May itself, there are 28 days = 4 week. Therefore,~~$$1$$\\textsuperscript{st~}March is Monday. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9689 | 6d95c5218ecb44c0800ba554304ed5bb | [] | 1 | single_choice | Linda paid $$8$$ dollars for $$4$$ potatoes. How many dollars did Linda pay for the same kind of potatoes if she bought $$6$$ more of them? (adapted from $$2008$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$13$$) | [
[
{
"aoVal": "A",
"content": "$$18$$ "
}
],
[
{
"aoVal": "B",
"content": "$$20$$ "
}
],
[
{
"aoVal": "C",
"content": "$$24$$ "
}
],
[
{
"aoVal": "D",
"content": "$$22$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] | [
"Linda paid ＄$$8$$ for $$4$$ potatoes, $$8\\div4=2$$, so we can know $$1$$ potatoes cost $$2$$ dollars. In total Linda should pay $$2\\times10=20$$ dollars for $$10$$ potatoes. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9694 | 5b9a997201b341e892f56ae1b9dbbbb4 | [
"其它"
] | 1 | single_choice | There are $5$ people in Harry\textquotesingle s family with an average height of $168$ cm. The heights of Harry, Harry\textquotesingle s mom, Harry\textquotesingle s sister, and Harry\textquotesingle s brother are $170$ cm, $160$ cm, $162$ cm, and $175$ cm, respectively. What is the height of Harry\textquotesingle s da... | [
[
{
"aoVal": "A",
"content": "$$163$$ "
}
],
[
{
"aoVal": "B",
"content": "$$165$$ "
}
],
[
{
"aoVal": "C",
"content": "$$171$$ "
}
],
[
{
"aoVal": "D",
"content": "$$173$$ "
}
],
[
{
"aoVal": "E",
"conte... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] | [
"$(170-168)-(168-160)-(168-162)+(175-168)=-5$. $168+5=173$. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9695 | 49f28852c5434e34b444cb408fb0c0e3 | [
"其它"
] | 1 | single_choice | Vera invited $$13$$ guests to her birthday party. She had $$2$$ pizzas, and each of them was cut into $$8$$ slices. Each person at the party ate one slice of pizza. How many slices of pizza were left over? (2015 Math Kangaroo Problem, Level 1-2, Question \#14) | [
[
{
"aoVal": "A",
"content": "$$5$$ "
}
],
[
{
"aoVal": "B",
"content": "$$4$$ "
}
],
[
{
"aoVal": "C",
"content": "$$3$$ "
}
],
[
{
"aoVal": "D",
"content": "$$2$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Simple Multiplication Applications"
] | [
"There were $8\\times2=16$ slices. $13+1=14$ slices of pizza were ate, so there were $16-14=2$ slices left. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9705 | 722f025bcaae4a4fa2cb14d6eb8146f2 | [] | 1 | single_choice | If this is March, what month will it be $$1993$$ months from today? | [
[
{
"aoVal": "A",
"content": "January "
}
],
[
{
"aoVal": "B",
"content": "February "
}
],
[
{
"aoVal": "C",
"content": "March "
}
],
[
{
"aoVal": "D",
"content": "April "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"Since $$12\\times166 +1= 1992 + 1= 1993$$, the month will be April. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9706 | 76b28da6c1f84379a56ebc245f79cf2d | [] | 1 | single_choice | In $$1975$$ it was estimated that there were $$250000$$ lions in Africa. Over $$40$$ years this figure has decreased by $$90\textbackslash\%$$. What is the current estimate for the number of lions in Africa ? | [
[
{
"aoVal": "A",
"content": "$$25000$$ "
}
],
[
{
"aoVal": "B",
"content": "$$100000$$ "
}
],
[
{
"aoVal": "C",
"content": "$$160000$$ "
}
],
[
{
"aoVal": "D",
"content": "$$225000$$ "
}
],
[
{
"aoVal": "E",
... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] | [
"A $$90\\textbackslash\\%$$ decrease means $$10\\textbackslash\\%$$ of $$250000 = 250000 \\div 10 = 25000$$ of the lions remain. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9709 | 52d505a8f3d44b3492cb7e8d9c3bde52 | [] | 1 | single_choice | Annie usually leaves her cell phone on. If her cell phone is on but she is not actually using it, the battery will last for $$36$$ hours. If she is using it constantly, the battery will last for only $$10$$ hours. Since the last recharge, her phone has been on $$20$$ hours, and during that time she has used it for $$12... | [
[
{
"aoVal": "A",
"content": "$$0$$ "
}
],
[
{
"aoVal": "B",
"content": "$$1$$ "
}
],
[
{
"aoVal": "C",
"content": "$$3$$ "
}
],
[
{
"aoVal": "D",
"content": "$$4$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems"
] | [
"When not being used, the cell phone uses up $$\\dfrac{1}{36}$$ of its battery per hour. When being used, the cell phone uses up $$\\dfrac{1}{10}$$ of its battery per hour. Since Annie\\textquotesingle s phone has been on for $$20$$ hours, of those $$18$$ simply on and $2$ being used, $$18\\times\\left(\\dfrac{1}{3... | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9712 | 4e6efc7dd9234222b405a216a7444318 | [
"其它"
] | 0 | single_choice | A cow gives $24$ liters of milk each day. If the milkman sells $80$\% of the milk, how many liters of milk is left with him? | [
[
{
"aoVal": "A",
"content": "$$4$$ "
}
],
[
{
"aoVal": "B",
"content": "$$4.8$$ "
}
],
[
{
"aoVal": "C",
"content": "$$19.2$$ "
}
],
[
{
"aoVal": "D",
"content": "$$20$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] | [
"$24 \\times 80$\\%=$19.2$, $24-19.2=4.8$, $4.8$ liters of milk is left with him. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9713 | 6027e8e176db4f13bc404dd0f362ec51 | [] | 1 | single_choice | Patrick got into a lift. He went down six floors, up seven floors and then down eight floors. He was finally on the third floor. Which floor did Patrick get into the lift? | [
[
{
"aoVal": "A",
"content": "$$3^{rd}$$ "
}
],
[
{
"aoVal": "B",
"content": "$$4^{th}$$ "
}
],
[
{
"aoVal": "C",
"content": "$$10^{th}$$ "
}
],
[
{
"aoVal": "D",
"content": "$$11^{th}$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] | [
"$3+8-7+6=10$ "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9718 | 4e7574217a9e4f18a4d06ba660ca5f37 | [] | 1 | single_choice | Together, Bob, Colin and Dave weigh $$195\text{kg}$$. Bob weighs $$9\text{kg}$$ more than Colin and $$6\text{kg}$$ more than Dave. How much does Bob weigh? | [
[
{
"aoVal": "A",
"content": "$$60\\text{kg}$$ "
}
],
[
{
"aoVal": "B",
"content": "$$66\\text{kg}$$ "
}
],
[
{
"aoVal": "C",
"content": "$$69\\text{kg}$$ "
}
],
[
{
"aoVal": "D",
"content": "$$70\\text{kg}$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Sum and Differences Problems with multiple Variables"
] | [
"Nil "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9721 | 7fd4bec9942f485db9470667a7f1d3c4 | [] | 1 | single_choice | Helen said to Mary, "If you give me $$4$$ apples, I will have exactly as many apples as you." How many more apples does Mary have than Helen? | [
[
{
"aoVal": "A",
"content": "$$3$$ "
}
],
[
{
"aoVal": "B",
"content": "$$6$$ "
}
],
[
{
"aoVal": "C",
"content": "$$8$$ "
}
],
[
{
"aoVal": "D",
"content": "$$12$$ "
}
],
[
{
"aoVal": "E",
"content": "$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Differences and Integer Multiples"
] | [
"Difference: $4+4=8$ "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9722 | 574c2289044940d29384c552ef18bfd9 | [] | 1 | single_choice | To make a pudding, you need $$2$$ ounces of flour and $$10$$ ounces of milk. You have $$10$$ ounces of flour and want to make as many puddings as possible. How much milk do you need? | [
[
{
"aoVal": "A",
"content": "$$20$$ ounces "
}
],
[
{
"aoVal": "B",
"content": "$$30$$ ounces "
}
],
[
{
"aoVal": "C",
"content": "$$40$$ ounces "
}
],
[
{
"aoVal": "D",
"content": "$$50$$ ounces "
}
],
[
{
"a... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] | [
"The ratio of flour to milk is $$2:10$$ or $$1:5$$. With $$10$$ ounces of flour, you could make as many as $$5$$ puddings. At the same time, you need $$50$$ more ounces of milk. The ratio of flour to milk is $$10:50$$, or $$1:5$$. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9724 | bf0baf867fb04a1890cf2c0d725ae0c2 | [
"其它"
