dataset_version
timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringlengths 6
2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 9521e8915fce4c6990100988ef474bdb | 1 | short_answer | Mr Gallop has two stables which each initially housed three ponies. His prize pony, Rein Beau, is worth £250 000. Usually Rein Beau spends his day in the small stable, but when he wandered across into the large stable, Mr Gallop was surprised to find that the average value of the ponies in each stable rose by £10 000. What is the total value of all six ponies? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | dff026a0fb2549369d7be7c6aa7adf6b | 2 | short_answer | In a magic show, after giving James, one of the audience, a calculator, the magician asks James to write his birthday and calculate according to the following steps: $$\left( 1 \right)$$ Multiply the number of the month of his birth by $4$. $$\left( 2 \right)$$ Add $$1$$ to the result. $$\left( 3 \right)$$ Multiply the result by $50$. $$\left( 4 \right)$$ Add the number of the day of his birth to the result twice. $$\left( 5 \right)$$ Subtract $50$ from the result. If James\textquotesingle~result is $1234$, do you know his birthday? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Operational Problem"
] |
2023-07-07T00:00:00 | 20db318a830540dea5738356c974b264 | 1 | short_answer | Amy likes collecting stickers. In her collection, there are $38$ stickers with animals, and $14$ stickers with fruits. Then, she gives $9$ stickers to her sister. How many stickers does she have left? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 5c4cd1d2ec4b44978363bea24ebfa91c | 1 | short_answer | Find the remainder when $2^{2015}$ is divided by $3$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 3baa88503f344e83b1afe7aee1dc88ea | 1 | short_answer | Eight pupils stand in a row to take a photo. Four of them insist on standing together. How many different ways are there to arrange them? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 789c72c81c1f4343a6331f9136346c34 | 1 | short_answer | $64 \times 42$ | [
"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 | 3a2cd4abff9642379247f914750ea56d | 1 | short_answer | A sugar solution is made by mixing $$7$$ ounces of sugar and $$21$$ ounces of water. Find the percent concentration of the mixture. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 8161131c45e24fd3b0153fe5037c7c3d | 1 | short_answer | The sum of three consecutive whole numbers is $60$. What is the largest of the three numbers? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | a78fc203de2e495b9c3e288ffa2f20f2 | 1 | short_answer | During a telematch, $5$ points were awarded for every gold medal won and $4$ points were awarded for every silver medal won. Given that a total of $331$ points were awarded for $80$ medals, find the total number of gold medals won during the telematch. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | ffc0cb9420c84ae1a80072d5874cfa79 | 1 | short_answer | A kilogram of lamb costs $ $8.70$ and a kilogram of beef costs $ $9.40$. Auntie bought $7$ kilograms of lamb and $30$ kilograms of beef. How much did Auntie pay altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f51701360c30428284abf7311cea43d8 | 2 | short_answer | If $$1$$ master and $$3$$ apprentices are working together, they will complete a task in $$4$$ days. If $$2$$ masters and $$1$$ apprentice are working together, they will take $$3$$ days to complete the task. How long will it take to complete the task if $$1$$ apprentice is to work alone on the task? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems"
] |
2023-07-07T00:00:00 | 5bd73885b66a40709b62ae02cee893ef | 1 | short_answer | $176$~ $\div$~ $8$= | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | a37239e1c2af4896b905775df4d04faf | 1 | short_answer | $234 + 578$ | [
"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 | d02d6991f9044e2cac9926170d76efbe | 1 | short_answer | At a basketball match, $$\frac{1}{3}$$ of the spectators were children and $$\frac{5}{8}$$ of the remainder of them were men. If there were $80$ women, how many spectators were at the basketball match altogether?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Understanding the Base"
] |
2023-07-07T00:00:00 | 01d43a1f75294754a6d7791646d4bb6e | 1 | short_answer | Johnson invented a new operation $$★$$. The following are some results he gets： $$5★2 = 8$$ $$2★5 = 5$$ $$6★3 = 15$$ $$8★2 =14$$ What is the value of $$11★10$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 05e806ec585f447fac70a1de0f7fafd7 | 1 | short_answer | There is a row of dolls in a toy store. The elephant doll is at the $$10$$\textsuperscript{th} position counting from left to right. The rabbit doll is at the $$9$$\textsuperscript{th} counting from right to left. There are $$5$$ dolls counting from the rabbit doll to the elephant doll with the elephant to the left of the rabbit. How many dolls in total are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of Two Characters in a Line"
