dataset_version
unknown
queId
stringlengths
32
32
difficulty
stringclasses
5 values
qtype
stringclasses
1 value
problem
stringlengths
6
2.89k
knowledge_point_routes
sequence
"2023-07-07T00:00:00"
7501b55360b14603a4f3cd0fec5e5c2e
1
short_answer
Calculate $$158\times 23$$.
[ "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"
2596b3b0a45a4d33bab961b1ab804010
1
short_answer
The number of positive integers less than $$2023$$ divisible by neither $$7$$ nor $$17$$ is~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules" ]
"2023-07-07T00:00:00"
39fc04a75d5b4b149928dc45f62d257c
1
short_answer
Gas cookers cost £$350$ each. If a school needs to buy $16$ of them, how much will they have to spend?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation" ]
"2023-07-07T00:00:00"
18b18182a46e40b88627f1ccea5b3d8e
1
short_answer
Calculators normally cost £$$6$$ and protractors normally cost $$30$$p. In a sale, calculators have been reduced by a quarter and protractors are half price. David bought $$8$$ calculators and $$20$$ protractors. How much did he have to pay? ANSWER~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
6aa8b0892ddb472f98ad315fc9309ec6
1
short_answer
A recipe for making tarts needs $$40\text{g}$$ of flour and $$80\text{ml}$$ of milk. If Tom only has $$25\text{g}$$ of flour then how much milk will he have to use?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio" ]
"2023-07-07T00:00:00"
b0936b75d5ce4b94ae9381888ed227ad
1
short_answer
Carys takes 5 sweets from a jar. There are 38 sweets left in the jar. How many sweets were in the jar to start with?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
a1e7310c3dd84d7a9231e38d0f9f7452
1
short_answer
A younger elephant is $18$ years old this year. The older elephant tells the younger elephant: ``when you grow up to my current age, I will be $62$ years old.'' Find the age of the older elephant this year.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems" ]
"2023-07-07T00:00:00"
cbb06928b2ac4d109928a77853509743
2
short_answer
The grass on a farm is growing at a constant rate. $$27$$ oxen can finish eating the grass on the farm in $$6$$ weeks. $$23$$ oxen can finish eating the grass on the farm in $$9$$ weeks. How many weeks it will take for $$21$$ oxen to finish eating the grass on the farm?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields->Basic Newton's Problem of Cows and Fields" ]
"2023-07-07T00:00:00"
3912f4432e58498cbda173e79f990a37
1
short_answer
Calculate the following fraction: $$\frac{1}{2015^{3}-2014 \times (2015^{2} + 2016)}$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Fast Calculation in Fractions" ]
"2023-07-07T00:00:00"
d32e56919f284c4db3acbe24232d6fd9
1
short_answer
Find two-thirds of $1.194$ tonnes. Give your answer in kilograms.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions" ]
"2023-07-07T00:00:00"
060047cfbee741bb986e84b4387b64bc
1
short_answer
Every Saturday, Ellen visits her friend in the town nearby. At $7 : 30$ a.m., Ellen leaves home and rides a bike to the train station at a speed of $10$ miles per hour. At $8:30$ a.m., Ellen arrives at the train station and gets on a train that travels at a speed of $50$ miles per hour. At $10:30$ a.m., Ellen arrives in the town. How many miles does Ellen travel in total every Saturday?
[ "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"
356c71d6a146447aa7e01a575a71da98
2
short_answer
Put five balls of the same size into three boxes $$A$$, $$B$$, and $$C$$. How many different ways are there in total to put the balls? Note: empty boxes are allowed.
