Datasets:

YaHi

/

english_AAAI_Math

like 0

5810f2c593d14c5d83787fff4babe6f3

1

short_answer

How many different three-digit numbers can be formed using the numbers $$0$$、$$2$$、$$3$$?

8bebcb024a134af6bd81b9505fe32657

1

short_answer

In a military parade, a parade of $$31$$ colorful cars. The first car is $$6$$ meters long, the rest of each car is $$4$$ meters long. Before and after each car is $$5$$ meters apart, how long is the total length of the train?

5635691adc5141a8867ba1ea8124d38e

1

short_answer

Part of a number sequence is shown. $\cdots \cdots, 105, 120, 135,\cdots \cdots $ If these are the $7^{th}$, $8^{th}$~and $9^{th}$~values in the sequence, what is the $100^{th}$?

e1990839b31d461db3729e71325eabbd

1

short_answer

Pip has 5 boxes of chocolates. Each box has 10 chocolates. He gives 23 chocolates to Helen. How many chocolates does he have left?

d1a178f9942d41d9a82ed3706f2e8f56

1

short_answer

There are four cards as shown below. $$\boxed{0}$$~ ~ $$\boxed{3}$$~ ~ $$\boxed{5}$$~ ~ $$\boxed{8}$$ Using each card only once, how many different $$4-$$digit numbers which are greater than $$5000$$ can be formed using the four cards?

4ff16f5b62234dcaa6dfb47ec0b97611

1

short_answer

Seven students A, B, C, D, E, F and G line up. If A wants to stand in the middle of B and C (not necessarily next to each other), D and E want to be next to each other, how many ways are there to arrange them?

eb2770c6e3204216b75646ea3e20a071

1

short_answer

$5272\div4$

6e587e1396e4469da9fb76d1a63500a8

1

short_answer

Sue, Sarah and Ian share some sweets in the ratio $2:3:5$. If Sarah received $12$ sweets how many sweets were there in total?

0ff88920dd05452c8edcdf168d81d61a

1

short_answer

Malcolm buys $7$~packets of biscuits at $73\text{p}$~each and $9$ large cakes at £$1.13$~each. How much change will he receive from a £$20$~note?

5526c23ffd024f3697e30d23a595af55

1

short_answer

A baby crocodile grows by $$\frac{1}{5}$$ of its length every week. Today it is $$30\text{cm}$$ long. How long was it last week?

66db04ea675e442a808a4648e3bb0e13

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~\uline{~~~~~~~~~~}~ℓ ~of petrol in his motorcycle altogether.

64578896b85247a5bc8033060abe3385

1

short_answer

$$734 \times 58$$

8b535506c66e4092b2c7ac1a8fd5a43f

1

short_answer

Jack has $6$ piles of apples. How many apples will he have if there are $8$ apples in each pile?

973a7aa6ad0b475ca38055bf318f176b

3

short_answer

Sam had 40 stickers more than Peter. Sam gave 20\% of his stickers to Peter. In return, Peter gave 25\% of his stickers to Sam. In the end, Sam had 96 stickers more than Peter. How many stickers did Peter have at first?

0e99723387294b9f9f858dfe311b994f

1

short_answer

$$1.8-0.57$$

a520cd6b98004192bc4c2d780f54359e

2

short_answer

Jessie has $4$ different tops and $5$ different bottoms. She wants to pick $1$ top and $1$ bottom to wear for her first day of school. How many different combinations of clothes are available for her to wear? Jessie used her math knowledge to help her count the number of combinations. $4+5$ = $9$ She declared that there are $9$ different combinations. Is Jessie correct? If not, circle out her error and find the correct number of combination of clothes available.

f6c67f2f93b44bc79f64e534dcd8fb1b

1

short_answer

Pip thinks of a number. When the number is divided by $$4$$, the remainder is $$3$$. When the number is divided by $$5$$, the remainder is $$3$$. When the number is divided by $$6$$, the remainder is $$3$$. When the number is divided by $$9$$, the remainder is $$3$$. What is the smallest number meeting the requirements?

d995898eb3f8495b80d5b29890be42a1

1

short_answer

Benson played for $$10$$ minutes after reaching home. He watched television for another $$20$$ minutes before taking his lunch. His lunch, which lasted for $$20$$ minutes, was finished at $$2.50$$ pm. At what time did Benson reach home?

e4365323b3f24240b896655358cb30ad

1

short_answer

Natalie arrived at her friend\textquotesingle s birthday party at $$12.40$$ p.m. She stayed there for $$2$$ hour and $$40$$ minutes. What time did Natalie leave the party?

b7b9b80dff99475f987ad65337577b2b

1

short_answer

How many $$3-$$digit and $$4-$$digit numbers can be formed using each of the $$4$$ digits from $$2017$$ at most once?

d47ef27ff4d24d97b0950971a5d0ebae

1

short_answer

$$3(x-5)-3=6$$．$x=$~\uline{~~~~~~~~~~}~

9008be14593f40169be1110ccfe7e329

0

short_answer

Find the smallest possible whole number which leaves a remainder of $2$ when divided by $3$, $4$ or $5$ and leaves a remainder of $1$ when divided by $7$.

9fcfa23fda9646908ef7e4baafdfbb8e

0

short_answer

Work out $$6\frac{1}{2}\div \frac{1}{2}$$. ~\uline{~~~~~~~~~~}~

9fc589a666df49d2893ceb77b7ad8793

1

short_answer

Work out $$887+96$$ ANSWER~\uline{~~~~~~~~~~}~

238dd80b8a46477eaafb237f243e1492

1

short_answer

Given an arithmetic sequence: $$5$$, $$8$$, $$11$$, $$14$$, $$\cdots$$, if there are exactly $14$ terms in the sequence, what is the sum of the terms in this arithmetic sequence?

b89dd263e0b74d39b39fc4d3fdbfb49e

3

short_answer

There are in total $$181$$ digit "$$9$$"s in all of the page numbers of a novel, how many pages are there in the novel?

de62c39c82f94cadada80699ccead608

2

short_answer

Jason is a crystal miner, he has mine some crystals. He sold $10$ more than half of his crystals to Yvonne. Then, he mined $20$ more crystals in Singapore. After that, he sold $14$ crystals to Cherlyn. He has $35$ crystals in the end. How many crystals does he have at first?~\uline{~~~~~~~~~~}~crystals

bc434e7f2cc44029adcb3a3799e67e66

1

short_answer

The rabbits in a zoo have three colours: black, white, and grey. All of them are lined up in a row repeating this pattern: $1$ black, $2$ white, $2$ grey. If there are $14$ grey rabbits, at least how many rabbits are there altogether in the zoo?

74259b5e9ab14d9f87fc462cc2c9c9c4

2

short_answer

Three (different) numbers are selected from $$0$$, $$1$$, $$5$$ and $$8$$ to form a three-digit number, find the difference between the smallest three-digit number and the largest three-digit number formed.

249b1679bd9a4e0cab73014b4563c817

1

short_answer

At the school scavenger hunt, class $A$, $B$, $C$ each has $12$, $15$, $18$ students who want to participate. 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?

a2724e23a1a2486ba4b16942479338fe

1

short_answer

Nini found a dusty old treasure chest hidden in her attic. She does not know the password, however she does know that the password is a four-digit even number consisting of the digits $$1$$, $$2$$, $$3$$, and $$4$$, and that digits cannot be repeated. How many different ways can she guess the password?

b00aab6ff6404d4c8fdb343288b6e0d9

1

short_answer

$37\times27=$~\uline{~~~~~~~~~~}~

19787e6cd66e47d59c4f1aa7b622367f

1

short_answer

How many positive factors of $$180$$ are also multiples of $$9$$?

780536f26cf94aaead22cb26adb13a45

1

short_answer

Sarah is $24$ years old. Peter is half as old as Sarah. Mike is~$\dfrac{2}{3}$ of Peter\textquotesingle s age. What is their total age?

ac06ad0afb9a4d7289d8a8d0c7948dbb

1

short_answer

$25\times6=$

2fca64d5949f47de80b3591fd9ab16fc

1

short_answer

Determine the value of $u$ in the equation: $340-2u=5u-220$

45c4e765f9d9484cb09882339459ff20

2

short_answer

In the number $$26a539$$, what value does the digit $$a$$ have to be, if the number is divisible by $$9$$?

cb7a55fac46240dfb8afe8d50e4bb828

1

short_answer

James deposits＄$$10000$$ 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?

eff977d9b7e24c4898ee8a2de20024aa

0

short_answer

Yi-yen and Kyra has a total of $$100$$ stickers. The number of stickers Yi-yen has is $$4$$ times of Kyra. How many stickers does Yi-yen have?

48194ec32ba347e09ddad0af6959c376

1

short_answer

A box of chocolates costs £$2.89$. How much would you pay for $12$ boxes of these chocolates?

5dfa1ffa102441ac98eb20610ee9be00

1

short_answer

Refresher sweets cost $12$ pence each or three for $30$ pence. What is the maximum number of Refresher sweets Roma can buy for £$2$?

f9e42807c5be4058858957db5e1c9c1f

1

short_answer

When May is $$7$$ years old, her neighbor, Kenny tells her, "When you are $$10$$ years old, the sum of the ages of my younger brother and I will be $$3$$ times that of your age." If Kenny is $$2$$ years older than this younger brother, how much older is Kenny than May this year?

45a248898f1c4807b784e259bea7cd69

1

short_answer

How many different ways are there to put $10$ identical balls into $7$ different boxes, with at least $1$ ball in each box?

bc11b31a4a6140a59472be824b99ccf9

2

short_answer

Felix and John are playing a game that requires them to eat a total of $$10$$ candies. They take turns eating and each can eat either $$1$$ or $$2$$ candies at a time. The person who eats the last candy wins this game. Should Felix go first or second to ensure victory? What strategy should he use in order to be the winner?

31e292cd70e349bb90992c388528e37a

1

short_answer

Maths Olympiad 《The Excess - and - Shortage Problem》 Pr$$3$$\&$$4$$ Question \#$$6$$) Mr Nelson is changing the water in his fish tank. If he uses a $$5$$-litre pail, $$4$$ litres of water will overflow. If he uses a $$3$$-litre pail, he needs another $$4$$ more pails of water. How many litres of water are needed to fill the fish tank?

49251eb5b4424b0f98bd1041d8e0da15

1

short_answer

$$3\left( x+3 \right)=50-x+3$$．$x=$~\uline{~~~~~~~~~~}~

00ac4d063d6648e78bb7009c03d426bf

1

short_answer

To repair a $$305$$-meter-long water pipe. If the length of each water pipe is $$5$$ meters, approximately how many water pipes are needed?

850134f061fd402ea63d73775d0910fc

0

short_answer

$$$$Calculate.$$$$ $$(38+8\times9-15)\div 5$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$

b4734a26463d4091ba7a023c1ba461ca

2

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?

89fd0157409641fc9cb98637c2461cfa

1

short_answer

In a book, the digit \textquotesingle$3$\textquotesingle~appeared $28$ times, including the last page. How many pages are there in this book?

4e3792c14b8148b28eb1c6fbd6164292

1

short_answer

Zoey had a $50$-cent coin, a $20$-cent coin, a $10$-cent coin, and a $5$-cent coin. After she lost one coin, she found that she had twice as much as her brother. What coin did she lose?

697ff89b7a8e49d59bb66c994a87d7b9

2

short_answer

There are $20$ students in a group, including $8$ girls and 12 boys. Teacher wants to pick 4 girls and 3 boys to participate in the competition. How many different ways are there?

09a97d605e2e4cabb643032c99b282ed

2

short_answer

There are $5$ different whole numbers. The average of some $4$ of these $5$ numbers is $36$, $38$, $39$, $45$ and $49$. What is the largest number among these $5$ numbers?

0f831cd802e74004acc53b99817c46c5

1

short_answer

You have to catch the bus after school. Buses leave school at $$15.55$$ and $$16.35$$. If you are $$4$$ minutes late for the first bus, how long do you have to wait for the second bus?

de21fb1f2c5c4002bd75f2837252b916

1

short_answer

$$456-(170-144)=$$~\uline{~~~~~~~~~~}~

804f12c690c0453fbb8f0a21ecaea5b2

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{~~~~~~~~~~}~

6161662a5ed44368b8a03f001cc375ea

1

short_answer

The students are planting some trees along a 40m long road. The distance between every 2 tree is 5m. How many trees did they plant altogether?

aba1fa935b644d9ab044d095de69983d

1

short_answer

A lorry can carry $8$ workers only. Find the smallest number of lorries needed to carry $70$ workers.

02d7ef47aaab4c4bbec478d089387344

0

short_answer

In a concert hall, there were $$4$$ times as many women as men. If the number of women was $$126$$ more than the number of men, how many people were there in the concert hall in total?

c78925a177374d8b82f3a67f599df2e0

1

short_answer

Andrew is three times as old as Louise. The sum of their ages is $84$. How old is Louise?

43b3978e200e47a993909c47ecd3ded2

1

short_answer

Linda was reading a comic book last week. She read $40$ pages in the first three days, and then read an average of $20$ pages per day in the next four days. Finally, she read $60$ pages in the last two days and she finished reading this book. How many pages are there in this book?

