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stringclasses 5
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2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 1b3d94be63ab433dbec37b999532440f | 2 | short_answer | There are 5 red flowers, 2 green flowers and 3 white flowers in the store. Each red flower sold at~£2, each green flower sold at £5 and each white flower sold at £10. Find the average selling price per flower. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 5260e448b7bd48408f279f75b3bc994b | 1 | short_answer | There are $$24$$ tricycles and cars in a park in total, a car has $$4$$ wheels and a tricycles has $$3$$ wheels. There are $$86$$ wheels in total. How many tricycles are there in the park? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 2eb9b96314cb4e659c476a8f2b9a7a6e | 1 | short_answer | Mary is making watermelon juice. It will take $$1$$ minute for washing watermelons, $$3$$ minutes for washing glasses, $$4$$ minutes for the juicer working, and $$1$$ minute for pouring the juice. At least how long will it take for Mary to finish making juice?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | 7811a75321754070a2499adf8af1bec1 | 1 | short_answer | Lewis has $$60$$p. James has £$$1.10$$. How much money do they have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 5ef1c9a0438447ba9288b3fd84a1e5ea | 1 | short_answer | In how many different ways can the letters in the word \textquotesingle WINNING\textquotesingle{} be arranged? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | d500548212784181ae868f27144944a3 | 1 | short_answer | The owner of a book store wants to split $$13$$ identical exercise books into $$3$$ stacks. How many different ways can she split them if each stack must have at least $$3$$ books? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | 484ad20b23084a80a71997e86aafbbee | 0 | short_answer | Calculate $7 \times 0.4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | cc8c61240c93470c82d6885fe1441a98 | 1 | short_answer | The examination paper of six students are mixed together. How many different ways are there if all six students do not get their own paper? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | e4dd70bfb9454c2286a8726ee86d101c | 3 | short_answer | The teacher wrote the numbers $$1～13$$ on $$13$$ separate paper. She randomly picked $$9$$ of it and stick it on the forehead of $$9$$ students. The students are able to see the numbers of the other $$8$$ students but are unable to look at their own number. Teacher: Students that know the number of different factors your number has, please put up your hand. *Two students put up their hands.* Alice: Although I do not know my own number, but I do know that it is an odd number. May: My number is smaller than Alice\textquotesingle s by $$2$$ and bigger than Mark by $$1$$． What is the product of the four numbers that were not picked? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | 4fdb62c377d747f98107b2670277dd88 | 1 | short_answer | Ronald sold drinks at a sports match. He sold bottles of lemonade at ＄$$4$$ each and bottles of "$$1000$$ Plus" at ＄$$7$$ each. He started with a total of $$350$$ bottles. Not all were sold and his total income was ＄$$2012$$. What was the minimum number of bottles of "$$1000$$ Plus" that Ronald could have sold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Indefinite Equation Word Problems"
] |
2023-07-07T00:00:00 | f881913e5ff54d8ea9433a89abb125b9 | 1 | short_answer | There are $$96$$ blue pens and red pens in a box. The ratio of the number of blue pens to the number of red pens is $$3:5$$. When $$60$$ red pens and some blue pens are added into the box, $$40 \%$$ of the pens are blue. How many blue pens were added into the box? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] |
2023-07-07T00:00:00 | 35f28b203ccb40b1b46923de84a56ccb | 1 | short_answer | How much force is required to cause a stationary object of mass 2 kg to reach a final velocity of 8 m/s in 4s? | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Position (Slides)"
] |
2023-07-07T00:00:00 | f0db0aaf0c984695962fd98c327d2267 | 1 | short_answer | Find a whole number between $$0$$ and $$100$$ that has the following properties. When the number is divided by $$4$$ the remainder is $$0$$. When the number is divided by $$7$$ the remainder is $$6$$. When the number is divided by $$5$$ the remainder is $$0$$. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder ->Questions Involving Remainders"
] |
2023-07-07T00:00:00 | 4f1a75cb742a439caf72488bf6da4ab6 | 1 | short_answer | A fried chicken shop sells wings in boxes of $3$ and boxes of $7$. It is possible to purchase any combination of the two boxes. Some numbers are impossible to purchase exactly, such as $6$ wings. What is the largest number of wings that cannot be purchased exactly? Explain your answer. | [
"Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving"
] |
2023-07-07T00:00:00 | 94f9a30088f14e23ad5d292b0a21a0e4 | 1 | short_answer | Calculate $20172017 \div 2017$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division in Vertical Form"
] |
2023-07-07T00:00:00 | eb8fb6f94cc1474ca839b50b4b0ce425 | 1 | short_answer | In a mathematics contest, a student would gain $$5$$ points for each correct answer and lose $$2$$ points for each incorrect answer or unanswered question. The number of correct answers that Jane got is $$12$$ more than three times the number of incorrect answers she got. Jane got a total of $$151$$ points in the contest. How many correct answers did she get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 31547fbcddfa44d195f62ee2a144d7f9 | 1 | short_answer | (UK St Paul's Girls School Sample Paper Section $A$ Question $$19$$) The cost for using a minibus is $￡2.42$ for each kilometre. $11$ friends go on a $32$ kilometre journey using $1$ minibus. They share the cost equally. How much does each person pay? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | 392b16f9a6ac48cca42c471b49e63670 | 1 | short_answer | Calculate $$45+66$$ in a base $$7$$ number system. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"
] |
2023-07-07T00:00:00 | cbc6325d9c534f4b9977c61b302c8d0c | 2 | short_answer | There are $$30$$ children in Mrs Patel's Year $$6$$ class. $$8$$ of them are wearing glasses. $$12$$ of them are wearing a watch. $$7$$ of them are wearing both glasses and a watch. How many are wearing neither glasses nor a watch? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 8b67176726654523a82d12a0a53e5a72 | 1 | short_answer | Seven students, $$A$$, $$B$$, $$C$$, $$D$$, $$E$$, $$F$$ and $$G$$ are playing a chess match. So far, $$A$$ has played $$4$$ matches, $$B$$ has played $$6$$ matches, $$C$$ has played $$2$$ matches, $$D$$ has played $$1$$ matches, $$E$$ has played $$3$$ matches and $$G$$ has played $$5$$ matches. At this point, $$F$$ has played~\uline{~~~~~~~~~~}~matches. | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 15d3db4f4eda491babda7b41a87df4bd | 1 | short_answer | A positive integer $$N$$ can be divided by $$18$$ numbers from the first $$20$$ natural numbers ($$1$$ to $$20$$). The two numbers that cannot divide $$N$$ happened to be consecutive numbers. Find the sum of these two numbers. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders"
] |
2023-07-07T00:00:00 | a4b725f5709b47a982b182d038fac1ef | 1 | short_answer | Work out $628 \times ~5$ | [
"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 | 11d22bb6c3c14854bb9338e27e427226 | 1 | short_answer | When Cici was born, Linda was $11$ years old. The sum of their ages $4$ years later will be $37$. How old will be Linda $3$ years later? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 066d9987dbaf460b8056b1fcc71dd3f4 | 1 | short_answer | Calculate $67 \times 23$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | f19f57dc40604eba86f9d7b2bb0b2c70 | 1 | short_answer | Jamie-Anne and Natasha both collect stamps. The ratio of the number of Jamie\textquotesingle s stamps and the number of Jamie\textquotesingle s Natasha is $5:3$. If Jamie-Anne has $18$ more stamps than Natasha, how many stamps do they have in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | ba994c84bc354e9ebb8e56f799001f32 | 1 | short_answer | Find the sum of all numbers greater than $160$ that give the same quotient and remainder when divided by $15$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence"
] |
2023-07-07T00:00:00 | 8e079aa33fac45e2933fe8f9f57347fe | 1 | short_answer | Calculate: $$5+9+13+17+\cdots+85$$． | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | 95171e30845347a5a0bcbd146bae2a00 | 0 | short_answer | Two numbers are such that * the first number is greater than or equal to $$5$$, but less than or equal to $$8$$ * the second number is greater than or equal to $$2$$, but less than or equal to $$10$$ Find the least possible value of the sum of the two numbers. | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | bc39719692424efd97a67922f5478c31 | 1 | short_answer | Mary walks uphill for $$300 $$ m from her home to school at a speed of $10$ m/min, but walks at a speed of $30$ m/min from school to home along the same route. What is her average speed, in m/min, for the round trip? | [
