dataset_version
timestamp[s] | queId
stringlengths 32
32
| difficulty
stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 7e911c176e49479e9ed116f42644288d | 1 | short_answer | Min Ho deposited $$ $20 000$$ into a bank at the beginning of the year. The annual simple interest for depositing money into the bank was $$5 \%$$. How much did Min Ho have in the bank at the end of $11$ years if he did not take out any money from the bank? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | f12b69acb17a43e28c14160e54423ddd | 1 | short_answer | $$\frac{3}{4}+ \frac{3}{4}+ \frac{3}{4}=1+\square \times \frac{1}{4}$$ What is the missing number in the box? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"
] |
2023-07-07T00:00:00 | fe146e5b026340f9924ffd3736d5162b | 1 | short_answer | There are 20 terms in an arithmetic progression and their sum is $$560$$. Find the smallest term if the common difference of the arithmetic progression is $$2$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 4b5a108e7b29463283a0121b8eff4ee7 | 2 | short_answer | A worm is staying at the bottom of a well with a depth of $$8$$ metres. If it climbs up $$3$$ metres in the daytime and slips down $$2$$ metres at night, which day will it climb up to the ground? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 24494b59b3a84f199458f505e96beab3 | 1 | short_answer | Eddie bought a story book. To finish reading the book, he read $25$ pages per day in the first four days, $40$ pages per day in the following six days and $80$ pages in total in the last five days. How many pages on average did Eddie read per day? | [
"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 | 3dcbd6c48bb44952b98d8cdbb7804567 | 1 | short_answer | Penny is preparing a birthday gift for her brother and she decides to give some toys to him since the amount of his toys is $$10$$ less than her. After she gives away the toys, she still has $$14$$ toys and her brother has $$12$$ toys in total now. How many toys did her brother have originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | ecd90328d44a498ab3c19fbbded322fc | 1 | short_answer | Mrs Tan baked some chocolate, strawberry and vanilla cookies. She baked $54$ chocolate cookies and $12$ more strawberry cookies than chocolate cookies. Given that Mrs Tan baked thrice as many vanilla cookies as chocolate cookies, how many cookies did she bake altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 50bfc99c8d774fb4a0ecaeddfbae7daf | 0 | short_answer | Jenny is counting birds on tree $A$ and tree $B$. On tree $A$, there are $$14$$ birds. The number of birds on tree $B$ is $$7$$ more than that of birds on tree $A$. How many birds are there on the two trees in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 590987a303104728994dd0da7fd3edb0 | 1 | short_answer | Jason thinks of a number. When the number is divided by $$4$$, the remainder is $$3$$. When the number is divided by $$5$$, the remainder is $$3$$. When the number is divided by $$7$$, the remainder is $$5$$. When the number is divided by $$11$$, the remainder is $$9$$. What is the smallest number meeting the requirements? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem"
] |
2023-07-07T00:00:00 | 18e49347b54c42d49dfd7851649db755 | 1 | short_answer | Calculate | [
"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 | b61f2c67d5474cefa523298e7944c309 | 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 | 3b73a77f7c8e486d98024f7782b84098 | 1 | short_answer | Compute the following series. $$1+2+3+4+\cdots+48+49+50$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 6c8cdbe801664deaa9cc1f055549ee16 | 1 | short_answer | $$3588\div13$$ | [
