dataset_version
unknown
queId
stringlengths
32
32
difficulty
stringclasses
5 values
qtype
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1 value
problem
stringlengths
6
2.89k
knowledge_point_routes
sequence
"2023-07-07T00:00:00"
0760b73c607e495a97b0a547a70d5af8
1
short_answer
Write down a number that is half-way between $-18$ and $-2$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers" ]
"2023-07-07T00:00:00"
76c82b772019406399e1152b52afe3a5
1
short_answer
In the four-digit number $ABCD$, different letters represent different positive digits. If $AB$ is divisible by $2$, $BC$ is divisible by $3$, $CD$ is divisible by $5$, $ABC$ is divisible by $9$, $BCD$ is divisible by $11$, what is the value of $ABCD$?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules" ]
"2023-07-07T00:00:00"
f253907f9bdf4de3a6151819ae43b291
1
short_answer
A marble cake costs $$$2$$ more than a strawberry cake. A cheese cake costs thrice as much as a marble cake. A strawberry cake is $$$3$$. What is the price of $$2$$ cheese cake?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems" ]
"2023-07-07T00:00:00"
a3e35c4319ef4a119310524b050ec78f
1
short_answer
Bernard thinks of a number. When the number is divided by $$2$$, the remainder is $$1$$. When the number is divided by $$3$$, the remainder is $$2$$. When the number is divided by $$4$$, the remainder is $$3$$. When the number is divided by $$5$$, the remainder is $$4$$. It is less than $$80$$. 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"
5c92d8264b89439e9a8efcb1cde156d8
1
short_answer
$$10.256+9.2-7.51$$ =
[ "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Decimals->Subtraction of Decimals", "Overseas Competition->Knowledge Point->Calculation Modules->Decimals" ]
"2023-07-07T00:00:00"
0b1fff26446748ceb6d70df2d4c59f1f
2
short_answer
16teachers from Think Academy participate in a badminton tournament, where they are paired off to compete with single elimination rules (the loser of each game is immediately eliminated from the tournament). How many games will be played to determine the winner?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition" ]
"2023-07-07T00:00:00"
031f3635142c4421b05d4b2b576e071a
3
short_answer
(AMC 2016 Question \#27) In a family with two sons and two daughters, the sum of the children\textquotesingle s ages is 55. The two sons were born three years apart, and the two daughters were born two years apart. The younger son is twice the age of the older daughter. How old is the youngest child?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
776031bcc4e54790a7e85880c7273093
1
short_answer
If I treble a number and add $6$, I get the same answer as when I add $16$ to that number. What is my original number?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable->Solving Other Problems Using Equations" ]
"2023-07-07T00:00:00"
c7821793dd724577866140431e80753a
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"
07cca6d9086647059f61d49c4cc9e778
0
short_answer
What is the value of $$20+19+18+17+16-15-14-13-12-11$$?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
e3e500d971604e29aa0a14edf78c74f7
2
short_answer
$$2$$ similar wallets and $$3$$ similar watches cost $$$433$$. $$5$$ similar wallets and $$4$$ similar watches cost $$$701$$. How much does a wallet cost?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with Multiple Variables", "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions" ]
"2023-07-07T00:00:00"
3dff81f53f23452495bb29a705bf520f
1
short_answer
Given that $\frac37=\dot{4}2857\dot{1}$. Find the sum of the first $58$ digits after the decimal point in the decimal form of $\frac{3}{7}$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals" ]
"2023-07-07T00:00:00"
a2c8013f67c740bb813e2cff828c7cc3
1
short_answer
Eddie and his friends went jogging. Eddie ran $15$ km, Jenny ran $10$ km, and Jason ran $8$ km. How far did they run on average?
