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"
8ac3b604d92f4e359866a78b06048dfd
1
short_answer
$2570 \div 10000 =$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals" ]
"2023-07-07T00:00:00"
a5cd848f2ed5457aa4de5ac1376a568b
1
short_answer
After taking the photo, Eddie goes to play card games. He uses the six digits $$0$$, $$1$$, $$3$$, $$6$$, $$8$$, $$9$$ to make some numbers (each digit can only be used once). How many different four-digit even numbers can be made?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers" ]
"2023-07-07T00:00:00"
cecaf4be2c7445afbef79df483f09fe6
1
short_answer
Tobby attended a Nasional Maths Olympaid (NMO). Tobby answered all $50$ questions. For each correct answer, Tobby will get $4$ marks. However, for each wrong answer, Tobby will deduct $1$ mark. If Tobby scored $110$ marks in total, how many questions did Tobby answer correctly?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems" ]
"2023-07-07T00:00:00"
b8eda4ea253243a6bc4591a500731f57
2
short_answer
Daniel bakes $420$ cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. $\dfrac{2}{7}$~of the cakes are vanilla cakes. $35 \%$ of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is $4:5$ Work out the number of lemon cakes Daniel bakes.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Sums" ]
"2023-07-07T00:00:00"
8a1fa4f39e19492fb5019958052fc68b
1
short_answer
How many three-digit integers less than $$1000$$ have exactly two different digits in their representation (for example, $$232$$, or $$466$$)?
[ "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"
ae83fe9ef869429482fffd4b5f259176
1
short_answer
What is the smallest positive whole number that is exactly divisible by $$2$$, $$3$$, $$4$$, $$5$$ and $$6$$?
[ "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 Multiple Numbers" ]
"2023-07-07T00:00:00"
0e57c290f8c748f5a8c86e2a3bf96219
1
short_answer
Lily and her sister Judy are sharing their story books. If Lily sends~~books to Judy, both of them will get the same amount. How many more books did Lily have than Judy at the beginning?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
a8d1ad2b149e49638120daa2fb4f7e50
1
short_answer
Cici,~Lily, and~April~are passing a Football to each other. Starting from~Lily, she passes the ball to the others. How many different passing ways are there if there are two passes? $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Tree Diagrams" ]
"2023-07-07T00:00:00"
37eda3d2a7f44391ba89ab6bf862df70
1
short_answer
Avril\textquotesingle s average score on the first four assignments is $89$. Given that she got $94$ on the fifth assignment, what is Avril\textquotesingle s average score on these five assignments?
[ "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"
0cc3cd452b624c9498a48d64322243b8
1
short_answer
Five friends raise £$$400$$ for their favourite charity. Alan collects £$$74$$ and Bilal raises £$$86$$. Chloe collects twice as much as David who raises three times as much as Emily. How much did Chloe collect?
[ "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"
1f9f29d4bf5649379a9cfd3c9d5fcb04
1
short_answer
On the planet Zog the wibbles and the wobbles are having their annual conference. A wibble has $$6$$ arms and a wobble has $$5$$ arms. There are $$11$$ wibbles and a total of $$81$$ arms at the conference. How many wobbles are there? ANSWER~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
59de4a78f41748248348566692dedf92
1
short_answer
$$a$$ and $$b$$ are prime numbers and $$7a+9b=179$$. Work out $$a+b$$.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers" ]
"2023-07-07T00:00:00"
0833ee006bff4737af597938f80a6679
2
short_answer
Use the clues below to find the number being described. * The number is a $3$-digit number. * the sum of its digit is $15$. * The digit in the tens place is twice the digit in the hundreds place. * The digit in the hundreds place is $1$ more than the digit in its ones place.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems" ]
"2023-07-07T00:00:00"
c214cce759fc4604b8bd4aac04f2f467
1
short_answer
There are $$18$$ boys in the amusement park, now the amount of the girls is exactly twice the amount of the boys. So how many girls are there in the amusement park?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple" ]
"2023-07-07T00:00:00"
1933faa02cf240199d07d7e6c69c3b86
1
short_answer
Find $15 \%$ of £$420$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
"2023-07-07T00:00:00"
84bcfd2527634a87ba73c95b75479cb4
1
short_answer
How many seconds are there in $$\frac14$$ of $$\frac16$$ of $$\frac18$$ of 32 minutes?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
"2023-07-07T00:00:00"
ef69916912d64c749a2c5414ca933b35
1
short_answer
When Maverick started cycling from his home, Kelvin was $$10$$ $$\rm km$$ ahead. Maverick\textquotesingle s cycling speed was $$15$$ $$\rm {km/h}$$ and Kelvin\textquotesingle s cycling speed was $$10$$ $$\rm {km/h}$$. They went in the same direction and did not change their speeds throughout. Maverick was certain that he took only $$24\rm min$$ to catch up with Kelvin, but Kelvin was certain that Maverick took longer. Who was correct? If Kelvin was correct, how long did Maverick take to catch up to Kelvin?