"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 | a4df0cfdb4324df6bf44b5accd085d76 | 1 | short_answer | There are $$52$$ cards in a complete deck of poker cards. The cards have $$4$$ suits (diamonds, clubs, heart, spade) and each suit consists of $$13$$ cards. Tom draws the cards without looking. How many cards must he draw from the deck to be sure that he has $4$ cards of the same suit? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 4a2049898e2f4dcb959012b7515613ac | 1 | short_answer | Calculate: $26$ + $9$ + $14$ + $21$ =~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 4ada2fc5ea7044e8883b8b41373103ba | 1 | short_answer | A concert hall has sold $$60 \%$$ of its tickets for a particular night. $$28$$ tickets remain unsold. How many people can the concert hall hold in total? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 2eb3b3989afb45418447f85937aa1224 | 1 | short_answer | Hayden saved $ $$1420 and Mitchell saved $ $$505. After they each spent an equal amount of money, Hayden had 4 times as much money as Mitchell. In dollars, how much did each of them spend? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 1404b37a858c4a309f7a557d011e187e | 2 | short_answer | One-quarter of a number is 15. What is two-thirds of that number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | a4dc96d97cbd45ada42d2e9d64c14fe0 | 2 | short_answer | At a party,~$\dfrac{3}{7}$~of the people were adults and the rest were children.~$\dfrac{3}{8}$~of the children were boys and the rest were girls. There were 45 girls. How many people were there at the party altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 22ad17f448d649e0b1fe57f02fb19f28 | 1 | short_answer | Jim had $5$ two-dollar notes and $7$ fifty-cent coins. He bought a file for $$$11.95$$. Now, he wants to find out how much money he has left. Below are his workings. $5 \times$ $$$2$$ = $$$10$$ $7 \times$ $$50$$¢ = $$$350$$ $$$350$$ + $$$10$$=$$$360$$ $$$360$$ - $$$1.95$$ = $$$165$$ He concludes that he has $$$165$$ left. Is Jim correct? If not, circle out his errors and find the correct answer. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | f2d20571c7e14687b51b0f2273c1a1e6 | 1 | short_answer | What is the sum of all the numbers from $1$ to $100$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | f8a9831c64444874a7a022c43dcf9b19 | 1 | short_answer | Mr Raju sold $$2200$$ packets of milk on Saturday. He sold $$435$$ fewer packets of milk on Sunday. How many packets of mik did he sell altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 305c7d5b598d4dd28cdaf101e7ead5d7 | 1 | short_answer | A snail wants to climb out of an $$11-$$metre burrow. It climbs up $$3$$ metres during the day and slides down $$1$$ metre at night. Exactly on which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 7d59e89e4b054b118a94d4c74670905c | 2 | short_answer | There are $$18$$ pupils in a hall. How many ways can $$3$$ pupils be seated in a row? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations "
] |
2023-07-07T00:00:00 | 01cf6f9c69e4458a8b94a0b745d2cc7d | 1 | short_answer | There are $$30$$ ginko trees planted on one side of the school path, and the school plans two willow trees between every two ginkgo trees. How many willow trees are there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 186459d1a5bc465cae1639d4f60e5ff7 | 1 | short_answer | $$10 - 2=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | eec2a2b1d8c14700926c3b02af68e739 | 1 | short_answer | A ship travels at a speed of $$28$$ km/h in still water. The speed of the current is $$3$$ km/h. How long will it take the ship to travel $$150$$ km upstream in the Grand Canal? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Travel Word Problems of Boats",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 3bb33463238344c0b0c5e15f79be1c35 | 1 | short_answer | Before going on holiday, Andrew finds that he and Brian have £$40$ holiday money between them and that he and Christopher have £$37$ between them. Christopher finds that he and Brian have £$25$ between them. How much do the boys have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | b25a759f5a124329b59f7caa09995681 | 1 | short_answer | Adam, Ben and Carl are weighing themselves. Together, Adam and Ben weigh $$102\text{kg}$$ Ben and Carl weigh $$97\text{kg}$$ Adam and Carl weigh $$93\text{kg}$$ What is their total weight in $$\text{kg}$$? Answer~\uline{~~~~~~~~~~}~kg | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | cb41cb4b2a104da19631ca6cf97368fb | 1 | short_answer | Find $x$ if $5x -- 4 = 26$ | [