[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability", "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction", "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas" ]
"2023-07-07T00:00:00"
b6a2b577b4e5470188401b67b822af20
2
short_answer
There are $3$ same biographies, $4$ same science fictions, $2$ same magazines, and $2$ same practice books. Joe wants to put them in a line in his bookcase. How many different ways are there for him to put these books?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
1a4d0a08fad44f9ebb6ae96dbaae9f12
1
short_answer
Jane had $$32$$ ℓ of water more than Audrey. If Audrey had $$177$$ ℓ of water, how many litres of water did both of them have?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity" ]
"2023-07-07T00:00:00"
7b9c62b20e00466b99795e4987d051bd
1
short_answer
There are $$50$$ grams of a $$11 \%$$ sugar solution in bottle $$A$$ and $$50$$ grams of a $$47 \%$$ sugar solution in bottle $$B$$. How much solution can be exchanged between bottle $$A$$ and $$B$$ to make them have the same sugar concentration?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Solving Concentration Problems with Equations" ]
"2023-07-07T00:00:00"
e81380a3834146729a81c2bca69516e4
1
short_answer
Nick and Tom cut pieces of string. Nick's string is $$25\text{cm}$$ longer than Tom's. Tom's string is $$13\text{cm}$$ long. What is the difference in length between their pieces of string?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
"2023-07-07T00:00:00"
ee22231baefc4e1bace6954a18c6dfd1
1
short_answer
Eighteen of students in the class choose chicken tenders for lunch. There are $$50$$ students in the class. What is percent of students choose the chicken tenders?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
"2023-07-07T00:00:00"
8a1f5a78534245b78c14a7d808df202e
1
short_answer
A vegetable plot is $20$ metres long. Cauliflowers are planted in a row down the length of the plot. They are planted $40 \text{cm}$~apart and the first cauliflower is planted $20 \text{cm}$~from the end. How many cauliflowers can be planted in a row?
[ "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"
8589e072708949c4a1c18f959b68d739
0
short_answer
What is $$0.2\times0.3$$? ANSWER~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals" ]
"2023-07-07T00:00:00"
8d16df72513e48ce9cf5c5768ac94b3b
2
short_answer
How many different three-digit numbers can be made with cards that have $$1$$, $$3$$, and $$6$$ on them? (Cards can be rotated)
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
b00dd9facbe04160a2ed274649dd7571
1
short_answer
Fill in the box. $$8\times \square+3=75$$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations" ]
"2023-07-07T00:00:00"
dd2b5176641b47188cb8bc10cc18c3dc
1
short_answer
If we want to divide $15$ pieces of candy into $4$ piles with different numbers in each pile, how many different ways can we divide them?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers" ]
"2023-07-07T00:00:00"
003a17cf90624266bdfa006deb29cd68
1
short_answer
If a prime number that adds $6$ or subtracts $6$ is still a prime number, how many of these prime numbers can you find within $50$? Write them down.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers" ]
"2023-07-07T00:00:00"
c87b5329b55a4badb42841d47bba1a1c
2
short_answer
Lucy, Peter, Edmund and Susan shared £$120$. Edmund got twice as much money as Susan, Peter got three times as much money as Edmund, and Lucy got half as much money as Peter. How much money did Lucy get?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Multiple Variables" ]
"2023-07-07T00:00:00"
d45dd29337134aa9b9314275c5f2b31a
1
short_answer
What is $30 \%$ of $250$.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
"2023-07-07T00:00:00"
148b423200fd4f4f9cc3cfed406293e0
1
short_answer
Add together $3.7$~metres and$ 64 \rm cm $ and then subtract $2$~metres $7\text{c}m$. Give your answer in metres.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length" ]
"2023-07-07T00:00:00"
8ae8aebcd931414896cbbb9d92a27fa1
1
short_answer
A shop sells bananas and pears. Max buys $1$ banana and $2$ pears. He paid $94$p. Emily buys $1$ banana and $1$ pear. She paid $62$p. How much does $1$ banana cost?~\uline{~~~~~~~~~~}~p
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients " ]
"2023-07-07T00:00:00"
45d85cbefb344a0a875c5e59df47d4f3
1
short_answer
Write down the next number in this sequence $1, 2, 3, 5, 8, 13, 21, \cdots \cdots $
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)" ]
"2023-07-07T00:00:00"
0b1752605b164c48b0814af3beffe291
1
short_answer
$$19+23+19+22+20$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]
"2023-07-07T00:00:00"
0807a5b8035f428595efa3d05b37f60b
2
short_answer
There are 59 black rabbits, white rabbits and grey rabbits on the grassland. The total number of black and white rabbits is 11 more than the number of grey rabbits. The number of black rabbits is 9 less than the white rabbits. How many white rabbits are there?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples" ]
"2023-07-07T00:00:00"
560f55b2062d4bb393b7c4c68779398a
1
short_answer
A box contains $$48$$ pieces of fruit. Five eighths of them are apples and the rest of them are pears. How many pears are there?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
"2023-07-07T00:00:00"
ce41ebada23a4f4d8a127ded83c184fd
1
short_answer
In the sequence of numbers $1$, $2$, $4$, $8$, $16$, $32$, $\cdots \cdots$ ~what would be the answer if you divided the $20^{}\text{th}$ number in this sequence by the $17^{}\text{th}$ number in this sequence?
