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"
34a8b75acf004a629ab022c2cfb11cd3
1
short_answer
Find the last two digits in $$1+11+111+1111+\cdots +\underbrace{111\cdots 111}_{50 1\text{s}}$$.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders " ]
"2023-07-07T00:00:00"
2addb83d9ec14899ae26c229580cd24c
1
short_answer
Einstein can afford to buy either $$6$$ apples and $$7$$ bananas or else $$8$$ apples and $$4$$ bananas. Both options leave him with no change whatsoever. If, however, he bought only bananas, how many could he afford?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Object Substitution" ]
"2023-07-07T00:00:00"
03505bb4be72488c85f4a43b911b69fb
1
short_answer
A class is holding a maths competition and a coding competition. Every student is required to participate in at least one of them. There are $$36$$ students participating in the coding competition; $$21$$ students participating in the math competition and $$20$$ students participating in both. Find the total number of students in this class.
[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
8897310e705d4b0996136ec5d1345eb8
3
short_answer
How many different ways can you place $15$ envelopes in the following 4 mailboxes so that there are at least $2$ envelopes in box $A$, at least $4$ envelopes in box $B$, and at least $3$ envelopes in box $C$?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
ffec8472e27a457186b91c2a9b4876f7
2
short_answer
Leo is doing a decimal division, but he forgets to put down the decimal point of the divisor $$2.11$$. The result turns out to be $$98.01$$ less than the true result. What is the value of the true result?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals" ]
"2023-07-07T00:00:00"
3be71ea95b604423b0c4053a0bdc5fc8
1
short_answer
A class has 44 students participating in competitions, 30 of whom participate in math competitions and 26 in art competitions. How many students participate in both math and art competitions?
[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets" ]
"2023-07-07T00:00:00"
da34c13acd4f4312a4166e9435990496
1
short_answer
John and Choon Mui had the same amount of money. When John spent $$$30$$ and Choon Mui spent $$$150$$, John found that the amount he had left was four times as much as the amount of money Choon Mui had left. How much money did John have left?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference" ]
"2023-07-07T00:00:00"
3a6ea0bb1dac4585a29c21ba5dadca5d
1
short_answer
How many seconds are there in one week?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time" ]
"2023-07-07T00:00:00"
8d5bc66e7f26483e93a8178a57870366
3
short_answer
\textbf{Percentage Single Base} 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 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"
db8434167bdb42b494e99767df043336
1
short_answer
An egg-seller sold $$5$$ eggs more than half the number of eggs in his basket. He then sold $$4$$ eggs fewer than half of the remaining eggs in his basket. If he was left with $$15$$ eggs, how many eggs were in the basket at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable" ]
"2023-07-07T00:00:00"
88e8074a774845edbbc61fbfd06e2d2f
1
short_answer
County highway~ has a speed limit for motor vehicles at $65$ miles per hour. If a car drives at the limited speed for $$15$$ minutes, how many kilometers can it travel?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
b5f4586abff348538a08b5773026326b
0
short_answer
Increase by the given percentage $200$ by $10 \%$.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
"2023-07-07T00:00:00"
953c0cd469784f418a1e4b46c24aa581
0
short_answer
I am making a scale model of my yacht, which is $8\text{m}$~long. If the scale is $1:20$, how long will the model yacht be (in~$\text{cm}$)?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale" ]
"2023-07-07T00:00:00"
026cc253a39b4f7a8ff32127b4f5f99c
1
short_answer
In $7$W there are $28$ girls. $20$ like One Direction. $17$ like The Vamps. $15$ like both One Direction and The Vamps. How many girls like neither One Direction nor The Vamps?
[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets" ]
"2023-07-07T00:00:00"
61fc4738f46a4c1da0407128ad60defd
1
short_answer
(UK Dulwich College year $7$ maths specimen paper C mark scheme Question \# $3 $) $$617\times6$$
[ "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"
5bf8127164644eda8c073097bd158315
1
short_answer
Multiply $$193$$ by $$72$$.
[ "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"
ff891cbe817f4502a65021a59cdc3af5
1
short_answer
Four people stand in a line in order $$A$$ $$B$$ $$C$$ $$D$$. The people then change positions in the line so that \textbf{no one person is left standing in the same position as they were to start with}, for example, $$C$$ $$A$$ $D$ $$B$$. How many possible ways are there of doing this?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Applications of Permutations" ]
"2023-07-07T00:00:00"
7d6f9d84e0f64b73964b90b16040c92d
1
short_answer
Mrs Tan shared $175$ balloons equally among $7$ pupils. How many balloons did each pupil get?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
4af723c7f6a341b197db0f858a97435c
1
short_answer
Khatijah throws two dice and adds together the scores. How many different ways can she score $$8$$? Show each different way clearly.
