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english_AAAI_Math

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4241ca142c384e5db8c27de3f5d5df25

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short_answer

Sally had $$$3.75$$ and Joe had some money. After each of them spent $$$2.50$$ on an ice-cream cone, they had a total of $$$5$$ left. How much money did Joe have at first?

0a0f38ce5c7546d5abe2f8fcc81598f0

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short_answer

A group of students has been planting trees for $8$ days. In the first $3$ days, they planted $135$ trees on average everyday. In the last $5$ days, they planted $151$ trees on average everyday. How many trees did they plant on average?

72e107fe7fc142fd8ecabcbd205ebd7a

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short_answer

Work out $$876\times3$$ ANSWER~\uline{~~~~~~~~~~}~

bb982f52c6d041079ae774e83f7e8a99

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short_answer

A magic number is added to $$149$$ and $$21$$, such that the result of the first number is $$5$$ times that of the second number. What is the value of the magic number?

064b4c0781ad453690eeb8941886a949

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short_answer

Eddie is ordering his lunch. On the menu are $$15$$ different salads, $$20$$ different soups, $$12$$ different vegetable dishes, and $$6$$ different sandwiches. If he can only pick $2$ of the $4$ options for lunch, how many different choices does he have?

66db5c6e664741e08931a2b39f1d7db8

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short_answer

How many $$3$$-digit even numbers are there such that the sum of the individual digit added up to be $$7$$?

06968ea362d247569a9767c8f284e0e9

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short_answer

There are two numbers, $$202$$ and $$22$$. After you add a magic number to both of the numbers, the first number will be $$6$$ times as great as the second number. What is the magic number?

caaf98f1ce924c36986670403ceffbf8

2

short_answer

Students from Think-School are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of boys, and the adjacent inner layer is full of girls, then boys, then girls and so on until the innermost layer is reached. If there are $32$ more boys than girls in total, find the total number of students.

bb7fbef0b6c04ccc86f554baf2f4420e

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short_answer

We know $n, n + 2, n + 4, n + 106$ and $n + 308$ are prime numbers. What does the number $n$ represent?

fcc29a22bd5b45e4abf794b10c54e303

1

short_answer

What number goes in the box? $6.2-\boxed{ \overset{ }{\overset{ }{ }}}=3.7$.

6fc14f87857d4b2ab8bc4618b7d72da4

1

short_answer

At the school medical centre, there are enough plasters to patch up $12$ cut knees per day for $30$ days. Work out how long the plasters would last if the medical centre were having to treat $20$ boys with cut knees a day.

4d30cc9b8bd246a78b9505752672ee09

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short_answer

There was $$448\text{g}$$ more mangoes than strawberries. After $$900\text{g}$$ of mangoes were given away, the mass of strawberries was twice as much as the mass of mangoes. What was the mass of strawberries at first?

5bb673202e8c4412b7bf28637be9a334

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short_answer

Rena bought some items at a grocery store. $$\frac{2}{3}$$ of them were apples, $$\frac{1}{9}$$ of them were bananas and the rest were lemons. She bought $$12$$ more apples than lemons. How many lemons did Rena buy?

598caa8f690845ce82ae845429eed710

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short_answer

A box of chocolates costs $$$12$$. If Max bought the chocolates, the ratio of the remaining amount of money of Max to Anthony is $$2:5$$. If Anthony bought the chocolates, then the ratio of the remaining amount of money of Max to Anthony becomes $$8:13$$. How much did Max have originally?~\uline{~~~~~~~~~~}~

5b2783f2b2b94d62984318ff167ab65d

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short_answer

At first, Liz had an equal number of red and blue stickers. She gave away $$\frac{2}{3}$$ of her red stickers and some blue stikers. In the end, she was left with $$\frac{1}{4}$$ of her stickers. What fraction of her blue stickers did Liz give away?

2df9daedfb014f1a9790c3fcebc2c6cc

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?

