dataset_version
timestamp[s] | queId
stringlengths 32
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stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 736d1bb4aa004960971db73d59909663 | 2 | short_answer | A file in the school bookshop costs $$70$$ pence. Jeremy has $$5$$ ten-pence, $$3$$ twenty-pence and $$1$$ fifty-pence coins in his wallet. In how many ways can he make up $$70$$ pence to pay for the file? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | 73e16b4d6b4148cd8d14bdc6e7150eb3 | 1 | short_answer | $$40$$ students want to travel to a small island within a great lake. If each boat can only fit $7$ people, what is the least number of boats needed for all the students to reach the island together? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 5a540f16cc654e8dadce8dec2e692dc0 | 1 | short_answer | What is $$11 -- 2 + 7 -- 4 + 2$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction"
] |
2023-07-07T00:00:00 | 994aeb7c561a42fe8347e558ec900f32 | 1 | short_answer | $${{(250250)}^{2}}-250249\times 250251=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | bf82b1b89b484ee5960960a7d950ca09 | 2 | short_answer | Aaron is older than Becky who is older than Caris. If the difference in age between Aaron and Becky is the same as the difference in age between Becky and Chris, and their sum of ages is $$60$$, How old is Becky? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple",
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | d446c52e4dbb4e51aceaff4c60dc5ab8 | 1 | short_answer | Mark stands in line and has $$16$$ people behind him, If there are a total of $$30$$ people in line, how many people are there in front of Mark? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of one Character in a Line"
] |
2023-07-07T00:00:00 | ac1c2a9c6937485ea8ffba2f93c05b4f | 1 | short_answer | How many digits are there from numbers $$1$$ to $$200$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | a5706681d10c49489b9cbe928880bbdb | 1 | short_answer | If a $4$-digit number $$\overline{9a8a}$$ can be completely divided by $$15$$, then what is $$a$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 9852339c36f84963a115452803677de2 | 1 | short_answer | Solve for $x$: $$\frac{x+2}{3}=1+\frac{x-1}{4}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 7194d8ece9df4cd49ccf1b51dff55042 | 0 | short_answer | The five digit number $$\overline{125J6}$$ is divisible by $$4$$. Find $$J$$ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
2023-07-07T00:00:00 | 252455d7397e4190b4b727c54849c01e | 1 | short_answer | $$5$$ similar tables and $$12$$ similar chairs cost £$$720$$. Each table costs £$$25$$ more than each chair. What is the cost of a table? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 9ad04db2b944413e9b7b20c98134596f | 1 | short_answer | $$4$$ apples and $$3$$ peaches cost £$$10$$. $$4$$ apples and $$6$$ peaches cost £$$16$$. What is the cost of each peach? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | a38e52eeb9e34e54a87285df19594d9a | 1 | short_answer | I think of a number. I then add $7$ and then multiply this by $6$. My answer is $66$. What was the number I thought of originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | d8016a78f9724496a543874862c8f889 | 1 | short_answer | Jane had $$32$$ ℓ more water than Audrey. If Audrey had $$177$$ ℓ of water, how many litres of water did both of them have altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"
] |
2023-07-07T00:00:00 | ba1cf976efc14128bab1463d61d8172d | 1 | short_answer | Given~$a\odot b=5a-2b$, if~$9\odot x=33$, what is $x$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | b06bcf32c5ce4534aa9ae601dd737c7a | 2 | short_answer | Calculate: $$0\times1^{2}+1\times2^{2}+2\times3^{2}+\cdots+23\times24^{2}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2)",
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers"
] |
2023-07-07T00:00:00 | 28dce32aa4a84544ae4a2373b615edc0 | 1 | short_answer | Work out $36 + 17 + 18 + 24 + 33$. | [
"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 | 6414fa3c36c949d8bc8d4375490aad90 | 1 | short_answer | $$476 \div 17$$ | [
