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 | 54dfc5bdf157460ba47b99d87cd73558 | 1 | short_answer | $55~\times 13 − 44~\times 13$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers->Extracting the Common Factor of Fast Whole-number Multiplication "
] |
2023-07-07T00:00:00 | 0877713fe19e4645ba3e7db233f47117 | 3 | short_answer | 65\%~ ~65\% of the animals in a farm were cows and the rest were goats. When 240 more cows and goats were added to the farm, the percentage of cows increased by 20\% and the number of goats doubled. How many goats were there in the farm at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | bdce3fe10c474df4a19293921b1f972c | 1 | short_answer | Work out $$3647\div7$$ ANSWER~\uline{~~~~~~~~~~}~ | [
"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 | 56e620f09fd54f8c8dc2fe4e97e4c388 | 1 | short_answer | Calculate: $$9 -- 8 + 7 -- 6 + 5 -- 4 + 3 -- 2 + 1=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 3a1e525fd69d41e8bdcd18e39e142f01 | 2 | short_answer | There are $3$ boys, $3$ girls, and $3$ teachers standing in a line and taking photos. If the three girls want to stand together, and no two boys stand adjacent to each other, how many different ways are there for them to line up? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | a9d8b165410c4c1bb74c1c179cf2b128 | 2 | short_answer | All the sides of Triangle X are 3 cm. All the sides of Triangle Y are 9 cm. How many times can Triangle X fit into Triangle Y? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 6791440725654626ab51c36b9e94af1d | 0 | short_answer | Find a three-digit number that has the following properties: When the number is divided by $7$ the remainder is $4$. When the number is divided by $8$ the remainder is $4$. When the number is divided by $9$ the remainder is $4$. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | d32cc1f9d4b249a0a64ad0610aee08f4 | 2 | short_answer | Tristan spent \textbf{$5x} on \textbf{12} pens. He then spent \textbf{$3x} on \textbf{5} pencils. If he spent a total of \textbf{$120}, find the value of \textbf{x}. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 78fdc8747f5a4d3aabce52d5e041f78f | 2 | short_answer | \textbf{A teacher wants to choose two students to represent the class in a competition. She finds that there are five students in the class who meet the eligibility criteria: Calvin, Sung, Jan, Becky, and Antoine. Because all five are eligible, she decides to select two at random. In how many different ways can this teacher select two students out of five students?} \textbf{ } \textbf{ } \textbf{ } \textbf{ } \textbf{ } | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 1e0501ed2b454e8abdc227085d3243e5 | 1 | short_answer | How much larger is $8 \times 9 \times 10$ than $1 \times 2 \times 3$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 22bdbf51eef54f7ab3652064b38ab235 | 1 | short_answer | Jenny made $$30$$ bouquets of roses. There were $$9$$ roses in each bouquet. How many roses were there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 960bdf3b8c724781b3eb3607d3f03609 | 2 | short_answer | Dad and Mum brought John out to eat. The restaurant has $2$ different appetisers, $3$ different main course, $1$ soup of the day and $2$ desserts. John wants to pick $1$ appetiser and $1$ main course for sure, but the soup and dessert are optional. How many different combinations can he form? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 65fe506e0c914a8c89a3851368d52567 | 1 | short_answer | There were between $100$ and $200$ children at a party. At the party all the children were put into groups of $$8$$ to play a game. Three children had to sit out. For another game they were put into groups of $$9$$. One child had to sit out. How many children were at the party? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 9bb456e92cbe4dd58a5b0ef6f7f77fc4 | 1 | short_answer | In a bag there are $4$ red balls and some blue balls. I take two balls out of the bag without replacement. The probability that both balls are red is $\frac27$. How many blue balls are in the bag? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | cfe05c3227c9427eadd085e9de47f044 | 1 | short_answer | Find the sum: $$6+11+16+21+26+31+36+41$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 2c300804986d4690a8ea13da0f77fd40 | 1 | short_answer | 1 dog weigh as much as 8 rabbits.~ 1 rabbit weigh as much as 2 chickens. How many chickens weigh as much as 1 dog? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 3aa12de14bc74a3ba901fd2b6e1a45e0 | 2 | short_answer | How many $$10$$-digit whole numbers are there, where in each number, the product of the $$10$$ digits is $$2^{27}$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 08a17429c2dc42c9b5df787d8fb4954e | 1 | short_answer | Terry bought a cake. She cut the cake into equal slices. Her family ate $\frac{3}{5}$ of the cake. She gave $2$ slices to her friends and had $4$ slices left. How many slices of cake did she have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 6a7086b44acb47afbeb35af00a141b68 | 1 | short_answer | Mike and Danny are typing a document. If they work together, they will finish the job in $$10$$ hours. If Mike types $$8$$ hours and then Danny types $$13$$ hours, they can also finish the job. How long will it take Danny to finish the job by himself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 7e303a81959f4dd3a8821c03daae5549 | 2 | short_answer | Calculate: $$51+50-45+40-35+30-25+20-15=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 346ccc5e74434ee687f8c2396be87095 | 1 | short_answer | Ryan recently learned how to write big numbers and wrote the number $$2,435,643$$ on a piece of paper. What is the difference between the place values of two $$3$$s in $$2,435,643$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 807f47199e524c889e2cda11d4b6aedd | 1 | short_answer | Cayden has $$7$$ pencils and he wants to put them into $$2$$ pencil cases. Now matter how he distribute the pencils, one of the pencil case will have a minimum number of how many pencils? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 5a9cac73f017480d9c49cfcbd2b7a15a | 1 | short_answer | Given that $$a\oplus b=a+(a+1)+(a+ 2)+(a +3)+\cdots +(a +b)$$, find the value of $$m$$ if $$m\oplus10= 66$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Unknowns Using the Given Operations"
] |
2023-07-07T00:00:00 | 5f8547cf000a40589c011a253c103568 | 1 | short_answer | There is a square board with a side length of $$54$$ cm. Tom places a chess every $$3$$ cm around the board(Chess can be put in corners). How many chess can be put in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | a6143a5df73447d390e4a2025ba6b232 | 2 | short_answer | $$100$$ squares are placed in a row, each filled up with a digit among $$0$$, $$1$$, $$2$$, $$\cdots $$, $$9$$. Now if a digit appears $$5$$ times or more, all the squares filled up with that digit will be painted red. Find the smallest possible number of red squares. | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Coloring Problems"
] |
2023-07-07T00:00:00 | 507fbe69eeb341c4a1e466db8bc07b00 | 1 | short_answer | The first term of a sequence is $$50$$, the second is $$46$$ and the third is $$42$$, and so on. How many terms are there until the first negative term? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 84c34602d0aa4900966c5a8ceeee71d3 | 2 | short_answer | Sheena had $$ $10$$. She spent $$ $2.89$$ on a folder. Her father then gave her $$\frac{4}{5}$$ of a dollar. How much money does Sheena have now? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a19b145685704a7fb1edf952d6f61f0d | 2 | short_answer | A $$4-$$digit number has the following properties: ($$a$$) This number is a perfect square. ($$b$$) The first two digits of the number are equal. ($$c$$) The last two digits of the number are equal. What is the $$4-$$digit number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | b00453f28a704896a9c2914acfc85c84 | 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 | 03819e32406b409c97adc853ab0849b7 | 2 | short_answer | Find the value of $$3m-1+m$$ when $$m=7$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 622d8f504b0b4e3c833da2860ca06ea3 | 1 | short_answer | Tim and Bob depart from two places $$780$$ km apart at the same time driving towards each other. Tim\textquotesingle s speed is $$56$$ km per hour, and Bob\textquotesingle s speed is $$74$$ km per hour. After a while, the distance between them is $$130$$ km for the first time. How many hours have Tim and Bob driven for? | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"
] |
2023-07-07T00:00:00 | 97280eb5e85b48fa922958bc7829aeeb | 1 | short_answer | A snail wants to climb out of a $$ 11-$$metre burrow. It climbs up $$3$$ metres during the day and slides down $$1$$ metres 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 | 87f0754be1e1426ea4912fd9aa134e2f | 1 | short_answer | Calculate $$6 -- 4.226$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 2c9ba88b14dd492eae6b7ec023369d1e | 1 | short_answer | The mean of five numbers is $5$. Four of the numbers are $3, 4, 6$ and $10$. What is the fifth number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 42a62ad1ebd04b199cb34ac6b189a7bb | 1 | short_answer | Akon goes to the bookstore every $$4$$ days. Ben goes to the bookstore every $$7$$ days. Cris goes to the bookstore every $$8$$ days. They met each other today at the bookstore. What is the least number of days it will take all three of them to meet again at the bookstore?