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stringclasses 5
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 04cf5bf4ba704663af7e01b1fc0bebfa | 1 | short_answer | Bob has~£100 pocket money. He deposits £5 on the first day, spends £8 on the second day, deposits £5 on the third day, spends £8 on the fourth day, and so on. How much money does he have in 15 days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 0a38ebf245ee4048babeb982de7ed428 | 1 | short_answer | Find the remainder of $\underbrace{333\ldots333}_{{12 \text{digits} }}\div7$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations"
] |
2023-07-07T00:00:00 | 6ea9279809514a5d9fa706e9c64edc86 | 2 | short_answer | A squirrel is jumping from the bottom of a 31-metre tree. It could jump up 3 metres each time, but it would fall 2 metres after every 3 jumps. How many jumps does it take the squirrel to reach the top of the tree? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | a9c71626af834229920858670d8deb58 | 0 | short_answer | work out $$32.4\times20$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | c4e5b60db727448e994c386475bbe6ac | 1 | short_answer | Calculate: $$\frac{1}{1 \times 2}+ \frac{2}{2 \times 4}+ \frac{3}{4 \times 7}+ \frac{4}{7 \times 11}+ \frac{5}{11 \times 16}+ \frac{6}{16 \times 22}+ \frac{1}{22}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Splitting Terms and Finding the General Term->Splitting Terms of Fractions"
] |
2023-07-07T00:00:00 | 8b3d2426e47742fb80de5edfc5c95b39 | 1 | short_answer | Helen spends one-third her money on a dress. She then spends three-fifths of what is left on shoes. If she had £$40$ left, ~how much does she have at the start? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base",
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | c837716e3d8d4f158df0c801a3ba58fc | 2 | short_answer | How many zeros does the number $\dfrac{999!}{300!}$~end with？ | [
"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 | bb8f428d14394c4988e5515d435ac635 | 1 | short_answer | Calculate: $$198+298+398+498=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 608b695eba534dd0b83d2b27d7e435ab | 1 | short_answer | $\otimes$~has been defined as a new operation where~$a\otimes b=4a+0.6b$. Find the value of~$10\otimes9$. Pip\textquotesingle s answer: $10\otimes9=4\times9+0.6\times10=36+6=42$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 05662ab12b7a42d08cb4ed68f2868599 | 1 | short_answer | The students from Year $4$ formed a square, with $60$ students on the outermost layer. How many students are there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | b3775d03019b4cdcb4930d45861d8841 | 1 | short_answer | On a ferry, the total number of cars, bikes and lorries is an even number and is less than $$100$$. The number of cars is one third more than the number of bikes. The number of bikes is one quarter more than the number of lorries. How many cars, bikes and lorries are there on the ferry? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] |
2023-07-07T00:00:00 | 5a93f9e1eb9e4c528f6c8a07e299ea6a | 2 | short_answer | There were $$64$$ more buttons in box $$\text{A}$$ than box $$\text{B}$$ at first. Ken then added some more buttons in box $$\text{A}$$. For every $$1$$ button he added to box $$\text{A}$$, he removed $$2$$ buttons from box $$\text{B}$$. The number of buttons in box $$\text{B}$$ became $$28$$ fewer than before. In the end, the ratio of the total number of buttons in both boxes to the number of buttons left in box $$\text{B}$$ was $$4:1$$. How many buttons were in box $$\text{A}$$ at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Two Variables"
] |
2023-07-07T00:00:00 | 564dba708ca745b9b0b4d8a734001762 | 1 | short_answer | In an arithmetic sequence, the first term is $2$ and the last term is $42$. The difference between any two successive terms equals $4$. Find the total number of terms in this sequence. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 2c22df9d95b44b4db50520cf03c17839 | 2 | short_answer | A square wall is laid with small square ceramic tiles of red and green colors. Counting from the outside to the inside, the outermost layer is laid with red tiles, the second layer is laid with green tiles, the third layer is laid with red tiles, and the fourth layer is laid with green tiles, etc. A total of $400$ blocks of ceramic tiles are used. Find which color of tiles are used more on this wall, and the difference between the numbers of the two colors of tiles on this wall. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | b7dd6767772245f2a0cb23c299ebb8cc | 1 | short_answer | Calculate: $$18\times 20132013-2013\times 180018$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f5cbd8c2b99c4ff8b9a9ff2d867ac03e | 1 | short_answer | Work out $$764\times7$$ ANSWER~\uline{~~~~~~~~~~}~ | [