[ "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"
4de7bc9127b844c8845810ad2db2dd1b
1
short_answer
Given that the sum of two positive integers is $$35$$, find their largest possible product.
[ "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"
bdfb73d963c14ec7bac25b679d5d5735
1
short_answer
A cleaner earns an average of $$$70$$ a day. Find the total amount he earns in a week if he works from Monday to Saturday.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas", "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability" ]
"2023-07-07T00:00:00"
dc79304d4b074af798fdc304b00f1fe2
1
short_answer
Change $$4.6$$ minutes into seconds. Answer~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time" ]
"2023-07-07T00:00:00"
32f413ff728d481fb33f3ff50b93c6ce
1
short_answer
Alice, Becky, and Crystal have an average of 60 books. If count Dennis in, the average number of book the each person has increases by 10. How many books does Dennis have?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems " ]
"2023-07-07T00:00:00"
873caeb39b18425fa3cf21cb40505ac6
1
short_answer
A snail wants to climb out of a $$16-$$metre burrow. It climbs up $$5$$ metres during the day and slides down $$3$$ 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"
9eefa1dbad6349a090e42d50a09d87fd
1
short_answer
What is the product of the smallest two-digit prime number and the largest two-digit square number?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Questions involving Square Numbers", "Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers->Commonly Used Prime Numbers" ]
"2023-07-07T00:00:00"
515f9b66abd142d0bd65c4a91de0a79a
2
short_answer
Think Academy is organising a Sport Day. Teacher Nicole wants to place the flag along the field. She needs to make sure that the flag are place in a consistant distance between $$2$$ flags. Lucy is curious about the distance between $$2$$ flags. Techer Nicole tells her that the distance between the 1\textsuperscript{st} and 4\textsuperscript{th} flag is $$9\text{m}$$. What is the distance between the 1\textsuperscript{st} and 9\textsuperscript{th} flag?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting Trees only on One Side (straight line type)->Planting Trees on One Side" ]
"2023-07-07T00:00:00"
c852142aceb043f5b55cd004438cf7a6
1
short_answer
Darren has a box of $700$ beads. He uses $27$ beads to make one necklace. How many full necklaces can he make?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
53411c78458748e1ab1aa5ff7a2ef692
1
short_answer
John buys a Pikachu model, which is $$19.6\textasciitilde\text{cm}$$ height. Mike buys another Pikachu model with different height. The ratio of John\textquotesingle s model height to Mike\textquotesingle s model height is $$2:3$$. What is the height of Mike\textquotesingle s Pikachu model?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
00d0ef22036440bfba46cf90f1e51a5a
2
short_answer
Candy has $233$ chocolate bars and she wants to divide all chocolate bars to her students. Her smart student, Michael, finds that Candy cannot divide all chocolate bars to all students evenly. Is Michael correct or not? (The number of students is greater than $1$ and less than $233$.)
