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english_AAAI_Math

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54dfc5bdf157460ba47b99d87cd73558

1

short_answer

$55~\times 13 − 44~\times 13$

0877713fe19e4645ba3e7db233f47117

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?

bdce3fe10c474df4a19293921b1f972c

1

short_answer

Work out $$3647\div7$$ ANSWER~\uline{~~~~~~~~~~}~

56e620f09fd54f8c8dc2fe4e97e4c388

1

short_answer

Calculate: $$9 -- 8 + 7 -- 6 + 5 -- 4 + 3 -- 2 + 1=$$~\uline{~~~~~~~~~~}~

3a1e525fd69d41e8bdcd18e39e142f01

2

short_answer

There are $3$ boys, $3$ girls, and $3$ teachers standing in a line and taking photos. If the three girls want to stand together, and no two boys stand adjacent to each other, how many different ways are there for them to line up?

a9d8b165410c4c1bb74c1c179cf2b128

2

short_answer

All the sides of Triangle X are 3 cm. All the sides of Triangle Y are 9 cm. How many times can Triangle X fit into Triangle Y?

6791440725654626ab51c36b9e94af1d

0

short_answer

Find a three-digit number that has the following properties: When the number is divided by $7$ the remainder is $4$. When the number is divided by $8$ the remainder is $4$. When the number is divided by $9$ the remainder is $4$. What is the number?

d32cc1f9d4b249a0a64ad0610aee08f4

2

short_answer

Tristan spent \textbf{$5x} on \textbf{12} pens. He then spent \textbf{$3x} on \textbf{5} pencils. If he spent a total of \textbf{$120}, find the value of \textbf{x}.

78fdc8747f5a4d3aabce52d5e041f78f

2

short_answer

\textbf{A teacher wants to choose two students to represent the class in a competition. She finds that there are five students in the class who meet the eligibility criteria: Calvin, Sung, Jan, Becky, and Antoine. Because all five are eligible, she decides to select two at random. In how many different ways can this teacher select two students out of five students?} \textbf{ } \textbf{ } \textbf{ } \textbf{ } \textbf{ }

1e0501ed2b454e8abdc227085d3243e5

1

short_answer

How much larger is $8 \times 9 \times 10$ than $1 \times 2 \times 3$?

22bdbf51eef54f7ab3652064b38ab235

1

short_answer

Jenny made $$30$$ bouquets of roses. There were $$9$$ roses in each bouquet. How many roses were there?

960bdf3b8c724781b3eb3607d3f03609

2

short_answer

Dad and Mum brought John out to eat. The restaurant has $2$ different appetisers, $3$ different main course, $1$ soup of the day and $2$ desserts. John wants to pick $1$ appetiser and $1$ main course for sure, but the soup and dessert are optional. How many different combinations can he form?

65fe506e0c914a8c89a3851368d52567

1

short_answer

There were between $100$ and $200$ children at a party. At the party all the children were put into groups of $$8$$ to play a game. Three children had to sit out. For another game they were put into groups of $$9$$. One child had to sit out. How many children were at the party?

9bb456e92cbe4dd58a5b0ef6f7f77fc4

1

short_answer

In a bag there are $4$ red balls and some blue balls. I take two balls out of the bag without replacement. The probability that both balls are red is $\frac27$. How many blue balls are in the bag?

cfe05c3227c9427eadd085e9de47f044

1

short_answer

Find the sum: $$6+11+16+21+26+31+36+41$$.

2c300804986d4690a8ea13da0f77fd40

1

short_answer

1 dog weigh as much as 8 rabbits.~ 1 rabbit weigh as much as 2 chickens. How many chickens weigh as much as 1 dog?

3aa12de14bc74a3ba901fd2b6e1a45e0

2

short_answer

How many $$10$$-digit whole numbers are there, where in each number, the product of the $$10$$ digits is $$2^{27}$$?

08a17429c2dc42c9b5df787d8fb4954e

1

short_answer

Terry bought a cake. She cut the cake into equal slices. Her family ate $\frac{3}{5}$ of the cake. She gave $2$ slices to her friends and had $4$ slices left. How many slices of cake did she have at first?

