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timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringlengths 6
2.89k
| knowledge_point_routes
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | ba7ace62e80a46f8982696e6de196708 | 1 | short_answer | Calculate $$158\times 23$$ | [
"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 | 5e0d1fe1598b4b41acce8ca7d7a1255b | 1 | short_answer | A pineapple weighs $$650$$g more than an apple. $3$ pineapples and $4$ apples weigh $5450$g altogether. How heavy is a pineapple? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | 2174c9eb7abb4f71acfc17373e2a150d | 0 | short_answer | Find the smallest whole number that has the following properties. When the number is divided by $$3$$ the remainder is $$2$$. When the number is divided by $$4$$ the remainder is $$2$$. When the number is divided by $$5$$ the remainder is $$2$$. When the number is divided by $$7$$ the remainder is $$0$$. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 33fa644455fd44ab8c76126614f2a54f | 2 | short_answer | Find the value of the following expression. $$ 520+(180-320) $$ =~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | 91805eebef62437a8beff8b33e922e50 | 1 | short_answer | A certain positive integer has exactly eight factors. Two of these factors are $$15$$ and $$21$$. What is the sum of all eight factors? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | f0fc9e28a3cd44f985074b04f9b45f45 | 1 | short_answer | A ten digit number is formed using the digit from $0$ to $9$ once each. For this ten-digit number, the first digit is divisible by $2$, the number formed by the first two digits is divisible by $3$, the number formed by the first three digits is divisible by $4$, $\dots$ the number formed by the first nine digits is divisible by $10$. Given that the leftmost digit of this number is $8$, find the number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 68623df2f94648e0b20904cbcc43ed94 | 1 | short_answer | Belinda has 36 tomatoes. After she gave 7 tomatoes to Matthew, they will have the same number of tomatoes. How many tomatoes did Matthew have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | ac5194c88a70467cad49c435e839d329 | 1 | short_answer | A machine can assemble $$10$$ televisions per day. If its efficiency is increased by $$50 \%$$, how many televisions can it assemble in $$1$$ day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | cd2c86b449f14cc58b97e4c02a818e7c | 2 | short_answer | When each of the numbers $$2012$$ and $$1274$$ is divided by an odd 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 | d912f4012f844228bafad624ceda9c23 | 0 | short_answer | There are $$7$$ rabbits and ducks altogether in Mr Tan\textquotesingle s farm. The total number of legs of all the rabbits and ducks is $$20$$. How many rabbits are there in the farm? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | 836113e2b5c3443e9bf7aa438b3388f2 | 2 | short_answer | Betty and Abby are playing a game. They take turns writing numbers from $$1$$ to $$52 $$ on a blackboard. Each person can only write $$1$$, $$3$$, $$4$$ or $$6$$ numbers at a time, and each number can only be written once. The person who has no more numbers to write loses. Should Betty go first or second in order to win? What strategy should she employ? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy"
] |
2023-07-07T00:00:00 | c199e1915ab2422a868443394b9ff1a6 | 1 | short_answer | Find the smallest number which leaves a remainder of $$1$$ when divided by $$5$$ or $$6$$ or $$7$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 9005f1b685f54bf5852f34fd3b024fd5 | 1 | short_answer | Hongjiang had $$630\text{ml}$$ of orange juice. He gave $$\frac{5}{7}$$ of it to Grace and $$\frac{1}{9}$$ of the remainder to Evelyn. How much orange juice did he have left?~\uline{~~~~~~~~~~}~$\text{ml}$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 64fc86fe03b44fa5a15210295474c594 | 2 | short_answer | What is the last digit of $$4^{2009}+6^{2010}$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences",
"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 | 85f18b88abb847d2ac8ed05a32300b15 | 1 | short_answer | There are plenty $$2$$-gram weights and $$5$$-gram weights. How many different ways are there to make a total of $$63$$ grams? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations"
] |