"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 | 5d7205c22e4740dd84e7bc08f1cd9a65 | 1 | short_answer | Hana played a game. For every round that she wins, she gains $4$ cards. For every round that she loses, she loses $2$ cards. If she won a total of $24$ cards after $12$ rounds, how many rounds of the game did she lose?~\uline{~~~~~~~~~~}~rounds | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 4cf1f3c8353c42d48e99e5d8f388a57b | 2 | short_answer | A boulevard in a park is 300m long. How many litter bins can be placed on one side of it at 10m intervals, and on both ends? (Ignore the width of the bins.) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 9dfbbfcf5edf458aa1a6122065492810 | 2 | short_answer | lf the number $$26\underbrace{201120112011\ldots2011}_{{n 2011\text{s}}}7$$ is divisible by $33$, what is the minimum value of $n$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 9f759ca5b84e4722b43ef86e4d6a402e | 1 | short_answer | We need 326g of flour to make a cake. Sam wants to make 112 cakes, find out the amount of flour he needs. | [
"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 | 292d7aaf42294c3a913c5cd11bf66c14 | 1 | short_answer | A game is played with identical coins according to the following rule. In each by round, the player with the most coins gives one coin each to the other $$2$$ players and also places one coin into the discard pile. The game ends when one player runs out of coins. Players $$X$$, $$Y$$ and $$Z$$ start with $$20$$, $$19$$ and $$18$$ coins, respectively. How many rounds will the game last? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | 241c2dd43db940409e5ad15ed39d57aa | 1 | short_answer | How many different ways are there to split $$7$$ identical lollipops into $$3$$ identical plates (the plate(s) can be empty)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 3795aecee78f4af494bcf5420bcf0bb2 | 0 | short_answer | Bob the builder takes $$3$$ minutes to cut a log into $$4$$ pieces. How many minutes will he need to cut a log of same size into $$8$$ pieces. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | f22dbe753e484186ac547d34fa2ff25b | 1 | short_answer | $$2.7\times3.9$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | b13b087d91c3418cab75e734f729a72f | 3 | short_answer | Rasidah had $$$48$$ less than Chai Seng. Rasidah spent~$\tfrac{3}{5}$~of her money and Chai Seng spent~$\tfrac{6}{7}$~of his money. In the end, Chai Seng had~$\tfrac{1}{2}$~as much money left as Rasidah. Find the amount of money Rasidah had at first. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 94aea93a419044dfa74eed60bd70bafa | 0 | short_answer | Jasmine collects pico-cards and has $236$ in her collection. However, $57$ are duplicates; so she decides to sell the duplicates and buys $34$ new cards. How many does she have in her collection now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 9151e126e4304a27988564dbee6d682a | 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 | 2a6e8406868b4590b821325ac25f87f2 | 3 | short_answer | $$Andy$$ had $$84$$ fewer cookies than $$Ben$$ at first. After $$Andy$$ bought~$\tfrac{1}{3}$~more cookies and $$Ben$$ bought~$\tfrac{1}{5}$~more cookies. $$Aandy$$ had~$\tfrac{1}{3}$~as many cookies as $$Ben$$ in the end. How many cookies did $$Andy$$ have in the end? | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity"
] |
2023-07-07T00:00:00 | 4f4e10b41d3540d6a2739c9860f76327 | 2 | short_answer | Find the integer part for the result of the following expression. $$1+ \dfrac{1}{2}+ \dfrac{1}{3}+ \dfrac{1}{4}+ \cdots + \dfrac{1}{7}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Scaling"
] |