"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 | 644a44bb704f4384a83cf940f7f6970c | 1 | short_answer | A cyclist spent $360$ minutes going up and going down the hill. The ratio of the time spent going up the hill to the time spent going down the hill was $5:4$. The speed of going up the hill is $10$m/min slower than the speed of going down the hill. By how far did the cyclist cycle in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 05109018bc434fdfa8dff3bea6fe10cd | 2 | short_answer | $$11$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 3c4b0bb759df46ac8dc162978d7d83b6 | 1 | short_answer | After $$6$$ years, Alice will be $$24$$ years old. How old was Alice $$9$$ years ago? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 8421a5213cd640929f9873c905812c37 | 2 | short_answer | Granny takes one a day of each of two types of tablet. One type of tablet is in packets of $25$ and the other type is in packets of $20$. She starts new packets of both on $1^{}\text{st}$ March. On what date will she next start new packets of both? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers",
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates"
] |
2023-07-07T00:00:00 | 04443e386f27447897840ea2ceacf48e | 2 | short_answer | Sharon has $$94$$ watermelons and $$138$$ pineapples. Every day, she will use $$9$$ watermelons and $$9$$ pineapples to make fruit juice. After~\uline{~~~~~~~~~~}~days, the number of pineapples left will be $$3$$ times of the number of watermelons left. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | f2a79e337470459580999ca824060e81 | 0 | short_answer | Six friends, each sent good luck cards to each other. How many cards were sent altogether? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition->Number of Handshake Problem"
] |
2023-07-07T00:00:00 | 863f091493be404bbbf1a3b6b11108a9 | 1 | short_answer | What is $3.6 \times 100$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 7ecb434f5d8b4685a1bf09ae7bb7ba8e | 1 | short_answer | SASMO 2019 Tom will be twice his age in 4 years from now. Three years ago, the sum of Tom\textquotesingle s and Jerry\textquotesingle s ages was 10. In how many years from now will Jerry\textquotesingle s age be doubled? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | c7d09eee09884180b22647b680abde83 | 1 | short_answer | Yun uses $4$ cars to transport $24.2\text{kg}$ of fruits. Each car carries an equal amount of fruits. Yang~uses $50$ trucks to transport $410\text{kg}$ of fruits.~Each truck carries an equal amount of fruits. What was the mass of the fruits that a truck carried more than a car? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 53ec9e4b9d804cd3a26e23b2cb281a3a | 1 | short_answer | There is a bus route, the bus leaves every $$35$$ minutes. Aiden wants to take the $$9:15$$ bus. He arrives the bus stop at $$9:22$$. How many minutes does he need to wait for the next bus? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | 594446f092204f07a8f1c0cebe891b21 | 1 | short_answer | There are $329$ days until my birthday. How many weeks is this? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 2fcfa373d34340dda08f178934a5be32 | 1 | short_answer | Eddie walks towards the mall from home at $$62$$ metres per minute. His brother returns from the mall at a speed of $$70$$ metres per minute at the same time. If they meet $$5$$ minutes later, how far is the mall from their house? | [
"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 | 7b68f177602a4cc584823135bed89664 | 0 | short_answer | $$$$Calculate.$$$$ $$252-(62-58)\times13$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d05b2b87366644bea5ba5fa990a4796c | 1 | short_answer | $\dfrac{5}{9}\times243$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | d6baa433c44047ebbc0a9cea630f8afa | 1 | short_answer | $46\times35=1610$. What is $161\div 46$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | c72580c4f08e4db9b41e5dae34b5ba80 | 0 | short_answer | $$39-(3x-4)=34$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 98919fdedf144aaf9b373ecd9d790e80 | 2 | short_answer | （AMC 2017 Question \#24） In this year of 2017, my family is $in its prime$: I am 7, my brother is 5, my mother is 29 and my father is 31. All of our ages are prime numbers. What is my father\textquotesingle{} s age the next year that my family is $in its prime$, when all of our ages are again prime? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers->Comprehensive Prime Numbers"