[ "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"
e7d9f592443542ef9f580c770df2ce1a
1
short_answer
Given that $$a \#b=a+b- \frac{ab}{910}$$, evaluate $$2016 \#2015 \#2014 \#2013\cdots \#3 \#2 \#1$$?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns" ]
"2023-07-07T00:00:00"
939569b8df414ce2859c11258d03bfc9
1
short_answer
I think of a number, multiply it by $9$ then add $5$ and end up with $113$. What number did I think of?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations" ]
"2023-07-07T00:00:00"
cc2d217fd9294779a151ac26e6edcda8
1
short_answer
The sum of two numbers is $$80$$. The difference of the two numbers is $$40$$. Find the smaller number.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference" ]
"2023-07-07T00:00:00"
7d33980148da4ca2a7359bd7f16eac27
1
short_answer
There are $$3$$ boys and $$4$$ girls in a choir. How many ways are there to pick $$1$$ boy and $$1$$ girl as the two lead singers? Pip\textquotesingle s Answer: There are $$3$$ ways to pick a boy and $$4$$ ways to pick a girl, so there are $$3+4=7$$ ways in total. $ $ Can you find Pip\textquotesingle s mistake?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
51add92ad60b41bd8d0e28c5401b2bae
1
short_answer
Six identical erasers are distributed to three kids and everyone gets at least one. How many different ways can the erasers be distributed?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
4b1aed0b9dfb4774968b86622359a2d5
1
short_answer
There were $$6$$ questions in a mathematics competition. $$5$$ marks would be awarded for every correct answer. $$2$$ marks would be deducted for a wrong answer. If Valerie scored $$23$$ marks in the mathematics competition, how many questions did she answer correctly?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis" ]
"2023-07-07T00:00:00"
35a2e016d6e741289d85bfd98cae8549
1
short_answer
$$41$$ plum trees are planted along a stretch of road with trees planted at opposite ends of the road. The distance between each tree is $$4\text{m}$$. On the opposite side of the road, pine trees are planted at regular intervals of $$5\text{m}$$, with trees planted at opposite ends of the road. How many pine trees are there on this side of the road?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides" ]
"2023-07-07T00:00:00"
19e648dd36f74957bbf3ab2e377bf993
1
short_answer
On the way to school, Pip heard two men talking about their ages. One said, "When I was your age, you were only $$4$$ years old ." The other said, "When I am your age, you will be $$61$$. The younger of the two of them is now~\uline{~~~~~~~~~~}~years old.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems" ]
"2023-07-07T00:00:00"
cd978bde655c4eeab7c4cd5b3e79f234
1
short_answer
Calculate: $1 + 2 + 3 + 4 + 5 + 6 =$~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences" ]
"2023-07-07T00:00:00"
960af76a998542a6bf58bd1a0539e775
2
short_answer
Ten people can build a bridge in $9$ hours. How many people are needed to build the bridge in $3$ hours? (Assume that all people build at the same rate)
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems" ]
"2023-07-07T00:00:00"
c7ea8a8261394a278c052e1d963f6832
2
short_answer
Bud had some money. She spent $$\frac{1}{3}$$ of it on a book and $$\frac{2}{5}$$ of remaining money on a bag. The bag cost £$$120$$. How much money did she have at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
"2023-07-07T00:00:00"
9ccb508c829548d7abb565af2518a286
1
short_answer
Mr Lim fill $$27$$ ℓ\textbf{~}of petrol in his motorcycle in week $$1$$, $$25$$ ℓ\textbf{~}in week $$2$$ and $$30$$ ℓ\textbf{~}in week $$3$$. How many litres of petrol did he fill in his motorcycle altogether? He fill in~\uline{~~~~~~~~~~}~ℓ ~of petrol in his motorcycle altogether.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
"2023-07-07T00:00:00"
e9c6ea8b3c7942a7b584df1117ea9972
1
short_answer
Candy and Nancy are good friends. Candy weighs $30$ kg, and she weighs $4$ more kilograms than Nancy. How much does Nancy weigh?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
"2023-07-07T00:00:00"
b95ce34c4904482cb93b8929a241db81
