dataset_version
unknown
queId
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32
32
difficulty
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5 values
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1 value
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6
2.89k
knowledge_point_routes
sequence
"2023-07-07T00:00:00"
982d68ff78fb4d07914cf20c9a917bb2
1
short_answer
There are $$235$$ pupils in Room $$A$$ and $$567$$ pupils in Room $$B$$. A teacher transferred some pupils from Room $$B$$ to Room $$A$$ such that both rooms had the same number of pupils in the end. How many pupils were there in each room after the transfer?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving", "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability" ]
"2023-07-07T00:00:00"
faaa8deed0db48a0b6707146113de1c2
1
short_answer
Caiculate: $$818-271-18+64-29+36$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]
"2023-07-07T00:00:00"
27bdd20547f24d8985bedec355b3bcb2
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"
b0db81c8fe684031982ca97bbbbe4f6c
1
short_answer
After Ryan spent $$$89.65$$ on a badminton racket, he had $$$20.35$$ left. How much money did he have at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction" ]
"2023-07-07T00:00:00"
bfc856ed693948c5bc8692af12953e1d
2
short_answer
There are $$12$$ points on a circle such that the distances between adjacent pairs of points are all equal. How many right angled triangles can be formed by joining any $$3$$ of the points?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Counting the Number of Figures->Counting Figures by Using Multiplication" ]
"2023-07-07T00:00:00"
fe9555e52b6940b58bc0240731da3d6c
1
short_answer
A sequence of numbers is formed by always adding the same number to get the next number in the sequence. The $10^{th}$~number in the sequence is $23$ and the $15^{th}$~number is $38$. What is the $12^{th}$~number?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence", "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences" ]
"2023-07-07T00:00:00"
e25bc60d63ca444999ac89d8eb2ef5f4
1
short_answer
Calculate: $$\frac{1}{1\times 2}+\frac{2}{2\times 4}+\frac{3}{4\times 7}+\frac{4}{7\times 11}+\frac{5}{11\times 16}+\frac{6}{16\times 22}+\frac{7}{22\times 29}+\frac{1}{29}$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
1b578ba89dc64a0497a494ff8c376cf1
1
short_answer
At the school scavenger hunt, class $A$, $B$, $C$ each has $24$, $36$, $42$ 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"
caef56015c2546c787649e8de4983b71
3
short_answer
Calculate: $$200+199-198-197+196+195-194-193+192+191-190-189+\cdots \cdots +4+3-2-1=$$.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction" ]
"2023-07-07T00:00:00"
f920596541b54c59bae5257c1fa6effd
1
short_answer
There are $$200$$ children in a school. They pay for their school lunch which costs $$ $4.36$$ each day. How much did they pay in total for their school lunch over a period of $$5$$ days?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
513db53d54374f00afb65d6d0f973de3
1
short_answer
There are $20$ questions in a science competition. A person gets $5$ points for a correct answer and loses $3$ points otherwise (getting a wrong answer or skipping a question). Justin answers all the questions and gets $76$ 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"
c502fd8bef51420684df77fd33225144
0
short_answer
Work out the following: $\dfrac{3}{8}$~of~$16\text{kg}$~.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions" ]
"2023-07-07T00:00:00"
fc6d0ef4b64c44a4900d03d68cbc4621
2
short_answer
A product is marked at $$20 \%$$ above the cost price. It is then sold at $$90 \%$$ of the selling price. The profit is $$ $120$$. What is the cost price of this product?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems" ]
"2023-07-07T00:00:00"
e45242e744df43f9909a012add8cd759
1
short_answer
There are $$128$$ sheep on a farm. $$\frac{5}{8}$$ of them are black, $$\frac{1}{4}$$ of them are white and the rest are brown. How many of the sheep are brown?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages" ]
"2023-07-07T00:00:00"
8e0574e136cb4a76abf5378d8154a43a
0
short_answer
A special meal costs £$$27.60$$ per person. How much will a group of $$38$$ people have to pay?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
e9e3eafe8b3e48d3b2a71156f1fe9aae
1
short_answer
There are $$25$$ table tennis balls in $$5$$ boxes of the same type. There are the same number of table tennis balls in each box. How many table tennis balls are there in $$6$$ boxes of the same type?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value" ]
"2023-07-07T00:00:00"
b84b9d049f3944a6a3fec6f34b08dcdd
1
short_answer
Solve the absolute value equation: $\textbar x+1\textbar=2x+5$
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
1f71711a37ba41f19b391be626ee7d84
1
short_answer
Put four different colored socks in a row at home. How many different ways are there to arrange them? Put two different colored pairs of socks in a row. How many ways are there now? Think about why you get two different numbers.
