Datasets:

YaHi

/

english_AAAI_Math

like 0

caaa1eddd8e44bef93f25acbc57b8371

1

short_answer

$12321\div37$

28774179acd44fbdaf5d40e780523af5

0

short_answer

A bookcase with seven shelves contains $280$ books, each shelf contains $3$ fewer books than the shelf below it. How many books are on the top shelf?

38bf844b32b44c12972bb035ec388106

1

short_answer

There are $3$ blue, $3$ green and $3$ white pencils in a box. At least how many pencils must Darrell draw from the box to get $$1$$ green pencil for sure?

bb1f1a78e8b14c55b2e4ca48c347db8c

1

short_answer

In a class of $32$, $\dfrac{3}{4}$~are boys, how many are girls?

6650434a14d84648b471103d681433eb

1

short_answer

Linda was then asked to determine the value of $n$, given that $\frac{2240}{n}$ is also a square number. Determine the value of $n$.

02bc5b84f38e437d928aa61c776bd24c

1

short_answer

Aaron likes to help his mother with chores around the house. He sweeps the floor every $3$ days, mopes the floor every $5$ days, cooks dinner every $9$ days and cleans the windows every $3$ weeks. He does all $4$ chores on the same day today. How many days later will he do all $4$ chores together again?

8b07fa55294340ce938279e09cfc9c8c

1

short_answer

A class has 44 students participating in competitions, 30 of whom participate in math competition and 26 in art competition. How many students participate in both math and art competitions?

3610afbddbce47998aebfb515c853f57

2

short_answer

A group of kids share a pack of candies. If every kid eats $$18$$ candies, then $$12$$ more candies are needed. If every kid eats $$15$$ candies, the candies are just enough to be distributed to $$2$$ more kids. How many candies are there?

0e28012c7afd408599dee757d5a607e6

2

short_answer

A textbook has $$310$$ pages, numbering from $1$ to $310$. What is the sum of all the digits numbering this book?

a3f51789234d477fb06391f3a221a5f8

2

short_answer

Calculate: $$22\times125\times8$$

e351511a62494ba0991dc2cdd9255710

1

short_answer

Avril is $8$ years old this year, and her dad is $5$ times as old as Avril. Find the age difference between Avril and her dad $2$ years ago.

2a7407914fcd4db5b094cbb7fb4b2b91

1

short_answer

If $9$ items cost £$6.30$, what will be the cost of $11$?

12630e7ba91647e9a662b2150bd08918

1

short_answer

Using a calculator, evaluate the following expression and round off to the nearest $3$ decimal places: $16.7-\sqrt[3]{\frac{(-4.56)^{2}-(8.1)^{3}}{7.2^{3}}\div\left[-\sqrt{6\frac{3}{4}}-(-30.15)\right]}$

dea0d88a56c14c18bf792f9e1d676070

1

short_answer

Oliver is $$20$$ this year, and Lin is $$26$$ this year, so how many years later will the sum of their ages be $$48$$?

e61ecccd8d4e46a5bae3436df379fd8e

1

short_answer

Jayden starts from place A, and Carter starts from place B. They walk towards each other at the same time. The speeds ratio of Jayden to Carter is $7:4$. After Jayden arrives to place A, he turns around immediately and keep walking until he meet Carter. If the distance between place A and place B is $440\rm m$, how far is their meeting place from place A?

f3a192a1a028460aa34b249e7e3af6b6

1

short_answer

$$7$$ years ago, the ratio of Mr. Lim\textquotesingle s age to Mrs. Lim\textquotesingle s age was $$6:5$$. The sum of their current ages is $$69$$ years old. Find Mr. Lim\textquotesingle s current age.~\uline{~~~~~~~~~~}~

7f06cc0235094faaa81a0a2fb9cab606

3

short_answer

Sam Sam and Peter had some stickers in the ratio 7 : 5. Sam and Peter each gave 20\% of their stivkers to John. As a result, John's stickers increased by 80\%. If Sam had 20 stickers more than John in the end, how many stickers did Peter have at first?

2ef9562fe8a044c3af3451bfe10a4c3b

1

short_answer

$$6$$ students participated a math competition, the score mean of $$5$$ of them is $$87$$. If add Jim\textquotesingle s score, the score mean of all of them will be $$88$$. What is Jim\textquotesingle s score?

914f071ea10440cebf9dbe8becbdbc9d

1

short_answer

Calculate: $$58+63+59+62+63+56+61=$$

4a241f99a7b844b08c465d23e0993893

2

short_answer

One-fifth of the length of a piece of wood measures 6cm. What is one-third of this wood?

b4b4e5c5437f4235a2a175fc8db815dd

1

short_answer

A TV costs $4200$ dollars. The store lowers its price by $$10 \%$$ at first, then lowers the price by $$20 \%$$ later. What is the price of the TV now?

f42746b63c97449b9bd8019271c9ec21

2

short_answer

A shop purchased some baseball bats at $$ $135$$ each. It then sold them at $$ $185$$ each. When the shop was left with $$3$$ bats, the proceeds had covered the initial total cost price plus a profit of $$ $2945$$. How many baseball bats did the shop purchase at first?

457a726196e141089b3e12d90241956e

1

short_answer

Raja and Kumar had the same amount of money at first. After Raja spent $ $$$$286$$ and Kumar spent $ $$$$109$$, Kumar had $$4$$ times as much money as Raja. How much money did each of them have at first?

34ba1fe6c4914c9988860c36d1caf4a3

2

short_answer

47 boys are going on a trip to the zoo by minibus. If each minibus can carry 6 children, how many minibusses will be needed?

5b0b415f20824bf48a8768e9f5d5ec26

1

short_answer

Given that $▲ + ▲ = ■$ and $■ + ▲ = ●$ and $♦ = ● + ■ + ▲$ how many $▲$s are equal to $♦$ ?

3518cc99e1f044c886a532f40ac85ca4

1

short_answer

A table cost ＄$$160$$ more than a chair. Mrs Lim bought a table and $$5$$ chairs for ＄$$328$$. Find the cost of $$1$$ chair.

9da061efc392431dbe6794c1c302e8e3

1

short_answer

$$879 + 268 =$$

bc4b9a02e5f940dead7da75f6c772177

1

short_answer

It takes $10$ minutes to fill a bath when using both the hot and cold tap at the same time. Water flows from the cold tap at twice the rate of the hot tap. How long would it take to fill the bath when using just the cold tap?

b36b7952db0b4b93a6507a61d91c0d4d

2

short_answer

There are $$10$$ numbers and their mean is $$1111$$, the mean of the first $$4$$ numbers is $$240$$ less than the mean of the last $$6$$ numbers. What is the mean of the last $$6$$ numbers?

0851ade8e456416a88c4d9132c4034de

1

short_answer

Pip has $$60$$p. Bud has £$$1.10$$. How much money do they have altogether?

6cd294ca2ca74856bd3764d49417e29b

1

short_answer

Rachel and Alice have some candy. If Rachel gives Alice $10$ pieces of candy, then they would have the same number of candy. However, if Alice gives Rachel $10$ pieces of candy, Rachel will have $4$ more than $3$ times that of candy Alice has. How many pieces of candy did they have in total originally?

779ed1e319ae4389b632ed4de525a437

2

short_answer

In the following, all the different letters stand for different digits. What is the value of $PI$? $IS + IS + IS + IS = PI$

1f8c8ba64a594dd29927d99fdf51836d

1

short_answer

At Think Olympics, Jack completes an $$800-$$meter race. He runs the first $$280$$ meters at a speed of $$7$$ meters per second, the middle $$400$$ meters at a speed of $$5$$ meters per second, and in the sprint stage, Jack runs at a speed of $$8$$ meters per second. Find the time Jack spends on the entire race (in seconds).

de8e499d6ea74617b2a986394b5a5443

1

short_answer

The ratio of Jocye\textquotesingle s speed to Lori\textquotesingle s speed is $3:2$. If Lori can run $2$ meters per second, how far can Jocye run in $10$ seconds?