[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Rolling Dice" ]
"2023-07-07T00:00:00"
362010cacc1c428e87e8f76968f8b0d1
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"
af71ae92175c47c2bbfef7d6d4226104
1
short_answer
Tom starts a savings account with $$$12000$$ at a bank. The interest rate is calculated at $$10 \%$$ on a yearly basis. How much will he get at the end of $$2$$ years?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems" ]
"2023-07-07T00:00:00"
372a0dd4bdd148518598bd5418fd17af
1
short_answer
Solve the following equation: $$95 \%x-\frac{2}{5}x=55$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation" ]
"2023-07-07T00:00:00"
d4d78225836642e3a6857447ae177c76
1
short_answer
Calculate $2.4 \times \left( {3.7 + 1.3} \right) \div 2$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals" ]
"2023-07-07T00:00:00"
bb7980b8187641c693b65724c3bf2545
1
short_answer
Pip thinks of a number. When the number is divided by $$7$$, the remainder is $$2$$. When the number is divided by $$13$$, the remainder is $$2$$. It is less than $$100$$. 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"
932cd151b950413daad721128c59b65f
1
short_answer
John is paid $$ $78$$ for $$6.5\text{h}$$ of work. John then calculated that if he were to work $8$ hours a day for the whole of this week, he will be able to pay off his $ $700$ debt. After collecting his pay at the end of the week, his jaw dropped as he realised he still could not pay off his debt. Why?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable" ]
"2023-07-07T00:00:00"
1a52a8a55f6a4622afbe5b311556da89
1
short_answer
$$53\times627$$
[ "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"
546aa08753494a909833d0621b194317
1
short_answer
Eric is going to travel from $A$ to $B$. The air ticket is $800$ dollars and the train ticket is $378$ dollars. How much is the air ticket more expensive than the train ticket?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
"2023-07-07T00:00:00"
fea0f54b7aae43d2aa3a63d63126d66b
1
short_answer
Maybelline ends work at $$20:30$$. She works for $$8\textasciitilde\text{h}\textasciitilde45\textasciitilde\min$$. What time does she start work? Express your answer in the $$12$$-hour clock.~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation" ]
"2023-07-07T00:00:00"
40fa5f91d7774c719164c67d4befac6e
1
short_answer
Do you know the value of A? A=~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)" ]
"2023-07-07T00:00:00"
c569206e3d8e45da9a5fd08bd75dd481
0
short_answer
Round $$14575$$ to the nearest $$100$$. ~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers" ]
"2023-07-07T00:00:00"
18d69d8447c241eba858de2a934b9dd6
1
short_answer
How many of the numbers from 100 to 999 have exactly one zero digit?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
0420376192d448b6b35d8dbb1e3ba394
1
short_answer
Arjun gets his hair cut every $$2$$ weeks. Yahya gets his hair cut every $$10$$ days. They both got their hair cut on the same day. How long until this happens again?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers" ]
"2023-07-07T00:00:00"
f0fbdd43508d4b8bac3f15715fcfe710
1
short_answer
At Think Olympics, Jack completes an $$800-$$meter race. He runs the first $$280$$ meters at a speed of $$7$$ meters per second, the middle $$400$$ meters at a speed of $$5$$ meters per second, and in the sprint stage, Jack runs at a speed of $$8$$ meters per second. Find the time Jack spends to complete the 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"
0ea8d4a5251c4d73939b3f7e26abc354
1
short_answer
If the four-digit number $$\overline{2\square 9\square }$$ is divisible by both $$3$$ and $$5$$, find the sum of all the possible four-digit numbers.~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules" ]
"2023-07-07T00:00:00"
3a8af64305054e408ce6703563a42e67
1
short_answer
A crew of workers is planting trees on one side of a $$42-$$meter highway every $$7$$ metres apart. If there are no trees planted on both ends of the highway, the workers plant a total of~\uline{~~~~~~~~~~}~trees.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting Trees only on One Side (straight line type)", "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides", "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting no Trees on either Side (straight line type)" ]
"2023-07-07T00:00:00"
a50c5ac06f154c1ab40822b47b13e86a
2
short_answer
Hillary collected some stamps. She gave $14$ stamps to her sister and bought $11$ more stamps from Singpost. After which, she used $2$ stamps to send a letter to her friend in Malaysia. In the end, she has $34$ stamps left. How many stamps does she have at first?~\uline{~~~~~~~~~~}~stamps
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems" ]
"2023-07-07T00:00:00"
