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stringlengths 32
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stringclasses 5
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2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | cc27afdc4fa642d99b8a96c299e48d50 | 1 | short_answer | A given number is a multiple of $$3$$. It is between $$5$$ and $$15$$. It is also a factor of $$27$$. What is the number? | [
"Overseas In-curriculum->Knowledge Point->Knowing Numbers->Characteristics of Numbers ->Factors and Multiples->Finding Multiples of a Given Number",
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 2112c6328fbd45fe9356d8c4b6c92b4e | 1 | short_answer | $85$ people go to the school concert. They pay $£1.30$ each. How much money is collected? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Simple Multiplication Applications"
] |
2023-07-07T00:00:00 | ebe796d82e734546a5d8d043ba66fb08 | 1 | short_answer | The GCF of $16$ and $36$ is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 9a83c293667c44a394743b502e08ad48 | 1 | short_answer | Find the value of x：$$12x-2(5+x)=20$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 31b84522628b463e9e35f8337da9486d | 1 | short_answer | Will loves to eat fruit. He bought $$3$$ durian that weigh $$2.6$$ kg on average. He also bought $$5$$ watermelon that weigh $$9.24$$ kg. What is the average weight of all the fruits he bought? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | d9b578012565439f986a633f66f05484 | 1 | short_answer | In a Mathematics test, there were $40$ questions. $1$ mark is deducted for every wrong answer and $2$ marks are awarded for every correct answer. Tom received a score of $71$ and he calculated that he had $31$ correct answers. This was his method of calculation: Assume all answers were correct, Total score $=2\times40=80$ Difference in total score $=80-71=9$ Difference in marks $=2-1=1$ No. of wrong answers $=9\div1=9$ No. of correct answers $=40-9=31$ His friend, Jimmy told him that he is incorrect. If Tom was incorrect, where is his mistake, and how many questions did he answer wrongly? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | fb0704ef09444ba29e79685e326dd2b9 | 1 | short_answer | Write in figures the number forty-two thousand and eight. How much is this number less than one million? | [
"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 | 5ff26caf1d8641c3b74748b9efd22500 | 1 | short_answer | Mrs Rajoo bought the same number of pens and pencils. After she gave $$5$$ pencils to Ali, she had twice as many pens as pencils left. She then bought another $$18$$ pens. How many pens did she have in the end? | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Operations of Multiplication and Addition of Whole Numbers",
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | c29aa8875cbd4e7d9da3314c1b9a63d0 | 1 | short_answer | Every morning, Star goes out to exercise. At $$\rm 6:30$$ A.M., Star leaves home and jogs at a speed of $$6.5$$ miles per hour. At $$\rm 7:30 $$ A.M., Star feels a little bit tired and walks at a speed of $$4.5$$ miles per hour. At $$\rm 9:30$$ A.M., Star finishes her exercise. How many miles does Star travel in total every morning? | [
"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 | eca10a43dea24e5b8f40734daf3f5e9e | 2 | short_answer | There are $$52$$ cards in a deck. Every $$13$$ cards form a same pattern. Each pattern is labelled $$A$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$, $$8$$, $$9$$, $$10$$, $$J$$, $$Q$$, $$K$$. At least how many cards must be drawn to ensure there is a card labelled "$$A$$"? | [
"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 | 5a05da475bdf4d4f9c26b86b5ca7c335 | 1 | short_answer | How many digit "$$3$$"s are used from page $$1$$ to page $$318$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 7a2fec9d9f2a4cacbf558f6ae3813319 | 1 | short_answer | A ship travels at a speed of $$33$$ km/h in still water. The speed of the current is $$7$$ km/h. How long will it take the ship to travel $$320$$ km downstream? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Travel Word Problems of Boats"
] |
2023-07-07T00:00:00 | ec60860f433c4d77837f8b9b847882cc | 1 | short_answer | Ben has $$17$$ sweets and Bob has $$14$$ 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 | dc98d04066844b33b74e3117952005e5 | 1 | short_answer | For page numbers within $$1\sim 99$$, how many times does "$$4$$" appear? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | e7da9c665b464c9ca102d23b33677067 | 1 | short_answer | $$2$$ is Vicky\textquotesingle s lucky number. She writes every number that has a $$2$$ from $$1$$ to $$225$$ inclusively. How many digit $$2$$ does she write? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | f6df262ec3d8481f8a51b4a2492214da | 1 | short_answer | Lucas has $$70$$ books. He puts them into ten equal piles. How many books are in each pile? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division within the Multiplication Tables"
