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english_AAAI_Math

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Use the numbers below to complete the calculations. You may use each number more than once. $2$~ ~ ~ $6$~ ~ ~ $1$~ ~ ~ $10$~ ~ ~ $5$~ ~ ~ $3$ ~\uline{~~~~~~~~~~}~$\div 3=2$

24f3890540474354abf2b6aab5320a8e

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How many ways can we write the number 15 as the sum of three positive numbers not smaller than 3?

e4302d8e3fe6443f86fb2f2192888ff3

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(UK St Paul's Girls School Sample Paper Section $A$ Question $$4$$) Calculate $37 \times 4 \times 5$

f73c33519c0241a3819521391ab37f99

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Work out $495 \div 9$

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$$John$$ had $$180$$ more cookies than $$Peter$$. After $$John$$ sold~$\tfrac{4}{5}$~of her cookies and $$Peter$$ sold~$\tfrac{3}{10}$~of her cookies, $$John$$ had~$\tfrac{1}{2}$~as many cookies as $$Peter$$ left. How many cookies did $$John$$ have at first?

749c7cdc53e24203887314d85737cdc8

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short_answer

A given number is a multiple of $$4$$. It is between $$5$$ and $$15$$. It is also a factor of $$36$$. What is the number?

f0c276e8ed7d4821a196335de4288bc4

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short_answer

Think Academy has $32$ pencils and $40$ pens to give students as gifts. Each student should receive the same amount of pencils and pens, leaving no spare pens or pencils left. How many students at most will be able to receive the gift?

35b813cb449f448997d243f1033f3d44

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short_answer

Choose $$4$$ digits, without repetition, from $$1$$, $$3$$, $$4$$ and $$7$$ to form two $$2$$-digit numbers and add them up. What is the minimum value of the sum?

e9ac9bbd3734447f886684d6a291bb73

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Theo has taken $$4$$ tests and his average mark is $$60 \%$$. He scores $$70 \%$$ on his fifth test.What is his average now?

794ee5871b124fb5a74edc519e0ba668

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short_answer

There are 6 horses, 12 pigs and 12 rabbits on the farm. Last week, each horse ate 20kg of apples, each pig ate 15kg of apples and each rabbit ate 5kg of apples. Find the average amount of apples eaten by each animal last week.

f37924ba75cc416ea7c7bd48e7b219c5

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With some 3-digit numbers, the third digit is the sum of the first two digits. For example, with the number 213 we can add 1 and 2 to get 3, so the third digit is the sum of the first two digits. How man 3-digit numbers are there where the third digit is the sum of the first two digits？

a0efd19a57614ce1b7d082746b893c41

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short_answer

Pip wants to buy $$6$$ cups of ice-cream for his friends. The full price of each cup of ice-cream is $$4$$ dollars. Currently, the ice-creamland has two sale pla

ced80c2b218f4935873bd032dc151175

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short_answer

Eddie gets some peaches for Class A and Class B. If all peaches are given to Class A, each student can get $5$ peaches and there will be $10$ peaches left. If all peaches are given to Class B and each student can get $8$ peaches, we will need $2$ more peaches. It is known that Class A has $3$ more students than Class B. How many peaches does Eddie get?

762265e33a1846639ea872d9802d0788

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short_answer

Round $3172$ to the nearest $100$.

7a1ae541cfea449eb61ea2f963babc55

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Benson spent $$ $74$$ while Jayden spent $$ $120$$. The amount of money Benson had left was three times as much as the amount of money Jayden had left. If both of them had a combined total of $$ $590$$ at first, how much money did Jayden have left?

8e18ac8eb4bf4eb1aa2ab441e1aa8f37

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There is such a positive integer: if it is divided by $$7$$, the remainder is $$2$$; if it is divided by $$9$$, the remainder is $$3$$; if it is divided by $$11$$, the remainder is $$4$$. Find the least possible value of such a number.

359bfb2629704d10a8dd53892a5dc3f6

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If $$S=2+22+222+2222+\cdots +\underbrace{222\cdots 222}_{2017'\,'2'\,'\text{s}}$$, what is the sum of the last $$5$$ digits of $$S$$?

296fcbb0011f488f90d6fbcdc37797a7

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An orange drink is made by mixing water with concentrated orange juice. $$\dfrac{3}{4}$$ of the orange drink is water. How many litres of water will be in $$12$$ litres of orange drink?

af2c741435fd4a9c86c69499b4f20b42

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$145+37=$~\uline{~~~~~~~~~~}~

09786a51b6224d4080e5d4e9523b4288

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\textbf{$$n$$~}is the units digit when $$547$$ is multiplied by $$479$$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~}

fd1283ec4ba7444fabc638211f9fb2c9

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How many centimetres are there in $$212.4$$ metres?

40405459ec9349f392fa92d748ff0ae5

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$$32068-1774$$

1893b64c811b4996a464e737aadc6c57

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Betty and Kevin finish watching a movie in the cinema and want to go home. Betty leaves earlier than Kevin and arrives at a grocery store in $$6$$ minutes. At this time, Kevin has walked $$150$$ metres. If both continue walking for another $$3$$ minutes at their previous speeds, Kevin will arrive at the store, and Betty will be $$900$$ metres away from the cinema. Find how many minutes earlier Betty leaves than Kevin does.

b2f8f67236184468a93d906237dd6e44

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It is known that the whole number in each box below is the same. $$□\times □+□=380$$ What is the whole number?

98327552e4884c52bb882152f3999d49

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In a survey of $143$ pet owners, $100$ said they own a dog, and $14$ said they own a goldfish. $9$ said they own both a dog and a goldfish. How many owned neither a dog nor a goldfish?

8012fb86c41b408f81b73e1a65e6726b

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$$314-159=$$~\uline{~~~~~~~~~~}~

459d851ac5cd4dcd8da1397633b3b589

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The drink ``Raspberry Heaven'' is $1$ part raspberry juice, $2$ parts orange juice and $3$ parts apple juice. How much raspberry juice does a $300$ ml glass of Raspberry Heaven contain?