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stringclasses 5
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 319659d1f9494d8da86df50b138ccfd5 | 1 | short_answer | Judy~ is waiting in a line to buy some toys. There are $7$ people in front of her, and $3$ people behind her. In total, how many people are there in the line? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f733db5ae9be4fc19b2772e1336899bf | 1 | short_answer | A recipe for $$12$$ cakes needs $$200\text{g}$$ of flour. Isaac has $$250\text{g}$$ of flour. How many cakes could he make? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units"
] |
2023-07-07T00:00:00 | 69a10a7a8381484b8df4c3813750ce0c | 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 $$12^{}\rm {th}$$ 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 | 52f7ec2008844b4b96f3e14ec5bc08c7 | 1 | short_answer | Ophelia had $$4$$ times as many diamonds as Penelope. After Penelope bought $$21$$ more diamonds to add to her collection, Penelope had $$\frac{5}{8}$$ as many diamonds as Ophelia. How many diamonds did Ophelia have? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 91b1fa437ec640b6a726e2f243fbcdc6 | 1 | short_answer | lf $$20:32=$$$\square$$$:8$$,what is the missing number in the box? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"
] |
2023-07-07T00:00:00 | a6d2722285fe41fc82cfbf38df970e88 | 1 | short_answer | How many grams are there in $$0.0025$$ kilograms? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 62e6f0c8e4844cf5913cc68756ec307e | 1 | short_answer | A class has 44 students participating in competitions, 30 of whom participate in maths competition and 26 in art competition. How many students participate in both maths and art competitions? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 0fe10f3434414681820fd105b8e64e1a | 1 | short_answer | What is the remainder when $$379$$ is divided by $$6$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 1951c1ebe48e4ad0a4cd072379459f1d | 1 | short_answer | How many times does the digit "$1$" appear in the page numbers of a $200$-page book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 3be019225e774908af2f46af704db571 | 1 | short_answer | There are $$4$$ black socks and $$4$$ red socks in a drawer. Cindy wants to take out a pair of socks but the light in the room goes off. How many socks must she get from the drawer to make sure there is at least one pair of the same colour? | [
"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 | 59f40a74a46b4f6a92446fb1fe6d3f5b | 1 | short_answer | There are $$9$$ different statues in a garden. How many ways can $$4$$ statues be arranged in a row? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations ",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 2809b71b8eb74287a05d0ce2c1647a67 | 1 | short_answer | A very greedy shopleeper increased the price of a small chocolate sweet from $$10\text{p}$$ to £$$1.00$$. Work out the percentage increase in price. Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | 0faafc65dcc940c68dac95ff81fd8bbe | 1 | short_answer | Athena wants to buy a bracelet that costs $ $80$. How much must she pay if there is an extra $8 \%$ GST upon payment? $ $$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values"
] |
2023-07-07T00:00:00 | ceb94cece3814f3ba7dbce87461af7eb | 1 | short_answer | The total number of tricycles and bicycles in a shop is $300$. The total number of tricycle wheels is $180$ more than the total number of bicycle wheels. Calculate the number of bicycles in the shop. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 0fa7fc81f75c4a438c7e27101422e437 | 1 | short_answer | You deposit some money into an account which earns $6 \%$ annual interest. If you can withdraw $2360$ dollars form this account after 3 years., how much do you need to deposit now? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 19695e62163a49de8f347a78fa0034ec | 1 | short_answer | The rabbits in a zoo have three colours: black, white, and grey. All of them are lined up in a row repeating this pattern: $1$ black, $2$ white, $2$ grey. If there are $14$ grey rabbits, at most how many rabbits are there altogether in the zoo? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 02085f3402f64823bda6f851884cad43 | 1 | short_answer | Lisa bought a bike for $120$ dollars. The bike depreciates at the rate of $4 \%$ per year. Find the value of her bike after $5$ years. ($0.96^{5} \approx 0.8154$, $1.04^{5} \approx 1.2167$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | e234c915fb16462f9526941f4556b996 | 1 | short_answer | A division gives a quotient of $$27$$ and remainder of $$9$$. What is the minimum value of the dividend? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 912427a474264adaaabc2ae198e4adde | 0 | short_answer | A number minus $$6$$ equals $$9$$. What is this number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 0d77e82eea214976a5d8bf3ab4e08b0b | 1 | short_answer | Calculate: $$2015\times 2015-2016\times 2014$$. Pip\textquotesingle s answer: $=2015^{2}-(2015+1)\times(2015-1)$ $=2015^{2}-2015^{2}-1^{2}$ $=-1^{2}$ $=-1$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula"
] |
2023-07-07T00:00:00 | d6f47c7d14794cf0882cbdded57195ef | 2 | short_answer | A box of biscuits contains $36$ biscuits. $20$ biscuits have foil wrappers. $15$ are chocolate biscuits with foil wrappers. If $9$ are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | aba2e0d130f344469e4cfa2b6010392a | 1 | short_answer | Calculate： $$3.5\times 0.8+5.5\times 80 \%+\frac{4}{5}\times 100 \%$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 81fcb6311cba411b82d413bf90689157 | 1 | short_answer | If a cyclist increases his speed by $25 \%$, the time taken for him to cover a certain distance will decrease by $20$ minutes. If the cyclist decreases his speed by $45$ metres per minute, the time taken for him to cover the same certain distance will increase by $75 \%$. Find the distance he has to travel. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | aa34af4f0c0d4f1193c0c13f4ef71431 | 2 | short_answer | I am a number with $$3$$ decimal places. The digit $$9$$ is in the thousandths place. The digit $$7$$ is in the hundredths place. The digit $$6$$ is in the tenths place. The ones place has a value of $$4$$. Round off this number to one decimal place. What number am I?~\uline{~~~~~~~~~~}~ Tongtong says, "I think the answer to the above is $$9764.0$$." Is she correct? If not, state the correct answer. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"
] |
2023-07-07T00:00:00 | 061ad10a381246f0b22fbd4f813aa403 | 0 | short_answer | What is a quarter of $$398$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 8ee5b1b4a0b744aea869489b01233c34 | 2 | short_answer | Jason is a crystal miner, he has mine some crystals. He sold 10 more than half of his crystals to Yvonne. Then, he mined 20 more crystals in Singapore. After that he sell 14 crystals to Cherlyn. He has 35 crystals in the end. How may crystals he had at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | bddd9a07ce1b4cd89fa99ccb14a387de | 1 | short_answer | How many consecutive zeros are there in $$A$$ if $$A=\underbrace{5\times 5\times 5\times \cdots \times 5}_{{{15}}}\times \underbrace{2\times 2\times 2\times \cdots \times 2}_{{{10}}}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"
] |
2023-07-07T00:00:00 | f780445f7b1e4a9083acc80c65867dd2 | 1 | short_answer | At first, Olaf had thrice as many carrots as Anna. After Olaf gave away $335$ carrots, Anna had twice as many carrots as Olaf. How many carrots did Anna have?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | c735dd28ea2240689abbbd4d577fd596 | 1 | short_answer | Different numbers can be made using the digits 1, 5, 6, 8 and a decimal point. How many possibilities are there if each digit must be used exactly once and the decimal point must lie between two digits? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 017ca40d1bbb43fa95bea8515f5a0087 | 1 | short_answer | Ali and Bala were queuing up to buy some ice cream. There are 14 people in front of Ali and 10 people behind of Bala. Bala is standing directly behind Ali. How many people are there in the queue? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"
] |
2023-07-07T00:00:00 | b411b6a9f50c4eeb9ad77ea2bf97d4c4 | 0 | short_answer | Multiply $257$ by $37$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication in Vertical Form"
] |