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations ", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
63250d13de624f798109236462057294
1
short_answer
What number is half way between $13.8$ and $18.6$?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]
"2023-07-07T00:00:00"
3d56a142b7734cae80fcd6db270a1a50
1
short_answer
If $$\overline{ab}+ \overline{ba}+b= \overline{aab}$$, find $$a+b$$.
[ "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
cc66abc29793482fb9eb2797063a599e
1
short_answer
$7\times4\times37=$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]
"2023-07-07T00:00:00"
2a26499da5b34ec8944d958d53314106
1
short_answer
$9\times59=$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]
"2023-07-07T00:00:00"
273702e9fdfb4478a973714e3892e8a8
1
short_answer
Four people meet to discuss a new swimming competition. Each person shakes everyone else's hand exactly once. How many handshakes are there in total?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition->Number of Handshake Problem" ]
"2023-07-07T00:00:00"
336b55c1b98a494a8fcdec5a76129b58
2
short_answer
There are ten points on the circumference of a circle. How many triangles can be formed by using any three points as their vertices?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations" ]
"2023-07-07T00:00:00"
a3e7cbd795a9409dbf490a20013698fc
2
short_answer
Andre and Beth both had a total of 24 sweets. After their teacher gave them 4 sweets each, Andre now has 6 sweets more than Beth. How many sweets does Beth have now?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems" ]
"2023-07-07T00:00:00"
b6b88edeb93e4d9cb9b8b1211d07bf53
2
short_answer
Work out $$246\times507$$ Answer:~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Fast Multiplication and Division of Whole Numbers->Products of Special Multipliers" ]
"2023-07-07T00:00:00"
ebaac819520a41bea5853ed02b80e219
1
short_answer
How many terms are there in the sequence below? $$4$$, $$7$$, $$10$$, $$13$$$$\cdots \cdots $$$$121$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences" ]
"2023-07-07T00:00:00"
b9605682663c4e549e208dbbe926ff31
1
short_answer
Anthea and Ben are playing a game. Here are the rules: 1. There are $18$ apples placed on the table. 2. They each take turns removing apples. In each turn, the player must remove $1$, $2$, or $3$ apples. 3. The player who removes the last apple wins the game. If Anthea goes first, how many apples should she take in the first turn so that she can make sure she will win the game?
[ "Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy" ]
"2023-07-07T00:00:00"
de94f3e9046049bda163af8199fad009
1
short_answer
The total mass of $$3$$ tables is the same as the total mass of $$4$$ chairs, The mass of a table is $$2\text{kg}$$ heavier than a chair. Find the mass of a table.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions" ]
"2023-07-07T00:00:00"
fa9cbee13c99485d8303b1f5e6225e5c
0
short_answer
(UK Emanuel School Entrance Examination Year $7$ Entry Question \#$18$) In the British Army there are~$4500$~men who are taller than~$180\text{cms}$. Of these~$750$~are taller than~$190\text{cms}$. How many men are these who are between~$180$~and~$190\text{cms}$~tall?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
"2023-07-07T00:00:00"
27eb9e5bd22f43eba7fb2e1a0973e1ba
1
short_answer
Judy and her five friends stand in a line to perform on stage. Given Judy wants to stand on either end of the line, in how many different ways can they perform?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
015af54f56854424960c5b919f820761
1
short_answer
Andre and Beth both had a total of $24$ sweets. After their teacher gave them $4$ sweets each, Andre now has $6$ sweets more than Beth. How many sweets does Beth have now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
af2115488bfc4cbfbf5f5ebb0bff2bef
1
short_answer
If $6$ bars of chocolate cost £$3.18$, how much do $5$ bars cost?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation" ]
"2023-07-07T00:00:00"
e4f74093db054f9a9afeb2f53b05b7d1
1
short_answer
What is the sum of the following numbers? $$9 + 12 + 17 + 18 + 21 + 23 =$$
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication" ]
"2023-07-07T00:00:00"
6e7fd510bdaa4c41b99c4531bc548e9a
1
short_answer
In a Formula 1 car race, a Ferrari driver started th e last place. However, throughout the race, the Ferrari driver overtook 5 other cars and finished in second place. How many cars were there in the race?