"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 | d26417287aa54f1a81818d3f38ddf3b7 | 1 | short_answer | Leo bought a bowl of ramen for $$$8$$. He then bought a pineapple juice that cost $$$5$$ lesser than the ramen. After that, he bought a roasted duck that cost $$6$$ times as much as the ramen. What was the total amount of money he spent? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | c41f84fd63394a0391698bc5498037eb | 1 | short_answer | Jane buys $500 \text{g}$~of cheese which costs £$7.48$ per kilogram, eight apples at $12$p each and two yoghurts at $46$p each. How much change does she get from a £$10$ note? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | c21db49e2ec24c00ad1e61412de8a8da | 1 | short_answer | Andy and Zack have to sell $$1200$$ aircrafts for a new marketing campaign. Zack can sell $$150$$ aircrafts per hour. If Andy and Zack work together, they can sell all the aircrafts in $$6$$ hours. How long would it take for Andy to sell all the aircrafts by himself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 1a2675c93fa74d79bf17aa463233e418 | 2 | short_answer | Students and teachers from Think Academy are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of students, and the adjacent inner layer is full of teachers, then students, then teachers and so on until the innermost layer is reached. If there are $80$ more students than teachers in total, find the total number of people in this array. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | a85551b5ada240de8c9dda1f7da71caa | 1 | short_answer | Five friends raise £$$400$$ for their favourite charity. Alan collects £$$74$$ and Bilal raises £$$86$$. Chloe collects twice as much as David who raises three times as much as Emily. How much did Chloe collect? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Multiple Variables"
] |
2023-07-07T00:00:00 | 97d454b709c64e6daff1a08bdaaa2036 | 1 | short_answer | A drink contains lime, orange and apple juices in the ratio $$2:7:6$$. Find the volume of orange juice contained in $$\rm 300ml$$ of the drink. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | e9ac6545c3a143c28291a6d293def281 | 1 | short_answer | The sum of two numbers is $$528$$. The bigger number is three times of the smaller number. What is the bigger number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | ea932493a6be4bd8a55c3012ca3eed55 | 1 | short_answer | Sasa wants to count how much money she has in her piggybank. Originally, her mother gave her $$$20$$. She saved $$$1$$ everyday for one week. She lent her brother $$$5$$ and spent $$$3$$ on buying some snacks. How much money does she have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | e000ebdd6454463d874a0f9f4b5453da | 1 | short_answer | Steve, Mark and Ryan took their father out for a meal. Steve had ＄$$40$$ more than Mark. If Steve paid for the meal, the amount of money that Steve, Mark and Ryan left will be in the ratio $$3:8:9$$ respectively. If Ryan paid for the meal, the amount of money Steve, Mark and Ryan left would be in the ratio $$5:4:1$$ respectively. If Mark paid for the meal, the amount of money Steve, Mark and Ryan left would be in the ratio $$10:1:9$$ respectively. How much did the meal cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | adba7c277cb842899408b324ea11a443 | 1 | short_answer | Max counted the money in his piggy bank. He had £$$28.74$$. He repaid his mum £$$10.50$$ that he owed her and spent half the rest on magazines. How much did he have left after that? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | b3ed35bbe5ce4935bcc062b5653f1a11 | 1 | short_answer | Ronald was then later asked to determine the value of $q$, given that $\frac{44000}{q}$ is also a cube number. Determine the value of $q$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Perfect Square Factorization"
] |
2023-07-07T00:00:00 | be66bf7835674a479413fc1019bf6408 | 1 | short_answer | The length of a rectangle is twice its width. If the perimeter is $72$ meters, find the length of the rectangle. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | dfcfac4be0e0482cbfbe73e3f8f36b37 | 1 | short_answer | How many factors does 81 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 | de537ba1fad747e38db67229241b78f3 | 2 | short_answer | A crate of mass 100 kg rests on the floor. The coefficient of static friction is 0.4. If a force of 250 N (parallel to the floor) is applied to the crate, what\textquotesingle s the magnitude of the force of static friction on the crate? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | cc1ad36629654bae97b8c5a7fac65f55 | 1 | short_answer | Nick has $300$ grams of a solution with a salt concentration of $12 \%$ and Nicole has $500$ grams of a solution with a salt concentration of $28 \%$. They mixed the solutions together. What is the concentration of the resulting salt solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | be0c4394f54542bfb8c9b196143e27a7 | 1 | short_answer | If the $$3^{}\text{rd}$$ term of an arithmetic sequence is $$23$$ and the $$15^{}\text{th}$$ term is $$155$$, what is the common difference? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d9b27069b97d43039159301e52324136 | 3 | short_answer | Student $$A$$ and Student $$B$$ both had a mathematics test. Student $$B$$ told student $$A$$ "I scored $$50$$ points less than you in the mathematics test." Student A told student B "if you gave me $$25$$ points, then my score would be $$5$$ times that of yours." What is the score Student $$A$$ got on the mathematics test? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 05b3b86ca32248e090e1eb71f8a1857e | 1 | short_answer | Which square number is one more than a cube number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | 63961e2f7dee44ca9a4d89a4d4de6c02 | 1 | short_answer | The total number of buttons that James and Nina have is 24, Nina has more buttons than James. When Nina gave 6 of her buttons to James, then they have the same number of buttons. How many buttons does Nina have originally? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 100c6fbfe37a4df59970ef7b87bb2fb2 | 1 | short_answer | Calculate: $$\left( {\frac{11}{30}-\frac{9}{20}+\frac{7}{12}-\frac{1}{3}} \right)\times 6\times \frac{7}{13}\times 9.1$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 154e009409a0475f899012d13bba6fbe | 1 | short_answer | 3 workers process 90 parts in 5 hours. At this rate, how many parts are processed by one worker in one hour? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 9b06a89d59134d6786d0f3304363e49b | 1 | short_answer | A snail wants to climb out of a $$16-$$metre burrow. It climbs up $$5$$ metres during the day and slides down $$3$$ metre at night. Exactly on which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | bee004ffbd0d4ae48f167a59c6b0eba3 | 1 | short_answer | David, Bentley and Triston have $$410$$ stamps altogether. Triston has $$5$$ times as many stamps as Bentley. Bentley has $$25$$ fewer stamps than David. How many stamps does Bentley have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | e382d288fd514311b12b870b6e188cb0 | 0 | short_answer | In the situation described above, the relationship between the number of bags used and the tax charged can be expressed by an equation. Please write the equation relating the two values.(bags used represented by $x$, tax charged represented by $y$) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 3f7c7e2ec1a24832be797aa888a40a2e | 1 | short_answer | Ella has a collection of coins. When she puts the coins in piles of $4$, there are $3$ left over. When she puts the coins in piles of $5$, there are $3$ left over. When she puts the coins in piles of $7$, there are $3$ left over. When she puts the coins in piles of $9$, there is no remainder. How many coins does she have at least? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | cf5c903f7a704e0e9edc0dcebf1c25a4 | 1 | short_answer | Circle the larger number. $\dfrac{8}{100}$~or $0.7$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | 9518ce77f5dc46ba89558b1a438ed818 | 1 | short_answer | Calculate $$3\times \frac{4}{5} \times 1\frac{1}{9} \times 5\frac{1}{2} \times \frac{3}{11}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Fast Calculation in Fractions"
] |
2023-07-07T00:00:00 | d023e16d6b0442258dbdd634f6f230cd | 1 | short_answer | A car rental company charges a flat fee of $30$ dollars to rent a car. In addition to that you have to pay a daily fee. If you keep the car for $5$ days or less, it costs $25$ dollars per day. If you keep the car longer than $5$ days, it costs $20$ dollars for each additional day. Given that Steven paid $275$ dollars for renting a car, how long could he keep the car? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing"
] |
