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timestamp[s] | queId
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stringclasses 5
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value | problem
stringlengths 6
2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 164b7924a0ed4adebd005bf7b479d61e | 1 | short_answer | $$1+2+3+4+\cdots +48+49+50$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | c873b5b5ac9541dcb53c627cbe9f99fb | 1 | short_answer | Dini thought of a number. She doubled this number and added $$10$$ to give the result $$52$$. What number did Dini think of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 48f2b82e698b40afaaebc96c59f848cf | 1 | short_answer | Three brothers have a total of $$10$$ identical books. If each of them has at least two books, how many different possible ways are there to divide the books among the brothers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | d2baf801099b456eb142be13a3d0ee04 | 1 | short_answer | $-2 + 9 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 1b6c26ceb8bb4bedb8eb52f798a8d704 | 1 | short_answer | There are $$12$$ red, $$9$$ blue, $$8$$ yellow and $$3$$ red marbles in a bottle. At least how many marbles must be drawn to ensure that there are $$4$$ marbles of different colours? | [
"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 | 902e4b7c9173456ebdf391276d04a873 | 1 | short_answer | There is a thirty-nine digit number $$55\cdots 55\square99\cdots 99$$ (of which $$5$$ and $$9$$ each have $$19$$) divisible by $$7$$, what is the middle digit $$\square$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 6563b1695a224e99b4db826a159ebb3f | 1 | short_answer | Mark read a novel. He read $40$ pages on the first day, which was $\dfrac{1}{5}$~of the whole book. How many pages does this book have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | c07d7632fe45424588ee9b8ac2d2fccf | 1 | short_answer | $$31$$ children stand in a row from the shortest to the tallest. The last child is $$131$$ cm height. Tom stands the $${{10}^{\text{th}}}$$ place counting from the first. No two children have the same height. What is the maximum heights of Tom? (The height of all the children are whole numbers.) | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Extreme Value in Inclusion-Exclusion for Multi-sets"
] |
2023-07-07T00:00:00 | 5c64c7efc74e45c9b22395c64f0188f1 | 2 | short_answer | Use the clues below to find the number being described. * The number is a 3-digit number. * the sum of its digit is 15. * The digit in the tens place is twice the digit in the hundreds place. * The digit in the hundreds place is 1 more than the digit in its ones place. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 7607c9c8b07e482d9e79d3a708db918f | 1 | short_answer | How many two-digit numbers that have the unit digit $$6$$ are there? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | 2dfebe97055d446791ecaff5fcc836bf | 0 | short_answer | Edgar went to a supermarket and purchased $105.6$ dollars-worth groceries, which cost him $14.4$ dollars more from last time. How much did Edgar spent from his last two purchases at the supermarket? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | fcb8fb796c2e414aa7381ebb608de85a | 0 | short_answer | Work out $$73\times42$$. ~\uline{~~~~~~~~~~}~ | [
"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 | 39dc0e644ff04e4b8de2705b050243b2 | 1 | short_answer | Jason has $$30$$ storybooks. If he gives $$4$$ storybooks to Anthea, both of them will have the same number of storybooks. What is the difference between Jason and Anthea at first? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving"
] |
2023-07-07T00:00:00 | f7ea1bce2ab643be811669ebb19981e8 | 3 | short_answer | In a number sequence, the first integer is $$3$$, the second is $$10$$, and starting from the third integer, each integer is the sum of the two integers directly in front of it. What is the remainder when the $$2023^{\text{rd}}$$ integer is divided by $$3$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 3d72ae69fbf944028dbf7faeb677cf3d | 2 | short_answer | There are two numbers, $$208$$ and $$136$$. If Vicky subtracts a magic number from both of the numbers. The first number will be $$9$$ times that of the second number. What is the magic number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 0d39e6b35f684ae79df0144ef9a461d4 | 1 | short_answer | Divide $0.7$ by $100$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | b0b3f16fb74d472d8584aeb80b4a4f84 | 0 | short_answer | Wan Ting is giving her students some small gifts for Children\textquotesingle s Day. If each student is given $$5$$, there will be $$3$$ left. If each student is given $$4$$, there will be $$9$$ left. How many students does she have?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | b6d78733f8874f2bbfe35bd591c415ac | 3 | short_answer | The number 840 is the 3-digit number with the most factors. How many factors does it have？ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Theorem of the Number of Factors of a Number"