2023-07-07T00:00:00 | 73d5e9762ad24f7fa6f2d7569f186b42 | 4 | short_answer | Tom and $$8$$ of his friends went to Mr Tan\textquotesingle s house to play. Mr Tan gave each of them a hat with a two-digit number on it. All $$9$$ numbers are different and the students are able to see their friends\textquotesingle{} numbers but not their own. Mr Tan wrote a number on a slip of paper and ask the $$9$$ students: "Those of you that knows for certain that your number \textbf{is divisible} or \textbf{not divisible} by this number, please raise your hands." $$4$$ students raised their hands. Mr Tan then asked again:" Those of you that knows for certain that your number \textbf{is divisible} or \textbf{not divisible} by $24$, please raise your hands." $$6$$ students raised their hands. Tom raised his hands in both rounds and in addition to that, all students are smart and would not lie. What is the sum of all $$8$$ numbers that Tom saw on his friends\textquotesingle{} hat? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | c59949dfd8964b7c95155bd81b7b9c07 | 2 | short_answer | Bella deposited $$$35 000$$ in a fixed deposit account which paid her an interest of $$1.5 \%$$ per year. After a few years, the amount of money in the bank became $$ $37100$$. $ $ Bella said, "I saved my money in the bank for $$5$$ years." $ $ Is she correct? If she is wrong, how many years did she actually save her money in the bank? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 237973530d60417cbab4c373e76cf50a | 1 | short_answer | Think Academy has $56$ pencils and $60$ pens to give students as gifts. Each student should receive the same amount of pencils and pens, leaving no spare pens or pencils. How many students at most will be able to receive the gift? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers"
] |
2023-07-07T00:00:00 | 057332102b164fd582fffc07825bb51c | 1 | short_answer | Work out the sum of the numbers below: $$0.7$$~ ~ ~ $$0.04$$~ ~ ~ $$1.006$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | f4a501507e754c76bc20c97fd6f8faa9 | 1 | short_answer | $$n$$ is the next number in this sequence: $$18$$, $$-16$$, $$19$$, $$-15$$, $$20$$,\ldots{} $$n=$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Filling Sequences according to the Patterns"
] |
2023-07-07T00:00:00 | f037a02a789f4f3a9d9393741e8484d5 | 2 | short_answer | Four distinct positive whole numbers are arranged in descending order. Given that the sum of the smallest number and the average of the other three numbers is $$39$$, and the sum of the largest number and the average of the other three numbers is $$51$$. What is the largest possible value of the largest number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | e3bab1d410dc404dbc75f29bc60577f7 | 1 | short_answer | I am a fraction equivalent $\dfrac{6}{20}$. My numerator is $$12$$. What is my denominator? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"
] |
2023-07-07T00:00:00 | 2c1f33a3652843e18c61ed4042aa9d84 | 2 | short_answer | One class of pupils took Math, Science and English tests. $$30$$ pupils passed the Math test, $$28$$ pupils passed the Science test, and $$25$$ students passed the English test. If $$43$$ pupils passed at least one test, at most how many pupils passed all three tests? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Extreme Value in Inclusion-Exclusion for Multi-sets",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | d19c1cad2e934abcb96adf33ea0fad9b | 2 | short_answer | Ahmad and his younger brother studied at the same school. One morning, they walked from home to their school at the same time. The speed of Ahmad and his younger brother was $$80$$ meters per minutes and $$50$$ meters per minutes respectively. When Ahmad reached school, he realized that he forgot to bring his pencil box and he returned home immediately. Ahmad met his younger brother at a distance of $$210$$ meters from school. Find the distance between the school and their home. | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Solving Travel Word Problems with Equations",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 303367dad74a4dfb9a731577b950143b | 2 | short_answer | How many ways are there to distribute $$6$$ identical pens into $$3$$ different pencil cases (the pencil cases cannot be empty)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 70234dd3b3ad4df4976b94f3fc2b43b6 | 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 | f5859830704a437f8da45cb32fad686c | 1 | short_answer | Joey climbed $$8,844$$ meters to the top of Mount Everest. What is the difference between the place values of both $$8$$\textquotesingle s? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | a1813c83d15f4f918bb921475c77ae6b | 2 | short_answer | A palindromic number is a number that reads the same when the order of its digits is reversed. What is the difference between the largest and smallest five-digit palindromic numbers that are both multiples of $$45$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems"
] |
2023-07-07T00:00:00 | a8da05a870cb4d889d878067168a25f3 | 1 | short_answer | A four-digit number $$572A$$ can be divisible by both $4$ and $5$. Find the digit that $A$ represents. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 8730c5dc402e4057a7e7d6856f461142 | 1 | short_answer | I have a packet of biscuits which contains less than $500$ biscuits. If I put them into piles of $5$, I have one left over. If I put them into piles of $6$, I have two left over. If I put them into piles of $11$, I have seven left over. How many biscuits do I have? \uline{\textbf{Step 1: Find the common supplement}} The common supplement is~\uline{~~~~~~~~~~}~. \uline{\textbf{Step 2: Find the LCM of all the divisors}} The LCM of $5$, $6$ and $11$ is~\uline{~~~~~~~~~~}~. \uline{\textbf{Step 3: The unknown = the common multiple of all the divisors} -\textbf{\uline{~~}the common remainder}} The unknown $=$~\uline{~~~~~~~~~~}~$-$~\uline{~~~~~~~~~~}~$=$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 5f74a8aa962b42f9a008f301d384a07d | 1 | short_answer | A number is a palindrome if its digits are the same when written forward or backward. For example, the numbers $$7$$, $$11111$$ and $$302203$$ are palindromes. What is the smallest number that can be added to $$40309$$ to create a palindrome?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 00ada5e7f99244a19a9c65f66bf12fe4 | 1 | short_answer | Mia needs to cut two ribbons with lengths of $16$ $\text{m}$ and $24$ $\text{m}$ into small pieces of equal length with out leaving any surplus. What is the longest possible length of each piece? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 27f205a241de4c258f0bfe079d7d85e0 | 1 | short_answer | A herd of sheep is lining up to eat grass. Luna is the $$7$$\textsuperscript{th} counting from front to back. There are $$4$$ sheep behind her. How many sheep in total are in the line? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of one Character in a Line"
] |
2023-07-07T00:00:00 | c5f435f6f01d47f984563502e879e7c1 | 1 | short_answer | William is taking a part-time job which is paid $18$ dollars per hour. How many hours does he need to work for if he wants to earn at least $270$ dollars in a week? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 306362839da448f6af25c3777e0f4fb8 | 1 | short_answer | $$10$$ students join a maths exam. The mean score of the top $$3$$ students is $$92$$, while the mean score of the last $$7$$ students is $$6$$ less than the mean score of all $$10$$ students. What is the mean score of all $$10$$ students? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 6fd3dee61dd1454aba4ca3fdcb068b42 | 0 | short_answer | $$$$Calculate.$$$$ $$(36+8\times4-8)\div 10$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 15a26c7f348e44f0984ed5433abaeb4a | 3 | short_answer | The year $$2013$$ has a four-digit number consisting of four consecutive digits (not necessarily in order). We call it a "lucky year." How many "lucky years" have we experienced from $$1000$$ AD to $$2022$$ AD? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | 692dd4bd8aad469b93929bfd3c53cde1 | 2 | short_answer | Six bags of marbles contain $$19$$, $$21$$, $$27$$, $$32$$, $$37$$ and $$40$$ marbles respectively. One of the bags contains red marbles only. The other five bags do not contain any red marbles and are labelled \textquotesingle$$X$$\textquotesingle, Jaslin takes three of the \textquotesingle$$X$$\textquotesingle{} bags and George takes the remaining \textquotesingle$$X$$\textquotesingle{} bags. If Jaslin gets twice as many marbles as George, how many red marbles are there? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 102565a663954649adc3478cad3c899d | 2 | short_answer | SASMO 2015 P2 Q11 Andre and Beth both had a total of 24 sweets. After their teacher gave them 4 sweets each, Andre now has 6 sweets more than Beth. How many sweets does Beth have now? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 31ae45e446194415af930b6a32732592 | 1 | short_answer | The sum of five consecutive even numbers is $100$. What is the smallest of these five numbers? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 96bf00410c5d499991e067f6eac1c2fb | 1 | short_answer | A car travels $$550\text{km}$$ in $$5$$ hours. At this speed, in $$3$$ hours, how far will the car travel? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 932e3588f77946a58e948ab41abb1c9f | 1 | short_answer | Will is selling apples at the farmer\textquotesingle s market. After selling $\dfrac{2}{5}$, he has $150$ left. How many apples did Will have to start with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | dd7ef81126644ff58215f822282cae06 | 1 | short_answer | What is the smallest positive whole number that divides exactly by $1, 2, 3, 4$ and $5$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Multiple Numbers"