] |
2023-07-07T00:00:00 | 14254cf94d7540a7a332d80102aa8f38 | 1 | short_answer | Subtract $5076$ from $6081$ | [
"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 | 67cd26c1867b4d648638a34d32fad1b9 | 0 | short_answer | A piece of wire is $240\text{cm}$~long. Peter cuts two $45\text{cm}$~lengths off the wire. He then cuts the rest of the wire into as many $40\text{cm}$~lengths as possible. Work out how many $40\text{cm}$~lengths of wire Peter cuts. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 1b632632619c4c03a2a49fc43f39ccb8 | 2 | short_answer | $$25 \%$$ of the girls at Withington are left handed. One tenth of the left handed students play tennis. There are $$16$$ left handed tennis players at Withington. How many pupils are there in total? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules->Carroll Diagrams"
] |
2023-07-07T00:00:00 | 3badf3ad5d7e4d65997e7dba4984ed0d | 1 | short_answer | Tiara can make $80$ cookies using $20$ grams of butter. How many grams of butter does Tiara need to make $100$ cookies? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | d524ba10be4e42d287da738c4dd0f9f7 | 1 | short_answer | （UK Emanuel School Entrance Examination Year $7$ Entry Question \#$21$） A~ train leaves London at~$10.35$~a.m. and arrives in Exeter~$3$~hours and~$35$~minutes later. What time does it arrive? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 6e3e5239895349b08896dfe4a2f9817a | 1 | short_answer | How many different three-digit numbers can be formed with the digits $$6$$, $$7$$, and $$8$$ 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 | c95c7f2647524a1b84a553fdaf384550 | 3 | short_answer | （AMC 2018 Question \#28） I wrote the counting numbers joined together: 1234567891011121314151617$\ldots$ Which of the counting numbers was I writing when the 100th zero was written? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 361af5c7444d4a77a809bd5fb28f128e | 1 | short_answer | Janice\textquotesingle s mother bought $$8$$ cartons of orange juice. Each carton contained $$3$$ ℓ of orange juice. Janice and her family drank $$9$$ ℓ of orange juice in a week. How much orange juice was left in the carton after a week? ~\uline{~~~~~~~~~~}~ℓ of orange juice was left in the carton after a week. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 57c249281b304080a78e5214cc07daa6 | 1 | short_answer | Tarita starts a savings account with $$$3600$$ at a bank. The interest rate is a simple interest of $$2 \%$$ per year. How much interest will she get in her savings account at the end of $10$ years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | eda84d19ef334353a874d1471a677058 | 1 | short_answer | Solve the equation below： $$3\left( 2x-2 \right)=30-3x$$. x=． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 56c90f1a30374a13b09ffe20646206b3 | 2 | short_answer | Bud, Pip, and Tom have 50 sweets between them. Bud has three times as many sweets as Pip. Tom has twice as many sweets as Bud. How many sweets does Tom have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | b7fd46892ef74e929cb5d1f4d54a7f75 | 1 | short_answer | Bob bikes from his home to a cinema. He bikes at a speed of $180$ meters per minute for $6$ minutes. Then he feels tired and bikes at a speed of $120$ meters per minute for $8$ minutes and he arrives at cinema. What is the distance between Bob\textquotesingle s home and the cinema in meters? | [
"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 | 8e1c584bb43949dc93fc621494c3073f | 1 | short_answer | If the sum of eight consecutive whole numbers is equal to $$2012$$, find the value of the largest number among these eight whole numbers. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | b592cb34a1374b25a352ce50080da48d | 1 | short_answer | In a car park there are $60$ cars. $\dfrac{5}{12}$ of the cars are red and $$20 \%$$ of the cars are blue. How many cares are there that are neither red nor blue? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | e084829c18924d79acacaf75a980d4f9 | 2 | short_answer | Danya and Elias are in a queue and Elias is directly behind Danya. There are $25$ people in front of Elias. Counting from the back of the queue, Danya is the $$14^{\rm th}$$. 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 | 90a6c5c7e28a4bc489bb3ef6acd51b15 | 2 | short_answer | Sachin can clean his flat in $3$ hours, and Peter can clean the same flat in $6$ hours. Calculate how long it will take to clean the flat if they work together. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems->Basic Collaboration Word Problems"