774b551f44f642d4ad38d30236c3d19d

1

short_answer

Given that $$4^{5}$$ means $$4\times4 \times4 \times4 \times4$$, what is the unit digit of $$444^{2022}$$?

934a4d14b18e49949c6ef24167ffb74e

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short_answer

Charles has $$16$$ marbles. He divides them into $$4$$ piles so that each pile has a different number of marbles. Find the smallest possible number of marbles in the biggest pile.

efedc63bacb049028c7f9d9de27653a3

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short_answer

Underline the smallest length. $10$ millimetres~ ~ $100$ centimetres~ ~ $10$ metres~ ~ $2$ kilometres~ ~ $2800$ centimetres~ ~ $2500$ metres~ ~ $100$ ~ millimetres~ ~ $100$ metres

3c6d061b54774cefa8ae106251ed9e95

1

short_answer

Dave just bought a new book and on the first day, he read $$30$$ pages. Starting from the second day, the number of pages he read increased by $$4$$ pages, and Dave read $$70$$ pages on the last day. How many pages does Dave\textquotesingle s new book have in total?

189eefe9efb74acf9b1ba115d8e2b1cc

1

short_answer

What is the difference between the largest $$5$$-digit number and the smallest $$6$$-digit number?

22169485afe346008751bdb1b79de0ac

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short_answer

How many three-digit odd numbers can be made using the digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, and $$6$$ if digits cannot be repeated?

875c9cac1ffb4452aabd90fa4729b651

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short_answer

A survey of all students in the class reveals that $$20$$ students can swim, and $$25$$ students can play basketball. In addition, $$10$$ students can do both, and $$9$$ students can do neither. Find the total number of students in this class.

e8d4c70e0af44824834deba59032af0c

0

short_answer

$$3+7+11+15+19=$$~\uline{~~~~~~~~~~}~

61cfc0ac0f1449fa967d6076176b1137

0

short_answer

Work out $324 \times 24$

2a20ffa4a69c4484999bb958ab96dc80

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short_answer

When I looked at my fitness tracker this moring, it showed I had taken $$1991$$ steps today. This is a palindromic number (which means it is the same read forwards as read backwards). How many~\textbf{more~}steps do I need to take before my fitness tracker shows another palindromic number? ~\uline{~~~~~~~~~~}~

18b56edf99804cd18f944ac9024bf259

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short_answer

Number $$A$$ is $$\frac{2}{3}$$ of number $$B$$, and number $$B$$ is $$\frac{4}{5}$$ of number $$C$$. Given that number $$A$$ is $$21$$ less than number $$C$$, find the number $$A$$.

e2f136c1d0e3438fb5a5222737d65150

1

short_answer

Work out $34.2+2.96+0.0364$

a51a939a7af045ed9ba206d87ac10cdc

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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? （⭐⭐⭐⭐）

afe76018408f45b5a643b041061c21be

1

short_answer

How many digit $$4$$ are used in the first $$200$$ pages of a book?

c9fc66837ed74b1eb8a4707c4398b6d7

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short_answer

Mr Wong has some bookmarks. If he gives each of his pupils $$4$$ bookmarks, he will have $$8$$ bookmarks left. If he gives each of his pupils $$6$$ bookmarks instead, he will be short of $$10$$ bookmarks. How many bookmarks did Mr Wong have?

b36c82106098479eb7454b8150d50947

1

short_answer

$$608 \times ~56 =$$

bf559d9d7adc46e5928853ca81300c0d

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short_answer

A farmer has $$25$$ cows and ducks in his farm. He counts a total of $$68$$ legs. He has~\uline{~~~~~~~~~~}~ducks.

fc746990a19a47ab9601f133eccf8da2

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short_answer

A group of children consists of $$11$$ girls and $$5$$ boys.The average height of the group of children is $$122.5\text{cm}$$. The average height of the girls is $$3.2\text{cm}$$ more than the average height of the boys. Find the average height of the girls.

fe1dad1b4cf74ae287ebf8d0b28bb3b4

1

short_answer

There are five triangles on a plane. At most, how many different parts can you divide the plane into?