2023-07-07T00:00:00 | 46dbc4d8085d4f6983e54168bf69207b | 1 | short_answer | $397 + 784 + 86$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 0ed2fd09143045b3bdb6bd4e5af3258f | 1 | short_answer | In a parking lot there are $$60$$ cars, all of which are black or blue and all of which are Fords or Dodges. There are $$25$$ black Dodges. There are $$18$$ blue cars. There are $$25$$ Fords. How many blue Fords are there? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | d3694a86bdbf4f47b69dd4f491c85b50 | 1 | short_answer | Richard is $$18$$ years old. Adam is half as old as Richard. Will is $$\frac{2}{3}$$ of Adam\textquotesingle s age. What is their total age? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 522f9a97b72e4157b05087fe25269f68 | 1 | short_answer | My garden centre sells Summer bedding plants at $85\rm p$ each. I have $£30$ to spend. How many plants ~can I buy? Show your working. Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | f521fd6cd0bd42ab975826d346f3d148 | 1 | short_answer | The sum of two numbers is $$80$$. The difference of the two numbers is $$40$$. Find the smaller number. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 7bb6052160e54c4c996c2b4554bc7d90 | 1 | short_answer | $$4(x-3)+6x=28$$. x=． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 55d8d326e1d84f5591afabea1baed475 | 1 | short_answer | Four consecutive whole numbers $$A$$, $$B$$, $$C$$ and $$D$$ are all composite numbers. What is the smallest possible value of $$A+B+C+D$$? [A Composite Number is a whole number that can be divided exactly by whole numbers other than $$1$$ or itself.] | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 408a76137cb74fe6b5a4628ffe8dd9fc | 1 | short_answer | An amateur magician wanted to prepare a magic trick. He had to always be able to guess the minimum number of times he needed to pick up at least one of each $3$ coloured balls. A participant was holding a bag with $8$ blue balls, $10$ red balls and $13$ green balls. Can you help out the amatuer magician and determine the minimum number of balls the amateur needed to pick? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 0e0d80b219274c0faaf2195165716eec | 1 | short_answer | What number goes in the box? $7.53+\square=7.73$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 4d85f6fe7d5845cfa81cf1f042e09c59 | 1 | short_answer | When a number is divided by $$11$$, the remainder is $$5$$. When the number is divided by $$7$$, the remainder is $$1$$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 5cfc215c78a9472a8a18a9ba927900bd | 1 | short_answer | Abby earns an average of $$£120$$ a day. Find the total amount she earns in a week if she works from Monday to Friday. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 4405728c929e4c69acaa6a473aab8e49 | 1 | short_answer | Fifty apples are distributed among $$8$$ children and each of them can get at least one apple. For the kid who gets the most apples, what\textquotesingle s the least possible number of apples he or she can get? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Simple Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | b8255d96c133471bb6e3c22310b41adf | 1 | short_answer | There were $$50$$ questions in a science test. $$3$$ marks were given for each correct answer. $$2$$ marks were deducted for each wrong answer. Andrew scored $$125$$ marks for the science test. How many questions did he answer correctly in the science test? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 199c56ed665e423c91ceb0507bd0ab53 | 1 | short_answer | $\dfrac{3}{8}\times960$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | bb4e43f4f3bd41c086968d751b91561e | 1 | short_answer | Think Academy organized a single round-robin football tournament and six teams participated in it. How many games were played? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | f2e8931a123545f7956d58a111edc936 | 1 | short_answer | A quick way to subtract two square numbers is to use the rule For example: ~$a^{2}-b^{2}=\left( a+b\right)\left( a-b\right)$ $26^{2}-16^{2}=\left( 26+16\right)\left( 26-16\right)=42\times10=420$ Use this rule to work out $31^{2}-29^{2}$. (No marks will be award if you do not use the rule.) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula->Applying Difference of Two Squares Formula Reversely"
] |
2023-07-07T00:00:00 | 9a69c834b77544398d9efb56ebcabb0a | 1 | short_answer | What is the biggest number that divides exactly into $$60$$, $$72$$ and $$84$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Maximum and Minimum of Factor and Multiplication"
] |
2023-07-07T00:00:00 | 202cfc0fd1a34d84987c51e10238c07e | 1 | short_answer | Work out: $$7001-360$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | a48ac2327a494c02bf02f51c7a25087f | 1 | short_answer | There are $$12$$ numbers from $$1$$ to $$12$$ on the clock. Eddie starts counting from one random number and counts clockwise, as $$1$$, $$2$$, $$3$$, $$4$$,~$\cdots\cdots$ He counts to $$30$$ and stops at $$10$$ o\textquotesingle clock. He starts counting from~\uline{~~~~~~~~~~}~o\textquotesingle clock. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] |