] |
2023-07-07T00:00:00 | d15e0e53fbde4c1aa79efca6f630157d | 1 | short_answer | Express $$\frac{42}{35}$$ as a percentage. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"
] |
2023-07-07T00:00:00 | 015418b57d46449a8b2161571801303b | 1 | short_answer | There are class $$A$$ and class $$B$$ in the fourth grade, and the number of students in class $$A$$ is $$\frac{5}{7}$$ of that of class $$B$$. If $$3$$ students were transferred from class $$B$$ to class $$A$$, the number of students in class $$A$$ would be $$\frac{4}{5}$$ of that of class $$B$$. How many students are there in class $$A$$ right now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Differences"
] |
2023-07-07T00:00:00 | 65df19ad9a52462f88ad9585d2e88ca8 | 0 | short_answer | Solve the equation:~$3a+8=14$. | [
"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 | 1f3250a1ab714b5a93c359bb33407829 | 1 | short_answer | Work out $24.4 \times 1000$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 12524a06278546ab8e9e8b16a0f5e800 | 2 | short_answer | At a store, $$3$$ empty bottles can be exchanged for $$1$$ bottle of mineral water. Faye swapped $$5$$ times. She managed to exchange for $$4$$ new bottles. It was realised that she had gotten $$1$$ more bottle than expected. How many bottles does Faye have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 7991c8c9adaf4cbb9a682e09102844fc | 1 | short_answer | $52 248 \div 12$ | [
"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 | 6fd5f6f4f4764d0a976b09a87613282b | 1 | short_answer | Some students are preparing for a choir performance. All boys in the choir line up and exactly form a square array. $17$ girls line up outside the square array, adding a row and a column to the array, and form a larger square array with the boys. Find the total number of boys in the choir. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 6424a92c08be44a48125b4a91cdf0541 | 1 | short_answer | Ivy wants to go on a hike. If she leaves home at $$\rm 1$$ p.m., she will arrive at the destination at $$\rm 7 $$ p.m.. If she wants to arrive one hour earlier, she must travel $$2$$ extra kilometers per hour. Find the distance between Ivy\textquotesingle s home and the destination (in kilometers). | [
"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 | 76ba583e46624ad6ad49e0fa892660ad | 1 | short_answer | There are $40$ litres of water in a barrel. The water flows out of the barrel at a rate of $125$ millilitres per second. $1$ litre $= 1000$ millilitres. Work out the time it takes for the barrel to empty completely. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 355ee489190e440a97b10b0e4a181b2c | 0 | short_answer | A printer printed $$237$$ digits for all the page numbers of a storybook. How many pages are there in the storybook? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 75742fbf8de24d479bd0cd4b5397eb2d | 1 | short_answer | In an arithmetic progression, the $9\text{th}$ term is $18$ larger than the $15\text{th}$ term, and the sum of the $20\text{th}$ term and the $12\text{th}$ term is $88$. What is the $32\text{nd}$ term in this arithmetic progression? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | 4cc013248faa4925b3066d0d0269c175 | 1 | short_answer | Olivia saved an average of $ $1462$ over a few days. She accidentally recorded her savings for one of the days as $ $1268$ instead of $ $1082$. Therefore, her average savings over those days was inaccurately recorded as $ $1468$ instead. How many days did Olivia record her savings over?~\uline{~~~~~~~~~~}~days | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 3f0badddf0e84f4285bbd3a1d9b4b2e7 | 1 | short_answer | Mr Tung is able to cut a piece of rope into $$4$$ pieces of equal length in $$12$$ minutes. How long will it take for him to cut an identical rope into $$12$$ pieces? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | c5b38e5e2199435c95eb989e88e91cc9 | 1 | short_answer | An oak tree was planted in the year in Which Lord Ownlynose was born. He died in $1940$, aged $80$. How old is the oak tree now (in $2011$)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Difference of Ages"
] |
