dataset_version
unknown | queId
stringlengths 32
32
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stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
"2023-07-07T00:00:00" | 468e5ab1d23843a688c0d986c25ee3de | 1 | short_answer | Jessica wants to make $$84$$ bracelets in a day. She made $$\frac{2}{7}$$ of the bracelets in the morning and $$\frac{3}{5}$$ of the remainder in the afternoon. How many more bracelets must she make in order to reach her target? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
"2023-07-07T00:00:00" | 82e49ff36eba45e5b80fed7508aed40a | 1 | short_answer | Ellie and Gloria have to interview a total of $$200$$ people. Ellie can interview $$40$$ people every week. If Gloria and Ellie work together, they can finish all the work in $$4$$ weeks. How long will it take to finish interviewing everyone by Gloria herself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
"2023-07-07T00:00:00" | 5756e8ef018e4deca17abc1cfcc3c79a | 1 | short_answer | In the following equation, each letter represents a distinct digit. $$5 \times \overline{ABCDEF}=6 \times \overline{EFABCD}$$ Given that $$B=2$$ and $$D=0$$, find the $$4$$-digit number $$``FACE''$$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
"2023-07-07T00:00:00" | 134e520a63fc4cd4b9d24373d85afc3a | 0 | short_answer | Find~$\dfrac{3}{8}$ of $$48$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->The Meaning of Fractions"
] |
"2023-07-07T00:00:00" | 05453f6e54854903b245e1b9f7315d91 | 1 | short_answer | Eddie mixed together $$15$$ pounds of dogfood $$A$$ that contained $$40 \%$$ rice and $$60$$ pounds of dogfood $$B$$. Find the percent of rice in dogfood $$B$$ if the mixture contains $$28 \%$$ rice. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
"2023-07-07T00:00:00" | 89088a26e0bf4129b3d5aac6042e949e | 2 | short_answer | Four distinct positive whole numbers are arranged in descending order. Given that the sum of the smallest number and the average of the other three numbers is $$39$$, and the sum of the largest number and the average of the other three numbers is $$51$$. What is the largest possible value of the largest number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
"2023-07-07T00:00:00" | 9fbe57cb0ac6418ab2240792282591b7 | 1 | short_answer | Water leaks from a tap at a rate of $$15\text{m}\ell $$ per minute. At this rate, how much water will leak in $$2$$ hours? Give your answer in litres. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method",
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"
] |
"2023-07-07T00:00:00" | f2e50e32110b4bbdac14c61d13824286 | 1 | short_answer | A tree is planted at every $$10$$ metres along a stretch of road. If the stretch of road is $$150\text{m}$$ long and the trees are planted at opposite ends of the road, how many trees are there?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
"2023-07-07T00:00:00" | e7bd4bc8283741eb831b62ff36519ac8 | 1 | short_answer | Barbara and Catherine started walking to a shopping mall at the same time. Barbara walked at $$60$$ metres per minute, Catherine walked at $$45$$ metres per minute. When Barbara reached the shopping mall, Catherine still had $$60$$ metres to go. How far was the shopping mall from their starting point? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
"2023-07-07T00:00:00" | 794649fd064842be800fcd3dd6a2517e | 1 | short_answer | $2$ books and $1$ pen cost $$$12$$. $1$ book and $2$ pens cost $$$9$$. How much does $1$ pen cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Completing an Equation According to Pictures (Two variables)"
] |
"2023-07-07T00:00:00" | e082319eb56d42f888747eb43934b281 | 1 | short_answer | Jennifer received $2$ ten-dollar notes, $5$ five-dollar notes and $4$ twenty-cent coins as change after giving the cashier $$$100$$. How much money did she spend? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
"2023-07-07T00:00:00" | 410b895710664b55b1f42904c7fe0a39 | 1 | short_answer | 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? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
"2023-07-07T00:00:00" | 17d03f9197534de4bc9abd09472af81f | 1 | short_answer | Solve the equation with regard to $x$: $3x+y+21=2\times(0.5y+x)$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