1
short_answer
Helen sold watermelons at the farmer\textquotesingle s market last weekend. She sold $\dfrac{1}{3}$~of her total the first day, and 60\% of the remaining watermelons on the second day. After both days, she had $48$ watermelons left. How many watermelons did Helen start with?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
"2023-07-07T00:00:00"
28e8d3b2c27742f3ace084be157d24aa
1
short_answer
Calculate: $$5^{2}+6^{2}+7^{2}+\cdots +15^{2}$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2)" ]
"2023-07-07T00:00:00"
6d4657e0a9824b57b531a1b2c5afa9eb
1
short_answer
Select three distinct positive integers from $1$ to $8$ such that the sum is $13$. How many ways can you select the three integers?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
"2023-07-07T00:00:00"
ecab41bccb924851abd1f915401a0eda
1
short_answer
Jessica\textquotesingle{} s and Judy\textquotesingle{} s desks are adjacent to each other in a column. Jessica sits in front of Judy. Given that there are $$5$$ desks in front of Jessica\textquotesingle{} s and $$7$$ behind Judy\textquotesingle{} s, how many desks are there in the column?
[ "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"
d0d1460243fb491a970711148da8bdbd
2
short_answer
Calculate: $$125\times8\times49$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Fast Multiplication and Division of Whole Numbers" ]
"2023-07-07T00:00:00"
afeb51e7b2d34fa88856173d28928c5d
2
short_answer
A school has 152 students.$$If$$ we remove $$\frac{1}{11}$$ of boy and $$5$$ girls, then number of boys and girls will become the same. Then original numebr of boys is:~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
"2023-07-07T00:00:00"
19b4042ba2f8433493147e1a596bf779
1
short_answer
Calculate: $$9 -- 8 + 7 -- 6 + 5 -- 4 + 3 -- 2 + 1$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]
"2023-07-07T00:00:00"
2b2fae5ea687426e9dedde667bf69e55
1
short_answer
Solve the following equations: $$75 \%x-5=2.5$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation" ]
"2023-07-07T00:00:00"
3f2537244e194218846046e4e72a93db
1
short_answer
Brian starts with $$1000$$ and subtracts $$11$$ each time. The first four numbers in his sequence are: $$1000$$,~ ~ ~ ~ ~ $$989$$,~ ~ ~ ~ ~$$978$$,~ ~ ~ ~ ~$$967$$ If he continues in this way, what will be the first negative number in his sequence? Answer:~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression" ]
"2023-07-07T00:00:00"
b4ef0f615e074408b4de5de14d0436b3
1
short_answer
What are the last two digits of $888\times999$?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
5a7e2d52cd5643888c27fcb6f06badc1
1
short_answer
$$0.126$$ is halfway between two numbers. One of the numbers is $$0.11$$. What is the other number? ANSWER~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals" ]
"2023-07-07T00:00:00"
1e5a18b4b8724826840fb986aacf25d5
1
short_answer
Sarah won a large jar of sweets in a Christmas raffle. If there are $486$ sweets in the jar and she shares them equally with her $17$ classmates, how many do they each get?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division" ]
"2023-07-07T00:00:00"
b09251df1d4e43b491aaaabfee97a699
1
short_answer
In a box of sweets there are $7$ toffees for every $12$ chocolates. If there are $72$ chocolates how many toffees are there?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value" ]
"2023-07-07T00:00:00"
d6aec573cb244941b3aefa06caa06e7a
1
short_answer
A number between $$28$$ and $$40$$ is a multiple of $$4$$ and one of its factors is $$9$$. 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->Counting Modules" ]
"2023-07-07T00:00:00"
7a3a4893dd26417fb58c5b88ebbabd36
2
short_answer
Calculate: $$21+27+19-17+22+18=$$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction" ]
"2023-07-07T00:00:00"
e486c9dd773145848b5f37d0c04bbf06
1
short_answer
The fruit market bought $$24$$ cases of mangoes and $$19$$ cases of lychees from the wholesale market at a cost of $$ $2826$$. Given that $$ $56$$ per box of mangoes, how much per box of litchi?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems" ]
