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timestamp[s] | queId
stringlengths 32
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stringclasses 5
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value | problem
stringlengths 6
2.89k
| knowledge_point_routes
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | b488441291104e42b32567c3545040a8 | 1 | short_answer | Everything at the store is 80\% off, Tiffany spent $$6400$$ dollars on a fridge and a washing machine, how much money did she save？ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 05b194fb5bbb4281aed3fa88a9af81f6 | 1 | short_answer | A prism with a square base of side length $7\text{cm}$ has a $3\text{cm}\times3\text{cm}$ square hole cut through vertically. If the volume of the prism is $320\text{cm}^{3}$, what is the height of the prism? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | e31b6f292ecc4753a2d83469dc4590f1 | 2 | short_answer | There are $8$ people sitting around an eight-seater circular table. Amy and Judy must sit together. How many different orders are there for them to sit? (If we can get the same order after rotating the table, then we regard the two orders as the same one.) | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | f21d41597e6646d3be1d07eaad6c595f | 1 | short_answer | Cut a round paper in to $$46$$ pieces, how many times of cutting are needed at least? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Operational Problem->Cutting Pizza"
] |
2023-07-07T00:00:00 | 871597fa52dc4a36a7d42eaa6aca7343 | 1 | short_answer | Find the $$2008^{\rm th}$$ number of the following number sequence. $$1$$, $$1$$, $$2$$, $$1$$, $$2$$, $$3$$, $$1$$, $$2$$, $$3$$, $$4$$, $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$\cdots$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 449ef10f90444f13893b5ba270bc69ce | 1 | short_answer | (UK The Kings School Chester Math Matics Sample paper$1$ Question $$17$$) $3 x$'s balance with $10 y$'s. If one x weighs $1.5$g, how much does one y weigh? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Fraction and Decimal Coefficient"
] |
2023-07-07T00:00:00 | 3893320e66ba431cbd94be3d97bd7bad | 2 | short_answer | Calculate the following questions using multiplication skills. $35\times24$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | c3a6b54c36ae43b689f9746376889267 | 0 | short_answer | $$6+10+14+18+22+26=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 102d1f62f1754310866b41a5ade5f3d8 | 1 | short_answer | Tommy was selling some fruits. He sold $$27$$ tomatoes. The number of tomatoes he sold was $$3$$ more than $$3$$ times that of cucumbers. How many cucumbers did he sell? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 1772deb848c44e73a5983aef50ac6df7 | 1 | short_answer | How many different three-digit numbers can be formed using the numbers $$3$$、$$5$$、$$9$$?（without using the same number two times like 33 ） | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | d18ff02cbbaf44fa82bc520bd52cd64e | 1 | short_answer | How many three-digit numbers are there that have the sum of their digits equal to $5$? (For example, $122$ is such a number, because $1+2+2=5$.) | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers"
] |
2023-07-07T00:00:00 | 2f72bb76e3534c5eb2dc23ed6c53c0ad | 1 | short_answer | What is the sum of the numbers that range from $$1$$ to $$100$$ when divide by $$5$$ give you a remainder of $$2$$ ? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 36f6ee82d6634a45b07c1a4564134d1c | 1 | short_answer | A bat ate many mosquitoes in $31$ nights. Each night she ate $$6$$ more than the night before. She ate $100$ mosquitoes on the $16\text{th}$ night. How many mosquitoes did she eat in $31$ nights? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | a669b2ca57f844deb0cba08516ef70d7 | 1 | short_answer | Pip has 15 bags of chips. He gives one third of these to Avril. How many sweets does he have left for himself? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 8fc9c10f7d7b46d7b2146cde6378f1ae | 2 | short_answer | Chris and Dylan are playing a game. Here are the rules： 1. There are $$7$$ matches placed in a row. 2. The players take turns removing either $1$ or $2$ matches each turn. 3. Whoever picks the last match wins the game. Chris starts first and is followed by Dylan. To ensure his victory, how many matches must Chris take away in the first turn? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy"
] |
