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timestamp[s] | queId
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stringclasses 5
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stringlengths 6
2.89k
| knowledge_point_routes
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 590b2a37fdc343dfa343951f96523662 | 1 | short_answer | The train from Peterborough to Edinburgh takes $$3$$ hours and $$50$$ minutes. Last Thursday, Meera arrived in Edinburgh at $$11.15\text{am}$$, and her train ran exactly on time. At what time did her train leave Peterborough station? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | b9cafccb9f7942af839da92a0784cef0 | 1 | short_answer | Find the ones digit in $${{32}^{33}}-{{22}^{29}}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders ",
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"
] |
2023-07-07T00:00:00 | 31ea77f39d7d403bbbe15a0f51d288e2 | 2 | short_answer | Students and teachers from Think Primary 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 students, and the adjacent inner layer is full of teachers, then students, then teachers and so on until the innermost layer is reached. If there are $52$ more students than teachers in total, find the total number of people in the array. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | def24a48cf8144e2845215066bcd4239 | 2 | short_answer | Let $A$ and $B$ be positive whole numbers. $A$ is a $2$-digit number and $B$ is a $4$-digit number. If $A+B$ and $A^{2}+B^{2}$ are both multiples of $7$, find the largest possible value of $B-A$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | ce29edf6f9f549f8b1c3ce33cbd9bf94 | 2 | short_answer | There are $$12$$ players in a volleyball team. However, only $$6$$ players are needed for a volleyball match. How many ways are there to choose 6 players from $$12$$ players? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | 45a3a595ab6f4318985335abde87fad4 | 1 | short_answer | Danny bought $\frac{5}{7}$ as many apples as oranges. After Danny bought $12$ more oranges, he had $\frac{2}{3}$ as many apples as oranges. How many apples did Danny have?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 4c1d54551ef14b4a8f6fff1699ee1017 | 1 | short_answer | Complete the following: $8\times80\times100=8^{2}\times\boxed{ \overset{ }{\overset{ }{ }}}$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | 629056fd8d3d4d1ea0babc83d1b81d2e | 1 | short_answer | The fraction $\dfrac{2014}{37}$ can be written in the form $$54+ \frac{1}{x+ \frac{1}{y+ \frac{1}{z}}}$$, where $$x,y,z$$ are distinct integers. Find the value of $$x+y+z$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | 303eb712b613463aa24269578fcdc93c | 1 | short_answer | There are $$12$$ numbers from $$1$$ to $$12$$ on the clock. Eddie starts counting from one random number and counts clockwise, as $$1$$, $$2$$, $$3$$, $$4$$,~$\cdots\cdots$~He counts to $$30$$ and stops at the $$10$$ o\textquotesingle clock. Which number on the clock does he start counting from? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] |
2023-07-07T00:00:00 | 3c819166640d4aecbdf6943fefaf19ae | 1 | short_answer | $$200+198+196+194+24=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 20b44a4c32af41ef9142b775909cfdb5 | 1 | short_answer | There are two buckets of oil in a mechanic\textquotesingle s shop. The big one weighs $$89$$ kilograms and the small one weighs $$45$$ kilograms. After two buckets each sell the same amount of oil, the big one is left with $12$ times as much as the small one. How many kilograms of oil in each bucket have been sold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 98d19dcddff5420181c5cbae730d43e1 | 1 | short_answer | Avril has 15 apples. Eddie has 3 apples less than Avril. How many apples does Eddie have？ | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | e0433d6820a94cd280f26a0265506784 | 1 | short_answer | The jackpot in a lottery is £$$131 112$$. $$9$$ people hold equal winning tickets. How much does each person receive? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 82d6cd07eb9b4742a9b4276838f20555 | 1 | short_answer | Many animals hibernate every winter. Among them, the snake hibernates for $180$ days. The bear\textquotesingle s hibernation time is $\dfrac{2}{3}$~of the snake\textquotesingle s, and the frog\textquotesingle s hibernation time is $\dfrac{5}{4}$~of the bear\textquotesingle s. How long does the frog hibernate for? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 7b8f27df031046e09fbf9d6b69396f37 | 1 | short_answer | A five-legged alien wanted to purchase some socks and shoes. Shoes were sold in $5$s at $ $78$ and socks sold in pairs at $ $12$. The alien wanted to purchase them for himself and his $5$ brothers. How much did it cost him? $ $$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Calculating Profit from Cost and Price"