[ "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning" ]
"2023-07-07T00:00:00"
c1faa5b5faaf44929efa78451a63ff75
2
short_answer
I\textquotesingle m thinking of a number. I take away $6$ and then divide the result by $12$. The answer is $2$. What is the number I am thinking of?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations" ]
"2023-07-07T00:00:00"
ab627271938f40748d9acac110c92172
3
short_answer
Two sisters did maths and English together. The elder sister spent $$10$$ minutes more on maths than the younger sister, while the younger sister spent $$4$$ minutes more on English. It was known that the elder sister spent a total of $$88$$ minutes on her homework, while the younger sister spent $$12$$ minutes less on her maths homework than on her English homework. How many minutes did it take the younger sister to do her English homework?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference" ]
"2023-07-07T00:00:00"
539a3a5cc52d4011bfeede240f8dd840
0
short_answer
In English, words like EVE, MADAM, KAYAK and LEVEL are called PALINDROMES, ~because they read the same from left to right as they do from right to left. In mathematics, numbers like $$747$$, $$5555$$, $$11911$$, and $$2378732$$ are called PALINDROMIC NUMBERS for the same reason. How many palindromic numbers are there between $$1000$$ and $$9999$$? (PLEASE REMEMBER TO SHOW US YOUR WORKING SO THAT WE CAN SEE HOW YOU ARE GETTING YOUR ANSWER, AND MAYBE BE ABLE TO AWARD YOU SOME PART-MARKS EVEN IF YOUR~~ANSWER IS WRONG). Answer :~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration" ]
"2023-07-07T00:00:00"
6dc506c916024720a5dab28d29fdcb33
2
short_answer
The average of four numbers is 130 . If a number of the four numbers is removed, the average of the three numbers will become 110 . The number which is removed is~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems " ]
"2023-07-07T00:00:00"
f8f8aec9479848be90565270cd0b38f4
1
short_answer
The Authority of Roads have decided to use a new system on traffic lights. The traffic lights are arranged such that $3$ traffic lights are supposed to turn green at the same time every $9$ minutes. The first traffic light changes lights every minute, the second traffic light changes lights every $1.5$ minutes. Determine the shortest time the third traffic light has to change by, considering that it to at least be $30$ seconds or longer.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples" ]
"2023-07-07T00:00:00"
43c61058429c4fe489d7c947a01763c2
2
short_answer
Leo and Mia are playing a game. Here are the rules: 1. There are $$14$$ apples placed in a row. 2. The players take turns removing either $1$ or $2$ apples each turn. 3. Whoever picks the last apple wins the game. Leo starts first and is followed by Mia. To ensure his victory, how many apples must Leo take away in the first turn?
[ "Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy" ]
"2023-07-07T00:00:00"
bbd5dd551d4b4d7abc9f239251339ad1
2
short_answer
Nick\textquotesingle s 12 silver spoons have three quarters the value of Pilpha\textquotesingle s 6 gold rings. How many silver spoons have the same value as 3 gold rings?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation" ]
"2023-07-07T00:00:00"
9c9e21c3a7444569afbadf1e30e09b81
2
short_answer
Students from Think Primary School are arranged in a square array with equal row spacing and column spacing on a playground. The outermost layer of the array is full of boys, and its adjacent inner layer is full of girls, then boys, then girls, and so on until the innermost layer is reached. If there are $55$ more boys than girls in total, please find the total number of students.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares" ]
"2023-07-07T00:00:00"
a7eb63b14ee740bca350f5e3f57ea487
1
short_answer
The cost of $$3$$ pencils and $$2$$ markers is $$ $13$$. The cost of $$2$$ pencils and $$3$$ markers is $$ $12$$. What is the total cost of $$7$$ pencils and $$7$$ markers?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems->Replacement of Equivalent Substitution" ]
"2023-07-07T00:00:00"
dca6b59a57004164891b83c2be747227
1
short_answer
A whiteboard marker cost $$$3$$. A paintbrush cost $$$1$$. A teacher paid $$$28$$ in all for $$12$$ paintbrushes and whiteboard markers. How many whiteboard markers did the teacher buy? Hint: Make an Assumption (Assume either all whiteboard markers or all paintbrushes.)