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
3747f6795b484a8d933bdeff1799037e
1
short_answer
Work out~$(0.02)^{2}$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power" ]
"2023-07-07T00:00:00"
de37bee61aca42a6b5dabc0d16ba4df1
1
short_answer
Calculate $1440 \div24$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Fast Multiplication and Division of Whole Numbers" ]
"2023-07-07T00:00:00"
ff9e28ea21aa4addbaf6b47561b79b63
1
short_answer
($$2017$$ Catholic High School, Semestral Assessment $$1$$, Primary Three, Question \#$$40$$) There were $$112$$ marbles in a bag. There were $$25$$ more red marbles than blue marbles. There were $$32$$ more green marbles than red marbles. How many blue marbles were there?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference" ]
"2023-07-07T00:00:00"
51579396b1d94a949192647f00104857
1
short_answer
In how many different ways can the letters in the word \textquotesingle TEENAGE\textquotesingle{} be arranged?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
be8ef166256a4fb4a86c6d0fcd933a8b
1
short_answer
Lucas and his classmates stood in the rectangular array. Lucas was the $$3$$\textsuperscript{rd} counting from front to back, the $$2$$\textsuperscript{nd} counting from back to front, the $$4$$\textsuperscript{th} counting from left to right, and the $$3$$\textsuperscript{rd} counting from right to left. How many students were there in the rectangular 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"
b02ecddb14a14da0b461c2caa96532c3
3
short_answer
Ema had $$$360$$ less than Keng Wee. Ema spent~$\tfrac{1}{4}$~of her money and Keng Wee spent~$\tfrac{4}{7}$~of his money. In the end, Keng Wee and Ema had the same amount of money left. Find the amount of money Keng Wee had at first.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
216fe3f443544e68a0aed48da56449e1
1
short_answer
You paid $60$ dollars for a cup on sale for $25 \%$ off. What was the original price of the cup?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
"2023-07-07T00:00:00"
2d46f0af47944add838f9674e67c820b
0
short_answer
The sum of the digits of the number $$216$$ is $$9$$. What is the least number greater than $$216$$ whose sum of the digits is $$9$$?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration" ]
"2023-07-07T00:00:00"
d361ce8aec3d498eba6093a4def8859a
1
short_answer
Work out $284 + 69 - 271$
[ "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"
4527a361966a43bfb89e355298a7a037
1
short_answer
Write a number in each box to correctly complete the statements. $\frac{1}{4}$ of $36=$one-tenth of $\square$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions" ]
"2023-07-07T00:00:00"
d92a77c7952a48ab83c4fa481451ad5c
0
short_answer
Multiply $6.4$ by $2.7$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals" ]
"2023-07-07T00:00:00"
cefb89968d41422986f6e937e4276320
1
short_answer
Lucas is standing in a rectangular formation with his friends. Lucas was the $$3$$\textsuperscript{rd} counting from front to back, the $$2$$\textsuperscript{nd} counting from back to front, the $$4$$\textsuperscript{th} counting from left to right, and the $$3$$\textsuperscript{rd} counting from right to left. How many students were there in the rectangular array?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems" ]
"2023-07-07T00:00:00"
584f43df1fd1456fb6a9ff29d820ce08
1
short_answer
The number of girls was $$\frac{9}{11}$$ of that of boys in the class. Now, $$2$$ girls are transferred in, the number of girls becomes $$\frac{10}{11}$$ of that of boys. How many students are there in the class now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
"2023-07-07T00:00:00"
a1693ad113aa4c239ad89d235418724c
0
short_answer
Work out $5 \div$$\dfrac{1}{4}$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions" ]
"2023-07-07T00:00:00"
ef243e4e071b44f7aa95098500cc59c4
1
short_answer
Calculate: $$37+38+40+43+42+41=$$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction" ]
"2023-07-07T00:00:00"
a98a706222f448d38a755e2d7c5165fc
1
short_answer
Work out $$418\times7$$ Answer:~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table" ]
"2023-07-07T00:00:00"
67b7658f12214846a53f685f44cedc06
1
short_answer
Calculate $$77.5\times 52 \%+5.2\times 2.25$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
"2023-07-07T00:00:00"
439b192b6f9344e0b4321e87c7abf0c6
1
short_answer
Calculate: $$1 + \frac{1}{2}+ \frac{2}{2}+ \frac{1}{2}+ \frac{1}{3}+ \frac{2}{3}+ \frac{3}{3}+ \frac{2}{3}+ \frac{1}{3}+ \cdots + \frac{1}{10}+\frac{2}{10}+ \cdots + \frac{9}{10}+ \frac{10}{10}+ \frac{9}{10}+ \cdots + \frac{1}{10}=$$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
302d0208f5dc4303b27c7d3b793b9b4a
1
short_answer
Determine the value of the terms within the brackets. $2(3x-y)=2x+4$ $(2x-y)$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions" ]
"2023-07-07T00:00:00"
a4fcfa11aee9487fa89fc3ae9b909d04
1
short_answer
Natalie went to the local shop for her mother. How much change would she receive from £$5$ if she bought: $3$ litres of milk costing $31$p per litre $2$ packets of crisps at $17$p each $1$ large loaf of bread at $78$p $1$ magazine costing £$1.05$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation" ]
"2023-07-07T00:00:00"
dc5e7ba6ef7e4f3aa7342a10e0e8ce72
1
short_answer
(UK Latymer $11+$ Mathematics Sample Paper $2$) Trevor has five times as many sweets as Siobhan. Siobhan has 24 sweets fewer than Trevor. How many sweets does Trevor have?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Differences and Integer Multiples" ]
"2023-07-07T00:00:00"
a33234abdd534b3cb07a4fa3e75ec899
1
short_answer
Mr Lim and Mr Tan have $$390$$ tiles altogether. Mr Lim has $$5$$ times as many tiles as Mr Tan. How many more tiles does Mr Lim have than Mr Tan?
[ "Overseas Competition->Knowledge Point->Calculation Modules", "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Four Operations of Whole Numbers" ]
"2023-07-07T00:00:00"
67e8fb8a09154285b3afecd086511f32
1
short_answer
In 12 years time, Zehan will be 3 times as old as she is now. The current age of Zehan is~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Difference of Ages" ]
"2023-07-07T00:00:00"
a19e02dd5cf546089c95a5d1d0b6a300
1
short_answer
$5$ students are chosen from a group of $15$ to form a basketball team. If exactly one of A, B or C is chosen, how many different ways are there to choose the students?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
281573f15ba24a4186a9388a1bf098cb
0
short_answer
Marie bought seven cinema tickets for $£58.10$. How much was each ticket?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
6001dc976c8f4e57b213b0ec00f81c8d
0
short_answer
Convert $0.36$ to a percent.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
"2023-07-07T00:00:00"
f8d4c7f0881341e782609d8014e213f2
1
short_answer
A bottle of lemonade is made in the ratio $2$ parts of lemon juice to $3$ parts of water. $80\text{ml}$ of lemon juice is added into the bottle, the ratio of lemon juice to water becomes $6$ to $5$. How much lemon juice was in the bottle at the beginning?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value" ]
"2023-07-07T00:00:00"
f316dc29ab1c42f6856c88cdf434b9d6
1
short_answer
$$536-11$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form" ]
"2023-07-07T00:00:00"
30a3509e42044edda1c9958aff442893
1
short_answer
Solve~$\dfrac{v}{3}=6$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Fraction and Decimal Coefficient" ]
"2023-07-07T00:00:00"
23588cfeb453402e8f12679dd2cc4b4d
1
short_answer
Savannah and Shaila shared some sweets iin the ratio $$5:6$$. Shaila received $$36$$ sweets. How many sweets were there altogether? ~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units" ]
"2023-07-07T00:00:00"
0cbee9a5a4dd4fbe91884d23889738ca
2
short_answer
Kim gave $$\dfrac{1}{3}$$ of her savings to her mother. She then bought some dresses for £$$177$$ and spent £$$129$$ on a pair of earrings. After that, she found that the amount of money left was 50\% of what she gave her mother. How much was her savings?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
"2023-07-07T00:00:00"
2f04dfbbee9d429aa18f6c6b7716eaad
1
short_answer
Among 100 foreign language teachers, 75 of them know French and 45 of them know Japanese. Every teacher must know either French or Japanese. There must be some teachers who know both French and Japanese. How many teachers only know French?
[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets" ]
"2023-07-07T00:00:00"
183382b70cca478d82e7b2a617f4c3a7
1
short_answer
A car departed $9$ minutes later than the scheduled time. In order to reach its destination on time, it has to increase its speed by $30 \%$. If the usual speed of the car is $60$ mph, how far does this car have to travel to reach its destination?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
93c95414fb804348a0d0b204e11a3791
1
short_answer
I am thinking of a number. If the number is added to $$8$$, the sum is multiplied by $$8$$, $$8$$ is subtracted from the product, and the difference is divided by $$8$$, it yields a quotient of $$80$$. What is this number?
[ "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning" ]
"2023-07-07T00:00:00"
f4c49e9a21c542c0922cf3476b6075cf
1
short_answer
If a cyclist increases his speed by $25 \%$, the time taken for him to cover a certain distance will decrease by $20$ minutes. If the cyclist decreases his speed by $45$ metres per minute, the time taken for him to cover the same certain distance will increase by $75 \%$. Find the distance he has to travel.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
1f23a8cd28504dc283d3311874eb1b31
1
short_answer
Kavitha used a total of $$10$$ red ropes and blue ropes. Each red rope was $$2$$ $$\rm m$$ long. Each blue rope was $$3$$ $$\rm m$$ long. The total length of ropes she used was $$26$$ $$\rm m$$. How many red ropes did she use? (Hint: Draw a table!)
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis" ]
"2023-07-07T00:00:00"
271cac95894d444cb0e4c7e109f430e8
1
short_answer
Find x. $$37-3(x+7)=5x$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions", "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable" ]
"2023-07-07T00:00:00"
8539d96612824e36b81b50c2b2658def
1
short_answer
The spring sports meeting is coming soon, and every student in Class 1 of Grade 6 has signed up for at least one event. If 40 students are participating in skipping rope and 31 students participating in the long jump, and 21 students participating in both events, how many students are participating in only one event?
[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets" ]
"2023-07-07T00:00:00"
c51f49dc3f6c442eb3ffb2f4d9696fa4
1
short_answer
If $30 \%$ of £$P$ is £$21$, what is $P$?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
"2023-07-07T00:00:00"
dfd8ad42f8c24fbab602cc7800828a8d
2
short_answer
Red Star Primary School saved a total of $$366$$ kWh of electricity in the first half of the year, and an average of $$65$$ kWh per month in the second half og of the year. Therefore,~\uline{~~~~~~~~~~}~electricity was saved on average per minth last year.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems " ]
"2023-07-07T00:00:00"
4189a90109e9484e9780addd6b35f9fb
0
short_answer
Some children are in a summer camp. If the children are divided into groups of $$7$$, then each child will be in a group. If the children are divided into groups of $$9$$, then $$2$$ children will be left out. What is the smallest possible number of children in the summer camp?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples" ]
"2023-07-07T00:00:00"
c5cf05af833245899166a02b3570e548
2
short_answer
Separate $$22$$ as the sum of two different integers. How many ways are there? (Consider $$5+6$$ and $$6+5$$ as the same method)
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers" ]
"2023-07-07T00:00:00"
6f8781d116474d85b94e06547f7d5416
1
short_answer
Geraldine bought some flour. She used $$\frac{1}{7}$$ of the flour to make brownies, $$\frac{1}{14}$$ of it to make cookies and $$\frac{1}{2}$$ of it to make muffins. What fraction of the flour did Geraldine use altogether? Leave your answer in the simplest form.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate" ]
"2023-07-07T00:00:00"
21c19bf30c9e484da5b4f34fb1840b5e
1
short_answer
The difference between the smallest factor and greatest factor of $$A$$ is $$41$$. What is the $$7^{th}$$ multiple of $$A$$?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
def5b3612da3468e9d98c7cc1995d2cd
1
short_answer
The ratio of height to width on an old television screen is $$3:4$$. If the height of a television screen was $$21\text{cm}$$, find the perimeter of the screen.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio" ]
"2023-07-07T00:00:00"
d8025a94b93345f1902df99a144007ac
1
short_answer
$1\dfrac{1}{2}\times1\dfrac{1}{3}\times1\dfrac{1}{4}\times\cdots \times1\dfrac{1}{10}\times1\dfrac{1}{11}=$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
04961b35b9584c548a6854262aa9304c
1
short_answer
