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timestamp[s] | queId
stringlengths 32
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stringclasses 5
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value | problem
stringlengths 6
2.89k
| knowledge_point_routes
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | a2090f2b75c044cb932b529d4f6c76ed | 1 | short_answer | Jenny walks past $$40$$ electricity poles along the straight road from her school to her house. The distance between every $$2$$ poles is $$3\textasciitilde m$$. If there are no poles right outside her school and her house, find the distance from her school to her house. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting Trees only on One Side (straight line type)"
] |
2023-07-07T00:00:00 | 61c8e4b651014f6abc20d2bf4138cdcb | 1 | short_answer | Ronald was asked to find the value of $p$, given that $245p$ is a cube number. Determine the value of $p$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | 25a47ea57b4647599987b84251fd1281 | 2 | short_answer | In the following, all the different letters stand for different digits. What is the value of $S+A+S+M+O$? $ESSE + 2018 = SASMO$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 9be9f04df4aa4fad90e2c592b50495cd | 0 | short_answer | Change $$736$$ $$\text{cm}$$ into metres. ~\uline{~~~~~~~~~~}~$$\text{m}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | 77fd9afe874840219f53431a52a3a55f | 1 | short_answer | Calculate: $$64-62+60-58+56-54+52-50+48-46=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | 22c136c471c246b1b3392b99cb5d2dfb | 1 | short_answer | The TV factory produced $36000$ TVs this year. Last year it produced more than~$\dfrac{1}{4}$ this year. How many TVs did the factory produce last year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 47dff524f26242ad9fa5ff839557debe | 1 | short_answer | There are $$48$$ students in Class $7$, Grade $6$, who come to school today. One is on sick leave and one is on personal leave. What is the attendance rate of this class today? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | c49f4ad1d6e74285a471cae0a0494b8c | 0 | short_answer | Find the value of □: $\frac{{5}}{{15}} = \frac{8}{□} $，□=~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"
] |
2023-07-07T00:00:00 | 4e4e510238974caa86256923e2e038c2 | 1 | short_answer | The first term of a sequence is $$22$$, the second is $$26$$ and the third is $$30$$, and so on. How many terms are there if the last term is 98? | [
"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 | 08f15646d5be4ac6a59a45c45853c225 | 2 | short_answer | $$\text{Find the sum} \frac{1}{2}+\left( \frac{1}{3}+\frac{2}{3} \right)+\left( \frac{1}{4}+\frac{2}{4}+\frac{3}{4} \right)+\left( \frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5} \right)+\left( \frac{1}{2017}+\frac{2}{2017}+\cdots +\frac{2015}{2017}+\frac{2016}{2017} \right)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Fast Calculation in Fractions"
] |
2023-07-07T00:00:00 | 8a10d5adbcea4531970b60dfa42fd819 | 1 | short_answer | Calculate $$30 \%$$ of £$$270$$. Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | b4e4441c3f0440be8e09da643628b41d | 1 | short_answer | Band members are standing in an array before their performance. Tim stands the $$4$$\textsuperscript{th}~in line counting from front to back, and the $$3$$\textsuperscript{rd} counting from back to front. He is also the $$1$$\textsuperscript{st} counting from left to right, and the $$4$$\textsuperscript{th} counting from right to left. How many band members in total are in this array? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number of People in a Rectangular Array"
] |
2023-07-07T00:00:00 | f784396939674fa89af27d5359f38965 | 1 | short_answer | My fruit basket contains apples and oranges. The ratio of apples to oranges in the basket is $$3 : 8$$. When I remove one apple the ratio changes to $$1 : 3$$. How many oranges are in the basket? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Solving Ratio Problems with Proportion Equations"
] |
2023-07-07T00:00:00 | 43672fb4dbf24b02bb90359769d8f568 | 1 | short_answer | Which of the following numbers is closest to $100$? $199 99.9 100.2 100.029 98.999$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Decimals"
] |
2023-07-07T00:00:00 | 488c8f884bea4ca59a65a31e0e04aa9d | 1 | short_answer | If Michael saves £$2.40$ a day, what is the least number of weeks needed to save £$150$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with Two Variables"