] | 1 | single_choice | NBA playoffs are held annually. The $62$\textsuperscript{nd~}NBA playoffs were held in $2008$. When Judy was $10$ years old, the $58$\textsuperscript{th}~NBA playoffs were held. When was Judy born? | [
[
{
"aoVal": "A",
"content": "$$1991$$ "
}
],
[
{
"aoVal": "B",
"content": "$$1992$$ "
}
],
[
{
"aoVal": "C",
"content": "$$1994$$ "
}
],
[
{
"aoVal": "D",
"content": "$$1996$$ "
}
],
[
{
"aoVal": "E",
"c... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] | [
"$62-58=4$ $2008-4-10=1994$ "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9730 | 76c28a7271da4c22b77302916e516ce8 | [] | 1 | single_choice | Frank stands in line and has $$76$$ people behind him, If there are a total of $$110$$ people in line, how many people are there in front of Frank? | [
[
{
"aoVal": "A",
"content": "$$33$$ "
}
],
[
{
"aoVal": "B",
"content": "$$34$$ "
}
],
[
{
"aoVal": "C",
"content": "$$35$$ "
}
],
[
{
"aoVal": "D",
"content": "$$36$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of one Character in a Line"
] | [
"If there are a total of $$110$$ people in line, subtract those behind Frank and Frank himself: $$110-76-1=33$$, the number in front of Frank. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9743 | daa913b8daeb46db96d7a9c41ea715ba | [] | 1 | single_choice | A teacher distributes scorecards to students, if everyone gets $3$ cards, there will be a shortage of $12$ cards. If everyone gets $2$ cards, all these cards will just be divided. Then, how many students are there in total? | [
[
{
"aoVal": "A",
"content": "$$4$$ "
}
],
[
{
"aoVal": "B",
"content": "$$6$$ "
}
],
[
{
"aoVal": "C",
"content": "$$10$$ "
}
],
[
{
"aoVal": "D",
"content": "$$12$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] | [
"If $2-1=1$ less card is given to students, the situation would transfer from \\textquotesingle a shortage of $12$ cards\\textquotesingle~ to \\textquotesingle all cards are just divided\\textquotesingle{} . Therefore. the shortage of $12$ cards is equal to the number of cards that everyone gets $1$ less card. So, ... | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9746 | b5e0bf8c83384ecfb0a3e2a10f750935 | [] | 1 | single_choice | Which date is $$100$$ days after November $$6\text{th}$$? | [
[
{
"aoVal": "A",
"content": "February $$14$$ "
}
],
[
{
"aoVal": "B",
"content": "February $$15$$ "
}
],
[
{
"aoVal": "C",
"content": "February $$16$$ "
}
],
[
{
"aoVal": "D",
"content": "February $$17$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"It\\textquotesingle s $$92$$ days $$\\left( 30+31+31 \\right)$$ from Nov. $$6$$ to Feb. $$6$$;~$$8$$ days later is $$100$$ days. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9748 | 60465f4d2cbc4d7aa78c17d91ec839ee | [] | 1 | single_choice | Karl Lecter has been collecting $$1\text{p}$$, $$2\text{p}$$ and $$5\text{p}$$ coins in a jar. All but $$10$$ of his coins are $$1\text{p}$$ coins, all but $$10$$ are $$2\text{p}$$ coins, and all but $$10$$ are $$5\text{p}$$ coins. How much money does he have? | [
[
{
"aoVal": "A",
"content": "$$8\\text{p}$$ "
}
],
[
{
"aoVal": "B",
"content": "$$10\\text{p}$$ "
}
],
[
{
"aoVal": "C",
"content": "$$25\\text{p}$$ "
}
],
[
{
"aoVal": "D",
"content": "$$40\\text{p}$$ "
}
],
[
{
... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] | [
"All but $$10$$ of the coins are $$1\\text{p}$$ coins, which tells us that the number of $$2\\text{p}$$ and $$5\\text{p}$$ coins adds up to $$10$$. Similarly, the total of the $$1\\text{p}$$ and $$5\\text{p}$$ coins is $$10$$ and the total of the $$1\\text{p}$$ and $$2\\text{p}$$ coins is $$10$$. He therefore has $... | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9749 | 57644ad9f67646e49ad571e3f2ef1386 | [] | 1 | single_choice | When I add together the number of sides of a quadrilateral, a trapezoid, and a parallelogram, I get a total of． | [
[
{
"aoVal": "A",
"content": "$$12$$ "
}
],
[
{
"aoVal": "B",
"content": "$$13$$ "
}
],
[
{
"aoVal": "C",
"content": "$$14$$ "
}
],
[
{
"aoVal": "D",
"content": "$$15$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] | [
"Quadrilaterals, trapezoids, and parallelograms each have $$4$$ sides each, so the total number of sides is $$4+4+4=12$$. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9750 | ccdb879b2b034301a073c0c16baf50b3 | [] | 1 | single_choice | A ship was attacked by pirates. One by one the pirates climb a rope to get on the ship. The pirate captain was the $$8$$\textsuperscript{th}~pirate to climb in line, and there were as many pirates in front of him as behind him. How many pirates climbed the rope? (2015 Math Kangaroo Problem, Level 1 - 2, Question \#18) ... | [
[
{
"aoVal": "A",
"content": "$$7$$ "
}
],
[
{
"aoVal": "B",
"content": "$$8$$ "
}
],
[
{
"aoVal": "C",
"content": "$$12$$ "
}
],
[
{
"aoVal": "D",
"content": "$$15$$ "
}
],
[
{
"aoVal": "E",
"content": "... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of one Character in a Line"
] | [
"The pirate captain was the $$8$$\\textsuperscript{th}~pirate and there were as many pirates in front of him as behind him, which means there were $$7$$ pirates in front of him and there were also $$7$$ pirates behind him. The total number of pirates is~~$$7+7+1=15$$. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9754 | 846e25e2b6454aefa7beb83795f98a63 | [] | 1 | single_choice | If $$28$$ January $$2000$$ falls on a Friday, which day of the week will $$28$$ January $2001$ fall on? | [
[
{
"aoVal": "A",
"content": "Thursday "
}
],
[
{
"aoVal": "B",
"content": "Friday "
}
],
[
{
"aoVal": "C",
"content": "Saturday "
}
],
[
{
"aoVal": "D",
"content": "Sunday "
}
],
[
{
"aoVal": "E",
"conte... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"$2000$ is a leap year and the period includes $29$ Feb, so there are $366$ days. $366\\div7=52$ R $2$ Friday $+$ $2$ days $\\rightarrow$ Sunday "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9760 | b15121ae3dea41d4b9c1a162982af903 | [] | 1 | single_choice | There are $$9$$ benches in the park, which have the same length. They are placed on one side of the road every $$7$$ meters from end to end. Given that the length of the road is $$74$$ meters, how long is the bench? | [
[
{
"aoVal": "A",
"content": "$$1$$ m "
}
],
[
{
"aoVal": "B",
"content": "$$2$$ m "
}
],
[
{
"aoVal": "C",
"content": "$$3$$ m "
}
],
[
{
"aoVal": "D",
"content": "$$4$$ m "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] | [
"The $$9-1=8$$ intervals are $$7\\times8=56$$ meters in total. So, the sum of length of all the benches is $$74-56=18$$ meters and each of them is $$18\\div9=2$$ meters. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9765 | 890deee908284801b203f7545682bf20 | [
"其它"
] | 1 | single_choice | Nancy did an experiment. She inserted a paper straw vertically into the bottom of a bottle of black ink. Then, she found that the length of the black part of the paper straw was exactly $12$ cm. She turned the straw upside down and inserted the other end vertically into the bottom of the bottle. She found that the leng... | [
[
{
"aoVal": "A",
"content": "$$12$$ "
}
],
[
{
"aoVal": "B",
"content": "$$24$$ "
}
],
[
{
"aoVal": "C",
"content": "$$28$$ "
}
],
[
{
"aoVal": "D",
"content": "$$30$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"The black parts of the straw was $$12+12=24$$ cm, so the part not colored was $$24\\div2=12$$ cm. Thus, the length of the straw was $$24+12=36$$ cm. "
] | E |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9767 | 95d940b6ed914de3991235c3f38a5f33 | [
"其它"
] | 2 | single_choice | $A$, $B$ and $C$ start from the same place at the same time and chase a cyclist in front of them along the same road. The three cars catch up with him in $6$, $10$ and $12$ minutes respectively. Given that car $A$\textquotesingle s speed is $24$ kilometers per hour, car $B$\textquotesingle s speed is $20$ kilometers pe... | [
[
{
"aoVal": "A",
"content": "$$21$$ "
}
],
[
{
"aoVal": "B",
"content": "$$19$$ "
}
],