] |
2023-07-07T00:00:00 | 533391b7910c4d72b88782719e955c60 | 2 | short_answer | Calculate: $$0.4\times \left[ \frac{11}{52}\div 2\frac{3}{4}\times \left( 4.3-1.8 \right) \right]\times 26$$． | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 8c65dcb55d104655a4964ef2003670c8 | 2 | short_answer | Students from Think Academy School are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of boys, and the adjacent inner layer is full of girls, then boys, then girls and so on until the innermost layer is reached. If there are $32$ more boys than girls in total, find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | e35edf1fb63a4e5880945617f5b1aa9e | 1 | short_answer | There are $$300$$ roses and daisies in the park now. If the planter plants the same number of roses and daisies every month, there will be $$280$$ roses and $$180$$ daisies in the park in a few months. How many roses are there in the park originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 4e8d72ffdc694d47a6676b0e8d8108c7 | 1 | short_answer | Find the sum of the prime numbers between $$50$$ and $$60$$. | [
"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 | be6d4037b22d46cb906e9ec47cc6b7e7 | 1 | short_answer | A sequence of numbers is formed by always adding the same number to get the next number in the sequence. The $10^{th}$~number in the sequence is $23$ and the $15^{th}$~number is $38$. What is the $102^{}\text{nd}$ number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 16e66be3bead4705bfdef4b05bca2651 | 1 | short_answer | There were $$3358$$ books in a library. $$2047$$ were English books and the rest were Chinese books and comics. The number of Chinese books was twice as many as the number of comics. How many comics were there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | a01cc16fe4b240daacb5d33d3e822ab6 | 0 | short_answer | $8.002+10.421$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | ba03d5e5fb8f453c9e98a6881e4d689b | 1 | short_answer | Mrs Tan mixed coffee and milk in the ratio $$3:8$$ to make a Latte. How many litres of Latte did she make if she used $$6$$ litres of coffee? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 8945cbc7b9b04405ae4a89f7f6240bbe | 1 | short_answer | In a shooting game, you can get 5 scores for shooting the target accurately. However, you get 0 score if you lose the target. Jimmy shoots the target accurately for 6 times and loses the target for 4 times. What is his average shooting score? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 70d30636843c42d0a9438f05f8dc9d7c | 1 | short_answer | How many digit "$$0$$"s are used in the first $$200$$ pages of a book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | d3338ec2774341618a2a54e2dd8271c5 | 1 | short_answer | $$50$$ apples are distributed to $$8$$ children and each of them can get at least $$1$$ apple. The number of apple(s) for each child \uline{is different}. For the kid who gets the most apples, what is the least possible number of apples he can get? | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 9bb2eab82c5d477485d34c73db23335d | 1 | short_answer | Evaluate $$\frac{\dfrac{1}{30}+ \dfrac{1}{6}}{\dfrac{2}{25}}+ \frac{2- \dfrac{2}{3}}{\dfrac{8}{3}}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | 12c9cf652a084a0780859470b77f7abb | 1 | short_answer | How many different ways are there to rewrite $8$ as the sum of two or more non-zero natural numbers? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 25875cdc332046b7b367fa4d85e5897d | 1 | short_answer | Mike bought $$0.6$$ kilograms of beef from Costco for a total of $$11.4$$ dollars. How much did each kilogram of beef cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 8e22c76c78f342539459fe92d4c4cf17 | 1 | short_answer | Boxes of eggs hold $12$ eggs. How many boxes will be needed to hold $158$ eggs? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 25880b2e8da54b31803560072e23ded7 | 1 | short_answer | $$3$$ similar apples and $$5$$ similar oranges have a mass of $$270 \text{g}$$ . $$3$$ such apples and $$7$$ such oranges have a mass of $$342 \text{g}$$ . What is the mass of one orange? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | f1b1106045274f7da63ef3c891f87c34 | 1 | short_answer | A train with a length of $$253$$ m travels at a speed of $$104$$ m/s to pass through a tunnel with a length of $$669$$ m. What is the duration of~\textbf{the entire train being in the tunnel}? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 397ebb0d5b224df59aad1f5b774838fd | 1 | short_answer | There are $$40$$ men at a party. $$18$$ of them wear bow ties while $$23$$ of them wear spectacles. Find the greatest number of men that do not wear bow ties and are not wearing spectacles. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | adb62673a17442e2b006b7f5afbcd666 | 1 | short_answer | Calculate $-7-4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 457957b559d5468b8aeb74e2ef585f75 | 1 | short_answer | What is $50 \%$ of $20 \%$ of £$350$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 96b12e33af8a4a438cc3968e7b3f70d7 | 1 | short_answer | There were $$112$$ marbles in a bag. There were $$25$$ more red marbles than blue marbles. There were $$32$$ more green marbles than red marbles. How many blue marbles were there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | d23d120cfeb64135ab69663205810fbe | 1 | short_answer | What is~$\dfrac{1}{3}$~of $$414$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 7604f69468c6421ebdd1ba850cd8b42d | 1 | short_answer | $$19$$ apples are distributed among $$5$$ children. Each of them can get at least $$1$$ apple, and no two of them get the same number of apples. For the child who gets the most apples, what is the largest possible number of apples he or she can get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Problems Involving Extreme Value"
] |
2023-07-07T00:00:00 | 6bd2a5cd9d044be0ba73d47aa5238bbd | 0 | short_answer | Ali, Bala, Charles, Dan and Ella are standing side by side in a line to take a photo. If Ali and Bala must stand together and Dan must stand at the furthest left, how many different arrangements are there? | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Dotted Line Arrangement"
] |
2023-07-07T00:00:00 | 13ec2dec449b48e5b1f5949021f5319a | 1 | short_answer | $10000$ years ago, Owen the fisher traded $3$ fishes for $2$ rabbit from Oscar the hunter. Then, Oscar traded $3$ rabbits for $4$ packs of wheat from Dennis the farmer. How many fishes should Owen give Dennis for $8$ packs of wheat? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios"
] |
2023-07-07T00:00:00 | bac3e6b470ff4843842320df6d600e95 | 1 | short_answer | The highest common factor of $16$ and $36$ is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | fb1c97df146541bebe3162f2e72c1cc0 | 1 | short_answer | Sharon bought a $$140$$-page book. How many digits have been used for the page numbers in the book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 6b79f6ee87a44493b182c62048b92e66 | 1 | short_answer | Serene was working a mathematic problem involving of subtraction of two 2-digits number. When she is solving the questions, she mistook the tens place in the subtrahend as 5 instead of 3 and ones place as 3 instead of 2. Thurs, she got a difference of 36. What should be the correct difference? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | b3e5cbab90804708bce6148613126f16 | 2 | short_answer | There are $$15$$ red, $$9$$ white and $$6$$ yellow balls in a bag. At least how many balls must be drawn so that there are $$3$$ different coloured balls? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 4f366210af224a9f9f43bbc93ae4f875 | 1 | short_answer | What is the sum of the following numbers? $$2+5+8+11+14+17+20+23+26+29+32+35=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 9b13d74bafa4466eb645ffa554df735b | 1 | short_answer | Class A to D has $32$, $28$, $23$, and $17$ students respectively. What is the average number of students in each class? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | 9939fb896f824a2881087102f27ab8c3 | 0 | short_answer | A rope is $$11.7m$$ long. Jake used $$3.2m$$ to fix the fences and another $$6.5m$$ to stabilize a pile of woods.How many meters of the rope were left？ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | bb27ebca96a14753b3a39b73a2462099 | 1 | short_answer | How many different three-digit numbers can be formed using the numbers $$2$$, $$7$$, $$8$$?（without using the same number two times like $$22$$） | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | ee5084c8c8d24c4bbeb5d061801cc169 | 2 | short_answer | Ellen and Lenny have some sweets. If Ellen gives away $12$ sweets, the number of sweets Ellen has is $\frac{13}{24}$ of the total number of sweets that both have. If Lenny gives away $12$ sweets, the number of sweets Lenny has is $\frac{3}{8}$ of the total number of sweets that both have. How many sweets do they have altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | eadf933fa489425a8e7934fbc30dfdf8 | 1 | short_answer | A doctor has an annual income of＄$$120000$$. The income tax is $$6 \%$$ of the first ＄$$50000$$ and any amount above＄$$50000$$ is taxed at a rate of $$\left( 6+T \right) \%$$. The doctor noticed that the income tax he paid was＄$$10000$$. Find $$T$$. (Adapted from $$2001$$ AMC $$12$$ Problem, Question \#$$3$$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Tax Problems"
