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english_AAAI_Math

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c58c5d01acfc430494432756a46333bc

1

short_answer

Find the sum below. $$30+40+50+30+40+50+30+40+50$$

74c9ac42df4148feacf2613537771942

1

short_answer

Uncle Lee is making masks, and he has completed $$60 \%$$ of the work. There are still $$360$$ masks to make. How many masks in total is he going to make？

cf37fa4d8197426aa1fcab8a861e06d2

1

short_answer

Judy\textquotesingle s dad was gathering mushrooms for a total of two hours. During those two hours, he gathered $$40$$ mushrooms in total. If he could have gathered $$26$$ more mushrooms in the first hour, the number of mushrooms that he gathered in the first hour would be equal to the number of that in the second hour. How many mushrooms did Judy\textquotesingle s dad gather in the second hour?

975e68a88e6347caa844fbf5ca68107e

1

short_answer

A professor gives out $$40$$ questions for Noa and his $$4$$ classmates to solve. Everyone should solve at least one question, and the number of questions solved by each student cannot be the same. What is the largest possible number of questions Noa can solve?

c1041fa9a5bf437993ae13aa3e37085f

1

short_answer

The ratio of Scan\textquotesingle s age to Ted\textquotesingle s age is $$1:4$$. The ratio of their ages $$4$$ years from now will be $$1:3$$. How many years ago was the ratio of their ages $$1:9$$?

411faed309f74656b50d4010f9f71511

0

short_answer

Round $$278$$ to the nearest $$10$$. ~\uline{~~~~~~~~~~}~

6adbd55fec9e4553850968c3abf80ddd

1

short_answer

Work out $52.8 \times 7$

a20ccf64b8a1484aa5b1280c574930fa

1

short_answer

The coldest temperature ever recorded on earth (at Vostok station in Antarctica) is $$-89^{}\circ\text{C}$$. The hottest temperature ever recorded (it was somewhere in Libya) is $$58^{}\circ\text{C}$$. By how many degrees Celcius is the \textquotesingle hottest hot\textquotesingle{} greater than the \textquotesingle coldest cold\textquotesingle? