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timestamp[s] | queId
stringlengths 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 | e099576e4e594256ae673a9a633c5f85 | 1 | short_answer | Given whole numbers $$A$$ and $$B$$, the operator $$*$$ is defined as $$A*B=(A\times B)+(A+B)$$. For example, $$5*2=(5\times2)+(5+2)=10+7=17$$. Find the value of $$a$$ if $$a*a=399$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Unknowns Using the Given Operations"
] |
2023-07-07T00:00:00 | f5c4e7bc746541e9b6316434d0ceb4b9 | 1 | short_answer | Ben is $$20\text{cm}$$ shorter than his sister Sally. Ben is $$110\text{cm}$$ tall. How tall is Sally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | 7a70eb04e5694b2f959619353709df11 | 1 | short_answer | At the school fair, $$\dfrac{3}{5}$$ of the visitors were children. $$\dfrac{1}{2}$$ of the remaining visitors were men. There were $$140$$ more children than men. How many visitors were there at the fair? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | a59a1a5e7bb041eeba8b3ee3076a0168 | 2 | short_answer | Justin forms two numbers with the digits $$1$$, $$3$$, $$4$$, $$6$$, $$7$$ and $$8$$. Both numbers have three digits, and each digit is used only once. He adds up these two numbers. What is the greatest sum Justin can get? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 4ca9bdd241ae40399356da6f218dbb41 | 1 | short_answer | $360$ $\div$ ($70$-$4$ $\times$ $16$) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 1b35f91f96ce4f3c9d7ed9202f8cdf3f | 1 | short_answer | (UK $2019$ Ratcliffe College $11+$ Maths Specimen Paper B Question \#$12$) If you drink $350$ millilitres from a $2$ litre bottle of Cola how much is left ? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 6f30ded079154369a2666ef1c735c804 | 1 | short_answer | Find $40 \%$ of $3280$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 2baa1f80095e4ef99463beca11920717 | 1 | short_answer | Some animals live on a grassland. The amount of new grass that grows each day is constant. If there are $20$ horses, they can eat all grass in $12$ days. If there are $60$ sheep, they can eat all grass in $24$ days. The amount of grass that a horse eats per day is equal to that $4$ sheep eat per day. $12$ horses and $88$ sheep can eat all grass on the grassland in~\uline{~~~~~~~~~~}~days. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields"
] |
2023-07-07T00:00:00 | faea17ac401e48f69feca7264a676aa1 | 2 | short_answer | Morgan has written down a number pattern with two rules alternating with each other. What number should come next? $$1$$~ ~ ~ $$8$$~ ~ ~ $$16$$~ ~ ~ $$23$$~ ~ ~ $$46$$~ ~ ~ $$53$$~ ~ ~ \ldots\ldots{} | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Filling Sequences according to the Patterns"
] |
2023-07-07T00:00:00 | e069b4976d444e998bace1344680903f | 3 | short_answer | There are three inlet pipes $A$, $B$, and $C$ in a pool. If only $A$ and $C$ are turned on, the pool can be filled from empty and $18$ tons of water are from $A$. If only $B$ and $C$ are turned on, the pool can be filled from empty and $27$ tons of water are from $B$. Given the flow rate of $B$ is twice that of $A$, how many tons of water can the pool be filled up with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems"
] |
2023-07-07T00:00:00 | 77d56c10f2874a70a787b5301834ff74 | 1 | short_answer | Kevin gets paid $£500$ for each match he plays plus $£100$ for each goal he scores. In a season he plays $20$ games and averages two goals per game.How much does he earn over the season? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 15d47923017f46819afb2823ad09cc4f | 1 | short_answer | $125\times33\times8=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 8521e58090644e50b36a4c1538e31de9 | 1 | short_answer | Mike bought $$8$$ kilograms of oranges from Costco for a total of $$26.8$$ dollars. How much did each kilogram of oranges cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 92c3ddc959274727b4fd914c29d362cb | 2 | short_answer | If M, A, T and H are different digits such that MATH+HTAM=12221, what is the value of A+M+T+H ?（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 8ede2732f5484360930b19455debcec8 | 2 | short_answer | The operation "☀" is defined as, $1$☀$6 = 1 + 3 + 5 +7 + 9 + 11 = 36$, $2$☀$3 = 2 + 4 + 6 = 12$ , $3$☀$5 = 3 + 5 + 7 + 9 + 11 = 35$ . According to the rules above, calculate: $1$☀$10$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns"
] |
2023-07-07T00:00:00 | 519388df35614f98adbf4fccf30c1f5e | 1 | short_answer | How many three digit numbers contain at least two sevens? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)"
] |
2023-07-07T00:00:00 | 45f8a5a1f53f4bff9dace272c0ede1d7 | 0 | short_answer | How many numbers are there from $5$ to $10$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | ec0dc6144d204d6c943bc67a1de14ef9 | 1 | short_answer | A box of $16$ golf balls costs £$19.20$. How much does one golf ball cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division"
] |
2023-07-07T00:00:00 | ba1ea0471abe4147b19a80a73dee7d82 | 3 | short_answer | Cindy had a total of $$55$$ pieces of $$$2$$ and $$$5$$ notes at first. She spent~$\tfrac{1}{3}$~of the number of $$$2$$ notes and received another $$8$$ pieces of $$$5$$ notes from her father. After that, the number of $$$5$$ notes she had was~$\tfrac{3}{7}$ of the remaining number of notes. How much money did Cindy have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 56ce2f46479443bfaa5b050d2e0cbbe4 | 2 | short_answer | In a doctor\textquotesingle s waiting room, there are $$6$$ seats in a row. Mr Spencer arrives with his $$2$$ children. He wants to sit between his $$2$$ children. $$3$$ other people arrive who do not mind where they sit. How many different possible seating arrangements are there of the $$6$$ people? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations "
] |
2023-07-07T00:00:00 | db79add64b5e4e55bd1c4d7204bfe7d4 | 1 | short_answer | Bill has a bag containing $60$ sweets. He eats a half of the sweets himself and then gives away a third of the sweets that remain. How many sweets does Bill have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | efd4072c0059428488794f72455b87a4 | 1 | short_answer | What number is halfway between $$1.9$$ and $$1.99$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 120862b4815543c8aca7421dc70a00e8 | 1 | short_answer | There were $$6$$ questions in a mathematics competition. $$5$$ marks would be awarded for every correct answer. $$2$$ marks would be deducted for a wrong answer. If Valerie scored $$23$$ marks in the mathematics competition, how many questions did she answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 87f2dc4599dd46e7b4da2d0d59bb29b2 | 1 | short_answer | Suppose $$A$$, $$B$$ and $$C$$ are whole numbers such that $$A\times B=24$$ and $$B\times C=52$$. What is the smallest possible value of $$A+C$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 1d9a3128b1db4b549effea458b3678b2 | 1 | short_answer | $$4(x-3)+6x=28$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | c58c161a2a7e4104a3d8b34ae6e39802 | 1 | short_answer | My friend\textquotesingle s house is $$56\rm m$$ away along a straight road. I ran to his house one morning at $$7\rm m$$ per minute. How many minutes did I take to run to my friend\textquotesingle s house? | [
"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 | 1713227e7a80417398659b991525285c | 1 | short_answer | Eight students line up to take a photo. If A, B and C want to stand all together, E and F want to stand next to each other, how many different ways to line them up? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | f5c39fd451224811bc9f3fa976367ff8 | 1 | short_answer | I think of a number, divide it by $$3$$, then add $$7$$. The result is $$18$$. What was the number I first thought of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 7b25a6fdbf764009abb3fe46b1451b1f | 1 | short_answer | Write down the $$20\rm th$$ odd number. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Lucas Sequences",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences",
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers"
] |
2023-07-07T00:00:00 | c6731b7250a84dddb40920297aeac159 | 2 | short_answer | Diana is producing a batch of scarfs. She plans to finish the task in $6$ days. But if she can produce $24$ more scarfs per day, she can finish the job $2$ days earlier. How many scarfs does she need to produce? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | d709aa3b4d544c198afcabe95e0a6f53 | 2 | short_answer | Mr. Lim wants to share some sweets equally among his students. If he is to give each student $$6$$ sweets, he will be short of $$26$$ sweets. If he gives each student $$5$$ sweets, he will be short of $$5$$ sweets. How many sweets are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] |
2023-07-07T00:00:00 | 454de52781254b73adf45135eef41054 | 1 | short_answer | In a school band, the ratio of the number of boys to the number of girls was $$5:3$$. After $$15$$ boys left the school band, the ratio of the remaining number of boys to the number of girls was $$5:6$$. What was the total number of pupils in the school band at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with an Invariant Part"
] |
2023-07-07T00:00:00 | 3c337534e32542a2a1408abf3137fc73 | 1 | short_answer | Here are two ways of making a total of $12$ from three different positive whole numbers: $2 + 3 + 7 = 12$~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~$3 + 4 + 5 = 12$ How many ways are there of making a total of $15$ using three different positive whole numbers ? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers->Simple Splitting Numbers->Splitting Numbers (with required number of terms)"
] |
2023-07-07T00:00:00 | 53a8834a683e42428e72d56e59ccf186 | 1 | short_answer | 1. Compute the following series: $$2+4+6+8+10+12+14$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 2bf9d0f65e0c410a9060c2958cf95896 | 2 | short_answer | The product $$675 \times B$$ is a square, where $$B$$ is a positive integer. What is the smallest possible value of $$B$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Questions involving Square Numbers"
] |
2023-07-07T00:00:00 | 08d6f2da7cab499fa7f725364cce9c85 | 1 | short_answer | In a \textquotesingle third off\textquotesingle{} sale a bike is sold for £$$114$$. How much would it have sold for before the sale? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Discount Problems"
] |
2023-07-07T00:00:00 | 39d04fb6c8704dc88d3f67c6f0d16d16 | 1 | short_answer | $$5$$ years ago, Josh was $$\dfrac{3}{5}$$ as old as Shelby. If the current age of Shelby is $$65$$, how old is Josh now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 1ed9cf1688a143ad9c551e4a3800d10f | 1 | short_answer | Find the product of $10$, $20$, $30$ and $40$. | [
"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 | 33ef6b53bcae4073868c3823af12b33b | 1 | short_answer | A multipack of $12$ cans of Ned\textquotesingle s Cola costs £$6.95$. A single can of Ned\textquotesingle s Cola costs $65$ pence if bought individually. Calculate how much cheaper it is to buy a multipack of $12$ cans than to buy $12$ cans individually, giving your answer in pence. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 536f036013ab4469bca6f5ad12ae6efc | 2 | short_answer | Find how many numbers between $$3267$$ and $$5120$$ can be formed using the digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$ and $$6$$, with no digit being repeated. | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers"
] |
2023-07-07T00:00:00 | b50cc1f20ca94e10b645d2097f488894 | 1 | short_answer | What is a quarter of £$21.40$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 087f0c0cb6054a9ba715f2fad278b021 | 1 | short_answer | Adam, Ben and Carl are weighing themselves. Together, Adam and Ben weigh $$102\text{kg}$$ Ben and Carl weigh $$97\text{kg}$$ Adam and Carl weigh $$93\text{kg}$$ What is their total weight in $$\text{kg}$$? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | f51139da1a3a4082be80548a0b4d3748 | 1 | short_answer | Three apples and a banana cost $32$p. Six apples and a banana cost $53$p. How much does one banana cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | 47f9d71bbd1347aea812d6674ed1a0d8 | 1 | short_answer | Alan and Bob can paint a room in $$4$$ hours. Bob would take $$6$$ hours on his own. How long would Alan take on his own? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems->Basic Collaboration Word Problems"
] |
2023-07-07T00:00:00 | 19fe1b137a4c47e4a70b3c03766f0a82 | 0 | short_answer | What is $$55 \%$$ of $$80$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 2f235f0788fb43ae81e1809f99c806ca | 1 | short_answer | Judy collected $$310$$ stamps. $$172$$ of them were Singapore stamps while the rest were Malaysia stamps. How many more Singapore stamps than Malaysia stamps were there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | db4169b4944e4cbfbcf68f063aba4c5f | 1 | short_answer | You deposit $500$ dollars in an account that pays $8 \%$ interest compounded yearly. What will the account balance be after $10$ years? ($0.92^{10} \approx 0.434$, $1.08^{10} \approx 2.16$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 098dd57d750645208b9a88bebb06ae3d | 1 | short_answer | Andrew, Kim and Shaun have 256 stamps. Shaun has twice as many stamps as Kim. Andrew has 24 less stamps than Shaun. How many stamps does Andrew have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 6bc35ca24e8a477a8721a3ee646bc624 | 1 | short_answer | Add these two numbers together: ten thousand and twenty four $$$$and$$$$ three thousand nine hundred and sixty eight. Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 533857ee1add4235b4509835e79455c4 | 1 | short_answer | Determine the highest common factor between $84$ and $108$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 119cdd759a7d4ca9845f3cc8718b8443 | 1 | short_answer | Aria\textquotesingle s dog eats $$15$$ $$\text{kg}$$ of dog food each week. How many kilograms of dog food would Aria need to buy to feed her dog for $$26$$ weeks? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 8ae98f07396b40058f13ac11affb9784 | 1 | short_answer | Pinkie took the midterm exam and got her score back. If she took $30$ points off, she would get the same score as if she halved her original score and then add $10$ to it. What is her original score? Write an equation to solve the question. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 508b9d97347440a0b80cafeabef4a947 | 1 | short_answer | Mark, Nicole and Peter are running for Head Prefect. $$120$$ students are involved in the voting. Mark has $$22$$ votes so far, while Nicole has $$27$$ and Peter has $$35$$. How many more votes must Peter get to be elected for the position without fail? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | eea021c591d7400d80e856a767d07752 | 1 | short_answer | Alex and Nicholas have the same amount of money at first. After Alex spent $ $$$58$ on a toy and Nicholas spent $ $$$13$ on a book, the amount of money Nicholas had left was $6$ times that of Alex\textquotesingle s. How much did they have altogether at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | d5155e4d5ad84669b50a6dc5c2a99d1c | 2 | short_answer | I have a pile of sweets which contains less than 30 sweets. If I put them into piles of 3, I have none left over. If I put them into piles of 2, 4 or 5, I always have one left over. How many sweets do I have? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"
] |
2023-07-07T00:00:00 | d1b3edb622a94a938bdd4deb2c79349e | 2 | short_answer | Calculate：$$250-6-6-6-6-6-6-8-8-8-8-8-8$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Operation Strategy in Addition and Subtraction of Rounding Whole Numbers->Adding or Removing Brackets"
] |
2023-07-07T00:00:00 | b57cda394d944362b1e48088868e9f0c | 0 | short_answer | Today is $$6^{th}$$ February $$2023$$ and today is a Monday. Which day will it be $$28$$ days later? (Fill in your answer in the following format: Friday $$\rightarrow 0005$$, Saturday $$\rightarrow 0006$$) | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 0c1b04af51f742999f2ca9765aedb50d | 1 | short_answer | Mrs Lee bought $$600$$ $$\text{g}$$ of flour. She used some of it to bake some cookies. She had $$21$$ $$\text{g}$$ of flour left. How much flour did she use to bake the cookies? She used~\uline{~~~~~~~~~~}~$$\text{g}$$ of flour to bake the cookies. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 6195126bb5a54128ab0d4b1902877f4f | 1 | short_answer | Find pair of numbers to form whole number, then calculate. $12.35+8.65+9.8-2.8=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | a6b80ec179af453daf8021b9dc7907b9 | 1 | short_answer | If $a^{}\frac{2}{3}=9$, what is the value of $a$ ? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 0297a10276ed45e1aa82953f7cfb5934 | 1 | short_answer | What is the value of the digit $6$ in $54.016$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | f475d2f1e6f34559b3da9ca1ce9d31ff | 1 | short_answer | $52\div\dfrac{2}{3}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 507ce61646b54d9d972812acdf557e23 | 1 | short_answer | Some telephone poles were placed along a $$240\text{m}$$ road at regular intervals of $12\text{m}$. No telephone poles were placed at either end of the road. How many poles are there on this road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 3c1879332bf54abaa9acb25e23c4e762 | 1 | short_answer | Alison has $$10$$ more pencils than rulers. If she has a total of $$52$$ pencils and rulers, how many rulers does she have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Problems Involving Sum and Difference with Two Variables->Direct Sum and Direct Difference"
] |
2023-07-07T00:00:00 | 9d83d1281e9a4e2db5186517aa7ae8eb | 1 | short_answer | The mean of the dataset "$11,13,17,x,12$" is $11$. $x=$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | cc51dc96be8d4cb99c8479ff14df80ea | 1 | short_answer | In the number $67379$, what is the difference between the values of the two $7\text{s}$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Applying Place Value Principle in Calculation"
] |
2023-07-07T00:00:00 | 8f9071448b334615b680eae78ad6d93f | 1 | short_answer | A meal in a restaurant costs the same for each person. For $11$ people the total cost is £$253$. What is the total cost for $12$ people? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | eb0f5add450e4a9ab6a265d98bae439c | 1 | short_answer | A blue dress costs two times as much as a red dress. A yellow dress costs $ $2.40$ more than a blue dress. Hailey bought a blue dress, a red dress and a yellow dress. She spent $ $65.40$ in total. How much does a blue dress cost? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | a97ee845f64d4f25b71479ba9826754d | 2 | short_answer | There are 13 red, 10 yellow, and 15 blue marbles in a bottle. How many marbles would you need to take out at least to ensure that you have 4 marbles of the same colour?（⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 11e835ed8a2649f0b446fa81c9cd3d23 | 1 | short_answer | At Casterbridge Academy, the ratio of boys to girls is exactly $5:6$. There are $200$ \textbf{boys} at Casterbridge Academy. Work out the number of \textbf{girls} at Casterbridge Academy. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 0aa9f0da78114b919761155b61de3f58 | 1 | short_answer | In the decimal expansion of $\frac13$, find the sum of the first $1000$ digits from the right of the decimal point. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 1f3fc787b72e4079adc614b98529d7df | 1 | short_answer | What is $$15 \%$$ of £$$29$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 027e7a3d49eb4325a8b4a3460e1cc172 | 1 | short_answer | There are three containers $$A$$, $$B$$, and $$C$$. Each container has $$30$$ grams, $$40$$ grams, and $$50$$ grams of pure water respectively. Now we put $$10$$ grams of solution of a certain concentration into container $$A$$, then put $$10$$ grams of solution from container $$A$$ into container $$B$$, finally put $$10$$ grams of solution from container $$B$$ into container $$C$$. Given that the final concentration in container $$C$$ is $$0.5 \%$$, what was the concentration of the solution that we put into container $$A$$ originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 06a3c4c2e5804a44ace159113da6ba05 | 1 | short_answer | SASMO 2015 P2 Q12 Sophia is counting by twos. She start at 2 and crosses it out. Each time she counts to a new multiple of 2, she crosses it out on her hundred chart. How many multiples of twos would she have crossed out in her chart when she finishes counting by twos to 100? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | ab6dca5c40ee402e956dc70279823b4c | 1 | short_answer | The cost of $8$ identical books is £$32$. What is the cost of $12$ books? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 0b6bdeab9546405d978d1812c7201565 | 1 | short_answer | $$4\times$$~\uline{~~~~~~~~~~}~$$-13=55$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | ec87e304fc2740f28c9d1e303434b7bd | 0 | short_answer | Add together the following, giving your answer as a DECIMAL. $$\frac{2}{5}$$, $$35 \%$$ and $$0.604$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Converting Between Fractions, Percentage and Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | 144a37458618498d8c19e53cf5ec0049 | 4 | short_answer | （AMC 2016 Question \#30） Today my three cousins multiplied their ages together and it came to 2016. This day last year their ages multiplied to 1377. When they multiplied their ages together 2 years ago today, what was their answer? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 3af1e296b55d48b081f32a1a006667ef | 0 | short_answer | In how many ways can five people line up for a group picture if two want to stand next to each other? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | e514e8bc1f604e7584c55c9dca3b2fed | 1 | short_answer | The fruit store sold a total of $$33$$ boxes of apples in the first three days of last week, and an average of $$18$$ boxes of apples per day in the last four days. How many boxes of apples did this fruit store sell on average each day last week? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 4ecf6dfe09074d81b2c8e57fe42c031f | 1 | short_answer | A $$12$$ $$\text{mg}$$ metal containing $$40 \%$$ nickel was combined with a $$13$$ $$\text{mg}$$ metal containing $$60 \%$$ nickel. Find the percent concentration of nickel in the new metal. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | 31aa53351e2b49aab72bde2d7ea3c1a2 | 1 | short_answer | Find the value of $x$ ：$$9-(x+3)=1$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | de0d981643f2427f8f190ba70891f0a6 | 1 | short_answer | What number is halfway between $$-3$$ and $$8$$? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | c17e0a2b113d46b781b7f26e782fd14f | 1 | short_answer | Eight players are in a Ping-Pong tournament using single round-robin rules. Everyone scores different number of wins (no ties occurred). How many wins does the champion record in the tournament? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | ffb4fa57b0eb47ffb07fa2c7f49ef9f4 | 1 | short_answer | $15\div\dfrac{1}{7}=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | be0945399c6b4d0dba2ad2baaabb31ad | 2 | short_answer | John was finding the total of the numbers from $$1$$ to $$n$$. However, he accidentally added one number twice, ending up with a wrong total of $$3405$$. What number did he add twice? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression",
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Correcting the Careless Mistakes"
] |
2023-07-07T00:00:00 | 5fd6b39e9b3a49549d8336ce20856f59 | 2 | short_answer | In an arithmetic progression, the sum of the first $6$ terms is $64$ and the sum of the first $12$ terms is $156$. What is the sum of the first $18$ terms? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | f8b94a6a82c7406a83b47ec788b92ca2 | 3 | short_answer | （AMC 2020 Question \#27） On my chicken farm where I have 24 pens, the pens were a bit crowded. So I built 6 more pens, and the number of chickens in each pen reduced by 6. How many chickens do I have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 221781af3d4444f881f99b112ffa3aa3 | 1 | short_answer | In a division equation, the sum of the divisor, dividend, quotient and remainder adds up to $40$. Given that the remainder is $3$, the number of possible values of $\frac{\text{Dividend}}{\text{Quotient}}$. ~\uline{~~~~~~~~~~}~$\div$~\uline{~~~~~~~~~~}~$=$~\uline{~~~~~~~~~~}~R~\textbf{3} | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 13aecb4038e84ceeb7586defdcee7f3d | 1 | short_answer | There are $$146$$ boys and $$94$$ girls in the math club. The ratio of the total number of members in history club to the total number of members in math club is $$7:8$$. How many members in history club? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 758d557365b6402ba3525678e7c085b7 | 1 | short_answer | On the planet Zog, all numbers are writen with the digits in reverse order. For example, forty-fve is writen as $$54$$. Pluto, an inhabitant of Zog, was given the subtracton $$729$$---$$26$$. If no mistakes were made, what answer did Pluto write down? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning using Hypothesis->True or False Questions (for answers or numbers)"
] |
2023-07-07T00:00:00 | cbad92babc7144ffa95f44fbcc74faa1 | 1 | short_answer | A number is the factor of $45$ and $60$, what is the largest possible value of this number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 0f19ecaf9e6a4a268a28394ccf10d38e | 1 | short_answer | $312+9=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 4c066587422f44769fef6ac62ea2a629 | 1 | short_answer | Ashley is $$10$$ years old. Three years ago, she was $$2$$ years older than her brother. How old is Ashley\textquotesingle s brother? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | ddbda2b526d94447986b592f33c0b725 | 1 | short_answer | A train with a length of $$160$$ meters takes $$30$$ seconds to completely pass through a bridge. The train moves $$20$$ meters each second. Find the length of the bridge. | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains"
] |
2023-07-07T00:00:00 | 4f44a87fc2ed45138614656e0d4cdc2e | 1 | short_answer | (UK St Paul's Girls School Sample Paper Section $A$ Question $$15$$) Emily scores $30$ 0ut of $60$ in a test. Hebe scores $60 \%$ in the same test. How many more marks did Hebe get than Emily? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Converting Between Fractions, Percentage and Decimals"
] |
2023-07-07T00:00:00 | 92633a5c2d4045258377b67eb7914f16 | 1 | short_answer | Every morning, Star leaves her home to exercise. At $$\rm 6:30 a.m.$$, she leaves home and begins jogging at a speed of $$9$$ km per hour. At $$\rm 7:00 a.m.$$, she slows down and begins to walk at a speed of $$7.5$$ km per hour. At $$\rm 8:00 a.m.$$, she finishes her exercise. How many km does Star travel in total every morning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | e7b83b9b5e1e45ebbe58b8753935aa52 | 1 | short_answer | Calculate $0.23 + 1.9 + 0.083$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | 9bba3d6fb8a24e63b64427cf2f150104 | 1 | short_answer | How many different three-digit numbers can be formed with the digits $$0$$, $$3$$, and $$4$$ if each digit can be used more than once in each number? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | c3bbf6f074774feb9ff7aa22e47b31ca | 1 | short_answer | A baseball team played $63$ games and won twice times as many games as it lost. How many games did the team lose? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
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