] |
2023-07-07T00:00:00 | 1f546f2cbdd947219d887b2aa75e71f6 | 2 | short_answer | Calculate: $25\times 4\times 27$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | bb3a1671c17647d78e01b43d8630223f | 1 | short_answer | When $$2019$$ is added to the sum of $$14$$ consecutive natural numbers starting with $$1$$ ($$1$$ to $$14$$), the result is exactly the same as the sum of another eight consecutive natural numbers. Among these eight consecutive natural numbers, the smallest number is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Combinatorics->Math Game"
] |
2023-07-07T00:00:00 | 410cabc838ed44f48fb660b0a2c3782d | 1 | short_answer | $$9+88=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | a9ec2d33adf8474197070ba71da55c04 | 1 | short_answer | Work out $$6\frac{1}{2}\div \frac{1}{4}$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 02a4bfa1cce24886a09dd6a0ebf0cfc6 | 1 | short_answer | The weight of $$2$$ rabbits is equal to $$6$$ chickens. And the weight of $$3$$ kangaroos is equal to $$4$$ rabbits. One kangaroo weighs the same as~\uline{~~~~~~~~~~}~chickens. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution"
] |
2023-07-07T00:00:00 | 12396eda43e54937ba9c6bd015a43e54 | 1 | short_answer | Calculate: $$2+4+6+8+10+\cdots +96+98+100$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | a666c2ea1fef4b64a986908460e91640 | 1 | short_answer | In how many ways can the letters in the word: STATISTICS be arranged? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 6fda0ead943b49128df85bf6b5849e36 | 1 | short_answer | Jason is on a uninhabited island, and he wants to escape from the island which must use rope and wood to make a wooden boat and prepare food. It takes $3$ days to cut wood, $1$ day to weave wet grass into rope, $5$ days to dry the wood, $1$ day to mow the grass, $1$ day to prepare food, $1$ day to soak cut grass, and $1$ day to choose wood. At least how long will it take for Jason to get ready? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 15b65d4a82f249f0b83939ac418a1d25 | 1 | short_answer | Calculate $$3428 \times 836 + 3428 \times 162 + 3428 \times 2$$. | [
"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 | 28bfcc3c31154a39a652d06135594627 | 1 | short_answer | How many ￡$$5$$ notes are needed to make $$1000$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money"
] |
2023-07-07T00:00:00 | a1ec4f1847ce4822947204953d74de5b | 1 | short_answer | Work out $342 + 576$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 48ff1e7865214bdc975558caeae2d50b | 1 | short_answer | Ashley is $$10$$ years old. Three years ago, she was $$2$$ years older than her brother. How old is Ashley\textquotesingle s brother? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | 7d88ede971b64fd9827de58a37434916 | 0 | short_answer | Find the number $$Y$$ such that the following statement is true: $$9\times5 + 15\times5 = Y~ \times5$$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | b2264aba67854c45bb17ca0a45c40d21 | 1 | short_answer | Snow White and some dwarves are lining up to play games. Snow White is standing in the exact middle of the line. She is also the $$7$$\textsuperscript{th} in line counting from front to back. How many dwarves in total are playing with Snow White? | [
"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 | 03c5885919f34314bb4b44bfe248420c | 1 | short_answer | A math competition had $100$ participants. To guarantee that the school with the most participants had at least $4$ participants, how many schools attended this competition at most? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 06dde9f26aa64d8c91f787c1c4d71389 | 2 | short_answer | Calculate: $$7+10+13+\cdots \cdots+49+52$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 65a3698a450943d3ab1dbc4023a956a8 | 2 | short_answer | $$[x]$$ is defined as the largest integer less than or equal to $$x$$, and $$ {x }=x-[x]$$. For example, $$[4.3]=4$$, $$ {4.3 }=4.3-[4.3]=0.3$$. $$[5]=5$$, $$ {5 }=5-[5]=0$$. Find the value of $$\left { \frac{2018+1}{5} \right } + \left { \frac{2018+2}{5} \right } + \left { \frac{2018+3}{5} \right } + \cdots \cdots + \left { \frac{2018+2017}{5} \right } + \left { \frac{2018+2018}{5} \right }$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly"
] |