0f0e737c506a401d8cff81ef9c2365a6

1

short_answer

You bought a bike for $1,000$ dollars. The bike depreciates at the rate of $12 \%$ per year. Find the value of your bike after $8$ years. ($1.12^{8} \approx 2.47596$ and $0.88^{8} \approx 0.35963$; round the result to the nearest tenth)

e7ebfcda9f0740958ddcaf89fb51bd23

0

short_answer

Work out $$727+482$$. ~\uline{~~~~~~~~~~}~

399c54f13ae4483e856b4165e9f0062f

1

short_answer

The probability of an animal A living over $$20$$ years old is $$0.6$$, and the probability of living over $$25$$ years old is $$0.3$$. If there is a $$20$$-year-old animal A, what is the probability of it living over $$25$$ years old?

270f382989f44eca81a1f3f8761a46cb

2

short_answer

Don walks towards the library at a speed of $$60$$ metres per minute. His brother, Danny, returns from the library at the same time. They meet $$360$$ metres from their house. How fast can Danny walk if the library is $$780$$ metres away from home?

c2a559c3b6124e8a9ad447bce30b9d43

1

short_answer

A football competition was held between five Year $$6$$ teams. Each team played every other team once. How many games did the teams play in total?

1302114e84374d8f8d8fde77c6f270af

1

short_answer

A book uses $$792$$ digits for printing its page numbers. How many pages does the book have?

2266bba4c5654df6ac5b7df6d9d4e424

1

short_answer

The spring sports meeting is coming soon, and every student in Class 1 of Grade 6 has signed up for at least one event. If 40 students are participating in rope skipping and 31 students participating in the long jump, and 21 students participating in both events, how many students are participating in only one event?

1ea732c5a49c4c82bed4097a4a8a3cc3

1

short_answer

Anne mixed $1$ kg $500$ g of flour, $1$ kg $200$ g of brown sugar and $900$g of butter in a bowl. She then divided the mixture equally into $8$ cake tins. How much mixture was there in each cake tin?

9af3526725c54d168b001b25839f37fd

1

short_answer

$\left( \frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\cdots+\frac{1}{10}\right)+\left( \frac{2}{2}+\frac{2}{3}+\cdots\cdots+\frac{2}{10}\right)+\left( \frac{3}{3}+\cdots+\frac{3}{10}\right)+\cdots\cdots+\left( \frac{9}{9}+\frac{9}{10}\right)+\frac{10}{10}$.

42bf42bdc05245e899b8ef7be48f6759

2

short_answer

$$A$$, $$B$$, $$C$$, and $$D$$ are lining up to take a picture. $$A$$ and $$B$$ can only stand on the far right or far left. How many different ways can they line up?

bed68fc453f94368b47e0f9de6b2c0bd

1

short_answer

Find $x$. $$51-(15-2x)=11x$$

e7c5db2d941e4d1f9962ca19c545eb0e

0

short_answer

Find the value of □: $\frac{{20}}{{30}} = \frac{□}{27} $，□=~\uline{~~~~~~~~~~}~.

cb99f14cb28547ce8a12013d9b435b2b

2

short_answer

There are $$10$$ red marbles, $$5$$ blue marbles and $$8$$ green marbles in a bag. If Janice has only one chance to take marbles out from the bag without looking into the bag, what is the minimum number of marbles she must take out from the bag to ensure she gets at least $$4$$ marbles of the same colour?

57bb5b4044d043d7ab2ed365ec7917fa

1

short_answer

How many different two-digit numbers can be formed using the numbers $$1$$, $$2$$, $$3$$?

c781c988a20442c8b61fad38f74231ea

0

short_answer

Form the smallest $$4$$-digit even number with the digits given below. Each digit can be used at most once. $$4$$、$$5$$、$$7$$、$$9$$

1a41fe933c714f5dbf0d2b6b1a44c69f

1

short_answer

A two-digit integer has remainder $5$ when it is divided by $7$ and remainder $11$ when divided by $13$. What is the largest possible value of the number?