324ea1c40561423abe7bda23ae7ac925

0

short_answer

A positive three-digit whole number less than $$200$$ has remainder $$3$$ when it is divided by $4$ or $5$ or $9$. Find the number.

8389523689d7482abe8ecaa9a5b6b9ca

1

short_answer

A boarding school dorm is arranging new-coming students. If $4$ students live in one room. there will be $6$ students with no room to live. If $5$ students live in one room, there will be $1$ room without students. There are~\uline{~~~~~~~~~~}~students in total.

a1289345588b4eea9e075413d1d189c7

1

short_answer

Tom rolled $$3$$ standard six-sided dice of different colours. Each dice has $$6$$ faces with $$1, 2, 3, 4, 5$$ or $$6$$ dots on each face. The number of dots on each of the rolled dice is different. How many possible ways could Tom get the sum $$12$$?

06964238b9a24ef7b303a09d9b1c85c7

2

short_answer

Bill and his three grandsons have the same birthday. Today, Bill is $$70$$, and the age of his grandsons are $$6$$, $$12$$, $$18$$ respectively. How old will Bill be when his age is the sum of his three grandsons\textquotesingle{} ages?

28537d9f7465445e968eb0b26a4a451c

1

short_answer

A bag of sugar weighs $$1\text{kg}$$ and the pasta weighs $$50$$ grams. A handful of spaghetti weighs $$15$$ grams. How much do these things weigh altogether in grams?

1774a1190e9c46c2aacaa2e8fc28e2da

1

short_answer

The mean (average) of seven numbers is $9$. One number is removed and the mean increases to $10$. Find the number which was removed.

2758e86259aa42e29a0318d2bdb3a711

0

short_answer

There are $120$ people at a party. $\frac{1}{3}$ of the people leave the party. Work out the number of people still at the party.

9562aafe97384f7ea95275fcb79e1da2

1

short_answer

At Frantic Junction, trains arrive at regular intervals on three different lines. On the line from Aytown, trains arrive every $$15$$ minutes. On the line from Beeville, they arrive every $$12$$ minutes and from Ceeford they arrive every $$8$$ minutes. At $$10:00\text{ am}$$ a train from each town arrives at Frantic Junction. What is the next time that three trains will arrive together.

fd395dd46af44c2fba9a202703ad88e8

1

short_answer

Solve $$5x+1=16$$

314a52b81cf948798c3eb0b23a09fb4e

1

short_answer

There were $$20$$ questions in a maths quiz. $$5$$ marks were awarded for a correct answer. $$2$$ marks were deducted for a wrong answer or no answer it.How many questions did Eddie answer correctly if he got $$79$$ marks in the maths quiz?

60370cf36b164039b0b08b75d45daf26

2

short_answer

In a class of $$52$$ students, there are $$30$$ swimmers, $$35$$ cyclists and $$42$$ playing table tennis. What is the least possible number of students who play all three sports?

770aa7f2ec2448dfb419dc832282a417

0

short_answer

$$56-4(20-6x)=48$$．x=．

98f594e37f074962982921040758a2f4

1

short_answer

A comic book, Foodola Town, has $105$ pages. Numbering from page $1$ to $$105$$, how many times is the digit $$0$$ printed?

7a6352d69d43478d857666ac24c5efac

1

short_answer

Calculate the value of $$(3999\times2014.2014+3999.3999 \times 2014)\div12.0012$$.

12599cd086b74a6dbee49affc2b9da94

1

short_answer

A train takes $$30\text{s}$$ to pass a tree. If the length of the train is $$360$$ meters, find the speed of the train.

8d509648485641b48c77ecbbb044bdcf

1

short_answer

Jacob has $6$ piles of apples. How many apples will he have if there are $8$ apples in each pile?

499aa61be1124476bb26bc1e720b0c26

1

short_answer

A snail wants to climb out of an $$11-$$meter burrow. It climbs up $$3$$ metres during the day and slides down $$1$$ metre at night. Exactly on which day can the snail climb out?

06b1e5f9947e4439b6bdd18c70668419

1

short_answer

There are $$12$$ red, $$9$$ blue, $$8$$ yellow and $$3$$ red marbles in a bottle. At least how many marbles must be drawn to ensure that there are $$4$$ marbles of different colours?

a8c99058f45b4a2a8e447d1b68ae74bc

1

short_answer

What if there are $8$ Chinese restaurants, $6$ Mexican restaurants and $4$ fast food restaurants? How many different choices does Eddie have this time?