~\uline{~~~~~~~~~~}~days | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | cf4b67b2b09544679e877f2476cc1898 | 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 | 3602d25562874d41ab24c4341b12f630 | 1 | short_answer | Write $10$ tens, $35$ tenths and $8$ hundredths in decimal. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 711c6d212b6b410f988c3dbe25973b9f | 1 | short_answer | In the decimal part of $$0.\dot{8}35\dot{4}$$, what is the sum of the first $84$ digits? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 9aaa074a8d0943d59386b629100a1142 | 1 | short_answer | Eddie and his friends went jogging. Eddie ran $15$ km, Jenny ran $10$ km, and Jason ran $8$ km. How far did they run on average? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction",
"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 | 5c06e51a661b48fe8fa86f66e6eee9fa | 1 | short_answer | Work out $56 \times 23$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | b7bc6562b2cd42848b4c261eea8d443b | 2 | short_answer | There is a chime clock, each time it strikes, the sound lasts $$3$$ seconds. If it strikes $$6$$ times, it takes $$43$$ seconds from the first strike to the end of the last strike. Now how long does it take from the first strike to the end of the last strike if it strikes for $$12$$ times? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | e3e88b3c7611487d98b4ad69c6e41428 | 1 | short_answer | A meal for $$6$$ people cost £$$104.10$$. If each person paid the same amount, how much did each pay? £~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 3ba3be708b874b10bc32437342966dfb | 3 | short_answer | How many different ways are there to divide $20$ pens to $6$ kids, to make sure each of them gets at least one pen? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | a6ad322655a94a94b6a34e6b8951731a | 1 | short_answer | Work out $$53 \times 58$$ | [
"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 | 91978558dacc4505ac4e35d145f8108b | 1 | short_answer | A group of students are lining up after recess in an $$m\times m$$ square array, such that $$5$$ students are left out if the square array is as large as possible. If $$18$$ more students join the group, they will create a perfect $$n\times n$$ square array with no one left out. How many students were there originally? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | 0786a0cfe2bd43a9ac1c176d78e73a19 | 2 | short_answer | Six people can build a bridge in $15$ hours. How many people are needed to build the bridge in $2$ hours? (Assume that all people build at the same rate) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | 02858fb0c1d7495998f805b27ff5ac13 | 1 | short_answer | James takes $$30$$ minutes to finish a $$6$$-question math quiz. How many hours does James need to take $$4$$ quizzes in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | ec04407fbdb64de19ace6733c3919a43 | 1 | short_answer | How many three digit numbers contain at least one zeros? | [
"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 | 86f2b7935f1d47b099995c9ad98cd1d0 | 0 | short_answer | What is the kinetic energy of a ball (mass = 0.10 kg) moving with a speed of 30 m/s? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy->Josephus Problem"
] |
2023-07-07T00:00:00 | bb26e8a364284f6d9f8d709ca1f345a8 | 1 | short_answer | Find a whole number between $100$ and $200$ that has the following properties. When the number is divided by $3$, the remainder is $1$. When the number is divided by $4$, the remainder is $1$. When the number is divided by $5$, the remainder is $1$. When the number is divided by $7$, the remainder is $2$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 612916c7c6464d37b5bdb4a7f7365e62 | 1 | short_answer | Ali has $45$ red marbles and $4$ times as many blue marbles as red marbles. How many marbles does he have in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"
] |
2023-07-07T00:00:00 | 4398b5072c214118a4d7e606b9c7f7dd | 1 | short_answer | The numbers below follow the arithmetic sequence, what is the $$7$$\textsuperscript{th} number? $$58$$、$$51$$、$$44$$、$$37$$、$$30$$、$$\cdots$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The General Term of an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 1efc8331490f402c8a2dc98af0eb69e8 | 1 | short_answer | Pip thinks of a three-digit number. When the number is divided by $$5$$, the remainder is $$2$$. When the number is divided by $$6$$, the remainder is $$2$$. When the number is divided by $$7$$, the remainder is $$2$$. It is less than $$300$$. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | e8ce7a71a9c94b3d8ba599db217353fb | 1 | short_answer | Ahmad is forming the smallest $$4$$-digit number using the clues below. ．$$$$All the digits are different. ．$$$$The digit in the ones place is the greatest odd number. ．$$$$The digits in the hundreds place and the tens place add up to $$13$$. What is the number? | [