2023-07-07T00:00:00 | e9072c6898d44fc28e315a6cd5657cfa | 1 | short_answer | All the letters stand for different digits. Find the value of the $$3$$-digit number $$\overline{ABC}$$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | fb0a5cc20da34586a21b00309dee0247 | 2 | short_answer | In the following, all the different letters stand for different digits. What is the value of the $4$-digit number $DBEC$? $ABAC + DBEC = ACEDC$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d32e98ac3f874eebacbd202b7baa856f | 1 | short_answer | How many minutes are there between $9.23\text{am}$ and $1.06\text{pm}$? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | c2a0bced20654e69a37a8243f7a0a817 | 0 | short_answer | $$1.6+2.3+3.4+12.2+5.7-2.2$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 9391ddf6c35a4fde8892b40958afa033 | 1 | short_answer | Work out: $64^{2}-36$ Pip\textquotesingle s answer: $=(64+36)\times(64-36)$ $=100\times28$ $=2800$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula"
] |
2023-07-07T00:00:00 | 8321d60a92fb4651bd00bbee4c13a137 | 2 | short_answer | How many different choices are there for him to choose a restaurant to eat at | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 14fb2dfc36d7462d9626934b2a9875a3 | 1 | short_answer | Calculate: $1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9+8+7+6+5+4+3+2+1$ =~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 3947062555df4a428b3e6b98a885d729 | 0 | short_answer | Angel bought $3$ notebooks, $4$ pencil cases and $5$ erasers at $$$50$$. A notebook and a pencil case cost $$$6$$. A pencil case and an eraser cost $$$8$$. How much did a pencil case cost? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Comparing"
] |
2023-07-07T00:00:00 | d4673ee1fc2f411f9eea5d8fc0e540a6 | 2 | short_answer | Calculate: $$53-50+47-44+41-38+35-32+29-26+23=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 067406b4f4a04fa6a7916a17ca92b1ad | 0 | short_answer | Work out $$6.6\times30$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 7da62cc10f93447ebd5250a89d0612a9 | 1 | short_answer | The wet market is $48 \rm m$ from Auntie Lina\textquotesingle s house. Auntie Lina can walk $8 \rm m$ in one minute. How many minutes does it take her to reach the wet market? Auntie Lina thinks that she just needs~\textbf{$$5$$} minutes. Her working is done below: Time taken: $$48\div 8 = 5$$ Is she correct? If she is wrong, write the correct answer. | [
"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 | c17044f418d74fb09f393b68cc8342fd | 1 | short_answer | In the following, all the different letters stand for different digits. Find the value of $$\overline{AEEA}$$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | 85353e1815e64de9b01672fd4faa3880 | 1 | short_answer | There are $4$ people in Lucy\textquotesingle s family with an average age of $25$. The ages of Harry, Harry\textquotesingle s mom, Harry\textquotesingle s sister are $14$, $36$, and $10$, respectively. What is the age of Harry\textquotesingle s dad? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 006b398886584c478594347960619995 | 1 | short_answer | Circle the measurement which is closest to the height of a classroom door. $83\rm m$~ ~$200\rm cm$~ ~$8\rm cm$~ ~$\frac{1}{2}\rm m$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units"
] |
2023-07-07T00:00:00 | 467fa0f0921245c98f8470b073242438 | 0 | short_answer | Work out $$16.4\div20$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | d795930cfe064a999cc8e819cdf13cda | 2 | short_answer | $$450$$ digits are used for printing the page numbers of a book. How many pages does the book have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence of Specified Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 30df93da324249439f56623ab48606d3 | 1 | short_answer | $6.48 \div 6$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 2132f99db9344be4a83936b1da90a005 | 1 | short_answer | Leonard used $\frac{5}{12}$ of his money to purchase lunch for his friends. In the evening, he used $\frac{2}{7}$ of the remainder to purchase dinner for his family. He had $ $45$ left. How much did he have at the beginning? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | c0bcad55039843688a280266a75e3093 | 1 | short_answer | Yuki bought a book, Lonely Planet: Cuba. $1524$ digits are printed in numbering this book consecutively from $1$. How many pages are there in this book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 9df2844209ab4b48bb9e7656aff7a72a | 2 | short_answer | A singles tournament had five players. Each player played every other player only once, with no ties. If Lily won $$2$$ games, Eva won $$1$$ game, Tina won $$4$$ games and Emma won $$3$$ games, how many games did Gina (the fifth player) win? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | d94b3c942f214ed29b7cb5c2b4f59231 | 1 | short_answer | Work out : twice the difference between the largest and the smallest number $$12$$,~ ~$$6$$,~ ~$$9$$,~ ~$$21$$,~ ~$$7$$,~ ~$$23$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 104e0f1c1be44d5eb09a1de0f61c9249 | 3 | short_answer | A skier starts from rest at the top of a 20°~incline and skis in a straight line to the bottom of the slope, a distance d (measured along the slope) of 400 m. If the coefficient of kinetic friction between the skis and the snow is 0.2, calculate the skier\textquotesingle s speed at the bottom of the run. | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Position (Slides)"