[
{
"aoVal": "C",
"content": "$$18$$ "
}
],
[
{
"aoVal": "D",
"content": "$$16$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields->Basic Newton's Problem of Cows and Fields->Finding the Number of Cows"
] | [
"B "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9770 | 5be608c7fee5417a8e48ed7f1db4f1bf | [] | 1 | single_choice | Billy has three times as many llamas as lambs. Milly has twice as many lambs as llamas. They have $$17$$ animals in total. How many of the animals are llamas? | [
[
{
"aoVal": "A",
"content": "$$5$$ "
}
],
[
{
"aoVal": "B",
"content": "$$6$$ "
}
],
[
{
"aoVal": "C",
"content": "$$7$$ "
}
],
[
{
"aoVal": "D",
"content": "$$8$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Indefinite Equation Word Problems"
] | [
"Let Billy have $$b$$ lambs and $$3b$$ llamas. Let Milly have $$m$$ llamas and $$2m$$ lambs. Therefore, as they have $$17$$ animals in total, $$4b + 3m= 17$$. The only positive integer solution of this equation is $$b= 2$$, $$m= 3$$. So the number of llamas is $$3b + m = 3 \\times 2 + 3 = 6 + 3 = 9$$. "
] | E |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9776 | 5bea437d97484cd59a0f36c931190e65 | [] | 1 | single_choice | A $$25\textbackslash\%$$ salt solution contains $$75$$ g of water. How many g of solution are there? | [
[
{
"aoVal": "A",
"content": "$$100$$ g "
}
],
[
{
"aoVal": "B",
"content": "$$25.5$$ g "
}
],
[
{
"aoVal": "C",
"content": "$$25$$ g "
}
],
[
{
"aoVal": "D",
"content": "$$102$$ g "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] | [
"$$75\\div(1-25\\textbackslash\\%) = 100$$ g. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9780 | 76e4330ed2f44e71abacb80bc32be601 | [] | 1 | single_choice | At the red light, seven buses of the same length stop in a line. Given that the length of each bus is $$5$$ meters, and the distance between each two adjacent buses is $$2$$ meters, how long is the line? | [
[
{
"aoVal": "A",
"content": "$$35$$ m "
}
],
[
{
"aoVal": "B",
"content": "$$49$$ m "
}
],
[
{
"aoVal": "C",
"content": "$$47$$ m "
}
],
[
{
"aoVal": "D",
"content": "$$54$$ m "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] | [
"Among the $$7$$ buses, there are $$7-1=6$$ intervals. So the answer is $$7\\times5+2\\times6=47$$ meters. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9784 | 5bf28e7eac324ec0ab93d306a380b15e | [
"其它"
] | 1 | single_choice | $$37$$ sakura trees were planted along one side of the road. The trees were planted at $$4m$$ intervals. After drivers complained the road was too pink, pineapple trees were planted on the other side of the road at $$6m$$ intervals. How many pineapple trees were planted, if there were sakura and pineapple trees at both... | [
[
{
"aoVal": "A",
"content": "$$24$$ "
}
],
[
{
"aoVal": "B",
"content": "$$25$$ "
}
],
[
{
"aoVal": "C",
"content": "$$144$$ "
}
],
[
{
"aoVal": "D",
"content": "$$18$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] | [
"Number of sakura intervals = $$37-1 = 36$$ Length of road = $$36 \\times 4 = 144m$$ Number of pineapple intervals = $$144m \\div 6m = 24$$ Number of pineapple trees = $$24 + 1 = 25$$ "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9794 | 8cc59965e8964375b9739945e00503d8 | [] | 1 | single_choice | Agnijo has half as many apps as Sam who has a third as many apps as Naomi. Altogether, they have $$180$$ apps. How many apps does Sam have? | [
[
{
"aoVal": "A",
"content": "$$20$$ "
}
],
[
{
"aoVal": "B",
"content": "$$30$$ "
}
],
[
{
"aoVal": "C",
"content": "$$40$$ "
}
],
[
{
"aoVal": "D",
"content": "$$60$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] | [
"Let Agnijo have $$n$$ apps. Now Sam has $$2n$$, and Naomi $$6n$$. Therefore $$n+2n+6n = 9n = 180$$, and so $$n = 180\\div9 = 20$$. Hence Sam has $$2\\times20 = 40$$ apps. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9795 | c8549d345a0c46b6b2caa2ed27aef5c1 | [] | 1 | single_choice | In the amusement park, Jessie is playing with darts. For each time she hits the bullseye, she can win two toys. At the beginning she has $$3$$ toys and at the end she has $$23$$ toys. How many times did she hit the bullseye? (Adapted from 2006 Math Kangaroo Problem, Level 3-4, Question \#5) | [
[
{
"aoVal": "A",
"content": "$$6$$ "
}
],
[
{
"aoVal": "B",
"content": "$$8$$ "
}
],
[
{
"aoVal": "C",
"content": "$$10$$ "
}
],
[
{
"aoVal": "D",
"content": "$$5$$ "
}
],
[
{
"aoVal": "E",
"content": "$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] | [
"$(23-3)\\div2=10$ "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9801 | d18678a25e794ad0a46f2566faa2022e | [] | 1 | single_choice | October 10th, 2021 is Sunday. What day is October $$26$$th of the same year?~\uline{~~~~~~~~~~}~ | [
[
{
"aoVal": "A",
"content": "Sunday "
}
],
[
{
"aoVal": "B",
"content": "Monday "
}
],
[
{
"aoVal": "C",
"content": "Tuesday "
}
],
[
{
"aoVal": "D",
"content": "Wednesday "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates"
] | [
"$26-10=16$, $16\\div7=2\\textbackslash{} \\rm R\\textasciitilde2$,~ it\\textquotesingle s Tuesday. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9802 | 6df1f19cbcbf4bf59a053da92f7be17f | [
"其它"
] | 0 | single_choice | $$380$$ is~\uline{~~~~~~~~~~}~more than $$254$$. | [
[
{
"aoVal": "A",
"content": "$$126$$ "
}
],
[
{
"aoVal": "B",
"content": "$$124$$ "
}
],
[
{
"aoVal": "C",
"content": "$$534$$ "
}
],
[
{
"aoVal": "D",
"content": "$$634$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"$$380-254=126$$ "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9812 | 9f147088efab4199a74f8bf04901274a | [] | 1 | single_choice | There are $$11$$ flags on one side of a road. The distance between neighboring flags is $$5$$ meters. Grace walked from the first flag to the last flag. How many meters did she walk? (Adapted from 2007 Math Kangaroo Problem, Level 3-4, Question \#5) | [
[
{
"aoVal": "A",
"content": "$$45$$ "
}
],
[
{
"aoVal": "B",
"content": "$$50$$ "
}
],
[
{
"aoVal": "C",
"content": "$$55$$ "
}
],
[
{
"aoVal": "D",
"content": "$$65$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides->Planting Trees on Both Sides"
] | [
"$(11-1)\\times5=50$ "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9814 | 8010c1b9f7784c5fb4c0bcc3056c964f | [
"其它"
] | 1 | single_choice | Colin was preparing for the PE test. On the first day, he ran $1$ km. He decided that each day he would be running $100$ m more than the day before. How many meters did he run in total in the first $5$ days? | [
[
{
"aoVal": "A",
"content": "$$5600$$ "
}
],
[
{
"aoVal": "B",
"content": "$$5700$$ "
}
],
[
{
"aoVal": "C",
"content": "$$5800$$ "
}
],
[
{
"aoVal": "D",
"content": "$$6000$$ "
}
],
[
{
"aoVal": "E",
"c... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] | [
"$1000 + 1100 + 1200 + 1300 + 1400 = 6000$ "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9817 | ba8f45e790b549b4bca8a52d1a15a513 | [] | 1 | single_choice | In a mathematics contest with ten problems, a student gains $$5$$ points for a correct answer and loses $$2$$ points for an incorrect answer. If Olivia answered every problem and her score was $$29$$, how many correct answers did she have? | [
[
{
"aoVal": "A",
"content": "$$5$$ "
}
],
[
{
"aoVal": "B",
"content": "$$6$$ "
}
],
[
{
"aoVal": "C",
"content": "$$7$$ "
}
],
[
{
"aoVal": "D",
"content": "$$8$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] | [
"Suppose Olivia has $$x$$ correct answers. $$5x-2(10-x)=29$$, $$x=7$$. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9819 | 69819cc11a924f929d8c74ad0c150ef1 | [] | 1 | single_choice | Wendy had $$30$$ stickers. First, she gave Aiden three stickers. Then, she gave Terry $7$ stickers. Now, each of the three people had the same number of stickers. At the beginning, how many stickers did they have in total? | [
[
{
"aoVal": "A",
"content": "$$120$$ "
}
],
[
{
"aoVal": "B",
"content": "$$90$$ "
}
],
[
{
"aoVal": "C",
"content": "$$85$$ "