] |
2023-07-07T00:00:00 | 0284805b100e4942a4c70e5c0bda46ec | 1 | short_answer | The original price of a bike was $$800$$ dollars, it got a discount of $15 \%$ for Black Friday, and the price was raised for $15 \%$ after Black Friday, how much money does this bike cost now？ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 41a3c03d8eb44fc899606653983540eb | 1 | short_answer | Calculate: $${{3}^{2}}-{{4}^{2}}+{{5}^{2}}-{{6}^{2}}+\cdots -{{50}^{2}}+{{51}^{2}}=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | 706569a3dca842c19c29d93aa3f7c891 | 1 | short_answer | Work out: $0.2\times4+1.4+0.3$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals"
] |
2023-07-07T00:00:00 | 330ae3eaf06f40fc836f52dc7ad73cd3 | 1 | short_answer | $9321 -- 899$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | 4ba068e7720f40409cd5ae73716e4408 | 1 | short_answer | There were some lamp posts placed at regular intervals along a $50$m road. Jamie planted $3$ flowers between every $2$ lamp posts. If he planted $30$ flowers in total, what was the distance between every $2$ lamp posts? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Tree Diagrams"
] |
2023-07-07T00:00:00 | 8206be1ec41b408abd4e771355c66b57 | 1 | short_answer | There are $$7$$ circles on a plane. At most, how many different parts can you divide the plane into? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Inductive Recursion"
] |
2023-07-07T00:00:00 | fb9f310cf3714558a4a5507c2790883c | 1 | short_answer | Mr Copal had $$279$$ books. He gave $$15$$ books to each of his $$8$$ friends. He then packed the remaining books into a big box. How many books did he pack into the big box? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 2a5bc09f9e2444d0ad16b16b429e0669 | 3 | short_answer | The sum of Lora\textquotesingle s age and her mother\textquotesingle s age is 44. Her mother\textquotesingle s age is 3 times Lora\textquotesingle s age now. How old is Lora now? Lora is~\uline{~~~~~~~~~~}~years old. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 8b707c3e74aa4ca6aa566cfafbe81d3f | 1 | short_answer | Given that $$4^{5}$$ means $$4\times4 \times4 \times4 \times4$$, what is the unit digit of $$44^{2008}$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | e4a263cc4f734491a94e2dda982f4f21 | 1 | short_answer | Write as a number : ninety thousand and nine Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"
] |
2023-07-07T00:00:00 | b157ac35c09c46d1a0f9228b2a98a0c9 | 1 | short_answer | Three fifths of the adults at a party are male. There are $40$ adults at the party. How many of the adults are male? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 25c64c726c244d3aaeaa551352e609a3 | 1 | short_answer | Ben has $$17$$ sweets and Bob has $$10$$ sweets. How many sweets do they have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 26e8404f1e6e4ecdb0c65de9d6a345a6 | 1 | short_answer | Amy can walk from home to school past the audio shop, the book shop or the chapel. There are $$6$$, $$4$$ and $$5$$ paths from her home to the audio shop, book shop and chapel respectively. There are $$2$$, $$2$$ and $$3$$ paths from the audio shop, book shop and chapel to her school respectively. How many paths are there from home to school? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | acf3c89a437f4533b94fbc004a77b124 | 1 | short_answer | Adam, Ben and Carl are weighing themselves. Together, Adam and Ben weigh $$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}$$?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 5c9b212318c240b4a74ad8f4e844ef5b | 1 | short_answer | Natalie arrived at her friend\textquotesingle s birthday party at $$12.40$$ p.m. She stayed there for $$2$$ hours and $$40$$ minutes. What time did Natalie leave the party? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 2c92522309c445228b27f336d60a049f | 1 | short_answer | There are $495$ coins in a bottle. $\dfrac{1}{3}$~of the coins are £$1$ coins. $124$ of the coins are $50$p coins. The rest of the coins are $20$p coins. Work out the total value of the $495$ coins. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money"
] |