] |
2023-07-07T00:00:00 | 18b4e19a2a474b58a2286cdb4391548c | 1 | short_answer | Eddie and Avril competed in a road safety quiz. They agreed on the following rules: 10 points will be rewarded to the person with the correct answer; 5 points will be deducted otherwise (wrong answer or skipping the question). They each answered $10$ questions and got $155$ points altogether. If Eddie got $15$ more points than Avril, how many questions did Avril answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 39ac13b16ca64d7da0d126da55ae389f | 1 | short_answer | For every $$4$$ shirts Sally bought, she will buy $$1$$ bag. Each shirt costs $$ $5$$ and each bag cost $$ $10$$. She spent $$ $300$$ altogether. How many shirts did she buy? Marcus\textquotesingle{} workings were as below: $ $5+ $10= $15$ Number of groups $= $300\div $15=20$ groups Shirts bought $=20\times1=20$ shirts She bought $20$ shirts. Is Marcus\textquotesingle{} solution correct? If not, how many shirts did Sally buy? Show all your workings. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | 6045ecc17a8240cf847e28c4ca7327a7 | 1 | short_answer | $$6$$ men can complete a job in $$5$$ days. $$5$$ women can complete the same job in $$6$$ days. In how many days will $$10$$ men and $$5$$ women complete the job? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 3028ecd60fde4f939707e80ce57d6888 | 3 | short_answer | There were thrice as many boys as girls in a gathering. After $$12$$ boys left the gathering and another $$20$$ girls joined the gathering, there was an equal number of boys and girls that remained at the gathering in the end. Find the number of boys at the gathering at first. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 9a8905e262ef43708efc95e6c13e0dd2 | 1 | short_answer | Mrs Ronald has $$3$$ types of coffee beans. Type $$A$$ coffee beans weigh $$56\text{kg}$$, Type $$B$$ coffee beans weigh $$96\text{kg}$$ and Type $$C$$ coffee beans weigh $$120\text{kg}$$. She wants to repack all the coffee beans into smaller packets of equal mass without mixing the different types coffee beans. What is the greatest possible mass of each small packet? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 3e2ad7353ee34db7941ef7f4ec470ad8 | 1 | short_answer | Find the sum of all positive factors of $$35$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 16622798daa848ff8e9a99b6b623c518 | 1 | short_answer | $$30$$ apples are distributed among $$6$$ children and each of them can get at least one apple. For the kid who gets the most apples, what\textquotesingle s the smallest possible number of apples he can get? | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 12f08cb98de1436099e711b0564dfc03 | 1 | short_answer | Alex makes a fruit salad using bananas, oranges and apples. For every $1$ apple, she uses $2$ bananas and $3$ oranges. Alex uses $24$ fruits; how many bananas does she use? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | eeb7e226b5c04108bc05a1e3a95a4b52 | 2 | short_answer | In this year, Anna is $$8$$ years old and her mother is $$44$$ years old. In how many years\textquotesingle{} time will Anna\textquotesingle s mother be $$3$$ times as old as Anna? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 5a83ea2badba4c79826ff79d1735c1b3 | 1 | short_answer | May and Nancy have equal number of pieces of ribbon. They each have a mix of long and short ribbons. The length of each piece of short ribbon is $40\textasciitilde cm$ and each piece of long ribbon is $70\textasciitilde cm$. May has $7$ pieces of short ribbon and Nancy has $18$ pieces of long ribbon. The total length of May\textquotesingle s ribbons was $2.4\textasciitilde m$ longer than the total length of Nancy\textquotesingle s ribbons. How many pieces of ribbon does May have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | f8678d8e2b9d4dccb1911a70b2606122 | 2 | short_answer | A farmer has $$12$$ chickens and rabbits. There are $$34$$ legs altogether. How many rabbits does the farmer have? Let\textquotesingle s try the assumption method! | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 70660cca1f444b77bd1bdaba3f54255b | 1 | short_answer | Jimmy made a sugar solution by mixing $55\text{g}$ of sugar and $220\text{g}$ of water. What is the concentration of the sugar solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 673c1a85dd1346948a16344e5724859d | 1 | short_answer | Calculate: $$2.4\times 52 \%+7.6\times 52 \% = $$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 0c6f163b77d54e46bc6a8eadb82bfd9d | 1 | short_answer | What is the largest two-digit number that can be divided by both $4$ and $5$ to get a remainder of $3$ ? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | c2b040f49df54d38991df78d71cf954e | 1 | short_answer | `Purple Fire' paint is made by mixing red and blue paint in the ratio $$3:1$$. If I want to make $$1$$ litre of `Purple Fire' paint, how much red paint do I need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 12caf8fca32e42febe42dd8469b710c0 | 1 | short_answer | Multiply $$345$$ by $$67$$. | [
"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 | a73aefc56ebe4450b1c222659aca3dbe | 1 | short_answer | There are two bookshelves, $A$ and $B$. If $A$ gives $B$ $40$ books, then they would have the same number of books. However, if $B$ gives $A$ $40$ books, then the amount of books of $A$ is $3$ times that of $B$. How many books did bookshelf $A$ have originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | b86990b313b04b95b9eb607238d03c25 | 2 | short_answer | The \textbf{mean} of the following eight numbers is $$6$$. Find the missing number. $$9$$~ ~ ~ $$7$$~ ~ ~ $$5$$~ ~ ~ $$8$$~ ~ ~ $$4$$~ ~ ~ $$1$$~ ~ ~ $$8$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 48066947c0b143dfbd61973b59fefc94 | 1 | short_answer | Ben has £$68$. He gives a quarter of this to his sister. How much does he have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | e3a1d4b27da044ddad1173a844dfb144 | 0 | short_answer | In a bag there are twice as many blue balls as red balls. There are $$18$$ balls altogether. How many blue balls are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Two Variables"
] |
2023-07-07T00:00:00 | a6e717d16ac04cf9b2916acf56c1b7e0 | 1 | short_answer | $$50$$ apples are distributed to $$8$$ children and each of them can get at least $$1$$ apple. The number of apple(s) for each child \uline{are different}. For the kid who gets the most apples, what is the least possible number of apples he can get? | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | db9996863bc84afb88970ac5c70f87dc | 2 | short_answer | There is a grassland where the amount of grass is decreasing at a steady rate every day due to desertification of the land. This pasture can feed 8 cows for 10 days, or 4 cows for 15 days. How many cows can it feed for 5 days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields"
] |
2023-07-07T00:00:00 | cacebdbc3369444fbebd09e2767b8146 | 0 | short_answer | Work out $$53\times84$$. ~\uline{~~~~~~~~~~}~ | [
"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 | 9f599323c52a4223810c1c60a307e07c | 1 | short_answer | The mass of $$12$$ identical packets of instant noodles is $$1.02\text{kg}$$. Find the total mass of $$4$$ such packets of instant noodles. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | 7886d22ab5aa4161949641294c6c9ba5 | 0 | short_answer | $4$ identical compact discs and $3$ identical tapes cost $£83$. If each tape costs $£9$, find the cost of each compact disc. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 857fbe5325ea47fa86a2d4c017f4e01b | 2 | short_answer | Will is doing a decimal division, but he forgets to put down the decimal point of the divisor $$1.22$$. The result turns out to be $$99.396$$ less than the true result. What is the value of the true result? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | ff48944eb4344d26a3b5d1bf2e5d6209 | 2 | short_answer | Hisham and Melissa had $$876$$ cards. Melissa had twice as many cards as Hisham. How many cards should Melissa give Hisham so that both of them have the same number of cards? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 040b8caf172f41a7bcb2b377bf7ecd95 | 1 | short_answer | Leonard writes down a sequence of numbers. After the first two numbers, each number is the sum of the previous two numbers in the sequence. The fourth number is $$6$$ and the sixth number is $15$. What is the seventh number in the sequence? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)"
] |
2023-07-07T00:00:00 | dc7c1534320d4d5cbcc1d4abeb592b2c | 1 | short_answer | Tasha thinks of a number, multiplies it by $$3$$ and then adds $$8$$. Her answer is $$35$$. What is the number she first thought of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 8c47f81c09cb40598f99de91467025a0 | 1 | short_answer | There are $$28$$ boys and $$32$$ girls attending Think Academy holiday camp. They can be divided equally into groups (each group has a fixed number of boys and a fixed number of girls). What is the greatest number of groups that can be formed? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 83961d28b4bb455eb81f2d3b79db70dc | 0 | short_answer | \textbf{$$n$$~}is the number of~ millilitres in $$1.7$$ litres. \textbf{$$n=$$~\uline{~~~~~~~~~~}~} | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"