2023-07-07T00:00:00 | 5b1c49d670024781873d3ae0efb0c655 | 1 | short_answer | 1 dog weighs as much as 8 rabbits.~ 1 rabbit weigh as much as 2 chickens. How many chickens weigh as much as 1 dog? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 16022d017d8d4b2a93df59ec9de8de8d | 1 | short_answer | Find the value of $(\frac{1}{2}-\frac{1}{50})\times(\frac{1}{3}-\frac{1}{49})\times(\frac{1}{4}-\frac{1}{48})\times(\frac{1}{5}-\frac{1}{47})\times\cdots\times(\frac{1}{49}-\frac{1}{3})\times(\frac{1}{50}-\frac{1}{2})$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | eae7f41ff90f44e7a99eb2dc09729a1c | 3 | short_answer | A ball was dropped from a height of $$270 \text{m}$$. On each rebound, it rose to $$10 \%$$ of the previous height. Find the total vertical distance in metres travelled by the ball before coming to rest. | [
"Overseas Competition->Knowledge Point->Distance Word Problems",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | fbc9c3861d2d486da8e9c21841d42bfa | 1 | short_answer | Some rectangular sheets of paper, all the same size, are placed in a pile. The pile is then folded in half to form a booklet. The pages are then numbered in order 1, 2, 3, 4, $\cdots$ from the first page to the last page. On one of the sheets, the sum of the numbers on the four pages is 58. How many sheets of paper were there at the start? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 42cc9c30d7da46e1b85c814f51f4cb50 | 1 | short_answer | Sam had an equal number of green and yellow toy cars. After giving away $$60$$ green toy cars and $$14$$ yellow toy cars, he had thrice as many yellow toy cars as green toy cars. How many green toy cars did he have in the end? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | a6d0ec4cdc6d41c1bee18c4428510978 | 1 | short_answer | Think Zoo is holding a $$3000-$$metre race. A buck, a lion, a giraffe and an elephant take part in the race. If the buck runs $$600$$ metres per minute, and the elephant runs $$250$$ metres per minute, then the buck will finish the race~\uline{~~~~~~~~~~}~minutes earlier than the elephant.\hspace{0pt} | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | f5f9f6e369044a1b83219aa9a9159ae4 | 2 | short_answer | FInd the value for 4+8+12+\ldots+396+400+396+\ldots+12+8+4 | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 821bbb7b160a4641959ffcfcc87a1881 | 0 | short_answer | $15$\% of $200$ apples are bad. How many apples are bad? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 6f13e1fc1b49403ea8b1930c4936f41a | 1 | short_answer | At $$6.10$$ pm, both Simon and his wife left their offices and drove along the same direction back home. Simon, whose office was further away from home, drove at an average speed of $$80 \text {km/h}$$. His wife drove at an average speed of $$60 \text {km/h}$$. The distance between Simon\textquotesingle s office and his wife\textquotesingle s office was $$15 \text{km}$$. At what time did Simon overtake his wife? | [
"Overseas Competition->Knowledge Point->Distance Word Problems",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 901ccb4591ae4fc0b5dc46e406c89367 | 1 | short_answer | Work out $$123-67$$ Answer~\uline{~~~~~~~~~~}~ | [
"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 | da055c1b89524c48bc32bc19a92de881 | 2 | short_answer | Pens and pencils are sold in a shop. $12$ pencils cost £$1.80$ The ratio of the cost of a pen to the cost of a pencil is $7 : 3$ Work out the cost of $5$ pens. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units"
] |
2023-07-07T00:00:00 | 3aaf82004b014041bf215ad6f6fcea70 | 1 | short_answer | Calculate: $$2+4+6+8+\cdots +78+80$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 3e45de8cb94745a28ca3cae049c63279 | 1 | short_answer | Think Restaurant sells coffee, milk, hamburgers, burritos and bagels. If Eddie can only pick one drink and one food item for his breakfast, how many different combinations can he choose from? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication"
] |