}
],
[
{
"aoVal": "D",
"content": "$$60$$ "
}
],
[
{
"aoVal": "E",
"content"... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] | [
"Now, Wendy had $30-3-7=20$ stickers. Then, all of them had $20\\times3=60$ stickers, which was equal to the total number of stickers they had at beginning. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9820 | c3c0f8aa6cbe4dfa9f343ff81acb993e | [] | 1 | single_choice | Bram bought $$60$$ beans for ＄$$3.00$$. At this price, $$100$$ beans cost． | [
[
{
"aoVal": "A",
"content": "＄$$3.50$$ "
}
],
[
{
"aoVal": "B",
"content": "＄$$4.00$$ "
}
],
[
{
"aoVal": "C",
"content": "＄$$5.00$$ "
}
],
[
{
"aoVal": "D",
"content": "＄$$5.50$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] | [
"If $$60$$ beans cost ＄$$3.00$$, then $$1$$ bean costs $$5$$￠and $$100$$ beans cost ＄$$5$$. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9831 | 7b93b912af3347eca232f73983f51522 | [] | 1 | single_choice | Historians say that William the Conqueror was born in $$1028$$. How many years ago was that? | [
[
{
"aoVal": "A",
"content": "$$790$$ "
}
],
[
{
"aoVal": "B",
"content": "$$810$$ "
}
],
[
{
"aoVal": "C",
"content": "$$910$$ "
}
],
[
{
"aoVal": "D",
"content": "$$990$$ "
}
],
[
{
"aoVal": "E",
"conte... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] | [
"The number of years from William\\textquotesingle s birth is $$2018 - 1028 = 990$$. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9832 | 8cdc8a9d32fa46a7882ef9654d8fb531 | [
"其它"
] | 1 | single_choice | A 20\% increase in the price of milk leads to a 10\% decrease in the quantity of cereal purchased. The cross-price elasticity of demand between milk and cereal is | [
[
{
"aoVal": "A",
"content": "-0.5 and the two goods are substitutes. "
}
],
[
{
"aoVal": "B",
"content": "-0.5 and the two goods are complements. "
}
],
[
{
"aoVal": "C",
"content": "0.5 and the two goods are complements. "
}
],
[
{
... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"This is an application of the cross-price elasticity equation: \\% change in QDx/\\% change in Py. -0.10/0.2 = -0.5. A negative number means the goods are complements. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9836 | 65153dd72b6e4f3ab19d6bfbe1d41e96 | [] | 1 | single_choice | If one bag of chips costs $$75$$￠, then three of these bags cost ． | [
[
{
"aoVal": "A",
"content": "$$$0.25$$ "
}
],
[
{
"aoVal": "B",
"content": "$$$1.50$$ "
}
],
[
{
"aoVal": "C",
"content": "$$$2.25$$ "
}
],
[
{
"aoVal": "D",
"content": "$$$3.00$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] | [
"One bag costs $$75$$￠. Three such bags cost $$3\\times $0.75=$2.25$$. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9838 | 8935325a2f8841329abd457a46dfe8a8 | [
"其它"
] | 1 | single_choice | After Sally takes $20$ shots, she has made $40 \textbackslash\%$ of her shots. After she takes $5$ more shots, she raises her percentage to $52 \textbackslash\%$. How many of the last $5$ shots did she make? ( adapted from 2004 AMC 8, Question\#6) | [
[
{
"aoVal": "A",
"content": "$$1$$ "
}
],
[
{
"aoVal": "B",
"content": "$$2$$ "
}
],
[
{
"aoVal": "C",
"content": "$$3$$ "
}
],
[
{
"aoVal": "D",
"content": "$$4$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] | [
"Sally made $0.4 * 20=8$ shots originally. Letting $x$ be the number of shots she made, we have $\\frac{8+x}{25}=0.52$. Solving for $x$ gives us $x=5$ "
] | E |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9841 | d1915cd52aa14043b378c8a248b904d6 | [] | 2 | single_choice | If $$1$$ August falls on Monday, which day of the week will $$12$$ September fall on? Below is Chris\textquotesingle~answer. Number of days from 1 Aug to 12 Sept: 31 + 12 = 43 43 $\div$ 7 = 6 R 1 Hence, 12 September is a Tuesday. Is Chris\textquotesingle s answer correct? If not, what is the correct answer? ． | [
[
{
"aoVal": "A",
"content": "Sunday "
}
],
[
{
"aoVal": "B",
"content": "Monday "
}
],
[
{
"aoVal": "C",
"content": "Tuesday "
}
],
[
{
"aoVal": "D",
"content": "Wednesday "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"Number of days from $$1$$ August to $$12$$ September $$=31+12-1$$ $$=42$$ $$42\\div 7=6$$ weeks Therefore, $$12$$ September will fall on \\textbf{Monday}. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9843 | bf341e42a94c4fa3a37d73a9ad186470 | [
"其它"
] | 2 | single_choice | The owner of a bicycle store had a sale on bicycles(two-wheelers) and tricycles(three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50 . When he counted the total number of wheels of the cycles, he got 64 . How many tricycles were offered in the sale? | [
[
{
"aoVal": "A",
"content": "$$8$$ "
}
],
[
{
"aoVal": "B",
"content": "$$10$$ "
}
],
[
{
"aoVal": "C",
"content": "$$12$$ "
}
],
[
{
"aoVal": "D",
"content": "$$14$$ "
}
],
[
{
"aoVal": "E",
"content": ... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] | [
"$50\\div 2=25$ let $x$ be the number of bicycles, $y$ be the number of tricycles $2x+3y=64$ $x+y=25$ "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9849 | 60a49036b33644e6a328cbbc6fb1d903 | [] | 1 | single_choice | Anna, Bridgit and Carol run in a $$100\text{m}$$ race. When Anna finishes, Bridgit is $$16\text{m}$$ behind her and when Bridgit finishes, Carol is $$25\text{m}$$ behind her. The girls run at constant speeds throughout the race. How far behind was Carol when Anna finished? | [
[
{
"aoVal": "A",
"content": "$$37\\text{m}$$ "
}
],
[
{
"aoVal": "B",
"content": "$$41\\text{m}$$ "
}
],
[
{
"aoVal": "C",
"content": "$$50\\text{m}$$ "
}
],
[
{
"aoVal": "D",
"content": "$$55\\text{m}$$ "
}
],
[
{
... | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] | [
"Carol finishes $$25$$ metres behind Bridgit, so she travels $$75$$ metres while Bridgit runs $$100$$ metres. Therefore she runs $$3$$ metres for every $$4$$ metres Bridgit runs. When Anna finishes, Bridgit has run $$84$$ metres, so that at that time Carol has run $$\\frac{3}{4}\\times 84$$ metres $$=63$$ metres. H... | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9851 | 60a687764dd54c1cb27065c9b3e044e2 | [] | 1 | single_choice | If $$6$$ cans of Sweet Stuff Soda all together contain $$96$$ teaspoons of sugar, then there are a total of teaspoons of sugar in $$15$$ cans. | [
[
{
"aoVal": "A",
"content": "$$192$$ "
}
],
[
{
"aoVal": "B",
"content": "$$208$$ "
}
],
[
{
"aoVal": "C",
"content": "$$240$$ "
}
],
[
{
"aoVal": "D",
"content": "$$288$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] | [
"If $$6$$ cans contain $$96$$ teaspoons of sugar, $$1$$ can contains $$96\\div6 = 16$$ teaspoons of sugar. Thus $$15$$ cans contain $$16\\times15 =240$$ teaspoons of sugar. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9853 | 57cd27020a934d9c86ec6c58e07daf7d | [] | 1 | single_choice | Given that January $$1$$st, $$2018$$ was Monday, on what day did January $$1$$st, $$2019$$ fall? | [
[
{
"aoVal": "A",
"content": "Tuesday "
}
],
[
{
"aoVal": "B",
"content": "Monday "
}
],
[
{
"aoVal": "C",
"content": "Sunday "
}
],
[
{
"aoVal": "D",
"content": "Wednesday "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"$2018$ was a common year which had $365$ days. Thus, January $$1$$st, $$2019$$ fell on one day after Monday, which was Tuesday. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9857 | 729b7bc7dbfe48a18f4ba5994d47257d | [] | 1 | single_choice | Three zebras take part in a contest. The winner is the zebra with the most number of stripes. QingLe has $$15$$ stripes, ChenXi has $$3$$ more than QingLe. QingLe has $$5$$ fewer stripes than YueYing. How many stripes does the winner have? | [
[
{
"aoVal": "A",
"content": "$$16$$ "
}
],
[
{
"aoVal": "B",
"content": "$$18$$ "
}
],
[
{
"aoVal": "C",
"content": "$$20$$ "
}
],
[
{
"aoVal": "D",