$98 \div 7 =$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table" ]
"2023-07-07T00:00:00"
e7414af263794113add74774679c9252
1
short_answer
Nathan, Rosephine and Sheena were given some lollipops. $\frac{1}{2}$ of Nathan\textquotesingle s number of lollipops was equal to $\frac{1}{5}$ of Rosephine\textquotesingle s number of lollipops. $\frac{1}{5}$ of Rosephine\textquotesingle s number of lollipops was also equal to $\frac{3}{5}$ of Sheena\textquotesingle s number of lollipops. If they had $780$ lollipops in total, how many lollipops did Sheena have?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
b648815bab0d43cd9b3f91f1c29fe90c
1
short_answer
Buzz is three times as heavy as Jessie. If Buzz is $450{\rm{g}}$ heavier than Jessie, what is the weight of Buzz in grams?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Differences and Integer Multiples" ]
"2023-07-07T00:00:00"
7f1e36d85a1d4a2f9ceb00407fbaa1e4
1
short_answer
The difference between two numbers is $$36$$ and the sum of the numbers is $$98$$. What is the value of the smaller number?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference" ]
"2023-07-07T00:00:00"
a6427ff471f34eac98798cb1ab5da071
1
short_answer
Find the remainder of $\underbrace{333\ldots333}_{{12 \text{digits} }}\div7$.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations" ]
"2023-07-07T00:00:00"
4e8cab6040bd40b7893c300856c19b6b
2
short_answer
Calculate: $2 + 4 + 6 + \ldots.. + 156 + 158 + 160$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences" ]
"2023-07-07T00:00:00"
6e24543c83134c5590295ad8804d20c1
1
short_answer
Thompson has $8$ bags. There are $4$ pens in each bag. How many pens does he have in total?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
562c0f78f4174d73bb44a0cce09887c7
1
short_answer
What is the last digit of the expression below? $$\underbrace{4\times4\times4\times\cdots\times4}_{100} \times \underbrace{7\times7\times7\times\cdots\times7}_{100} \times \underbrace{9\times9\times9\times\cdots\times9}_{100} \times \underbrace{11\times11\times11\times\cdots\times11}_{100}$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers" ]
"2023-07-07T00:00:00"
f0b605621a9e488c833ca38ce574f364
3
short_answer
Calculate: $$18+17-16-15+14+13-12-11=$$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction" ]
"2023-07-07T00:00:00"
1abc42cdc116468cb9f0339bff2e3acc
1
short_answer
Meng attended a Chinese Competition which had $60$ questions. Meng answered $70 \%$ of them. For each correct answer, Meng will get $3$ marks. However, for each wrong answer, Meng will deduct $1$ mark. For each unanswered question, no marks will be awarded nor deducted. If Meng scored $78$ marks in total, how many questions did Meng answer correctly?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems" ]
"2023-07-07T00:00:00"
348877530d8f4f2dbe709fa72001f569
1
short_answer
The cost of $$6$$ files and $$10$$ rulers is $ $40$. What is the cost of $$9$$ files and $$15$$ rulers? $ $$~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
c94ef69eb1ea40b382fada9c92ec874e
3
short_answer
John had $\frac{5}{13}$ of the amount of Jessie\textquotesingle s money. Jessie then transferred $$ $600$$ to John. As a result, John\textquotesingle s money became $50 \%$ of the amount of Jessie\textquotesingle s money. How much money did they have in total? $ $$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity" ]
"2023-07-07T00:00:00"
399a22bd96244c04ab9eff62cbee5b68
1
short_answer
Dani wrote the integers from $$1$$ to $$N$$. She used the digit $$1$$ fifteen times. She used the digit $$2$$ fourteen times. What is $$N$$?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering" ]
"2023-07-07T00:00:00"
a848bdfd5ea34a9ebb4eb13e5c8f9d6f
1
short_answer
Lisa was baking bread in the oven. The bread got into the oven at $10:30$. When she took the bread out of the oven, it was $11:00$. How long did it take to bake the bread in the oven?