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers" ]
"2023-07-07T00:00:00"
6927ac3bb6f64f89b5830b5fccd79ae6
0
short_answer
I am a number with $$2$$ decimal places. The digit $$7$$ is in the hundredths place. The digit $$6$$ is in the tenths place. The ones place has a value of $$4$$. What number am I?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers" ]
"2023-07-07T00:00:00"
cf4d33bf77d24115a787173fb7fe030e
1
short_answer
A ship travels at a speed of $$22$$ km/h in still water. The speed of the current is $$3$$ km/h. How long will it take the ship to travel $$200$$ km downstream?
[ "Overseas Competition->Knowledge Point->Distance Word Problems->Travel Word Problems of Boats", "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
56d8daf28c984740b59bdb2fd77882d7
0
short_answer
Calculate the sum below. $$19 + 6 + 12 + 13 + 21 + 4 + 8 + 17$$
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
6801a3acc18c476f8557f9869fe2dd0a
1
short_answer
Eddie get 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"
6a0c0299b8e74741b435eee435724ca3
1
short_answer
At Think store, a pencil costs $2$ dollars and a pen costs $4$ dollars. Owen bought some pencils and Oscar bought some pens. If Owen wants to trade a pen from Oscar, how many pencils should Owen give Oscar?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios" ]
"2023-07-07T00:00:00"
63233813070f46b2ac40a6c1b5bc9b6c
1
short_answer
There are $10$ questions in a science competition. A person gets $6$ points for a correct answer and loses $2$ points otherwise (getting a wrong answer or skipping a question). Justin answers all the questions and gets $36$ points. How many questions does Justin answer correctly?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis" ]
"2023-07-07T00:00:00"
c824a5b0a4384dcc938f65073d4a8794
1
short_answer
Johnson is planning to go to France for his summer vacation. He can take either a train, a bus, or a plane. Each day there are $$4$$ trains, $$3$$ buses, and $$2$$ flights available. How many different ways can Johnson choose to go to France?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
3e88caa587c24fdea4f8a57b8dbd78f8
1
short_answer
$$9.95-2.6-3.412$$ =
[ "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Decimals->Subtraction of Decimals", "Overseas Competition->Knowledge Point->Calculation Modules->Decimals" ]
"2023-07-07T00:00:00"
30ec79644d524ec291def656fb45df08
1
short_answer
What are the last two digits of $888\times999$?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
d3732a99f6ef4521b3a6328c710459fd
1
short_answer
$78.2-31.45+5.245-2.3$=
[ "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Decimals->Subtraction of Decimals", "Overseas Competition->Knowledge Point->Calculation Modules->Decimals" ]
"2023-07-07T00:00:00"
1fd49a79b84a47ae801b6ede661a42f2
2
short_answer
An party has $7$ dancing and $3$ playing a sketch performances. Mike is deciding the order of these performances. If he wants to put at least $1$ dancing performance between every $2$ playing a sketch, how many different ways are there for him to arrange these performance?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
20389c4707d0488a9cd27afb2d7c45ed
1
short_answer
Given that $\frac{28512}{h}$ is a cube number, determine the value of $h$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Perfect Square Factorization" ]
"2023-07-07T00:00:00"
d8669bc3a70344f58225403abd0196e9
2
short_answer
SASMO 2017 Bart has an M\&M\textquotesingle s chocolate pack with 3 red M\&M\textquotesingle s chips, 4 yellow M\&M\textquotesingle s chips and 5 brown M\&M\textquotesingle s chips.Bart wants to get 2 M\&M\textquotesingle s chips of different colours without looking. What is the smallest number of M\&M\textquotesingle s chips he needs to take out to make sure that he gets what he wants?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
a5e7e019fb4d4c0080d3bb8fee16309b
1
short_answer
$$7$$ friends $$A$$, $$B$$, $$C$$, $$D$$, $$E$$, $$F$$ and $$G$$ went for dinner together. In the restaurant, there was a round table with $$7$$ chairs labelled with each of their names. They entered the restaurant in a random order. Each person will always choose not to sit on their own chair where possible. How many different possible ways of seating are there?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating" ]
"2023-07-07T00:00:00"
688bd3546a274323aedfd728fc91d0e1
1
short_answer
Thinkhub holds a welcome party for the new term. Ten families attend this party, and each family has a father, a mother and a child. Each father shakes hands with all the people from other families. Each mother only shakes hands with all the fathers and children from other families. Each child only shakes hands with all the fathers and mothers from other families. How many handshakes occur among these $$10$$ families?