2023-07-07T00:00:00 | e9da788ec1b54b65a18fecebd1daa615 | 0 | short_answer | Fill in the correct digit to make $296\square12$ divisible by $9$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | a4fa99021c374f29b4110f2783cfd291 | 1 | short_answer | The following is a sequence of numbers: $$2$$, $$2$$, $$4$$, $$6$$, $$0$$, $$6$$, $$6$$, $$2$$, $$8$$, $$0$$, $$\cdots$$ where the first two numbers are $$2$$, and the subsequent numbers are obtained by taking the last digit of the sum of its two previous numbers. What is the $$2011^{}\text{th}$$ number in this sequence? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 46421c119de14d79b2cc3d333a42ca8c | 1 | short_answer | If two-thirds of a number is $$24$$, what is three-quarters of the same number? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 14656e3844dc4d66b7a39d88a9afb8f9 | 1 | short_answer | Given that $$23+25+27 +\ldots+(2k-1)=m^{2}$$, where $$k$$ and $$m$$ are whole numbers, $$k\textgreater30$$, find the value of $$m$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns of Number Tables"
] |
2023-07-07T00:00:00 | b2a8300be95d4862a99c0a044007743d | 1 | short_answer | Linda drove to the beach. In the first $$2$$ hours, Linda drove at a speed of $$40$$ kilometres per hour. For the remaining $$280$$ kilometres, Linda drove at a speed of $$70$$ kilometres per hour. Find Linda\textquotesingle s average driving speed, in kilometres per hour, for the whole trip. | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | bb2d33406c1e486b9da0c4789678c8e3 | 1 | short_answer | Bob has $$15$$ more Match Dfex cards than Alan. Colin gives Bob $$25$$ cards. Bob now has $$3$$ times as many as Alan. How many has Alan got? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Indirect Difference and Multiples of Two Variables"
] |
2023-07-07T00:00:00 | 2832c695b129428eb3f7330133ef2d33 | 1 | short_answer | What is the remainder of $$423\times326$$ divided by $$4$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder "
] |
2023-07-07T00:00:00 | 5513ff312a12411eae4858bfd699527a | 1 | short_answer | Sasa wants to count how much money she has in her piggybank. Originally, her mother gave her $$$20$$. She saved $$$1$$ everyday and had been saved for one week. She lent her brother $$$5$$ and spent $$$3$$ on buying some snacks. How much money she have right now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | a543d8cd5bcf46c784fc4a1226cbbd55 | 3 | short_answer | At an art exhibition, $$37 \%$$ of the visitors were men and the rest were women and children in the ratio of $$4 : 5$$. If there are $$12$$ more men than children, how many women were at the art exhibition? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 146248a0d3d64afe8918234f3da5b527 | 1 | short_answer | A cow can eat one part of grass each day. How many parts of grass can $5$ cows eat in $3$ days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields"
] |
2023-07-07T00:00:00 | 824799b919f548949a8702760dbeaab5 | 1 | short_answer | Ellie pays 3 dollar for $$2$$ bananas and $$3$$ apples. Beth pays 4 dollar for $$3$$ bananas and $$2$$ apples. How much does Annabella pay for $$10$$ banana and $$10$$ apple? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | 54048b9f40ed41f0805db2d51102d2f5 | 1 | short_answer | There are two buckets of oil in a mechanic\textquotesingle s shop. The oil in the big one weighs $$89$$ kilograms and the oil in the small one weighs $$45$$ kilograms. After taking the same amount of oil away from the two buckets, the oil in the big one is left with $12$ times as much as that in the small one. How many kilograms of oil in each bucket have been sold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | a69f37c117db4732b832f08fb22c082e | 1 | short_answer | Louise travels to work and home again by train. The probability that her train to work is late is $0.7$. The probability that her train home is late is $0.4$. What is the probability that at least one of her trains is late? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | f8b86822291f4eeb9da03b7a91347c42 | 0 | short_answer | Work out $$6.6+13.5$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | 729c668804d14fd39ae12b3b213c23b9 | 0 | short_answer | Lena had $$86$$ strawberries. She gave away $$29$$ strawberries to her brother. After her mother gave her some strawberries, she had $100$ strawberries. How many strawberries did her mother gave her? Her mother gave her~\uline{~~~~~~~~~~}~strawberries. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 9413da5a29d94f68bda0bca4fa184194 | 1 | short_answer | How many 2-digit numbers contain at least one sixs? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)"