"2023-07-07T00:00:00"
1d935725dd9f4e3fa1aed495190dc424
1
short_answer
Freda has a large bag of coins, containing lots of $$1$$p, $$2$$p and $$5$$p coins. How many different totals can she make using exactly $$3$$ coins?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ordered Enumeration" ]
"2023-07-07T00:00:00"
0195214807ca4ebb8735a37f3bd0f396
1
short_answer
Fill in the missing digits in this multiplication. What is the sum of $A+B+C$?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles" ]
"2023-07-07T00:00:00"
c42ce6475895428ab114a1af2385cd70
1
short_answer
Think Academy organized a single round-robin football tournament and six teams participated in it. How many games were played?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition" ]
"2023-07-07T00:00:00"
66c85837504345c58750cdb4cd50976c
1
short_answer
James deposits$$$10,000$$ in the bank. The interest rate is calculated at $$5 \%$$ on a yearly basis. How much will he get at the end of the third year?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems" ]
"2023-07-07T00:00:00"
d3475d6b771245278e01398bd5f12797
1
short_answer
$$24x-5\left( 3+x \right)=4$$.x=.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable" ]
"2023-07-07T00:00:00"
f8128d9e28164d24aec427b96c538dec
1
short_answer
Add together the following, giving your answer as a DECIMAL. $$65 \%$$, $$0.507$$ and $$\frac{1}{4}$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals", "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Converting Between Fractions, Percentage and Decimals" ]
"2023-07-07T00:00:00"
7e4fe708d5fe47a8b3e7945e164570cb
1
short_answer
How many different three-digit numbers can be formed with four cards of $$1$$、$$1$$、$$2$$、$$2$$~ ?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering" ]
"2023-07-07T00:00:00"
6db54abfbef4439db3f32fb63eccef7f
3
short_answer
What is the value of $P+Q+R$ in the following multiplication?
[ "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)->Multiplication Tiling Puzzles" ]
"2023-07-07T00:00:00"
aaa5c754fa8b4afba08b7370dcadfd5c
1
short_answer
$$50$$ children want to purchase the special football club of their school. The shirt costs £$$10$$, or £$$15$$ if you wish to have your name put onto the back. Together the children pay £$$555$$. How many of the children paid to have their name put onto the shirts?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Basic Type->Non-typical Types" ]
"2023-07-07T00:00:00"
32cdb025d7b6487e8f23c740bc73c7a7
1
short_answer
One day morning, Susan goes out to exercise. At $$\rm 7:30$$ a.m., Susan leaves home and jogs at a speed of $$5$$ miles per hour. At $$\rm 8:30 $$ a.m., Susan feels a little bit tired and walks at a speed of $$3$$ miles per hour. At $$\rm 10:30$$ a.m., Susan finishes her exercise. How many miles does Susan travel in total this 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"
5e7920b1469e44e9b17a7f258f840f18
1
short_answer
The sum of five consecutive whole numbers is $100$. What is the smallest of these five numbers?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences" ]
"2023-07-07T00:00:00"
181bc921ffe648fdb943b55640a83626
1
short_answer
Ronald was then later asked to determine the value of $q$, given that $\frac{44000}{q}$ is a cube number. Determine the value of $q$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Perfect Square Factorization" ]
"2023-07-07T00:00:00"
29d7bb7ee42147cb9da0d2f87542dc6c
2
short_answer
Lucy has 75 oranges. She puts 10 oranges into each of 3 boxes. She puts 5 oranges into each of 7 boxes. How many oranges does Lucy have left?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
6e0d33aabe9c4bcab5d514bcef0a008a
2
short_answer
David has 27 balls. He puts 5 balls in each bag and has 2 balls left over. How many bags did David use?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
4884fdf18c7a4806a27e23695f55df93
2
short_answer
A deck of $$52$$ cards have four different patterns: hearts, spades, diamonds and clubs. Each has $$13$$ numbers (From $$1$$ to $$13$$) How many cards must you draw so that at least $$3$$ cards have the same number?