28e62637c4fc4eadb594a6d0da417836

1

short_answer

$602 \div 7$

ea4169e9382046cda7491251be10687b

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short_answer

$70$ students from Thomson Primary School took part in a mathematics competition. Their average score was $66$ marks. The average score for girls was $70$ marks and the average score for boys was $63$ marks. How many girls are there in school?

cafcc058aa184b18aab818d577427a22

1

short_answer

Given $9$ consecutive odd numbers with a sum of $1503$, find the smallest value among them.

ed7781ecfa264cb686cd6671df26577b

1

short_answer

Any sequence which~\textbf{increases}~by the~\textbf{same amount~}each time is called~\textbf{linear.~}The $32\text{nd}$ term of a linear sequence is $157$ and the $108\text{th}$ term is $537$. What is the first term?

398f40d1810d4daf96c3048cfc41ed7c

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short_answer

Donna had some candies. She kept half of the number of candies plus $$3$$ candies. She gave the remaining candies to Jane. Jane ate $$\frac{1}{3}$$ of the candies plus $$4$$ candies. Then Jane gave the remaining candies to Kate. Kate ate $$\frac{1}{4}$$ of the candies and had $$42$$ candies left. How many candies did Donna have at frst?

1e6694bd51114d55895dbe80e548b123

3

short_answer

$$4$$ individuals pass the ball to each other and they pass it to others immediately when they catch the ball, starting from $$A$$ as the first pass, the number of different methods that after $$3$$ passes the ball returns to $$A$$ is~\uline{~~~~~~~~~~}~.

c6c7e58ef9c24768a4622a112505b93d

0

short_answer

A bag of crisps cost $$5$$p. How much would it cost if I bought a bag of crisps every day for $$5$$ days?

046de3a2a2bc40f1bb251c3bf9fae045

0

short_answer

\textbf{$$n$$~}is the number where $$4\times n+3=55$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~

88aebab1fdb9459da60e672b70e23921

1

short_answer

Jason has $$30$$ storybooks. If he gives $$4$$ storybooks to Anthea, both of them will have the same number of storybooks. What is the difference of nunber of storybooks between Jason and Anthea at first?

cc823defea034e0fbb575cefdc9584df

0

short_answer

Work out $$342+469$$. ~\uline{~~~~~~~~~~}~

61be272e45f5417780499f0cb4d747d2

1

short_answer

$$(36\times 21)\div (6\times 7)$$ =

d0be78861f1d41c8bd8c7de01241ca3a

0

short_answer

In the following, all the different letters stand for different digits. What is the value of the $$2$$-digit number $$QP$$?

8c7bad2823b64ce9bd000eca653f9f98

3

short_answer

At a party, every $$4$$th guest gets a face mask and every $$10$$th guest gets a mug. What is the position of the first guest that will get both a face mask and a mug?

7e40ac2cb8734521aa2bcc3baf6d6cd1

1

short_answer

$$27+28+29+30+31+32+33=$$~\uline{~~~~~~~~~~}~

42175aff49384f8fb2e1b8e87cd5d6dc

0

short_answer

$$0.98+1.98+2.98+3.98$$

dfc638bbb6ae4aabb28cb4b9417fc631

1

short_answer

William jogs at $$2$$ metres per second. How far does he jog in $$12$$ minutes?