2023-07-07T00:00:00 | 7215e81d77604964bf294178622f8fee | 1 | short_answer | Part of a number sequence is shown: $25, 28, 31$ If the last figure shown is the $10^{th}$~term in the sequence, what is 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 | a7861f09bf0047a1abbdf01cf43d20db | 2 | short_answer | $$4$$ times the product of the ages of three kids, Lily, Marry, and Carol is $$2240$$. Carol is $2$ years older than Marry, and Marry is $1$ year older than Lily. How old is Carol? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | baabee468b9f46dd9d3a226e53fabfd7 | 1 | short_answer | Chewy was trying to form an equation for his Math homework. The information provided in his question is as follows: "Subtract $3$ times of $(x+6)$ from $(8x+8)$ divided by $2$" Chewy\textquotesingle s working and answer were as follows: $(8x+8)\div2-3(x+6)=4x+4-3x+18=x+22$ Circle what went wrong in his working and provide the correct answer. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 0dd2e9d562984533a486b18296484a81 | 1 | short_answer | Work out the value of $x$. $22+3(6-2x)=8+10x$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | ca0a4ee804934a22b8a061da9f276028 | 1 | short_answer | There are $200$ flowers in Bud\textquotesingle s garden. The number of red is $\dfrac{2}{5}$~of all, purple is $\dfrac{1}{8}$~of all and the rest are yellow and pink. How many red and purple flowers are there in the garden? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 539f23e975a649d497568948c5e3f459 | 1 | short_answer | What is the smallest number that must be taken away from $38942$ to make it divisible by $9$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | a7676438a1a847d8ab70d7998ed51f7a | 1 | short_answer | If you want to split $$10$$ identical marbles into 2 piles, how many different ways of distribution are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | f0ea959eec6b41118011cbb0ba3f17c6 | 1 | short_answer | $6444 \div 18 =$ | [
"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 | 503dcced126a4cae9f67e60f2048cded | 1 | short_answer | Hannah brought a $2.5$-liter bottle of Coke from the grocery store. Her cup has a capacity of $0.5$ quart. How many cups of Coke can she drink with the bottle of Coke she just bought? (round to nearest integer) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"
] |
2023-07-07T00:00:00 | a4c428257cff4445a4d9df7423135eaf | 3 | short_answer | Jeremy has the same size toy cars in his box in which 5 are red, 9 are blue and 4 are white. How many cars does he need to pick from the box without looking to e sure he will get 3 toy cars of the same colour? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Picking Balls Randomly"
] |
2023-07-07T00:00:00 | 31cea5404a28497fa58c3d4ac14250bf | 1 | short_answer | Three pieces of wood have lengths $85\rm cm$, $2 \text{m}$~and $147 \text{cm}$. Find the total length of these three pieces of wood in METRES only. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 02cec2fdec424ee0a518fe03ccd11faa | 1 | short_answer | What is two and thirty four hundredths when it is written as a decimal? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | 89245e2c38cd4e249921977cacaefb32 | 1 | short_answer | In a window of an old garden shed there are some spiders (with eight legs) and some ants (with six legs). If there are $$64$$ legs altogether, what is the largest number of ants there can be in this window? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 521225eba88d499087ca7a728e7babaa | 1 | short_answer | Vivian has $$8$$ more than $$5$$ times the number of coins that Justin has. If Vivian has $$48$$ more coins than Justin, how many coins does she have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | e4b841a897a04191927b64bfe38ff722 | 2 | short_answer | Hillary collected some stamps. She gave 14 stamps to her sister. Buy 11 more stamps from Singpost. Use 2 stamps to send a letter to her friend in Malaysia, she have 34 stamps left. How many stamps she has at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | c7d9e6a152bf4aac8eb62a0c004333d5 | 1 | short_answer | How many millilitres are there in 7.5 litres？ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Compound Units"
] |
2023-07-07T00:00:00 | 730d6fe3d6a34ed4b170b749c262e84f | 1 | short_answer | $$6$$ is first subtracted from a number. The difference is then multiplied by $$6$$. The product is added to $$6$$. Lastly, the sum is divided by $$6$$. The answer is $$6$$. What is the value of this number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 6e99e1ccf3764b41b183ed57f3093159 | 1 | short_answer | A magical ball falling to the ground bounced three times as high as the height from which it was dropped for the first two bounces. For the following bounces, it bounced half of the height from which it dropped. From what height was the ball dropped if it reached the height of $$36$$ m after the fourth bounce? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Basic Computation of the Multiples->Multiples of Two Variables"
] |