] |
2023-07-07T00:00:00 | 4e5a3868c9c2434595c65034ace0b292 | 3 | short_answer | Ellina has twelve blocks, two each of red ($R$), blue ($B$), yellow ($Y$), green ($G$), orange ($O$), and purple ($P$). Call an arrangement of blocks $even$ if there is an even number of blocks between each pair of blocks of the same color. For example, the arrangement $R$ $B$ $B$ $Y$ $G$ $G$ $Y$ $R$ $O$ $P$ $P$ $O$ is even. Ellina arranges her blocks in a row in random order. The probability that her arrangement is even is $\frac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$. (2022 AIME I Problem 9) | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 123966a82052442699a9217c1798213b | 1 | short_answer | A frog jumps from one post to an adjacent post. Each jump is $$3$$ inches long. How far is it from the 1st post to the 15th post? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 7c976da5c8314e559893fed4d2545dcc | 0 | short_answer | $$$$Calculate.$$$$ $$342-(85-78)\times15$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 30fcda504e8d40b4aeaac401d2df58e4 | 1 | short_answer | Victoria prepares $18$ pears, $30$ strawberries, $36$ apples, and $18$ boxes of chocolate for her friends. She divides all of them equally among her $6$ friends. How many fruits does each of her friends get? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | 2876f7ddaab14397976d9a29249f7fe2 | 1 | short_answer | ($$2015$$ National Mathematical Olympiad of Singapore, Special Round, Question \#$$9$$)\hspace{0pt}\hspace{0pt} There are $$2$$ inlets (namely $$\text{A}$$ and $$\text{B}$$) in a pool. If only inlet $$\text{A}$$ is open, it takes $$36$$ minutes to fill up the empty pool. If only inlet $$\text{B}$$ is open, it takes $$48$$ minutes to fill up the empty pool. Now, inlets $$\text{A}$$ and $$\text{B}$$ will be open in turns, according to such an order, open inlet $$\text{A}$$ for $$1$$ minute, $$\text{B}$$ for $$2$$ minutes, $$\text{A}$$ for $$2$$ minutes, $$\text{B}$$ for $$1$$ minute, $$\text{A}$$ for $$1$$ minute, $$\text{B}$$ for $$2$$ minutes $$\cdots$$ So on and so forth. How long, in the nearest minutes, does it take to fill up the empty pool? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Pool Filling and Draining Word Problems"
] |
2023-07-07T00:00:00 | e71f218803924703bffc15e15224ba0b | 1 | short_answer | Alan and Bob can paint a room in $$4$$ hours. Bob would take $$6$$ hours on his own. How long would Alan take on his own? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems->Basic Collaboration Word Problems"
] |
2023-07-07T00:00:00 | cd38959f92fb4e319b79a21e7b76d58f | 1 | short_answer | A weather forecast says, The probability that it will rain on Saturday is $0.7$. The probability that it will rain on Sunday is $0.5$. What is the probability that it will rain at least one day on Saturday and Sunday? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 58c65fe8c729419faa7ab40e34ec522c | 0 | short_answer | Samantha has $$6$$ fewer pencils than Matthew. If Matthew has $$31$$ pencils, how many does Samantha have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | 79f67407094f46b5b519e683dcaa47b1 | 0 | short_answer | $$$$Calculate.$$$$ $$(46+7\times3-7)\div 20$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a95c5e315cdc4b218288615a503b9e17 | 2 | short_answer | Eddie attended a math competition which had a total of $$10$$ questions. Every correct answer is awarded $$10$$ points while incorrect answers will result in a loss of $$3$$ points. Eddie answered all the questions but only gained $$48$$ points. How many questions did he answer incorrectly? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 8a6cf5778ac04779aa35bd346944e9ea | 2 | short_answer | The product of $$n$$ whole numbers $$1\times2\times3\times4 \times5\times \cdots\times (n - 1)\times n$$ has twenty eight consecutive zeros. Find the largest value of $$n$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization"
] |
2023-07-07T00:00:00 | 0d15eca36ec748eeb767eb2dd214bad3 | 1 | short_answer | The total weight of Henry, Fred and Richard is $$204.56\text{kg}$$. Richard is $$3.24\text{kg}$$ lighter than Henry. Fred is $$5.6\text{kg}$$ heavier than Richard. What is Fred\textquotesingle s weight? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | a3fdcafb566f460b979225e8d39c3503 | 2 | short_answer | At a store, $$2$$ empty bottles can be exchanged for $$1$$ bottle of mineral water. Lucas bought $$10$$ bottles of mineral water. The shop owner can lend him $1$ empty can but needs Lucas to return it when he has finished drinking. At most how many bottles of mineral water can he drink? | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"