] |
2023-07-07T00:00:00 | 0b7e4617d9c047468385d1998eb2f78f | 2 | short_answer | Evaluate the expression shown below: $$36 \left( \frac{1}{1\times 6} + \frac{1}{6\times 11} +\frac{1}{11\times 16} + \frac{1}{16\times 21} + \frac{1}{21\times 26} + \frac{1}{26\times 31} + \frac{1}{31\times 36} \right)$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 57c4f3985bb74c62b7740a2f0c3435eb | 1 | short_answer | What is the smallest~\uline{\textbf{odd}}~$$5-$$ digit number that you can make with the digits $$4$$, $$7$$, $$5$$, $$8$$, $$3$$ using each digit only once? \uline{~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers"
] |
2023-07-07T00:00:00 | 4c3f6d76550f4f3089cbf74b0f3d3fa9 | 1 | short_answer | $$24$$ men can complete a job in $$16$$ days. $$16$$ women can complete the same job in $$24$$ days. In how many days will $$10$$ men and $$6$$ women complete the job? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | b4d1c1eb568e4c288faeed345d1531ee | 1 | short_answer | How many numbers are there between $$0 \sim 40$$ that consist digit \textquotesingle$$2$$\textquotesingle? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | bfde09b81d63442bb7d2bdc77be0b501 | 2 | short_answer | How many regions at the most can $4$ identical rectangles divide the plane into? | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 5da353b85f0d48589f3c7704501b8d05 | 1 | short_answer | Bill has $$20$$ coins, and Jim has $$4$$ times as many as Bill. How many coins does Jim have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Basic Computation of the Multiples"
] |
2023-07-07T00:00:00 | 5c7b9ce1905d45469426790e5ddb9e0a | 1 | short_answer | Marion earns twice the amount Julie earns. Ethan earns $5$ times the amount Julie earns. If the difference in pay between Marion and Ethan is $$$168$$, how much do the three of them earn altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 17f689a51b1e456cbd853cbb42f52f25 | 1 | short_answer | Eddie, his dad, his mom, his grandpa, and his grandma are lining up to take a family photo. Eddie does not want to be in the middle. How many ways can they line up for the photo? | [
"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 | 3581c52ad5c34fea8de834f138a507fc | 0 | short_answer | \textbf{$$n$$~}is the missing number in the sequence. $$96$$,~\textbf{$$n$$}, $$24$$, $$12$$, $$6$$ \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Geometric Sequences->Whole-number Geometric Sequences"
] |
2023-07-07T00:00:00 | 6567f6570a0b4d6caced46d83395da96 | 1 | short_answer | Hamid went shopping with a sum of money. After spending $$\frac{1}{3}$$ of his money on a watch and $$ $56$$ on a tie, he was left with $$\frac{3}{8}$$ of the sum of money he had at first. How much did Hamid spend altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 9ea5b71855a94cfe9466fe43ab256389 | 2 | short_answer | Use each of the digits $$1$$ to $$9$$ to form a $$9$$-digit number which is divisible by $$11$$. What is the minimum value of this number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 934469ea45974c6ba8322d85bcd538d4 | 1 | short_answer | Eddie runs along a railway at a speed of $$3 \text m/\text s$$. A train is coming towards him at $$57 \text m/\text s$$. It takes ten seconds for the train to completely pass Eddie. What is the length of the train? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 805758debabb4563927203c5d2eba2d2 | 1 | short_answer | There is such a positive integer: if it is divided by $$5$$, the remainder is $$1$$; if it is divided by $$7$$, the remainder is $$2$$; if it is divided by $$9$$, the remainder is $$3$$. Find the least possible value of such a number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem"
] |
2023-07-07T00:00:00 | 7d867d91c93842129d709466df2f1adc | 1 | short_answer | In the expression below: $$1\textasciitilde\square\textasciitilde2\textasciitilde\square \textasciitilde3 \textasciitilde\square \textasciitilde4$$ each $$\square$$ is to be replaced by either $$+$$ or $$\times$$. What is the largest value of all the expressions that can be obtained in this way? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Obtaining Maximum/Minimum Values "
] |