2023-07-07T00:00:00 | 33956c5d5c43463196c5619abf1d36ca | 2 | short_answer | A four digit number\textquotesingle s product with $$6 $$ is a complete cubic number, and its quotient by $$6 $$ is a complete square number. This number is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | 125fbe1405c64507b8d833c4d1798f63 | 0 | short_answer | Two trains travel towards each other from two different stations at the same time. The faster train travels at $48$ km per hour, and the slower one travels at $36$ km per hour. When they pass through each other, the faster train travels $70$ km more than the slower train. How far are the two stations? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | ace1245119464470b5cdb95b2c3595e4 | 1 | short_answer | Work out~$3\dfrac{5}{9}+6\dfrac{4}{9}$ Give your answer in its simplest form. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Addition and Subtraction of Fractions"
] |
2023-07-07T00:00:00 | 8587852257524191ae8a0cf973cb3197 | 1 | short_answer | Band members are standing in a rectangular block for their performance. Tim stands $$4$$\textsuperscript{th}~in line counting from front to back, and $$3$$\textsuperscript{rd} counting from back to front. He is also the $$4$$\textsuperscript{th~}counting from left to right, and the $$7$$\textsuperscript{th} counting from right to left. How many band members in total are in this array? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number of People in a Rectangular Array"
] |
2023-07-07T00:00:00 | 528f30d146454d9fbd940a06520bb850 | 1 | short_answer | What is the smallest number that $$2$$, $$3$$, and $$8$$ all divide into? | [
"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 | e56936fac25c4b8e9ff669e07797ab6c | 1 | short_answer | A positive integer has remainder $3$ when it is divided by $4$, remainder $1$ when divided by $7$ and remainder $5$ when divided by $9$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 64d0d52e2bf64e88b638cf7cc846261f | 2 | short_answer | Farmer Lily has more tonnes of wheat than farmer Gigi. If Lily gave Gigi $$36$$ tonnes of wheat, Lily would still have $$26$$ tonnes more wheat than Gigi has. Given that the weight of Lily\textquotesingle s wheat is $$8$$ times that of Gigi, how many tonnes of wheat does Lily have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 9d7ec4d7b1464bba9277da3aadbff391 | 2 | short_answer | SASMO 2015 P2 Q19 Zoey had a 50cent coin, a 20-cent coin, a 10-cent coin, and a 5-cent coin. After she lost one coin, she found that she had twice as much as her brother. What coin did she lose? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"
] |
2023-07-07T00:00:00 | 3a5a01fd9a9844408f2c7062b63270b0 | 1 | short_answer | Calculate: $$48\div 1\frac{1}{3}\div \frac{6}{7}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | e45decf2b87f4c4ba7f9717cc4a6fb05 | 2 | short_answer | A class goes boating. If one boat is added, each boat will hold exactly 6 people. If one boat is subtracted, each boat will hold exactly 9 people. How many students are there？（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 39977f0e34da4e1489169692316de3da | 2 | short_answer | Two distinct numbers from $$1$$ to $$100$$ inclusive will form a pair if the sum of these two is a multiple of $$5$$. How many different pairs are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Questions Involving Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 718f81285ce94030bea31c3cbb679ab7 | 1 | short_answer | Natalia wants to share some chocolates with her friends. If she gives each friend $18$ pieces of chocolate, then there will be $41$ chocolates in excess. If she gives each friend $23$ pieces of chocolate, she will be short of $34$ pieces. If she gives each friend $20$ pieces of chocolate, how many pieces of chocolate will she be left with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | e5c1b794ac8648ec850e93b55dab48de | 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 | d09cf908f3aa4485b244c8b396d7753b | 1 | short_answer | Tom\textquotesingle s number has four digits in increasing order. The tens digit is the sum of the hundreds digit and the thousands digit. The ones digit is the sum of the other three. The sum of all four digits is $$16$$. Find the \uline{ones digit} in Tom\textquotesingle s number. | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning",
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems->Replacement of Equivalent Substitution"
] |
2023-07-07T00:00:00 | 2fc75a01535c4ae98dffb54b5bcd459f | 1 | short_answer | How many different two-digit numbers can be formed using the numbers $$0$$，$$2$$，$$4$$？ | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | 0aa90dabe6d64f0285ceda7e7598b164 | 1 | short_answer | Calculate: $$599999+59999+5999+599+59+5=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Grouping in Fast Addition and Subtraction of Whole Numbers"
] |
2023-07-07T00:00:00 | 5d4699cf5231465b949cc5c32e601170 | 1 | short_answer | $371+\left( 24+19\right)\times3=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 3dd0e028b2e0476fb27782b124909bdf | 1 | short_answer | Work out~$(0.007)^{2}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power"
] |
2023-07-07T00:00:00 | 4d8046b8a53d442a9ac1c228e0ce0ab7 | 1 | short_answer | What is the greatest $$4-$$digit number multiple of $4$ that can be formed by using the digits: $$2$$，$$4$$，$$6$$ and $$8$$, where each digit can only be used once? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 01a32f2cf14e462c9b61d1fcd77574f4 | 1 | short_answer | It takes Amy $$3$$ hours to walk uphill at a speed of $$5$$ miles per hour, but only $$2$$ hours to walk downhill at a speed of $$10$$ miles per hour. What is her average speed, in miles per hour, 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 | f0bee63f873d497b96407169a7e2db47 | 1 | short_answer | The electric rate of the apartment that Susan lives in is $$2$$ dollars per kolowatt-hour for the first $5$ kolowatt-hour with additional usage charged at a rate of $$1$$ dollars for each additional kolowatt-hour. There is also a fixed service fee of $$3$$ dollars. How many kolowatt-hour of electric can she use for $$63$$ dollars? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 58650bb89c1441479147f7d4f580c378 | 1 | short_answer | What number goes in the box? $$\frac{\square}{7}$$ of $$63=54$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 11e0382a85804608b378e0d0257999a1 | 1 | short_answer | You bought a bike for $1,000$ dollars. The bike depreciates at the rate of $10 \%$ per year. Find the value of your bike after $5$ years. ($0.9^{5} \approx 0.59$, $1.1^{5} \approx 1.61$, round the result to the nearest tenth) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | cc135b9291974bc8a3f809cc912e685e | 4 | short_answer | Students in Grade 6 lined up for sports. If there are 3 students in a row, 2 students remain. If there are 7 students in a row, 6 students remain. If there are 11 students in a row, 10 students remain. What is the minimum number of students in Grade 6?（⭐⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 7134e7994980408d978447b2fb2d3866 | 1 | short_answer | If $$a=1$$, $$b=2$$, and $$c=3$$, then $$\overline{abc}=123$$. Given that $$A=\overline{xy}$$ and $$B=\overline{4xy}$$, if $$B$$ is $$10$$ more than seven times $$A$$, what is the value of $$A$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | b59168ae6b464ccaa42cf8065c6eb4ae | 1 | short_answer | How many integer values of $$n$$ satisfy the condition such that $$4320\times {{\left( \frac{3}{2} \right)}^{n}}$$ is an integer? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization"
] |
2023-07-07T00:00:00 | de23539233a540d8a78444b87207ab4f | 3 | short_answer | $$A$$ had $$9$$ big boxes of cookies. Each big box had $$660$$ cookies. $$A$$ packed the cookies into small boxes. Each small box could contain $$600$$ cookies. How many small boxes were needed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | a6fe92eccb9540d7bace6c4b67cdf3d2 | 1 | short_answer | Find the difference between $-19$ and $-8$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 0a85a3267e0d4f238d507e043b936277 | 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->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Extreme Value in Inclusion-Exclusion for Multi-sets"
] |
2023-07-07T00:00:00 | 18183ed9b54a424c9c391e8cb804cfc6 | 1 | short_answer | $20$ kilograms of punch that contains $$35 \%$$ fruit juice is mixed with $$30$$ kilogram of punch that contains $$60 \%$$ fruit juice. Find the percent concentration of the new mixture. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 048da12bce8148d3a40134a2b3b09a86 | 1 | short_answer | There are two warehouses, $A$ and $B$. Warehouse $A$ originally had $$50$$ tons of grain, and later shipped in $$12$$ tons, while warehouse $B$ shipped out $$16$$ tons at the same time. Now the grain in warehouse $A$ is $$2$$ times that of warehouse $B$. How many tons of grain are originally in warehouse $B$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | f17963c6412147f8a3c618b9ffa4db12 | 1 | short_answer | Find the missing prime number $$29$$, $$31$$, ? ,~ $$41$$, $$43$$ | [