] |
2023-07-07T00:00:00 | 23acb98496a1431485725ca44356cb95 | 1 | short_answer | Find the smallest three-digit number which leaves a remainder of $$1$$ when divided by $$5$$ or $$6$$ or $$7$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 6aabcae871ce46f8ad05bfca32697274 | 2 | short_answer | Given that $$\text{a}$$, $$\text{b}$$, $$\text{c}$$ are prime numbers and $$31+\text{a = 26}+\text{b = 20}+\text{c}$$. Find the value of $$\text{a}\times \text{b}\times \text{c}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers"
] |
2023-07-07T00:00:00 | 21ec0c0ec1814ca58f0852a04fb021ce | 1 | short_answer | Celine jogged at an average speed of $5\text{km/h}$ from her home to the nearby park and jogged back at an average speed of $4\text{km/h}$ via the same route. If Celine took a total time of $54\min $, what is the distance between her home and the park? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 992b03b260e0423f8ae1b4a971e95d16 | 2 | short_answer | What is the sum of all the numbers from $1$ to $30$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | d43c72e5a6ae4f8db05bca5a0b40f880 | 1 | short_answer | Joleen baked $$5$$ more pies than Rennie. $$\frac{3}{4}$$ of the number of pies Rennie baked was equal to $$\frac{2}{3}$$ of the number of pies Joleen baked. How many pies did they bake altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 04f441aa03884165973a65e941e979f6 | 1 | short_answer | Mr Humberstone\textquotesingle s maths class has $$26$$ pupils. There are $$8$$ more girls than boys. How many girls are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 5fdb9bf232c24130acb67d6989c9f36f | 1 | short_answer | There are 35 students in a class, and they all like at least one of the two fruits, apples and bananas. The number of students who like apples is three times the number of students who like both, and the number of students who like bananas is five times the number of students who like both. How many students like both? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 5836c32ab92349858d64ea01519ff950 | 1 | short_answer | Lee and Nancy are typing a document. If they work together, they will finish the job in $$10$$ hours. If Nancy types $$20$$ hours in total while Lee stops after $6$ hours, they can also finish the job. How long will it take Nancy to finish the job by herself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 7bb16c6234cc4815b0e5460af5d3bcde | 0 | short_answer | Mata bought $$3.5kg$$ of oranges from the store. She used $$550g$$ to make an orange pie and another $$1050g$$ to make orange juice. How many kilograms of orange did Mata leave? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | cfc90e2bd8784f839af8df92030da2cc | 1 | short_answer | The school wants to buy some computers for students. The price for each computer is~£380, and there are 600 students in the school. How much will the school pay? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 45df453d65d8460098e8bd6f64aa6e8d | 1 | short_answer | If $$a=1$$, $$b=2$$, and $$c=3$$, then $$\overline{abc}=123$$. Given that $$A=\overline{xy}$$ and $$B=\overline{2xy}$$, if $$B$$ is $$25$$ more than six times $$A$$, what is the value of $$A$$? John attempted to answer the question in this way: Since we have that $6\times \overline{xy}+25 = \overline{2xy}$, then $60x+6y+25=200+10x+y$ which implies that $10x+y =45$ and so $\overline{xy} = 45$. Is he right or wrong? If not, solve for the correct answer. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 6c0af911bf3441ceb0aa84e3591c07ce | 1 | short_answer | A carpenter makes $$15$$ wooden chairs on the first day. On the second day, he makes $$3$$ chairs more than the first day. On the third day, he makes $$3$$ chairs more than the second day. If the carpenter follows this pattern of making chairs, find the total number of chairs he can make in $$5$$ days. Ans:~\uline{~~~~~~~~~~}~[4] | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | 5279176e8bb34e36a3a0b92d193ca529 | 1 | short_answer | From $$1$$ to $$415$$, the digit $$2$$ appears~\uline{~~~~~~~~~~}~times. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 82fb8614fc1f452fa0c62237c0880ab5 | 1 | short_answer | What percentage is $15\text{p}$~out of £$3.00$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | c6a998a4a44742708de70bf568712c7e | 2 | short_answer | Compute $$11 111 111 \times 99 999 999$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers"
] |