514cdf8bac23435c8c06bbdf81e64567

2

short_answer

If $$3$$ workers take $$3$$ days to build a wall, how many days will $$1$$ worker take to build the same wall?

307ab345fabd4b8aaff4b7d5917794fd

1

short_answer

If $$a=1$$, $$b=2$$, and $$c=3$$, then $$\overline{abc}=123$$. Given that $$A=\overline{xy}$$ and $$B=\overline{2xy}$$, if $$B$$ is $$25$$ more than six times of $$A$$, what is the value of $$A$$? John attempted to answer the question in this way: Since we have that $6\times \overline{xy}+25 = \overline{2xy}$, then $60x+6y+25=200+10x+y$ which implies that $10x+y =45$ and so $\overline{xy} = 45$. Is he right or wrong? If not, solve for the correct answer.

c98d52b67705466d8ba4e69027df1a56

0

short_answer

Insert one or two pairs of brankets in the equations below. How many different results can you work out? $$285+15\div5-2$$． $$285+15\div5-2$$． $$285+15\div5-2$$． $$285+15\div5-2$$．

bc2eaa05c2644d01acc25bd3b154dd7d

1

short_answer

$39$ pupils lined up in $3$ equal rows. How many pupils were there in each row?

f3cda231135d443db7dbdf86f98d01dd

1

short_answer

Look at the following two equations $a + 12 = 16$ $2a + b = 18$ Use both these equations to work out the value of $b$.

41c7afc767ed40daaa39d2def9f0bda4

1

short_answer

$$100$$ boys are standing in front of their lockers, numbered from $$1$$ to $$100$$. ~At the beginning, ~all lockers are unlocked. ~$$A$$ teacher calls out \textquotesingle$$3$$\textquotesingle, only those boys whose locker numbers are divisible by $$3$$ will lock their lockers. ~The teacher then calls out \textquotesingle$$5$$\textquotesingle, only those boys whose locker numbers are divisible by $$5$$ will unlock their lockers if they are locked, ~or lock their lockers if they are unlocked. ~How many lockers will be unlocked at the end?

c27708a444de416daece772484d27182

1

short_answer

There are 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 refuse to be next to each other and F and G want to be next to each other, how many ways are there to arrange them?

b6d01c501c18487f9e4f3f79d7526cce

1

short_answer

Nicolas and Yiding are climbing the stairs with different speed. They both start from level $$1$$. When Nicolas reached level $$4$$, Yiding reached level $$3$$. Continue with this speed, when Nicolas reach level $$16$$, Yiding will be at which level?

4a96b08695f1451ab05c1c722f12a959

1

short_answer

Lucy wants to buy some cakes. If she buys $$10$$ cakes, she need to borrow 11 dollars. If she buys $$13$$ cakes, she needs to borrow $$26$$ dollars. How much does one cake cost ?

c9848b7f2bdb4b02b6a8315b987132c2

1

short_answer

Four boys have an average mass of $$50\text{kg}$$ and six girls have an average mass of $$40\text{kg}$$. What is the average mass of the ten children?

cc9a4ae09bbb496aaa4271ae07c4779f

1

short_answer

A number when divided by $$12$$ gives $$11$$ remainder $$5$$. What is the number?

418d9f95c94b4bab93c8e3700c845d5e

2

short_answer

What is the value of~$\dfrac{1}{2-3}-\dfrac{4}{5-6}-\dfrac{7}{8-9}$~?

abaab11ba949453489f49e64542f6792

1

short_answer

Which number is halfway tetween $$4.6$$ and $$13.8$$? ~\uline{~~~~~~~~~~}~

f1c6632cac7d493a881d8e10eab95ae1

1

short_answer

A cricketer plays in $5$ matches. He scores $37,53,x,29$ and $41$. His mean score is $40$. What is $x$?