"content": "$$21$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"NA "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9859 | c869bafeca864002b7f9f6b6c2c8e7dd | [] | 1 | single_choice | In the yard there is an equal number of pigs, ducks and chickens. Together, they have $$144$$ legs. How many ducks are there in the yard? | [
[
{
"aoVal": "A",
"content": "$$18$$ "
}
],
[
{
"aoVal": "B",
"content": "$$21$$ "
}
],
[
{
"aoVal": "C",
"content": "$$35$$ "
}
],
[
{
"aoVal": "D",
"content": "$$42$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] | [
"Suppose there are $$x$$ ducks in the yard. Since there is an equal number of pigs, ducks and chickens, $$2x+4x+2x=144$$, $$x=18$$. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9862 | 5c416d4468a94614aeb7bb1f8cf0578d | [] | 1 | single_choice | Paul was going to buy $$4$$ servings of ice cream, but he was $$80$$ cents short. So, he bought $$3$$ servings and had $$30$$ cents left. What was the price of one serving of ice cream? | [
[
{
"aoVal": "A",
"content": "$$70$$ cents "
}
],
[
{
"aoVal": "B",
"content": "$$80$$ cents "
}
],
[
{
"aoVal": "C",
"content": "$$90$$ cents "
}
],
[
{
"aoVal": "D",
"content": "$$1$$ dollar "
}
],
[
{
"aoVal... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] | [
"$$(80+30)\\div (4-3)=110$$ cents $$=1$$ dollar and $$10$$ cents. "
] | E |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9863 | 72a2131fbcbe4fe08469f2f0c9420ec4 | [] | 1 | single_choice | A salt solution is made by mixing $100$ g of salt and $400$ g of water. Find the percent concentration of the mixture. | [
[
{
"aoVal": "A",
"content": "$15\\textbackslash\\%$ "
}
],
[
{
"aoVal": "B",
"content": "$20\\textbackslash\\%$ "
}
],
[
{
"aoVal": "C",
"content": "$25\\textbackslash\\%$ "
}
],
[
{
"aoVal": "D",
"content": "$30\\textbackslash... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Calculating Price from Cost and Profit"
] | [
"$$100\\div \\left( 100+400\\right) \\times 100\\textbackslash\\% =20\\textbackslash\\%$$. ~~ "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9868 | 84b5a251e7a7468484238c8415c28f8c | [] | 1 | single_choice | When $$4$$ kilograms of $$30\textbackslash\%$$ sugar water is mixed with some $$10\textbackslash\%$$ sugar water, it gives a mixture with a sugar concentration of $$26\textbackslash\%$$. How much $$10\textbackslash\%$$ sugar water is needed?~\uline{~~~~~~~~~~}~$$\text{kg}$$ | [
[
{
"aoVal": "A",
"content": "$$1$$ "
}
],
[
{
"aoVal": "B",
"content": "$$2$$ "
}
],
[
{
"aoVal": "C",
"content": "$$3$$ "
}
],
[
{
"aoVal": "D",
"content": "$$4$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems"
] | [
"Use the cross method $$\\begin{matrix}30\\textbackslash\\%10\\textbackslash\\% \\textbackslash\\textbackslash{} \\searrow \\swarrow \\textbackslash\\textbackslash{} 26 \\textbackslash\\% \\textbackslash\\textbackslash{} \\swarrow \\searrow \\textbackslash\\textbackslash{} 16 \\textbackslash\\%4\\textbackslash\\% \... | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9872 | bf3e487cb3b84880b9ffdb70e55f11e0 | [] | 1 | single_choice | Cindy has $$50$$ bookmarks. If she were to give $$6$$ bookmarks to each of her classmates, she would need $$10$$ more bookmarks. How many classmates does Cindy have? | [
[
{
"aoVal": "A",
"content": "$$4$$ "
}
],
[
{
"aoVal": "B",
"content": "$$6$$ "
}
],
[
{
"aoVal": "C",
"content": "$$10$$ "
}
],
[
{
"aoVal": "D",
"content": "$$12$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] | [
"$50+10=60$ $60\\div6=10$ "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9875 | 8cf109382d79418cb58df318e82bb310 | [
"其它"
] | 2 | single_choice | A mixture of 30 liters of paint is $25 \textbackslash\%$ red tint, $30 \textbackslash\%$ yellow tint and $45 \textbackslash\%$ water. Five liters of yellow tint are added to the original mixture. What is the percent of yellow tint in the new mixture? (2007 AMC 8, Question \#17 ) | [
[
{
"aoVal": "A",
"content": "$$25$$ "
}
],
[
{
"aoVal": "B",
"content": "$$35$$ "
}
],
[
{
"aoVal": "C",
"content": "$$40$$ "
}
],
[
{
"aoVal": "D",
"content": "$$45$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] | [
"Since $30 \\textbackslash\\%$ of the original 30 liters of paint was yellow, and 5 liters of yellow paint were added to make the new mixture, there are $9+5=14$ liters of yellow tint in the new mixture. Since only 5 liters of paint were added to the original 30 , there are a total of 35 liters of paint in the new ... | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9886 | 538bcac7bc50420fba12925c0bf06a47 | [
"其它"
] | 1 | single_choice | Josh lives on the $6$\textsuperscript{th} floor. He needs to climb $24$ steps to move from the $2$\textsuperscript{nd~}floor to the $4$\textsuperscript{th} floor. How many steps does he need to climb from the $1$\textsuperscript{st} floor to the $6$\textsuperscript{th} floor? | [
[
{
"aoVal": "A",
"content": "$$72$$ "
}
],
[
{
"aoVal": "B",
"content": "$$60$$ "
}
],
[
{
"aoVal": "C",
"content": "$$48$$ "
}
],
[
{
"aoVal": "D",
"content": "$$36$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] | [
"$24 \\div 2 \\times (6 - 1) = 60$ "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9888 | d6382e90d85940ab8f8d72f37cadd21f | [] | 2 | single_choice | Find the exact number of minutes after $3.00 \text{pm}$ when the minute and hour hands are first at $90^{\circ}$ to each other. | [
[
{
"aoVal": "A",
"content": "$$31 \\frac{2}{11}$$ "
}
],
[
{
"aoVal": "B",
"content": "$$31 \\frac{3}{11}$$ "
}
],
[
{
"aoVal": "C",
"content": "$$32 \\frac{8}{11}$$ "
}
],
[
{
"aoVal": "D",
"content": "$$33 \\frac{3}{11}$$ "
... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"The minute hand rotates $6^{\\circ}$ per minute. The hour hand rotates $\\dfrac{1}{60}\\times30^{\\circ}=\\left (\\dfrac{1}{2}\\right )^{\\circ}$ per mimte. Starting at $3$ O\\textquotesingle clock, when the minute and hour hands are next perpendicular: $$(90+90)\\div(6-0.5)=\\frac{360}{11}=32 \\frac{8}{11}$$ "... | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9889 | 653cee859ff248c8a40c6aac2f74a1e9 | [] | 1 | single_choice | The page numbers of a book are from $$1$$ to $$62$$. Tim adds up the $$62$$ page numbers. In his calculation, he misses a page number and the sum of remaining pages is $$1940$$. What is the missing page number~\uline{~~~~~~~~~~}~. | [
[
{
"aoVal": "A",
"content": "$$12$$ "
}
],
[
{
"aoVal": "B",
"content": "$$13$$ "
}
],
[
{
"aoVal": "C",
"content": "$$14$$ "
}
],
[
{
"aoVal": "D",
"content": "$$15$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] | [
"$$\\left( 1+62 \\right)\\times 62\\div 2=1953$$ $$1953-1940=13$$. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9894 | 60cb3a96467a40d08ca28de17fb9d247 | [
"其它"
] | 2 | single_choice | Suppose $50\textbackslash\%$ of $x$ equals $30\textbackslash\%$ of $y$. What percentage of $y$ is $x$ ? (adapted from 2020 AMC 8, Question 15) | [
[
{
"aoVal": "A",
"content": "$$40$$ "
}
],
[
{
"aoVal": "B",
"content": "$$60$$ "
}
],
[
{
"aoVal": "C",
"content": "$$80$$ "
}
],
[
{
"aoVal": "D",
"content": "$120$ "
}
],
[
{
"aoVal": "E",
"content": ... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] | [
"$50\\textbackslash\\% \\cdot x = 30\\textbackslash\\% \\cdot y$ $ x = 0.6\\cdot y$ "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9895 | 8cf97d856b064cf3bcbdaf49c7923a9e | [] | 1 | single_choice | Grandma made some cheese dumplings and some blueberry dumplings. Altogether, she made $$31$$ dumplings. If she had made $$11$$ more cheese dumplings, then there would be the same number of blueberry dumplings as cheese dumplings. How many cheese dumplings did grandma make? ($$2009$$ Math Kangaroo Problem, Levels $$1-2$... | [
[
{
"aoVal": "A",
"content": "$$10$$ "
}
],
[
{
"aoVal": "B",
"content": "$$21$$ "
}
],
[
{
"aoVal": "C",
"content": "$$20$$ "
}
],
[
{
"aoVal": "D",
"content": "$$15$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] | [
"$$(31-11)\\div2=10.$$ "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9908 | 6e4251001d554e579c1a697e7d609cb8 | [