[ "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"
980c93de91ea458b9c9e8248ad74e8b5
1
short_answer
Calculate: $$31415926^{2}-31415927 \times 31415925$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula->Applying Difference of Two Squares Formula Reversely" ]
"2023-07-07T00:00:00"
e7684856f58240ceb07efec4b2d70e70
1
short_answer
Counting from the front, Mark was the $${{8}^{\text{th}}}$$ in a queue. Helen was the $${{9}^{\text{th}}}$$ from the end of the queue. There were $$6$$ children between Mark and Helen in the queue with Mark in front of Helen. How many children were there in the queue?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of Two Characters in a Line" ]
"2023-07-07T00:00:00"
b4bdf164e10c4b1b9d4e3c8fbc8fb268
2
short_answer
How many $3$ digit numbers are there where all $3$ digits are odd?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers" ]
"2023-07-07T00:00:00"
6601fcfffa994bc9b56b9f035024b14a
1
short_answer
In the decimal part of $$0.\dot{8}527\overset{\centerdot }{\mathop{4}} ,$$, what is the $79\text{th}$ digit?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals" ]
"2023-07-07T00:00:00"
af4a763c71d14bfc86469b27fffda5d7
1
short_answer
Add $$2009$$ to a three-digit number so that it is divisible by $$17$$ and $$19$$, what is the largest of the three-digit numbers added?
[ "Overseas Competition->Knowledge Point->Number Theory Modules" ]
"2023-07-07T00:00:00"
a082a5ee490e4087b147b853ed2e0705
1
short_answer
In the college parking lot, each employer is allotted $40$ free hours of parking per week. After that, they pay $5$ dollars per hour up to $50$ hours, $8$ dollars per hour from $50$ hours to $60$ hours, and $15$ dollars for each hour after that. An employer received a parking bill of $82$ dollars for the week. How many hours did he park his car in the parking lot?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing" ]
"2023-07-07T00:00:00"
700ddae7c261440e8dfef14d11e42592
1
short_answer
The page numbers of a book are $$1$$ to $$62$$. Tim adds up the $$62$$ page numbers. In his calculations, he misses a page number and the sum is $$1939$$. What is the missing page number?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences" ]
"2023-07-07T00:00:00"
87f7b53af1c7449bb3a1c8c021923671
1
short_answer
There are $$4$$ red, $$7$$ green, $$6$$ blue and $$2$$ orange marbles in a bag. Jane is blindfolded. At least how many marbles must be drawn to ensure that there are $$4$$ different coloured marbles?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems" ]
"2023-07-07T00:00:00"
18a332d1534047ebbe0fc807217bdfa9
1
short_answer
At my local greengrocer, you take a ticket from the machine and wait until your number is called. The roll of tickets goes from 000 up to 999. When I was there last week with my neighbour, we took two tickets in a row and our two numbers added to 777. What was the next ticket number after ours?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
c73a9fe2a1a84b32b28f07fc9fc2e630
2
short_answer
Jimmy wants to climb up a flight of stairs with $$10$$ steps. He can either climb one, two or three steps at a time. However, he has to avoid the fifth step on the stairs as it is muddy. How many different ways can he climb up these $$10$$ steps?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering" ]
"2023-07-07T00:00:00"
1b42b4b26b2a4a84918723d849472aa1
1
short_answer
You bought a car for $20,000$ dollars. The car depreciates at the rate of $10 \%$ per year. Find the value of your car after $5$ years. ($1.1^{5} \approx 1.61051$ and $0.9^{5}\approx0.59049$)
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
8b84d4c8e6d6433bb169eac92ff0c74c
1
short_answer
Change~$\dfrac{5}{16}$ into a decimal.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals" ]
"2023-07-07T00:00:00"
031cd0de1ee64e169848ce69d7f5b3ca
2
short_answer
Sam wants to place a fence all around his garden, which is shaped like a rectangle. The garden is 5m long and 3 m wide. What is the total length of fence that Sam will need to place around his garden?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
71b17521447249e196a0f8b18fb89aa3
1
short_answer
James earns an average of £$$60$$ a day. Find the total amount he earns in a week if he works from Monday to Sunday.