"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 | bdd45d02da3a4de3baed4b719bcf043f | 0 | short_answer | $15.2-5.7$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | e3abc3aab67f4f7b981e00c65dd7ce44 | 2 | short_answer | There are 5 entrances to a zoo. Tina, Joe, Mike, and Black are going to visit the zoo. They can choose the same entrance, or different ones. The order in which the four people enter the zoo is uncertain. How many different ways are there for them to enter the zoo? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | adb3d1fd535a48be8776775afaca3c49 | 1 | short_answer | Woofy has 18 peaches. He wants to put 2 peaches in a bag. How many bags does he need? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 8f4e94438ebd4f19ae675530ee3c1dd8 | 0 | short_answer | $226$ apples, $352$ pears and $157$ oranges are distributed equally among some students with $10$ apples, $28$ pears and $13$ oranges left over. What is the biggest possible number of students? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | f03076a28d8c4de9b99cc80f1669e699 | 1 | short_answer | Judy and her five friends stand in a line to perform on stage. Given Judy must stand in the first or the last place of the line, then in how many different ways can they form the line? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 9f777ba0c7da4ecd859df39dac23c0ff | 1 | short_answer | Raju is thinking of two numbers. Their common factors are only $$1$$ and $$2$$. Their first (lowest) common multiple is $$12$$. If one of the numbers is $$6$$, what is the other number? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 2f084b925d5c4e3c8e7edcf07200e325 | 2 | short_answer | Kim writes all the positive integers without leaving any gaps: $$123456789101112131415\dots$$ What is the $$200^{}\text{th} $$ digit that Kim writes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations"
] |
2023-07-07T00:00:00 | 20029a5838a5496b81ff40af3d12651e | 1 | short_answer | A factory produces $500$ televisions every day. In a state-level quality evaluation, a qualified TV product is worth $5$ points, while $18$ points are lost for every unqualified product. Given that the factory got $9,931$ points during four days, how many qualified products were produced in total during these four days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | b0092c2c2ecd4457baa2ed73067b8fd5 | 1 | short_answer | A shirt is priced at $$ $40$$ more than the cost. A customer buys it with twenty percent off. The profit is $$ $12$$. What is the cost of the shirt? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 452e139840314890bf5003e2f7071e6c | 1 | short_answer | $6.25 \times 8.27 \times 16+1.25 \times 0.827 \times 8=$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | b7b52b9389844c4ca62d9f3110155373 | 1 | short_answer | Two years ago, Daniel\textquotesingle s age was $6$ times of his daughter\textquotesingle s age. Two years from now, Daniel\textquotesingle s age will be $4$ times of his daughter\textquotesingle s age. How old is Daniel this year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | 9ed2edaef1a74aa7ab2da7a4c1e1e5ba | 3 | short_answer | Points $$P$$ and $$Q$$ are $1800$ metres apart. April and Baye started walking from $P$ to $$Q$$ at the same time. April arrived at point $Q$ first and turned to run towards $P$ at $4$ times of her original speed. She then met Baye $800\text{m}$ from $Q$. When April arrived back at $P$, how many metres was Baye away from $$Q$$? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 8646401fa22043b3be02e989c5192b0a | 3 | short_answer | The number of hens in the farm is 6 times that of roosters. Later, the number of roosters and hens increased by 60 each. As a result, the number of hens is 4 times that of roosters. How many chickens did the farm keep before? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 5018d5ab300649cebcf5c45010bddd83 | 1 | short_answer | The mean of seven numbers is $12$. An eighth number is included and the mean decreases to $11$. Find the eighth number. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | a4a8d66b728347868536b3995b8fc695 | 1 | short_answer | Please calculate the following questions． $$1+2+3+4+5+6+7+8+7+6+5+4+3+2+1+1+2$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | d9216e847ffd4805a2ca577a27228cc1 | 1 | short_answer | What is the $2021\text{st}$ digit of $0.\overset{.}{\mathop{5}}3846\overset{.}{\mathop{2}}$ after the decimal point? Pip\textquotesingle s answer: $$2021\div 6=336\cdots \cdots 5$$ The $2021\text{st}$ digit is $5$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 216f3c5f6bd1448286cfaa40eb464d6f | 1 | short_answer | How many digit "$9$"s are there from numbers $1$ to $100$? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 8f3600a93e7c46e28e43d9b4b9104ddc | 1 | short_answer | $8000 \times 0.7$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 69c45c2ab19846ef90c4ca25ad543301 | 1 | short_answer | 375+753+537+357+573+735=~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | dfbce185a0d1406bb45782f37f1adb2b | 1 | short_answer | A palindromic number is a number that can be read the same forwards and backwards, $e$.$g$. $33$ and $797$. How many of such numbers are there between $10$ and $1000$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering->Forming Multi-Digit Numbers->Symmetric Numbers"