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis" ]
"2023-07-07T00:00:00"
a29766e9a35b4cf986fe192653492fb5
1
short_answer
The average weight of all the teachers in Star School is $65$. There are $3$ male teachers in Star School with an average weight of $75$. The average age of female teachers is $60$. There are~\uline{~~~~~~~~~~}~female teachers.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems " ]
"2023-07-07T00:00:00"
0a147c77462a47acad9d599e3c92987b
0
short_answer
Work out $$527-382$$. ~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers" ]
"2023-07-07T00:00:00"
cf55459e46844705ab8a79455735ac26
1
short_answer
The school cheerleading teams lined up in a rectangular formation. Cora is standing the $$5^{th}$$from the front, $$7^{th}$$ from the back, $$2^{nd}$$ from the left and $$4^{th}$$from the right. How many students are involve in this rectangular formation?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing" ]
"2023-07-07T00:00:00"
e357740e701e49a8ac92bfcd275f4557
1
short_answer
The product of $$33\times 55\times m$$ is a square number. Find the smallest possible value of~ $$m$$.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers" ]
"2023-07-07T00:00:00"
a40fe8c3642a46819ca618c1a9afcf63
1
short_answer
Ashley is dividing $8$ identical pieces of candy into three plates. Each plate has at least $2$ pieces. How many different ways are there for Ashley to divide?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
58c3353b6ce0476d96bec02a41fe9aa6
1
short_answer
$40\times700$
[ "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"
f6a6b8973f3d4d1ca73c2a8e344b2022
1
short_answer
Star and four of her teammates are competing in a $$5$$ person relay. If Star must be the first runner, how many ways can the five teammates arrange themselves in the race?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication" ]
"2023-07-07T00:00:00"
307081f49a1647b9bb92dfaffe694842
2
short_answer
A four-digit integer has its digits increasing from left to right. When we reverse the order of the digits, we obtain a four-digit integer whose digits decrease from left to right. A third four-digit integer uses exactly the same digits, but in a different order. The sum of the three integers is $$26 352$$. What is the value of the smallest of the three integers?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value" ]
"2023-07-07T00:00:00"
384faa4ecc0e47d79e49dfce00412c19
2
short_answer
The operation $$\otimes$$ acts on two numbers to give the following outcomes: $$2 \otimes 4 = 44$$ $$5 \otimes 7 = 104$$ $$1 \otimes 5 = 28$$ $$7 \otimes 10 = 146$$ What is $$6 \otimes 12$$ equal to?
[ "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning" ]
"2023-07-07T00:00:00"
9e57bb3e87064594be7261beeaf4f749
2
short_answer
It takes $$60$$ minutes to cut a piece of wood into $$31$$ segments. If the cutting speed remains the same, how long does it take to cut it into $$50$$ segments?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems" ]
"2023-07-07T00:00:00"
8fc55209039645f08e1579f51727eae8
1
short_answer
Dividing a certain number by $$3$$ leaves a remainder of $$1$$; dividing it by $$5$$ leaves a remainder of $$3$$; dividing it by $$7$$ leaves a remainder of $$5$$. Given that the number is between $$100$$ and $$200$$, what is its possible value?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem" ]
"2023-07-07T00:00:00"
dba8f63335da404e874ce5fc77d842f3
1
short_answer
Work out $$123-41=$$ ANSWER~\uline{~~~~~~~~~~}~
[ "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"
cbeeb3a46e374ddca0fda082575458fb
1
short_answer
A number minus $$30 \%$$ of itself is $$210$$, what is this number?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
"2023-07-07T00:00:00"
55fb13e55caf41cc8779e7ea0146667d
1
short_answer
Palindrome years (like $$1991$$ and $$2002$$) read the same forwards and backwards. The years $$1991$$ and $$2002$$ are $$11$$ years apart. How many years apart are $$2002$$ and the first palindrome year after $$2002$$?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time" ]
"2023-07-07T00:00:00"
ac8cb9cc0d5443de91ca6e628f69e729
2
short_answer
Candy and Nancy have some flowers. At the beginning, Candy had $$11$$ flowers, and Nancy had $$9$$ flowers. After Candy gave some flowers to Nancy, Nancy has $$8$$ more flowers than Candy. How many flowers does Candy have now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Sum and Differences Problems with multiple Variables" ]
"2023-07-07T00:00:00"
a2bde406a8da4970a219afa0022bd89d
1
short_answer
In how many ways can the letters in the word \textquotesingle ARRANGE\textquotesingle{} be arranged?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
b686e2f0e98042d783104bb0e8f6ac9a
1
short_answer
Seesaws cost £$$200$$ each in January $$2010$$. In January $$2011$$ they had gone up by $$45 \%$$. Calculate how much a seesaw cost in January $$2011$$.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
"2023-07-07T00:00:00"
98be2cb5dcce45168975297b4f076410
1
short_answer
Mike\textquotesingle s Mum gave him $$60$$p and his Dad gave him $$40$$p on Monday. They gave him the same amount of money on Tuesday and Wednesday. How much money did George have altogether?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
"2023-07-07T00:00:00"
3737e4a9ac8f48808137f02833fa17bc
1
short_answer
Find the missing $$3$$ digit number in this calculation: ???$$\div24= 36$$. ~\uline{~~~~~~~~~~}~
[ "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"
4d111600431f40ce98fbddc8a64d1e36
0
short_answer
$$60-8(2x-5)=4$$.$x=$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable" ]
"2023-07-07T00:00:00"
3dcee099b86f42178f5a693ab97c5bce
1
short_answer
The temperature at midnight on Friday was~$-5^{°}\text{C}$ and at midday on Saturday was $$17^{°}\text{C}$$. What was the overall temperature change?
[ "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"
1b443edab3c147249e25ac875c4f6ab7
0
short_answer
If you continue the sequence $1$, $2$, $4$, $7$, $11$, $16$, $\cdots \cdots$ write down the smallest number which is greater than $50$.
[ "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"
5c90212721354a48a4e81ec2a43c81bc
1
short_answer
Pens cost $43\rm p$ and booklets cost £$1.85$ How much change will I get from £$10$ if I buy $3$ pens and $4$ booklets?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation" ]
"2023-07-07T00:00:00"
87e1f465cdbb4df7b961ae79f361a0c3
1
short_answer
Sibel is waiting in line to buy a ticket. There are $$10$$ people in front of her. Counting from the back, she is in the $$14$$\textsuperscript{th}~place. How many people are there in total lining up?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
55a229942e9e41f3a62e0880d02b5241
1
short_answer
Work out $10 + (10 \times 10) - (10 \div 10)$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations" ]
"2023-07-07T00:00:00"
f8c6ec11093d496198cb0de06c6908ee
0
short_answer
Write the population of St Petersburg in figures.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers" ]
"2023-07-07T00:00:00"
a24bbb90466f45bb817f8a9fa98063a4
2
short_answer
A $$3$$-digit integer is called a \textquotesingle X-number\textquotesingle{} if any two adjacent digits differ by at least $7$. How many $$3$$-digit \textquotesingle X-numbers\textquotesingle~are there?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
054c2ee09a60448ebda4bd6602806b2b
2
short_answer
A $$4$$-digit integer is called a \textquotesingle d-number\textquotesingle{} if the thousands digit is divisive by all the other digits. For example, $6231$ is a \textquotesingle d-number\textquotesingle{} because $6$ is divisible by $2$, $3$ and $1$. How many $$4$$-digit numbers larger than $5000$ are \textquotesingle d-numbers\textquotesingle?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
16105156e2914d5a8990c9b24f0b9981
1
short_answer
What is the third prime number?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Prime Factorization (Equations)" ]
"2023-07-07T00:00:00"
4d1598c9ff7f4502a10cb35d69667abd
1
short_answer
A school gate needs the correct combination of four digits in the correct order. When $$5648$$ is tried, two digits are wrong. When $$3628$$ is tried, two digits are wrong. When $$3147$$ is tried, two digits are wrong. When $$5629$$ is tried, two digits are still wrong. When $$1258$$ is tried, \uline{all} the digits are wrong. What is the correct combination of digits?
