dataset_version
timestamp[s]
queId
stringlengths
32
32
difficulty
stringclasses
5 values
qtype
stringclasses
1 value
problem
stringlengths
6
2.89k
knowledge_point_routes
sequence
2023-07-07T00:00:00
e147bf0d408e4c8a9fccf6228377aabc
3
short_answer
When Grey was born, his father was $$30$$ years old. This year, the age of Grey\textquotesingle s father is three times that of Grey\textquotesingle s age. Grey\textquotesingle s father is~\uline{~~~~~~~~~~}~years old this year.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Differences and Multiples in Age Problems" ]
2023-07-07T00:00:00
31840b7e162d44dcaffb4626ba30ea1a
0
short_answer
Pip has some apples which are 5 times as many as Bud. Can you draw the "parts" graph?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples" ]
2023-07-07T00:00:00
2ee25cfde76549e8a74f4b49a19e6576
2
short_answer
Find the value of $$10\times \left(\frac{2998+2999+3000}{2997+2998+2999+3000+3001}\right)$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Fast Calculation in Fractions" ]
2023-07-07T00:00:00
5e6155d2b3e346cbbc38976ee85ef798
1
short_answer
Jimmy puts $$35$$ books on$$\textasciitilde4$$ layers of his bookshelf. What is the least number of books on the layer with the most books?
[ "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Simple Pigeonhole Principle Problems", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
2023-07-07T00:00:00
0875b88ce12741689decc2618d2990ae
1
short_answer
The front row of a theatre has $$48$$ seats and every other row has four more seats than the row in front. There are $$80$$ seats in the last row. How many seats are there \textbf{altogether} in the theatre?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences" ]
2023-07-07T00:00:00
a9ce794d4d724087ae8161cbe09c09a1
1
short_answer
How many different three-digit numbers can be formed using the numbers $$3$$, $$6$$, $$9$$?(without using the same number two times like $$33$$)
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering" ]
2023-07-07T00:00:00
2dd0df0b47f04bfb8660c7f9d1f7eab6
1
short_answer
What is the sum of $0.12+0.345+0.6789$?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions" ]
2023-07-07T00:00:00
3a9016a2cfba4bf48567281430e8ea9b
1
short_answer
Calculate: $3\times37\times9$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division" ]
2023-07-07T00:00:00
ed453aff15e04b3fbad1957ab9fac783
2
short_answer
How many different three-digit numbers can be formed using the numbers $$ 0$$, $$1$$, $$2$$ ?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering" ]
2023-07-07T00:00:00
bd2b901e7ebe48c895db12c5cefe8864
1
short_answer
There are $$523$$ cows and $$172$$ pigs on the farm. How many cows are there than pigs?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
2023-07-07T00:00:00
32f99dc7770c48f891cc519a0e993603
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
2f7c543f936b44159eb43f58e41436ea
1
short_answer
A division gives a quotient of $$12$$ and a remainder of $$3$$. What is the minimum value of the dividend?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders" ]
2023-07-07T00:00:00
473f107b34bc4eb98a8c18b2d5a71597
1
short_answer
Betty, Veron, Eliza sold a total of $$855$$ cookies on National Girl Scout Cookie Day. Eliza sold twice as many cookies as Veron. Betty sold $$185$$ fewer cookies than Eliza. How many cookies did Betty sell?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
72bf22ed00544452be7c9b7e3e3c9ea5
1
short_answer
In three years from now, Hazel yel be yyears old. Jessica is 3 years younger than Hazel. What will be their total age next year?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems" ]
2023-07-07T00:00:00
2927ab094a1741819a4e2a25ebabc6e7
3
short_answer
65\%~ ~65\% of the animals in a farm were cows and the rest were goats. When 240 more cows and goats were added to the farm, the percentage of cows increased by 20\% and the number of goats doubled. How many goats were there in the farm at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
2023-07-07T00:00:00
d3a62f3a2a154a3d9ba934079c4f679d
0
short_answer
Jennifer is assembling a wardrobe. The measurements for the $3$ sections are given in different units. The first section is $30$cm wide; the second section is $1.5$m wide and the third section $150$mm wide. How wide is the whole wardrobe? Give your answer in cm.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length" ]
2023-07-07T00:00:00
58b2b0f298394a909fc6d284a735e599
1
short_answer
Melanie is $$8$$ years old. She asked her uncle about his age. Her uncle replied, "When you reach my age, I will be $$38$$ years old." How old is her uncle?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems" ]
2023-07-07T00:00:00
93d27a37cf174f6c9e8a2ff60b9bbf22
1
short_answer
What percentage is $15\text{p}$~out of £$3.00$?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
2023-07-07T00:00:00
4e0dc5edbf7d4e40b8ac2e3de13c21a2
1
short_answer
$$50$$ students stand in a line facing the teacher, and report the number from left to right one by one: $$1$$, $$2$$, $$3$$, .. etc. After reporting, the teacher asks students who reported multiples of $$4$$ turn backwards. Then let the students whose reported number is a multiple of $$6$$ turn backwards. How many students are still facing teachers?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples", "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers" ]
2023-07-07T00:00:00
9c12fef929b2434bab748c05a0ff93fd
1
short_answer
Katy is going to the cinema to see a fifilm that starts at $$3.25$$pm and lasts $$108$$ minutes. At what time will the fifilm end? Write your answer using the $$24$$-hour clock.