] |
2023-07-07T00:00:00 | 47d4d71ebd964d418d18b5348710fb9b | 1 | short_answer | Here is a sequence as follows: $$2$$~ $$3$$~ $$1$$ $$4$$ ~$$2$$~ $$3$$~ $$1$$ $$4$$ ~$$2$$~ $$3$$~ $$1 $$ $$4$$ $$\cdots \cdots $$ What\textquotesingle s the $$100$$th number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Basic Permutation"
] |
2023-07-07T00:00:00 | e2ea592e99324a6b86bbb07ba971a430 | 2 | short_answer | Bud had some money. She spent $$\frac{1}{3}$$ of it on a book and $$\frac{2}{5}$$ of it on a bag. The book and the bag cost £$$132$$ altogether. How much money did she have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | dbc4269e2e99475794fddbd7d1e826c6 | 2 | short_answer | Calculate: $$(1+0.23 +0.34)\times (0.23 +0.34+0.45)$$ $$-(1+0.23+0.34+0.45)\times (0.23 +0.34)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Substitution Method of Decimals"
] |
2023-07-07T00:00:00 | 1ccbabdc7f034326be8b94b02ccbf7ad | 1 | short_answer | The mass of Parcel A is $5$ times the mass of Parcel B. The mass of Parcel C is $75$g less than the mass of Parcel B. If the total mass of the three parcels is $835$g, find the mass of Parcel A. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | c249f8e6939148b99f296ae70f7cf7e8 | 1 | short_answer | $4125-837$. | [
"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 | a93778b948054d42ad167593922df9c6 | 1 | short_answer | There are $5$ blue, $8$ green and $6$ white beads in a box. At least how many beads must Darrell draw from the box to get $$5$$ green bead for sure? | [
"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 | 101e7c9b793b4e26ac47357202b6291d | 1 | short_answer | Among the natural numbers $1-105$: How many are divisible by $5$ or $7$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 2b1f58b0e57c45099538b16cb3f3c104 | 1 | short_answer | A story book has $$215$$ pages which are numbered from $1$ to $215$. How many digits are used in numbering this book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | eca2b23e39bc4c299b30d3fbc9b3d73d | 1 | short_answer | What $$5$$-digit number has the following features: If we put the numeral $$1$$ at the beginning, we get a number three times smaller than if we put the numeral $$1$$ at the end of the number? In other words, if you think the answer is the number $$34567$$, then you want the number $$134567$$ to be one third of $$345671$$, but it isn\textquotesingle t, so what\textquotesingle s the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | b45003629b394ccebb1e2b405d724add | 1 | short_answer | Noa has a notebook with $$81$$ pages. How many digits have been used for the page numbers in the notebook? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 1222cdddea1c4817bb25740ae257c8cd | 0 | short_answer | John needs $$12$$ minutes to walk up the stairs from the first floor to the fourth floor at a constant speed. At this speed, how long does he need to walk up the stairs from the first floor to the eighth floor? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 40d0f5e5a3d04db08f0040c8220611b9 | 1 | short_answer | How many possible ways are there to split $$6$$ apples into $$3$$ identical baskets (the baskets can be empty)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 979c9332296e4b05927d9ad6ccb64f02 | 3 | short_answer | In a park, the ratio of number of birds to squirrels is $$8 : 5$$. One year later, the number of squirrels increased by $$20 \%$$ and some birds flew away. Given that the total number of birds and squirrels remains the same, find the percentage of the birds that flew away.~\uline{~~~~~~~~~~}~$ \%$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity"
] |
2023-07-07T00:00:00 | 0591335fbeb544698580a0e98be03d2a | 1 | short_answer | Given~$a\odot b=5a-2b$, find~$6\odot2$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 1b2e33b69c4341748d743ea3c35f44bd | 1 | short_answer | In a division equation, the sum of the divisor, dividend, quotient and remainder adds up to $40$. Given that the remainder is $3$, find the number of possible values of $\frac{\text{Dividend}}{\text{Quotient}}$. ~\uline{~~~~~~~~~~}~$\div$~\uline{~~~~~~~~~~}~$=$~\uline{~~~~~~~~~~}~R~\textbf{3} | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 9c0a5f1ed9254394ae35f6dd067361f9 | 1 | short_answer | Wendy eats an average of $15$ pizzas a month. Find the total amount of pizza she eats in March to July. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | 14d6fb53ee054b819a454314775c99b9 | 1 | short_answer | Fiona, Gary and Harold went to pick some strawberries. Fiona and Gary picked $973$ of strawberries in total. Fiona and Harold picked $1823$ of strawberries in total. Harold picked $6$ times as many strawberries as Gary. How many strawberries did Fiona pick?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 6fec75e44860480685b5445a5272826d | 1 | short_answer | Dave just bought a new book and on the first day, he read $$30$$ pages. Starting from the second day, the number of pages he read increased by $$4$$ pages, and Dave read $$70$$ pages on the last day. How many days does Dave finish reading the book? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 1804adbd1c694fbf927bc62b4de481a7 | 1 | short_answer | $$32\times 2.99$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | 5b2b9a10bf9b44c1988bdcc8f01d4a18 | 1 | short_answer | Given $$4$$◈$$7=21$$ $$6$$◈$$22 = 20$$ $$8$$◈$$30=26$$ Find $$9$$◈$$20$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns"
] |
2023-07-07T00:00:00 | 21f2e786c44e43fd8fbda4a44480bfbf | 1 | short_answer | Janice\textquotesingle s mother bought $$8$$ cartons of orange juice. Each carton contained $$3$$ ℓ of orange juice. After drinking $$9$$ ℓ of the juice, Janice\textquotesingle s mother wanted to pour the remaining juice into containers that had volumes of $$5$$ ℓ each. How many container did she need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | edb6ff670e7a48e9aef3d4e832e24086 | 1 | short_answer | What is the next term in this sequence: $7, 15, 23, 31, \ldots$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 1abbedb2f71c4dbab5df55bde5e26a5d | 1 | short_answer | Compute the following series: $$1+2+3+4+5+\cdots +45+46+47+48+49+50.$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 7bb759a90ae748649b4ddfa82640d631 | 1 | short_answer | Calculate: $$782-9\times 52\div 2$$ $ $ $ $ $ $ $ $ $ $ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 9cd1a6eac3734a348b37444a5f4ed5e0 | 0 | short_answer | What is $7 \times ~8$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication within the Multiplication Tables"
] |
2023-07-07T00:00:00 | de32a278ca184c9c9f171ce6754bd1c9 | 2 | short_answer | On a certain planet, the following equations are true. $$D + A+ R +T=11$$ $$T+A+R+T=12$$ $$C+ A + R+T=13$$ Each letter represents a different integer. No letter takes the value $$0$$. Find the largest possible value of $$A + R+T$$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 1b458ff9afcc4e6694b4762bc4c0b43d | 1 | short_answer | Given $$\frac{5}{9}{}\textless\frac{9}{A}{}\textless1$$, where $$A$$ is an integer. Find the number of possible values of $$A$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"
] |
2023-07-07T00:00:00 | 83fd4800ad634c9cb2b8e8bbefea460b | 1 | short_answer | Luna the baker can make $7$ loafs of bread with every $4$ cups of flour. How many cups of flour does Luna need to make $35$ loafs of bread? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 71733d004c514cf2bf9b3a3ddaab0766 | 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 | 630d3f51949a4ab29f59d2121794d3d7 | 3 | short_answer | In a class gathering of $$39$$ students,~$\tfrac{1}{4}$~of the boys is equal to~$\tfrac{2}{5}$~of the girls. How many more boys than girls are there at the gathering? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 1af542041fcd45c9a176b5924756243f | 1 | short_answer | In the first row of a school choir team, there are $$3$$ members on the left of Tanya. There are $$5$$ members on the right of Tanya. How many members are in the first row of the school choir team? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of Two Characters in a Line"
] |
2023-07-07T00:00:00 | 42831d4ef6484891b15f159d0746344e | 1 | short_answer | $52\div\dfrac{2}{3}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 33a1b183569242aa916ecbe40586c0c7 | 1 | short_answer | The largest four-digit factor of $$87878$$ is a prime number. What is it? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Prime Factorization (Equations)"
] |
2023-07-07T00:00:00 | c8f89b66009449e3865d5474344519ce | 1 | short_answer | At Think Olympics, Jack completes an $$800-$$metre race. He runs the first $$280$$ metres at a speed of $$7$$ metres per second, the middle $$400$$ metres at a speed of $$5$$ metres per second, and in the final sprint stage, Jack runs at a speed of $$8$$ metres per second. How long did Jack take to finish the entire race (in seconds)? | [