6a7086b44acb47afbeb35af00a141b68

1

short_answer

Mike and Danny are typing a document. If they work together, they will finish the job in $$10$$ hours. If Mike types $$8$$ hours and then Danny types $$13$$ hours, they can also finish the job. How long will it take Danny to finish the job by himself?

7e303a81959f4dd3a8821c03daae5549

2

short_answer

Calculate: $$51+50-45+40-35+30-25+20-15=$$

346ccc5e74434ee687f8c2396be87095

1

short_answer

Ryan recently learned how to write big numbers and wrote the number $$2,435,643$$ on a piece of paper. What is the difference between the place values of two $$3$$s in $$2,435,643$$?

807f47199e524c889e2cda11d4b6aedd

1

short_answer

Cayden has $$7$$ pencils and he wants to put them into $$2$$ pencil cases. Now matter how he distribute the pencils, one of the pencil case will have a minimum number of how many pencils?

5a9cac73f017480d9c49cfcbd2b7a15a

1

short_answer

Given that $$a\oplus b=a+(a+1)+(a+ 2)+(a +3)+\cdots +(a +b)$$, find the value of $$m$$ if $$m\oplus10= 66$$.

5f8547cf000a40589c011a253c103568

1

short_answer

There is a square board with a side length of $$54$$ cm. Tom places a chess every $$3$$ cm around the board(Chess can be put in corners). How many chess can be put in total?

a6143a5df73447d390e4a2025ba6b232

2

short_answer

$$100$$ squares are placed in a row, each filled up with a digit among $$0$$, $$1$$, $$2$$, $$\cdots $$, $$9$$. Now if a digit appears $$5$$ times or more, all the squares filled up with that digit will be painted red. Find the smallest possible number of red squares.

507fbe69eeb341c4a1e466db8bc07b00

1

short_answer

The first term of a sequence is $$50$$, the second is $$46$$ and the third is $$42$$, and so on. How many terms are there until the first negative term? ANSWER~\uline{~~~~~~~~~~}~

84c34602d0aa4900966c5a8ceeee71d3

2

short_answer

Sheena had $$ $10$$. She spent $$ $2.89$$ on a folder. Her father then gave her $$\frac{4}{5}$$ of a dollar. How much money does Sheena have now?

a19b145685704a7fb1edf952d6f61f0d

2

short_answer

A $$4-$$digit number has the following properties: ($$a$$) This number is a perfect square. ($$b$$) The first two digits of the number are equal. ($$c$$) The last two digits of the number are equal. What is the $$4-$$digit number?

b00453f28a704896a9c2914acfc85c84

2

short_answer

The product of $$n$$ whole numbers $$1\times2\times3\times4 \times5\times \cdots\times (n - 1)\times n$$ has twenty eight consecutive zeros. Find the largest value of $$n$$.

03819e32406b409c97adc853ab0849b7

2

short_answer

Find the value of $$3m-1+m$$ when $$m=7$$.

622d8f504b0b4e3c833da2860ca06ea3

1

short_answer

Tim and Bob depart from two places $$780$$ km apart at the same time driving towards each other. Tim\textquotesingle s speed is $$56$$ km per hour, and Bob\textquotesingle s speed is $$74$$ km per hour. After a while, the distance between them is $$130$$ km for the first time. How many hours have Tim and Bob driven for?

97280eb5e85b48fa922958bc7829aeeb

1

short_answer

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

87f0754be1e1426ea4912fd9aa134e2f

1

short_answer

Calculate $$6 -- 4.226$$

2c9ba88b14dd492eae6b7ec023369d1e

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?

42a62ad1ebd04b199cb34ac6b189a7bb

1

short_answer

Akon goes to the bookstore every $$4$$ days. Ben goes to the bookstore every $$7$$ days. Cris goes to the bookstore every $$8$$ days. They met each other today at the bookstore. What is the least number of days it will take all three of them to meet again at the bookstore?~\uline{~~~~~~~~~~}~days

cf4b67b2b09544679e877f2476cc1898

3

short_answer

The year $$2013$$ has a four-digit number consisting of four consecutive digits (not necessarily in order). We call it a "lucky year." How many "lucky years" have we experienced from $$1000$$ AD to $$2022$$ AD?

3602d25562874d41ab24c4341b12f630

1

short_answer

Write $10$ tens, $35$ tenths and $8$ hundredths in decimal.

711c6d212b6b410f988c3dbe25973b9f

1

short_answer

In the decimal part of $$0.\dot{8}35\dot{4}$$, what is the sum of the first $84$ digits?

9aaa074a8d0943d59386b629100a1142

1

short_answer

Eddie and his friends went jogging. Eddie ran $15$ km, Jenny ran $10$ km, and Jason ran $8$ km. How far did they run on average?

5c06e51a661b48fe8fa86f66e6eee9fa

1

short_answer

Work out $56 \times 23$.

b7bc6562b2cd42848b4c261eea8d443b

2

short_answer

There is a chime clock, each time it strikes, the sound lasts $$3$$ seconds. If it strikes $$6$$ times, it takes $$43$$ seconds from the first strike to the end of the last strike. Now how long does it take from the first strike to the end of the last strike if it strikes for $$12$$ times?

e3e88b3c7611487d98b4ad69c6e41428

1

short_answer

A meal for $$6$$ people cost £$$104.10$$. If each person paid the same amount, how much did each pay? £~\uline{~~~~~~~~~~}~

3ba3be708b874b10bc32437342966dfb

3

short_answer

How many different ways are there to divide $20$ pens to $6$ kids, to make sure each of them gets at least one pen?

a6ad322655a94a94b6a34e6b8951731a

1

short_answer

Work out $$53 \times 58$$

91978558dacc4505ac4e35d145f8108b

1

short_answer

A group of students are lining up after recess in an $$m\times m$$ square array, such that $$5$$ students are left out if the square array is as large as possible. If $$18$$ more students join the group, they will create a perfect $$n\times n$$ square array with no one left out. How many students were there originally?

0786a0cfe2bd43a9ac1c176d78e73a19

2

short_answer

Six people can build a bridge in $15$ hours. How many people are needed to build the bridge in $2$ hours? (Assume that all people build at the same rate)

02858fb0c1d7495998f805b27ff5ac13

1

short_answer

James takes $$30$$ minutes to finish a $$6$$-question math quiz. How many hours does James need to take $$4$$ quizzes in total?

ec04407fbdb64de19ace6733c3919a43

1

short_answer

How many three digit numbers contain at least one zeros?

86f2b7935f1d47b099995c9ad98cd1d0

0

short_answer

What is the kinetic energy of a ball (mass = 0.10 kg) moving with a speed of 30 m/s?

bb26e8a364284f6d9f8d709ca1f345a8

1

short_answer

Find a whole number between $100$ and $200$ that has the following properties. When the number is divided by $3$, the remainder is $1$. When the number is divided by $4$, the remainder is $1$. When the number is divided by $5$, the remainder is $1$. When the number is divided by $7$, the remainder is $2$.

612916c7c6464d37b5bdb4a7f7365e62

1

short_answer

Ali has $45$ red marbles and $4$ times as many blue marbles as red marbles. How many marbles does he have in total?

4398b5072c214118a4d7e606b9c7f7dd

1

short_answer

The numbers below follow the arithmetic sequence, what is the $$7$$\textsuperscript{th} number? $$58$$、$$51$$、$$44$$、$$37$$、$$30$$、$$\cdots$$

1efc8331490f402c8a2dc98af0eb69e8

1

short_answer

Pip thinks of a three-digit number. When the number is divided by $$5$$, the remainder is $$2$$. When the number is divided by $$6$$, the remainder is $$2$$. When the number is divided by $$7$$, the remainder is $$2$$. It is less than $$300$$. What is the number?

e8ce7a71a9c94b3d8ba599db217353fb

1

short_answer

Ahmad is forming the smallest $$4$$-digit number using the clues below. ．$$$$All the digits are different. ．$$$$The digit in the ones place is the greatest odd number. ．$$$$The digits in the hundreds place and the tens place add up to $$13$$. What is the number?