2023-07-07T00:00:00 | bf508186ac3b4867b029488d3fe8ef88 | 2 | short_answer | There is an arithmetic sequence. The sum of first 8 terms is 32, and the the sum of first 22 terms is 44. What is the sum of first 15 terms? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 62087bcec6884796a1c5b9acd6d5f3a0 | 1 | short_answer | The average height of six players in a basketball team is $150$ $\text{cm}$. Given that the average height of four of them is $2$ $\text{cm}$ lower than the average height of the team, find the average height of the other two players. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 5be13676699942f49a395268e1f5d8e8 | 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 full and $18$ tons of water are from $A$. If only $B$ and $C$ are turned on, the pool can be filled from full 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 | 4fbbbe33f9d643a79e9eec4d1694212f | 3 | short_answer | Woody organised a quiz night in the toy room. He asked $25$ questions. For each correct answer you gained $4$ points. For each incorrect answer you lost $2$ points. For each question you did not attempt you scored $0$ points. Rex answered all but one of the questions and got a score of $66$ points. How many correct answers did he have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Deducting Marks"
] |
2023-07-07T00:00:00 | ace93f555d35415e8fd4bad294887d9e | 2 | short_answer | Calculate: $$1+2+3+\cdots +19+20+19+\cdots +3+2+1$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 3ad80911c83e482091540057163573aa | 1 | short_answer | There is a word "MATH". If we paint these 4 letters seperately using red, yellow, blue, green and purple 5 colors and teh color of each letter is different. How many different ways are there to paint? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Coloring Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 08e324d694994846a1553d5b65da495f | 3 | short_answer | The digits of Alberta\textquotesingle s age are interchanged and $1$ is added. The answer is half of Alberta\textquotesingle s present age. How old is Alberta? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"
] |
2023-07-07T00:00:00 | 42372c8fe434451ba8bf5bb0da429399 | 1 | short_answer | During lunchtime, the canteen is offering meatballs to students. Every student gets the same number of meatballs, then there are $20$ meatballs left. Later, another student comes to the canteen and he gets the same amount of meatballs just like the others, now there are only $10$ meatballs left. How many meatballs does every student get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems"
] |
2023-07-07T00:00:00 | 4ee96f3c14a241f197933544bbe8db53 | 1 | short_answer | Increase $9.32$ by~$\dfrac{1}{10}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | c52c9bc9f59d4cbf824806accfda1f41 | 1 | short_answer | Andrew was working on his homework. On the $$1^{\text{st}}$$ day, he completed $$7$$ more than half of all the questions. On the $$2^{\text{nd}}$$ day, he completed $$5$$ fewer than half of the remaining questions. On the $$3^{\text{nd}}$$ day, he finished the remaining $$23$$ questions. How many questions were there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | a8688d554c69475692b7b0ed84cdf3c9 | 0 | short_answer | Which is larger $$\frac{4}{25}$$ or $$0.17$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | 9eca731a85d34c5c84ce4315a5438484 | 2 | short_answer | Adam filled a jug with 1 litre of water. He used the jug to pour 200 ml into each of 3 cups. How much water was left in the jug? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | c419ce5358864ba09eea0ae91783b76f | 1 | short_answer | There are $$300$$ roses and daisies in the park now. If the planter plants the same number of roses and daisies every month, there will be $$280$$ roses and $$180$$ daisies in the park in a few months. How many roses are there in the park originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 3e243b1122134f85813f8fa4e13d7976 | 1 | short_answer | A sequence of numbers is formed by always adding the same number to get the next number in the sequence. The $10^{th}$~number in the sequence is $23$ and the $15^{th}$~number is $38$. What is the $12^{th}$~number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 680347d9be334298803934506acbea08 | 1 | short_answer | Work out $$221 \times 8$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 8a82b904fe8845d7ace8f6031f51ff8b | 1 | short_answer | There are $$250$$ lamps in a room, numbered with the natural numbers $$1$$, $$2$$, $$\cdots $$, $$250$$, and each light has a switch. At the beginning, all the lights are off. There are $$250$$ individuals who enter the room in turn. The $$1st$$ person enters the room, presses all the switch of the light , and then he leaves. The $$2nd$$ person enters the room, presses the switch for the light numbered in multiples of $$2$$, then he leaves. So on until the $$250th$$ person enters the room and presses the switch for the light number in multiples of $$250$$. After the $$250th$$ person left the room, how many lights were still on in the room? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | 2556a70133494b14a2fdfa3f1d8a534d | 1 | short_answer | Lizzie gets $$20 \%$$ on a $$10$$-problem test, $$80 \%$$ on a $$20$$-problem test and $$90 \%$$ on a $$30$$-problem test. If the three tests are combined into one $$60$$-problem test, what percentage is her overall score? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | 9f7d5af3fb5845e58bbb24c28e44207b | 1 | short_answer | Jack plan to lay the floor of his living room with square bricks, if he uses square bricks with a side length of $$6$$ decimeters, he will need $$80$$ of them; if he uses $$64 cm^{2}$$ brick instead, how many bricks will he need? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 937225b6b7ac470ab01b68f8a4389aa8 | 2 | short_answer | Two bottles of water and three small bags of fruit cost a total of £$$2.55$$. If a bottle of water costs $$15\text{p}$$ \textbf{more} than a bag of fruit, what is the cost of a bag of fruit? | [