[ "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning " ]
"2023-07-07T00:00:00"
a736c91b54064c40a00c4a922d2dc285
1
short_answer
$$(\textasciitilde\textasciitilde\textasciitilde\textasciitilde+7)\div9=9$$
[ "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"
392cb5c0bb804c05baec15996d6881df
1
short_answer
A number of children are stood, evenly spaced, in a circle. If the $4$th child is opposite the $22$nd child, how many children are in the circle?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Circular Queues" ]
"2023-07-07T00:00:00"
27de9be9ab0d46f5a9881ef33bd601fa
1
short_answer
Selena likes collecting coins. She collected $$10$$ coins in the first week, $$14$$ in the second week, $$18$$ in the third week, and $$22$$ in the fourth week. According to this pattern, how many coins has she collected during the first ten weeks?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences" ]
"2023-07-07T00:00:00"
f3b1467c46654ba18779b73ec862809e
1
short_answer
Gina had $4$ times as many dresses as Fiona. Lily had twice as many dresses as Gina. If Lily had $24$ dresses, how many dresses did Gina and Fiona have altogether?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion" ]
"2023-07-07T00:00:00"
c8f6e26082ce4b84bed3069a498d5034
1
short_answer
Work out~$0.8\times3\times10$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals" ]
"2023-07-07T00:00:00"
e3c3e3c1805842db862f14a943f7260b
2
short_answer
The marks scored by students $$A$$, $$B$$, $$C$$, $$D$$ and $$E$$ in a mathematics test are above $$91$$. $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$The average mark of $$A$$, $$B$$ and $$C$$ is $$95$$. $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$The average mark of $$B$$, $$C$$ and $$D$$ is $$94$$. $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$$$E$$\textquotesingle s mark of $$96$$ ranks as the second highest among all. $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$$$A$$ has the highest mark. $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$$$B$$ and $$D$$ have the same score. How many marks does $$D$$ score in the mathematics test?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)", "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability" ]
"2023-07-07T00:00:00"
ad676d9c940642cbac148da8b2a9a501
2
short_answer
Bella deposited $$$35 000$$ in a fixed deposit account which paid her an interest of $$1.5 \%$$ per year. After a few years, the amount of money in the bank became $$$37 100$$. $ $ Bella said that the number of years she saved is $$5$$. $ $ Is she right or wrong? If she is wrong, how many years did she actually save her money in the bank?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems" ]
"2023-07-07T00:00:00"
52696ab5f8494de9be7eed46df374cc7
1
short_answer
The average weight of all the teachers in Star School is $65$. There are $3$ male teachers in Star School with an average weight of $75$. The average age of female teachers is $60$. How many female teachers are there?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems " ]
"2023-07-07T00:00:00"
bcb4d3a73bdd461db258bc9c024573c1
2
short_answer
The mass of a jar $\dfrac{1}{4}$~full of Marmite is $$250\text{g}$$. It has a mass of $$350\text{g}$$ when it is $\dfrac{3}{4}$full. What is the mass of the empty jar?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
"2023-07-07T00:00:00"
f95f09c885d34503865d05cffe9b4ae0
1
short_answer
Garrett bought $13.15\ell$ of soda and poured all of it into a bucket. He used part of it to fill $\frac{1}{7}$ of an empty bottle that had a capacity of $9.1\ell$. Then, he used some of the remaining soda to fill $4$ cups of $350\text{ml}$ each completely. How much soda did he have left in the bucket in the end? Express your answer in litres.~\uline{~~~~~~~~~~}~$\ell$
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
5072d7c5f2434099ac2734046be03e0f
2
short_answer
$$6$$ years ago, father\textquotesingle s age is $$5$$ times of his son\textquotesingle s age. If the sum of their age is $$78$$ this year, how old is the father now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems" ]
"2023-07-07T00:00:00"
3be5a913fea7494c80e0bfe6a08910b7
2
short_answer
A block of mass m = 2.0 kg is attached to an ideal spring of force constant k = 500 N/m. The amplitude of the resulting oscillations is 8.0 cm. Determine the total energy of the oscillator and the speed of the block when it\textquotesingle s 4.0 cm from equilibrium.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with Two Variables" ]
"2023-07-07T00:00:00"
79ed6bec48e84620b031b1f6fe00dc58
2
short_answer
Rose and Kylie are playing a game. Here are the rules: 1. There are $$14$$ marbles placed in a row. 2. The players take turns removing either $1$ or $2$ marbles each turn. 3. Whoever picks the last marble wins the game. Rose starts first and is followed by Kylie. To ensure her victory, how many marbles must Rose take away in the first turn?
