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english_AAAI_Math

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5d87e59fcef54f0d8cbf90a06ad4361a

1

short_answer

36 has~\uline{~~~~~~~~~~}~factors.

cba96ea4079d4147a8e7a1bba76598b4

2

short_answer

Farmer John fed his eight pigs with apples. He gave each pig one green apple. He also gave one red apple to every two pigs to share. How many apples did Farmer John give his pigs altogether?

e495bb663c3f4e3fb7b4594b7b6e3ce0

1

short_answer

Pip planted 20 seeds. A quarter of them died. How many sunflowers did Pip manage to grow?

0a6b3f52433742509667f3e14550f591

2

short_answer

I am thinking of a number. When my number is divided by $5$. it gives remainder $3$. When my number is divided by $7$, it gives remainder $4$. When my number is divided by $9$, it gives remainder $5$. What is the smallest possible value of my number?

892e6ad962394876990f5b04addfae37

1

short_answer

The total price of $$3$$ identical shirts and $$2$$ identical pairs of pants is $$ $81$$. The total price of $$5$$ such shirts and $$4$$ such pairs of pants is $$ $147$$. What is the total price of $$1$$ shirt and $$1$$ pair of pants?

99ec89df21bc47e580283576006ce753

1

short_answer

Andy has~£100 pocket money. He deposits £10 on the first day, spends £8 on the second day, deposits £10 on the third day, spends £8 on the fourth day, and so on. How much money does he have in 15 days?

0cdfa66a263441afa78bab0d33bc8b54

1

short_answer

Alison has a large number of coloured pencils. When the pencils are divided between two of her friends there is one pencil left over. If they are divided between three friends there are two left over. Between four friends there would be three left over. Between five friends there would be four left over. What is the smallest number of coloured pencils that Alison could have?

0e91657d43d34effa4d1a8ca9067f554

1

short_answer

A fruit seller had $90$ durians. He sold $\frac{4}{6}$ of the durians. How many durains were left?

5a342d4cec7f4c4886694b8cade4fa53

1

short_answer

Michael thinks of a number, multiplies it by $2$, adds $178$, then divides by $4$. His answer is $54$. What number did he think of?

e1e9d7528bbf401cbf3607c4c9d25245

1

short_answer

Five students pick $42$, $41$, $30$, $29$, and $38$ apples, respectively. How many apples does each of them pick on average?

4bbb81d1111b4e3cbec6b7862f30f6d7

3

short_answer

\textbf{Percentage Double Base} Marry and Alexis had some stickers in the ratio 7 : 5. Marry and Alexis each gave 20\% of their stickers to Charlotte. As a result, Charlotte\textquotesingle s stickers increased by 80\%. If Mary had 20 stickers more than Charlotte in the end, how many stickers did Alexis have at first?

1d5142c64ec641dc8bbd86895e5a3579

1

short_answer

Nini drives to the countryside for a picnic from her home at $2$ p.m.. If she keeps her original speed, she will arrive at the destination in $8$ hours. If she wants to arrive one hour earlier, she must travel $5$ extra kilometers per hour. Find the distance between Nini\textquotesingle s home and the countryside.

adce1fe036694ef68f2fd4cdac3f0be4

1

short_answer

Claire, Chantel, Tony, and Cale are playing Chinese Mahjong around a table. If Claire and Tony do not sit across each other, in how many ways can they arrange the seats?

599d7ab82508440d8bc57c2a45cc2bb6

1

short_answer

A shop sells bananas and pears. Max buys $1$ banana and $2$ pears. He paid $94$p. Emily buys $1$ banana and $1$ pear. She paid $62$p. How much does $1$ banana cost?

1cfd9ab02afc40268d415154a39502bb

1

short_answer

Work out $$32 \times 47$$

7455d596a9584c91a9f5f01d9ac7dda1

1

short_answer

There are $6$ three-digit numbers which use each of the digits $$3$$, $$5$$ and $$9$$ once only. When all of these $$6$$ four-digit numbers are put in order from smallest to largest, which one is in fifth position?

f238021737bb4ddf866f1e344662e725

2

short_answer

Tom bought $$1000$$ bottles of solution for his science laboratory. Among them, one bottle had poison in it. If mixed with chemical $$X$$, this poisonous solution changes colour, while the colour of the solutions in other bottles would be unchanged. For each bottle, every mixture with $$X$$ requires one test tube, and it takes $$6$$ hours for any colour change to be observed. What is the least number of test tubes required for Tom to be able to identify the bottle with poison in it after $$6$$ hours?~\uline{~~~~~~~~~~}~

19d73820d6d94870a69075b50604e9ea

1

short_answer

Sarah placed 10 chairs in a row, evenly spaced out. The total distance covered by the chairs is 36m. If Sarah removes 3 chairs and space out the chairs evenly again, what is the distance between every 2 chairs?

6070f6baef3345f49dc764aaf67f2145

0

short_answer

\textbf{$$n$$}~is the value of~$7^{2}-6^{2}$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~}

ec5a902e3059436a93f54bdff89b1b64

1

short_answer

Three brothers have a total of $$10$$ identical books. If each of them has at least two book, how many possible ways to divide the books among the brothers?

002d73bb7e164b1cbeeebeeb6b1b8c36

1

short_answer

Two of the angles in a quadrilateral are right angles. One of the others is five times larger than the fourth angle. What is the size of the largest angle?

a7c840e7a73042529289e2f30f4cce0a

1

short_answer

Calculate: \uline{$46\div\left( 3\times4\right)\times\left( 7\div8\right)\div\left( 2\div3\right)\times\left( 4\times8\right)\div\left( 9-2\right)=$}~\uline{~~~~~~~~~~}~．

18e7c7d882fd4965a7d2ddada6edb9ba

0

short_answer

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

08b558c3faa347dab4cf75659be5e9ba

2

short_answer

Jimmy wants to climb up $$10$$ steps, everytime he can either go up one, two or three steps. However, he have to avoid the fifth step as it is muddy. How many different ways can he climb up these steps?

87be82c9d7de44ca9010e74b7b93822e

1

short_answer

$768$~ $\div$~ $3$=

d552a67eab8b49baa8a9ba818269f589

1

short_answer

A fruit shop sells apples in boxes of three sizes: small boxes of $$5$$ apples, medium boxes of $$7$$ apples, and large boxes of $$10$$ apples. Ryan wants to buy exactly $$54$$ apples for his students. If Ryan does not want to waste any apples, what is the smallest number of boxes he can buy?

a0bb16508a094a2b923d767cc547f24e

1

short_answer

Two $$2$$-digit multiples of $$7$$ have a product of $$7007$$. What is their sum?

adee1a24c7024765a006ff883559d59a

2

short_answer

There is a number sentence: $1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5\cdots $ According to the pattern, what is the median of all numbers in the sequence before $10$ appears for the first time?

7f2800865ae74b51aea6bb7d879f748d

1

short_answer

$\dfrac{ +6}{3}=5$

65d0a4bf0dd4421d8f7a7ae61320a871

1

short_answer

A kitten can eat $$42$$ cans of tuna in 6 days. At this speed, how many cans of tuna can it eat in 9 days?

8c9a2bd605ed4c729cd446a9f7aa73b2

0

short_answer

Work out $$\frac{6}{7}$$ of $$42$$. ~\uline{~~~~~~~~~~}~

026d98e841e64cdd89aad40de45ad4b6

1

short_answer

There are many visitors lining up before the amusement park opens. The number of visitors that join the line each minute is constant, which is 10 visitors per minute. Each entrance can help 25 visitors check in per minute. If there is one entrance, there will be no one waiting in the line after 16 min. If there are 2 entrances, how long after will there be no one waiting in the line?

43e9733a82014d8eabf755557196a178

1

short_answer

Laura\textquotesingle s rabbit eats $$14$$ carrots each week. How many carrots would Laura need to buy to feed her rabbit for $$30$$ weeks?