163aa773f4d845c8a2f2ed208a8950fb

0

short_answer

Jerry and Kevin drive towards each other simultaneously from two places apart from $225$ miles. The speed of Kevin is $1.5$ times the speed of Jerry. How far does Jerry have driven when they meet?

57bf99419fd84ddf891e49e75324f73f

1

short_answer

The length of a ribbon is $$99 {cm}$$ long. Teacher Wiya cut it $$8$$ times to get pieces of ribbons of equal length. How long is each piece of ribbon?

2b3f02a0fa7248d58cf401ab102a597d

1

short_answer

Gill is now 27 and has moved into a new flat. She has ten pictures to hang in a horizontal row on a wall which is 4800 mm wide. The pictures are identical in size and are 210 mm wide. Gill hangs the first two pictures so that one is on the extreme left of the wall and one is on the extreme right of the wall. She wants to hang the remaining eight pictures so that all ten pictures are equally spaced. How far should Gill place the centre of the third picture from the left from a vertical line down the centre of the wall?

8164105a2885459cbe6f0149d5f46883

1

short_answer

A ball is dropped and bounces up to a height that is $$75 \%$$ of the height from which it was dropped. It then bounces again to a height that is $$75 \%$$ of the previous height and so on. How many bounces does it make before it bounces to a height that is less than $$25 \%$$ of the original height?

46cd8353df274c078e2fd68b250e0da1

1

short_answer

Find the value of $$5+8+11+14+17+20$$.

00f1d5cbd249489fa41dae6e52599fbe

2

short_answer

Find $x$． $2x+3x+2=30+6x-8x$．

b909d93696cf47d0b8ed0c83e74aa63a

1

short_answer

Doris is $$10$$ years old. She asked her uncle about his age. Her uncle replied, "When you reach my age, I will be $$40$$ years old." How old is her uncle?

ca1376e41d4341c39abc294ee9b4d9bc

1

short_answer

Ellie pays £$$1.50$$ for $$2$$ bananas and $$3$$ apples. Beth pays £$$1.45$$ for $$3$$ bananas and $$2$$ apples. How much does Annabella pay for $$1$$ banana and $$1$$ apple?

14006e4edc6c498b925dff66addea986

1

short_answer

$597 \times 63$

0483752c6a204f15aacda3ff94327d0f

1

short_answer

Dylan took the money he invested in a saving account for a year and got an interest of $$225$$ dollars. If the annual interest rate is $$2.25 \%$$, how much money did Dylan invested in the account?

622e2b8da7ee4f1fb4f317c991b75767

1

short_answer

Amanda has $4$ times as many stickers as Belinda. Lisa has $11$ less stickers than Amanda. If the $3$ girls have $43$ stickers in total, how many stickers does Lisa have?

501cf0e0bdee491db50baa99ff69b1b7

1

short_answer

Timothy is trying to solve a riddle set by his friend. \hspace{0pt} After thinking for some time, he decided that the answer must be "$7$". His reasoning is as follow: $5$ is smaller than $8$, so regrouping must have taken place. In that case， $8$ +~\uline{~~~~~~~~~~}~= $15$. The answer must be $7$. Is Timothy\textquotesingle s answer correct? If not, what do you think is the correct answer? Show your working!

798223ee8f80484e91a8451484c51727

1

short_answer

How many numbers are there between 5 and 20?

88e0c7d77835428bbe187450a89fd57e

1

short_answer

Calculate: $1348$ - $234$ - $76$ + $2234$ - $48$ - $24$ =~\uline{~~~~~~~~~~}~

ce620993d78944209d67e832a4f6c350

1

short_answer

Jerry had some money. After spending $$ $200$$ on a watch and $$\frac{2}{7}$$ of his remaining money on a shirt, he had $$\frac{1}{3}$$ of the original amount of money left. How much money did he have at first?