"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 | 8d22899bdd964169a2e962c83bfbcbd5 | 1 | short_answer | A transport company\textquotesingle s vans each carry a maximum load of $$12$$ tonnes.A firm needs to deliver $$24$$ crates each weighing $$5$$ tonnes. How many wans are needed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | d0dd7735401a440189d8289ae8ab1028 | 3 | short_answer | Daniel and Patrick had an equal number of stickers at first. Daniel then gave away $$24$$ stickers to his friend Melvin, and Patrick bought another $$10$$ stickers. In the end, Patrick had twice as many stickers as Daniel. Find the number of stickers Daniel had at first. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 3cac306af46048b1913124fd77518e07 | 0 | short_answer | $$$$Calculate$$$$ $（128-（24+16)\div5)\times2$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 82b6a8beca7d4600a963dd45eccccf7d | 1 | short_answer | The number $$3$$ can be split in three different ways by adding positive whole numbers together as follows $$1 + 2$$, $$2 + 1$$ and $$1 + 1 + 1$$. Using the same method, in how many different ways can the number $$5$$ be split? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers->Simple Splitting Numbers->Splitting Numbers (without requirement)"
] |
2023-07-07T00:00:00 | f701b731918b424b845fa7f5be85cca5 | 1 | short_answer | What is the smallest two-digit number that can be divided by 3 and 7? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | b9cbfde4746d478da4ea66e77bc853b0 | 1 | short_answer | Students in Class $2A$ were doing sit-ups. In $1$ minute, Henry did $$17$$ sit-ups and Jack did $$10$$ more than $$3$$ times that of Henry. How many sit-ups did Jack do? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 069dc14c48254481a3bc04db18550ed3 | 0 | short_answer | A whale is $82$ metres below sea level. A plane is directly above the whale and $569$ metres above sea level. Find the vertical distance between the whale and the plane. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | ce865959d3344e57a3aaf073ee2bb3fb | 1 | short_answer | A Year $$6$$ class has $$30$$ pupils. There are $$21$$ who are right-handed. There are $$16$$ girls in the class. Not all the girls are right-handed. What is the smallest number of girls who are right-handed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Overlapping->Overlapped (sets)"
] |
2023-07-07T00:00:00 | 466b36af3a8446caafde7a548b3f78e0 | 1 | short_answer | What is the smallest possible difference between two different nine-digit numbers, each of which includes all of the digits $$1$$ to $$9$$? For example the two numbers could be: $$123456789$$ and $$987654321$$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)"
] |
2023-07-07T00:00:00 | d7f813e5b15745bbaf0c9127836fa459 | 1 | short_answer | Rena bought some fruit at a grocery store. $$\frac{2}{3}$$ of them were apples, $$\frac{1}{9}$$ of them were bananas and the rest were lemons. She bought $$12$$ more apples than lemons. How many lemons did Rena buy? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Converting Between Different Units of Measure 1"
] |
2023-07-07T00:00:00 | ec878d4f92a64aa1ab12f86c3fa8a94b | 1 | short_answer | In the clothing factory, each worker can make six skirts each day. The factory only had one worker on the first day, and another worker joined on the second day. Each day thereafter, a new worker would join. How many skirts have they made in total for nine days? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | fffb4e32f90b489bbe7949d334d8186e | 0 | short_answer | $$45\times52=2340$$. What is $$234000\div520$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Fast Multiplication and Division of Whole Numbers"
] |
2023-07-07T00:00:00 | 2d6aea4ba7814aac9c2750870ec89264 | 1 | short_answer | Jenny eats $6$ pieces of pizza, and she eats $5$ fewer pieces than Qiqi. How many pieces of pizza does Qiqi eat? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 87b40651078348b78ccc888ac86bf65e | 1 | short_answer | The probability of an animal A living over 20 years old is 0.6, and the probability of living over 25 years old is 0.3. If there is a 20-year-old animal A, what is the probability of it living over 25 years old? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 35851918f9924fceb5a562dd5d192675 | 1 | short_answer | $5$ taps take $2$ minutes to fill a $1$ litre jug. How long it takes for one tap to completely fill a $500\text{ml}$ jug? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | de4ad58a954b4989ae634d7131538ded | 1 | short_answer | John and his brother have a total of $$246$$ erasers. John has $$32$$ more erasers than his brother. How many erasers does his brother have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 4c87648eb039475abd9708a1ed7cecfa | 1 | short_answer | What is the sum of the following numbers? $$1 + 3 + 5 + 7 + 9 + 12 + 14 + 16 + 18 + 21 + 23 + 25 + 27 + 29 =$$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition"
] |
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