"Overseas In-curriculum->Knowledge Point->Fun Problems in Math->Reasoning",
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"
] |
2023-07-07T00:00:00 | 163aa773f4d845c8a2f2ed208a8950fb | 0 | short_answer | Jerry and Kevin drive towards each other simultaneously from two places apart from $225$ miles. The speed of Kevin is $1.5$ times the speed of Jerry. How far does Jerry have driven when they meet? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 57bf99419fd84ddf891e49e75324f73f | 1 | short_answer | The length of a ribbon is $$99 {cm}$$ long. Teacher Wiya cut it $$8$$ times to get pieces of ribbons of equal length. How long is each piece of ribbon? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 2b3f02a0fa7248d58cf401ab102a597d | 1 | short_answer | Gill is now 27 and has moved into a new flat. She has ten pictures to hang in a horizontal row on a wall which is 4800 mm wide. The pictures are identical in size and are 210 mm wide. Gill hangs the first two pictures so that one is on the extreme left of the wall and one is on the extreme right of the wall. She wants to hang the remaining eight pictures so that all ten pictures are equally spaced. How far should Gill place the centre of the third picture from the left from a vertical line down the centre of the wall? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 8164105a2885459cbe6f0149d5f46883 | 1 | short_answer | A ball is dropped and bounces up to a height that is $$75 \%$$ of the height from which it was dropped. It then bounces again to a height that is $$75 \%$$ of the previous height and so on. How many bounces does it make before it bounces to a height that is less than $$25 \%$$ of the original height? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 46cd8353df274c078e2fd68b250e0da1 | 1 | short_answer | Find the value of $$5+8+11+14+17+20$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 00f1d5cbd249489fa41dae6e52599fbe | 2 | short_answer | Find $x$． $2x+3x+2=30+6x-8x$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | b909d93696cf47d0b8ed0c83e74aa63a | 1 | short_answer | Doris is $$10$$ years old. She asked her uncle about his age. Her uncle replied, "When you reach my age, I will be $$40$$ years old." How old is her uncle? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | ca1376e41d4341c39abc294ee9b4d9bc | 1 | short_answer | Ellie pays £$$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$$ apple? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | 14006e4edc6c498b925dff66addea986 | 1 | short_answer | $597 \times 63$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 0483752c6a204f15aacda3ff94327d0f | 1 | short_answer | Dylan took the money he invested in a saving account for a year and got an interest of $$225$$ dollars. If the annual interest rate is $$2.25 \%$$, how much money did Dylan invested in the account? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 622e2b8da7ee4f1fb4f317c991b75767 | 1 | short_answer | Amanda has $4$ times as many stickers as Belinda. Lisa has $11$ less stickers than Amanda. If the $3$ girls have $43$ stickers in total, how many stickers does Lisa have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 501cf0e0bdee491db50baa99ff69b1b7 | 1 | short_answer | Timothy is trying to solve a riddle set by his friend. \hspace{0pt} After thinking for some time, he decided that the answer must be "$7$". His reasoning is as follow: $5$ is smaller than $8$, so regrouping must have taken place. In that case， $8$ +~\uline{~~~~~~~~~~}~= $15$. The answer must be $7$. Is Timothy\textquotesingle s answer correct? If not, what do you think is the correct answer? Show your working! | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)"
] |
2023-07-07T00:00:00 | 798223ee8f80484e91a8451484c51727 | 1 | short_answer | How many numbers are there between 5 and 20? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 88e0c7d77835428bbe187450a89fd57e | 1 | short_answer | Calculate: $1348$ - $234$ - $76$ + $2234$ - $48$ - $24$ =~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | ce620993d78944209d67e832a4f6c350 | 1 | short_answer | Jerry had some money. After spending $$ $200$$ on a watch and $$\frac{2}{7}$$ of his remaining money on a shirt, he had $$\frac{1}{3}$$ of the original amount of money left. How much money did he have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 91c7b4be08964d77b4b67e46cd1f734b | 0 | short_answer | $7$ students are standing side by side in a line to take a photo. If Tom and Harry must stand together and Ronda must stand at the furthest right, how many different arrangements are there? | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Dotted Line Arrangement"