[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem" ]
"2023-07-07T00:00:00"
a6ce7d2ec26147f4873239aa9574bc39
1
short_answer
The ratio of the number of T-shirts to the number of caps that Siti had was $$8:5$$. The cost of each T-shirt was $$$3$$ and the cost of each cap was $$$5$$. Siti sold $$\frac{{1}}{{4}}$$ of theT-shirts and $$\frac{{1}}{{5}}$$ of the caps. She collected $$$132$$ for the items she sold. How many T-shirts did Siti have at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems" ]
"2023-07-07T00:00:00"
a31cae71b18e4581ac44ea1064373892
1
short_answer
Ian buys $3$ bananas at $12$p per banana $5$ apples at $11$p per apple If Ian pays with a $£2$ coin how much change would Ian get? Give your answer in pounds and pence.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method" ]
"2023-07-07T00:00:00"
6c88703393b945c0b0bfae7254353841
1
short_answer
Harvir is one of seven children who were all born $2$~years apart. The youngest is Nilen who is only seven years old while Harvir is the oldest. What is Harvir's age?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals", "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations", "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The General Term of an Arithmetic Sequence" ]
"2023-07-07T00:00:00"
a4d1fe51e51644a68d34267f1c2f5275
1
short_answer
Bobby was given some money for his birthday. He decided to buy a calendar for £$$6.97$$ and a ball for £$$2.99$$. How much did he spend?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals", "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table", "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table" ]
"2023-07-07T00:00:00"
e44878f3a4c142f6a0f13947c2b24159
2
short_answer
Norah used $$\rm \frac 15 kg$$ of flour to make muffins and $$\frac 12 \rm kg$$ of flour to make cookies. After that, she had $$\rm 360g$$ of flour left. How many kilograms of flour did she have at first?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
c578c0aa1c3c4f668b3e35402f2a9536
2
short_answer
Oranges cost 26p each and lemons cost 30p each. Gordon spent exactly £5 on a mixture of oranges and lemons. How many oranges and lemons altogether did he buy?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with Multiple Variables" ]
"2023-07-07T00:00:00"
cd2ade63fdb943c2be635c4890f7b39f
1
short_answer
Judy, James, Bowen, and I are sitting around a circular table. How many different orders are there for us to sit?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
0bc58aa125af4c5da502baffb301c81e
1
short_answer
There were some eggs in a basket. After adding $24$ eggs, the number of eggs is now thrice the original number in the beginning. How many eggs were in the basket at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
e63df9e57c014a358e54d2a32b1e30ef
1
short_answer
Given the rule that $a$※$b$ represents the result of $3$ times $a$ minus $2$ times $b$ (for example, $4$※$4=3\times 4-2\times 4=4$), and given the rule that $a \Delta b$ represents the result of $3$ times $a$ plus $2$ times $b$ (for example, $1 \Delta 4=3\times 1+2\times 4=11$), calculate:$((3 \Delta 4)$※$5)\Delta 6$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly" ]
"2023-07-07T00:00:00"
297ef73642eb4bb7bc9c876f32b727e7
1
short_answer
A dictionary has $440$ pages. Numbering from page $1$ to $440$, how many times is the digit $5$ printed?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem" ]
"2023-07-07T00:00:00"
f96223372da84682a7c29924dbb659bb
3
short_answer
A box could contain $$8$$ cookies. There were $$298$$ cookies. How many boxes were needed?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
36563a3f9be64d47a2d4bd411b572cae
3
short_answer
On the first day of an amusement park\textquotesingle s opening, the number of male visitors was $450$ more than the number of female visitors. On the second day, the number of female visitors increased by $15 \%$ but the number of male visitors decreased by $18 \%$. The total number of visitors for the second day was $1354$. How many visitors were there on the first day?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
"2023-07-07T00:00:00"
5ee47aa9d6ab43b487b000bf91697924
1
short_answer
$$n$$ is the number for which $$2 \times n+5=10$$. $$n=$$?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals" ]
"2023-07-07T00:00:00"
74eeba4eef5b4ec989b3c5c3a572e887
1
short_answer
At first, Leo had $$220$$ dollars more than Jason. After receiving the salary, Leo got extra $$180$$ dollars, and Jason got extra $$1100$$ dollars. Now, Jason has $$2$$ times as much money as Leo. How many dollars does Jason have now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple" ]
"2023-07-07T00:00:00"
21668aad8ae540c3af86ad2cada5fa45
2
short_answer
There are 3 biographies, 4 science fictions, 2 magazines, and 2 schoolbooks. Joe wants to put them in a line in his bookcase. How many different ways are there for him to put these decorations?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
302fe51df29b42d5b5c26676941903eb
2
short_answer
In the following, all the different letters stand for different digits. Find the value of $$\overline{EFCBH}$$.