5dd5b133aea24401a5002b33b8907b40

1

short_answer

County highway has a speed limit for motor vehicles at $65$ miles per hour. If a car drives at the limited speed for $$15$$ minutes, how many kilometers can it travel?

b295ec92694641e88fe8ece9db989418

1

short_answer

In magic school, Wizard James, who feeds many animals, can turn his frogs into dragonflies and dragonflies into frogs. At first, he counts that the amount of frogs is $$9$$ more than that of dragonflies. After he finishes the magic show, there are $$11$$ frogs and $$10$$ dragonflies in total. How many frogs did he have at the beginning?

81d722c81c1f48a79aedfcad65400bc2

1

short_answer

A snail wants to climb out of a $$16-$$metre burrow. It climbs up $$5$$ metres during the day and slides down $$3$$ metre at night. Exactly on which day can the snail climb out?

da128269ec8a4b78bcc13ee12e8d271e

1

short_answer

（$$2017$$ Tao Nan School, Mid-Year Examination Paper $$2$$, Primary Three, Question \#$$4$$） Mother baked $$40$$ cookies. She gave $$8$$ cookies to her friend and packed the rest equally into bottles. She put $$4$$ cookies in each bottle. How many bottles did she use?

f330e5185f564b4f8439985f154a4ab2

1

short_answer

Layla baked some cookies and muffins. The number of cookies she baked was $$24$$ more than the number of muffins. After selling $\frac{3}{4}$ of her muffins and $$\frac{5}{8}$$ of her cookies, she had $$74$$ cookies and muffins left in total. How many cookies did she bake at first?~\uline{~~~~~~~~~~}~

6bf09e258c0344d980831d0a2582021b

0

short_answer

What is the greatest multiple of $$25$$ that has exactly $$3$$ digits?

15e2a7686f9044aeaf931e87b0693cae

0

short_answer

Richard is sent $40$ dollars for his birthday and plans to go to watch the ice hockey match between SKA and Spartak and take some of his friends with him. If he pays for the met both ways, a cup of coffee each and the entry fee to the game how many friends can he treat with his $40$ dollars? (Don\textquotesingle t forget Richard\textquotesingle s tickets).

0d784e5849d84e58ad27c2767fae5a52

1

short_answer

A twelve-digit even number $$\overline{123A456A789A}$$ is divisible by $$9$$ but not divisible by $$5$$. Find the value of $$A$$.

e1f9970642f64e64b790ec29f85e494f

1

short_answer

A driver and a cyclist start travelling the same distance at the same time. The speed ratio of the diver to the cyclist is $13:2$. The cyclist takes $143$ minutes more than the driver to reach the destination. How long does it take the driver to reach the destination?

16f45879a4ca4545b12ade2f472ea304

2

short_answer

Calculate: $$2^{3}+3^{3}+4^{3}+\cdots+12^{3}$$.

f0b47802cada49d286687ff9e3a7086d

1

short_answer

Calculate: $$48-47+46-45+44-43+42-41+40$$．

82befdbc19124ec4a29b8a7200da5f5f

1

short_answer

(UK Kent College Pembury $11+$ Math Ematics Sample Question $$21$$) At a party we ordered $4$ sausage rolls at $24$ pence each, $5$ hotdogs at $81$p each and $7$ drinks at $20$ pence each. What is the total cost ?

0ae254e064134f188c9be40779165325

2

short_answer

Given that only one of the following statement is corect, which one is correct? ($$1$$) All of the statements below are correct. ($$2$$) None of the statement below is corect. ($$3$$) One of the statements above is corect. ($$4$$) All the statements above are correct. ($$5$$) None of the statement above is corect.