2023-07-07T00:00:00 | e97cf0638a05496c87c776dfee4ba7b6 | 2 | short_answer | Jamie participated in a competition and had to answer $$12$$ questions. For every correct answers, she was awarded $$8$$. For every incorrect or unanswered questions, she will get $$3$$ marks deducted from her score. If she was awarded a total of $$63$$ marks, how many questions did she answer correctly? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 4543b18126fb4fdb9c0d73c1c80f65f8 | 1 | short_answer | A $700$-m long train is moving at a speed of $$400$$ m/min. How long does it take the train to entirely cross a $900$-m long bridge? | [
"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 | 001ad7f411fa4eb8b4910ab06fd33b1c | 1 | short_answer | There are $60$ numbers in an arithmetic sequence. The sum of the first $5$ numbers is $1$0 and the sum of the last $5$ numbers is $120$. What is the sum of all the $60$ numbers? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | d57fcf981d694db99854d4d2d0775618 | 3 | short_answer | In a number sequence, the first integer is $$3$$, the second is $$10$$, and starting from the third integer, each integer is the sum of the two integers directly in front of it. What is the remainder when the $$1997^{\text{th}}$$ integer is divided by $$3$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 3147e744aa374d87a759f9e0a3b9f01c | 3 | short_answer | \textbf{Uncahnged Total + Backward Approach + Percentage Double Base} 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 | 8b46eeb4c87f4598815e931b7d5d7fb1 | 1 | short_answer | Hazel will be three times her current age in $$12$$ years from now. On Hazel\textquotesingle s $$18^{th}$$ birthday, her mom will be three times her age then. How old is her mom now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | e6c04a41ffe547dfa735b74e506279e7 | 2 | short_answer | Peter and His sons Pip and Pit have the same birthday. Peter is $$45$$ years old, Pip is $$7$$ and Pit is $$14$$. How old will Peter be when his age is the sum of his sons\textquotesingle{} ages? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 2379196da153459db255aa3aea3155e9 | 0 | short_answer | $1.25\times47\times8$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Extracting Common Factors from Decimals"
] |
2023-07-07T00:00:00 | 14a74e5e758a457ebd877eab88a12538 | 1 | short_answer | Calculate: $$1^{3}+2^{3}+3^{3}+\cdots+10^{3}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²"
] |
2023-07-07T00:00:00 | ffa814576b094530af15324d4a55a06c | 0 | short_answer | Work out $$2616\div6$$. ~\uline{~~~~~~~~~~}~ | [
"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 | 31bc6cd2e2a24459b4a65c724b877090 | 2 | short_answer | A deck of $$52$$ cards have four different patterns: hearts, spades, diamonds and clubs. Each has $$13$$ numbers (From $$1$$ to $$13$$) How many cards must you draw so that you can ensure that $$2$$ cards with consecutive numbers can be drawn? | [
"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 | a85b2a0fbaee403bbf3d553375241db9 | 1 | short_answer | $$${\rm{296 }} \div {\rm{ 8}}$$$ | [
"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 | 9a89f94e62844db2ae26ce1b67de616f | 1 | short_answer | A newspaper with $$36$$ as the back page is unfolded by Vicky. She gets the fifth sheet out and calculate the sum of all the page numbers on that sheet, what is the sum? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | d1f0df83d1604882a3431fe789a7a764 | 1 | short_answer | James bought a batch of laptops and set the sellig price at ＄$$2000$$ each. In this case, he would earn a profit of＄$$60000$$. But later, the cost of each laptop decreased by $$\frac{1}{5}$$ of the original cost, and the total profit would increase by $$30 \%$$. How many laptops did James buy at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | fac549e40da243d680e79d593cff89f9 | 1 | short_answer | I\textquotesingle m thinking of a number. I halve it and get an answer of $10$. What is the number I am thinking of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Giving Half of a Whole"
] |
2023-07-07T00:00:00 | b6f89cabc4bd43e4a1af6187963a0b9f | 1 | short_answer | Calculate $(124 + 231) \div 5$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | d4152b88afa849ccbb7f225bbecbf032 | 1 | short_answer | A positive integer $M$ leaves a remainder when divided by $$7$$, $$9$$, $$a$$ and $$28$$ (where $a$ is an integer). The $$4$$ respective remainders form an increasing arithmetic pattern. What is the smallest possible number $M$ that satisy the above condition? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 9af4e0d14e574f1690bfcf5bfb24c584 | 1 | short_answer | The front row of a theatre has $$48$$ seats and each other row has four more seats than the row in front. There are $$80$$ seats in the last row. How many seats are there \textbf{altogether} in the theatre? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
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