91c7b4be08964d77b4b67e46cd1f734b

0

short_answer

$7$ students are standing side by side in a line to take a photo. If Tom and Harry must stand together and Ronda must stand at the furthest right, how many different arrangements are there?

cac726123b6048d88b1d9136486d8aec

2

short_answer

You invest $5,000$ dollars in an investment that pays $5 \%$ interest compounded yearly for the first three years, and then $8 \%$ interest compounded yearly for the last two years. How much will you get after five years? ($1.05^{3} \approx 1.15763$ and $1.08^{2} \approx1.1664$, round the result to the nearest tenth)

2d575e9d3dcb4bb3a35bda8638540b40

1

short_answer

The price of a car is $ $125 000$ when rounded off to the nearest $ $100$. Ryna thinks that the lowest possible price of the car (to the nearest dollar) is $ $125 001$. Is she correct?~\uline{~~~~~~~~~~}~ If not, what should the lowest possible price be?~\uline{~~~~~~~~~~}~

ccc1e15016544ef18eb8d6fbfa342f6b

2

short_answer

A car travels from city P to city Q. If the speed of the car is increased by $20 \%$, it will reach its destination $1$ hour earlier. If the car travels the first $200\rm km$ at its usual speed and then increases its speed by $25 \%$, it will reach the destination $12$ minutes earlier. Find the distance between city P to city Q.

cc5debb2fb484837bd9e20117b66253d

2

short_answer

The full score of each common test is $$100$$ marks. Paul has taken $$4$$ common tests and his average score of these $$4$$ tests is $$89$$ marks. If he wants his average score to reach $$95$$ marks or above, at least how many more tests should he take?

01ebc2d721814d4db11a4f6271fd146a

1

short_answer

At Think Olympics, William completes a $$1000-$$metre race. He runs the first $$540$$ metres at a speed of $$9$$ metres per second, the middle $$300$$ metres at a speed of $$6$$ metres per second, and in the final sprint stage, William runs at a speed of $$10$$ metres per second. How long did William take to finish the entire race (in seconds)?

b33352ddaff94fdf9bca43b11dd51548

1

short_answer

Doris is $$10$$ years old. She asked her uncle about his age. Her uncle replied, "When you reach my age, I will be $$40$$ years old." How old is her uncle?

46688ef5acdc4df49717f3ab80f36c17

1

short_answer

Think School is holding a party. Each of the $18$ classes prepares a performance. Lia and Liz are good at singing, so each of them prepares an extra performance. How many performances are there in toal?

1f3d5b49f91c4771addbb17609528cde

1

short_answer

A $250$-m long train is moving at a speed of $$30$$ m/s. How long does it take the train to entirely cross a $260$-m long bridge?

56b1265849bc4172b9283606e061da30

1

short_answer

In a farm, the number of sheep were $\frac{5}{7}$ the number of cows. $21$ new sheep were brought into the farm while $7$ cows were removed. At the end, the number of cows became $\frac{3}{4}$ the number of sheep. Determine the number of sheep at the beginning.

c476669828e74aee81ba796c38aab4b8

1

short_answer

Chloe has collected 176 stamps. ~Polly has collected four times as many stamps as Chloe. ~How many more stamps does Polly collect than Chloe? (Please show the process)

a549cf3800294c169634bf21d56759b6

1

short_answer

Two similar books and three identical pencil boxes cost ＄$$42$$.Two similar books and six identical pencil boxes cost ＄$$60$$. How much does each pencil box cost?

42047954e98a4b1098845e2ff791180b

0

short_answer

\textbf{$$n$$}~is the number of minutes between $$08:30$$ and $$09:25$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~

98fa02662c3f496dbfbd82e145244c2d

1

short_answer

$$A$$\textquotesingle s efficiency is twice $$B$$\textquotesingle s and $$A$$ can complete a job in $$6$$ days. If they work together, in how many days can they complete the whole job?

dc7dede26ff941569676a4c0dc370ff2

1

short_answer

The sum of Geoff\textquotesingle s age and his sister\textquotesingle s age is $$22$$. When will the sum of their ages be $$30$$?