] |
2023-07-07T00:00:00 | 4abc9fccc13742938eb625a6b470a258 | 1 | short_answer | $349 \times 7$ | [
"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 | e681c565553246ed822a81c5b707ec85 | 0 | short_answer | Four $$2$$-digit numbers are made up from the digits $$1, 2, 3, \cdots, 8$$ with no repetition. The following are the hints about these numbers: * In the smallest number, the ones digit is twice the tens digit. * In the largest number, the sum of ones and tens digits is $$9$$. * In the second largest number, the tens digit is $$5$$ more than the ones digit. * There is only $$1$$ odd number among these $$4$$ numbers. Find the second smallest number. | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | d920f123f70448728a0dafe2a25fdf8d | 1 | short_answer | Alan, Bella and Chloe have a total of £$$200$$. The ratio of Alan\textquotesingle s money to Bella\textquotesingle s is $$4:3$$, and Alan has £$$20$$ more than Chloe, how much does Chloe have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 9778a46322434ec1b4d042645d3fe72c | 1 | short_answer | Lucy loves chocolate. She buys a box of chocolates for £$7.85$ and two bars of chocolate with hazelnut, costing £$1.83$ each. How much change should she get if she pays with a £$20$ note? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 008ec416ca584514bc4c64610a10f70c | 1 | short_answer | Lily and her four family members are lining up to take a picture. If Lily has to stand on the left end, and her mother has to stand on the right end, in how many different ways can Lily and her family members line up? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 56e3afa3b21b4b4d94f49f7e28b2d801 | 1 | short_answer | The first row of a theatre has $$7$$ seats. Each row has $4$ more seats than the row in front of it. There are $$99$$ seats in the last row. How many seats are there altogether in the theatre? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | d648707a7707454fba27679a28405452 | 1 | short_answer | What is the smallest two-digit number that can be divided by both $5$ and $7$ to get a remainder of $4$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | d56f06764b62432b87f7f6c8d24937fd | 1 | short_answer | £$1.28-57\text{p}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 9c5b7505e33a431cbdc19a2c3eb56463 | 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 | bab761c62984431592b8726b89f2c00c | 3 | short_answer | Sam had $40$ stickers more than Peter. Sam gave $20 \%$ of his stickers to Peter. In return, Peter gave $25 \%$ of his stickers to Sam. In the end, Sam has $96$ stickers more than Peter. How many stickers did Peter have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 355c1761cec84abd8c37e4d0cef83961 | 1 | short_answer | The average of three numbers is $120$. With a fourth number is added, the average of the four numbers becomes $150$. What is the fourth number? | [
"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 | e2a5a025a0174c48a9cbcfecee7eec99 | 1 | short_answer | Calculate: $$5^{2}+6^{2}+7^{2}+\cdots +15^{2}$$. Kimmy\textquotesingle s answer to the question was $$1240$$, since $$\frac{15\times 16\times 31}{6}=1240$$. Is Kimmy correct? If not, what should be the correct answer? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2)"
] |
2023-07-07T00:00:00 | c49ccde6fc4248779aaf8093faa8ad18 | 2 | short_answer | Olivia participated in a calculation skills competition. There are $$20$$ questions in total. Every question she get correct, she will earn $$5$$ points. If she answer wrongly, she will lose $$2$$ points. In the end, she score a total of $$51$$ points. How many question she answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | a377ef0412d7428190675053dcb17b39 | 1 | short_answer | Amy spent $\frac{6}{11}$ of her money and an additional $ $5$ on some highlighters. She then spent $\frac{3}{10}$ of the remainder and an additional $ $12$ on some fountain pens. If she has $ $30$ left, how much did she have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | e03fffbc9560433d92099ac8fe50d88b | 1 | short_answer | $543\times6$ | [