2023-07-07T00:00:00 | 71c5dafbfe4e49e48f3ff2ba324fa816 | 2 | short_answer | The sum of two numbers is $$11.63$$. When adding the numbers together, Oliver accidentally shifted the decimal point in one of the numbers one position to the left. Oliver got an answer of $$5.87$$ instead. What is one hundred times the difference between the two original numbers? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | c847b4e44f3b41f4925f34fe099d474a | 1 | short_answer | $$2 \times 9 + 200 + 9$$ =~\uline{~~~~~~~~~~}~. (Adapted from 2009 Math Kangaroo Problem, Level 3-4, Question \#2) | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | c0478d9244ba49339b683a82526b16a9 | 1 | short_answer | Alison has £$$32$$ but spends half in the shops. How much money is she left with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 945736381b124f10ad0d4586420a9666 | 1 | short_answer | What number between $$30$$ and $$40$$ is divisible by both $$3$$ and $$4$$? | [
"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 | e6b3da9856474849a7c73d75f573f103 | 1 | short_answer | A $$6$$-digit number $$8abcde$$ can be divided by $$3$$, $$4$$ and $$5$$. In addition to that, all the digits in the number are unique. What is the smallest possible value of $$8abcde$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 9074f61b08b34feb83fb6026f085b5f2 | 2 | short_answer | The latest CD from the pop group "The Irrationals" has twelve songs on it. Each song costs $$99$$p to download from the internet. Alternatively, you could download the whole CD for £$$8.99$$ How much money do you save by purchasing the whole CD rather than buying all twelve tracks separately? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Difference and Multiples of Multiple Variables"
] |
2023-07-07T00:00:00 | 2826012497a04a32b3544b4cbd378949 | 0 | short_answer | There are $16$ eggs in one tray. Mrs Lee buys $40$ trays of eggs to bake for a funfair. How many eggs does Mrs Lee need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Completing Equations According to Pictures (multiple variables)"
] |
2023-07-07T00:00:00 | f20519cbe24047f480f153f89d45c8f9 | 1 | short_answer | Take a $2$ digit number, then reverse it. Take the smaller number away from the larger. Examples: $26:$(reversed becomes $62$)$62-26=36$ $71:$(reversed becomes $17$)$71-17=54$ Try some more for yourself. What do you notice about the answers? Is it always true? Can you tell why? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Operational Problem->Number Operation"
] |
2023-07-07T00:00:00 | e1c6641aa30549ec93c747f03b8fde94 | 1 | short_answer | Mrs Bloggs buys a packet of biscuits for £$1.69$, a $2$-pint bottle of milk for $82$ pence and a box of $80$ teabags for £$2.99$. She pays with a £$20$ note. How much change does she get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 022ef21b0ed847d68df150adecb637ea | 1 | short_answer | How many different two-digit numbers can be formed using the numbers $$1$$, $$2$$, $$3$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | 4b2c1678e7f14496a3b8d08653cd8693 | 1 | short_answer | All of the digits from 0 to 9 are used to form two 5-digit numbers. What is the smallest possible difference between these two numbers? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Obtaining Maximum/Minimum Values "
] |
2023-07-07T00:00:00 | cc3b876c55ae46299e40246b9eafb3d1 | 3 | short_answer | Sam Sam had 40 stickers more than Peter. Sam gave 20\% of his stickers to Peter. In return, Peter gave 25\% of his stickers to Sam. In the end, Sam had 96 stickers more than Peter. How many stickers did Peter have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 7123aa7bbad1493684f0f3f2ffa7852a | 1 | short_answer | If the three-digit number 3N3 is divided by 9, the remainder is 1. Find N. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 40503ef3b45647cda8ec8ab5a12a3568 | 2 | short_answer | Calculate: $$19+27-9-7+8=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 9dd11761e2f946e1aaa0f232e5513538 | 1 | short_answer | It takes a train $$15$$ s to entirely pass a tree. Find the speed of this train if its length is $$450$$ m. (The width of the tree is negligible.) | [
"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 | bff9eb9a097b4c9fbe698fb9361765b1 | 1 | short_answer | $6!=6\times5\times4\times3\times2\times1$~and~$7!=7\times6\times5\times4\times3\times2\times1$ Calculate the value of $10!$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly->Ordinary Type"
] |
2023-07-07T00:00:00 | 73d622eab89d4aeab04694fa52f525db | 0 | short_answer | Find the number $$A$$ such that the following statement is true: $$3\times13+5\times13=A\times8$$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 64d9c0d96e8b4b6a9b2af8e53a386877 | 0 | short_answer | A salt solution is made by mixing $$8$$ grams of pure salt and $$32$$ grams of water. Find the percent concentration of the solution. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 8fdba5860ae8459494f40b54d38548a9 | 1 | short_answer | What is $70 \%$ of $40$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 3fc4b3f3cb89424db751f420508a1d40 | 1 | short_answer | At Think store, a pencil costs $2$ dollars and a pen cost $4$ dollars. Owen bought some pencils and Oscar bought some pens. If Owen wants to trade a pen from Oscar, how many pencils should Owen give Oscar? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios"