4f9fc9c45bc74b13945e3b6e4a79c3ef

1

short_answer

Kevin\textquotesingle s monthly salary is $7.65$ bitcoin. Kevin owns Robin $2.5$ bitcoins. How many months does Roger need to work to pay his debt?

672eac0e95a14d3f9ead29a67b3f22d2

1

short_answer

Lingyu is buying some snacks in the supermarket. A packet of Mamee cost $$30$$¢ less than a packet of Haribo. A big packet of jelly cost $$6$$ times as a packet of Mamee. If a packet of Haribo cost $$50$$¢, what is the cost of a big packet of jelly? \uline{Please give your answer in dollar.~}~

e804f82f48cb432f87a500257865625a

0

short_answer

Work out $$15.41+0.023$$. ~\uline{~~~~~~~~~~}~

a69ea7bbe98046abb05ec657125e9e2a

1

short_answer

Anna, Belle, Cathy and Dawn shared some candies. Anna received $$\frac{3}{8}$$ of the candies while Belle received $$\frac{1}{4}$$ of the candies. Anna and Belle received $$90$$ more candies than Cathy and Dawn. How many candies did the four of them have altogether?

dc703045b2df402dbdfe5981fc60d341

0

short_answer

Find the value of □: $\frac{{18}}{{36}} = \frac{□}{32} $，□=~\uline{~~~~~~~~~~}~.

365d1f5c27234c98810406b6e4bcded0

1

short_answer

Some friends are removing plants. Ethan first removes $1$ less than half of the plants, then Valerie removes $3$ less than half of the remaining bricks. Finally, Joel removes $2$ less than half of the remaining bricks. If there are still $$4$$ bricks left, how many were there at first?

b43e05329caa4f1a984bd70f841acdce

1

short_answer

$$37-3(x+7)=5x$$. $x=$．

9d5c3d4446b7434aaaa6846a334f2ea1

1

short_answer

Mr Tan made some fish balls. He sold $$\frac34$$ of the fish balls in the morning and $$\frac13$$ of the remaining fish balls in the afternoon. He made another $$506$$ fish balls and had twice the number of fish balls he made at first. How many fish balls did he make at first?

37ba30f7b64a46d380cae5ff5558dd59

3

short_answer

\textbf{Repeated Identity + Fraction as a set} Sally had some cupcakes. She had 72 more chocolate cupcakes than vanilla cupcakes. She had 36 lesser blueberry cupcakes than vanilla cupcakes. After selling $\dfrac{1}{6}$~of the chocolate cupcakes, $\dfrac{2}{3}$~of the vanilla cupcakes and $\dfrac{7}{9}$~of the blueberry cupcakes. Sally had 427 cupcakes left altogether. How many chocolate cupcakes did Sally sell?

810b29e808374893b25143dad8014c66

0

short_answer

Work out $$0.23\times200$$. ~\uline{~~~~~~~~~~}~

11ce6a9abf8e477b9581c4ee7316be07

1

short_answer

Chris has $$12$$ story books, Beck has $$8$$ story books more than Chris. In order to make them to be having the same number of story books, how many story books Beck has to give Chris?

2214d6869bd045e2afc03dba93bcda5e

1

short_answer

Calculate: $$\frac{5}{8}\times92+7\times0.625+62.5 \%$$．

1e328cd92fa04425b72e9c28f440ba39

1

short_answer

There are $14$ boys in the class. The ratio of the numbers of boys to girls is $2:7$. How many students are there in the class?

a0d429ec9b9241fbafa343fefd207ff9

1

short_answer

A marble cake costs $$$2$$ more than a strawberry cake. A cheese cake costs thrice as much as a marble cake. A strawberry cake is $$$3$$. What is the price of $$2$$ cheese cakes?

1c415c8f98ba481e86c80c0113bb20a1

1

short_answer

$$\bigcirc \times 3 + 17 = 6\times6 + 2 $$. What is the value of $$\bigcirc$$?

70ed86d3effe4cc5bd724d34f5219fb8

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 $$400$$ and $$500$$, what is its possible value?