2023-07-07T00:00:00 | 72920f692e1f4bc5a9ad132468b2ba55 | 1 | short_answer | There are $$15$$ colours of pencils, $$20$$ colours of rulers and $$10$$ colours of pens in the stationery shop. If you can choose any two items (one colour from each item), in how many different ways can you choose them? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Questions Involving Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 967ece94a30248298d61d641cb4adf93 | 0 | short_answer | Convert $\frac{12}{25}$ to a percent. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 3794af6cfad9436889422b80da641626 | 1 | short_answer | Benny has $$4$$ blue marbles, $$3$$ yellow marbles and $$1$$ red one in his pocket. How many marbles must be taken out from his pocket before he gets $$3$$ marbles of the same colour unquestionably? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 5c2114692687459380bfd372aebfde19 | 1 | short_answer | There were between $100$ and $190$ children at a party. At the party all the children were put into groups of $$4$$ to play a game. Three children had to sit out. For another game they were put into groups of $$13$$. One child had to sit out. How many children were at the party? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | c24b40236ebf4569ab4996b428c1ea27 | 1 | short_answer | Allison bought a book for $$$8.15$$, a T-shirt for $$$24.55$$ and a pen for $85$¢. How much did he spend altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 88717234762b4482bb4b328d802d0085 | 0 | short_answer | Find the value of $$98-87+76-65+54-43+32-21+10$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | b712f3023cd74d2a97af516420fec795 | 1 | short_answer | Work out $312 \div 6$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 8033f9bd063140b6985e12301e7828e5 | 1 | short_answer | The sum of Mary and her son\textquotesingle s age is $45$. What is the sum of their ages in $5$ years\textquotesingle{} time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 626a9662882f4dc4a1ba95cb02ab64da | 1 | short_answer | Solve $y-3=-10$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | 67ecb5e143af40a489aca335acd8434a | 1 | short_answer | If I buy $7$ pencil sharpeners costing $14\rm p$ each and pay with £$1$, what change do I receive? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 2d4bb268d17840b4a2af67c13b75b9e7 | 1 | short_answer | Sebastian is $24$ years younger than Garrett. In $10$ years\textquotesingle{} time, Garrett will be thrice as old as Sebastian. How old is Garrett now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Differences and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 28b3283e4adb46b1981d2f77bbce5dc3 | 3 | short_answer | In a school hall, there were $$65$$ fewer boys than girls. After~$\tfrac{2}{5}$~of the boys and~$\tfrac{3}{7}$~of the girls left the hall for recess, there were equal number of boys and girls that remained in the hall. Find the total number of students that remained in the hall in the end. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Equalizing products by Grouping"
] |
2023-07-07T00:00:00 | 34bf57dff6004159b9678570286b3a45 | 1 | short_answer | The sales tax in the town where Sue lives is $$6 \%$$. Sue paid $$ $90$$ in sales tax on a new sofa. What was the price of the sofa? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 2f2d4651795c439599a60c5b9bd40011 | 1 | short_answer | Harry is planning a holiday for $4$ people for $7$ days. Here are the costs for the holiday for each person. Travel~ ~ ~ ~ ~ ~ ~ ~ ~ ~ £$150$ Hotel~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~£$50$ for each day Spending money~ ~£$250$ Work out the total cost of the holiday for $4$ people for $7$ days. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Multiple Variables"
] |
2023-07-07T00:00:00 | 21c0c469254846459707b10aa5368b1e | 1 | short_answer | Lily earns $$1,354$$ dollars in March and $$1,672$$ dollars in April. How much money does Lily earn in two months? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | c28d501a4f3c490c9058face33142635 | 1 | short_answer | Find the $20\text{th}$ term in the sequence: $$2$$, $$5$$, $$8$$, $$11$$$$\cdots $$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | d103fb7881a84891a1e2f0db57a5cdff | 1 | short_answer | How many ways can one arrange $4$ math books, $3$ chemistry books, $2$ physics books, and 1 biology book on a bookshelf so that all the math books are together, all the chemistry books are together, and all the physics books are together? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 2d130e3c0e3945b685446c7cfb272294 | 0 | short_answer | How many ways are there to rearrange the letters in the word \textquotesingle ORANGES\textquotesingle{} if the three vowels (A, E and O) must NOT all be together? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 9ad4425b3ae341e383eaf5a81b5fea27 | 1 | short_answer | A fruiterer had $1400$ fruits. There were $150$ more apples than oranges. There were $50$ more bananas than oranges. How many oranges 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 | 00cb26f4bf1b4dea92d43d8871529e21 | 1 | short_answer | Write as a number : seventy million seventeen thousand and seven. Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"