[ "Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy" ]
"2023-07-07T00:00:00"
375112c34e0a4163ad8adac5448587c5
1
short_answer
If $a$ and $b$ are two square roots of $2023$, find the value of $a+b-ab$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Equivalent Substitution that can be Directly Calculated" ]
"2023-07-07T00:00:00"
a4e26b2a8caa4a18ae49cec55472c63f
1
short_answer
Work out $245 − 182$.
[ "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"
c4ccfd8cb6b248a38a4fda147bef55ce
1
short_answer
I have £$45$ in $5$p coins. How many $5$p coins is that?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation" ]
"2023-07-07T00:00:00"
32ad0f6a736244e3a4c5dda6e2a4ca47
0
short_answer
What is $$-7$$ added to $$-3$$? Answer:~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers" ]
"2023-07-07T00:00:00"
7d2942aa92ed44e29a1be000b1aaf0c2
2
short_answer
Pip and Bud are running. They have run $$540$$ metres in $$3$$ minutes altogether. Each minute Pip runs $$20$$ metres more than Bud. How far has Pip run in the 3 minutes?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples" ]
"2023-07-07T00:00:00"
2ec86cfd46db49fb8f7a59bc5ac2195f
2
short_answer
Box $$A$$ contains four times as many coins as Box $$B$$. $$6 \%$$ of the coins in Box $$A$$ are removed and transferred to Box $$C$$. $$20 \%$$ of the coins in Box $$B$$ are removed and tranferred to Box $$C$$. There are now $$1220$$ coins in Box $$C$$ , which is $$22 \%$$ more than the original mumber of coins in Box $$C$$. How many coins were there in box $$A$$ at the beginning?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems" ]
"2023-07-07T00:00:00"
8d4919986f144ffeae4055000acfbb47
1
short_answer
Sally had some bottled drinks. $$60 \%$$ of the bottled drinks were coffee while the rest were tea. She bought more bottles of tea. In the end, $$40 \%$$ of the bottled drinks were coffee. What was the percentage increase in the number of bottles of tea when more bottles of tea were added to the bottled drinks?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate" ]
"2023-07-07T00:00:00"
bcb80e6312784336a54c7308af6263cb
1
short_answer
In base $$16$$ number system, digits larger than $$9$$ are represented by letters. $$A$$ (base $$16$$) $$= 10$$, $$B$$ (base $$16$$) $$= 11$$, $$C$$ (base $$16$$) $$= 12$$, and so on. Calculate $$2A3+17B$$ in a hexadecimal (base $$16$$) number system.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases" ]
"2023-07-07T00:00:00"
d1ec5589c16045a8a24ef55131c530f0
1
short_answer
Solve the following equations for~$x$, showing all of your working. $3\left( 2x+1\right)=75$
[ "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"
94913f61e8cf4fe8822180b9025e8717
2
short_answer
A textbook has $$500$$ pages, numbering from $$1$$ to $$500$$. How many times does the digit $$4$$ show up in numbering these pages?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem" ]
"2023-07-07T00:00:00"
afedf1aa53604878984ef0e2e15b9e62
1
short_answer
What is $$25 \%$$ of $$30 \%$$ of $$40 \%$$ of $$300$$? Answer~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
"2023-07-07T00:00:00"
f17c963ecb1a4e4ea278edc6215a3efb
1
short_answer
Work out $$152+45-52+16$$. ~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Grouping in Fast Addition and Subtraction of Whole Numbers" ]