"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 | 9c96976b9a0644528200db1a240ce22f | 2 | short_answer | What is the greatest $$6$$-digits number, which is a multiple of $$11$$, can be formed by $$1$$, $$3$$, $$4$$, $$5$$, $$7$$ and $$8$$ without repeating digits? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 77bc73140f934ab28b377454635f30a4 | 1 | short_answer | Calculate $7 + 8 \times 3$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 8ee614cba3ae409b923c2260cf36ff3e | 1 | short_answer | There are $$500$$ pupils at Lily\textquotesingle s school. There are $$30$$ more girls than boys. How many girls are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 8da16cb231e141899db831c841592f4e | 0 | short_answer | Explain why $91$~is not a prime number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Judging Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | bf9c9c142f014e25baff17cc266a571a | 2 | short_answer | Students from a primary school are arranged in a square array with equal row spacing and column spacing on a playground. The outermost layer of the array is full of boys, and its adjacent inner layer is full of girls, then boys, then girls, and so on until the innermost layer is reached. If there are $31$ more boys than girls in total, please find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 00bedbbff96a4c41a6d2dc74e09c2bbc | 2 | short_answer | Find the number of digit of $$A$$ if $$A=\underbrace{4\times 4\times 4\times \cdots \times 4}_{{{2018}^{\prime }}s}\times \underbrace{25\times 25\times 25\times \cdots \times 25}_{{{2018}^{\prime }}s}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->The Relationship between Exponents and the Number of Factors"
] |
2023-07-07T00:00:00 | 5b4ba0d6146248b28e891e03399c5b95 | 1 | short_answer | The length of Ribbon $$A$$ is $$10\text {cm}$$. Ribbon $$B$$ is five times as long as Ribbon $$A$$. What is the total length of Ribbon $$A$$ and Ribbon $$B$$?~\uline{~~~~~~~~~~}~$$\text{cm}$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 209362616733426d8b75bc739a42bd1c | 1 | short_answer | In the England tiddly-winks squad there are five players. A team of three is to be selected to compete. How many different teams of three are possible? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | e66987ea1869420495aacf4803e1a0e6 | 2 | short_answer | Jazreen bought a sofa at a Great Sofa Sale. She later sold it at $$ $6500$$ at an exhibition. She made a profit of $$30 \%$$. In another scenario, if the profit made from the sofa was $$ $5000$$ instead, what would her percentage of profit be? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 2046f9901ec645f3b15da0905103e4b3 | 2 | short_answer | Mr. Aziz had some apples. He sold $$\frac{1}{5}$$ of the apples on Monday and $$80$$ apples on Tuesday. ln the end, he was left with $$30 \%$$ of the apples he had at first. How many apples did he have in the end? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Properties and Applications of Number Bases->Mixed Operations of Number Bases",
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Word Problems Involving Fractions and Percentages->Finding a Part Given the Percentage and a Whole"
] |
2023-07-07T00:00:00 | 928d90a169904ea2a45144f88db5fc41 | 1 | short_answer | If we want to distribute $$10$$ identical glass balls into $$3$$ piles with different numbers in each pile, but each pile has at least $$1$$ ball, how many different ways of distribution are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers"
] |
2023-07-07T00:00:00 | 1b6cda7ee5184882bed20314b0c55e5b | 1 | short_answer | How many ways can we write the number 14 as the sum of three differernt positive numbers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 4ae3195333ce44baae2440d899e42e7b | 2 | short_answer | Danny and Emily are in a queue and Emily is directly behind Danny. There are $25$ people in front of Emily and 16 people behind Danny. How many people are there altogether in this queue? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Two Characters"
] |
2023-07-07T00:00:00 | d4cf12e04703450586eb3ad6f4fbf86b | 1 | short_answer | There are seven consecutive even numbers such that the fourth number is larger than one$$-$$third of the sum of the first and seventh numbers by $$6$$. What is the sum of these seven numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable",