"2023-07-07T00:00:00" | 3ba5f4eac4774daf9c2b513499cd343e | 0 | short_answer | A stall owner takes $$3$$ minutes to fry a plate of fried rice. How many plates of fried rice can he fry in $$18$$ minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
"2023-07-07T00:00:00" | 59eb954ff993443c9285d88a012ec8bb | 1 | short_answer | Nini\textquotesingle s dad is twenty-five years older than Nini this year. After five years, the age of Nini\textquotesingle s dad will be $$8$$ less than two times that of Nini. Find Nini\textquotesingle s age this year. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Differences and Multiples in Age Problems"
] |
"2023-07-07T00:00:00" | e3bed45262264696ba3ef5c430fcbf22 | 1 | short_answer | $$50$$ students stand in a line facing the teacher, and report the number from left to right one by one: $$1$$, $$2$$, $$3$$, .. etc. After reporting, the teacher asks students who reported multiples of $$4$$ turn backwards. Then let the students who reported multiples of $$6$$ turn backwards. How many students are still facing teachers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers"
] |
"2023-07-07T00:00:00" | 58dc414946bf46c0ba652c5866ea789b | 2 | short_answer | Calculate: $471471471471\div157157157157$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
"2023-07-07T00:00:00" | ab914c10068e40aabb127e29805bd56b | 2 | short_answer | There are $$300$$ pears in the fruit store. On the first day, $$\frac{2}{5}$$~of the oranges are sold, and on the second day, $$\frac{7}{9}$$~of the remaining oranges are sold. How many pears are sold on the second day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages"
] |
"2023-07-07T00:00:00" | 6951136ac6a143cc8a66d6e046b9c312 | 1 | short_answer | $\dfrac{2536}{4}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions"
] |
"2023-07-07T00:00:00" | f266887d9734495ab9b3e624af600dc7 | 1 | short_answer | What is $$\frac{3}{4}$$ of $$30 \%$$ of $$120$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
"2023-07-07T00:00:00" | a3540f1e7dc5422e96cb21be5f76dd9b | 1 | short_answer | A teacher is distributing $$29$$ apples to the students in her class. At least one student gets at least $$3$$ apples. How big is the class? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Simple Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
"2023-07-07T00:00:00" | 7dac345168e24b7f9f57312741709d28 | 1 | short_answer | There are $$3$$ boys and $$4$$ girls in a singing club. How many ways are there to pick $$1$$ boy and $$1$$ girl as lead singers? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication"
] |
"2023-07-07T00:00:00" | c49b566d28914d98a6c34de5890ff196 | 1 | short_answer | $$83$$ is a prime number. If Nancy reverses the order of the digits she gets $$38$$ which is not prime. How many two-digit primes \uline{\textbf{do}} give a different prime number when their digits are reversed? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Knowing Prime and Composite Numbers"
] |
"2023-07-07T00:00:00" | 1f597349b6ec4f37bf0ad940a0226974 | 1 | short_answer | 462 + 268 =~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
"2023-07-07T00:00:00" | f3ad4296cd634e83b25be5b77004a4b0 | 1 | short_answer | Calculate: $$36-18\div 2+4\times 6\div 3$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
"2023-07-07T00:00:00" | 8acc0b244fed4d689a5ee6fdff28233e | 1 | short_answer | Find the percent of change from $140$ to $87.5$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
"2023-07-07T00:00:00" | efb9468b904144138bdc171c8b89d9b7 | 3 | short_answer | There were a total of $$140$$ green and blue balls in a bag. After~$\tfrac{2}{5}$~of the blue balls and $$28$$ green balls were removed from the bag, there was an equal number of green and blue balls left in the bag. How many blue balls were there in the bag at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
"2023-07-07T00:00:00" | 603221d8eb7e48509c5ac61d65305758 | 2 | short_answer | A certain alcoholic drinks $$90$$\% of the day and goes to three fixed bars at random. One day, people find that the alcoholic is not at two of the bars. What is the probability of the alcoholic staying in the third bar? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