063e43565ec941b8b309de1ea64f2a4d
1
short_answer
Lucas is the owner of a shoe shop. One day, a customer bought a pair of shoes costing £$30$ with a £$50$ note. Lucas then went to the supermarket for some change. Afterwards, the owner of the supermarket found out that the £$50$ note was fake, and Lucas had to pay the £$50$ back. Knowing that the shoes cost £$30$, how much money did Lucas lose that day?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
"2023-07-07T00:00:00"
51012ecffd1f47a19d29d548fccb4460
1
short_answer
Work out: $21+22+23+\dots+97+98+99$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences" ]
"2023-07-07T00:00:00"
9929cc1f915941dd90453af8a8ff6e9d
1
short_answer
Work out $$\frac{5}{7}$$ of $$112$$ Answer:~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions" ]
"2023-07-07T00:00:00"
8a5fc0b3c5f6473db327f5603655842e
1
short_answer
In how many ways can $$10$$ students $$A, B, C, D, E, F, G, H, I, J$$ line up in a row if students $$A, B$$ and $C$ are always next to each other?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Operations of Permutations", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
5af9d49786184344b4cc613f0a935eb9
2
short_answer
``$$123456789101112\cdot \cdot \cdot 2930$$'' is a number, we remove 46 numbers forming a new number that is not 0. Then the smallest number we can get is~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating" ]
"2023-07-07T00:00:00"
cb7070ea663b4e43bd0e3c4a4ae168ef
1
short_answer
$$6\times9 \times 12 =$$
[ "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"
b94280bff5ab40d6a0f1f51b73c6b796
1
short_answer
There are 5 white balls and 6 blue balls in a bag. How many balls would you need to take out at least to guarantee that you have a white ball?(⭐⭐)
[ "Overseas Competition->Knowledge Point->Combinatorics" ]
"2023-07-07T00:00:00"
79102f1901d94f8aaf6295c7c0b16f08
0
short_answer
How many ways can we pick $4$ students from a group of $15$ to be on the football team?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
b96c9f2ccbdd4053bb3e1c306d2c7cbe
2
short_answer
James has 24 marbles. Linda has $\dfrac{1}{2}$as many marbles as James. Ben has $\dfrac{1}{4}$~as many marbles as Linda. How many marbles do they have altogether?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
b50b389683c44f05a3574ad0a3a8b04f
2
short_answer
Find the value of the following expression. $$ (1+2+3+4)\times 1-(2020+2019+2018)\times 0 $$ =~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers" ]
"2023-07-07T00:00:00"
c5940c9b3ba945a795c1c8d4bf2dc024
1
short_answer
Tie three $$20$$ cm short ruler with rope to form a long ruler. The overlapping part between the two short ruler bundles is $$3$$ cm long. How many centimeters is the length of the bundle?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Overlapping" ]
"2023-07-07T00:00:00"
38bb0a271e854cfb911c418384137f41
1
short_answer
Every morning, Star goes out to exercise. At $$\rm 6:30$$ a.m., Star leaves home and jogs at a speed of $$6$$ miles per hour. At $$\rm 7:30 $$ a.m., Star feels a little bit tired and walks at a speed of $$5$$ miles per hour. At $$\rm 9:30$$ a.m., Star finishes her exercise. How many miles does Star travel in total every morning?
[ "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"
d3fe3513b7b8439ca80784b696227f81
1
short_answer
A factory recycles paper cups for use in its canteen. Seven used cups are needed to make each new cup. From $$721$$ used cups, how many new cups can be made \textbf{in total,} if \textbf{all the used cups get recycled?}
[ "Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Empty Bottles Swapped for Drinks->Allowing Borrowing " ]
"2023-07-07T00:00:00"
1dc8d2d4657c44f2aa1053854785aaa4
0
short_answer
What number (written in digits) is two hundred and twenty two less than two thousand?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Expression of Place Value Principle", "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers" ]
"2023-07-07T00:00:00"
de53e5290acf446d8f9e2d2cf711b150
1
short_answer
A vegetable plot is $23$ metres long. Cauliflowers are planted in a row down the length of the plot. They are planted $$15$$ cm apart and the first cauliflower is planted $$20$$ cm away from the start. If a Cauliflower has a width of $$45$$ cm, how many cauliflowers can be planted in the plot?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides->Planting Trees on Both Sides" ]
"2023-07-07T00:00:00"
c12d1d0039a7413aa3e069eb8b681b38
1
short_answer
Mary bought a sticky note, and she recorded the number of pages she used in $6$ days. She used $14$ pages per day in the first $3$ days, $9$ pages per day for the following $2$ days and $12$ pages on the sixth day. How many pages did Mary use on average per day?