[ "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"
4d7449c37dc04e2caef48c2973cae23f
1
short_answer
Eddie, Avril, and James are playing a card game. James draws a card and then tells Eddie the suit of the card (spades, diamonds, hearts, or clubs), and tells Avril the number on the card ($$1-10$$, $${J}$$, $${Q}$$, or $${K}$$). James also tells them that the card is one of the following: Spades: $${A}$$, $${J}$$, $${K}$$; Hearts: $$3$$, $$5$$, $${K}$$; Diamonds: $$2$$, $$7$$, $${J}$$; Clubs: $${A}$$, $$7$$; Eddie says to Avril: ``I still do not know the card. Neither do you.'' Avril says: ``I did not know before you told me this. But now I know for sure! '' Eddie says: ``Well, now you told me that, I know as well.'' What is the card?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning using Hypothesis" ]
"2023-07-07T00:00:00"
68ce89970a8a42d0af6104403b9d3ddf
1
short_answer
$$21$$ trees are to be planted along a road $$800$$ $$\text{m}$$ long at regular intervals. If both ends of the road are planted with trees as well, how far is one tree from another?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides" ]
"2023-07-07T00:00:00"
23f3e87699854b52b46eb378c40700f3
2
short_answer
Calculate: $32\times125\times49$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
"2023-07-07T00:00:00"
febedf25f5b741c99cfb8b948352ac30
1
short_answer
Andy has $149$ notebooks. If he gives his sister $38$ notebooks, they will have the same number of notebooks. Their friend Joey tries to find how many notebooks Andy\textquotesingle s sister has at first using the following steps: $38\div2=19$ $149-19=130$ Andy\textquotesingle s sister has $130$ notebooks at first. Is Joey correct? If not, show the correct working and answer.
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
de1a1dea86fa48258e157a13cfd72cc0
0
short_answer
Work out the following: $\dfrac{3}{4}$~of $28$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->The Meaning of Fractions" ]
"2023-07-07T00:00:00"
0aeb025cc8c240e8b251019f1650c9d2
1
short_answer
Two buildings are $$90\textasciitilde\text{m}$$ apart from each other. $$9$$ trees are planted at regular intervals between the two buildings. What is the distance between each tree?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting no Trees on either Side (straight line type)" ]
"2023-07-07T00:00:00"
f6face9fc7c7465783d957d20e60eabe
1
short_answer
Ning Ning wrote a list of all the numbers that could be produced by changing one digit of the number $$200$$. How many of the numbers on Ning Ning\textquotesingle s list are prime? \textbf{Explain your answer fully}.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers->Properties of the Unit-Digits of Prime Numbers" ]
"2023-07-07T00:00:00"
64a0b45c920043ea9de7368f87d76a34
1
short_answer
There are two numbers whose sum is $72$. One number is twice the other. What is the smaller number?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
eaee4c5f914f464893c6c617cd8da980
1
short_answer
The mean of five numbers is $5$. Four of the numbers are $3, 4, 6$ and $10$. What is the fifth number?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]
"2023-07-07T00:00:00"
8b959182183d418eb25cefb9bf8dc219
2
short_answer
Danny and Emily are in a queue and Emily is directly behind Danny. There are $25$ people in front of Emily. Counting from the back of the queue, Danny is the $$14^{\rm th}$$. How many people are there altogether in this queue?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Two Characters" ]
"2023-07-07T00:00:00"
8ddc7b2bdd5b4d1a82dc0c65276359f0
0
short_answer
Emma needs $$12$$ minutes to cut a piece of wood into $$4$$ sections. If her cutting speed remains unchanged, she needs~\uline{~~~~~~~~~~}~minutes to cut the piece of wood $$5$$ times.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems" ]