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers"
] |
2023-07-07T00:00:00 | fd400a9b34ea45bab56f191197ce87a7 | 1 | short_answer | A piece of wood $52 \text{cm}$~long is cut into \textbf{\uline{two pieces of equal length}}. How long is each piece? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | cab8adbf9a644688a8392376fee0a725 | 2 | short_answer | Mrs Tan sold $$200$$ cookies in a day. She sold $$\frac{1}{5}$$ of the cookies in the morning and $$\frac{3}{4}$$ of the remainder in the afternoon. How many cookies did she sell in the afternoon? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | ea3cc6d4b3a84e5bafa81bda550dd59c | 0 | short_answer | Change $1.5$ kilometres to metres. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | 95cc2a35844f4793bec67feb3c34b55a | 1 | short_answer | The average of $9$ numbers is $140$. One of the numbers is $180$. What is the average of the other $8$ numbers? Below is Fred\textquotesingle s working. $140 + 180 = 320$ $320\div8= 40$ The average of the other $8$ numbers is $40$. Is Fred\textquotesingle s answer correct? If not, what is the correct answer? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 1fc13706bdfd4125b1f46f271923f69c | 1 | short_answer | Gardener Ben has twice as many purple orchids as yellow orchids and $$3$$ times as many yellow orchids as white orchids. There are $$38$$ red and white orchids. If $$28$$ orchids are red, how many orchids does Gardener Ben have in his orchid garden? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | a69442f9714442b29511db3b6b5cef94 | 1 | short_answer | A school purchased some red, blue and green whiteboard markers. In total, the school purchased twice as many red as blue markers and $45$ more green than blue markers. Given that the school purchased $80$ blue markers, how many markers did the school purchase in total? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 40e27d47a03d4eed83ff6c5ccbbd0c12 | 1 | short_answer | Trees are planted on two sides of a $$45$$-meter-long highway every $$9$$ meters. Both ends of the highway have trees planted. How many trees are planted in total? (The width of the tree is negligible). | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | c95e959b4299436693470a7a54149f3c | 1 | short_answer | Write down the $$20\rm th$$ odd number. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Lucas Sequences",
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers"
] |
2023-07-07T00:00:00 | 6a792aa33daf4ec4a06273453da47af8 | 1 | short_answer | In a Formula $$1$$ car race, a Ferrari driver started th e last place. However, throughout the race, the Ferrari driver overtook $$5$$ other cars and finished in second place. How many cars were there in the race? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 6ddb6579408f43569d88970148692882 | 1 | short_answer | Johnny removed $$194$$ rings from a box. Amber removed $$5$$ times as many rings as Johnny did from the same box. There were $$65$$ rings left in the box in the end. How many rings were there in the box at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | ad1785cf47534eb79f57a2988c26b792 | 1 | short_answer | Eddie is $8$ years old this year, and Mike is $48$ years old this year. Find Mike's age when Eddie is $18$ years old. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | fe2f6c6e96c74d368dbe56b437d7dbc0 | 1 | short_answer | Lily and Amy went to the bookstore together. Lily bought a book for $$15.99$$ dollars which is $$8.01$$ dollars cheaper than the book Amy bought. How much did they pay in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | 8773123676b246e1b04d41c383be9480 | 1 | short_answer | What is the interior angle of a regular $$9-$$sided polygon? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 8e8f9986b2ec4a658422dc4b646e598a | 1 | short_answer | The last $4$ digits of the sum $$5+55+555+\cdots +\underbrace{55\cdots 5}_{20"5"s}$$ is | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | b985fa2059844dd9846e790e911a7a78 | 1 | short_answer | It takes $2$ men $3$ days to build a wall. Assume that all men work at the same rate all the time and take no breaks! How long would it take $y$ men to build $x$ such walls? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | bacacf9e4d6344c08c919cdfcd0dd171 | 1 | short_answer | There are $200$ people in a cinema. $25 \%$ of the people are men. $\dfrac{1}{5}$~of the people are women. The rest of the people are children. Work out how many children are in the cinema. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 2aa5fb221cec4c6f9ef10acc189afca8 | 1 | short_answer | (UK John Lyon School $11+$ Entrance Examination Question $$6$$) A menswear shop sells $7$ times as many white shirts as checked shirts. $72$ shirts are sold in total. How many white shirts are sold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Two Variables"