"其它"
] | 2 | single_choice | After the game, Owen is thirsty again. This time he gets a mixture of 3 liters of juice, which contain $25 \textbackslash\%$ of apple juice, $30 \textbackslash\%$ of mango juice, and $45 \textbackslash\%$ of water. $0.5$ liters of mango is added to the original mixture. What is the percent of mango in the new mixture? ... | [
[
{
"aoVal": "A",
"content": "$$2.5$$ "
}
],
[
{
"aoVal": "B",
"content": "$$3.5$$ "
}
],
[
{
"aoVal": "C",
"content": "$$4$$ "
}
],
[
{
"aoVal": "D",
"content": "$$4.5$$ "
}
],
[
{
"aoVal": "E",
"content... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] | [
"Since $30 \\textbackslash\\%$ of the original 30 liters of paint was yellow, and 5 liters of yellow paint were added to make the new mixture, there are $9+5=14$ liters of yellow tint in the new mixture. Since only 5 liters of paint were added to the original 30 , there are a total of 35 liters of paint in the new ... | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9909 | b61ec9e70032413dad6c919c879b03d6 | [] | 1 | single_choice | Grandma made some cheese dumplings and some blueberry dumplings. Altogether, she made $$31$$ dumplings. If she had made $$11$$ more cheese dumplings, then there would be the same number of blueberry dumplings as cheese dumplings. How many cheese dumplings did grandma make? | [
[
{
"aoVal": "A",
"content": "$$10$$ "
}
],
[
{
"aoVal": "B",
"content": "$$21$$ "
}
],
[
{
"aoVal": "C",
"content": "$$20$$ "
}
],
[
{
"aoVal": "D",
"content": "$$15$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] | [
"$$(31-11)\\div2=10.$$ "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9910 | 53a7e1bc034648468a6aef5180bfcf96 | [] | 2 | single_choice | Find the exact number of minutes after $3.00 \text{pm}$ when the minute and hour hands are first at $90^{\circ}$ to each other. | [
[
{
"aoVal": "A",
"content": "$$31 \\frac{2}{11}$$ "
}
],
[
{
"aoVal": "B",
"content": "$$31 \\frac{3}{11}$$ "
}
],
[
{
"aoVal": "C",
"content": "$$32 \\frac{8}{11}$$ "
}
],
[
{
"aoVal": "D",
"content": "$$33 \\frac{3}{11}$$ "
... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"The minute hand rotates $6^{\\circ}$ per minute. The hour hand rotates $\\dfrac{1}{60}\\times30^{\\circ}=\\left (\\dfrac{1}{2}\\right )^{\\circ}$ per mimte. Starting at $3$ O\\textquotesingle clock, the minute hand rotates $\\left (6t\\right )^{\\circ}$ and the hour hand rotates ~$$(90+ \\frac{1}{2}t)^{ \\circ }... | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9912 | c879f628ca2e4b6f88ad0188f9ab2cba | [] | 2 | single_choice | Joann\textquotesingle s birthday in $$2020$$ was May $$10$$\textsuperscript{th}, which was Sunday. Elizabeth\textquotesingle s birthday in $$2020$$ was June $$21$$\textsuperscript{st}. On what day did Elizabeth\textquotesingle s birthday fall? | [
[
{
"aoVal": "A",
"content": "Thursday "
}
],
[
{
"aoVal": "B",
"content": "Saturday "
}
],
[
{
"aoVal": "C",
"content": "Sunday "
}
],
[
{
"aoVal": "D",
"content": "Tuesday "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"It passed $$31-10 + 21 = 42$$ days in total. Since $$42 \\div 7 = 6$$, it was Sunday. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9915 | 580db547002f45b2813e55ceb6b9ceea | [] | 1 | single_choice | Three zebras take part in a contest. The winner is the zebra with the most number of stripes. Runa has $$15$$ stripes, Zara has $$3$$ more than Runa. Runa has $$5$$ fewer stripes than Biba. How many stripes does the winner have? | [
[
{
"aoVal": "A",
"content": "$$16$$ "
}
],
[
{
"aoVal": "B",
"content": "$$18$$ "
}
],
[
{
"aoVal": "C",
"content": "$$20$$ "
}
],
[
{
"aoVal": "D",
"content": "$$21$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"NA "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9921 | 72c7c2107ec34471be1bf78da83c6db5 | [
"其它"
] | 1 | single_choice | Sara is $$5$$ years old and Mike is $$9$$. How old will Sara be when Mike is $$20$$ years old? | [
[
{
"aoVal": "A",
"content": "$$16$$ "
}
],
[
{
"aoVal": "B",
"content": "$$20$$ "
}
],
[
{
"aoVal": "C",
"content": "$$24$$ "
}
],
[
{
"aoVal": "D",
"content": "$$28$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"Their difference in age: $$9-5=4$$ When Mike is $$20$$, Sara is $$20-4=16$$ "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9924 | 77496878dc0846308593ea0cfd47adbc | [] | 1 | single_choice | A $$15\textbackslash\%$$ sugar solution contains $$18$$ grams of pure sugar. How many grams of solution are there? | [
[
{
"aoVal": "A",
"content": "$$90$$ grams "
}
],
[
{
"aoVal": "B",
"content": "$$100$$ grams "
}
],
[
{
"aoVal": "C",
"content": "$$120$$ grams "
}
],
[
{
"aoVal": "D",
"content": "$$150$$ grams "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] | [
"$$18\\div15\\textbackslash\\% = 120$$ ounces. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9925 | 60ecd887e331475d809050b7ff4631c6 | [] | 1 | single_choice | The boundary of a lake is $$600\text{m}$$ long. Trees are planted at regular intervals of $$6\text{m}$$ round the lake. How many trees are planted round the lake? | [
[
{
"aoVal": "A",
"content": "$$99$$ "
}
],
[
{
"aoVal": "B",
"content": "$$100$$ "
}
],
[
{
"aoVal": "C",
"content": "$$101$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths"
] | [
"In the case of circular tracks, number of intervals $$=$$ number of trees, $$600\\div 6=100$$, $$100$$ trees are planted round the lake. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9931 | 7bd46184d3c44fd1aade750fce65bc51 | [] | 1 | single_choice | Given that January $$1$$st, $$2018$$ was Monday, on what day did January $$1$$st, $$2019$$ fall? | [
[
{
"aoVal": "A",
"content": "Tuesday "
}
],
[
{
"aoVal": "B",
"content": "Monday "
}
],
[
{
"aoVal": "C",
"content": "Sunday "
}
],
[
{
"aoVal": "D",
"content": "Wednesday "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] | [
"$2018$ was a common year which had $365$ days. Thus, January $$1$$, $$2019$$ fell on one day after Monday, which was Tuesday. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9943 | 7bde4525ce6247b9ad5f2b7c6cb9e982 | [] | 2 | single_choice | A machine started printing posters at $$9.00 \rm a.m.$$ on Monday at the rate of $$1000$$ posters per hour. After every $$6$$ hours of printing, it was paused for an hour. How many posters were printed by $$\rm 11.00 a.m$$. the next day? | [
[
{
"aoVal": "A",
"content": "$$20000$$ "
}
],
[
{
"aoVal": "B",
"content": "$$22000$$ "
}
],
[
{
"aoVal": "C",
"content": "$$23000$$ "
}
],
[
{
"aoVal": "D",
"content": "$$26000$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] | [
"NA "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9953 | 6e6b097009d74ef699bd185958898c54 | [] | 1 | single_choice | A shop purchased a kind of Lego at ＄$$125$$ each. It then sold them at ＄$$168$$ each. How much did the shopkeeper earn for $$5$$ Legos? | [
[
{
"aoVal": "A",
"content": "＄$$190$$ "
}
],
[
{
"aoVal": "B",
"content": "＄$$200$$ "
}
],
[
{
"aoVal": "C",
"content": "＄$$210$$ "
}
],
[
{
"aoVal": "D",
"content": "＄$$215$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] | [
"$$(168-125)\\times 5 = 215$$. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9955 | 897c85839b794050a371f9166f118d3e | [
"其它"
] | 1 | single_choice | Jenny paid $15$ dollars for $3$ books. How many dollars should she pay in total for the same kind of books if she bought $5$ more of them? | [
[
{
"aoVal": "A",
"content": "$$34$$ "
}
],
[
{
"aoVal": "B",
"content": "$$37$$ "
}
],
[
{
"aoVal": "C",
"content": "$$40$$ "
}
],
[
{
"aoVal": "D",
"content": "$$42$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"$$15=3\\times5$$, so $5$ dollars for each book $$3+5=8$$, $8\\times5=40$ "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9959 | 897fc78144f249618ede1f5d8bfddb4d | [] | 1 | single_choice | There are $3600$ baby chickens on a farm. The number of hens on the farm is $\dfrac{8}{9}$~of the baby chickens, and the number of roosters is $\dfrac{1}{16}$~of the number of hens. How many roosters are there on the farm? | [