"2023-07-07T00:00:00"
d71cc09281d5402dbf1e61d96fc56855
2
short_answer
A teacher asks the class to finish reading a storybook within a number of days. If Vanessa reads $$30$$ pages a day, she will finish reading $$2$$ days later than the given deadline. If she reads $$39$$ pages a day, she will finish reading $$4$$ days ahead of the deadline. In how many days are the students supposed to finish reading the storybook? How many pages has the storybook?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Distribution Conversion Problems" ]
"2023-07-07T00:00:00"
98e96ab2a5464c2f8b55cc5355c56197
1
short_answer
The digit \textquotesingle$$5$$\textquotesingle{} appears $$30$$ times in the page numbers of a book. How many pages does the book have?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Questions Involving Page Number" ]
"2023-07-07T00:00:00"
967f79ab6d244b729f644537a06bdcc3
1
short_answer
Nine cups of tea cost £$13.23$, find the cost of one cup of tea.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division" ]
"2023-07-07T00:00:00"
19c7948c5c3b458f98616eed8bb06cfc
1
short_answer
Celeste asked her teacher, ``Ms Tan, how old were you when you entered kindergarten?'' Her teacher replied, ``Solve the following equation to find out!'' $$13-2\left( 2x-3 \right)=5-\left( x-2 \right)$$ Celeste looked at the equation and did the following working. $13 - 4x - 6 = 5 - x - 2$ $7 - 4x = 3 - x$ $7 - 3 = 4x - x $ $4 = 3x$ $x = 4 \div 3$ = $\frac{4}{3}$ Celeste exclaimed "You were $\frac{4}{3}$ years old!" Is Celeste\textquotesingle s answer correct? if not, circle out the error and find the correct answer.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions" ]
"2023-07-07T00:00:00"
bb066669a1d043539b0f78f992d232f1
0
short_answer
What is the value of $$(10+9+8+7+6)-(5+4+3+2+1)$$?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
b603c5461f8548a3b4cec3a87b533133
1
short_answer
$7.298 \div 0.2$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals" ]
"2023-07-07T00:00:00"
0a9790cb77334c198e6f33340f5f941c
1
short_answer
A worker can finish painting $$2$$ rooms in a day. How many days does it take $$2$$ workers to paint $$4$$ such identical rooms?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division" ]
"2023-07-07T00:00:00"
317ce9d0b92e4e9b82f5bce5d48051a3
1
short_answer
(UK St Paul's Girls School Sample Paper Section $A$ Question $$16$$) A shop sells apples and oranges. Kate buys $1$ apple and $2$ oranges. She paid $48$p. Jade buys $1$ apple and $1$ orange. She paid $31$p. How much does $1$ orange cost?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Basic Type->Non-typical Types" ]
"2023-07-07T00:00:00"
7ab2e2f436264488b6a85e26de20ed20
1
short_answer
I am given the same amount of pocket money each week. One week I bought four tennis balls and had $27$p left over. The next week I bought two tennis balls and had £$1.51$ left over. How much pocket money do I get each week?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation" ]
"2023-07-07T00:00:00"
ef8fc9f97c334d85b494fffa1bd0577b
1
short_answer
Yola can read $30$ pages of a book in~$\dfrac{3}{4}$ of an hour. How many seconds does she take to read each page?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems->Basic Work Word Problems" ]
"2023-07-07T00:00:00"
a68fba20646a499593183aa13dfc3f51
1
short_answer
Freya has $$24$$ badges. If she gives~$\dfrac{3}{8}$~of them to her brother, how many does she have left?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
"2023-07-07T00:00:00"
a1b6d3dc280e4ab498a45c02841bbb75
2
short_answer
How many of the numbers from $$100$$ to $$999$$ have exactly one zero digit? (2019AMC 28)
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers" ]
"2023-07-07T00:00:00"
29b13d5b92d24153bb5eab0c0a6b79b6