"2023-07-07T00:00:00" | 2afab9fc169e49b190d537d496fbae66 | 1 | short_answer | Eliot is now twice his cousin\textquotesingle s age. In $$4$$ years\textquotesingle{} time Eliot will be $$16$$. How old will his cousin be then? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Differences and Multiples in Age Problems"
] |
"2023-07-07T00:00:00" | 6d6b160ceaa74bed9f0745675ca7130e | 1 | short_answer | Work out $5183-594$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
"2023-07-07T00:00:00" | 9125492975b445d4b6f48807e27c1382 | 1 | short_answer | Find the number half way between $$387$$ and $$729$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
"2023-07-07T00:00:00" | 61e7999f8b924716a703e69dcd306ee4 | 1 | short_answer | In a pond, $$100$$ fish are randomly caught, marked and released back into the pond. After a period of time, $$100$$ fish are caught again at random and $$16$$ fish are found to be marked. If the number of fish did not increase or decrease between the two catches, then estimate how many fish are in the pond? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
"2023-07-07T00:00:00" | 7ed04e8e16744d3b811bde9f5ab21683 | 1 | short_answer | Nancy and Randy are walking towards each other. For every $$2\text{m}$$ that Nancy walks, Randy walks $$3\text{m}$$. When they meet, Rancy walks $10$ metres more than Nancy. What is the distance between them when they set off? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Solving Travel Word Problems with Proportions",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
"2023-07-07T00:00:00" | 26d6e3f96e9245abb8672de6d4d25383 | 1 | short_answer | Elaine is $6$ years old this year, and Mandy is $35$. Find Mandy\textquotesingle s age when Elaine is $12$ years old. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
"2023-07-07T00:00:00" | 07e354462e5749c7b35205d8675ad8be | 1 | short_answer | Add together $324$ and $132$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
"2023-07-07T00:00:00" | 549c6955bced409fbe3608247d39f37d | 1 | short_answer | Calculate:$$\left( {1\frac{3}{{99}} + 3\frac{3}{{33}} + 9\frac{3}{{11}}} \right) \div \left( {1\frac{1}{{99}} + 3\frac{1}{{33}} + 9\frac{1}{{11}}} \right)$$． | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
"2023-07-07T00:00:00" | 94fa427c30bc41b0bc1c23c2e238e7a4 | 2 | short_answer | Given that $\frac{x}{9900}=0.$$201414141414\cdots$, a repeating decimal where \textquotesingle$14$\textquotesingle{} keeps repeating, find the value of the whole number $x$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
"2023-07-07T00:00:00" | fa1aabed26fd4a0f8865c23013775faa | 1 | short_answer | Ali has $5$ marbles less than the average of Bronson\textquotesingle s and Charlie\textquotesingle s. Bronson has twice as many marbles as Ali. How many marbles does Charlie have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
"2023-07-07T00:00:00" | 8b3e2473ae0743c19785cba9cb052741 | 1 | short_answer | Calculate: (20+18+16+14+12+10) - (19+17+15+13+11+9) | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
"2023-07-07T00:00:00" | 77cc490d98fc4ff0b16ec404452ab1f2 | 1 | short_answer | Alice is twice as old as her sister now. In $$10$$ years\textquotesingle{} time, their total age is $$53$$ years old. How old is Alice now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Sums and Multiples in Age Problems"
] |
"2023-07-07T00:00:00" | 5eb6f108f7f945d3b8e14b92f427c6c4 | 2 | short_answer | For a three-digit even number in which the sum of each digit is 8 and all digits are different, how many different three-digit even numbers can be made? （⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
"2023-07-07T00:00:00" | 9a8ebe1067614f2ba696f9ca243810e9 | 2 | short_answer | A six-digit number has a $2$ in the units column. If I remove the $2$ from the units column and place it at the left hand end of the number, but leave all the other digits unchanged. I get a new number. This new number is one-third of the original number.What is the original number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"
] |
"2023-07-07T00:00:00" | 0e0926913a4c49b6b42a2bff3086a037 | 1 | short_answer | There are a total of 30 students in class 2C. They took two math exams and all students participated. 25 students passed the first exam, while 12 students failed the second exam. There are only 3 students who passed the second exam but failed the first. How many students passed only the first exam? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