[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability", "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]
"2023-07-07T00:00:00"
140462dc7e4c435c900bfaf90640d4f4
1
short_answer
At the school scavenger hunt, class $A$, $B$, $C$ each has $8$, $12$, $20$ students who want to particpate. The participating students will need to split into groups of the same size. They can\textquotesingle t group up with students from other classes. How many students will each group have?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Multiple Numbers" ]
"2023-07-07T00:00:00"
19ee53ef309b4ac1b03a0754f950fa53
3
short_answer
A Badminton Club had thrice as many members as the Bowling Club. However, after $$36$$ members left the Badminton Club and $$4$$ members left the Bowling Club, the two clubs had the same number of members in the end. How many members did each of the clubs have in the end?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
d433f6c9238447089a529b20f6d55cfc
1
short_answer
Evaluate: $$20^{2}-18^{2}+19^{2}-17^{2}$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula" ]
"2023-07-07T00:00:00"
2f9549d4e4cd4be0a3da0b27a9aeb039
1
short_answer
The speed of sound is about $3.4 \times 10^{2}$ meters per second. How long does it take for sound to travel $1.5$ kilometers?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
f136e2a0e618480e99a0044f35156610
1
short_answer
How many different positive whole numbers are factors of $$72$$? (remember to include $$1$$ and $$72$$ as factors)
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Theorem of the Number of Factors of a Number->Applying Theorem of the Number of Factors of a Number Directly->The Total Number of Factors" ]
"2023-07-07T00:00:00"
59dd5e71c11a413fac9da29a37a1201b
1
short_answer
How many pages are there from page $$1$$ to page $$100$$?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers" ]
"2023-07-07T00:00:00"
89588201f7f94ac8a1d4119cac4fc1e5
0
short_answer
\textbf{$$n$$~}is the number where $$n\times5=4.5$$ \textbf{$$n=$$}~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient" ]
"2023-07-07T00:00:00"
abce3e56fd794c2e9db7fff1d57bab61
1
short_answer
Find the difference between `one thousand, two hundred and thirty four' and `six hundred and seventy eight'?
[ "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"
dc773bc479574ee4a35fac2c1bab3b74
2
short_answer
The total value of the numbers printed on some cards is $$ 504$$ . Each card is printed with a different $$3$$ digit odd number. The average value of all the numbers is $$ 126$$ . The difference between the greatest and smallest number is $$6$$. Find the smallest number printed on the cards.
[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability", "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]
"2023-07-07T00:00:00"
cc28359065b040f0baac3572436155d0
1
short_answer
Wendy is twice as old as Vivien. Vivien was $$\frac{1}{4}$$ as old as Wendy $$10$$ years ago. How old is Wendy in $$5$$ years\textquotesingle{} time?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Varying Multiples in Age Problems" ]
"2023-07-07T00:00:00"
caa371df0a494602a41234dce6604f84
2
short_answer
How many zeros does the number $301\times302\times303\times\cdots\times998\times999$~end with?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product" ]
"2023-07-07T00:00:00"
6d85c136dca14c8fb76cfaff88586b4f
1
short_answer
$5.2 \div 10$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals" ]
"2023-07-07T00:00:00"
90378da3a7ee431ca10e34550d2fde15
1
short_answer
Find the integer part for the sum of the following expression. $$\dfrac{1}{10}+ \dfrac{1}{11}+ \dfrac{1}{12}+ \cdots + \dfrac{1}{19}$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Scaling" ]
"2023-07-07T00:00:00"
bc0c739adc5f403fb13b64dab9bc2e64
1
short_answer
Find the value of $x$:$$3x-(2x+3)=5$$ Pip\textquotesingle s answer:$$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde3x-2x+3=5$$ $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde x+3=5$$ $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde x=5-3$$ $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde x=2$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable" ]
"2023-07-07T00:00:00"
5e7272ec96dc4c028e0cf9d07c5a405f
2
short_answer
There are $90$ more boys than girls in a school. The ratio of the number of girls who can swim to the number of girls who can not swim is $31 : 49$. The number of boys who can swim is $120$ less than the number of boys who can not swim. If there are $1690$ pupils in the school, how many pupils can not swim?~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
23fdb74183d9468b86a9a1e7485a3ab9
2
short_answer
Find a two-digit multiple of 6 which is one more than a multiple of 13.