6c11b151fed94fb483ea9f5b76290855

1

short_answer

In a game, a number of people stand evenly spaced in a circle. Each person is given a number $$2$$, $$4$$, $$6$$, $$\cdots \cdots$$ Number $$10$$ stands directly opposite to number $$24$$. How many people are playing the game? ~\uline{~~~~~~~~~~}~people

1a58479ac34b4689bdb3e7c074f88212

1

short_answer

Adam\textquotesingle s weekly pocket money is ＄$$80$$. On average, $$20 \%$$ goes to books and stationery. He spends $$3$$ times as much on food as he does on transport. The money he saves is ＄$$6$$ less than his expenditure on food. How many percent of his pocket money goes to savings?

a033d32f04c4454c8b6d34df01854889

0

short_answer

Fill in the box. $$7.54+\square=7.72$$

d9ed06f56ae74dfcb2fd97b178c32dea

1

short_answer

Meling\textquotesingle s age this year is a factor of $$66$$. Four years ago, her age was a multiple of $$6$$. What is Meiling\textquotesingle s age this year?~\uline{~~~~~~~~~~}~

541674da97474788b63ff77b2d0287bb

1

short_answer

Robot $$A$$ can move every $$24$$ seconds. Robot $$B$$ can move every $$64$$ seconds. Both robots have just moved at the same time. In how many seconds will they move at the same time again?~\uline{~~~~~~~~~~}~seconds.

3daa406fe23b4025ab00fffd6760fde8

2

short_answer

Find how many numbers between $$3267$$ and $$5120$$ can be formed using the digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$ and $$6$$, with no digit being repeated.

6829f51b13a0426fb1a619b064401568

1

short_answer

I am a $$2-$$ digit number. I am a factor of $$75$$. When I am divided by $$6$$, there is a remainder of $$3$$. What number am I?

bf31842e59b84f869bdd3a0411e455df

1

short_answer

While solving a two-digit subtraction problem, Little Miss Careless saw the subtrahend wrongly. She wrote $41$ instead of $14$ and got $50$ as her answer. What should be the correct difference?

93403cabcded4b63968e13348f241754

1

short_answer

Solve the equation below： $$34-3\left( 2x-2 \right)=16$$. x=．

a778b5cfeeed482b83f37aa61c3b6eb5

2

short_answer

Calculate: $$40-38+36-34+32-30+28-26+24-22=$$

5384b43a54f049ec9c65ebb35ee718c1

1

short_answer

After Justin ate $4$ apples and his four tiny sisters ate $5$ apples each, there were $20$ apples left in the basket. How many apples were there in the basket before they ate any? (Adapted from 2009 Math Kangaroo Problem, Level 1---2, Question \#7)

86d0f1125cdd46ac9604c4d192220e10

0

short_answer

$$45.36+1.25+2.75+4.64$$

ae3921e4e39849ffbe3f0c238b81b81b

1

short_answer

James borrowed $5,000$ dollars. The interest on the loan was compounded annually for $4$ years, and the interest rate remains the same. After $4$ years, James owed $7,320.5$ dollars. What was the interest rate? ($1.2^{3} \approx 1.728$ and $1.1^{4} \approx 1.4641$ )

df97cfc5a9874cc7aac262f019e950a2

1

short_answer

Soldiers in an army lined up in a square array, and a total of $31$ soldiers from another team joined their array, which added exactly one row and one column to the array. Find the total number of soldiers in the array now.

3b5e11ff28904b30b8919884597986b5

2

short_answer

Calculate: $$888\div 24$$ =

c3b93f4ccd0047d9b0123beb59667db6

1

short_answer

What number goes in the box? $$\frac{3}{\square}$$ of $$56=21$$

3009ddde568d44929af80990edfca6a6

2

short_answer

Calculate: $$(3.2+6.77 +8.88)\times (6.77 + 8.88+6.3)-(3.2+6.77+8.88+6.3)\times (6.77+8.88)$$.

f43eb58f48b14c988c4e389d78a71faa

0

short_answer

Mandy saved a total of $$$4410$$ from January to March. She saved $$$2450$$ in January and $$$855$$ in March. How much money did she save in February?

a7e6156c711b427a80b6ffdd8bebbce8

1

short_answer

Find the percent of change from $176$ to $88$.

644892f23d5d42ca9787cd008215de03

1

short_answer

It takes me ten minutes to paint a picture. How many pictures could I paint in one hour and twenty minutes?