"2023-07-07T00:00:00" | 807a797d374546a7ad31ed32cc60158c | 0 | short_answer | I am thinking of a number between $500$ and $1000$. When my number is divided by $5$. it gives remainder $3$. When my number is divided by $8$, it gives remainder $6$. When my number is divided by $9$, it gives remainder $7$. What number am I thinking of? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder"
] |
"2023-07-07T00:00:00" | 5fdcb9eaeeda4228836991b47e7cf8da | 1 | short_answer | Pip, Bud, George and Emily are dividing $$43$$ cereal bars amongst themselves. How many cereal bars will be left at least if they all get the same number of cereal bars? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"
] |
"2023-07-07T00:00:00" | c1b3143db8aa464aab4fa542021b858a | 1 | short_answer | We can make $$6$$ different three$$-$$digit numbers using the digits $$a$$, $$b$$, and $$c$$ without repeating digits. What is the sum of all these three$$-$$digit numbers? (Express the answer in terms of $$a$$, $$b$$, and $$c$$.) | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
"2023-07-07T00:00:00" | 09cfeee5f94b44469b0645a7a6453ce2 | 1 | short_answer | A two-digit number \textquotesingle$$ab$$\textquotesingle{} is multiplied by its reverse \textquotesingle$$ba$$\textquotesingle. The ones (units) and tens digits of the four-digit answer are both $$0$$. What is the value of the smallest such two-digit number \textquotesingle$$ab$$\textquotesingle? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
"2023-07-07T00:00:00" | 93167d80f006455787219151d56379f4 | 1 | short_answer | John is paid ＄$$78$$ for $$6.5\text{h}$$ of work. At this rate, how many hours does he need to work to earn ＄$$300$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
"2023-07-07T00:00:00" | 3ef3e16ae5454ad18e360ceeb9eeef62 | 1 | short_answer | A large sack holds $$20 \%$$ more potatoes than a small sack. If one large sack and one small sack together contain $$77$$ potatoes, how many potatoes does the large sack hold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
"2023-07-07T00:00:00" | 19d5b1dcfa2c4b1bb5d7e097116869d5 | 3 | short_answer | Mrs Lee had a total of $$125$$ oranges and apples. She sold half of the apples and $$35$$ oranges. In the end, she had an equal number of oranges and apples left. Find the number of oranges Mrs Lee had at first. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
"2023-07-07T00:00:00" | f165d10b0a934af9ba1ae1c8293984e6 | 1 | short_answer | Express $$\frac{5}{9}$$ as a decimal. Correct your answer to $$2$$ decimal places. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals",
"Overseas In-curriculum->Knowledge Point->Knowing Numbers->Decimals->Converting Between Fractions and Decimals->Converting Fractions to Decimals"
] |
"2023-07-07T00:00:00" | 3569ba2a31094a19827f25ea3598dbd8 | 1 | short_answer | A number is called a palindrome if it reads the same backwards as forwards. For example, $$13931$$ is a palindrome. What is the difference between the least $$5$$-digit palindrome number and the greatest $$6$$-digit palindrome number? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"
] |
"2023-07-07T00:00:00" | 80120be608194dd2b89d6d3c9721eb31 | 1 | short_answer | $$35$$ students went to Singapore Flyer. One cabin of the Singapore Flyer can only carry $$6$$ students. What is the minimum number of cabins needed so that all the student can go on the Singapore Flyer? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
"2023-07-07T00:00:00" | d77af89b3f1c41dd8496bce0d6d3ec08 | 1 | short_answer | How many digits are there from $$1$$ to $$58$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
"2023-07-07T00:00:00" | 019e5a54ec7f459790a6d32439e83dfb | 2 | short_answer | A number is formed by writing the whole numbers from $$1$$ to $$1200$$ in a connected way, as follows: $$123456\cdots119811991200$$ What is the $$2011^{}\text{th}$$ digit of the above number if we count it from the right? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations"
] |