[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability", "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas" ]
"2023-07-07T00:00:00"
5fdb62b3b2ec43a38c6fad9527ab2e7c
2
short_answer
Find $x$.$5x-2x+7=6x+4x-14$.
[ "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"
d756434ccb6b454cbe50d5d2de90751a
1
short_answer
Which number is one hundred less than three thousand and sixteen?
[ "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"
fcad283a7a1f427793d6d2d9b3d1a441
1
short_answer
The total of five different, positive odd numbers is $85$. What's the most that the largest number could be?
[ "Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values" ]
"2023-07-07T00:00:00"
d767cbc2899b42849970436783d686bb
1
short_answer
$23.2 - 14.7$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals" ]
"2023-07-07T00:00:00"
2d070af2dcd74f2ca39de8161148fb7d
1
short_answer
In Think State, the income tax is calculated at $$T \%$$ of the first$$$30,000$$ in annual income. The income tax of any amount above $$$30,000$$ is taxed at a rate of $$\left( T+3 \right) \%$$. Ryan noticed that the income tax he paid amounted to $$\left( T+1 \right) \%$$ of his annual income. What is his annual income?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Tax Problems" ]
"2023-07-07T00:00:00"
fec0efe56cd043f2ae93914883589ff6
1
short_answer
Circle the number in the list below which is closest in value to $$1$$. \textbf{$$0.993$$~ ~ ~ $$1.006$$~ ~ ~ $$1.1$$~ ~ ~ $$0.94$$~ ~ ~ $$0.99$$}
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals" ]
"2023-07-07T00:00:00"
e8e9b50054f946dcb1b7e07440b9d29f
1
short_answer
A ship travels at a speed of $$88$$ km/h in still water. The speed of the current is $$12$$ km/h. How long will it take the ship to travel $$500$$ km downstream?
[ "Overseas Competition->Knowledge Point->Distance Word Problems->Travel Word Problems of Boats", "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
40d0f97fc5af4ba79f1e1007a926a66b
0
short_answer
\textbf{$$n$$~}is the number of seconds in two and a half minutes. \textbf{$$n=$$~\uline{~~~~~~~~~~}~}
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time" ]
"2023-07-07T00:00:00"
e23c6ff29b964509baa268af08cccfb5
1
short_answer
There were twenty-one $$20$$$-$cent and $$50$$$-$cent coins in my piggy bank. Their total value was $ $6.30$. How many $$50$$$-$cent coins do I have?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
16aa6cb964434e138d37f5f5467ea1c6
2
short_answer
Alan and Phillip start at the same time and walk from $A$ to $B$. It takes Phillip $12$ minutes to arrive at $B$. Phillip walks $15$ meters more than Alan does per minute. Given that Phillip arrives at $B$ $3$ minutes earlier than Alan does, find the distance between $A$ and $B$.
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
a04912e5c32e426a9c96bc96e65c469c
1
short_answer
213 coins are shared equally among 5 children. How many coins are left?