[ "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles" ]
"2023-07-07T00:00:00"
6c0f20194f4d43c694fdc3e29818292c
1
short_answer
Tania wants to split $$7$$ identical pencils into $$3$$ identical pencil cases. How many different ways can she do so?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration" ]
"2023-07-07T00:00:00"
2cbac0435d3842e0a32ebcb7823538b7
1
short_answer
A factory makes $347$ toy robots each day. How many toy robots can the factory make in a week?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication" ]
"2023-07-07T00:00:00"
f005eeb563694763b1cfdaeee89b1c28
2
short_answer
(UK The Kings School Chester Math Matics Sample paper$1$ Question $$14$$) James counts down in $9$'s starting from $345$ until he passes zero. Which will be the last positive number which he counts?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders" ]
"2023-07-07T00:00:00"
0dba6392fb4849a0b274002c4f736054
1
short_answer
Five friends shared the cost of a mansion (priced at $$3$$ million pounds) equally. How much did each of them pay? Answer~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
9322b5fd8c0f4ef49dbb6806c5d58465
1
short_answer
$$50$$ children want to purchase the special football club shirt of their school. The shirt costs £$$10$$, or £$$15$$ if you wish to have your name put onto the back. Together the children pay £$$555$$. How many of the children paid to have their name put onto the shirts?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Basic Type->Non-typical Types" ]
"2023-07-07T00:00:00"
4b392afd5d974f1c924defced1ff9b83
2
short_answer
David walks in the park at a speed of $$150$$ metres per minute. Ten minutes later, he increases his speed by $$50$$ metres per minute and walks for a while. David walks a total of $$3700$$ metres today. How long has David spent walking today?~\uline{~~~~~~~~~~}~minutes
[ "Overseas Competition->Knowledge Point->Word Problem Modules", "Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road" ]
"2023-07-07T00:00:00"
fa72055fad084ab58ad10b1fda0c68de
3
short_answer
On the first day of an amusement park's opening, the number of make visitors was 450 more than the number of female visitors. On the second day, the number of female visitors increased by 15\% but the number of make visitors decreased by 18\%. The total number of visitors for the second day was 1354. How many make visitors were there on the first day?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
"2023-07-07T00:00:00"
a20cb097c8264920ad40461d2d3be9bd
1
short_answer
A class of $$40$$ students is lined up in a line, starting from the first one, the students who report an odd number quit the line, the students who report an even number stand still in the same position, and then report again. So on and so forth until there is only one final student left. Question: what position he/she stand at the beginning?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers" ]
"2023-07-07T00:00:00"
2cf10171726c4ba39f1ef12370d42497
1
short_answer
Singapore time is $$7$$ $$\text{hours}$$ ahead of London time. $$A$$ plane took off from Singapore at $$05:00$$ and flew to London. When it landed in London, the clock there showed $$11:00$$. How long did the flight take?
[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
47a4f2843f6546ecafe1fb93a795ff45
2
short_answer
There are $4$ hearts playing cards, $3$ spades playing cards, $7$ diamonds playing cards. Tom wants to put them in a line. How many different ways are there ?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
2cf16071a494408aa27882168fe6226a
1
short_answer
Bella\textquotesingle s phone number is a seven digit number, Please infer those digits from Bella\textquotesingle s words. First digit: the smallest multiple of $5$. Second digit: the smallest odd number among the natural numbers. Third digit: in a single digit, the largest odd number. Fourth place: in nature, the smallest even number. Fifth digit: the largest single digit that is a multiple of $2$. Sixth digit: the smallest odd number greater than $1$ in nature. Seventh digit: I don\textquotesingle t know, but my home phone number is both a multiple of $2$ and a multiple of $5$. (The above is the order from high to low)
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers" ]
"2023-07-07T00:00:00"
b2512ca447d44ce79e7439b887e4b561
1
short_answer
Jon has $30 \%$ more money than Miguel and together they have $£46$.~ Calculate how much money Jon has.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]