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timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringlengths 6
2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | a6f199354188491987e033f7760fc3d5 | 2 | short_answer | Wheat is planted evenly along the side of a rectangular field, measured in $$144$$ m by $$204$$ m. If there are $$116$$ wheat in total and every corner of the field is planted with a wheat, the distance between every $$2$$ wheat is m. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 3722f385e5304408b4bd51d4538ed104 | 2 | short_answer | Find the smallest multiple of $$35$$ that ends with \textquotesingle$$35$$\textquotesingle{} and the sum of all its digits is $$35$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | ee9f3d0764634811a0757f003abad19d | 1 | short_answer | The heights of four students are $102 \text{cm}$, $98 \text{cm}$, $120 \text{cm}$, and $80 \text{cm}$ respectively. What is their average height? | [
"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 | 2c1659a425074c80b8d88dda965c59d5 | 1 | short_answer | Mommy Squirrel goes out every day to harvest some pine nuts. On a sunny day, she can harvest $20$ pine nuts; on a rainy day, she can only harvest $12$ pine nuts. Given that during eight days Mommy Squirrel harvested a total of $112$ pine nuts, how many rainy days were there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | c53620b9ca634a889e36b3bf16163ca2 | 2 | short_answer | Ben wants to buy $$17$$ small botles of drink for a party. A shop sells them at: $$15$$p for $$1$$ botle; $$28$$p for two botles; $$60$$p for a pack of $$5$$ botles. What is the smallest amount of money he needs to spend? [Give your answer in £s] Answer:£~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Multiple Variables"
] |
2023-07-07T00:00:00 | a0d71a6e29644023a0cc17a608bc01dc | 1 | short_answer | Four people are playing a knockout tournament for Scissors Paper Stone. At least how many rounds must be played so that the winner can be determined? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | f994d8dfd7f44217b9637c5e8ba447d8 | 1 | short_answer | Teacher Lee prepares $2$ questions for P2 kids. Only $10$ kids answer the first question correctly, and only $15$ kids answer the second question correctly. There are $7$ kids who answer both questions correctly. How many of them can only answer one question correctly?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | daccc8a42fc0479db52cec10235601e6 | 1 | short_answer | Tiffany took her day off from~ 4\textsuperscript{th}~April to 18\textsuperscript{th}~May. How many days is her day off? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates"
] |
2023-07-07T00:00:00 | 3059ea77d08247578ee3a70a3f475405 | 1 | short_answer | Rachel and Alice have some pieces of candy. If Rachel gives Alice $10$ pieces of candy, then they would have the same number of pieces. However, if they both eat $8$ pieces of candy, Rachel has $3$ times as many pieces of candy left over as Alice. How many pieces of candy did they have in total originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 4f3b48792a094028b1bc267e22a30835 | 1 | short_answer | A train with a speed of $$42\text{m/s}$$ takes $$5$$ seconds to pass a tree on one side of the road. Find the length of this train. | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 47562186606a4d038d9527452b08ffc2 | 1 | short_answer | Write down the next number in the following Fibonacci sequence. $1, 1, 2, 3, 5, 8, 13, 21,$~\uline{~~~~~~~~~~}~$\cdots $ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)"
] |
2023-07-07T00:00:00 | bfacb76c25624bfc8d5d2c06215023ad | 0 | short_answer | Insert one or two pair of brankets in the equations below. How many different results can you work out? $$285+15\div5-2$$． $$285+15\div5-2$$． $$285+15\div5-2$$． $$285+15\div5-2$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 5907fd55c3fc43edb065e669513c11e0 | 1 | short_answer | Judy\textquotesingle s dad gathered $40$ mushrooms in total in two hours. If he could gather $$26$$ more mushrooms in the first hour, the amount of mushrooms that he gathered in each hour would be equal. How many mushrooms did Judy\textquotesingle s dad gather in the second hour? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 5e3f58e8aa7b463281a06313c58c9dfc | 1 | short_answer | A towel costs~£$10$ and a brush costs~£$3$. Bud spends exactly £$59$ on some towels and brushes. How many brushes does she buy if she spent less than £$10$ on the brushes? ~\uline{~~~~~~~~~~}~brushes | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations->Indeterminate Addition Equations"
] |
2023-07-07T00:00:00 | f60e137f7250477d8b286d3f212c854b | 1 | short_answer | Serena spent $$5$$ days making teddy bears for her classmates. Each day, she made $$2$$ more teddy bears than the day before. At the end of the $$5$$ days, she made a total of $$35$$ teddy bears. How many teddy bears did she make on the fifth day? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 1f65bc2d548c462284458547726c98be | 1 | short_answer | Verity thinks of a number. She multiplies it by $7$ then adds $8$. If the resulting number is $71$ what number did she think of in the first place? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 2a082a4e041f4b3e973245a4c33b3b27 | 1 | short_answer | Write $$0.49 $$ as a fraction. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Basic Permutation"
] |
2023-07-07T00:00:00 | 2032d412937a4167a615ecb8aa60b3ea | 2 | short_answer | Rick and Morty are having a conversation after an exam. Rick tells Morty~"If I gave you $$70$$ of my test score, my test score would still be $$20$$ higher than yours. Also, my currect test score is $$9$$ times higher than you." What is the Rick\textquotesingle s test score? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | c762956fba3241bd967d57b33577e2de | 2 | short_answer | How many different three-digit numbers can be formed using the numbers $$0$$ , $$1$$ , $$8$$?（without using the same number two times like $$11$$） | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | a329051d839b463a826c9d78e15a0b08 | 1 | short_answer | There are $$9$$ pink, $$7$$ grey and $$11$$ blue marbles in a box. How many marbles shoud you draw to ensure that a blue marble can be drawn without looking inside the box? | [
"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 | 66a11fd054514f65b3baf9ede59874a5 | 1 | short_answer | $262+8=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 49922fe7ff9a40c38d907ed0e51522ca | 1 | short_answer | If a girl cycles 23 miles each day, how many miles would she cycle in two weeks? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | f9992ec9b0a34d969a70763f33c68a29 | 1 | short_answer | The sales tax in the town where Sunny lives is $$7.5 \%$$. Sunny paid $$ $30$$ in sales tax on a new computer. What was the price of the computer? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 39ac38c32dc74df58ea6b0d18c06ad13 | 3 | short_answer | In any permutation of $$1$$, $$2$$, $$3$$,~ $$\cdots$$ , $$7$$, $$8$$, how many permutations are there such that any two adjacent numbers are coprime? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | aa18065f01ed471dbddb2b83716b2ed7 | 1 | short_answer | What percentage of~$\dfrac{6}{7}$~is~$\dfrac{3}{10}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 1db0cce1e16144579673d8e8a9fc0654 | 3 | short_answer | At a graduation ceremony, there were $$30$$ less boys than girls. After~$\tfrac{3}{5}$~of the boys and~$\tfrac{5}{8}$~of the girls left the hall for recess, there was an equal number of boys and girls who remained behind. Find the number of boys who were present at the graduation ceremony at first. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 304401f32f204704929d05f5f2f6f8b4 | 1 | short_answer | In magic school, Wizard James, who feeds many animals, can turn his frogs into dragonflies and dragonflies into frogs. At first, he counts that the amount of frogs is $$9$$ more than that of dragonflies. After he finishes the magic show, there are $$11$$ frogs and $$10$$ dragonflies in total. How many frogs did he have at the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 7c10a4083da5483c963882fa31bda8ad | 2 | short_answer | Calculate: $$300-9-19-29-39-49-59$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Operation Strategy in Addition and Subtraction of Rounding Whole Numbers"
] |
2023-07-07T00:00:00 | 3e007fd230a249ff8d05a19fcfe583ba | 0 | short_answer | Insert one or two pairs of brankets in the equations below. How many different results can you work out? $$285+15\div5-2$$ $$285+15\div5-2$$ $$285+15\div5-2$$ $$285+15\div5-2$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d17c4969cf134fab95adbf60e4d9650c | 1 | short_answer | Amy has $$26$$ apples and John has $$8$$ apples. How many apples (s) does Amy have to give John to make them have the same number of apples? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | e7ddf473a2ae4816b3668ad9956ebcfa | 1 | short_answer | $\dfrac{\left( 24-_{ }\right)}{4}=4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | c475b1643de744428b44276a9212a842 | 1 | short_answer | It takes $$3$$ hours for worker A and worker B to finish a job together, $$4$$ hours for worker B and worker C to finish a job together, $$8$$ hours for worker A and worker C to finish a job together. How long does it take all three of them to complete the job together?~\uline{~~~~~~~~~~}~hours | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems"
] |
2023-07-07T00:00:00 | d188d39b891542928d1912e7274a2caa | 1 | short_answer | $$100-99+98-97+96-\cdots +4-3+2-1$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | eb34430f7cb249a8a572783eee511d5a | 1 | short_answer | Jack has $$42$$ Pokemon cards and Tom has $$38$$. Their friend, James has three times as many cards as Jack and Tom have altogether. How many cards does James have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Basic Computation of the Multiples->Multiples of Multiple Variables"
] |
2023-07-07T00:00:00 | d7ded10e6b6742babab86ac9a55feb15 | 1 | short_answer | $$11.38 \div 100$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 142a0e7cf7264398809cd19740d822d4 | 1 | short_answer | Calculate $9678 \times ~8$ | [
"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 | 5474f73e5ab6431890df2e54e821b742 | 1 | short_answer | $$2$$ kilograms of a $$45 \%$$ sugar water is mixed with some $$15 \%$$ sugar water, it gives a mixture with a sugar concentration of $$25 \%$$. How much $$15 \%$$ sugar water is needed?~\uline{~~~~~~~~~~}~$$\text{kg}$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems"
] |
2023-07-07T00:00:00 | 063df5600f0440a196ad7fccf9a7bf8f | 2 | short_answer | Johnson and VIcky have $$48$$ coins between them. If Johnson gives vicky $$8$$ coins, Vicky will still have $$2$$ fewer coins than Johnson. How many coins does Johnson have to start with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Problems Involving Sum and Difference with Two Variables->Direct Sum and Indirect Difference"
] |
2023-07-07T00:00:00 | 300d9dec8c7842cfa4010c28ded862c2 | 2 | short_answer | A group of kids share a pack of candies. If every kid eats $$18$$ candies, then $$12$$ more candies are needed. If every kid eats $$15$$ candies, the candies are just enough to be distributed to $$2$$ more kids. How many candies are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems"
] |
2023-07-07T00:00:00 | 7b23b760c2484da8af4bc6eead1035fc | 0 | short_answer | In a country dance there are $3$ boys and $2$ girls in every line. $42$ boys take part in the dance. How many girls take part? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio->Knowing Ratio"
] |
2023-07-07T00:00:00 | 0774e88f23d347fc960a7df67aa5cea5 | 2 | short_answer | If $$S=2+22+222+2222+\cdots +\underbrace{222\cdots 222}_{2017'\,'2'\,'\text{s}}$$, what is the sum of the last $$5$$ digits of $$S$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | 0cfb180ff80343978b552cedc1149839 | 1 | short_answer | Sara thought of a number. She added $$6$$ and then multiplied by $$7$$. Her answer was $$77$$. What was the number she thought of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 7e9903ea9c5d4ad4b4d9e47668802818 | 1 | short_answer | David has thrice as many cupcakes as Eugene. David has $$14$$ more cupcakes than Eugene. How many cupcakes did the boys have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | f1a2fc61d2954912aabcdce67bec8fd1 | 3 | short_answer | $$Sam$$ and $$Tim$$ had $$1170$$ cookies. After $$Sam$$ ate~$\tfrac{1}{4}$~of her cookie and $$Tim$$ bought~$\tfrac{1}{5}$~more cookies, $$Sam$$ had $$663$$ fewer cookies than $$Tim$$. How many cookies did $$Sam$$ eat? | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity"
] |
2023-07-07T00:00:00 | 699981dcd6d84d42b6e018723ba6a619 | 1 | short_answer | Calculate: $$297+196+388+199=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 3d69ea36244c47f49f012029d94f587c | 1 | short_answer | Mike bought $$0.6$$ kilograms of beef from Costco for a total of $$11.4$$ dollars. How much did each kilogram of beef cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | b4f91c464064460aa19ddf1c6a62ab91 | 1 | short_answer | In an orchard, every six days $$24$$ kilograms of fruit will be picked. Given that the amount of fruit picked every day is the same, how many kilograms can be picked over a period of $$8$$ days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | a02bf655141845c2bd2c46d349316684 | 2 | short_answer | （UK Emanuel School Entrance Examination Year $7$ Entry Question \#$28$） When a number between $200$ and $300$ is divided by~$2$,$3$,$4$~or~$6$~there is always a remainder of~$1$. But when the number is divided by~$7$~there is no remainder. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder"
] |
2023-07-07T00:00:00 | 5bd506abd39a478abeb0aa9d9fdb559b | 2 | short_answer | Sally had $$40$$ stamps and Ting had $$32$$ stamps. After Sally gave of her stamps to Ting, the number of stamps Sally and Ting had were in the ratio $$1:2$$. How many stamps did Ting have in the end? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | c9845a2160b54fd095573f962d57e562 | 1 | short_answer | Tom and Jerry have to seal and mail some envelopes for a new marketing campaign. Jerry can complete the job in $18$ hours. If Tom helps, they can get the job done in $$6$$ hours. How long would it take Tom to do the job by himself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 7082213a798d483d975ec38c9264a87a | 2 | short_answer | David walks in the park at a speed of $$150$$ metres per minute. Ten minutes later, he increases his speed by $$50$$ metres per minute and walks for a while before returning home. David walks a total of $$3700$$ metres in the park. How long has David spent walking in the park? | [
"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 | e308e1fd22e34cdb9709c55c86942efe | 0 | short_answer | Sissy wants to eat $$9$$ pieces of candy and Lily wants to eat $$7$$ pieces of candy. How many pieces of candy in total do they want to eat? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 3626f191924141a1b2eafb54a9e067f3 | 2 | short_answer | In a stall, sweets are only sold in packets of $$8$$. Each packet is sold at $$$4$$. One sweet is given free for every two packets bought. What is the maximurn number of sweets that can be obtained with $$$20$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Applying Addition and Subtraction (with hidden conditions)"
] |
2023-07-07T00:00:00 | 24fc3628e5b54a6b862cebd30089e10d | 1 | short_answer | $$88$$ pieces of candy are distributed to $$8$$ children and each of them can get at least one piece. No two children get the same number of pieces. For the child who gets the most pieces, what is the least possible number of pieces they 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 | 02ae9d804ee04428807ccf0347735e1f | 1 | short_answer | Gill has $5$ pink, $7$ purple and $8$ orange counters in a bag. If Gill wants to double her chances of choosing a pink counter, how many extra counters should she add to the bag? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 6ff1aeeafc744e33a64e02e90286d5c2 | 1 | short_answer | Write down the decimal number that is equivalent to~$0.4-\dfrac{1}{4}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | e7f93b20fa1949a5b96d163190fe511f | 2 | short_answer | There were $40 \%$ more boys than girls at a gathering. After $24$ boys and $24$ girls left the gathering, there were $50 \%$ more boys than girls. How many boys were at the gathering at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 3afd6466bf0841adb2f6d6bd84bf3bad | 1 | short_answer | Given that $4!$ means $4\times3\times2\times1$, find the number of consecutive zeroes at the end of $16!$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 09a7409bcc7b41bab933d472b6cf9c72 | 1 | short_answer | There are $$4$$ black socks, $$4$$ grey socks and $$4$$ red socks in a drawer. Cindy is supposed to get her father and her mother a pair of socks (Only two socks that are in the same colour can be considered as a pair) but the light in the room turns off all of a sudden. How many socks must she take out from the drawer so that there is at least $$2$$ pairs of socks that are in the same colour? | [
"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 | ec10bd49f8c6457cb449008b7df6d3b1 | 1 | short_answer | Demi had an equal number of cupcakes and muffins at first. After $$60$$ cupcakes and $$12$$ muffins were sold, the number of muffins left was twice the number of cupcakes left. What is the total number of cupcakes and muffins Demi had at first? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 424f5f08f14e449d86908c4063ea4d54 | 1 | short_answer | Five times a number increased by seven is equal to forty-seven. What is the number? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 28ed05faea8a41e59403eb56b72c9a55 | 1 | short_answer | George receives $ $3$ more pocket money than Helen every day. Each of them spends $ $5$ a day and saves the rest. After some time, when Helen saves $ $60$ in total, George would have saved $ $90$ more than Helen. How much pocket money does Helen receive each day? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d27388e49bb147658b5c5f6726146dbd | 0 | short_answer | It takes $12.25$ hours for an airplane to fly from Shanghai to Los Angles. On the other hand, because earth spins in specific direction, it takes $90$ more minutes to fly from Los Angles to Shanghai. How many hours will it takes for a round-trip between the two location? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 460949f85e3c4effbfebde69b6a70325 | 1 | short_answer | $$278+127=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 68de1a3c2c7a42e5878f6678167e988b | 2 | short_answer | The ratio of the amount of money that Eddi and Wiya have respectively is 3:2. If Lisa gives Eddi $4, then the ratio becomes 8:5. How much money does Wiya have? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"
] |
2023-07-07T00:00:00 | 4432e80fba244f3683780a9b58ec36db | 1 | short_answer | In an arithmetic progression, the $9\text{th}$ term is $18$ larger than the $15\text{th}$ term, and the sum of the $20\text{th}$ term and the $12\text{th}$ term is $88$. What is the $32\text{nd}$ term in this arithmetic progression? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | 76b97ba68b034e2aabd4b14679196416 | 1 | short_answer | Calculate: $$1+2+3+4+\cdots +29+30+29+\cdots +4+3+2+1=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | 47b5be5fc2a54717be3e247384b899b4 | 2 | short_answer | There are $$37$$ students in class $$3$$A. $$18$$ of them joined sport class, $$22$$ of them joined reading class. If each of them at least joins one of the classes. How many students join both classes？ | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 51d10a94ff2b458f8e10c3ad1c546dd9 | 1 | short_answer | Linda drove to the beach. In the first $$2$$ hours, Linda drove at a speed of $$40\text{km/h}$$. For the remaining $$280\text{km}$$, Linda drove at a speed of $$70\text{km/h}$$. Find Linda\textquotesingle s average driving speed, in $\text{km/h}$, for the whole trip. | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f765b179fd664d7283eb3748010a8192 | 1 | short_answer | How many three digit numbers contain at least two sevens? | [
"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 | f1b52139fff84b708e70c8798718411d | 1 | short_answer | Oni has $$11$$ penpals. Last week she wrote to all of them. She wrote a $$4$$-page letter to some of her penpals and a $$3$$-page letter to the rest. Altogether she wrote $$38$$ pages. To how many penpals did Oni write a $$3$$-page letter? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Basic Type->Non-typical Types"
] |
2023-07-07T00:00:00 | 3934fba87a6f49588fd973f95f1b42fa | 0 | short_answer | Write $180$ minutes in hours. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time"
] |
2023-07-07T00:00:00 | 8270a7ab11474b5c9b8d4b50e94ccec5 | 1 | short_answer | What is the value of the $8$ in the number $768354$ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"
] |