[
{
"aoVal": "A",
"content": "$$180$$ "
}
],
[
{
"aoVal": "B",
"content": "$$200$$ "
}
],
[
{
"aoVal": "C",
"content": "$$100$$ "
}
],
[
{
"aoVal": "D",
"content": "$$225$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] | [
"Hens $=$ baby chickens $\\times\\dfrac{8}{9}$, Roosters $=$ hens $\\times\\dfrac{1}{16}$, We can write the formula as:~$3600\\times\\dfrac{8}{9}\\times\\dfrac{1}{16}=3200\\times\\dfrac{1}{16}=200$. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9963 | 84f2f84befde404caf11b4aaa0ddabe7 | [] | 1 | single_choice | Students in the third grade lined up and formed a square array to perform a dance. Each side of the outermost layer had $37$ students. How many students in total are there on the outermost layer? | [
[
{
"aoVal": "A",
"content": "$$148$$ "
}
],
[
{
"aoVal": "B",
"content": "$$152$$ "
}
],
[
{
"aoVal": "C",
"content": "$$144$$ "
}
],
[
{
"aoVal": "D",
"content": "$$140$$ "
}
],
[
{
"aoVal": "E",
"conte... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] | [
"$$36\\times 4=144$$, or $$37\\times 4-4=144$$ students. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9969 | bf64530309704216896dbed66d9858d9 | [] | 1 | single_choice | The mushrooms picked by $2$ white rabbits in $3$ days will be eaten by $3$ gray rabbits in $4$ days. In how many days will $15$ gray rabbits eat up mushrooms picked by $5$ white rabbits in $6$ days? | [
[
{
"aoVal": "A",
"content": "$$1$$ "
}
],
[
{
"aoVal": "B",
"content": "$$2$$ "
}
],
[
{
"aoVal": "C",
"content": "$$3$$ "
}
],
[
{
"aoVal": "D",
"content": "$$4$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"The mushrooms picked by $2$ white rabbits in $3$ days will be eaten by $3$ gray rabbits in $4$ days, so the mushrooms picked by $1$ white rabbits in $1$ days will be eaten by $1$ gray rabbits in $2$ days. Thus, the mushrooms picked by $5$ white rabbits in $6$ days will be eaten by $15$ gray rabbits in $4$ days. "... | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9976 | d655a8343e6f422cbc0220bf9f7d79b6 | [] | 1 | single_choice | Jimmy\textquotesingle s father brought Jimmy three pet dogs, and Jimmy could only keep one. How many dogs did Jimmy\textquotesingle s father want to take away?~(adapted from $$2011$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$3$$) | [
[
{
"aoVal": "A",
"content": "$$1$$ "
}
],
[
{
"aoVal": "B",
"content": "$$3$$ "
}
],
[
{
"aoVal": "C",
"content": "$$4$$ "
}
],
[
{
"aoVal": "D",
"content": "$$2$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] | [
"$3-1=2$ "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9977 | 9f63be4a5efe46159edd627b01f0d326 | [] | 1 | single_choice | In a garage, the ratio of red cars to black cars is $$8:5$$, and the ratio of black cars to white cars is $$3:4$$. The minimum number of cars in the garage is． | [
[
{
"aoVal": "A",
"content": "$$20$$ "
}
],
[
{
"aoVal": "B",
"content": "$$59$$ "
}
],
[
{
"aoVal": "C",
"content": "$$74$$ "
}
],
[
{
"aoVal": "D",
"content": "$$91$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] | [
"The ratio of red cars to black cars is $$8:5=24:15$$; the ratio of black cars to white cars is $$3:4 = 15:20$$. The minimum number of cars is $$24+15+20 =59$$. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9979 | 9ad6c0f10ebc4e9a84ccb742eabef6a3 | [] | 1 | single_choice | In the Avengers League, there are $25$ superheroes. Six of the superheroes from the galaxy guard left. How many heroes are left?~(adapted from $$2007$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$6$$) | [
[
{
"aoVal": "A",
"content": "$$19$$ "
}
],
[
{
"aoVal": "B",
"content": "$$23$$ "
}
],
[
{
"aoVal": "C",
"content": "$$24$$ "
}
],
[
{
"aoVal": "D",
"content": "$$25$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] | [
"There are $25$ superheroes in total. After subtracting $6$, there are $25-6=19$ left. "
] | A |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9980 | cd24810efd4c4d0189c21eeebebb1e6f | [
"其它"
] | 1 | single_choice | In a verbal test, the average score of $$40$$ students is $$25$$. The lowest score is $$5$$. At most how many student(s) can get $$100$$ points? | [
[
{
"aoVal": "A",
"content": "$$11$$ "
}
],
[
{
"aoVal": "B",
"content": "$$10$$ "
}
],
[
{
"aoVal": "C",
"content": "$$9$$ "
}
],
[
{
"aoVal": "D",
"content": "$$8$$ "
}
],
[
{
"aoVal": "E",
"content": "... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] | [
"Total points: $$40\\times 25=1000$$. To have as many $100$ points as possible, we should consider there are only two groups of students: everyone gets $5$ points in a group and everyone gets $100$ in the other group. $$10\\times 100=1000$$, so there must be less than $10$ people getting $100$ points. If there a... | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9981 | a88ba2f97bdc45a797a44f44f8ea9dc3 | [] | 1 | single_choice | If I write all $$26$$ letters of the English alphabet in alphabetical order $$62$$ times in a row, then the $$806$$th letter I write will be． | [
[
{
"aoVal": "A",
"content": "$$A$$ "
}
],
[
{
"aoVal": "B",
"content": "$$E$$ "
}
],
[
{
"aoVal": "C",
"content": "$$V$$ "
}
],
[
{
"aoVal": "D",
"content": "$$Z$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Basic Permutation"
] | [
"Since $$806\\div 26=31$$, the $$806$$th letter Iwrite will be the last letter of the $$31$$st time I write the full alphabet; it will be a $$Z$$. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9987 | bf6c2542371a4d119fc19129e06abf81 | [] | 1 | single_choice | Amy mixes $$10$$ g of a $$20\textbackslash\%$$ sugar solution and $$40$$ g of a $$25\textbackslash\%$$ sugar solution together. After~\uline{~~~~~~~~~~}~of water evaporates, the percent concentration of solution is $40\textbackslash\%$. | [
[
{
"aoVal": "A",
"content": "$$15$$ g "
}
],
[
{
"aoVal": "B",
"content": "$$18$$ g "
}
],
[
{
"aoVal": "C",
"content": "$$20$$ g "
}
],
[
{
"aoVal": "D",
"content": "$$25$$ g "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Finding and Making Use of Invariants"
] | [
"$$10\\times20\\textbackslash\\%+40\\times 25\\textbackslash\\%=12$$ g. $$(10+40)-12\\div40\\textbackslash\\%=20$$ g. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 9999 | c400d86f14aa4a9c8181428577ff721a | [] | 2 | single_choice | A snail is climbing up from the bottom of a $15$-meter-deep well. It climbs up $3$ meters during the daytime, and slides down $1$ meter every night. How many days will it take to get out of the well? | [
[
{
"aoVal": "A",
"content": "$$5$$ "
}
],
[
{
"aoVal": "B",
"content": "$$6$$ "
}
],
[
{
"aoVal": "C",
"content": "$$7$$ "
}
],
[
{
"aoVal": "D",
"content": "$$8$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] | [
"It climbs up $$3-1=2$$ meters actually everyday. It takes $$12\\div 2 +1=7$$ days in total, and in the last day, it climbs up $3$ meters. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10003 | 6a1b88528ce448a6a5138ec4155f33dd | [] | 1 | single_choice | Annie had twice as many paper clips as Beth, After Beth had used $$15$$ paper clips, Annie had $$4$$ times as many as Beth. How many paper clips did Annie have? | [
[
{
"aoVal": "A",
"content": "$$15$$ "
}
],
[
{
"aoVal": "B",
"content": "$$45$$ "
}
],
[
{
"aoVal": "C",
"content": "$$60$$ "
}
],
[
{
"aoVal": "D",
"content": "$$75$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Questions Involving Varying Multiples"
] | [
"Let the number of Annie\\textquotesingle s and Beth\\textquotesingle s be 2n and n. 2n=4(n-15), so n=30, 2n=30 "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10005 | a89849c4a1c54c18912ad15116faad40 | [] | 1 | single_choice | It takes $$144$$ workers $$60$$ hours to paint a bridge. Working at the same rate, how many hours would $$108$$ workers require to do the job? | [
[
{
"aoVal": "A",
"content": "$$45$$ "
}
],
[
{