52dedf9ce05e4ea3a7d65ae01e1338d3

0

short_answer

How many palindromic numbers are there between $$1000$$ and $$9999$$ inclusive? Answer :~\uline{~~~~~~~~~~}~

938ae204da174d739962f4162d4b20e8

1

short_answer

Work out $$4336 \div 8$$

e00d2baa889045a6810756a5f6ded27b

1

short_answer

In how many ways can the letters in the word \textquotesingle CHEESE\textquotesingle{} be arranged?

06ccb550f9c94b6e88edf78ee248277b

1

short_answer

How many three digit numbers contain at least two sevens?

707f06cacc044e1d85aef697dea2c32f

3

short_answer

\textbf{Percentage Single Base} 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?

7c5a2dda1a89437a812dee6e6d3c8006

2

short_answer

My special six-digit number has a $9$ in the units column. If I remove the $9$ from the units column and place it at the left hand end of the number, but leave all the other digits unchanged. I get a new six-digit number. This new number is four times my special number. What is my special six-digit number?

8f0a469087a3468e9dd6d097faa4382a

1

short_answer

A division gives a quotient of $$12$$ and a remainder of $$3$$. What is the minimum value of the dividend? Pip\textquotesingle s Answer: The smallest possible divisor is $$1$$, so the minimum value of the dividend is $$1\times12+3=15$$

9e16012db73740a0b2623e56b90ddb02

1

short_answer

Abigail is $6$ years older than Jonathan. Six years ago she was twice as old as he. How old is Jonathan?

85287eb8abe94dc69ff3f32348aa3828

1

short_answer

Alice can do a job in $$40$$ days and Bob can do it in $$60$$ days. They decide to work on the project together, but Alice takes some days off in the middle of the job. If they finish the job by the end of the $$27^{}\rm {th}$$ day, how many days does Alice take off?

1079de7a7656466a8e5c71823b1f57b3

1

short_answer

It is given that $$a \otimes b = a\times b+a-b$$. For example, $$2\otimes 3 = 2 \times 3 + 2 - 3 = 5$$. Find the value of $$4\otimes3 - 3\otimes4$$.

f67eff9f23014ecb8eded92248463a7b

2

short_answer

In the following, all the different letters stand for different digits. What is the sum of $A + B + C + D$? $ABA + CDC = 726$

219697dc832b445ca3d9d8288e536ba3

1

short_answer

Pip and Bud have $$10$$ candies in total, Pip has $$2$$ more than Bud. How many candies does Pip have?

11e8ba58465f4c138c8725a020c95ec7

2

short_answer

$3$ apples and $2$ bananas cost~£$1.25$. $1$ apple and $1$ banana cost~£$0.48$. Work out how much it would cost to buy $5$ bananas.

66dcd5cada06407ba1e9153afc26043f

1

short_answer

Makayla had $ $200$ in her piggy bank at first. Her mum then rewarded her for doing well in school, by increasing the amount of money in her piggy bank to $ $250$. What is the percentage increase in the amount of money in her piggy bank?~\uline{~~~~~~~~~~}~$ \%$

b9373bcf833d4821b3f8fcb64de110d4

1

short_answer

What number between $$30$$ and $$40$$ is divisible by both $$3$$ and $$4$$?

1848190c71c645c0997874fe8ca76815

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?

5262af77457a47089064b6dc77839b82

1

short_answer

Henry wrote some digits in the following sequence: $$2$$，$$0$$，$$2$$，$$0$$，$$0$$，$$2$$，$$0$$，$$2$$，$$2$$，$$0$$，$$2$$，$$0$$，$$0$$，$$2$$，$$0$$，$$2$$，$$\cdots $$ If he wrote a total of $$535$$ digits, how many of digit $$2$$ did he write?

a4663920546242aeb50c5eaeaf379262

1

short_answer

Find the remainder when $$36\times 37\times 38\times 39\times 40\times 41$$ is divided by $$7$$．

caad5339582b4857888fcff1cca8c78e

1

short_answer

$126$~ $\div$~ $2$=

ccbbcf445df24e4ba0699d6f1e37b90a

1

short_answer

Find the value of the following expression. $$1000\div 17+2000\div 17+2100\div 17$$．