] |
2023-07-07T00:00:00 | 4e7d8e9e8c70434db387985ffc3ced9d | 1 | short_answer | The height of Mount Everest is about $8850$ metres. What is the height of Mount Everest in kilometres? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a2e75549c690497cad6e854a67bb9ca0 | 1 | short_answer | Eugene, Melvin and David had a total of $260$ stickers. First, Eugene gave Melvin twice as many stickers as Melvin had. Then, Melvin gave David as many stickers as David had. Finally, David gave Eugene as many stickers as Eugene had left. In the end, the ratio of Eugene\textquotesingle s to Melvin\textquotesingle s to David\textquotesingle s stickers was $46:12:7$. How many stickers did Eugene have at first? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | ef906b4f53fd45d79377d690c9653778 | 1 | short_answer | A math problem database has three different categories of problems with $30$, $40$, and $45$ questions in each category. For any test, one problem from each of the three categories is selected. How many ways can the three problems be selected? | [
"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 | b00136397bfb4af8943135704801f794 | 2 | short_answer | Given that $$a$$, $$b$$ and $$c$$ are prime numbers and $$31+a= 26+b = 20+c$$. Find the value of $$a\times b\times c$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers"
] |
2023-07-07T00:00:00 | 89c2e46a330f4c809acc4ee66605274d | 1 | short_answer | How many isosceles triangles with all integers length of sides are possible such that the perimeter of the triangle is $$12$$? (Equilaterals triangles are also isosceles triangles) | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Geometry Modules->Objects with Straight Sides->Geometric Theorem"
] |
2023-07-07T00:00:00 | 7904921931804014a07b69845bab7b59 | 2 | short_answer | There are two piles of matches, $35$ matches in pile A and $24$ matches in pile B. Eddie and Wei\textquotesingle er take turns to take matches from one of the piles. The number of matches they can take is unlimited, but they can\textquotesingle t end their turn without taking a match. Whoever takes the last match wins the game. Who has the winning strategy if Eddie goes first? What is the winning strategy? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 7ba8140ad05947758fcf5701002a8435 | 1 | short_answer | $$525+75=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Vertical Form"
] |
2023-07-07T00:00:00 | 0c03095444bb44a4b57d684dd17a77c7 | 3 | short_answer | There are $6$ people sitting around an eight-seater circular table. How many different orders are there for them to sit? (If we can get the same order after rotating the table, then we regard the two orders as the same one.) | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 9613eedf0f0948dcb5413f496404e450 | 3 | short_answer | There was an equal number of boys and girls in a class at first. Halfway through a lesson, another $$12$$ boys came into the class and $$8$$ girls left the class. In the end, there were twice as many boys as girls in the class. How many students were there in the class at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | bff8b9eeb1c245eb8fd44124619a0ff8 | 0 | short_answer | Find the sum of the whole numbers from $$31$$ to $$41$$: $$31+32+33+ \cdots +40+41$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 912de4f90ddb4216bf505fc2ea36050f | 1 | short_answer | Calculate: $$80-78+76-74+72-70+68-66+64-62+60-58+56=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | df1629274fe246d5b09f00b408d237a3 | 1 | short_answer | At Think Olympics, Jack completes an $$800$$m race. He runs the first $$280$$ m at a speed of $$7$$ m per second, the middle $$400$$ m at a speed of $$5$$ m per second, and in the sprint stage, Jack runs at a speed of $$8$$ m per second. Find the time Jack spends on the entire race (in seconds). | [