2023-07-07T00:00:00 | 18d62414fcc14256a14001acd25ead4d | 2 | short_answer | Granny takes one a day of each of two types of tablet. One type of tablet is in packets of $25$ and the other type is in packets of $20$. She starts new packets of both on $1^{st}$~March. On what date will she next start new packets of both? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers",
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates"
] |
2023-07-07T00:00:00 | 7ed12a6fbb2b477488bf0f46e7aa015e | 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 | 205d168df66c45e39d3bf4f711e8f6fc | 3 | short_answer | Let $A=a_0+a_1+a_2+a_3+a_4+a_5+a_6 = 1$, where $a_0,a_1,a_2,a_3,a_4,a_5,a_6$ are real numbers. The new operation $\Delta$ is defined as $x\Delta y = x-y$. If: $$A \Delta a_1 = \frac12$$ $$A \Delta a_2 = \frac23$$ $$A \Delta a_3 = \frac78$$ $$A \Delta a_4 = \frac{29}{30}$$ $$A \Delta a_5 = \frac{139}{144}$$ $$A \Delta a_6 = \frac{839}{840}$$ If $a_0 = \frac{m}{n}$ in its simplest form, find the value of $m+n$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 88e7bc9feb964b91bb3e5ab4e020c19d | 2 | short_answer | Teacher writes a four-digit number on paper and Tom guesses what number it is. Tom asks: "Is it $$8765$$?" Teacher says: "Two of the digits are right, but they are not in the right digit position" Tom asks: "Is it $$1023$$?" Teacher says: "Two of the digits are right, but they are not in the right digit position" Tom asks: "Is it $$8642$$?" Teacher says: "Two of the digits are right, and they are in the right digit position" Tom asks: "Is it $$5430$$?" Teacher says: "None of them is right". What\textquotesingle s the $$4$$-digit number? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Comparing",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 467efc939dfd4170ba4658e1f6f2cb7d | 2 | short_answer | Aiden is doing a calculation, multiplying a number by $$4$$ and add $$25$$ to the product. He mistakenly divided the number by $$4$$ and subtracted $$25$$ from the quotient. The answer obtained is $$2021$$. What is the correct answer? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | aeba54327d714c2483bb9b0bcf5e84a1 | 1 | short_answer | How many 0s are there at the end of the product $$75\times56\times12\times105$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"
] |
2023-07-07T00:00:00 | 91a7b96128014a318c03b1434e2ae770 | 1 | short_answer | Chloe has $$4$$ times as many books as Donna. If Donna has $$816$$ fewer books than Chloe, how many books does Donna have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 8e0b24a6852b4ad99f69ab3e1d9f46fa | 1 | short_answer | $$\frac{(\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde+4)}{8}=3$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | a7a7be210f714db38b6463860e92ad08 | 1 | short_answer | At a concert, there were three times as many adults as children and twice as many boys as girls. If there were $$176$$ more adults than girls, how many people were there at the concert in total?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | cbe6883d9f0a4c368c4018abfcc1fd6b | 1 | short_answer | 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 | b5c92f2132ac4326b5a389ac237c0de3 | 1 | short_answer | $$a$$ and $$b$$ are prime numbers and $$3a+11b=193$$. Work out $$a+b$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 8b43d11a50194a5c8d37dc13e3e6af0d | 1 | short_answer | Given that $$\overline{ab} \times 7= \overline{a0b}$$, Find $$\overline{ab}$$. Below is Janice\textquotesingle s attempt at solving the question. $7 ab$ = $10a$ + $b$ $7 a \times b$ = $10a$ + $b$ $7 a \times b$ = $7a$ + $3a$ + $b$ $3a + b$ = $b$ $a$ = $0$ $b$ = $0$ $$\overline{ab}$$ = $0$. Janice: "$\cdots$ ". She thought that the answer was a bit strange but could not figure out what went wrong! Can you help Janice out? Identify her error and find $$\overline{ab}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | e9e75300f0b1494ead9f2af2a39646a1 | 1 | short_answer | Alison has a large number of coloured pencils. When the pencils are divided between four of her friends, there is one pencil left over. If they are divided between five friends there are two left over. Between seven friends there would be four left over. What is the smallest number of coloured pencils that Alison could have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | f1a22796821b429bbf0ea5a8dc834049 | 1 | short_answer | Ellie pays £$$1.50$$ for $$2$$ bananas and $$3$$ apples. Beth pays £$$1.45$$ for $$3$$ bananas and $$2$$ apples. How much does Annabella pay for $$1$$ banana and $$1$$ apple? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | c4e92a647c2e4f7cafbf405c8fd96b68 | 2 | short_answer | $$3$$ construction workers can build $$14$$ houses in $$4$$ days. How many houses can be built by $$9$$ construction workers in $$2$$ days?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | bafdbe5ffa744970a2060ec88389886a | 1 | short_answer | Find the greatest common factor of $12$, $15$ and $60$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 955addf2cd5343a2baa0cdc99bc64d70 | 3 | short_answer | Old Clarrie has three dogs. The oldest is Bob, next comes Rex and Fido is the youngest. Fido is 10 years younger than Bob, and none of the dogs are the same age. When Clarrie adds their ages together they come to 28 years. When Clarrie multiplies their ages together, he gets a number. What is the smallest that this number could be? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Obtaining Maximum/Minimum Values "
] |
2023-07-07T00:00:00 | 205b5f4fe40f4dc39f4c13a431c6c24e | 1 | short_answer | At at funfair $\frac{2}{5}$ of the people were children, $\frac{1}{4}$ were women and the rest were men. Given that there were $20$ more children than men, how many people were there at the funfair altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 7920f0e04e1c4bb58bdd059b9a8054a5 | 1 | short_answer | Adam has some money. He wants to buy some balls. If he buys $$5$$ balls, he will have $$ $15$$ left. If he buys $$8$$ balls, he will need $$12$$ more. What is the cost $$1$$ ball? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | e572f57537f244f3960d8f1978f65baa | 2 | short_answer | $$A$$ and $$B$$ are two distinct $$3-$$digit numbers which have two equal digits (not necessarily in the same number place). It is known that the highest common factor of $$A$$ and $$B$$ is $$75$$. Find the largest possible sum of $$A$$ and $$B$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | bb6949f9da5a4b318164ce5a0275f45c | 1 | short_answer | A ball is dropped onto a hard surface and each time it bounces, it rebounds to one third of the height from which it fell. After the second bounce it rises $$9\text{cm}$$. How high was it initially dropped from? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | f8d4595ae1c84386a2cdab88d9bf6c10 | 1 | short_answer | There is such a positive integer: if it is divided by $$3$$, the remainder is $$2$$; if it is divided by $$7$$, the remainder is $$4$$; if it is divided by $$8$$, the remainder is $$7$$. 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 | 9caf24529ff449c5bd52234a7d53d0f4 | 1 | short_answer | Evaluate $$\frac{\dfrac{1}{30}+ \dfrac{1}{6}}{\dfrac{2}{25}}+ \frac{2- \dfrac{2}{3}}{\dfrac{8}{3}}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | dd4d3217f6ad466eb4b512fa290b4fab | 1 | short_answer | The total mass of Xuanxuan and Lingling is $120.5\text{kg}$. The total mass of Xuanxuan and Jay is $105.25\text{kg}$. Lingling is twice as heavy as Jay. What is Xuanxuan\textquotesingle s mass?~\uline{~~~~~~~~~~}~$\text{kg}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 84471787dba0421d8ae2f1995580d453 | 1 | short_answer | Lee and Nancy are typing a document. If they work together, they will finish the job in $$10$$ hours. If Lee types for $$6$$ hours and then Nancy types for $$20$$ hours, they can also finish the job. How long will it take Nancy to finish the job by herself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | d268cf0ab65245d3958844e7297250a7 | 1 | short_answer | There were $$40$$ pupils and $$30$$ pupils in class $$A$$ and class $$B$$ respectively. The pupils in both classes took the same examination and scored an average of $$90$$ marks. Given that the average score of Class $$B$$ was $$7$$ marks higher than that of Class $$A$$, find the average score of Class $$B$$. | [
"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 | c69301f007a447459a2f26b32add259c | 1 | short_answer | Find the value of~ $$\frac{1}{\dfrac{1}{2007 \times 2008}+ \dfrac{1}{2008 \times 2009}+ \dfrac{1}{2009}}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
Subsets and Splits