070c04e9775b4292869eedb678f57b8f

1

short_answer

There are 5 apples in one box. How many apples would there be in 6 boxes?

b152c6eb52ea4a47bee276fd7fdc5526

1

short_answer

Given that $$4 \Delta 1=17$$, $$5 \Delta 4=29$$, $$8 \Delta 16=80$$ , then $$10 \Delta 9=$$~\uline{~~~~~~~~~~}~.

ff8eaf85f9494a4bb58b4c2de7f7a467

1

short_answer

Pamela baked $$85$$ cookies in the morning and $$135$$ cookies in the afternoon. She gave $$55$$ cookies to her friends in the evening. How many cookies does she have left in the end?

bf206205208a4e6aaa3f21b6175f11a0

1

short_answer

Work out $3102 \div6$

539ace63a9a84f38adf540a759c0f768

1

short_answer

Owen had some fifty-cent and one-dollar coins. $\frac{2}{7}$ of his coins were fifty-cent coins. His mother gave him $10$ one-dollar coins and five-dollars\textquotesingle~worth of fifty-cent coins. In the end, he had twice as many one-dollar coins as fifty cent coins. How many coins did Owen have at first?

11fb94abf2634f198729473920061c7d

1

short_answer

（$$2016$$ Henry Park Primary School, Quiz $$1$$, Primary Two, Question \#$$16$$） There are $$863$$ passengers on a plane. $$354$$ are men, $$165$$ are children and the rest are women. How many women are there on the plane? There are~\uline{~~~~~~~~~~}~women on the plane.

c3879ebf82934b73a62fb270f35eee17

1

short_answer

The tickets for a charity show were ＄$$5$$ for each adult and ＄$$3$$ for each child. $$19$$ tickets were sold. The total amount for the sale of tickets was＄$$75$$. How many adult tickets were sold?~\uline{~~~~~~~~~~}~．

277ff5ac1d264964a4d29eb33ba74058

0

short_answer

A dress costs thrice as much as a belt. The shirt costs twice as much as a dress. The difference between the cost of the shirt and the cost of the belt is $$$155$$. How much more does the dress cost than the shirt?

d9a025512c6941b6b97c54521e40115c

2

short_answer

Anna, Betsy and Charlene had a total of $$168$$ marbles. Charlene gave $$15$$ marbles to Betsy. Then, Betsy gave $$8$$ marbles to Anna. In the end, the ratio of the number of marbles that Anna had to the number of marbles that Betsy had to the number of marbles that Charlene had is $$2:5:7$$. How many marbles did Betsy have at first?

56a6e5f6729f412081b2719e7253346e

0

short_answer

Brenda saved $$$6$$ each day while Andy saved $$$7$$ each day. How much money would Brenda have saved when Andy saved $$$378$$?

d4ec077973ca41e3a9584a6faecfcac3

1

short_answer

There are $10$ questions in a science competition. A person gets six points for a correct answer and loses two points otherwise (getting a wrong answer or skipping a question). Eddie answered all questions and got $44$ points. How many questions did Eddie answer correctly?

9060af40a1724e5887ca3ecd529e790f

2

short_answer

A cuboid was made using clay. Candy made some changes to the size of the cuboid. She increased the length by $$10 \%$$ and reduced the breadth to $$\frac{4}{5}$$ of the original breadth. The ratio of the new height to the original height is $$11:10$$. Express the new volume of the cuboid as a percentage of its original volume.

4bdb0a33fd034a4a9f038d5763df3bfc

1

short_answer

Calculate:~$52\div\dfrac{2}{3}$

db664e372bde470cad3851d48f1d711a

1

short_answer

Work out $52836\div7$

218af0df4ee747b79d4247767d1fee5a

0

short_answer

How many ways can we award a gold, silver and bronze prize among eight contestants?

0fc0dda3957d4f01b0dccedf0adc5e89

2

short_answer

There are ten points on the circumference of a circle. How many triangles can be formed by using any three points as their vertices?