2fd2c2cf5b0e4e77ade10ea6e459326d

1

short_answer

There is a number of coins on a table. One quarter of them are showing heads. If I turn over two more coins to show heads then one third of the coins now show heads. How many coins are on the table?

b92bb1c34016428e8b1539c16095a291

2

short_answer

In an evening paty, There are 5 singing shows and 3 comedy shows. It is required that the comedy shows cannot be performed consecutively, so how many different ways are there to arrange these shows?

509e74e27ec949a4bd04c96689bc27b8

1

short_answer

Mike is planning to go to Toronto for his summer vacation. He can either take the train, take a car, or take a plane. Each day there $$4$$ trains, $$3$$ cars, and $$2$$ flights available. How many different ways can Mike choose?

ab295a6189f54b16ad73515c7acb0dc0

1

short_answer

Find the greatest common factor of $16$ and $36$.

85093fa878264795a7751d28ce2631a2

1

short_answer

A construction company can pave a $$500-$$meter road in $$5$$ days. How many meters of road can it pave in $$1$$ day?

a93e649ea04246e29d39e3abf1c9cbf4

1

short_answer

Given that $$S=0.\dot{2}+0.\dot{0}\dot{3}+0.\dot{0}0\dot{4}+0.\dot{0}00\dot{5}+0.\dot{0}000\dot{6}$$, what is the sum of the first $2100$ digits of $S$ after the decimal point?

ad97ccd1f3f147778a05bec0c8d4686c

1

short_answer

When listed in order of size, which is the middle value? $\dfrac{2}{5} \dfrac{1}{4} 0.45 0.35 \dfrac{7}{20}$

ad40132c81d646cca930b7085fe9b999

1

short_answer

I think of a number. I multiply it by $$5$$, add seven, and divide by four. I now have $$8$$. What was the number I first thought of?

805c2d490543494daae962252fa53bed

1

short_answer

I thought of a number, halved it and then subtracted $9$. I got an answer of $12$. What was my original number ?

03a77a22a7ee441d83180f51247c76d2

1

short_answer

Work out $2018-314$

d6f4e33c53824be9b1e66bbf1d27bf6a

1

short_answer

I have more than $$40$$ but less than $$60$$ chocolates. If I distribute my chocolates into groups of $$4$$, I would have $$2$$ chocolates left. If I distribute my chocolates into groups of $$6$$, I would also have $$2$$ chocolates left. How many chocolates do I have?~\uline{~~~~~~~~~~}~

f93efda9bc144ea8ad3f28fa5d961c5e

3

short_answer

There are $6$ people sitting around an eight-seater circular table. How many different orders are there for them to sit? (If we can get the same order after rotating the table, then we regard the two orders as the same one.)

4a1f30f8a5d9460a9ca929a63a2af4ef

0

short_answer

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

ac69d28e01274b9cb6dba2d848512b1e

1

short_answer

Find the value of x：$$55-6 (7-x)=37$$

8356de756f6c4a9296f2986d44679ee5

2

short_answer

If Peter walks up an up-going escalator at the rate of $$1$$ step per second, he is able to reach the top in $$10$$ steps. If he increases his rate to $$2$$ steps per second, he can reach the top in $$16$$ steps. Find the number of steps of the escalator.

41faa1f0b1cc4a408ca39ea9588f7c41

1

short_answer

How many quarters are there in $3.5$?

ef3c1e2ecc29478cae0e4c67e21cfd31

1

short_answer

Theo bought a chocolate bar for $$72$$ p and some balloons, each of which cost $$20$$ p. He paid with a ￡$$10$$ note and received ￡$$3.88$$ change. How many balloons did he buy?

0372e783670b4989a40bb288d0a50b49

1

short_answer

What is the smallest number that $$3$$, $$4$$, and $$10$$ all go into? ANSWER~\uline{~~~~~~~~~~}~

c3bed35ee49449b1b1c173972bfbdc16

1

short_answer

What is $45 \%$ of $2000\rm m$?~\uline{~~~~~~~~~~}~$\text{m}$

1fb58eeac24a49a9a387cd050b737f10

1

short_answer

$$17$$ students are kayaking, and each kayak can sit up to four students. How many kayaks do the students need at least if all of them want to be sited?

efa72e12128b4d01a799c7adc89fd0e4

1

short_answer

Mark had $$ $243$$. He spent $$\frac{2}{9}$$ of his money on $$5$$ cupcakes and $$6$$ slices of pizza. The cost of $$3$$ slices of pizza was equal to the cost of $$2$$ cupcakes. What is the greatest number of cupcakes that he could buy with the money that he had left?