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication" ]
"2023-07-07T00:00:00"
25a45bd50b6544e0923661f3f0222503
1
short_answer
The golden rabbit and the sea turtle were having a $$6990-$$metre race. They started running at the same time. The golden rabbit ran at a speed of $$330\rm m/\min$$ and the sea turtle ran at a speed of $$30\rm m/\min$$. Ten minutes later, the rabbit felt confident and slept for $$215$$ minutes. Then he woke up and continued running at the same speed. According to the information above, who reached the finish line first? What was the distance between them when the first one reached the finish line?
[ "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"
e37f0736fbf94dbbadaa812272966e1b
1
short_answer
$$617-385$$
[ "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"
f04bf8b6007544d3b9bb2fd42578dd8c
2
short_answer
Bolt and Boris were running. After a while, Bolt has run $$1656$$ metres more than Boris, and the distance Bolt has finished is $$280$$ metres more than $$5$$ times that of Boris. What was the total distance they have run?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple" ]
"2023-07-07T00:00:00"
57b28975ea284c60b94b10c37a4a685a
1
short_answer
All the students of Class Two grade six have taken part in English or math interest classes, $$20$$ have taken part in English interest classes, $$35$$ have taken part in math interest classes, $$15$$ of them have taken part in two interest classes, so how many students are there in class two grade six?
[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle" ]
"2023-07-07T00:00:00"
a989d97e5a634181a65ac6343582a44d
2
short_answer
Euan\textquotesingle s pocket money went up by 10\% each year from 2018 to 2020. In 2020 he received £484 in pocket money. How much did he receive in 2018?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
"2023-07-07T00:00:00"
d40336763f3641a1be634dae96636feb
1
short_answer
Work out: $4\times\left( 2+7\right)-2\times\left( 5+3\right)$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations" ]
"2023-07-07T00:00:00"
20418f7933e340978dd3bd82bcc92a3e
0
short_answer
In how many ways can seven people line up in a row if three of them don\textquotesingle t want to stand next to each other?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
12e5a736389f435683bb5c8e50d61e2b
1
short_answer
Athletes are arranged in several rows at the opening ceremony of Think Olympics. The numbers of athletes in each row form an arithmetic sequence. There are $$10$$ athletes in the first row and $$25$$ athletes in the fourth row. Given that there are in total $$25$$ rows, find the total number of athletes at the opening ceremony.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression" ]
"2023-07-07T00:00:00"
0e3fbb38811f4247902fb227b710e62e
1
short_answer
There are $12$ boys in the class. The ratio of boys to girls is $1:2$. How many students are there in the class?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
4d62c7befaad4eceb13cc1cd164eebe3
1
short_answer
What is the number of zeros at the end of the product $$1\times 2\times 3\times \cdots \times 789$$?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization" ]
"2023-07-07T00:00:00"
d1bd5b0281c14603821cd856c0814f93
2
short_answer
$$10+11+12+\cdots +19+20=$$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences" ]
"2023-07-07T00:00:00"
49744fee4f6447fcb89a783113d3f0c0
2
short_answer
Team $$A$$ and Team $$B$$ are having a mathematics contest. The average score of Team $$A$$ is $$76$$, while the average score of Team $$B$$ is $$67$$. Given that the average score of the two team in combined is $$70$$, and there are $$20$$ students in Team $$A$$, how many students are there in Team $$B$$?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems " ]
"2023-07-07T00:00:00"
bef9ea98d3814300913ad8631dcc87c7
1
short_answer
A math competition had $100$ participants. To guarantee that the school with the most participants had at least $4$ participants, at most how many schools attended this competition?
[ "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle" ]
"2023-07-07T00:00:00"
bddc0899c1ca45f1a66f449e0e844404
1
short_answer
$23 \times 76$
[ "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"
cde4477099f04ff785b49a2072d18f0b
1
short_answer
Emily bought 195 cakes for the party and each cakes costs £46. How much does she spend for cakes?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division" ]
"2023-07-07T00:00:00"
6f4e289e9e9942129769e8733efea31f
1
short_answer
A twenty-four hour digital watch shows only hours and minutes. How many times each day does the watch show at least two fours simultaneously?