"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 | 98eef6de38874e70b51aaed908dca418 | 0 | short_answer | $$$$Calculate$$$$ $（26+（12+6)\times3)\div4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f15fa89c42d94b389e9ef9de02718b7a | 3 | short_answer | The ratio of Sally\textquotesingle s age to Gillian\textquotesingle s age is $$2 : 7$$. In $$15$$ years\textquotesingle{} time, the ratio of Sally\textquotesingle s age to Gillian\textquotesingle s age will become $$1 : 2$$. What is Sally\textquotesingle s age now?~\uline{~~~~~~~~~~}~years old. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 2c7e97e51b1c44f49d2f4e7c79fde704 | 1 | short_answer | When doing a subtraction problem, Olivia mistook the subtrahend of 75 to be 70, and hence got a result of 30. What is the correct result? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Correcting the Careless Mistakes"
] |
2023-07-07T00:00:00 | 7b32265def7a4762b0e99a9bf7936e79 | 1 | short_answer | There were $$40$$ customers queuing up at a new bookshop. The bookshop gave away some door gifts to some customers. Every $3^{}\text{rd}$ customer received a pen. Every $$4^{}\text{th}$$ customer received a file. How many customers received \textbf{\uline{both}} a pen and a file? | [
"Overseas In-curriculum->Knowledge Point->Knowing Numbers->Characteristics of Numbers ->Factors and Multiples->The Common Multiples of two Given Numbers",
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | a1d04f9a8f8d4d059eb87e3597859b60 | 1 | short_answer | Hook walks $20$ minutes to school, and he walks $5$ more minutes than Lily. How many minutes does Lily walk? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 3061e5b8281f449bae77026f2740418a | 1 | short_answer | A baker used $$4$$ apples to bake a cake. $$9$$ apples have a mass of $$1\rm~ kg$$. A total of $$8\rm~~kg$$ of apples were used by the baker, how many cakes could he bake? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | d7682b78c94a49209da98614f89b4b03 | 1 | short_answer | What number goes in the box? $$\frac{\square}{9}$$ of $$45=35$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 681b53f5f3ca46d192bdc4d5538dc3f9 | 1 | short_answer | A gardener planted $12$ sunflower seeds along the edge of a circular garden. Each sunflower seed is $1.5$ metres apart. Find the circumference of the circular garden. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | a91b6b3ee1ba49258ef75384834b6006 | 1 | short_answer | Work out~$\dfrac{3}{8}$~of $32$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | e3c684818e824d38b568f73a39a2e8a3 | 1 | short_answer | There were $10$ pieces of paper. Some of them were cut into three parts. Altogether, there are now $16$ pieces of paper. How many pieces were cut into three parts? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 48863edbbbd648d296639b0ac7b6a0a5 | 1 | short_answer | $$198+67-25=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 51f55ad6ea4b438da0c7c862bf88d5ca | 1 | short_answer | A total of twelve boys and eight girls participated in Sports Day. Given that the average score of the boys was $10$, and the average score of all participants was $14$, find the average score of the girls. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 13a8b45061f4450e89e1c253f4020c18 | 2 | short_answer | Students from Year 3 line up and form a square array, and there is a surplus of $9$ students. If one row and one column are added to form a larger square array, $16$ more students are needed. Find the number of students in Year 3. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 18a91f2a3e4b4cc6a04adbcfd3069472 | 1 | short_answer | Lily divides $50$ postcards into $5$ envelopes. One week after Lily has already divided the postcards, her friends give her some other postcards, and then Lily divides those new postcards into another $2$ envelopes. Each envelope has the same number of postcards. How many postcards in total are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | c0dd58bb208c4720a65f8a3da63ebc53 | 1 | short_answer | When Harry bought his train ticket, he received £$$2.50$$ in change. He noticed that for each coin in his change, there was~\uline{exactly}~one other coin of the same value. What was the coin of smallest value in Harry\textquotesingle s change? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "
] |