] |
2023-07-07T00:00:00 | b69896aa9f7e46fe9132abed6a7e3e0e | 2 | short_answer | There are two rectangular swimming pools with the same base and height. When they are full, the water in swimming pool $A$ can be drained in $10$ minutes while the water in swimming pool $B$ can be drained in $6$ minutes. If both of two swimming pools start to drain water at the same time, after how many minutes the height of $A$\textquotesingle s waterline will be $3$ times that of $B$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems"
] |
2023-07-07T00:00:00 | e5f11fb592e84030a40404b984c70a41 | 1 | short_answer | Solve the equation below: $$51-3\left( 2x-2 \right)=21$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 5f4e105849d24adda1343493fbfdba1e | 1 | short_answer | There were $$18$$ children in a queue. Counting from front to back, Vanessa was the $${{10}^{\text{th}}}$$ in the queue. Andrea was the $${{12}^{\text{th}}}$$ counting from the end of the queue. How many children were between Vanessa and Andrea? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Positional Relationship between Two Characters without Overlapping"
] |
2023-07-07T00:00:00 | 8447879252624d80abee2367655025a7 | 1 | short_answer | Sophie has $320$ sweets. Each week she buys $30$ new sweets and eats some old ones. After $7$ weeks she has $348$ sweets. How many sweets does she eat each week? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations",
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division"
] |
2023-07-07T00:00:00 | aef19b3423ea4e4db4e653899791075e | 0 | short_answer | Fill in the missing digit so that there is no remainder when the following number is divided by $6$: $281$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 7c9f36ec8f484e11986b79be63c2965e | 1 | short_answer | A path is $\frac56$km long. A fence is built along the path for $\frac23$km. What is the distance of the path that is not fenced? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 33b87e7146da47bfaf494ee09b2a87fc | 1 | short_answer | Louise spent $$4$$ hours at home yesterday. Max spent one hour less than Louise at home. Sally spent $$3$$ times the amount of Louise at home. How much time did Sally spend at home? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | eac1ed2db4cd4aeba3d60c1847748394 | 1 | short_answer | Solve the equation. $$(10x-8)-(12-10x)=2$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 7e5f8417567e4906a4369f99123b1772 | 1 | short_answer | Chenxi and Yue Ying have some sweets. Chenxi has $$5$$ more sweets than Yue Ying. If Chenxi gives Yue Ying $$10$$ sweets, what will be the difference in number of sweets they have now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | a9cffd9f20194c40af59a76b9109b46e | 1 | short_answer | The greatest common factor of $16$ and $36$ is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 298e42b0f337482ab1dc2d26faaf6521 | 1 | short_answer | $$1$$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | 101213693c2745c385e01db607de76dc | 0 | short_answer | Wilson travels from his home to office at $3$ km/h and reaches his office $12$ min late. If his speed was $7$ km/h he would have reached $8$ min early. Find the distance from his home to office. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Proportion and Inverse Proportion"
] |
2023-07-07T00:00:00 | b97c96624e2c48adabfda458ee48cae5 | 1 | short_answer | Work out : $$35 \%$$ of £$$200$$. Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 192fafc0d2ce44eb94ff567dea0bb271 | 1 | short_answer | The sum of two prime numbers is $69$. What is the difference of these two prime numbers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers"
] |
2023-07-07T00:00:00 | cc0957dc16a0487dbd25e08d32dfd716 | 2 | short_answer | There are $$6$$ goats in a farm. The number of lambs is $$4$$ less than $$4$$ times that of goats. How many lambs are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 90d3eecee3cc4363a4700ae0f6ac9f45 | 1 | short_answer | There are $$1050$$ students in school A and school B. 20 students in school A need to transfer to school B because they are moving house. After this, school A still has $$10$$ more students than school B. How many students does school A have originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 8b5d0f2f1fc844cfbe9a313fbf4b0b31 | 1 | short_answer | Insert two pairs of brackets to make the result of the equation biggest. $$15+5\times5+15-6+7$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 94a7862baa614940812b4e4e2f3f9368 | 0 | short_answer | $254 \times6$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication in Vertical Form"