] |
2023-07-07T00:00:00 | cac726123b6048d88b1d9136486d8aec | 2 | short_answer | You invest $5,000$ dollars in an investment that pays $5 \%$ interest compounded yearly for the first three years, and then $8 \%$ interest compounded yearly for the last two years. How much will you get after five years? ($1.05^{3} \approx 1.15763$ and $1.08^{2} \approx1.1664$, round the result to the nearest tenth) | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 2d575e9d3dcb4bb3a35bda8638540b40 | 1 | short_answer | The price of a car is $ $125 000$ when rounded off to the nearest $ $100$. Ryna thinks that the lowest possible price of the car (to the nearest dollar) is $ $125 001$. Is she correct?~\uline{~~~~~~~~~~}~ If not, what should the lowest possible price be?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"
] |
2023-07-07T00:00:00 | ccc1e15016544ef18eb8d6fbfa342f6b | 2 | short_answer | A car travels from city P to city Q. If the speed of the car is increased by $20 \%$, it will reach its destination $1$ hour earlier. If the car travels the first $200\rm km$ at its usual speed and then increases its speed by $25 \%$, it will reach the destination $12$ minutes earlier. Find the distance between city P to city Q. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | cc5debb2fb484837bd9e20117b66253d | 2 | short_answer | The full score of each common test is $$100$$ marks. Paul has taken $$4$$ common tests and his average score of these $$4$$ tests is $$89$$ marks. If he wants his average score to reach $$95$$ marks or above, at least how many more tests should he take? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 01ebc2d721814d4db11a4f6271fd146a | 1 | short_answer | At Think Olympics, William completes a $$1000-$$metre race. He runs the first $$540$$ metres at a speed of $$9$$ metres per second, the middle $$300$$ metres at a speed of $$6$$ metres per second, and in the final sprint stage, William runs at a speed of $$10$$ metres per second. How long did William take to finish the entire race (in seconds)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | b33352ddaff94fdf9bca43b11dd51548 | 1 | short_answer | Doris is $$10$$ years old. She asked her uncle about his age. Her uncle replied, "When you reach my age, I will be $$40$$ years old." How old is her uncle? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | 46688ef5acdc4df49717f3ab80f36c17 | 1 | short_answer | Think School is holding a party. Each of the $18$ classes prepares a performance. Lia and Liz are good at singing, so each of them prepares an extra performance. How many performances are there in toal? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | 1f3d5b49f91c4771addbb17609528cde | 1 | short_answer | A $250$-m long train is moving at a speed of $$30$$ m/s. How long does it take the train to entirely cross a $260$-m long bridge? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 56b1265849bc4172b9283606e061da30 | 1 | short_answer | In a farm, the number of sheep were $\frac{5}{7}$ the number of cows. $21$ new sheep were brought into the farm while $7$ cows were removed. At the end, the number of cows became $\frac{3}{4}$ the number of sheep. Determine the number of sheep at the beginning. | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | c476669828e74aee81ba796c38aab4b8 | 1 | short_answer | Chloe has collected 176 stamps. ~Polly has collected four times as many stamps as Chloe. ~How many more stamps does Polly collect than Chloe? (Please show the process) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | a549cf3800294c169634bf21d56759b6 | 1 | short_answer | Two similar books and three identical pencil boxes cost ＄$$42$$.Two similar books and six identical pencil boxes cost ＄$$60$$. How much does each pencil box cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 42047954e98a4b1098845e2ff791180b | 0 | short_answer | \textbf{$$n$$}~is the number of minutes between $$08:30$$ and $$09:25$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 98fa02662c3f496dbfbd82e145244c2d | 1 | short_answer | $$A$$\textquotesingle s efficiency is twice $$B$$\textquotesingle s and $$A$$ can complete a job in $$6$$ days. If they work together, in how many days can they complete the whole job? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | dc7dede26ff941569676a4c0dc370ff2 | 1 | short_answer | The sum of Geoff\textquotesingle s age and his sister\textquotesingle s age is $$22$$. When will the sum of their ages be $$30$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | 4f9fc9c45bc74b13945e3b6e4a79c3ef | 1 | short_answer | Kevin\textquotesingle s monthly salary is $7.65$ bitcoin. Kevin owns Robin $2.5$ bitcoins. How many months does Roger need to work to pay his debt? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 672eac0e95a14d3f9ead29a67b3f22d2 | 1 | short_answer | Lingyu is buying some snacks in the supermarket. A packet of Mamee cost $$30$$¢ less than a packet of Haribo. A big packet of jelly cost $$6$$ times as a packet of Mamee. If a packet of Haribo cost $$50$$¢, what is the cost of a big packet of jelly? \uline{Please give your answer in dollar.~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | e804f82f48cb432f87a500257865625a | 0 | short_answer | Work out $$15.41+0.023$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | a69ea7bbe98046abb05ec657125e9e2a | 1 | short_answer | Anna, Belle, Cathy and Dawn shared some candies. Anna received $$\frac{3}{8}$$ of the candies while Belle received $$\frac{1}{4}$$ of the candies. Anna and Belle received $$90$$ more candies than Cathy and Dawn. How many candies did the four of them have altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | dc703045b2df402dbdfe5981fc60d341 | 0 | short_answer | Find the value of □: $\frac{{18}}{{36}} = \frac{□}{32} $，□=~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"
] |
2023-07-07T00:00:00 | 365d1f5c27234c98810406b6e4bcded0 | 1 | short_answer | Some friends are removing plants. Ethan first removes $1$ less than half of the plants, then Valerie removes $3$ less than half of the remaining bricks. Finally, Joel removes $2$ less than half of the remaining bricks. If there are still $$4$$ bricks left, how many were there at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | b43e05329caa4f1a984bd70f841acdce | 1 | short_answer | $$37-3(x+7)=5x$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 9d5c3d4446b7434aaaa6846a334f2ea1 | 1 | short_answer | Mr Tan made some fish balls. He sold $$\frac34$$ of the fish balls in the morning and $$\frac13$$ of the remaining fish balls in the afternoon. He made another $$506$$ fish balls and had twice the number of fish balls he made at first. How many fish balls did he make at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 37ba30f7b64a46d380cae5ff5558dd59 | 3 | short_answer | \textbf{Repeated Identity + Fraction as a set} Sally had some cupcakes. She had 72 more chocolate cupcakes than vanilla cupcakes. She had 36 lesser blueberry cupcakes than vanilla cupcakes. After selling $\dfrac{1}{6}$~of the chocolate cupcakes, $\dfrac{2}{3}$~of the vanilla cupcakes and $\dfrac{7}{9}$~of the blueberry cupcakes. Sally had 427 cupcakes left altogether. How many chocolate cupcakes did Sally sell? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 810b29e808374893b25143dad8014c66 | 0 | short_answer | Work out $$0.23\times200$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 11ce6a9abf8e477b9581c4ee7316be07 | 1 | short_answer | Chris has $$12$$ story books, Beck has $$8$$ story books more than Chris. In order to make them to be having the same number of story books, how many story books Beck has to give Chris? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 2214d6869bd045e2afc03dba93bcda5e | 1 | short_answer | Calculate: $$\frac{5}{8}\times92+7\times0.625+62.5 \%$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 1e328cd92fa04425b72e9c28f440ba39 | 1 | short_answer | There are $14$ boys in the class. The ratio of the numbers of boys to girls is $2:7$. How many students are there in the class? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | a0d429ec9b9241fbafa343fefd207ff9 | 1 | short_answer | A marble cake costs $$$2$$ more than a strawberry cake. A cheese cake costs thrice as much as a marble cake. A strawberry cake is $$$3$$. What is the price of $$2$$ cheese cakes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 1c415c8f98ba481e86c80c0113bb20a1 | 1 | short_answer | $$\bigcirc \times 3 + 17 = 6\times6 + 2 $$. What is the value of $$\bigcirc$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 70ed86d3effe4cc5bd724d34f5219fb8 | 1 | short_answer | Dividing a certain number by $$3$$ leaves a remainder of $$1$$, dividing it by $$5$$ leaves a remainder of $$3$$, dividing it by $$7$$ leaves a remainder of $$5$$. Given that the number is between $$400$$ and $$500$$, what is its possible value? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem"
] |
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