[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation" ]
2023-07-07T00:00:00
baeaa1b74d3542bbabb148cbdd2cc14c
1
short_answer
If the degree of the monomial $-x^{3}y^{2n}$ is $5$, find $n$.
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
8aad4836c0734930b7d215cbb6b09d6c
1
short_answer
Calculate 18+3-8+17=
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
2f1be30621994420880174e39997c979
1
short_answer
$2\frac{3}{8}+6\frac{9}{12}+1\frac{14}{16}=$~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions" ]
2023-07-07T00:00:00
1b593b3bdeb34c18b0cff4c24a506258
1
short_answer
Amy is $15$ years old this year. Amy\textquotesingle s age $5$ years ago is same as her sister\textquotesingle s $3$ years later. Question: How old is her sister now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems" ]
2023-07-07T00:00:00
eef4ade5677a43a4ae0df6aeeb38fe6e
1
short_answer
A deck of cards has $4$ suits. Each suit has $13$ cards, namely $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$,$10$, $J$, $Q$ and $K$. How many cards must you draw at one go to ensure that there are two cards of the same number or letter?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Simple Pigeonhole Principle Problems" ]
2023-07-07T00:00:00
01b407a825884d83acf6b91beaf5d407
1
short_answer
The sum of the digits of an even $$3$$-digit number is $$21$$. What is the smallest possible such $$3$$-digit number?
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration" ]
2023-07-07T00:00:00
d853853301cf40d6a725ec4ab3774957
1
short_answer
Calculate: $\left( \frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\cdots+\frac{1}{20}\right)+\left( \frac{2}{3}+\frac{2}{4}+\cdots\cdots+\frac{2}{20}\right)+\left( \frac{3}{4}+\cdots+\frac{3}{20}\right)+\cdots\cdots+\left( \frac{18}{19}+\frac{18}{20}\right)+\frac{19}{20}$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Fast Calculation in Fractions" ]
2023-07-07T00:00:00
25040bd355be4585bf5a273889285a78
1
short_answer
$\frac{3}{5}$ of a sum of money is $18$p. Find the whole amount.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
2023-07-07T00:00:00
f58db1d3f54446688138665d57db026d
1
short_answer
$$423 \times 72 =$$
[ "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
52a86fa066cb48858c6bc524eece5782
1
short_answer
Find $x$, if $3x + 5 = 20$
[ "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
44f2ee1889614bbfb19535bdd92da120
1
short_answer
SASMO 2017 What is the smallest two---digit number that can be divided by 3 and 7?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems" ]
2023-07-07T00:00:00
017473f68ce348d49eb42bb8dbb458a6
1
short_answer
Lavi spent $$ $156$$ in total on some cacti and sunflowers. He bought $$6$$ more cacti than sunflowers. Each cactus costs $$ $2$$ and each sunflower costs $$ $7$$. How many cacti did he buy?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
3502c215c1be4b7fb69703f1b13e625d
2
short_answer
Sarah bought $$8$$ books and $$3$$ pencils. Rebecca bought $$3$$ books and $$8$$ pencils. Sarah paid £$$1.00$$ more than Rebecca. A pencil cost $$40$$p. How much was a book?
[ "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
5fa3410a0ede4f5c874b9848f3d5326f
1
short_answer
$$\left( {{2}^{2}}+{{4}^{2}}+\cdots +{{18}^{2}}+{{20}^{2}} \right)-\left( {{1}^{2}}+{{3}^{2}}+\cdots +{{17}^{2}}+{{19}^{2}} \right)=$$~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas" ]
2023-07-07T00:00:00
d7bced643fdd4eb6bdc74acb29830ef9
1
short_answer
A bottle contains 17 litres of water. I pour exactly 2 litres into each of 6 jugs. How much water is left in the bottle?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
2023-07-07T00:00:00
0be151f2fbc745f7a608fa9e0444c3fc
2
short_answer
Liverpool F.C and Manchester United F.C are having a football match in the stadium. At first, there are $$1000$$ more Liverpool fans than Manchester United fans in the stadium. $$30$$ minutes later, $$472$$ Liverpool fans, and $$4836$$ Manchester United fans enter the stadium. The number of Manchester United fans is $$3$$ times that of Liverpool fans. How many Liverpool fans are there at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple" ]
2023-07-07T00:00:00
4fed3bbe2a4c479fb032cdfa43d46b2d
0
short_answer
$$12.5\times32$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals" ]
2023-07-07T00:00:00
c5410d85775f48bd93e84ab31405739b
2
short_answer
Sarah bought $$8$$ books and $$3$$ pencils. Rebecca bought $$3$$ books and $$8$$ pencils. Sarah paid £$$1.00$$ more than Rebecca. A pencil cost $$40$$p. How much was a book?
[ "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
72bb560fb6bc4884bb7499eb0d199c5c
1
short_answer
Andrew got $20$ points in a math competition, and Jack got $18$ more points than Andrew. How many points did Jack get?\hspace{0pt}
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
2023-07-07T00:00:00
da5a959c72974b06be19c4288fbc217c
2
short_answer
There are $$12$$ players in a volleyball team. However, only $$6$$ players are needed for a volleyball match. How many ways are there to choose 6 players from $$12$$ players?
[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations" ]
2023-07-07T00:00:00
c23d5f0deb8a4bc7a5a92b52a64b5653
1
short_answer
Andy had some money. First, she gave half of the money to her mother. Next, she gave half of the remaining to Bob. Then, she gave half of the remaining to Nini. Lastly, she gave $$2$$ dollars to Mike and she had $$3$$ dollars left. Originally, Andy had~\uline{~~~~~~~~~~}~dollars.
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
2023-07-07T00:00:00
859405caaa7e4a0b9fa498591ea6d75b
0
short_answer
Add together $4867$ and $285$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers" ]
2023-07-07T00:00:00
15cab5ac2a464bd49b38abf530497521
0
short_answer
$7x+3(x+5)=45$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation" ]
2023-07-07T00:00:00
6e612604c8ff4d42b99013c98deabfdd
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
8cecf1b760794f42ac5164ddf2ddd1b9
2
short_answer
Find the $$2023^{\text{th}}$$ digit in the number $$12345678910111213\cdots 998999$$.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations" ]
2023-07-07T00:00:00
d564d279579b4412beee324ea716c5ac
1
short_answer
The sum of $3$ numbers is $450$. The first number is $178$. The second number is $69$ less than the first number. Find the third number.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering" ]
2023-07-07T00:00:00
1d72b15c9167478a811748cdd734865e
1
short_answer
The ratio of the number of T-shirts to the number of caps that Siti had was $$8:5$$. The cost of each T-shirt was $$$3$$ and the cost of each cap was $$ $5$$. Siti sold $$\frac{{1}}{{4}}$$ of the T-shirts and $$\frac{{1}}{{5}}$$ of the caps. She collected $$ $132$$ for the items she sold. How many T-shirts did Siti have at first?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems" ]
2023-07-07T00:00:00
50cd7efd01b841d298218aea08ed2f91
1
short_answer
Today is $31/12/98$ and tomorrow it will be my llth birthday. How old will I be on $31/12/01$?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates" ]
2023-07-07T00:00:00
68189bcaa99d4e9f9c3e3ce95e7937fd
1
short_answer
What is the smallest odd number that can be written using all the digits $4, 6, 2, 5$ once only?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)" ]
2023-07-07T00:00:00
76be802a2529408ebd6445587693be90
1
short_answer
$$9.95-2.6-3.42$$ =
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals", "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Decimals->Subtraction of Decimals" ]
2023-07-07T00:00:00
81a3546d49f540918fa6687b12bf0b34
1
short_answer
A group of $$40$$ students are on a field trip at the river. In order to cross the river, their teacher, Mr. Linder, is able to send at most $$6$$ students on one boat at a time. How many times at least does he need to send all the students across the river using only one boat?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division" ]
2023-07-07T00:00:00
c1de6601e4b04d30ad771a324ae51e3c
1
short_answer
$$2, 4, 6, 8, 10, \cdots ,$$ is a sequence of consecutive even numbers starting from $$2$$. $$36$$ is the~\uline{~~~~~~~~~~}~(ordinal number) number in the sequence.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences" ]
2023-07-07T00:00:00
0cddcd3bc30743f58a6fa95ed48ba314
1
short_answer
Joe has $7$ times as many game cards as Eric. How many game cards must Joe give Eric so that each of them will have $168$ game cards?
[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
2023-07-07T00:00:00
085c8151173f4b7d90be8a69b00d7f5d
1
short_answer
The natural number $N$ is a two-digit prime number, and the ones-digit and tens-digit of $N$are both prime numbers. How many such natural numbers are there?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers" ]
2023-07-07T00:00:00
e2695aa79cb340d99906881fc1d6a0c6
1
short_answer
Hannah is playing a game of cops and robbers with kids. She catches $8$ kids from the park, but $5$ of them run away when Hannah is searching the library. Then Hannah catches $9$ kids from the library. How many kids does Hannah catch in the end?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
2023-07-07T00:00:00
f0328bec52924f7ea69d1ae80d116453
1
short_answer
It takes me ten minutes to paint a picture. How many pictures could I paint in one hour and twenty minutes?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable" ]
2023-07-07T00:00:00
b2064a45faa94ab689a5ee8b42de5b1c
1
short_answer
In a game, a number of people stand evenly spaced in a circle. Each person is given a number $$1$$, $$2$$, $$3$$, $$\cdots \cdots$$ Number $$6$$ stands directly opposite to number $$19$$. How many people are playing the game? ~\uline{~~~~~~~~~~}~people
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths->Points, Lines and Pictures (circular path)" ]
2023-07-07T00:00:00
7b92cabf616c4f65bb3f245acc3311d5
0
short_answer
Mina has $$10$$ apples. She wants to split them into $$2$$ groups with different numbers in each group. Find how many different ways she can split.
[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration" ]
2023-07-07T00:00:00
6520b25ec5ca47c28184d097d5c1d50f
1
short_answer
Five students are arranging themselves in a single line to take a picture together. How many ways can the students line up?
[ "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
4464e412391748539179d461f02021f4
1
short_answer
Anne has more pears than Charlie. If she gives Charlie $$6$$ pears, then each of them would have an equal number of pears. Altogether, they have $$38$$ pears. How many pears does Anne have at first?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
6a68efce3a3843c488c04405fe0ad806
0
short_answer
Amy has been swimming $$14$$ times over the summer holidays. Her sister Joanne has only been $$5$$ times. How many more times has Amy been swimming than Joanne?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering" ]
2023-07-07T00:00:00
292666d407aa47a1b8822e94b934f869
1
short_answer
Given that $$\overline{abcd}+\overline{abc}+\overline{ab}+a=1370$$, find the value of $$\overline{abcd}$$.
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value" ]
2023-07-07T00:00:00
5f4b4e56afb34cf5a1144d2bc36161da
2
short_answer
Sachin can clean his flat in $3$ hours, and Peter can clean the same flat in $6$ hours. Calculate how long it will take to clean the flat if they work together.
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems->Basic Collaboration Word Problems" ]
2023-07-07T00:00:00
cc9705da6c674505ab7de37d248f4508
1
short_answer
Isaac had $$5$$ times as many stamps as Joseph. After Joseph received $$154$$ stamps from his father, Joseph had $$\frac{9}{10}$$ as many stamps as Isaac. How many stamps did Isaac have?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
899b1a4b796c49099d270e74392468e4
2
short_answer
How many consecutive zeroes are there in $$1\times 2\times3\times \cdots\times29$$?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples", "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers" ]
2023-07-07T00:00:00
d98f7fbf1401483cbb8a9febb9b267a5
2
short_answer
A positive integer $$N$$ has a base $$8$$ number system of $$N={{(12345654321)}_{8}}$$. Hence for base 10 number system, what is the sum of the remainder of $$N$$ divided by $$7$$ and the remainder of $$N$$ divided by $$9$$?
[ "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
1bb4ac60011c4f049e418cf89d7b6aca
1
short_answer
Linda and Ted started jogging from two ends of a path towards each other at the same time. When Linda passed Ted, Linda had jogged $$1200\rm m$$. If the speed ratio of Linda to Ted is $3:4$, what was the length of the path?
[ "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
13bdfa0cc0bf4ec8b5035a9b4a3cba96
2
short_answer
A year is called a lucky year if the sum of its digits is 18. For example, 1917 is a lucky year since 1+9+1+7=18. How many lucky years are there between 2018 and 2108? (⭐⭐⭐⭐)
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
2023-07-07T00:00:00
f4d8b1a7fd8f46d0a9ef67f2bee482c1
2
short_answer
The 5-digit number~$\overline{2018A}$~~is divisible by 9. What is the remainder when this number is divided by 8?
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation" ]
2023-07-07T00:00:00
7634476c9aa54ec59121ed35be37a90a
1
short_answer
A group of squirrels are lining up to buy acorns. Squirrel Ryan says that, "There are $$5$$ squirrels in front of me. " Squirrel Elvis says that, "There are $$7$$ squirrels behind me. " Squirrel Ryan is in front of Squirrel Elvis, and there is only $$1$$ squirrel between them. How many squirrels are buying acorns?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems" ]
2023-07-07T00:00:00
be80ef03c92f4f92945f77d21a554dbf
1
short_answer
The examination papers of six students were mixed up before they were handed back to each of them. How many different possible ways are there for the students to receive the papers if none of them received their own paper back?~\uline{~~~~~~~~~~}~
[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating" ]
2023-07-07T00:00:00
ccda4529057344dfb3239b232b55def3
1
short_answer
Solve the equation below. $$6x+3x+2=38+5x-8x$$.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable", "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions" ]
2023-07-07T00:00:00
3372b3b3a25d471db3a7b9b84e20d407
1
short_answer
Please simplify the calculation: $$\frac{2019+2018\times 2020}{2019\times 2020-1}$$
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
2023-07-07T00:00:00
de7d03220ef44866b5c5a28b228aa86c
1
short_answer
If $3$ workers take $3$ days to build a wall, how many days will $1$ worker take to build the same wall?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication" ]
2023-07-07T00:00:00
260e6647f054406db07646bdfcd45cc2
1
short_answer
Tarita starts a savings account with $$$3600$$ at a bank. The interest rate is $$2 \%$$ per year. How much interest will she get in her savings account at the end of one year?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems" ]
2023-07-07T00:00:00
c76e6054330d410d8964478169646a8e
1
short_answer
Calculate $25 \%$ of~$64 \text{kg}$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
2023-07-07T00:00:00
f5dda3a779a843e88e20668719067b5f
0
short_answer
Find $x$: $$ \frac{3x+3}{6}= \frac{5x-2}{8}$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
2023-07-07T00:00:00
4127bb2d659e42e7b67a826610a830ff
0
short_answer
\textbf{Unchanged Difference} The ratio of the pupils in School P and the pupils in School Q is 2:3. 240 Primary one pupils were admitted to School P and School Q respectively. The ratio became 3:4 in the end. Find the number of pupils n School P at first.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
2023-07-07T00:00:00
15a6e721c67f4f68bcb7869cb424dc30
1
short_answer
Find $30 \%$ of £$45$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
2023-07-07T00:00:00
c41136a149b7455588eedcd3638a6d6e
2
short_answer
Find the sum of all odd numbers between $0$ and $20$.
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication" ]
2023-07-07T00:00:00
ba12d160c6704062bce29f06d2df0413
1
short_answer
Five years ago, Jack\textquotesingle s age was half of the age he will be in $8$ years. How old is he now?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems" ]
2023-07-07T00:00:00
d1ef65d2af0d48fca0d26f7460c255c2
3
short_answer
Nora spent $$70 \%$$ of her money on a bag and $$\frac{3}{8}$$ of the remainder on a purse. What percentage of her money did she spend on the purse?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Properties and Applications of Number Bases->Mixed Operations of Number Bases", "Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Word Problems Involving Fractions and Percentages->Finding the Percentage Given a Part and a Whole" ]
2023-07-07T00:00:00
ad7c476fa787456a984de908cbf3274a
2
short_answer
Kenny, Timmy and Ron used some straws to make a structure each. Timmy used $$12$$ fewer straws than Kenny.~~Ron used $$20$$ more straws than Kenny. The three children used $$284$$ straws altogether. How many straws did Ron use?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference" ]
2023-07-07T00:00:00
e6126aee30d340e584a91ebb8121b3b4
1
short_answer
How many ways are there to rearrange the letters in the word \textquotesingle EDUCATION\textquotesingle{} if the vowels are never together?