47daaf2e351c41baa45e0b8bebe5a912

1

short_answer

If $a=4\sqrt{3}$ and $3a=\sqrt{3x}$, what is the value of $x$?

9836746f750849eab60f6f4814df73ae

1

short_answer

Subtract $4 + {\rm{(}}2 \times 13{\rm{)}}$ from $(4 + 2) \times 13$.

83872d0eef7a43dfb1188835aa5cf9cf

2

short_answer

The Seven Dwarfs were born on the same day, in seven consecutive years. The ages of the youngest three add up to $42$ years. What do the ages of the oldest three add up to?

95c22bdbc98241c5a13eb5bfac9fdeef

1

short_answer

From $$74$$ to $$199$$ inclusive, how many whole numbers with distinct digits are there? (For example, $$129$$ is a whole number with distinct digits, but $$166$$ is not.)

ed3efc4e403348c68b8110b921b8dbda

1

short_answer

Work out $$861\div7$$

ea690ce1e8584d07923ee3bc953befdb

1

short_answer

Cindy saved $$$15$$ in the first month, $$$24$$ in the second month, $$$33$$ in the third month, and so on. The amount of money she saved in the last month was $$$213$$. How many months did Cindy save her money for?

206f12ce0af144238e17dafffb955002

1

short_answer

$$531\times 135$$.

997a64284e3544e7a7e0c6fe94460913

1

short_answer

How many different three-digit numbers can be formed using the numbers $$2$$，$$3$$，$$5$$?（without using the same number two times like $$22$$）

2e6b4015f6284de4a0c0669daaa24807

1

short_answer

How many perfect square numbers are there in $$2, 25, 255, 2555, 25555\cdots $$?

af0382a8cc5e48a18bb7e42fd763f480

1

short_answer

There were 10 pieces of paper. Some of them were cut into three parts. Altogether, there are now 16 pieces of paper. How many pieces were cut into three parts?

d9b42c64ab424ba98dbea5766a9ecc3c

1

short_answer

$$6$$ workers can produce $$120$$ parts for a machine in $$4$$ minutes. At this speed, if $$3$$ workers can produce the parts for a machine in $$10$$ minutes, how many parts are there in this machine?

e495cca42c1345a4b15b14b27a2a00c5

1

short_answer

Find the percent of change from $98$ to $44.1$.

fa375130b4804eb2ac24de6cdb33ba36

1

short_answer

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

0b88d57e68004f1f83f1f05147aba9ae

1

short_answer

In a school with $$380$$ pupils the following facts are true: $$70 \%$$ of pupils can swim $$ 40 \%$$ of the boys cannot swim $$200$$ girls can swim How many girls are there in the school?

9b500db0f33f4fa7a395fa0b079d3de4

2

short_answer

Toby has 8 apple trees in his garden. Each tree produces 10 apples per year. $\dfrac{1}{4}$~of the apples are rotten. How many non-rotten apples grow in Toby\textquotesingle s garden each year?