"aoVal": "B",
"content": "$$65$$ "
}
],
[
{
"aoVal": "C",
"content": "$$80$$ "
}
],
[
{
"aoVal": "D",
"content": "$$96$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] | [
"It takes $$144$$ workers $$60$$ hours to paint a bridge. That\\textquotesingle s $$144\\times60=8640$$ worker-hours. For $$108$$ workers, the job takes $$8640\\div108=80$$ hours. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10009 | 7c0f14c37b3440c2ae86289e840dd6cc | [] | 1 | single_choice | The speed of high-speed train is approximately $$350$$ kilometers per hour, while the walking speed of a person is approximately $$5$$ meters per second. Approximately, how many times is the speed of a high-speed train faster than the walking speed of a person?． | [
[
{
"aoVal": "A",
"content": "$$2 $$ "
}
],
[
{
"aoVal": "B",
"content": "$$20 $$ "
}
],
[
{
"aoVal": "C",
"content": "$$70 $$ "
}
],
[
{
"aoVal": "D",
"content": "$$200 $$ "
}
],
[
{
"aoVal": "E",
"conte... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Basic Computation of the Multiples"
] | [
"The speed of high-speed train is approximately $$350$$ kilometers per hour, which is approximately $$100$$ meters per second. So its speed is roughly $$20$$ times faster than $$5$$ meters per second. "
] | B |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10013 | 6a2a68c0f88e412384f6601d339eee68 | [] | 1 | single_choice | A gift store buys some gifts at＄$$125$$ each. It wants to earn＄$$25 $$ for each gift after a discount of $$25 \textbackslash\% $$. What is the selling price before the discount for each shirt? | [
[
{
"aoVal": "A",
"content": "$$160$$ dollars "
}
],
[
{
"aoVal": "B",
"content": "$$180$$ dollars "
}
],
[
{
"aoVal": "C",
"content": "$$190$$ dollars "
}
],
[
{
"aoVal": "D",
"content": "$$200$$ dollars "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] | [
"$$\\left( 125+25 \\right)\\div \\left( 1-25 \\textbackslash\\% \\right)=200$$ dollars. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10015 | a89f33cfe35c4fcd87680f2fc907aefd | [] | 1 | single_choice | Two motor-cyclists John and Kevin were $800 \text{km}$ apart and travelling towards each other at a constant speed. They started at the same time, meeting after $8$ hours. If Kevin started $1\dfrac{1}{2}$ hours later than John, they would be $70 \text{km}$ apart $8$ hours after John started. At what speed was John trav... | [
[
{
"aoVal": "A",
"content": "$$50$$ "
}
],
[
{
"aoVal": "B",
"content": "$$51 \\frac{2}{3}$$ "
}
],
[
{
"aoVal": "C",
"content": "$$52 \\frac{1}{2}$$ "
}
],
[
{
"aoVal": "D",
"content": "$$53 \\frac{1}{3}$$ "
}
],
[
... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] | [
"NA "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10018 | c8a2e0d48226452f957ff7e8057a9e99 | [
"其它"
] | 1 | single_choice | \textbf{Daniel is learning that five pennies spread out on his desk are the same number of coins as five pennies in a pile. According to Piaget, how old is Daniel likely to be?} | [
[
{
"aoVal": "A",
"content": "1~\\textbf{year} "
}
],
[
{
"aoVal": "B",
"content": "2~\\textbf{years} "
}
],
[
{
"aoVal": "C",
"content": "\\textbf{4 years} "
}
],
[
{
"aoVal": "D",
"content": "\\textbf{8 years} "
}
],
[... | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] | [
"\\textbf{Daniel is learning conservation of number, a skill that Piaget believed children learn in the concrete operational stage} "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10021 | 9f7ed8f805f5458cbfd97d2cc11e1951 | [] | 1 | single_choice | Amy mixes $$30$$ g of a $$30\textbackslash\%$$ salt solution and $$20$$ g of a $$20\textbackslash\%$$ salt solution together. How many g of water should she add to the mixture to make it a $$10\textbackslash\% $$ solution? | [
[
{
"aoVal": "A",
"content": "$$70$$ "
}
],
[
{
"aoVal": "B",
"content": "$$72$$ "
}
],
[
{
"aoVal": "C",
"content": "$$75$$ "
}
],
[
{
"aoVal": "D",
"content": "$$80$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Finding and Making Use of Invariants"
] | [
"$$30\\times30\\textbackslash\\%+20\\times 20\\textbackslash\\%=9+4=13$$ g. $$13\\div10\\textbackslash\\%-(30+20)=80$$ g. ~~ "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10022 | 8d4d0a0478824030b852ea703dfd2924 | [] | 1 | single_choice | Arrange $$28$$ balls to form a square. One ball is placed at each corner of the square. How many balls are there on each side of the square?~\uline{~~~~~~~~~~}~ | [
[
{
"aoVal": "A",
"content": "$$5$$ "
}
],
[
{
"aoVal": "B",
"content": "$$6$$ "
}
],
[
{
"aoVal": "C",
"content": "$$7$$ "
}
],
[
{
"aoVal": "D",
"content": "$$8$$ "
}
],
[
{
"aoVal": "E",
"content": "$$... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Hallow Squares"
] | [
"Put $$1$$ ball in each corner ($$4$$ balls in total). Remaining balls: $$28-4=24$$ $$24\\div4=6$$ So, each side has $$1$$ ball at each corner and $$6$$ balls in the middle, giving a total of $$8$$ balls. "
] | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10023 | c40b07fc65b749179efa63c624a2d9e5 | [
"其它"
] | 1 | single_choice | The average pocket money of the whole class is $91$ dollars. Each of the $24$ girls in the class has $92.5$ dollars on average. There are $18$ boys in the class, and their average pocket money is~\uline{~~~~~~~~~~}~dollars. | [
[
{
"aoVal": "A",
"content": "$$36$$ "
}
],
[
{
"aoVal": "B",
"content": "$$28$$ "
}
],
[
{
"aoVal": "C",
"content": "$$69$$ "
}
],
[
{
"aoVal": "D",
"content": "$$85$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] | [
"More than average: $$(92.5-91)\\times24=36$$. Each boy should have $$36\\div18=2$$ dollars less than the average, so each of them has $91-2=89$ dollars. "
] | E |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10027 | 851eb31f3d104485b20dbc5a10502c5d | [] | 1 | single_choice | $$\frac{3}{7}$$ of the passengers on the bus were adults and the rest were children. There were $$24$$ children. How many adults were there? | [
[
{
"aoVal": "A",
"content": "$$42$$ "
}
],
[
{
"aoVal": "B",
"content": "$$30$$ "
}
],
[
{
"aoVal": "C",
"content": "$$18$$ "
}
],
[
{
"aoVal": "D",
"content": "$$15$$ "
}
],
[
{
"aoVal": "E",
"content":... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] | [
"$$1- \\frac{3}{7}= \\frac{4}{7}$$ $24\\div \\frac47=42$ $42-24=18$. "
] | C |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10035 | 89ac077f05174987be450c352e0bd9cb | [] | 1 | single_choice | When Teddy was $$5$$ years old, his father\textquotesingle s age was $$7$$ times his age. When his father is $$42$$ years old, how old will Teddy be? | [
[
{
"aoVal": "A",
"content": "$$6$$ "
}
],
[
{
"aoVal": "B",
"content": "$$9$$ "
}
],
[
{
"aoVal": "C",
"content": "$$11$$ "
}
],
[
{
"aoVal": "D",
"content": "$$12$$ "
}
]
] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] | [
"$$7\\times5=35$$, His father was $$35$$ years old when Teddy was $$5$$ years old. Age difference $=35-5=30$ $42-30=12$ years old $\\textasciitilde$ or $\\textasciitilde$ $$7\\times5=35$$, His father was $$35$$ years old when Teddy was $$5$$ years old. $$42-35=7$$ years later $$5+7=12$$ years old $\\text... | D |
prime_math_competition_en_single_choice_8K_dev | 2023-07-07T00:00:00 | 10036 | e8cf9d14f8394c439980ea0e7bc51cbb | [] | 1 | single_choice | The average height of all the teachers in Grape School is $168$. There are $5$ male teachers in Grape School with an average height of $180$. The average height of female teachers is $162$. How many female teachers are there? | [
[
{
"aoVal": "A",
"content": "$$5$$ "
}
],
[
{
"aoVal": "B",
"content": "$$9$$ "
}
],
[
{
"aoVal": "C",
"content": "$$10$$ "
}
],
[
{
"aoVal": "D",
"content": "$$18$$ "
}
],
[
{
"aoVal": "E",
"content": "... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] | [
"Total height less than the average: $(180-168)\\times5=60$. Thus, there are $60\\div(168-162)=10$ female teachers. "
] | C |
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