2023-07-07T00:00:00 | c15d8300682f4868979f9fe7293cdddd | 1 | short_answer | Multiply $$76\times9$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 42059b08dbed41ce877ac6d4245af7e1 | 1 | short_answer | Benson and Clive had a total of ＄$$705$$. Benson bought a calculator for ＄$$34$$. Clive bought a badminton racket for ＄$$63$$. They then had the same amount of money left. How much did Clive have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 517bec3444474e42bb9cb8c495766694 | 1 | short_answer | $$14.8-5.67$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 556f6176dffb4d75900eef7a7bd1baa6 | 1 | short_answer | Belle has $49$ ice-cream sticks. After Eddie gave her another $11$ ice-cream sticks, the two of them now have the same number of ice-cream sticks. How many ice-cream sticks did Eddie have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | a2fe9cf5c86e468186050a214e5271c5 | 1 | short_answer | There are $$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}$$ away from another, how long is the road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 007cfb31882a43b8a576d0a1be81a6b1 | 1 | short_answer | Calculate:198+298+398+498 | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | cc59b7c9a7804769b430b15dea0b2243 | 0 | short_answer | In Glasgow, the temperature is $$-7^{}\circ\text{C}$$ and in Exeter the temperature is $$12$$ degrees warmer. What is the temperature in Exeter? Answer:~\uline{~~~~~~~~~~}~$$^{}\circ\text{C}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 29173022662a4326b363f95bb7111d39 | 1 | short_answer | Calculate: $$\left( \frac{5}{11}+\frac{2}{27} \right)\times 11+\frac{5}{27}$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | f2d1624bd6914f419871977e97929aae | 3 | short_answer | $\tfrac{3}{4}$~of Chelsia\textquotesingle s money is the same as~$\tfrac{5}{6}$~of Brian\textquotesingle s money. If Chelsia has $$$24$$ more than Brian, how much money do Chelsia and Brian have altogether? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Equalizing products by Grouping"
] |
2023-07-07T00:00:00 | f3a732dd8b134a0d8668f613c0e04366 | 0 | short_answer | Find the total weight of $$6$$ boxes, each weighing $$1.3$$ $$\text{kg}$$. ~\uline{~~~~~~~~~~}~$$\text{kg}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | d10e094ae6b64c01873f9605961d4568 | 1 | short_answer | $11 + 8 -- 4 + 2 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction"
] |
2023-07-07T00:00:00 | 76eab0f31f2c401ea284400880158c26 | 2 | short_answer | （UK Latymer $11+$ Mathematics Sample Paper $2$） John and Kofi have $$25$$ coins between them. If John gives Kofi four coins, Kofi will have three fewer coins than John. How many coins does John have to start with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Problems Involving Sum and Difference with Two Variables->Direct Sum and Indirect Difference"
] |
2023-07-07T00:00:00 | 2de358aca892457597c6b256327bbab7 | 1 | short_answer | Jason has $983$mℓ of tea. Belinda only has $179$mℓ of tea. How much tea must Jason give Belinda such that they have an equal volume of tea? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"
] |
2023-07-07T00:00:00 | c47a6f5f7feb44a1a708cd7ee24c6d4f | 1 | short_answer | How many different natural numbers can be formed with the digits $$2$$, $$4$$, and $$6$$ without repeating digits? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 94caf5aef0e34fb6850eae1e6f450368 | 1 | short_answer | On planet X, there is a forest, home to some rabbits. There are some special rabbits. A normal rabbit has one head and four feet. A special rabbit has three heads and two feet. Altogether, there are 53 heads and 102 feet. How many rabbits (normal ones and special ones) are there in the forest? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | c2d38aa135914d7cbc85eacbe4abc34c | 1 | short_answer | If $$7$$ bananas cost $$98$$p, how much change would I get from £$$10$$ if I buy $$13$$ bananas? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | b9dc1e7c14884af2affa4cacaa7fb5a9 | 1 | short_answer | $$Calculate.