] |
2023-07-07T00:00:00 | 102f809f85cc4c64bd406383329e958e | 1 | short_answer | Tiffany took her day off from~ 1\textsuperscript{st} April to 18\textsuperscript{th}~May. How many days is her day off? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates"
] |
2023-07-07T00:00:00 | f54684d1af9a4195b08d5e9f85769b4d | 1 | short_answer | Calculate: $$[2017]- {201.7 }+[20.17]- {2.017 }$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 0224d77dd22a452996b6417887c3bc74 | 2 | short_answer | What is the sum of all the numbers from 1 to 30? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 6d1da4e249844060b1007899c512c4fc | 1 | short_answer | What\textquotesingle s the last digit number of~$\left( 2023^{2}+2^{2023}\right)^{3 }$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power"
] |
2023-07-07T00:00:00 | 9b4e50b2cce74bd080a154bda1547248 | 1 | short_answer | The number of positive integers less than $$2023$$ divisible by neither $$7$$ nor $$17$$ is. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | ea0d74bbb60148689b29e204ee0a434f | 1 | short_answer | Car $$A$$ and car $$B$$ depart from two places $$360$$ km apart at the same time, traveling towards each other. Car $$A$$ travels $$48$$ km/h and car $$B$$ travels $$72$$ km/h. How long will it take the two cars meet each other? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 87405c2a8850443ebcf2f68413e180c6 | 1 | short_answer | The total cost of a mango and an orange is $$ $3.80$$. The total cost of a mango and a pear is $$ $3.40$$. Kelly bought $$4$$ mangoes, $$2$$ pears and an orange for $$ $13.20$$. What is the cost of a mango? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 164afcec5f87405ab3a28c1284c5b89b | 2 | short_answer | What is the maximum number of intersection point(s) if you have $$13$$ straight lines. | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 2ff1001e219d4b0ebd3a3f0f80ec684b | 1 | short_answer | Divide $9744$ by $7$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 8da214e5bceb4927bd7edbb025a80cf8 | 1 | short_answer | What is the last digit of the expression below? $$\underbrace{5\times5\times5\times\cdots\times5}_{20 ; 5s} \times \underbrace{7\times7\times7\times\cdots\times7}_{20 ; 7s}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | fc18d60c6efd483aba5f6e0938c4d924 | 1 | short_answer | The figure below is made up of $$2$$ identical quadrants and $$2$$ semicircles, $$AB=CD=14\rm cm$$. Find the perimeter of the following figure. (Take $$ \pi =\dfrac{22}{7}$$) | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | c369770b6e0847c7b9bea03be1874741 | 1 | short_answer | Think Academy has $28$ pencils and $63$ pens to give students as gifts. Each student should receive the same amount of pencils and pens, leaving no spare pens or pencils left. How many students at most will be able to receive the gift? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers"
] |
2023-07-07T00:00:00 | 936bbd100b83467b8e8f7ca63b277148 | 1 | short_answer | Helen sold watermelons at the farmer\textquotesingle s market last weekend. She sold $\dfrac{1}{3}$~of her total the first day, and $\dfrac{3}{5}$~of the remaining watermelons on the second day. After both days, she had $48$ watermelons left. How many watermelons did Helen start with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 23d9ec7fa57f4172838349ff3d74acd6 | 0 | short_answer | $$2.99+12.99+22.99$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 93cf1ceee35c46ea82413427f66b961c | 2 | short_answer | Ahmad, Sam and Jim shared $$334$$ playing cards. Sam received $$6$$ more playing cards than Ahmad. Jim received twice as many playing cards as Ahmad. How many playing cards did Jim receive? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple",
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 48e659b717794dd1b47e78672c0d2e01 | 1 | short_answer | Alice buys $6$ packets of pasta. Each packet of pasta costs $95$ pence. She also buys $5$ packets of rice. In total she spends £$11.70$. How much does a packet of rice cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | 18f570e74c21419eb70c8ce179cc02dc | 1 | short_answer | In the three digit number below the last two digits have been hidden $6**$ The three digit number is divisble by $$3$$, $$5$$ and $$7$$. What is the number? $$6$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples"
