dataset_version
timestamp[s]
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
71354bd305fb422b983b708a2e55f7c0
0
short_answer
Use the numbers below to complete the calculations. You may use each number more than once. $2$~ ~ ~ $6$~ ~ ~ $1$~ ~ ~ $10$~ ~ ~ $5$~ ~ ~ $3$ ~\uline{~~~~~~~~~~}~$\div 3=2$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division within the Multiplication Tables" ]
2023-07-07T00:00:00
24f3890540474354abf2b6aab5320a8e
1
short_answer
How many ways can we write the number 15 as the sum of three positive numbers not smaller than 3?
[ "Overseas Competition->Knowledge Point->Number Theory Modules" ]
2023-07-07T00:00:00
e4302d8e3fe6443f86fb2f2192888ff3
1
short_answer
(UK St Paul's Girls School Sample Paper Section $A$ Question $$4$$) Calculate $37 \times 4 \times 5$
[ "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
f73c33519c0241a3819521391ab37f99
1
short_answer
Work out $495 \div 9$
[ "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
2b306992899a447c8bce44df9392630c
3
short_answer
$$John$$ had $$180$$ more cookies than $$Peter$$. After $$John$$ sold~$\tfrac{4}{5}$~of her cookies and $$Peter$$ sold~$\tfrac{3}{10}$~of her cookies, $$John$$ had~$\tfrac{1}{2}$~as many cookies as $$Peter$$ left. How many cookies did $$John$$ have at first?
[ "Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity" ]
2023-07-07T00:00:00
749c7cdc53e24203887314d85737cdc8
1
short_answer
A given number is a multiple of $$4$$. It is between $$5$$ and $$15$$. It is also a factor of $$36$$. What is the number?
[ "Overseas In-curriculum->Knowledge Point->Knowing Numbers->Characteristics of Numbers ->Factors and Multiples->Finding Multiples of a Given Number", "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples" ]
2023-07-07T00:00:00
f0c276e8ed7d4821a196335de4288bc4
1
short_answer
Think Academy has $32$ pencils and $40$ pens to give students as gifts. Each student should receive the same amount of pencils and pens, leaving no spare pens or pencils left. How many students at most will be able to receive the gift?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers" ]
2023-07-07T00:00:00
35b813cb449f448997d243f1033f3d44
1
short_answer
Choose $$4$$ digits, without repetition, from $$1$$, $$3$$, $$4$$ and $$7$$ to form two $$2$$-digit numbers and add them up. What is the minimum value of the sum?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
e9ac9bbd3734447f886684d6a291bb73
1
short_answer
Theo has taken $$4$$ tests and his average mark is $$60 \%$$. He scores $$70 \%$$ on his fifth test.What is his average now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Cross Method in Concentration Problems" ]
2023-07-07T00:00:00
794ee5871b124fb5a74edc519e0ba668
2
short_answer
There are 6 horses, 12 pigs and 12 rabbits on the farm. Last week, each horse ate 20kg of apples, each pig ate 15kg of apples and each rabbit ate 5kg of apples. Find the average amount of apples eaten by each animal last week.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication" ]
2023-07-07T00:00:00
f37924ba75cc416ea7c7bd48e7b219c5
2
short_answer
With some 3-digit numbers, the third digit is the sum of the first two digits. For example, with the number 213 we can add 1 and 2 to get 3, so the third digit is the sum of the first two digits. How man 3-digit numbers are there where the third digit is the sum of the first two digits?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
2023-07-07T00:00:00
a0efd19a57614ce1b7d082746b893c41
1
short_answer
Pip wants to buy $$6$$ cups of ice-cream for his friends. The full price of each cup of ice-cream is $$4$$ dollars. Currently, the ice-creamland has two sale pla
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation" ]
2023-07-07T00:00:00
ced80c2b218f4935873bd032dc151175
1
short_answer
Eddie gets some peaches for Class A and Class B. If all peaches are given to Class A, each student can get $5$ peaches and there will be $10$ peaches left. If all peaches are given to Class B and each student can get $8$ peaches, we will need $2$ more peaches. It is known that Class A has $3$ more students than Class B. How many peaches does Eddie get?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems" ]
2023-07-07T00:00:00
762265e33a1846639ea872d9802d0788
1
short_answer
Round $3172$ to the nearest $100$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers" ]
2023-07-07T00:00:00
7a1ae541cfea449eb61ea2f963babc55
2
short_answer
Benson spent $$ $74$$ while Jayden spent $$ $120$$. The amount of money Benson had left was three times as much as the amount of money Jayden had left. If both of them had a combined total of $$ $590$$ at first, how much money did Jayden have left?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]
2023-07-07T00:00:00
8e18ac8eb4bf4eb1aa2ab441e1aa8f37
2
short_answer
There is such a positive integer: if it is divided by $$7$$, the remainder is $$2$$; if it is divided by $$9$$, the remainder is $$3$$; if it is divided by $$11$$, the remainder is $$4$$. Find the least possible value of such a number.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem" ]
2023-07-07T00:00:00
359bfb2629704d10a8dd53892a5dc3f6
2
short_answer
If $$S=2+22+222+2222+\cdots +\underbrace{222\cdots 222}_{2017'\,'2'\,'\text{s}}$$, what is the sum of the last $$5$$ digits of $$S$$?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers" ]
2023-07-07T00:00:00
296fcbb0011f488f90d6fbcdc37797a7
1
short_answer
An orange drink is made by mixing water with concentrated orange juice. $$\dfrac{3}{4}$$ of the orange drink is water. How many litres of water will be in $$12$$ litres of orange drink?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
2023-07-07T00:00:00
af2c741435fd4a9c86c69499b4f20b42
1
short_answer
$145+37=$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]
2023-07-07T00:00:00
09786a51b6224d4080e5d4e9523b4288
0
short_answer
\textbf{$$n$$~}is the units digit when $$547$$ is multiplied by $$479$$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~}
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication in Vertical Form" ]
2023-07-07T00:00:00
fd1283ec4ba7444fabc638211f9fb2c9
1
short_answer
How many centimetres are there in $$212.4$$ metres?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length" ]
2023-07-07T00:00:00
40405459ec9349f392fa92d748ff0ae5
1
short_answer
$$32068-1774$$
[ "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
1893b64c811b4996a464e737aadc6c57
1
short_answer
Betty and Kevin finish watching a movie in the cinema and want to go home. Betty leaves earlier than Kevin and arrives at a grocery store in $$6$$ minutes. At this time, Kevin has walked $$150$$ metres. If both continue walking for another $$3$$ minutes at their previous speeds, Kevin will arrive at the store, and Betty will be $$900$$ metres away from the cinema. Find how many minutes earlier Betty leaves than Kevin does.
[ "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
b2f8f67236184468a93d906237dd6e44
1
short_answer
It is known that the whole number in each box below is the same. $$□\times □+□=380$$ What is the whole number?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)" ]
2023-07-07T00:00:00
98327552e4884c52bb882152f3999d49
1
short_answer
In a survey of $143$ pet owners, $100$ said they own a dog, and $14$ said they own a goldfish. $9$ said they own both a dog and a goldfish. How many owned neither a dog nor a goldfish?
[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets" ]
2023-07-07T00:00:00
8012fb86c41b408f81b73e1a65e6726b
1
short_answer
$$314-159=$$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]
2023-07-07T00:00:00
459d851ac5cd4dcd8da1397633b3b589
1
short_answer
The drink ``Raspberry Heaven'' is $1$ part raspberry juice, $2$ parts orange juice and $3$ parts apple juice. How much raspberry juice does a $300$ ml glass of Raspberry Heaven contain?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio" ]