2023-07-07T00:00:00 | 3443aaa6a82a4aa1acae9f85d2a28ffe | 3 | short_answer | Jolie baked some cookies. She threw away~$\dfrac{3}{5}$~of the cookies as they were burnt, and she sold $75 \%$ of the remaining cookies. Given that the number of cookies she burnt was $$42$$ more than the number of cookies she sold, how many cookies did Jolie bake at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | d7759b0612fe43e8a7e3a06d59283855 | 1 | short_answer | Rabbit food costs $80$p for $100$ grams. What is the cost of $250$ grams of rabbit food? Show your working, giving your answer in $￡$． | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 8cf2ad99816645c8ba0e8566d2059b61 | 1 | short_answer | Evaluate the following expression: $\frac{(-3.2)-(0.2)^{2}}{-1.8}-\frac{41.08-(-\frac{2}{5})^{2}}{3+(-2)^{3}}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 03ff37f2d8384e4285c23e9e15eec692 | 1 | short_answer | Teacher Angel has $$27$$ apples. She want to pack the apples into container so she can keep them nicely in the fridge. Each fo the container can only hold $$4$$ apples. What is the least number of containers needed so that teacher Angel can pack all the apples in the fridge? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | a5661c18fea04c948a12554694325f0d | 2 | short_answer | My special number has a $9$ in the units column. If I remove the $9$ from the units column and place it at the left hand end of the number, but leave all the other digits unchanged. I get a new number. This new number is four times my special number.What is my special number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"
] |
2023-07-07T00:00:00 | d6d6b3b23b51458482c4922539d3c5df | 1 | short_answer | Calculate the following expression quickly and show your working! $$50-21-19$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 5477bd06248540239e46216795757a4a | 1 | short_answer | Mary scored $14$ out of $20$ in a test. Find $14$ out of $20$ as a percentage. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 2324e551139441b59d8da8e39e7bf259 | 2 | short_answer | A $$4$$-digit number $$\overline{107Y}$$ is divisible by $$6$$. Find the value of $$Y$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 7b61fa01ec374c2b83c5f8a39d04e91c | 1 | short_answer | A $2$-digit number has a remainder of $1$ when it is divided by $4$. It also has a remainder of $1$ when divided by $7$. Find the smallest possible $2$-digit number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 93e28acfc00d445394efdabe5a2da3c8 | 1 | short_answer | Laura, Rita and other four students are lining up to take a picture. Laura must stand in the front, and Rita cannot stand at the end. How many ways are there for them to form the line? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 90c447fcc0de4e5a9b771920095757aa | 1 | short_answer | Paul made a sugar solution by mixing $70\text{g}$ of sugar and $490\text{g}$ of water. What is the concentration of the sugar solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 90d9980aee5c463cad10072163e15658 | 0 | short_answer | Towns A and B are two places on a highway. Jerry starts driving from town A and Kevin starts driving from town B at the same time. They travel towards each other. When they meet each other, Jerry has travelled three-sevenths of the distance between towns A and B. The speed of Kevin is $80$ mph. In each hour, Jerry travels $\frac25$ of the road length. What is the length of the road? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | b5485eaf0ddf46c89dd4082df078ffbf | 0 | short_answer | \textbf{$$n$$~}is the number where $$4\times n=36\div3$$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~} | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | 2bf4015e0be3437da65611461a6f01c5 | 1 | short_answer | Define the operation symbol $$a\otimes b=\left( a+b \right)\times a$$, find the value of $$(4\otimes 7)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | c8ffb29e933649f1a14001292da6814e | 1 | short_answer | Multiply $$53\times9$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 0f16879a0bec4f9fb882203fb6a75cef | 2 | short_answer | In a sale, there is a $$50 \%$$ discount for all items off the regular price. If at least $$5$$ items were bought, there would be an additional $$20 \%$$ discount on the discounted price. Mr Tan bought $$8$$ items at the shop and the regular total price for the $$8$$ items is ＄$$120$$. How much did Mr Tan pay in dollars? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 799dbcfeda0a40a3a052a9aed029df33 | 1 | short_answer | Buzz is three times as heavy as Jessie. If Buzz is $450{\rm{g}}$ heavier than Jessie, what is the weight of Buzz in grams? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Differences and Integer Multiples"
] |