$$ ~\uline{~~~~~~~~~~}~-16=18+2 | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 1e359fb023094a249a7e06543302f43c | 1 | short_answer | Find the value of this equation 100-99+98-97+96-95+94-93+92+\ldots\ldots-3+2-1 | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 82376facf64846dea0f32cd7690fcb86 | 1 | short_answer | Find the $500\text{th}$ digit after the decimal point in the decimal form of $$\frac{1}{70}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 635bb79136ff42d8a188a0bd46337917 | 1 | short_answer | Ayesha has some sweets. He gives $\dfrac{1}{6}$~of them to Neelesh. Neelesh immediately eats one of them. Neelesh now has $$4$$ left. How many has Ayesha got left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | b49aa6ce18de4e7e95ea0c909ef9340d | 1 | short_answer | The total weight of $$8$$ copper balls and $$9$$ iron balls is $$135$$ kg. The total weight of $$6$$ copper balls and $$3$$ iron balls is $$75$$ kg. What is the weight of $$1$$ copper ball? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | c0d39545ea18469395ac00e338169f45 | 0 | short_answer | Calculate the following and give your answer as a fraction in its lowest terms or a whole number. $3\div\dfrac{1}{3}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 6f08803f689f4c72bcdea50d636ea987 | 3 | short_answer | Calculate：$$\dfrac{\dfrac{1}{1\times 2}+\dfrac{1}{3\times 4}+\dfrac{1}{5\times 6}+\cdots +\dfrac{1}{19\times 20}}{\dfrac{1}{11\times 20}+\dfrac{1}{12\times 19}+\dfrac{1}{13\times 18}+\cdots +\dfrac{1}{15\times 16}}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Splitting Terms and Finding the General Term->Splitting Terms of Fractions"
] |
2023-07-07T00:00:00 | fb81c39a4a004c44a04415b1127e4172 | 1 | short_answer | $5\times8\times37\times2\times3=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | 4b71e5c9920b435b9041ce4896dba538 | 1 | short_answer | In two piles of candy, the ratio of gummy bears to lollipops is $$5:7$$. If $$120$$ pieces are added to each of the piles, the new ratio becomes $$4:5$$. How many pieces of candy are there in total now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Differences"
] |
2023-07-07T00:00:00 | ff3ca477695c441ca3e802ed3aff2147 | 1 | short_answer | Fractions in the formare $$\frac{a}{b}$$ created such that $$a$$ and $$b$$ are positive integers and $$a+b= 425$$. How many such fractions are there which are less than $$1$$ and which cannot be simplified further (that is to say, $$a$$ and $$b$$ have no common factors others than $$1$$)? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 3879585254c84c84980eeddc57632689 | 0 | short_answer | \textbf{$$n$$~}is the number where $$n\times5=4.5$$ \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | 8cf4df806e1a4f38b2163bf0c0f80fb2 | 1 | short_answer | Gilly has $$560$$ marbles. She puts them into three boxes, $$A$$, $$B$$ and $$C$$. She puts $$80$$ marbles in Box $$A$$. She puts twice as many marbles into Box $$B$$ than in Box $$C$$. How many marbles are there in Box $$C$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 1d7ff38273c84d93a9260643964e7030 | 1 | short_answer | David is $15$ stone. Andrew is $275$ pounds. If there are $14$ pounds in $1$ stone what is the difference between their weights? Give your answer in pounds. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | f7687594899c4a84936c2dc5acc1a17b | 1 | short_answer | Part of a number sequence is shown. $25, 28, 31$ If the last number shown is the $10^{\rm th}$~term in the sequence, what was the first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 582d4b5a26c541bc8d1fb60d2121ed94 | 1 | short_answer | $$24x-5\left( 3+x \right)=4$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | ab2b45088a334801819c6e6a9d94fab4 | 1 | short_answer | What is the sum of the following numbers? $$5+15+17+23+5+15+17+23+5+15+17+23=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fc1e6d4f69b04d27a7517c0eb6c4e22f | 0 | short_answer | Find the value of $$31+42+53+64+75+86+97$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 9dbeb15b0ccc44199b320299a1531c7e | 1 | short_answer | Calculate $$12101-2210$$ in the base $$3$$ number system. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"
] |
2023-07-07T00:00:00 | e83aa38155204c758ec3f3c943621ee1 | 2 | short_answer | Andy, Bella and Carl own a total of $82$ pounds. The money Andy owns is $5$ pounds less than $3$ times that which Carl owns, and the money Bella owns is $6$ pounds more than $5$ times that which Carl owns. Therefore, Bella has dollars. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Sum and Differences Problems with multiple Variables"