[ "Overseas Competition->Knowledge Point->Counting Modules" ]
2023-07-07T00:00:00
f045ccc90cd4400c86e6a51f2a370f28
0
short_answer
$86.3 + 7$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals" ]
2023-07-07T00:00:00
cda98aa296634bf2a385a6527a02e9c2
1
short_answer
A teacher is going to divide some candy among $$5$$ students, and each student will get $$12$$ candies. Now $$1$$ more student joins the group. How many candies will each student get after the candy is redivided?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems " ]
2023-07-07T00:00:00
1d9d7ae4443a4d1a8f150b0ff35e0812
1
short_answer
As shown in the figure below, in $\triangle ABC$, $m\angle BAC =50^{}\circ$, $BP$ bisects $\angle ABC$ and $CP$ bisects $\angle ACB$. Then $m\angle BPC$ is~\uline{~~~~~~~~~~}~$^{}\circ$
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
d68ae3a33d98427494ecd3ac34702711
1
short_answer
Solve the Equation. $$30 \%x+70 \%(20-x)=20\times54 \%$$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation" ]
2023-07-07T00:00:00
a5723a387628481d828499d1c34bdcfc
1
short_answer
SASMO 2014 A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Sharon has enough money to buy only 11 sweets. What is the biggest number of sweets that she can get from the shop?
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
60143fac73a641d4afc2cffe6b15a9e9
3
short_answer
In the ancient legend, there are four magical birds: the two-tailed bird (one head and two tails), the three-tailed bird (one head and 3 tails), the six-tailed bird (one head and six tails) and the eight-tailed bird (two heads and eight tails). The number of two-talied birds is 5 more than twice as many as the number of eight-tailed birds. The number of three-tailed birds is 2 more than half the number of six-talied bird. Given that the total number of their tails is 2 less than four times as many as the total number of their heads, and the difference between the total number of their heads and their tails is 241. How many three-tailed birds are there?
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems" ]
2023-07-07T00:00:00
44bd36d5b38b44949074bb84feb11ca3
1
short_answer
Natalie arrived at her friend\textquotesingle s birthday party at $$11.40$$ a.m. She stayed there for $$4$$ hours and $$50$$ minutes. What time did Natalie leave the party?
[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
2023-07-07T00:00:00
cf273ad7cc974df890c0f43328a5de3e
1
short_answer
What is the smallest two-digit number that can be divided by $5$ and $7$ to get a remainder of 4 ?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples" ]
2023-07-07T00:00:00
34e244879a6646619b79a8414c6a5f70
2
short_answer
Renee buy $$5\text{kg}$$ of sweets to sell. She pays £$$10$$ for the sweets. Renee puts all the sweets into bags. She puts $$250\text{g}$$ of sweets into each bag. She sells each bag of sweets for $$65p$$. Renee sells all the bages of sweets. Work out her percentage profit. ~\uline{~~~~~~~~~~}~$$ \%$$
[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Calculating Profit from Cost and Price" ]
2023-07-07T00:00:00
c8bc4498b3bb47adb5838b21d3e0bd8b
1
short_answer
Add together the numbers: $1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10$
[ "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
c756926469794615a094702ab4e29ea3
1
short_answer
$421\times 11=$~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00
4683962764924f4684ed92eb7591a368
1
short_answer
Ayton, Beeton, Ceeton and Deeton are four towns. Four roads link Ayton to Beeton. Five roads link Beeton to Ceeton. Six roads link Ceeton to Deeton. There are three roads link Ayton to Deeton. How many different ways are there from Ayton to Deeton?
[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication" ]
2023-07-07T00:00:00
1eb4f3669f2a43a5ba508ec8beae550e
0
short_answer
Find the value of □: $\frac{{15}}{{20}} = \frac{3}{□} $,□=~\uline{~~~~~~~~~~}~.
[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions" ]
2023-07-07T00:00:00
37136a98a87e4ccc8a809b51309fdb50
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->Concepts of Arithmetic Sequences", "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence" ]
2023-07-07T00:00:00
29a1fb0ba439450d99b96fff93b44d3a
1
short_answer
Find pair of numbers to form whole number, then calculate. $1003.67+108.98+9.08+102.33+32.02-3.08=$
[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals" ]
2023-07-07T00:00:00
5faf0bb3bd074227a53f6f2ca2666324
3
short_answer
The whole numbers from $$1$$ to $$2016$$ inclusive are written on a blackboard. Moritz underlines all the multiples of two in red, all the multiples of three in blue and all the multiples of four in green. How many numbers does Moritz underline exactly twice?
[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples" ]