[ "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"
a7ab5e95b20b449aae26b7bc5ce0f53b
2
short_answer
There are $20$ students in a group, including $8$ girls and 12 boys. Teacher wants to pick 4 girls and 3 boys to participate in the competition. How many different ways are there?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations" ]
"2023-07-07T00:00:00"
f3b90fc112134c11bf16c053ec5b9bb5
1
short_answer
How many perfect square numbers are there in $$2, 25, 255, 2555, 25555\cdots $$?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers" ]
"2023-07-07T00:00:00"
0dcc886d48d14da3a0ba1c786f23c05c
1
short_answer
Alice and Tom each had some money. After Alice spent $$$36$$, she had $$$25.40$$ less than Tom. If Tom had $$$68.10$$, how much money did Alice have at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems" ]
"2023-07-07T00:00:00"
e4cf51421424479896c2cc37d2e05235
1
short_answer
The mean (average) of five numbers is $28$.~ The mean of a different set of twelve numbers is $11$. Calculate the mean of all of the numbers together.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]
"2023-07-07T00:00:00"
1dc393d01ecf4792b3b72098c4cdff99
0
short_answer
A book usually costs £$$15.40$$ but it is reduced by $$20 \%$$. How much does it cost now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
"2023-07-07T00:00:00"
d3a5ba15a4034a49afce92beb5409bf9
1
short_answer
There are $$9$$ benches in the park, which have the same length. They are placed on one side of the road every $$7$$ meters from end to end. Given that the length of the road is $$74$$ meters, how long is the bench?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides" ]
"2023-07-07T00:00:00"
a16e80d24e034bddb8280d950f5a08b1
3
short_answer
Miss Jenny is separating some candies for class A and class B. If each student in class A gets $4$ candies, $20$ more candies are needed. If each student in class B can get $6$ candies, there will be $16$ candies left. It is known that the number of students in class A is twice of class B. How many candies does Miss Jenny have?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems" ]
"2023-07-07T00:00:00"
9bb5ada2b3c4496bbf433bd138e2e0ae
2
short_answer
Peter defeated an octopus bugbear by cutting off all its arms. Once he cut off $5$ of the octopus\textquotesingle{} arms, one new arm would immediately grow. In total, Peter cut $21$ arms. How many arms did the octopus bugbear have originally?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems" ]
"2023-07-07T00:00:00"
0f7063d1e1484313ab5cf6b5f0420c06
1
short_answer
Given that $$10$$ different whole numbers add up to $$2021$$, and the $$3$$\textsuperscript{rd~}greatest number is $$246$$. What is the minimum value of the $$4$$\textsuperscript{th~}greatest number?
[ "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Obtaining Maximum/Minimum Values " ]
"2023-07-07T00:00:00"
c8155e9c63f74065a3befe7a41ec8e68
1
short_answer
There are $$6$$ gold and $$6$$ silver coins in a wallet. Without looking into the wallet, at least how many coins must be taken out so that there will definitely be $$2$$ \uline{different} coloured coins?
[ "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
4b28c12170034843abf93f81771140af
1
short_answer
The distance from the $1$\textsuperscript{st}~tree to the $5$\textsuperscript{th}~tree is $20$ cm. What is the distance from the $8$\textsuperscript{th}~tree to the $14$\textsuperscript{th}tree?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems" ]
"2023-07-07T00:00:00"
c4a0044218d4459486aeded38095d16e
1
short_answer
How many of the natural numbers from $$1$$ to $$24$$ can be selected at most to form a circle such that every two adjacent numbers are not mutually exclusive ?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
ea360eacf521407f98ff8b5280ab0671
3
short_answer
A textbook has $$510$$ pages and it is numbered from $1$ to $$510$$. The digit $5$ is printed~\uline{~~~~~~~~~~}~times in numbering this textbook.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem" ]
"2023-07-07T00:00:00"
ceb847740b284e4291e28c8612c7623e
1
short_answer
Jasmin can ride a bike at a constant speed of $60$ meters per minute. How many meters can she ride in $150$ seconds?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
b2c8b37b16bc4b09830fda1738de61da
1
short_answer
Calculate: $$38\times 32+37\times 33+36\times 34$$
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication" ]
"2023-07-07T00:00:00"
a7d31aaf346e44cc80aea145f699fb6c
1
short_answer
Qing Qing has $$6$$ more sweets than Kevin. Kevin has three times as many sweets as Pip. Pip has $$7$$ sweets. How many sweets do they have in total?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
81817e35e8504d14a4853709b3f0f4bc
1
short_answer
Devi is $$8$$ years older than Jerry. In $$4$$ years\textquotesingle{} time, the ratio of their age will be $$5:7$$. What is the age of Jerry now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units" ]