090de4dbbc22403c821128cff3d594be

1

short_answer

Calculate: $$2020\times 68+505\times 128$$.

abbaed0cf4b24b7a96c8d6bc432d9ddb

1

short_answer

Xavier has $100$ grams of a solution with a sugar concentration of $25 \%$, Yelena has $500$ grams of a solution with a sugar concentration of $55 \%$ and Carol has $400$ grams of a solution with a sugar concentration of $35 \%$. If they mixed the solutions together, what is the concentration of the resulting sugar solution?

e6223ed171b341058c807c2c490548d2

1

short_answer

$$A$$\textquotesingle s efficiency is twice $$B$$\textquotesingle s and $A$ is able to finish a job in $$12$$ days less than $$B$$. If they work together, in how many days can they complete the whole job?

aef98a3088f64f3c987d8e8cad49eb89

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short_answer

Mr Bloggs buys a newspaper and a box of tissues. The newspaper costs £$2.20$ and he gets £$4.83$ change from a £$10$ note. How much has he paid for the box of tissues?

ab364c81a2864910ac73de45139fb81c

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short_answer

There was an equal number of boys and girls at an exhibition. After~$\tfrac{3}{5}$~of the boys and $$42$$ girls left the exhibition, there were $$12$$ more boys than girls at the exhibition. How many students were there at the exhibition at first?

c44b7e0f636c4a559b50166c1518c540

0

short_answer

Mike travels from his home to office at $3$ km/h and reaches his office $12$ min late. If his speed was $5$ km/h he would have reached $4$ min early. Find the distance from his home to office.

c34811dd64254c04b657b905af68cf0f

2

short_answer

Compute $$11 111 111 \times 99 999 999$$.

c7ddd97daf6145ed96ee9ebd4abbe31a

1

short_answer

How many different natural numbers can be formed with the digits $$1$$, $$2$$, and $$3$$ without repeating digits?

9a23b61c00aa4f4f9ce7d319f75b093d

1

short_answer

Students in Happy Primary School went to a farm and help out in harvesting the crops. They harvested a total of $$27$$ baskets of tomatoes. The number of baskets of cucumbers they harvested is $$3$$ more than $$3$$ times of the tomatoes. How many baskets of cucumbers they harvested?

5f9a3caf3a844c859338c8ee6c84403c

1

short_answer

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

c60c26e3a9984f1fb74edb0acff647db

3

short_answer

A group of children visited the Botanic Gardens one morning. The ratio of the number of boys to the number of girls was $$3 : 2$$. Later in the afternoon, $$12$$ boys and $$12$$ girls joined the group. The new ratio became $$19 : 14$$. Find the total number of children in the Botanic Gardens that afternoon.~\uline{~~~~~~~~~~}~

a914eab1c1f143d09f08b68c60165f8a

1

short_answer

The total cost of Helen\textquotesingle s pencil case including stationery is £6.25. How much would 12 of these pencil cases cost?

de26875a56ac47ad9dcf5dcc75dde7cf

1

short_answer

Last night the temperature was $$-8^{}\circ\text{C}$$ but today it is $$13^{}\circ\text{C}$$. By how much has the temperature gone up? Answer:~\uline{~~~~~~~~~~}~$$^{}\circ\text{C}$$

5bd1eec767354db6b84f9b6d57d59263

1

short_answer

Put four different colored socks in a row at home. How many different ways are there to arrange them? Put two different colored pairs of socks in a row. How many ways are there now? Think about why you get two different numbers.

b3d11c4825554079b29f7c4d34b2ed81

1

short_answer

Tim has $3$ cards, $$A, B, C$$, each with a number written on it. The value of the number on card $$A$$ is twice that of card $$B$$. The value of the number on card $$B$$ is twice that of card $$C$$. If the value of card $A$ is $40$, what is the total value of all $3$ numbers?

5baea30fbec6495a8b6283b09656e48a

1

short_answer

There are $$112$$ pupils in Room $$P$$ and $$1098$$ pupils in Room $$Q$$. $$A$$ teacher transferred some puplils from Room $$Q$$ to Room $$P$$ so that both rooms have the same number of pupils. How many pupils were there in each room after the transfer?