] |
2023-07-07T00:00:00 | a0395fcbfd2d439aa13dcc4f5226aeb1 | 1 | short_answer | Sandy attended a math competition which had a total of $10$ questions. Every correct answer is awarded $10$ points while incorrect answers will result in a loss of $5$ points. Sandy answered all the questions but only gained $70$ points. How many questions did she answer correctly?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 369c0cce832f4bee85b43ed04d21f9c1 | 1 | short_answer | The fourth-grade class at Valley Elementary School has $35$ students: $20$ taking maths class, $11$ taking both the writing class and the maths class, and $10$ taking neither of the classes. How many students are taking the writing class only? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 067c82adbd46460b82300b0fbc1bcc13 | 1 | short_answer | Judy\textquotesingle s birthday is on $08/07/2003$. Using the digits from her birthday, what is the largest prime number that can be formed, which is less than $50$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | f90a5e4a189b415caad9310b12a991d9 | 2 | short_answer | The average of the five numbers in a list is $$54$$. The average of the first two numbers is $$48$$. What is the average of the last three numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Finding the Average by Using Principle of Inclusion-Exclusion"
] |
2023-07-07T00:00:00 | 86c522861eca4579aee63cfe6a2ed4f0 | 1 | short_answer | When Teddy was $$5$$ years old, his father\textquotesingle s age was $$7$$ times his age. When his father is $$40$$ years old, how old will Teddy be? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | 4822c5372e3f4b81b32d47e02e9fb76a | 2 | short_answer | Calculate: $1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 =$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 218aeeff17964c29855e70445931229c | 3 | short_answer | Question: $\dfrac{2}{7}$~of the audience at a play were adults.~$\dfrac{4}{5}$~of the remaining audience were boys and the rest were girls. Given that there were $$80$$ more adults than girls, how many people were there at the play? Adriana\textquotesingle s workings: Girls $=1-\frac{4}{5}=\frac{1}{5}$ of the remainder $=\frac{1}{5}\times\frac{2}{7}$ $=\frac{2}{35}$ Adults $=\frac{2}{7}$ Difference $=\frac{2}{7}-\frac{2}{35}=\frac{8}{35}$ $\to$ $80$ people Total people $=\frac{80}{8}\times35=350$ people. Now, let\textquotesingle s look at Adriana\textquotesingle s workings for the question. Is there any mistake? Solve the problem and show all workings. There were~\uline{~~~~~~~~~~}~people at the play. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | ff96cbe022d54ccd8c38734e0820996b | 1 | short_answer | Andrea is trying to find out how many slices of pizza she gets after cutting it 4 times. Before she cuts, she thinks: "If I cut along the diameter of the pizza for 4 times, I will get at most 10 slices of pizza, because $$1+2+3+4=10$$." Do you agree with her? Explain. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | de1d2a07c3e741a88e3e8a8c740433f4 | 1 | short_answer | There are 40 toys in a row. The elephant is at the $$10^{\rm th}$$ position counting from left to right. There are $$5$$ toys counting from the rabbit to the elephant. If the elephant is on the left side of the rabbit, what is the rabbit\textquotesingle s position counting from right to left? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"
] |
2023-07-07T00:00:00 | 6d776ddacbf9461eb585ab73856e3bc6 | 1 | short_answer | Ivy\textquotesingle s favorite book has $109$ pages. Help her find the sum of all the digits numbering this book from $1$ to $109$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 0625264c9a9d4b1e9c10ef4590d1be1c | 1 | short_answer | There is a total of $48$ dolphins in an aquarium. Among them, some are pink, and the others are gray. The number of gray dolphins is $11$ times the number of pink dolphins. How many pink dolphins are there in the aquarium? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | fc10a17cccd04e8a8b4ba3e7393837eb | 1 | short_answer | The area of a triangle is $54\text{cm}^{2}$ and it has a base length of $9\text{cm}$. What is the height of the triangle?~\uline{~~~~~~~~~~}~$\text{cm}$ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
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