] |
2023-07-07T00:00:00 | a1f84fb286e24074ba7396201d611eff | 1 | short_answer | Ali and Baba were queuing up to buy some ice cream. There are 14 people in front of Ali and 10 people behind of Bala. Bala is standing directly behind Ali. How many people are there in the queue? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"
] |
2023-07-07T00:00:00 | 30fd86b9d9a641a881e71dc018c583f4 | 0 | short_answer | Four 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 | d47c10d6ed9c4e61976326927d0db6ac | 1 | short_answer | $18-17+16-15+14-13$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Grouping in Fast Addition and Subtraction of Whole Numbers"
] |
2023-07-07T00:00:00 | 7fb2dd15b44a432ebf16f80ff0ac18d8 | 1 | short_answer | How many digit "$$9$$" are there from $$1$$ to $$828$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 06005d7a51944fbcab3a4f5650bb5d66 | 1 | short_answer | What is the smallest number which is in the one times table, the two times table, the three times table, the four times table, the five times table and the six times table? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "
] |
2023-07-07T00:00:00 | 29f757912336498e89b265d7c3dc2c68 | 1 | short_answer | $$1\times 2+2\times 3+3\times4+\cdots +98\times99+99\times 100+100\times 101$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 9a0b6021c3bf41b6bfe3ce63e893970b | 1 | short_answer | A tank has $$2$$ ℓ of water. A jug can hold $$7$$ ℓ~ of water. Tom adds $$4$$ such jugs of water into the tank. How much water is there in the tank now? There are~\uline{~~~~~~~~~~}~ℓ of water in the tank now. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 4d874eded9f6441287acd8ba0029f6bb | 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 | 4916026562cd47e283b98f0d0cd4bf19 | 1 | short_answer | Cathy bought a bag of cookies. She ate $9$ cookies per day in the first $3$ days, $15$ cookies per day in the following $2$ days and $10$ cookies per day in the last $2$ days. How many cookies on average did Cathy eat per day? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 51560f6fe7b14fcdb4bd060c96dbc1a9 | 4 | short_answer | Candy can do a job in 20 days, and David can do the same job in 25 days. Now they\textquotesingle re working together, but David takes some days off in the middle of the job. If they finish the job by the end of the $12th$~day, how many days does David take off?（⭐⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 7a2a20573729484498268bb992ca72c1 | 1 | short_answer | A book whose mass is 20N rests on a table. Find the magnitude of the force exerted by the table on the book. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | 8ef2118cd0cb45d3a3940b6138d4e8da | 1 | short_answer | A lawyer has an annual income of ＄$$140,000$$. The income tax is $$5 \%$$ of the first ＄$$50,000$$ and any amount above ＄$$50,000$$ is taxed at a rate of $$\left( 8+T \right) \%$$. The lawyer noticed that the income tax he paid was＄$$15,100$$. Find $$T$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Tax Problems"
] |
2023-07-07T00:00:00 | aa1ba812762546cd8c78bc85ae3a25cc | 1 | short_answer | Lemar is $$\text{y}$$ years old. Guy is $$3$$ years younger than Lemar. Write an expression, in terms of $$\text{y}$$, for Guy\textquotesingle s age. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"
] |
2023-07-07T00:00:00 | 4a6392aa73ad47e08098f73769dc697c | 2 | short_answer | A box contained apples and pears. $$\frac{4}{5} $$ of the fruits were apples and the rest were pears. After $$\frac{3}{4} $$ of the fruits were removed, there were $$\frac{1}{8} $$ of the apples and $$30$$ pears left. How many fruits were there in the box at first? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 0f96314625f240a7a0bac5d0d7506fa0 | 2 | short_answer | There are $$6$$ footballs, $$9$$ basketballs and $$3$$ volleyballs in the playground. Lily will be blindfolded before she takes the balls out, one at a time. How many balls must Lily take out such that she can get $$6$$ balls of the same type? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 0abf82b202384e50a18c63eb91160283 | 2 | short_answer | A ball of mass 2 kg is gently pushed off the edge of a tabletop that is 5.0 m above the floor. Find the speed of the ball as it strikes the floor. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Grouping Method"
] |
Subsets and Splits