"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 | f0b18311921842e38deebe821472b76e | 1 | short_answer | A baker made $$76$$ cookies and is now packing them into boxes. If each box can only contain $$6$$ cookies, at least how many boxes are needed to hold all the cookies？ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 719dc7a052524541afb0f37592e3b324 | 1 | short_answer | In how many ways can the letters in the word~\textquotesingle COLLEGE\textquotesingle{} be arranged? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 4dbb6a3e89004483bd9aad06124dacee | 1 | short_answer | Calculate $50 \%$ of $20 \%$ of $6000$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 21a6577206bb4af599c66a03599918a9 | 1 | short_answer | $10000$ years ago, Owen the fisher traded $3$ fishes for $1$ rabbit from Oscar the hunter. Then, Oscar traded $2$ rabbits for $3$ packs of wheat from Dennis the farmer. How many fishes should Owen give Dennis for a pack of wheat? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios"
] |
2023-07-07T00:00:00 | 2f137b3f948e48c59657d647ceea7f64 | 1 | short_answer | Some people arrive at a conference room for a meeting. If $3$ people are sitting on one bench, there will be $7$ people with no seat; if $7$ people are sitting on one bench, there will be $3$ extra benches left. There are~\uline{~~~~~~~~~~}~people in total in the conference room. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Distribution Conversion Problems"
] |
2023-07-07T00:00:00 | 5b64a9ba57014e80a0eadd05b75a22b7 | 1 | short_answer | Hiring a Sports Hall costs a £$$30$$ booking fee and then £$$10$$ per hour. Chris hires it and pays £$$120$$. How many hours did Chris hire the hall for? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division"
] |
2023-07-07T00:00:00 | 97138569fa3945528991305d98ea59a6 | 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. If Alison has between 400 and 500 pencils, then how many pencils does he have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 89ba0ac50c0947d59e7ffc2bb24819cb | 1 | short_answer | How many different ways are there to split $$9$$ into $$3$$ numbers (including $$0$$)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 0b6a5290a25f41a7a77aba2e0b7f5322 | 1 | short_answer | Ginnie had $$4$$ times as many stickers as Lyn. Dell had twice as many stickers as Ginnie. If Dell had $$32$$ stickers, how many stickers did Ginnie and Lyn have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 283f1a2c7c5141a6b01dc50aa7df541c | 1 | short_answer | What is difference between 11 and 21? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 2d05e2c2cd5947adb306583d6211d765 | 1 | short_answer | £$21.50$ is shared in the ratio $2:3$. Write down the bigger share. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | f5c4e560546f4d75baff7ccc4901ab4f | 1 | short_answer | When $\frac{5}{6}$ of a bottle was filled with apple juice, its total mass was $4.6\text{kg}$. When $\frac{2}{3}$ of the bottle was filled with apple juice, its total mass was $4.45\text{kg}$. What was the mass of the empty bottle (in grams)?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 731fa504bf944a3997349eeb999781ca | 1 | short_answer | Lisa thinks of her favourite number. She multiplies her favourite number by $$2$$, subtracts $$3$$ and gets $$19$$. What is Lisa's favourite number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 209f59bf096047a6b42adec3650f0b2f | 1 | short_answer | How many $$3$$-digit odd numbers are there such that the sum of the digits is $$5$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 3243a4ef0c884def972ed158010ea3b4 | 1 | short_answer | Ivy uses $1101$ digits to number all the pages in her workbook. The pages are numbered from $1$ consecutively. How many pages are there in Ivy\textquotesingle s workbook? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | c0f11f95efb245dcb3a0840d374c7f26 | 1 | short_answer | Calculate | [
"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 | 6cf21aa3ccf54551ba52bdfff6859b56 | 1 | short_answer | There are $$235$$ pupils in Room $$A$$ and $$567$$ pupils in Room $$B$$. $$A$$ teacher transferred some pupils from Room $$B$$ to Room $$A$$ so that both rooms have the same number of pupils. How many pupils were there in each room after the transfer? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | e2b7c0b669b44057aa36a3500e3c6605 | 1 | short_answer | $20-19+18-17+\cdots+4-3+2-1=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | a97a50db173b4947a7cbbd35408c0568 | 0 | short_answer | In the sequence $1$, $3$, $7$, $13$, $21$, \ldots{} what is the largest two digit number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Geometric Sequences"