"2023-07-07T00:00:00" | e0b9281bf0a54571a6295132e8b1f3b8 | 0 | short_answer | Samantha has $$6$$ fewer pencils than Matthew. If Matthew has $$31$$ pencils, how many does Samantha have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
"2023-07-07T00:00:00" | 742b4a19edd64989a9bc0c3e3a6c14e3 | 1 | short_answer | There is a number of coins on a table. One quarter of them are showing heads. If I turn over two more coins to show heads then one third of the coins now show heads. How many coins are on the table? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
"2023-07-07T00:00:00" | 36e64178982945cca898597516b4d750 | 1 | short_answer | Linda is putting her books on the shelf. Among the books in a row, there is one picture book which is her favorite book. There are $6$ books on the right of the picture book. Counting from the left, it is the $14$\textsuperscript{th}~book. How many books are there in this row? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
"2023-07-07T00:00:00" | 697722b344fb494fa3ef4ecb759d5167 | 1 | short_answer | Find the sum of all multiples of $$5$$ that are smaller than or equal to $$50$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
"2023-07-07T00:00:00" | bc3d8ec301fc410598e59a2ceb2b13e3 | 1 | short_answer | A planet, which travelled at $$30 \text{km}$$ per minute, collided with another planet that travelled at $$40 \text{km}$$ per minute. How far apart were the two planets $$5$$ minutes ago? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
"2023-07-07T00:00:00" | d4c00e90a8ef4ae0981bbeedc1858cd9 | 1 | short_answer | There are $140$ cars and motorbikes parked at a multi-storey carpark. Given that the total number of tyres was $490$, find the number of cars parked at the multi-storey car park. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
"2023-07-07T00:00:00" | 913c9cae5532421db2aefcd71661c685 | 1 | short_answer | How many two-digit numbers can be formed by using numbers $$0$$，$$1$$，$$2$$，$$3$$，$$4$$ and $$5$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering->Forming Multi-Digit Numbers"
] |
"2023-07-07T00:00:00" | 5c51cffb043942adb46a09a26bc746ab | 1 | short_answer | For an arithmetic sequence, $$26$$, $$34$$, $$42$$, $$\cdots $$, $$626$$. How many terms are there in this sequence? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
"2023-07-07T00:00:00" | 27cc97e40ad844c982dd1a9f1e766432 | 1 | short_answer | In a January sale, all prices were reduced by $$20 \%$$. Peter paid £$$64$$ for a jacket. What was the price of the jacket before the sale? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Discount Problems"
] |
"2023-07-07T00:00:00" | 031e28e1f3ad4f9f868951764773e37c | 1 | short_answer | A particular fruit drink is made by mixing apple juice and orange juice in the ratio $$4:5$$. How many litres of apple juice is needed to make $$36$$ litres of the fruit drink? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
"2023-07-07T00:00:00" | 5e3921774a0148c58a168a7d4d6a9158 | 2 | short_answer | $$190$$, $$137$$ and $$101$$ divided by a certain number gives a remainder of $a$, $a+4$, and $a+6$ respectively. Find the remainder when $299$ is divided by this number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence"
] |
"2023-07-07T00:00:00" | fa4eb19fd6df49bdb4533fec025fa83a | 1 | short_answer | Calculate: $$125\times(76+12)=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
"2023-07-07T00:00:00" | 730105f481354ec491084be98c91d6f1 | 1 | short_answer | A snail wants to climb out of a $$11$$ metre burrow. It climbs up $$3$$ metres during the day and slides down $$1$$ metre at night. Exactly on which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
"2023-07-07T00:00:00" | 4958c2ee692b42cdaaf22c2892011be2 | 1 | short_answer | Round off $$8.765$$ to the nearest tenth. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
"2023-07-07T00:00:00" | aa07d321ec634d83a0c7f8d255553cff | 1 | short_answer | There are $$960$$ kilograms avocados. If each box can hold $$8$$ kilograms avocados, how many boxes can we hold in total? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Short Division"
] |
"2023-07-07T00:00:00" | b81938b8cf7a46a4b628bfa5a8634ad1 | 1 | short_answer | I think of a number, double it and add on $$12$$ and the result is $$26$$.~~What was the number I thought of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