] |
2023-07-07T00:00:00 | 3df0c3dde5e243a9ab9d9c0623518d14 | 2 | short_answer | A positive whole number less than $$100$$ has a remainder of $$2$$ when it is divided by $$3$$, a remainder of $$3$$ when divided by $$4$$ and a remainder of $$4$$ when divided by $$5$$. What is the number? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Difference"
] |
2023-07-07T00:00:00 | 0b0e2b60afe9443a983a2f0c179e8cb6 | 1 | short_answer | Fatimah thought of a $$3$$-digit odd number. The number was divisible by $$9$$. The digit in its tens place was divisible by $$4$$. What was the greatest possible $$3$$-digit odd number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders",
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"
] |
2023-07-07T00:00:00 | 60493d0a930546ecbdb78a1d7c6e8fc5 | 1 | short_answer | Cindy does $$16$$ pages of algebra problems in $$2$$ days. How many pages in total does she do in nine days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | d95ed3ffcb4c4e158e87923bbb18dbc2 | 0 | short_answer | What is the value of the following? $$72+60+48+36+24+12$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 124505e7801f407bbb2c337fd03e40c0 | 2 | short_answer | Study the pattern below. Find the value of (insert pic). | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures"
] |
2023-07-07T00:00:00 | a768a55edb6b4c729273848fbd84119b | 1 | short_answer | There are $8$ white, $7$ red and $5$ green balls in a bag. If you are blindfolded and asked to draw a certain number of balls in order to ensure $$2$$ balls of the same colour are drawn, at least how many times should you draw from the bag? | [
"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 | 36b9783bc7c540cd8a6f80ea8164926c | 1 | short_answer | In the number sentence below, what number is the $$\square$$? $$ \square \times 6 = 42 $$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | f18dbb07c7d948eb81cecdc6adc6657e | 1 | short_answer | You bought a bike for $1,000$ dollars. The bike depreciates at the rate of $12 \%$ per year. Find the value of your bike after $8$ years. ($0.88^{8} \approx 0.3596$, $1.12^{8} \approx 2.4760$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 3bf359500b04447eb133eb82ac3cdcd6 | 1 | short_answer | There are 390 children at a summer camp. One-third of the number of girls is equal to one-half of the number of boys. How many girls are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | ae2892dc2b454550bff74338556e93c8 | 2 | short_answer | A multiple of 5 is between 6 and 54. It is also one less than a multiple of 7. Find that number. | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 39baf06fc25b46b29d10b9191c1761d0 | 2 | short_answer | I am thinking of a number less than $60$. When my number is divided by $4$. it gives remainder $3$. When my number is divided by $5$, it gives remainder $4$. When my number is divided by $6$, it gives remainder $5$. What number am I thinking of? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder"
] |
2023-07-07T00:00:00 | 99d84eff6ac64f09ab3bcfb4983bcdfc | 3 | short_answer | Let $$S\left( n \right)$$ denotes the sum of the digits of $$n$$ for all positive integers $$n$$. Find the minimum value of $$m$$ if $$S\left( m \right)=5S\left( m+1 \right)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | c53e746b357140a38e789d2b4661f42f | 2 | short_answer | Justin spent an average of $300$ dollars per month from January to April, $250$ dollars per month from May to July, $750$ dollars in total from August to September and $300$ dollars per month from October to December. What was the average amount of dollars he spent in each month from January to December? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 1f292e7a93ed4fffaa057286ebde0e3e | 1 | short_answer | Theo thinks of a number and finds that three quarters of it is $$24$$. What was the number he first thought of? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 0ac355b21f2a426fa5a12babd8ae8f58 | 1 | short_answer | In an orchard, every five days $$24$$ kilograms of fruit will be picked. Given that the amount of fruit picking every day is the same, how many kilograms can be picked over a period of $$8.5$$ days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | 13972553585945499780bd1f9de3edbb | 2 | short_answer | At time $t=0$ hours a tank is full of water. Water leaks from the tank. At the end of every hour there is $2 \%$ less water in the tank than at the start of the hour. The volume of water, in litres, in the tank at time $t$ hours is~$V_{t}$ Given that $V_{0}=2000$ $V_{t+1}=kV_{t}$ write down the value of $k$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | e6c4ff2e43db4f879b08144db3336f68 | 1 | short_answer | When Greg started to climb Ben Nevis, the temperature at the bottom was $$17$$ degrees. At the top, it was $$-2$$ degrees. What was the overall drop in temperature as he climbed up the mountain? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Completing an Equation According to Pictures (Two variables)"