] |
2023-07-07T00:00:00 | 1482dca47e9c40c88fa457ae47419d81 | 2 | short_answer | All of the digits from 0 to 9 are used to form two 5-digit numbers. What is the smallest possible difference between these two numbers? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Obtaining Maximum/Minimum Values "
] |
2023-07-07T00:00:00 | 60b84c6fa7f240ffafb43217e82d66db | 1 | short_answer | On Christmas Eve, Amy buys $$7$$ different presents and wants to give them to her $$5$$ children. Her son Richard wants the toy car or the puzzle. Another son, Kevin, wants the toy car or the calculator. If each child gets only one present, in how many ways can Amy give away her $$7$$ presents? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Questions Involving Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 05e460cdfe874f2fbb3c0d1f81ffbec5 | 1 | short_answer | A train with a length of $$200$$ m travels at a speed of $$10$$ m/s to pass through a tunnel with a length of $$500$$ m. What is the duration of the entire train being in the tunnel? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 97138baaf4754087a327cc1e83d8fd4f | 1 | short_answer | Buzz is three times as heavy as Jessie. If Buzz is $450{\rm{g}}$ heavier than Jessie, what is the weight of Buzz in grams? | [
"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"
] |
2023-07-07T00:00:00 | 764c50d4619f44199a22a6b9f383ed24 | 1 | short_answer | When Grandpa and Mary got to the shops, they found that new potatoes cost $49$p per pound. If they bought $2$ pounds, how much change would they have from~£1? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 14c07a0f9d734b5088fba3845ed8db4d | 1 | short_answer | We know $n, n + 4, n + 6, n + 132$ and $n + 250$ are prime numbers. What does the number $n$ represent? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | f018488d15f94b99915f6422728512b7 | 0 | short_answer | $374\times36$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication in Vertical Form"
] |
2023-07-07T00:00:00 | c9a79ce675034b2489e740af3c031037 | 1 | short_answer | Three pet rabbits cost £$$19.70$$. The second rabbit costs £$$2$$ more than the first. The third rabbit costs $$80\text{p}$$ less than the second. What is the cost of the first rabbit? | [
"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 | 1695f1a256a845c4b26912c5783eb123 | 1 | short_answer | Kenny made $$200\text{g}$$ of sugar solution with a concentration of $$15 \%$$ by mixing some sugar and water. How much sugar did he use (in grams)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 56bd9145d93e48f49139ec624dac2068 | 1 | short_answer | Jack and Rose depart from Town $$A$$ and Town $$B$$ at the same time respectively, traveling in the same direction. Jack travels at $$15$$ km per hour, and Rose travels at $$10$$ km per hour. They meet each other in $$10$$ hours. What is the distance between Town $A$ and Town $B$? | [
"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 | 23a1e04ca6614f4d99436ccdd578cd9c | 1 | short_answer | Find the value of the following expression． $${{2020}^{2}}-2018^{2}+{{2016}^{2}}-{{2014}^{2}}+\cdots +{{4}^{2}}-{{2}^{2}}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 2e878688541b46f5b7d0726609b2d7ef | 0 | short_answer | $$42.3+10.5+2.7-4.5$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 44ecc4dcdaa54831860666d510b464ce | 1 | short_answer | Solve the following equations: $$4.6x-35 \%=0.57$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 6bf760b6b8a740cda324d6bb831f42b3 | 1 | short_answer | Among the natural numbers from $1$ to $5000$, how many numbers are multiples of $7$ or $13$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | b4fbda1fc3454970a479018d78ecff7c | 1 | short_answer | What is the smallest number that must be added to $48739$ to make it divisible by $3$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | a65121c2cf9a4a3f88d13765512d893a | 1 | short_answer | How many ways are there to rearrange the letters in the word \textquotesingle SUCCESS\textquotesingle{} if no two S's are next to each other? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 54c307c65d4942e3a14a0c97e9c6453b | 2 | short_answer | There were $$467$$ pupils in a school. $$333$$ of them were girls. There were $$36$$ teachers in the school. How many more boys than teacher were there in the school? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 70c643f015a64e749fe17245d8f47ced | 1 | short_answer | David and Emma are working as a pair to complete a Math Journal. Working alone, David and Emma each needs $$10$$ days and $$18$$ days respectively to complete the journal. In fact, David started to work alone for some days and then handed the work over to Emma. The journal was completed in $$14$$ days altogether. How many days did Emma work on the journal? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | c40a0a6c89c3412b86d23bb5ec098bae | 1 | short_answer | Josephine had just enough money to buy $$145$$ similar T-shirts. She bought $$138$$ such T-shirts and had ＄$$56$$ left. How much money did Josephine have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | 7a791003812544b6bac377d65f16cb90 | 2 | short_answer | Calculate: $$\frac{1^{3}+2^{3}+3^{3}+\cdots+100^{3}}{1+2+3+\cdots+100}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²"
] |
2023-07-07T00:00:00 | d2e88cea338f4ce69692532138d94fcb | 1 | short_answer | The average of $$14$$ consecutive even number is $$119$$. What is the smallest number among the $$14$$ numbers? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | d5259f3a5c6e4402838e70389234367f | 1 | short_answer | If $1a2a3a4a5a$ is divisible by $11$, what is the value of $a$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 75a7726543e04bea836b118cb451097f | 1 | short_answer | The height of the tallest student in Class $$\text{3C}$$ is $$132\text{cm}$$. The height of the shortest student is$$124\text{cm}$$. How big is the class size if at least $$4$$ students are of the same height? Assume heights to be in whole numbers. | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 51ad861e00ec431192e04a5eb59b3380 | 1 | short_answer | David has a job that pays £$6.50$ per hour. He is of fered a job by a different company that pays $12 \%$ more and he decides to accept the new job. What will his new pay be? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | f1d598e9e6754a5fb544e02dd210fd8f | 0 | short_answer | Rachel needs $$12$$ minutes to cut a piece of wood into $$5$$ sections. If her cutting speed remains the same, she needs~\uline{~~~~~~~~~~}~minutes to cut the piece of wood $$5$$ times. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | cba5a4b77fcc4b47a485159e97c6c596 | 1 | short_answer | In a money bag there are an equal number of $$2$$p, $$5$$p and no other coins. How many coins are in the bag if altogether there is £$$1.26$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Basic Type->Non-typical Types"
] |
2023-07-07T00:00:00 | 473dae367faa457db6245d50b030a2d2 | 1 | short_answer | What is the ones digit of the value of $$3^{2009}$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | acc5ff5f2838429d9de00e4ee08fb1fa | 1 | short_answer | $$\frac{2}{5}$$ of the people at a party are adults. $$\frac{5}{9}$$ of the remaining people are boys and the rest are girls. There are $$36$$ girls at the party. How many people are there at the party? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 074c52d7c8884541a53bd81c8516e4ae | 1 | short_answer | Write down the smallest number which is not only an even number but also a multiple of $$5$$ and a square number. Answer :~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers",
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | 76292cab066c4804960c0eb334442333 | 1 | short_answer | Children are offered a $25 \%$ discount on the cost of an adult ticket to visit Hamshaw House. Senior citizens are given a $20 \%$ discount. If a child's ticket costs £$30$, how much does a senior citizen pay? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base",
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | f3b9f2f5f0a543b39b7bca6031d203f9 | 3 | short_answer | How many different ways are there to divide $20$ books to $4$ kids? (Someone might not get any book.) | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 35fcb930a0bc41a894f13b4d2d264e48 | 1 | short_answer | If $3$ men take $30$ days to build a house, how long would it take $2$ people, if they all work at the same rate? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems->Work Word Problems with Specific Quantities"
] |
2023-07-07T00:00:00 | ceda71c2bab34d10981c8cc631f857e6 | 1 | short_answer | What is the smallest two-digit number that is divisible by both $3$ and $7$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | b7384c3ef6ce4e10accddb590b454709 | 2 | short_answer | Will is asked how old he is now. In reply, he answers~"In $$8$$ years\textquotesingle~time I will be $$4$$ times as old as I was $$4$$ years ago." How old is Will now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Difference of Ages"
] |
