dataset_version
timestamp[s] | queId
stringlengths 32
32
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stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 5f662e9aa4db4fbfbf1a266b8558e2a8 | 1 | short_answer | How many seconds are there in $8$ minutes? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | bf846dec93ce477ab47a02ca859245e6 | 1 | short_answer | You deposit some money into an account which earns $8 \%$ annual interest. If you can withdraw $924$ dollars form this account after 4 years, how much you need to deposit now? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | e199247a5e3f4630aa1a02b225d3db54 | 1 | short_answer | Subtract $2.64$ from $7.3$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 26b43a4d19504cc39391c90f265a8e59 | 1 | short_answer | Thirty apples are distributed to Ann and five other children, and each of them can get at least one apple. For Ann, what\textquotesingle s the largest possible number of apples she can get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Problems Involving Extreme Value"
] |
2023-07-07T00:00:00 | 36a3b0319aa94ac78912a13a30272f8d | 2 | short_answer | Janine thinks of three numbers. Between them, they use the digits $$1$$, $$3$$, $$5$$, $$6$$, $$7$$, $$8$$ and $$9$$, with each digit being used exactly once. The second number is $$2$$ times the first number. The third number is $$4$$ times the first number. What is the third number? (2020AMC 26) | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 8813aaf9e8434f92984ad99a90e18eb9 | 2 | short_answer | Given that $$M$$ and $$N$$ only have prime factors 3 and 5. Their highest common factor is 75. $M$ has 12 factors and $N$ has 10 factors. What is the sum of $M$ and $N$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | e8548c7b8d69402e81f35205050bd98d | 1 | short_answer | Cherry is choosing what to wear for a party. She can choose to pair a blouse with any pair of pants or she can wear a dress. She then needs to pick a pair of shoes if she\textquotesingle s wearing pants. However, if she chooses to wear a dress, she can pair it with either shoes or heels. Here\textquotesingle s what she has in her closet: \textbf{Clothes} 1) $3$ shirts 2) $2$ pair of pants 3) $3$ dresses 4) $4$ shoes 5) $2$ heels Determine the number of combinations of clothes she is able to wear. | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 182737e9117d46c389cc27f2a8aad6c0 | 1 | short_answer | Object A and Object B weigh $$13\rm kg$$ together. Object A and Object C weigh $$25\rm kg$$ together. Object C weighs $$3$$ times as much as Object B. What is the mass of Object A? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | cf31bb404b754d18bd83978a61ac8d0f | 1 | short_answer | $$4$$ books and $$8$$ teddy bears cost $$ $164$$. $$2$$ books and $$3$$ teddy bears cost $$ $67$$. What is the cost of $$1$$ book? | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | a38308f19b794b3b96e4cb5fede094c4 | 1 | short_answer | The total mass of a pack of soil and a pack of sand is $9$kg $5$g. The mass of the pack of soil is $4$kg $50$g. Find the difference between the mass of the pack of soil and the mass of the pack of sand. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 1bf59a6dc1ea4ff38f6849f658bfb007 | 2 | short_answer | The total number of buttons that James and Nina have is 22. Nina has more buttons than James. When Nina gave 4 of her buttons to James, then they have the same number of buttons. How many buttons does Nina have originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 1530f45644534ab9a97cbe5b7104abc7 | 1 | short_answer | Calculate the following expression: $$1+ \frac{1}{2}+ \frac{1}{3}+ \frac{2}{3}+ \frac{1}{4}+ \frac{2}{4}+ \frac{3}{4}+ \frac{1}{5}+ \frac{2}{5}+ \frac{3}{5}+ \frac{4}{5}+\cdots + \frac{1}{100}+ \frac{2}{100}+ \cdots + \frac{99}{100}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 6c6e0d85d93f4c04993e70d48958151d | 1 | short_answer | In TASMO test, it consist of $$10$$ questions. $$4$$ points were given for each correct answer and $$2$$ points were deducted for each incorrect answer. If Julie answered all $$10$$ questions and scored a total of $$29$$ Points, how many question she answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 0072c8403a1845a5b093725c5bb5aeaf | 1 | short_answer | The pattern $$123451234512345\ldots{} $$ is continued to form a $$52$$-digit number. What is the sum of all $$52$$ digits? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations->Period of Numbers"