8df7c69637724afeb40a650136d884cc

1

short_answer

What is the percentage increase from $160$ to $168$?

ed6460b42a0146b59f0890c10edd817c

1

short_answer

$14 \times 7 \times 2$

e27aaf5d541a4c6dac0a50ca457f87ab

1

short_answer

The total mass of $$3$$ sacks of rice and $$3$$ packets of oatmeal is $$36\text{kg}$$. Each sack of rice is twice as heavy as a packet of oatmeal. What is the mass of each sack of rice?

b746b9baab8c4a33bd87af0d6945be01

1

short_answer

Solve for $x$. $5(6x+1)-2x=89$

b423b47f8b544d03af8cc3a8a122e9ab

1

short_answer

Evaluate $$A=1^{3}+2^{3}+3^{3}+4^{3}+5^{3}+\ldots+12^{3}$$.

b9c7443e6d2446d1880d97e9932a5033

1

short_answer

When $$4$$ kilograms of a $$30 \%$$ sugar water is mixed with some $$10 \%$$ sugar water, it gives a mixture with a sugar concentration of $$26 \%$$. How much $$10 \%$$ sugar water is needed?~\uline{~~~~~~~~~~}~$$\text{kg}$$

5bb77e251c3740d5aab8750dc2aef4ff

1

short_answer

During a sale, the price of a bag was $$$32$$ after a $$20 \%$$ discount. Henry was given a further discount of $$$4$$. What was the total percentage discoumt given?

94f427d14d9b4d18afe48096055372d1

1

short_answer

A jar with 5 chocolates in it has mass 185g and the same jar with 17 chocolates in it has mass 317g. What is the mass of the jar with 10 chocolates in it?

a8239f9e0ecd49818a91f1dd8da80bf9

2

short_answer

The number $$144$$ can be written as a sum of equal parts. For example, $$144 = 48 + 48 + 48$$; $$144 = 24 + 24 + 24 + 24 + 24 + 24$$.~ Note that $$144 =100 +24 +20$$ and $$144=144$$ are not sums of equal parts. How many ways can the number $$200$$ be written as a sum of equal parts?

bbe36118c29249729aad8891551bb3d7

1

short_answer

If $$a\otimes b=a\times b-a-b+1$$, find the value of $$((2\otimes 3)\otimes 4)$$.

2d23c45ab97549b4b8ab41ad32224d76

2

short_answer

Wheat is planted evenly along the side of a rectangular field, measured in $$144$$ m by $$204$$ m. If there are $$116$$ wheat in total and every corner of the field is planted with a wheat, the distance between every $$2$$ wheat is~\uline{~~~~~~~~~~}~m.

f88ff061bff143cb95b6f618e6e1efd8

1

short_answer

Lana and Mark had $674$ sweets at first. After Lana gave away $\frac{1}{3}$ of her sweets and Mark ate $34$ of his sweets, they had the same number of sweets. How many more sweets did Lana have than Mark at first?

c316b949005a4f70998bf21b2636f3e1

1

short_answer

Dorothy has $$96$$ stickers. She has $$8$$ times as many stickers as Timmy. Kevin has $$45$$ more stickers than Timmy. How many stickers does Kevin have?

00bac1b894d8400c927244d5ab291236

1

short_answer

Robert enjoyed his summer holiday. He spent half of it working in a music store. He spent half of the remaining time reading and relaxing at home, and, after spending $$4$$ days at a friend\textquotesingle s house, he had exactly $$2$$ weeks left to attend a summer camp. How long (in days) was his summer holiday? Answer~\uline{~~~~~~~~~~}~

3110b53620c0471aa2cb667c3ce65e77

0

short_answer

If a cat take $$10$$ minutes to catch a fish, how many minutes will $$5$$ cats take to catch five fish?

b9c45a7f41d84579a8250cc2efdbeda0

1

short_answer

A watermelon is 5 times heavier than a pineapple. The watermelon is 5.6 kg heavier than the pineapple. What is the weight of the watermelon?

b3542d3cc8af443f8b242a3a4d02cd92

2

short_answer

Wheat is planted evenly along the side of a rectangular field, measured in $$144$$ m by $$204$$ m. If there are $$116$$ wheat in total and every corner of the field is planted with a wheat, the distance between every $$2$$ wheat is~\uline{~~~~~~~~~~}~m.

f2e2f998455a41098dae005947481855

2

short_answer

A number is added with $$3$$, next divided by $$4$$, then multiplied by $$9$$, and the result is $$81$$. What is that number?