] |
2023-07-07T00:00:00 | ae03ca6fe3fa45aebbb01c97d1cb54b7 | 1 | short_answer | Adam, Ben and Carl are weighing themselves. Together, Adam and Ben weigh $$102\text{kg}$$ Ben and Carl weigh $$97\text{kg}$$ Adam and Carl weigh $$93\text{kg}$$ What is their total weight in $$\text{kg}$$? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 403660592ec0470dbd38b7b878ae0a19 | 1 | short_answer | A book costs £$$3.40$$ and a magazine costs £$$1.60$$. Clara spends exactly £$$23$$ on books and magazines. How many magazines does she buy? | [
"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 | e9095a6ced1247bda89ad65c13639eb7 | 1 | short_answer | $$Calculate.$$ $$77.5\times 52 \%+5.2\times 2.25$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 3b935033a325415c8ec95174a48b4a4e | 1 | short_answer | Andy has $149$ notebooks. If he gives his sister $38$ notebooks, they will have the same number of notebooks. How many notebooks does his sister have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | ce60eab1409d4f9baf6240c550f9de18 | 1 | short_answer | Justin read $$64$$ more pages of a book than Crystal. Crystal read twice as many pages as Ashley, and Justin read $10$ times as many pages as Ashley. How many pages did they read in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 0fbbc6b96cb740ebbd61af7fbae24d80 | 1 | short_answer | Calculate:$1+2+3+\cdots+49+50$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 1b7cc025e9e347ce80741fb93834ea0c | 3 | short_answer | There is a planet in the universe that uses Base 3 notation. When Mr. Lv moved to this planet and changed his ID card, he had to change his age from Base 10 to Base 3 notation. Mr. Lv found that, as long as the original Base 10 age added a "0 " at the end, is the age in Base 3. How old is Mr. Lv? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 250872667abf4b0b871368e870726b7f | 2 | short_answer | At a florist, there was a total of $$3616$$ orchids, tulips and roses. The ratio of the number of orchids to the number of tulips was $$3:5$$.~ After $$40 \%$$ of the orchids, $$\frac{1}{5}$$ of the tulips and $$25 \%$$ of the roses were sold, there were $$2644$$ flowers left in the end. How many orchids were there in the florist at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 9b62350128b847c5b5201460ac1d06f0 | 1 | short_answer | $$\left( \frac{5}{8}+\frac{1}{17} \right)\times 8+\frac{9}{17}$$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 6e8c76be7aa54ee7b128dba952c8fee0 | 1 | short_answer | Two $$2$$-digit multiples of $$7$$ have a product of $$7007$$. What is their sum? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization"
] |
2023-07-07T00:00:00 | 0cc063c19a444034a295d8438baf0c4b | 2 | short_answer | There are $7$ people sitting around an eight-seater circular table. 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 | 507deaa25b1c45fcad9434c45d9ba929 | 1 | short_answer | Shaun wants to split $10$ identical pins into $$3$$ piles. How many ways can he do so? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | d156836fbd9444f5a5ba15bda04a829e | 0 | short_answer | The sum of two prime numbers is $55.$ What is the product of these two prime numbers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 6d336ec6da534a848cc3b89b64fee021 | 1 | short_answer | Calculate: $$379\times 0.00038+159\times 0.00621+3.79\times 0.121$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 1a9174d419fc4350b792c473f6c385d3 | 1 | short_answer | The cost of $$3$$ pieces of chocolate cake is equal to the cost of $$2$$ pieces of cheesecake. The cost of $$3$$ pieces of cheesecake is equal to the cost of $$5$$ cookies. If $$1$$ cookie costs $$ $9$$, how much does $$1$$ piece chocolate cake cost? $$ $$$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 9b198ae160ae44c2a23ed12656fc56ba | 1 | short_answer | $$2$$ identical basketballs and $$3$$ similar volleyballs cost£$$195$$. $$4$$ such basketballs and $$5$$ such volleyballs cost £$$355$$. What is the cost of each volleyball? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | ab73159fcaf54202a082d7e06f5b5b05 | 2 | short_answer | （AMC 2019 Question \#29） A seven-digit number is in the form $\overline{20AMC19}$, with all digits different. It is divisible by 9. What is the value of $A+M+C$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
Subsets and Splits