] |
2023-07-07T00:00:00 | 6d8bf3a7fce3414a9c67c4a3fa1f7c48 | 1 | short_answer | In the handicraft class, students need $$0.36$$ square meters of handmade paper to make a kite. Now there are $$4.8$$ square meters of handmade paper. How many such kites can be made? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 217f4abc2ab44264affad60373305d47 | 1 | short_answer | The road leading from Betty\textquotesingle s house to the school is planted with $$79$$ trees at regular intervals. There are no trees in front of the school or her house. If the road is $$320\text{m}$$ long, what is the distance between each tree? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting no Trees on either Side (straight line type)"
] |
2023-07-07T00:00:00 | 2d9fc3817dca46ac92eaa73adac8ada7 | 1 | short_answer | $10000$ years ago, Owen the fisher traded $10$ fish for $4$ rabbits from Oscar the hunter. Then, Oscar traded $5$ rabbits for $6$ packs of wheat from Dennis the farmer. How many fish should Owen give Dennis for $12$ packs of wheat? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios"
] |
2023-07-07T00:00:00 | b65a5554264043bb99d0c4476d46daa7 | 0 | short_answer | （UK Merchant Taylor\textquotesingle s School 11+ Official practice Paper 2 Question \#$32$） A metal rod is~$10\dfrac{4}{5}$ metres long. How many short rods $\dfrac{3}{10}$~metres long can be cut from the longer rod? Show full working | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 604b32ec4594413a9da6ea7f419a86e6 | 1 | short_answer | Dr Barge wants to buy a set of $$20$$ laptops for his Year $$7$$ class. A single laptop costs £$$149.99$$, but he is offered a deal to buy $$30$$ for £$$2,800$$. How much does he save by taking the deal? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 6d6c627dff57484693f832331a8fed28 | 2 | short_answer | An evening party has $6$ singing and $4$ dancing performances. Tom is deciding the order of these performances. If he wants to put at least $1$ singing performance between every $2$ dancing performances, how many different ways are there for him to arrange these performances? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 6422450ba3314b00956e086caa019113 | 1 | short_answer | Emma bought a dress in the January sales, reduced by $35 \%$ from £$125$. How much did Emma pay for the dress? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Discount Problems"
] |
2023-07-07T00:00:00 | 6d6721335237466b8bf898c20f70285f | 1 | short_answer | The staff in the aquarium is distributing a fixed amount of fish among a group of penguins. If the staff gives $$3$$ fish to each of the penguin, there will be $$5$$ fish left. If the staff gives $$4$$ fish to each of the penguin, $15$ more fish are still needed. How many penguins are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 558a4fe5c5fe460f838fa7deae63c54b | 1 | short_answer | Alice earns $$$5.12$$ per hour. She works $$8$$ hours, how much does she earn? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Simple Multiplication Applications",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 01b4b64e032345db96ca5a028d2343db | 2 | short_answer | Jenny had to add $$26$$ to a certain number. Instead, she subtracted $$26$$ and obtained $$-14$$. What number should she have obtained? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | c408c811fcb041b3aa27099ad68703f4 | 0 | short_answer | $$28-3(24-5x)=1$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 0dd1e1e4796044aeb251dbf0652d6b52 | 0 | short_answer | $$$$Calculate.$$$$ $$322-(95-87)\times16$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 25b73873a475424bb2c3460ea7370ffc | 1 | short_answer | Matthew\textquotesingle s height is $$120 \text{cm}$$. The ratio of Matthew\textquotesingle s height to Kelly\textquotesingle s height is $$4:5$$. Find Kelly\textquotesingle s height. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units"
] |
2023-07-07T00:00:00 | 6dead3e618154fcda9ed1a944c4d862e | 1 | short_answer | Find $35 \%$ of~$ $80$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | ada569f0735e44a5b658b942af33e959 | 1 | short_answer | In a game of football the final score was $$3-2$$. How many possible half time scores were there? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition->Points System"
] |
2023-07-07T00:00:00 | 056eb54e02ef4e86834ab49cf3cc01b4 | 1 | short_answer | Work out $689 \div 13$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 61bb0063c0734b36a1996af254e6fb90 | 1 | short_answer | Pip had some Pokemon cards. He lost $$\frac{3}{8}$$ of them in school. If he had $$56$$ cards originally, how many cards did he lose?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 02bd6a91ac214217ad925716b17c6508 | 1 | short_answer | If $$\overline{ab}+ \overline{ba}+b= \overline{aab}$$, find $$a+b$$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 2789484c36cf4e54b28be43d05009e13 | 1 | short_answer | Clara and Emma baked 1002 cookies altogether. Clara baked five times as many cookies as Emma did. How many cookies did Emma backed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | d3a2000bbe0d4458a84669bc22de18a2 | 2 | short_answer | In how many ways can Mrs Culkin choose $2$ class monitors among $$6$$ students? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition"
] |
2023-07-07T00:00:00 | 31f14949d8114ab8a17cdccc2df7d350 | 2 | short_answer | There are some pupils in a class. $$\frac{3}{8}$$ of the girls and $$\frac{3}{5}$$ of the boys of the class can swim. $$20$$ pupils of the class cannot swim. There is an equal number of boys and girls who cannot swim. How many pupils are there in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | cd20ea5fd0f64dad8fea2ee8adb41891 | 1 | short_answer | Mike says, "The desks and chairs in our class can line up perfectly in a large rectangular array. No matter when you count from front to back, back to front, left to right, or right to left, my position is always the $$2$$\textsuperscript{nd} in line." Do you know how many students are in Mike\textquotesingle{} s class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number of People in a Rectangular Array"
] |
2023-07-07T00:00:00 | 879e5feaeecc4a8ea542b447bc7e8fce | 1 | short_answer | A basket of mangoes weighs $$80$$ grams when full and $$60$$ grams when half full. What is the weight of the basket when it is empty? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | b6d07c1739e540859bca83cddbe021fd | 1 | short_answer | Calculate $85 \%$ of £$400$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | c322675f6c904cb28fcb4d8fcdeea6df | 1 | short_answer | Find the value of $x$：$$8.5-4(x-1.5)+3.2(x-2)=2.5x+3(2.5-x)$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | e59a69364151431da70cfdb7b285eac6 | 1 | short_answer | Calculate: $32\times125\times23$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 42e36157dca7436e992427566b464adc | 1 | short_answer | Pip and Bud shared a box of sweets. Pip ate $\dfrac{3}{5}$~of them. If $$16$$ sweets were left for Bud, how many sweets were there in the box at the start? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | d40f5cb1f6a24d038e89fe06cd993eb4 | 1 | short_answer | What number goes in the box? $6\times5=$~$\boxed{ \overset{ }{\overset{ }{ }}}$~$ \%$ of $40$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 813f3075f35d4821a1a7fc16e2f6d52b | 1 | short_answer | Calculate $5 \times 57 \times 4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 103d552fb6da4c0783be7a342f20b8bc | 1 | short_answer | Mandy is shopping with her friends in a gift shop. They spend $$30$$ dollars on $$3$$ cups. Each cup costs the same. How much will they cost if Mandy wants to buy $$5$$ of the same cups? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | 43a325f2110643bc915bdc94e8f7b758 | 1 | short_answer | There are 5 big mushroom houses and 9 small mushroom houses on the lawn.~ And there are 38 rabbits. A big mushroom house can accommodate 4 rabbits. How many rabbits can each small mushroom house accommodate? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 308e0096e80b4f19bf3d9b5c553a195d | 1 | short_answer | James earns an average of £$$60$$ a day. Find the total amount he earns in a week if he works from Monday to Sunday. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | 65f6b4e0577647579449a1aa4cc3fa40 | 0 | short_answer | Calculate: $${{8}^{2}}-{{7}^{2}}+{{6}^{2}}-{{5}^{2}}+{{4}^{2}}-{{3}^{2}}+{{2}^{2}}-{{1}^{2}}$$. $=(8+7)\times(8-7)+(6+5)\times(6-5)\dots$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula"
] |
2023-07-07T00:00:00 | 8aa18ff22f444b93b44cb12fdcc6688e | 2 | short_answer | On a staircase, if Daniel can climb $$1$$, $$2$$, or $$3$$ steps at a time, then how many different ways can he reach the sixth step? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Inductive Recursion"
] |
2023-07-07T00:00:00 | b1efeaefd31345e39a5a87a2bb5673a9 | 1 | short_answer | There are $234$ children in a school. One day $75$ children are absent. How many are at school that day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 9d723089837f477db7a98fc0d0033d94 | 1 | short_answer | $5 -- 1.02$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 4b507d02ac2f4e03895bd099fa8097c8 | 1 | short_answer | Wendy eats an average of $15$ pizzas a month. Find the total amount of pizza she eats from March to July. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 340fa54260fb43788db3cac05726737c | 1 | short_answer | Complete the following: $21+22+23=2\times3\times\boxed{ \overset{ }{\overset{ }{ }}}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 5206643ac0d74672bd7f51f36c05b327 | 2 | short_answer | Calculate: $$21+27+19-17=$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 6a0715adbecf4e6d977379c6d8e8b693 | 1 | short_answer | Abigail is three times as old as Ryan. In $$6$$ years time Abigail will be $$42$$. How old will Ryan be in $$2$$ years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | a63c3f97f6f747fb8f6167272df4d9e0 | 2 | short_answer | Calculate: $$20.2\times 3.83+2.02\times 143.7+18.2\times 79.8=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | db1980b14fff4be98f10937c9ad2d0bb | 1 | short_answer | A ship travels at a speed of $$33$$ km/h in still water. The speed of the current is $$3$$ km/h. How long will it take the ship to travel $$150$$ km upstream in the Grand Canal? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Travel Word Problems of Boats",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 61e1de37a14f48a6991bab9a2d3a4694 | 1 | short_answer | A positive whole number less than $$100$$ has a remainder of $$2$$ when divided by $$3$$, a remainder of $$3$$ when divided by $$4$$ and remainder of $$4$$ when divided by $$5$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 6e6e70f8c762461081d8768c9cd5d599 | 0 | short_answer | A drink and a box of popcorn together cost $90$p. Two drinks and a box of popcorn together cost £$1.45$. How much does a box of popcorn cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | 2ef08403147440cebc886fef6d923504 | 1 | short_answer | How many multiples of $$4$$ are there from $$56$$ to $$92$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 7b0029bc1a5e4ae98eb2f317f91d9e07 | 1 | short_answer | What number is half way between $$3.5$$ and $$6.9$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Knowing Decimals"
] |
2023-07-07T00:00:00 | 938865d708b54013bdffe7745f3c071e | 1 | short_answer | Find the value of $$2+4+6+8+\ldots+44+46+48+50$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | ff21b342853b4526901990586afdd9a1 | 1 | short_answer | Calculate：$$60+59-58-57+56+55+54-53-52+51+50+49-48-47+\cdots+5+4-3-2+1$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 9566235419c644bda8f4a29fbdf4e32d | 2 | short_answer | Calculate: $80\times125\times63$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 243b6cce4d9f45acafd03f1040ae77c4 | 1 | short_answer | Given that $$9^{5}$$ means $$9\times 9\times 9\times 9\times 9$$. What is the value of the ones digit in $$999^{99}$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | d40d9028269a40b1a074fb83c6e6f359 | 1 | short_answer | In $$6$$ years, Claire will be three times her current age. What will be Claire\textquotesingle s age two years from now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 2dc1cabb496241cf9e53891c8379b8e2 | 1 | short_answer | $526 \times 4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 494ec1b29a6b4fa3a72a5c3c403e4f01 | 1 | short_answer | Beth caught the train from London to Leeds. It arrived in Leeds $$5$$ minutes late. This wasn\textquotesingle t too bad as it had left London $$15$$ minutes late. The journey took $$\frac{11}{12}$$ of the time it should have done. How long should the Journey have taken? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | e488c808a03c473b9671ebeb77e0b942 | 1 | short_answer | Calculate: $$\frac{4}{15}-\frac{7}{10}+\frac{11}{15}-\frac{3}{10}$$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 4674fd3d4c514026b6edb3199c9264fa | 1 | short_answer | The year $$2022$$ is an interesting year because it contains only digits $$2$$ and $$0$$. How many years later will be the next interesting year? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | 51057b69aa2149679627b1da24beca2b | 1 | short_answer | $$5.42\times25=5.42\times \square+5.42\times5$$ What is the missing number in the box? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Distributive Property of Decimals"