2023-07-07T00:00:00 | fbd1909b07244f4b8fef27cb83be59f2 | 1 | short_answer | $$100$$ boys are standing in front of their lockers, numbered from $$1$$ to $$100$$. ~At the beginning, ~all lockers are unlocked. ~$$A$$ teacher calls out \textquotesingle$$3$$\textquotesingle, only those boys whose locker numbers are divisible by $$3$$ will lock their lockers. ~The teacher then calls out \textquotesingle$$5$$\textquotesingle, only those boys whose locker numbers are divisible by $$5$$ will unlock their lockers if they are locked, ~or lock their lockers if they are unlocked. ~How many lockers will be unlocked at the end? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Questions involving Square Numbers"
] |
2023-07-07T00:00:00 | 6ed4b3f4d3984ba0b27b5278f3c00efa | 2 | short_answer | There are $$10$$ steps on a flight of stairs. Nelson can either climb up one steps or two steps a time. His lucky number is $$5$$, so he must step on the fifth step on the stairs for good luck. How many different ways are there for him to climb up the $$10$$ steps?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | 40bc621de9c14774a192faa5c08aa4c1 | 1 | short_answer | Auntie Lina takes $$3$$ minutes to cook $$2$$ pancakes. How many pancakes does she cook in $$12$$ minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | 14775f177c0c4183a67b4ef46483248b | 1 | short_answer | Jason, Chi Yew, Wei Jie and Michael are on their way home. There is only $1$ boat, and it can only seat $2$ people at one time. Jason takes $5$ minutes to cross the river, Chi Yew takes $5$ minutes, Wei Jie takes $9$ minutes and Michael takes $7$ minutes. They try to find the shortest period of time they will take to cross the river using the following working: $4\times5$ min $=20$ min Are they correct? If not, show the correct working and answer. | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Strategies for Crossing River Problems"
] |
2023-07-07T00:00:00 | e861bb32b7d547039e6ce80de36833a5 | 2 | short_answer | In the January sales the price of a jumper was reduced by $$\frac{1}{5}$$. The sale price was £$$48$$. Work out the original price. £~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 42d848249dd041fd9a59aba42cf09b4e | 1 | short_answer | If a construction company can pave a $$500-$$metre road in $$5$$ days, how many meters of road can it pave in one day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 04f3463bdfd44e64844f13c3d9c4e55e | 1 | short_answer | An international Mathematics competition has participants from $$18$$ different countries. At least how many participants should there be to ensure that a minimum of $$9$$ people come from the same country? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 374b823fc9994ac6839b73f73220b2fc | 1 | short_answer | The numbers $21$, $22$, $23$ and $24$ are four consecutive whole numbers and their sum is equal to $90$. Given that the sum of fifty three consecutive whole numbers is equal to $2014$, find the largest number among these fifty three numbers. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | d4be2c4b031f4b75b58c52a082b67c92 | 2 | short_answer | When Sandra calculated $98\div A$ , she wrote 88 instead of 98 by mistake, and she got 22. What is the number of A? What should be the correct answer? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 17c7cc140d594f18884947838501f76d | 1 | short_answer | Four calculators cost £$32$ How much will twelve of the same calculators cost ? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | a50d4aad678545d8ad403f9ee6aef9cb | 1 | short_answer | Lucas and Miller are cycling clockwise around a circular runway. Lucas completes $$5$$ laps every $$6$$ minutes. Miller completes $$5$$ laps every $$10$$ minutes. How long is it between the first time that Lucas overtakes Miller and the secod time that Lucas overtakes Miller? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Circular Runway",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 6e28fbe858694127965a423b5827545f | 1 | short_answer | The amount of money that Rachel saved was $$ $1670$$ when rounded off to the nearest $$ $10$$. What was the greatest amount of money she could have possibly saved? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 08f295cae61b452781fe8880031bedb9 | 1 | short_answer | Calculate $956 \times ~78$ | [
"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 | 42304a89be8248ce998d0790579451c5 | 0 | short_answer | Multiply $$345$$ by $$6$$. | [
"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 | 97e34217530f47f198915d7380bfbd2d | 1 | short_answer | Find the remainder when dividing $5217$ by $13$. | [