"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 | acbee96ed2cb4a61be352fee44d29870 | 1 | short_answer | Multiply $$21$$ by$\dfrac{2}{7}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | fb64702818de4244b242b01464507459 | 1 | short_answer | How many different three-digit numbers can be formed using the numbers $$3$$、$$5$$、$$7$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | 931f7e125e804e0bbab5078c31bf920e | 1 | short_answer | If the sum of two prime numbers is $25$, determine the product of the two numbers. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 097a0efcc6c64ff08677a4704bcd76bb | 1 | short_answer | Avril plans to make an artifact by using ribbons. She finds two ribbons with different length: $15$ $\text{cm}$ and $45$ $\text{cm}$. If she wants to cut both ribbons into short pieces of equal length such that there will be no surplus, what is the largest possible length of each short piece? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 71633ecd388b4b3fb18cf8470f3168fa | 1 | short_answer | Gina finished her homework at $$8:24\text{pm}$$ having started at $$6:52\text{pm}$$. How many~\textbf{minutes}~did she spend on it? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | a223ddccd2724fcfad6b70a5cedd679d | 1 | short_answer | $150-12\times12=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | dcda2529e50e438892b5fe26db544d87 | 1 | short_answer | Multiply $$168$$ by $$91$$. | [
"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 | 74c598a697fa4036ba52acb5c3dae9a8 | 3 | short_answer | Sally had some cupcakes. She had 72 more chocolate cupcakes than vanilla cupcakes. She had 36 lesser blueberry cupcakes than vanilla cupcakes. After selling $\dfrac{1}{6}$~of the chocolate cupcakes, $\dfrac{2}{3}$~of the vanilla cupcakes and $\dfrac{7}{9}$~of the blueberry cupcakes. Sally had 427 cupcakes left altogether. How many chocolate cupcakes did Sally sell? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | c6c18c591cee4de090f23b01cc195845 | 1 | short_answer | There are $$50$$ lamp posts along a stretch of road with lamp posts placed at opposite ends of the road. If each lamp post is $$2\text{m}$$ away from another, how long is the road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 587b3b02dde341268ada10eb1e31a729 | 1 | short_answer | Teacher Crystal distributes $47$ peaches to $6$ students. At least how many peaches can the student with the most peaches get? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 54d68cc151df4bfb9d1b20b9d2fb2aa3 | 1 | short_answer | Add $48 + 84$ | [
"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 | bd901fb2c6284efb98073eaa14689640 | 1 | short_answer | Write down a number half way between $18$ and $52$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | d459013620f445ba980f5db75d210d9b | 1 | short_answer | How many pages are there from page $$15$$ to page $$40$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 47de481b43de4ea9bc2a81e973f8542c | 1 | short_answer | The sum of seven consecutive whole numbers is $140$. What is the smallest of these seven numbers? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 5620dc4830cf4177b81a1d252a13bdf6 | 1 | short_answer | Work out~$\dfrac{2}{9}$ of $36$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 03abc0f287024f5d96ba76d95640a07b | 1 | short_answer | At a party all the children were put into groups of $$4$$ to play a game. Three children had to sit out. For another game they were put into groups of $$7$$. One child had to sit out. For the next game they were put into groups of $$9$$. Three children had to sit out. How many children were at the party at least? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 9a9953295d5740bc87f3c1edd90b8b54 | 1 | short_answer | On holiday last year Phil bought $$10$$ post cards at $$45\text{p}$$ each and $$10$$ second class stamps at $$27\text{p}$$ each. How much change did he get from a £$$10$$ note? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 270c294ed2df4203a13160fdf772f5be | 1 | short_answer | Claire, Chantel, Tony, and Cale are playing poker around a table. If Claire\textquotesingle s seat is fixed, and Claire and Tony do not sit face to face, in how many different ways can they arrange the seats? | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | e22e61e5355d4cf286d0a863eac51562 | 1 | short_answer | To produce $$180$$ tables, Frank needs $$10$$ days. Ryan needs $$15$$ days to do the same job. How many more tables does Frank make than Ryan in $$1$$ day on average? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems"
] |
2023-07-07T00:00:00 | 68c228ef01e64096ae6ea0c0c72ce5ad | 1 | short_answer | Miss Atkinson stayed back in school to do some marking. If she had marked $$4$$ questions in a minute, she would leave the school $$5$$ minutes late. If she had marked $$6$$ questions in a minute, she would leave the school $$5$$ minutes early. How many questions did she mark before she left the school? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] |