] |
2023-07-07T00:00:00 | b2d9b3a92e1e4767a2f8078a10ceb071 | 1 | short_answer | Susan\textquotesingle s bus fare is exactly $$44\text{p}$$, If the driver can give her change, what is the smallest number of coins that change hands when Susan pays to get on the bus? (Explain clearly) Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | 977dd4a7f9a847319b7cce1778764124 | 1 | short_answer | A bag of sweets contains $420$ sweets. If these are to be shared equally between $17$ people how many sweets would each person get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"
] |
2023-07-07T00:00:00 | b5d10eac540a45de8714ae1313e250a8 | 1 | short_answer | There are $$4$$ red, $$7$$ green, $$6$$ blue and $$2$$ orange marbles in a bag. Jane is blindfolded. How many marbles must she draw from the bag so that there are $$4$$ different coloured marbles? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | e77d21bed25146b6a602d491b8b1dd35 | 1 | short_answer | 4 chickens have 8 legs, and Tom\textquotesingle{} s farm has 9 chickens. How many legs do these chickens have in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | fa054be2367d41a5a66f84ddf604783c | 0 | short_answer | A number plus $$12$$ equals $$18$$. What is this number? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fcc1c6b6be6b4c52b0c513c00e208621 | 1 | short_answer | A snail wants to climb out of a $$9-$$metre burrow. It climbs up $$3$$ metres during the day and slides down $$1$$ metre at night. Exactly on which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 4dbef50f0cc443289ac166137fd5b410 | 3 | short_answer | How many different ways are there to divide $19$ books to $4$ kids, to make sure each of them gets at least one book? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 2718b4f1a9754ccaa68760b5effe4800 | 1 | short_answer | What is $7052 + 832 -- 523$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction"
] |
2023-07-07T00:00:00 | 32f6acf1aa344c2bbe62ce981053863f | 2 | short_answer | A car dealer listed some motorbikes, tricycles and vans up for sale. There are $35$ more motorbike and van wheels than tricycle wheels. There are $13$ more tricycle and van wheels than motorbike wheels. If there are a total of $101$ wheels at the dealership, how many more motorbikes than vans are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | 930f7e9ace4f4e9abfa6c69bf0acf8ba | 1 | short_answer | In the sequence of numbers $$2$$, $$3$$, $$5$$, $$8$$, $$12$$$$\cdots \cdots $$ what is the first \uline{\textbf{three digit}} number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Two Grade Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 48433bd7096b4db2b8a0bc0666b48b61 | 2 | short_answer | How many ways are there to distribute $$6$$ identical pens into $$3$$ different colour pencil case (the pencil case cannot be empty)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 71cf4cae85d941ca996a445c85a2b4af | 1 | short_answer | $(72-4)$~ $\times$~ $6$ $\div 3$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 27cc7102419c4252a0693643e0aafd5e | 1 | short_answer | Tank A contains $5$ times as much water as Tank B. Tank B contains $5$ more litres of water than Tank C. The total amount of water in Tank C and Tank D is equal to the total amount of water in Tank A. Given that Tank D contains $41$ ℓ of water, how much water is there in Tank B? Give your answer in litres. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity",
"Overseas Competition->Knowledge Point->Geometry Modules->3-D Shapes->Cylinders and Cones->Volume of a Cylinder"
] |
2023-07-07T00:00:00 | d23bc459c7eb40fca3869160d4d63e83 | 1 | short_answer | Calculate: $${{40}^{2}}-{{38}^{2}}+{{36}^{2}}-{{34}^{2}}+\cdots +{{4}^{2}}-{{2}^{2}}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula->Applying Difference of Two Squares Formula Directly"
] |
2023-07-07T00:00:00 | 0e7fb5a8438d409db8fc8721b6c9b013 | 1 | short_answer | Linda has a Boba milktea shop. She uses $$1$$ gallon of milk to make $$6$$ cup of milktea. How many gallon of milk will she need if she needs to make a $$30$$ cups order? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 0ad7378f865243469246236c3c58c016 | 1 | short_answer | Pip is standing directly in front of Bud in a line. There are 9 people in front of Pip and 10 people behind Bud. How many people are there altogether in the line? | [