"2023-07-07T00:00:00" | de030313f1e64b389d5594c99dd4dafe | 0 | short_answer | $0.2\times 5.39$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
"2023-07-07T00:00:00" | abaa56505ee547838c84f84921be0ebb | 1 | short_answer | Find the smallest possible whole number which when divided by $2$ leaves a remainder of $1$ and when divided by $13$ also leaves a remainder of $1$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Theorem of the Number of Factors of a Number->Products of Factors"
] |
"2023-07-07T00:00:00" | 1cecf15afbce45239bf7e71e6a2da145 | 1 | short_answer | Calculate: $$\frac{9}{5}\times 25 \% + \frac{1}{4}\times 2.2-0.25 = $$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
"2023-07-07T00:00:00" | c5ef0c07edfc4211afdaa999ad856197 | 1 | short_answer | There are five classes in a school. Each class has $100$ students. Each student donated $ $5.78$ for a charity event. How much money did all the students donate in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
"2023-07-07T00:00:00" | 9371af16b67240519deb5e635949e1a7 | 2 | short_answer | Let $x$ and $y$ be two different prime numbers that satisfy the equation $x\left (2+y\right )=200+y$, find the largest value of $x+ y$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"
] |
"2023-07-07T00:00:00" | 86cd9b725006412db04f636eca50d89b | 1 | short_answer | How many different six-digit numbers can be formed using the six numbers $$2$$, $$2$$, $$3$$, $$3$$, $$4$$ and $$5$$? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
"2023-07-07T00:00:00" | 33d52a12c5824537a7ab10162e240c2c | 1 | short_answer | Bud spends $2$p which is one-quarter of her money. How much money did Bud start with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
"2023-07-07T00:00:00" | 6ed2905a0c1c4583b578668431fbae3f | 2 | short_answer | Snow White decides to measure the Seven Dwarfs. Doc is $$10\text{cm}$$ taller than Happy, who is $$10\text{cm}$$ taller than Dopey. Dopey, Sneezy, Bashful and Grumpy are all the same height. Sleepy is $$80\text{cm}$$ tall. Doc and Sleepy have the same combined height as Dopey and Sneezy. What is the total height of the seven dwarfs? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Sum and Differences Problems with multiple Variables"
] |
"2023-07-07T00:00:00" | 80c9bf8ad95b4909a6d7ee77ac0d7e51 | 1 | short_answer | $8$ badminton teams were competiting in a round-robin style competition, where each team has to compete against all other $7$ teams once. How many rounds were played in total? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
"2023-07-07T00:00:00" | 590a4f620ce648a89e73074cf3c6acf5 | 1 | short_answer | Given that~$a◊b=a\times3+b-4$, what is the value of~$6◊7$? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)->Addition Tiling Puzzles"
] |
"2023-07-07T00:00:00" | 3d554443b1224a4da2b07f8233870170 | 1 | short_answer | Calculate: $$\left( 5\frac{1}{6}+6\frac{1}{5} \right)\div \left( \frac{1}{6}+\frac{1}{5} \right)$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions"
] |
"2023-07-07T00:00:00" | f39a0d61562749f19a4d1e5e510dac81 | 1 | short_answer | What is $\dfrac{7}{9}$~of $$27$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
"2023-07-07T00:00:00" | c4bf31a44d8d46c9b19634c1115ae2a2 | 1 | short_answer | There are $6$ three-digit numbers which is formed using each of the digits $$3$$, $$5$$ and $$9$$ once only. When all of these $$6$$ three-digit numbers are put in order from smallest to largest, which one is in the fifth position? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
"2023-07-07T00:00:00" | 17bc582ed1bf4564b574312e59268176 | 1 | short_answer | If a construction company can construct a $$1000-$$meter highway in $$5$$ days, how many days does it take to construct a $$2600-$$meter highway? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with Two Variables"
] |
"2023-07-07T00:00:00" | d07b83cca75e406b9cac57296901269a | 1 | short_answer | A car travels $$250$$ miles in $$5$$ hours. At this speed, how far does the car travel in $$3$$ hours? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