] |
2023-07-07T00:00:00 | 1169fdf1689a45368fbfa500b29b4d4a | 1 | short_answer | Chris chooses $$6$$ out of $$10$$ different cup noodles to put inside his shopping basket, how many ways are there? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 64e22caf8eac4296b018f35f51dcffe6 | 1 | short_answer | How much is $$\frac{3}{4}$$ of $$\frac{2}{5}$$ of ￡$$1$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 64339b5e0ff14488a7a7915e85f7baad | 1 | short_answer | Note that $1+\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{4}}}=1+\dfrac{1}{1+\dfrac{4}{9}}=1+\dfrac{9}{13}=\dfrac{22}{13}$. It is known that the fraction $$\frac{13}{10}$$ can be written as $1+\dfrac{1}{a+\dfrac{1}{b+\dfrac{1}{c}}}$, where $$a$$, $$b$$ and $$c$$ are whole numbers. Find the value of $$a+ 2b+3c$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | 9e39cc7574e64c79abd7435129d58354 | 1 | short_answer | Work out $336 \div ~6$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 8cbab745f9da4de496aff3862df03057 | 1 | short_answer | Emily bought 195 cakes for the party and each cake costs £46. How much does she spend for cakes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | ea69a9598ef948f590dc1d10f048d2a0 | 1 | short_answer | It takes two decorators $12$ days to paint a house. One is lazy and one is energetic. The energetic one could paint the house in $$20$$ days on his own. How many days would it take the lazy one to paint the house on his own? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems->Finding the Productivity of the Team Given the Personal Productivity"
] |
2023-07-07T00:00:00 | a59f135bac214a5da575b9ce4f066823 | 1 | short_answer | What is $30 \%$ of two thirds of $45$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | b6b08041a7514720a1278986419ff0cb | 0 | short_answer | Find the number $$B$$ such that the following statement is true: $$8\times B = 3\times9+5\times9$$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication"
] |
2023-07-07T00:00:00 | bbda3a80787243eab22a64bb52857096 | 1 | short_answer | The sum of fifteen consecutive numbers is $$1650$$. What is the sum of the largest and smallest number? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | da6271db0c0242c5935ddca8b62ae82b | 1 | short_answer | Jow bakes some apple pies. He can give them equally to either $$4$$ or $$6$$ friends.. What is the smallest number of apple pies Joe could have baked? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | c11a8651ce514fa998ed30b3b9b53658 | 1 | short_answer | There are $$200$$ pages in a storybook. How many times does the digit `$$4$$' appear in the page numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Questions Involving Page Number"
] |
2023-07-07T00:00:00 | e5c0ab18d1ae4d8d82cff69be28b3579 | 0 | short_answer | In a country dance there are $3$ boys and $2$ girls in every line. $42$ boys take part in the dance. How many girls take part? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio->Knowing Ratio"
] |
2023-07-07T00:00:00 | c465c0e7f9a94f92b6df9d60a786dffa | 2 | short_answer | A number is oddtastic if all of its digits are odd. For example, 9, 57 and 313 are oddtastic. However, 50 and 787 are not oddtastic, since 0 and 8 are even digits. How many of the numbers from 1 to 999 are oddtastic? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | b678890a19374c38ad59d1486f4db916 | 1 | short_answer | Fill in the blanks. $a\div8=\Delta R6, b\div8=\nabla R7. Then the remainder of (a+b)\div8=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder "
] |
2023-07-07T00:00:00 | 439bd1eb78b4450ebb4e7f6c4c72416e | 1 | short_answer | A dressmaker had $$45\text{m}$$ of cloth. She used some cloth to make $$8$$ identical skirts and the remaining cloth to make $$2$$ identical blouses. She used $$2.83\text{m}$$ of cloth for each skirt. How much cloth did she use to make each blouse? Round your answer to one decimal place.~\uline{~~~~~~~~~~}~$\text{m}$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 14a5a44068684024a8f1f67d00758fe4 | 1 | short_answer | Work out $$2189 - 1056$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | d54fa4b78c5640dab674ce3faf979b3b | 2 | short_answer | Find the $$2019^{\text{th}}$$ digit in the number $$12345678910111213\cdots 998999$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations"
] |
Subsets and Splits