"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 | 104d6bb537274c5aad38cc4c6f3475dc | 1 | short_answer | $68+75=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | d558457c695c422cb8038f4d788d1b1d | 2 | short_answer | Dates can be writen as an $$8$$-digit number in the form $$y$$ $$y$$ $$y$$ $$y$$ $$m$$ $$m$$ $$d$$ $$d$$. For example, $$20140125$$ stands for January $$25^{}\text{th}$$ $$2014$$. How many days are there in the year $$2014$$ such that its $$8$$-digit representation contains equal numbers of digit $$0$$, $$1$$ and $$2$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | 96ce69b25ffc4f6ba38c21545d6733a1 | 2 | short_answer | It is known that the average of the following $$8$$ whole numbers, $$4$$, $$5$$, $$6$$, $$9$$, $$3$$, $$9$$, $$p$$, $$q$$ is $$6$$, and that the difference between the highest value and the lowest value is also $$6$$. Given that $$p\textless q$$, find the lowest possible value of $$q$$. | [
"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 | d57aa24f90f445c5abf13b469d1984b6 | 1 | short_answer | In the number sequence, $4, 7, 10, \cdots, 295, 298$, which term is the number $298$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | b36c4f44ee6d4d5f8f83c706b3da11e7 | 1 | short_answer | There are 36 students in a class, and they all like at least one of the two sports, football and basketball. The number of students who like football is three times the number of students who like both sports, and the number of students who like basketball is four times the number of students who like both sports. How many students like both sports? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | df09ff6de9a24b87ad2cf9a7a605db3d | 1 | short_answer | When a five-digit number is divided by $$7$$, $$11$$ and $$13$$, the remainders are $$3$$, $$7$$ and $$9$$ respectively, find the smallest possible value of the number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 36c0726e53b4423887ba038a9a8b7de4 | 1 | short_answer | Adam and Jacob are driving in opposite directions from the park at $60\textasciitilde km/h$ and $80\textasciitilde km/h$ respectively. Both of them started at the same time. After $3$ hours, Jacob reached home. Adam still had another $30$ minutes before reaching home. How far apart are their home? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 750fd66718534733b8ee051343e835e2 | 1 | short_answer | What is the $$21^{}\text{th}$$ term of the arithmetic sequence: $$2$$, $$7$$, $$12$$, $$17$$, $$22$$, $$\cdots$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | eabcf3964b4a496a8ef64c1ebb4291fb | 2 | short_answer | For any positive integers $$a$$, $$b$$, we define $$a*b=\left(\frac{a\times b+16}{a+b}\right)^{2}$$. Find the largest integer not exceeding $$\left(\left(\left(1*2\right)*3\right)*4\right)*5$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly"
] |
2023-07-07T00:00:00 | 2b16d73352954ba2b572f2ae9c2c1fd1 | 1 | short_answer | $252=36\times7$ Using the answer from Knowledge Preparation $2$ and the equation above, determine the number of factors of $252$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 779097010de347adac3173e788b818b1 | 1 | short_answer | A baker puts cakes in the display case in her bakery every day. One day, She wants to put $$50$$ cakes on $$9$$ layers in case. At least how many cakes are there in the layer with the most cakes? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | cf8db366b2f64605b21b99daa35db369 | 1 | short_answer | Kevin bought a burger set for lunch and paid ＄$$0.91$$ for $$7 \%$$ GST. What was the cost of the burger set before GST? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | f2cc6bf5eb964e03b4744beef89de39f | 1 | short_answer | There are $$2$$ blue marbles and $$2$$ yellow marbles in a bag. To guarantee that Lucy can get $$2$$ marbles of the same colour, she should take at least~\uline{~~~~~~~~~~}~marbles. | [
"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 | c587b2c5f5344744bff9a00aad6cea06 | 1 | short_answer | Add together $2.49 \text{kg}$, $670 \text{g}$~and $3\text{kg} 80\text{g}$. Give your answer in grams. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
Subsets and Splits