2023-07-07T00:00:00 | 203d878b270d4d88a12ed23389c40a46 | 1 | short_answer | Calculate: $$1+3+5+7+9+\cdots +93+95+97$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | ac50d3117292453c911bc6e43ec859a8 | 1 | short_answer | In one day, there are $$3$$ trains, $$4$$ cars, and $$2$$ boats going from $$A$$ to $$B$$. How many different ways can you go from $$A$$ to $$B$$ in one day? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition"
] |
2023-07-07T00:00:00 | f15729b8c3bf42758bf674b97e695b4a | 1 | short_answer | Mike\textquotesingle s copy of \emph{LeoTolstoy\textquotesingle s War} \emph{and Peace} is $$981$$ pages long. Mike decides to read $$25$$ pages a day. He finishes the book in how many days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division"
] |
2023-07-07T00:00:00 | e8ac97a4703d48e3a8d90b8986df72d1 | 3 | short_answer | How many different ways are there to divide $30$ books to $5$ kids, to make sure each of them gets at least two books? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | a6292732361347fa8c864895f6e10ae3 | 1 | short_answer | Work out $6846\times 8$ | [
"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 | 7988af13cd9a4c19b46db9fc0c0bb229 | 1 | short_answer | Mike, Mason and Chewy shared a delicious pot of mushroom soup without any soup leftover. Mason\textquotesingle s portion was $\frac{2}{3}$ that of Chewy\textquotesingle s, while Chewy\textquotesingle s portion was $40 \%$ that of Mike\textquotesingle s. If Mason\textquotesingle s portion was $550\text{ml}$ less than Mike\textquotesingle s, find the total amount of soup the three of them drank (in litres). | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 06e06b65731b4ae182bc34f8bdf78ad2 | 1 | short_answer | You deposit $1,000$ dollars in an account that pays $6 \%$ interest compounded yearly. Find the balance after $2$ years. ($1.06^{2} \approx 1.1236$ and $0.94^{2}\approx0.8836$) | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 65c188bedd614322a61cdc7a8fd0c01b | 1 | short_answer | In $7$W there are $28$ girls. $20$ like One Direction. $17$ like The Vamps. $15$ like both One Direction and The Vamps. How many girls like neither One Direction nor The Vamps? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 1bee107571854f2d87bb88f1fc9b38c1 | 2 | short_answer | We insert $+$, $-$, $\times$ and $\div$ each exactly once into the following four boxes, $\left (\dfrac{1}{2}\square \dfrac{1}{9}\right )$, $\left (\dfrac{1}{3}\square \dfrac{1}{8}\right )$, $\left (\dfrac{1}{4}\square \dfrac{1}{7}\right )$, $\left (\dfrac{1}{5}\square \dfrac{1}{6}\right )$ so that the sum of these four terms is the largest. In this case, if the second largest among these four terms is written as $\dfrac{A}{B}$ in its simplest form, find $A+B$. | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems"
] |
2023-07-07T00:00:00 | d634317608b54dbcb954484f4a8c548c | 1 | short_answer | A road, $$500$$ $$\text{m}$$ long, is to be planted with trees at an interval of $$5$$ $$\text{m}$$. How many trees can be planted if there are trees planted at both ends of the road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 2b895d9f585d4c72b559deecf56f1079 | 1 | short_answer | $$4$$ identical jugs and $$5$$ identical cups cost ＄$$85$$. $$2$$ identical jugs and $$2$$ identical cups cost ＄$$40$$. What is the cost of a cup? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | f3ea48411a6c498184b21b3604aa2db8 | 1 | short_answer | Susan\textquotesingle s bus fare is exactly $$44\text{p}$$, If the driver can give her change, what is the smallest number of coins that can change hands when Susan pays to get on the bus? (Explain clearly) Answer~\uline{~~~~~~~~~~}~ | [
"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 | 7c988a58a14c48c19fd7ebda71673015 | 1 | short_answer | There are $27$ classrooms at Withington with $28$ chairs in each. How many chairs are there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | ce2a11f3530044e69f0f940d2177c842 | 1 | short_answer | A soccer player computes his win ratio by dividing the number of matches he has won by the total number of matches he has played. At the start of a weekend, his win ratio is exactly~$.500$. During the weekend, he plays five games, winning three and losing two. At the end of the weekend, his win ratio is greater than~$.505$. What\textquotesingle s the largest number of matches he could\textquotesingle ve won before the weekend began? Assume she won~$x$~games before the weekend, we obtain the inequality~$\frac{x+3}{2x+5}\gt0.505$~. Solve the inequality, we get~$x\lt47.5$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 240bc3106e614b409ed75b112d8a5572 | 1 | short_answer | Calculate： $$88-87+86-85+84-83+\cdots +4-3+2-1=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
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