"2023-07-07T00:00:00" | d1cf2646f95e48aaab2267eb79ed0eb3 | 1 | short_answer | Trees are planted along each side of a square garden such that an equal number of trees is arranged along each side of the garden. If $60$ trees are planted altogether, how many trees are there along each side of the garden? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths->Planting Trees (circular path)"
] |
"2023-07-07T00:00:00" | f7ab8cb826c649ec85b7b2cea10e2333 | 1 | short_answer | A $$2-$$digit number smaller than $$60$$ has a remainder of $$3$$ when it is divided by $$8$$. It has a remainder of $$6$$ when it is divided by $$7$$. What is this $$2-$$digit number?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
"2023-07-07T00:00:00" | b5428109db6f4a889887b92377a44169 | 1 | short_answer | Without calculating, determine if the sum of $$12+13+14+\cdots +89+90$$ is an odd or even number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"
] |
"2023-07-07T00:00:00" | 5b18261bd85f4736bb866cd18fa2f7c7 | 1 | short_answer | （AMC 2016 Question \#26） Qiang, Rory and Sophia are each wearing a hat with a number on it. Each adds the two numbers on the other two hats, giving totals of 11, 17 and 22. What is the largest number on a hat? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
"2023-07-07T00:00:00" | 0d15dac81380463388b2f48a1e5a4ac4 | 1 | short_answer | Tom wants to plant some trees along a straight road, with each tree $5\textasciitilde m$ apart from the next. Tom starts planting a tree from the beginning of the road, but the end of the road is blocked by a large stone. If he plants $30$ trees in total, how long is the road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting Trees only on One Side (straight line type)"
] |
"2023-07-07T00:00:00" | 29f0c1773b854d5b946e865190eba514 | 0 | short_answer | In the number sentence below, what is the value of $$\triangle$$? $$\triangle \times 6 + 12 = 3 \times 6 + 36$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
"2023-07-07T00:00:00" | 645960391d9a40f287074aea24d065e6 | 1 | short_answer | Calculate: $$1\frac{1}{2}\times 1\frac{1}{3}\times 1\frac{1}{4}\times 1\frac{1}{5}\times 1\frac{1}{6}\times 1\frac{1}{7}\times 1\frac{1}{8}\times 1\frac{1}{9}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
"2023-07-07T00:00:00" | 5ba5f881a3d44e1588df5aa8c2d9b7be | 1 | short_answer | A prime number plus $$6$$ or minus $$6$$, the the resulting number is still a prime number. How many such prime numbers are there within $$20$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
"2023-07-07T00:00:00" | e7597a502cf74421b35bb550a54a362d | 1 | short_answer | Multiply $$54\times7$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
"2023-07-07T00:00:00" | ec3693af136e4822b07b647b190d64ee | 1 | short_answer | Andy drove $70$ miles in $90$ minutes. His average speed during the first $30$ minutes was $x$ miles per hour, and his average speed during the scond $30$ minutes was $(x-20)$ mph. His average speed during the last $30$ minutes was $(x+10)$ miles per hour. What is the value of $x$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
"2023-07-07T00:00:00" | 3bd18c4e21064eeda7d67edd78bf418c | 1 | short_answer | How many digits are in a book that has $$345$$ pages? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
"2023-07-07T00:00:00" | 76403d5e9dca4ff6b2fc3602bef45a7e | 1 | short_answer | A bus can carry a maximum of $25$ people. If a school party of $340$ students and $20$ teachers were going on a trip, how many buses would they need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division"
] |
"2023-07-07T00:00:00" | 7992bad8c26d42e1b736d8fab12944f1 | 0 | short_answer | Denise Ball won the singles competition of a local tennis tournament, for which she got $$\frac{1}{5}$$ of the total prize money. She also won the doubles competition for which she got $$\frac{1}{15}$$ of the total prize money. Denise got £$$360$$ altogether. How much was the total prize money? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
"2023-07-07T00:00:00" | 46bce6274909462595b7cd5d528fd678 | 1 | short_answer | There are seven players (including the coach) in the basketball team. They are lining up to take a picture. If the coach has to stand in the middle of the line, and the captain is next to the coach, in how many different ways can the team line up? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication"
] |