504138d5ab434544b07d09526512e8d0

2

short_answer

A simple pendulum has a period of 1 s on Earth. What would its period be on the Moon (where g is one-sixth of its value here)?

b24c8d3c218c4aacac0618f7c854fd25

2

short_answer

A square wall is tiled with $400$ small square tiles of two colours, red and green. The outermost layer of the wall is tiled with red tiles, the second layer from the outside is tiled with green tiles, the third layer is tiled with red tiles again, and the fourth layer is tiled with green tiles again, and so on. Which colour of tile is more on this wall? How many more tiles are there of the dominant colour?

b13f6c28aaeb458aaa713c2e08380709

1

short_answer

Two iron bars, $$23$$-$$\text{cm}$$ and $$37$$-$$\text{cm}$$-long, have been welded into one single piece. If the welded part has a length of $$3\text{cm}$$, how long is the full piece?

8fbd1f3154514d90b348d98dc9937be2

1

short_answer

There are $10$ questions in a science competition. A person gets $6$ points for a correct answer and loses $2$ points otherwise (getting a wrong answer or skipping a question). Justin and William each answers $10$ questions and together get $96$ points. If Justin gets $24$ more points than William, how many questions does William answer correctly?

10f23d6da9944476ae1f44b6fd44944d

1

short_answer

Jenny went on a business trip from 1\textsuperscript{st} March to 15\textsuperscript{th}~April. How many days did she go on the business trip?

c3766f132f16414bb326ea29c9942ad7

1

short_answer

If $x^{2}=7$, what is the value of $x^{4}$ ?

0f1117672a63416cbd3434112e8ffbdd

1

short_answer

Do you know the value of A?

1d5693592dcd4d74af7216902ea3469a

2

short_answer

$$A$$ can do a job in $$15$$ days while $$B$$ can do it in $$10$$ days. They work on it together for $$3$$ days and then $$A$$ has to take off to deal with a family emergency. In how many days can $$B$$ finish the remaining job?

fe9c604c26c54da584f4631fb51fabca

1

short_answer

$$265 \times 30 =$$

8d3535d489694c9ab72858ec3e09c1ee

1

short_answer

There are $100$ people standing in a square array. Find the total number of people in the outermost layer of this array.

6aff689afc7c437db64fc2e27c02833a

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

10195dd0d1d04543a0ade2917338e294

1

short_answer

There are $2$ piles of cards: Pile A with $88$ cards and Pile B with $52$ cards. Tom and Jane take turns picking cards from the piles. In each round, they can pick any number of cards from only one pile. They cannot end their round without taking a card. Whoever takes the last card wins the game. If Tom wants to win, what should his winning strategy be?

6564fd0ca13b4e9b8f99f3ea28add3e9

1

short_answer

Hugo\textquotesingle s wallet contained some cash. He gave $$\frac{3}{7}$$ of his cash to his sister, and gave $$\frac{1}{8}$$ of his remaining cash to his mum. In the end, he had $ $280$ left in his wallet. How much money did he have at first?

e77e2351b78345d6962d155aaf8c5efa

1

short_answer

katie the baker can make $6$ loafs of bread with every $5$ cups of flour. How many cups of flour does Katie need to make $24$ loafs of bread?

ad2a343c34cb44ac88504dd245fdcc8b

1

short_answer

A teacher is distributing $$80$$ apples to the students in her class. At least one student gets at least $$3$$ apples. How big is the class?

5dbed78cb0054ac8b310230d17f9c26e

1

short_answer

What is the difference between the hottest and coldest of these temperatures? $-10º\text{C} 16º\text{C} 9º\text{C} 2º\text{C}$

1848fbe1d98944c9b1f806488a4b51a7

2

short_answer

There is a total of $34$ balls. The ratio of the number of red balls to white balls is $1:2$. The ratio of the number of white balls to black balls is $3:4$. How many red balls are there?

a54b55467ea147c6b9f5372a54243a74

1

short_answer

The cost of $6$ cheesecakes and $7$ logcakes is $ $1426$. $4$ cheesecakes costs thrice as much as a logcake. Determine the cost of $10$ cheesecakes and $10$ logcakes.