] |
2023-07-07T00:00:00 | a7abc8be2a334d6eaec3ea33bebffa38 | 1 | short_answer | What is $$50 \%$$ of $50 \%$ of £$3.20$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | b9e41291c02c4031a7bcdcb38cb3cafe | 1 | short_answer | Find the value of $$58\times 60$$ | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication of Whole Numbers->Multiplication of 2-digit Numbers->Written Calculation Involving Multiplication of 2-digit Numbers (with regrouping)",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers"
] |
2023-07-07T00:00:00 | 12eba26cbba04c40831d8de0d613bdcb | 1 | short_answer | I want to choose a list of n different numbers from the first $20$ positive integers so that no two of my numbers differ by $5$. What is the largest value of $n$ for which this is possible? | [
"Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving"
] |
2023-07-07T00:00:00 | 3d7dd83d87f844e58d9e560870e4d190 | 1 | short_answer | If one cake and two biscuits provide 450 calories and two cakes and three biscuits provide 800 calories, how many calories are provided by one biscuit? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Equivalent Substitution that cannot be Directly Calculated"
] |
2023-07-07T00:00:00 | 87af33f1b5884c4ea69e49e33d0a8d54 | 1 | short_answer | John\textquotesingle s age in $$8$$ years time is equivalent to his mother\textquotesingle s age $$20$$ years ago. How old was John when his mother is $$5$$ times his age? (Hint: Draw time line to find out the age difference first!) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 40f23dfb4c6944d6827e112692a2f4af | 2 | short_answer | Lily is taking a Maths exam. Each correct answer worth $12$ marks and each wrong answer worth $0$ mark. Lily answer $6$ answers correctly and $2$ answers wrongly, what is her average mark? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 457ec627f0894b55bd6bbb19ec3216ed | 1 | short_answer | Calculate $$\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}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | cf212f0a8ebe4fcbb9183e471f844eb7 | 1 | short_answer | There are $$44$$ pupils. Each of them has the same number of pencils. The total number of pencils they have is $$\overline{B1B}$$. How many pencils does each of them have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders"
] |
2023-07-07T00:00:00 | 5290a7a4297b46f79f02b35ba7b86bba | 1 | short_answer | In a classroom, Kevin wrote 30 more letters than Sara, and James wrote 40 more letters than Sara. Altogether, they wrote 160 letters. Find the number of letters Kevin wrote. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | c21adc6d12784b558ba6313332b0f960 | 0 | short_answer | What is the smallest number into which 4, 6 and 7 all divide exactly? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Multiple Numbers"
] |
2023-07-07T00:00:00 | 40292969e8e14e9cbeb87311d97671dc | 2 | short_answer | A number $M$ when divided by $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$, $$8$$, $$9$$ and $$10$$ gives non-zero remainders. If these remainders are all different, what is the smallest possible $M$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"
] |
2023-07-07T00:00:00 | 8e019855e907491ab5c9eee5d32827fc | 1 | short_answer | Tom and William are running towards the opposite directions around a circular runway. They start from the same place. Tom completes $$1$$ lap every $$24$$ minutes. William completes $$1$$ lap every $$8$$ minutes. How long does it take for them to meet for the first time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Circular Runway"
] |
2023-07-07T00:00:00 | 9eed42cf78144b53839062fc748a2a6b | 1 | short_answer | Teacher Angel has $$37$$ apples. She wants to arrange them into container so that she can keep them neatly in the fridge. Each container can hold $$4$$ apples. What is the least number of container teacher Angel need to keep all the apples in the container? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 071a1796963f4c3b964229a2d8a43b31 | 1 | short_answer | Romily and Reema are collecting money for charity. Romily collects ￡$$10$$ more than Reema. How much did Reema collect? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
Subsets and Splits