2023-07-07T00:00:00 | 77c1430ed23f41599ca28024f5d0c1b6 | 1 | short_answer | The mass of a parcel is $$7.4$$ $$\text{kg}$$ when rounded off to $$1$$ decimal place. What is the smallest possible mass of the parcel? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 6d33b364eee54bfcb1f7cf59f055a829 | 1 | short_answer | There exists five consecutive $$2$$-digit numbers such that: the sum of three of the numbers is divisible by $$37$$; and the sum of another three of the numbers is divisible by $$60$$. What is the largest number among these five $$2$$-digit numbers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders"
] |
2023-07-07T00:00:00 | d3c48a9697fa4a4eb28b56062dbe1df1 | 1 | short_answer | There were $$20$$ questions in a maths quiz. $$5$$ marks were awarded for a correct answer. $$2$$ marks were deducted for a wrong answer. How many questions did Kathy answer correctly if she got $$79$$ marks in the maths quiz? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 3393096c6a844b2dadae6b5e08940ba8 | 1 | short_answer | Form $$7\text{X}$$ raised £$$165$$ for Oxfam by selling cakes for $$75$$ pence each. How many cakes did they sell? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 18cee48b4d67429daae6f6a7b4da9f6c | 1 | short_answer | Felix had $ $1440$. He spent $$\dfrac{3}{7}$$ of it at a restaurant and $$\dfrac{2}{9}$$ of the remainder on his enrichment fees. How much money did he have left? $ $$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 30f8a7925ff34166983d3831a3dd1927 | 0 | short_answer | Amy has $$24$$ candies, Emma has $$10$$ candies. How much candies should Amy give to Emma, then they have the same number of candies? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | b85b80d96c214b3f9767320633e9d1e4 | 0 | short_answer | The price of banana is $x$ dollars per pound and the price of orange is $y$ dollars per pound. How much does it cost to buy $5$ pounds of bananas and $1$ pound of oranges.(write an expression) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 25ecfb7fac334e73b6113226048393ed | 1 | short_answer | A grandfather clock takes $$6$$ seconds to chime thrice at $$3$$ pm. How long does the grandfather clock take to chime $$6$$ times at $$6$$ pm? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 6d6b64c92ea64a01b75ed338a1814766 | 1 | short_answer | $$P$$ can complete a job in $$12$$ days working $$8$$ hours a day. $$Q$$ can complete the same job in $$8$$ days working $$10$$ hours a day. If $$P$$ and $$Q$$ work together, working $$8$$ hours a day, in at least how many whole days can they complete the job? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 08a35d75e3c6466b94f233066ea49537 | 1 | short_answer | What is the difference, in centimetres, between $$3.2$$ metres and $$30$$ centimetres? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | 38f0f6e2b17a49f9901e5abd3924ce28 | 1 | short_answer | Work out: $${{3}^{2}}+{{6}^{2}}+{{9}^{2}}+\cdots +{{30}^{2}}$$. Pip\textquotesingle s answer: $$=3\times ({{1}^{2}}+{{2}^{2}}+{{3}^{2}}+\cdots +{{10}^{2}})$$ $$=3\times 10\times(10+1)\times(2\times 10+1)\div 6$$ $$=1155$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | fd9804acb7e544a69a055503fd3def6a | 0 | short_answer | Work out: $$15\times1.98$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | 73d546a2c1f0431cbfd7415491f84730 | 1 | short_answer | There are $$40$$ pages in an exercise book. How many digits are used in numbering these pages from $1$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 9527ef42da6941e7be57a1270b76ceb3 | 1 | short_answer | Lindsey buys five kilograms of potatoes at $$56$$p per kilogram. How much change does she get from £$$10$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 787da3f18e5e412287bbd42e447a76ef | 1 | short_answer | How many factors does 120 have in total? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | 106593b9b5bb443c9285898752bf5849 | 1 | short_answer | Two whole numbers multiply together to make $180$. What is the smallest possible difference between the two numbers ? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Finding Factors Given the Product"
] |
2023-07-07T00:00:00 | b3c63472965f4875854399b30b013a75 | 0 | short_answer | The ratio of the walking speeds of Luca to Max is $2:3$. Luca takes $10$ more minutes than Max to cover a certain distance. If Luca had walked at double his usual speed, how long would it take him to cover that distance? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | bbfed58ca2f642f482fdc598bc7882b5 | 1 | short_answer | The temperature at midnight on Thursday was~~and~$-8^{\circ}\text{C}$~and at midday on Friday was~$13^{\circ}\text{C}$~. What was the overall temperature change? ~\uline{~~~~~~~~~~}~$^{\circ}\text{C}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
Subsets and Splits