9563da65f57444518660d7e7ae11fc79

0

short_answer

£$$51.20$$ is shared between $$8$$ people. How much does each receive? £~\uline{~~~~~~~~~~}~

c913d4e63fce41d2aaca6a3e2a3cf6f4

1

short_answer

Given that $5!$ means $5\times4\times3\times2\times1$, find the last digit of $2014!$.

7b4cba3fe33741189ed2ca4a5ed157f2

1

short_answer

Write $$\frac{4}{50}$$ as a percentage. ~\uline{~~~~~~~~~~}~$$ \%$$

82fc1a902d704c95a9aa6a164228805e

1

short_answer

A prism with a square base of side length $5\text{cm}$ has a $1\text{cm}\times1\text{cm}$ square hole cut through vertically. If the volume of the prism is $480\text{cm}^{3}$, what is the height of the prism?

80d14d6dace648ab9a745e93b255b8c9

1

short_answer

$$1\times 1+2\times 3+3\times 5+ \cdots \cdots +10\times 19=$$~\uline{~~~~~~~~~~}~.

4d8068dd3c0d45ac9d058b56e9ab8e71

1

short_answer

At Think store, a pencil costs $5$ dollars and a pen cost $15$ dollars. Owen bought some pencils and Oscar bought some pens. If Owen wants to trade a pen from Oscar, how many pencils should Owen give Oscar?

d3e59c50fe3a4e3c8c9fc840de30fe66

1

short_answer

Find the value of $$1-2+3-4+5-6+\ldots+999-1000+1001$$.

9572661330c44c6fa75e2c4321ce76ad

2

short_answer

\textbf{External Changed} Peter had a number of yellow and green beads in the ratio of 3:2. After he bought another 5 yellow beads and 20 green beads, the ratio of the number of green to the number of yellow beads becomes 3:2. Find the total number of beads he had at first

f9c8b3de0b744d5bb1ceeff64db1f6f8

1

short_answer

$$12+102+1002+10002=$$

d4f12453aa6f49b4880fbca48045adeb

1

short_answer

How many possible ways are there if we want to get $$13$$ by adding $$3$$ numbers (excluding $$0$$)?

b4cb09af0f6e4f17bdbc0e57212c2ab5

0

short_answer

Henry had some marbles. He gave $$26$$ marbles to his brother and $$13$$ marbles to his $2$ sisters. He is left with $$16$$ marbles. How many marbles did Henry have at first?

d66ce8f472054e71aa236e8e613a5157

1

short_answer

A palindromic number is a number that can be read the same forwards and backwards, $e$.$g$. $33$ and $797$. How many of such numbers are there between $10$ and $1000$?

84fb655f45e54baa81690c12194c4cfb

1

short_answer

Given $${{a}^{2}}-{{b}^{2}}=\left( a+b \right)\times \left( a-b \right)$$. Calculate: $$2{{0}^{2}}-{{19}^{2}}+{{18}^{2}}-{{17}^{2}}+{{16}^{2}}-{{15}^{2}}+\ldots \ldots +{{2}^{2}}-{{1}^{2}}=$$~\uline{~~~~~~~~~~}~． Johnny spent the whole afternoon working out the sum. $20$\textsuperscript{$2$}~- $19$\textsuperscript{$2$}~= $39$ $18$\textsuperscript{$2$}~- $17$\textsuperscript{$2$}~= $35$ $16$\textsuperscript{$2$}~- $15$\textsuperscript{$2$}~= $31$ $$\cdots $$ After a while, he gave up. Is there a much faster way to work this out? Please help Johnny!

a2686828e0aa405aab8754b3f12eaf64

1

short_answer

Amy and Christen started driving from two places at the same time, going towards each other. Amy\textquotesingle s speed is $$60$$ miles per hour and Christen\textquotesingle s speed is $$40$$ miles per hour. They meet after $$4$$ hours. How long does it take for Christen to reach Amy\textquotesingle s starting point?

71c8465f7f6740fb84c60f24c0fa5b05

1

short_answer

$$617+385$$