1
short_answer
Jason has thrice as much money as Will. Tom has $$$15$$ less than Will. Given that they have a total of $$$225$$, how much money does Tom have?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples" ]
"2023-07-07T00:00:00"
b2e74fd3787345abaed2bffc05eda905
3
short_answer
Elias had $$5$$ times as many stickers as Aileen. After Elias gave away $$88$$ stickers and Aileen lost $$8$$ stickers, they had the same number of stickers left. How many stickers did each of them have in the end?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
"2023-07-07T00:00:00"
5ed3ede08de4405abf392b2e764a8a3a
1
short_answer
Maths Olympiad 《Problems from Planting Trees-Intervals》 Pr$$1$$\&$$2$$ Question \#$$3$$ Each staircase has $$12$$ steps. How many steps do $$3$$ such staircases have?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method" ]
"2023-07-07T00:00:00"
163d5569c8794822827aa5f3fb2a9e54
1
short_answer
Louis is lining to get on the train. There are $23$ people in the line. There are $14$ people behind him, How many people are in front of him?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
cb7de8383bda423f846c2a0d41099259
1
short_answer
Thomas and Gerald meet up to eat pieces of cheese. Thomas is greedy: for every $$3$$ pieces of cheese Gerald eats, Thomas eats $$5$$. The two of them eat $$104$$ pieces of cheese in total. How many more pieces of cheese did Thomas eat than Gerald? Answer:~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value" ]
"2023-07-07T00:00:00"
350b297b009e49fa80ba80c3b2e816be
1
short_answer
Find the sum: 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition" ]
"2023-07-07T00:00:00"
192ed864378f46f0992b02857290262e
1
short_answer
Calculate: $2 + 3 + 4 + 5 + 6 + 7 + 8$ =~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences" ]
"2023-07-07T00:00:00"
99153d571f7b47888d63eeb16f4101aa
1
short_answer
$${\rm{73}}0{\rm{ }} \div {\rm{ 1}}000$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals" ]
"2023-07-07T00:00:00"
d70de15ac2b64e119755895c7c1775b0
1
short_answer
Tiara can make $25$ cookies using $20$ grams of butter. How many cookies can Tiara make using $48$ grams of butter?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
"2023-07-07T00:00:00"
0c86c445fc0a4c6da74c3a666872027f
2
short_answer
$$n$$ is the answer to $$5\times4^{2}$$. $$n=$$?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Power Computation of Multiplication" ]
"2023-07-07T00:00:00"
91e8c0f537a24098854e3e9ad367ef40
1
short_answer
Calculate $$25+37$$ in base $$8$$ number system. Pip\textquotesingle s answer: $$25+37=62$$
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases" ]
"2023-07-07T00:00:00"
ab65eb6366424791bc96225b7748674a
1
short_answer
What is~$\dfrac{8}{11}$ of £$1.54$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions" ]
"2023-07-07T00:00:00"
7bf99922eaaf4266b6882b0fd9059ea0
1
short_answer
There were $\frac{2}{7}$ as many boys as girls and $\frac{2}{3}$ as many adults as children at the park. Given that there were $1228$ more adults than boys at the park, how many people were at the park?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
"2023-07-07T00:00:00"
7580babfb6664341b878371c05f2522f
1
short_answer
Work out $$3597\div11$$ Answer:~\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"
15cc7b6d484d4ffcad21a4bb4923bca1
1
short_answer
Work out $$5987+67+983$$
[ "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"
eb3a8e66576f4d9f9023ccfe7b7b53c5
2
short_answer
A shop purchased some tennis rackets at $$ $150$$ each. It then sold them at $$ $175$$ each. When the shop was left with $$8$$ rackets, the proceeds had covered the initial total cost price plus a profit of $$ $525$$. How many tennis rackets did the shop purchase at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts" ]