[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Reading the Clock" ]
"2023-07-07T00:00:00"
3bda0dbde94744968aa0181ba1cc0bac
1
short_answer
Make two $$3-$$digit numbers from the following group of numbers $$1$$, $$2$$, $$ 3$$, $$ 7$$, $$ 8$$ and $$9$$, and each number can be used only once. Find the lowest possible value of the product of these two numbers.
[ "Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Forming a Maximum/Minimum Multi-Digit Numbers with Fixed Sums" ]
"2023-07-07T00:00:00"
cd817843175e41e8b65030d600357b18
2
short_answer
$$\overline{ABCD}$$ represents a $$4$$-digit number, and $$\overline{EFG}$$~ represents a $$3$$-digit number. $$A-G$$ each represents a different number from $$1$$ to $$9$$. Given that the sum of these two numbers is $$1993$$, find the difference between the largest possible product and the least possible product of these two numbers.
[ "Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
e9c5342a82354465b6f16c78f081eeab
1
short_answer
In a board game, Miranda and Sam use regular dice to decide how many steps they can go each time. If Sam wants to get from the $$1$$\textsuperscript{st} position to the $$25$$\textsuperscript{th} position as fast as he can, he needs to roll the regular dice at least~\uline{~~~~~~~~~~}~times.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides" ]
"2023-07-07T00:00:00"
a51bd65e7b8041c29809ddac356ad0cd
1
short_answer
Calculate: $$2019+1969+1919+\cdots +119+69+19$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences" ]
"2023-07-07T00:00:00"
018443a51fa1436b9ab0ca6c0c37b98f
2
short_answer
The sum of the digits of a $$2-$$digit number is $$15$$. What is the smallest possible such $$2-$$digit number?
[ "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning" ]
"2023-07-07T00:00:00"
e17d88a82a53495296ec5959ab199254
1
short_answer
$4.5\times14$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals" ]
"2023-07-07T00:00:00"
2edcaf59ada74114ad5ad084b9daa534
2
short_answer
What is the value of $$2-(-2-2)-(-2-(-2-2))$$?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers" ]
"2023-07-07T00:00:00"
c46f174aa4ca4269bd208d1d522bca03
1
short_answer
$43-5.2+1.03$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Mixed Operations of Addition and Subtraction of Decimals" ]
"2023-07-07T00:00:00"
d77bee6b305846ecbd5dff987f4e42d6
1
short_answer
Calculate $0.45 + 1.02 + 3.003$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals" ]
"2023-07-07T00:00:00"
ccee4c3a5a784522aa2ab0b3f57c382d
1
short_answer
Calculate: $20.23\times321+202.3\times45.6+2.023\times2230=$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals" ]
"2023-07-07T00:00:00"
a05a23198be14a49b4fffef79e084b27
1
short_answer
A mouse is trying to climb out of a hole which is $220\text{cm}$~deep. Each hour, she manages to climb $40\text{cm}$, but slips back $10\text{cm}$~when she stops for a rest. How many hours will it take her to reach the top of the hole?
[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation" ]
"2023-07-07T00:00:00"
6cdbe58e9a9f4186995fe83503eec2d2
1
short_answer
With the digits $0-9$, what is the largest prime number that can be formed, which is less than $30$?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers" ]
"2023-07-07T00:00:00"
6114bae2343b4198a428d3afa112c960
1
short_answer
What is the missing number in the box below? $$3000+ \boxed{?} +80+9=3989$$
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers" ]
"2023-07-07T00:00:00"
90f6519f131740598ed9fbc1b29e3f94
1
short_answer
A group of $5$ typists are able to type $$6000$$ words in $$20$$ minutes. They were tasked to type out $9000$ words. However, $2$ of them fell sick. One of them declared: "We need $45$ minutes to finish this job!" Is he correct? If not, how long do they need?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value" ]
"2023-07-07T00:00:00"
aacb3756717d41cc8276dc87aede4f8c
1
short_answer
At a grocery store, the price of each cabbage is $ $0.96$. Katie bought $8$ cabbages. If she can buy $6$ identical lettuces with the same amount of money, what is the price of each lettuce?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
019ec282bc4a45b8a08add1000a1c483
1
short_answer
($$2016$$ Henry Park Primary School, Quiz $$1$$, Primary Two, Question \#$$15$$) Yen\textquotesingle s grandparents gave her $$$388$$ for her birthday. She spent $$$97$$ on a pair of shoes and saved the rest. How much money did Yen save? Yen saved $~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]