"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 | 62bcd683923a4c13a327d9e35f3b2302 | 1 | short_answer | How many minutes are there in $2\dfrac{1}{2}$~hours? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time"
] |
2023-07-07T00:00:00 | 87766ec0f15a4f82a63df69a587cfef4 | 1 | short_answer | At the school fair, $$\dfrac{3}{5}$$ of the visitors were children. $$\dfrac{1}{4}$$ of the remaining visitors were men. There were $$120$$ 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 | b8e19c913d8d4ff69e6cd9698f1eb368 | 1 | short_answer | A long distance calling plan charges $80$ cents for any call up to $15$ minutes long and $5$ cents for each additional minute. If it costs Ryan a total of $1.4$ dollars, how many minutes does the call last? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing"
] |
2023-07-07T00:00:00 | cd9aa54c79074ee2aa4aad035a1be624 | 1 | short_answer | Tim is $$8$$ years old. One day, he asked about his mother\textquotesingle s age. "When you are as old as I am now, I will be $$54$$ years old," replied his mother. How old is Tim\textquotesingle s mother? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | 41b46512b7bf48eebc8468c2eb001314 | 1 | short_answer | An orange string is $9.2$ times as long as a purple string. A green string is $24.9\text{cm}$ longer than the purple string. The orange string is $5.52\text{m}$ long. What is the length of the green string? Express your answer in metres.~\uline{~~~~~~~~~~}~$\text{m}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | c513a3033f3749eebdae943a22fb537a | 1 | short_answer | Do you know the value of A? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)"
] |
2023-07-07T00:00:00 | c1962524dabf4b3da31b4f37827a030a | 1 | short_answer | How many numbers less than $$100$$ are divisible by both $$2$$ and $$5$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems"
] |
2023-07-07T00:00:00 | 4b76c5a5fefd4d379198d89518cf1797 | 1 | short_answer | Ivy can do a job in $$24$$ days and Kevin can do it in $$20$$ days. Now they\textquotesingle re working together. But in the middle of the job, Kevin takes some days off. If they finish the job by the end of the $$18^{}\text{th}$$ day, how many days does Kevin take off? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 184683893a1a450fb55ccb18cf570233 | 2 | short_answer | A rope $$49.5\text{m}$$ long is cut into two pieces. One piece is $$5$$ times as long as the other. Find the length of the longer piece in metres. (Round off your answer to $$1$$ decimal place.)~\uline{~~~~~~~~~~}~$\text{m}$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | f88e8811450e4f85937e81e850e2d300 | 1 | short_answer | George\textquotesingle s Mum gave him $$60$$p and his Dad gave him $$40$$p on Monday. They gave him the same amount of money on Tuesday and Wednesday. How much money did George have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | aefe4b1d258c455f852061413286ec4b | 1 | short_answer | A particular fruit drink is made by mixing apple juice and orange juice in the ratio $$4:5$$. How many litres of apple juice is needed to make $$36$$ litres of the fruit drink? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 4dedeb8bed9343319dda8177873725fd | 2 | short_answer | At Teachem High, $$20 \%$$ of the pupils normally at school are in Year $$7$$. One day some Year $$7$$ girls miss school for a sports match. The total number of pupils left at school is then $$400$$ and the proportion of these pupils who are in Year $$7$$ is $$10 \%$$. How many pupils are normally at school in total? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | e4d3c043d1fb45078d416e3b70973037 | 1 | short_answer | A snail wants to climb out of a $$25$$ metre well. It climbs up $$4$$ metres during the day and slides down $$1$$ metre at night. Which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 4a9d0a7ecc6a4d7b8a4bf5f49ac3f034 | 1 | short_answer | Nancy and Tim write a book together. Nancy can complete writing the book alone in $6$ days. With Tim\textquotesingle s help, they can complete writing the book in $4$ days. How long will it take Tim to complete writing the book by himself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.