] |
2023-07-07T00:00:00 | 978a2a1cb0b648789d46ea37337fec80 | 2 | short_answer | Tom is 10 years old now. Father says :" when you reach my age, I will be 70 years old." How old is father now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 67e73a7f1c6c4c4e9ba62435f2be80d4 | 1 | short_answer | There are $$400$$ passengers on an aeroplane. $$\frac{9}{20}$$ of the passengers are men. $$30 \%$$ of the passengers are women. The rest of the passengers are children. How many children are on the aeroplane? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | f0a5dbe6de374eba85a44510eb9aa5ad | 2 | short_answer | A primary school has 400 students and they each have one vote for a school captain. They voted for Jordan, Evie and Emily. Jordan got 3 times as many votes as Emily. Evie got 20 fewer votes than Jordan. How many votes did Evie get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 895c80e1252f488aa0bcc6bfe68a22ba | 1 | short_answer | Jeff catches a train from Bath to London at $$0735$$. The journey takes $$1$$ hour $$35$$ minutes to reach London. Jeff then takes $$40$$ minutes to walk to work. At what time does he arrive at work? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 5b740c87653c43258c0586d8f12663d4 | 3 | short_answer | A natural number $N$ is less than $$200$$. If $N$ is written in base $$4$$, the sum of the digits is equal to $$5$$. If $N$ is written in base $$6$$, the sum of the digits is equal to $$8$$. If $N$ is written in base $$8$$, the sum of the digits is equal to $$9$$. What is/are the possible value(s) of $N$ it it is written in base $$10$$? Answer:~\uline{~~~~~~~~~~}~ | [
"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 | afcd43f8aadd48d3b3b70d1cd4402d8c | 1 | short_answer | How many different three-digit numbers can be formed with the digits $$0$$, $$2$$, and $$3$$ 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 | f5736677dc6940b8a6a9e5d768b339cf | 1 | short_answer | Six hotdogs cost £$$1.10$$. How much would it cost to buy $$12$$ hotdogs? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | b85bc56d0f9b4a388b112f1d1c98b5ac | 1 | short_answer | How many bags of crisps at $16$p each can I buy for $£2$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division"
] |
2023-07-07T00:00:00 | 2ff378394a154043a3ef7f34cd20ed7b | 1 | short_answer | Five-digit number $$63\square 25$$ can be divided by $$45$$. What digit should be filled in the $$\square $$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | c3b73f89dc164b2c8290804ecfee10f2 | 1 | short_answer | Work out $8.3\times40$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 3a737e87377f45d6b533c3df64a44d83 | 0 | short_answer | Chip and Dale had some acorns. After Chip gave $$14$$ acorns to Dale, they had the same number of acorns. If they had $$124$$ acorns in total at first, how many acorns did Chip have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"
] |
2023-07-07T00:00:00 | 98497b9ada5a4cf096e251a78f90e4f5 | 1 | short_answer | Lucas draws eggs in the Easter Day. He draws $8$ red eggs and $7$ more yellow eggs than red eggs. How many eggs does he draw in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fd972a8b8be9487fa73a04079ced2d12 | 1 | short_answer | There are $$6$$ same fiction books and $$2$$ same comic books in a bookshelf. How many different ways are there to arrange them in a line? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 64f1d8eb28744f888d7b31370fa44497 | 2 | short_answer | I am thinking of a number. It is less than $100$. It is even. It is a square number. It is a multiple of four and a multiple of three. What is the number? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "
] |
2023-07-07T00:00:00 | 005dea19a47e4533b68eed3a0f0b497c | 1 | short_answer | The sum of some prime numbers (hint: the numbers can be the same) is $$51$$. At least, how many prime numbers are there? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | ff3f13e0f5834b50bd1c146b2310996b | 1 | short_answer | A $$2$$-digit number has a remainder of $$2$$ when it is divided by $$4$$. It also has a remainder of $$2$$ when it is divided by $$5$$. Find the smallest possible $$2$$-digit number. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | e8a6833cb7f04cedbeaf3a2156064cdf | 1 | short_answer | Calculate the following answer using long division: $85\div5=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
2023-07-07T00:00:00 | 40c82361e0c74a8ea2b45cd4b91a81ca | 1 | short_answer | A shop sells $$\text{CD}$$s for $$\text{x}$$ pounds each. Darren buys $$8$$ of these $$\text{CD}$$s. What is an expression, in terms of $$\text{x}$$ for the total cost of $$8$$ $$\text{CD}$$s? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"
] |
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