2023-07-07T00:00:00 | 3d94d3aa90b542049e493d4ab7538dea | 1 | short_answer | Jack sold $$88$$ apples today, which is make up $$\frac 47$$ of the number of apples he brought today. How many apples did he bring today? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 695197b7d2474faba84b6999f62c3332 | 1 | short_answer | Singapore time is $$7$$ hours ahead of London time. A plane took off from Singapore at $$05:00$$ of $$24$$th August and flew to London. When it landed in London, the clock there showed $$11:00$$ of $$24$$th August. How long did the flight take? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | bac4be7824ee43909d38294e95af5558 | 0 | short_answer | Work out: $$42\div10$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | ca71d8deb6874a48b997dfa4946cf66c | 1 | short_answer | The average number of pencils owned by the boys and girls in a class is $$35$$. The average number of pencils owned by the boys is $$20$$ while the average number of pencils owned by the girls is $$60$$. If there are $$40$$ pupils in the class, how many boys are in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | e15d4768dc4c4072857f5a57de71a7fd | 2 | short_answer | Sally plays two games against Martin. In each game, Sally could win, draw or lose. In each game they play, the probability that Sally will win against Martin is $0.3$ the probability that Sally will draw against Martin is $0.1$ Work out the probability that Sally will win exactly one of the two games against Martin. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Calculating the Probability by Using Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 6a26a1f4961b42cda05e71749b6db36e | 1 | short_answer | Jonathan has some lollipops and he wants to put them into boxes. When he puts $4$ lollipops into each box, he has $32$ lollipops left over. What he puts $7$ lollipops into each box, the last box had only $3$ lollipops. How many lollipops does Jonathan have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | a6f1656bdca94cb5bb2e8feecf11199a | 1 | short_answer | When each of the numbers $$2010$$, $$2377$$ and $$3111$$ is divided by a number $$D$$, they give the same remainder $$R$$. Find the largest possible value of $$D+R$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence"
] |
2023-07-07T00:00:00 | f23477aaae354680a318e24f3cc005a7 | 1 | short_answer | When $$\dfrac{1}{13}$$ is written in decimal form, what is the digt in the $2012^{\text{t}\text{h}}$~decimal place? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 1704b8a5c6f542c3a689bc27fdeec9dd | 1 | short_answer | $531 \times 135$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 23f30d5016a749f989d2709b4e2a66a8 | 2 | short_answer | If you add up the digits of $$14$$ you get $$5$$, i.e.$$1+ 4=5$$. \textbf{How many} $$2$$-digit numbers are there altogether (including $$14$$) which add up to a multiple of $$5$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ordered Enumeration"
] |
2023-07-07T00:00:00 | 86efdba907a74bacbc9b69da4825ce61 | 2 | short_answer | It is given that~$a\Psi b=a\times3+b\times4$, What is the value of~$4\Psi7$?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 2ad497194d6f450abccaef3b55d6f58f | 2 | short_answer | The ratio of Eddi\textquotesingle s cards and Wiya\textquotesingle s cards was 8:7. After Eddi gave 4 cards to Wiya, the ratio became 18:17. How many cards did Eddi have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"
] |
2023-07-07T00:00:00 | 770c05d97a024fdbaf944f8e7f240d9f | 1 | short_answer | Solve the equation below： $$3\left( 2x-2 \right)=30-3x$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 5500f21bc74e4e09974c72edd6ba504d | 1 | short_answer | Max bought some blue, red and green marbles. He bought $$72$$ blue marbles. The ratio of the number of red marbles to the number of blue marbles was $$5:6$$. The number of red marbles was twice that of the number of green marbles. How many marbles did Max have altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"
] |
2023-07-07T00:00:00 | 8a86b5d67c0c44e89925084668201394 | 1 | short_answer | Calculate $$\frac{2017\dfrac{7}{8}\times 3\dfrac{2}{3}-2016.875\times \dfrac{11}{3}}{\left( 2017\dfrac{1}{3}-2016.875 \right)\times 17}\times 3\dfrac{23}{32}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | 1bf11d4ba9fe405c8767bb70997fd945 | 1 | short_answer | The golden rabbit and the sea turtle were having a $$6990-$$meter race. They started running at the same time. The golden rabbit ran at a speed of $$330\textasciitilde{} m/min$$ and the sea turtle ran at a speed of $$30\textasciitilde{} m/min$$. Ten minutes later, the rabbit felt confident and slept for $$215$$ minutes. Then he woke up and continued running at the same speed. According to the information above, who reached the finish line first? What was the distance between them when the first one reached the finish line? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 79d7374a63ab4894b0eb632021d19346 | 1 | short_answer | Class A has $47$ more students than Class B. How many students need to be moved from Class A to Class B such that Class A will have $9$ more students than Class B? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 2c92243cffd64756b422d36fd5a66424 | 1 | short_answer | A string measures $$13.2\text{cm}$$. It is cut into three pieces. Two of the pieces measure $$5.3\text{cm}$$ and $$3.8\text{cm}$$. What is the length of the third piece? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 61eccb915ca741c7b21a213b89915b76 | 1 | short_answer | Given that three positive integers $$A$$, $$B$$, and $$C$$ (the numbers can be the same), and $$A+B+C=31$$, find the largest value of $$A\times B\times C$$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | cf1c9e5f45354fe48f3b0685d1e60dbe | 1 | short_answer | Calculate $$5.221 + 5.8$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | c4e305df8e864689a3ba869bd34de689 | 1 | short_answer | There are $5$ footballs in one basket. How many footballs are there in $7$ baskets? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | ab941a0743bd48f0a1e26a2e34ebdae5 | 1 | short_answer | A used-car dealer sells a car at $$120 \%$$ of its cost. If a car costs £$$25000$$, how much will he sell the car for? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 93fe50f0358b4d2ea6a521e9ea3ed0a2 | 1 | short_answer | The difference between two numbers is $$57$$ and the sum of the numbers is $$77$$. What is the value of the smaller number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | f50c5960070d4a3fb0b23a7198ed14e0 | 1 | short_answer | There were twice as many adults as boys and thrice as many girls as boys at a funfair. Given that there were a total of $480$ people at the funfair, how many girls were there at the funfair? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | bfa83b401aa849afa830d6bedd007504 | 1 | short_answer | A number is oddtastic if all of its digits are odd. For example, 9, 57 and 313 are oddtastic. However, 50 and 787 are not oddtastic, since 0 and 8 are even digits. How many of the numbers from 1 to 999 are oddtastic? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 3e8c59f7bce94540b723e7c4f74ae108 | 1 | short_answer | How many $$3$$-digit odd numbers are there such that the sum of the individual digit added up to be $$5$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | a750e73a350c42c59e6e88752789f517 | 0 | short_answer | Pairs of avocados are sold in a shop. $16$ pairs of avocados are sold at a total cost of $£24$. The shopkeeper now decides to separate the pairs and sell the avocados individually, but without any change to the total price. What is the cost of an individual avocado? Give your answer in pence. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | e06dbcf7684f4efe9b8aa8167604d9eb | 1 | short_answer | I roll $2$ fair $6$-sided dice and add up the numbers shown on each to get a total score. What is the most likely total score that I can get? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Rolling Dice"
] |
2023-07-07T00:00:00 | 3489712bf419469fb79ab41aed184413 | 1 | short_answer | Last week, a class of $$36$$ students took a Mathematics test. The average score of the class was $$89$$. The girls\textquotesingle{} average score was $$88$$ while the boys\textquotesingle{} average score was $$91$$. How many girls were there in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 393a5918d6354e808621ec682f62ddae | 2 | short_answer | In the safari, there are some rhinos, deer and ostriches. The number of rhinos is equal to the number of deer. There are a total of $$28$$ heads and $$88$$ legs altogether. How many rhinos are there in the farm? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | bb069229eb994a6685105c9e4771780d | 2 | short_answer | Twelve people (and no more) can sit evenly spaced around a square table. Deesha puts eight of these square tables together in a row to make one very long rectangular table. What is the maximum number of people that can sit evenly spaced around this long table? | [
"Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts->Combining Numbers with Figures"
] |
2023-07-07T00:00:00 | b6cf5eeb7a434c4697c9588add4acbec | 1 | short_answer | Andrew has $30$ marbles less than the average of Boris, Jeffery and Xavier. Xavier has thrice as many marbles as Andrew. How many marbles does Jeffery and Boris have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | 938d7287364b480e824843004f4aebab | 1 | short_answer | Divide:$9786\div7$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 40b2f9c840514df0bcbdb734e998e84c | 1 | short_answer | Susan bought a book, Crazy Science. $339$ digits are printed in numbering this book consecutively from $1$. How many pages are there in this book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | f98fcfbad2e34f8b8786c6f68bb63d64 | 1 | short_answer | How many numbers have $$15$$ factors and are multiples of $$15$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Theorem of the Number of Factors of a Number"
] |
Subsets and Splits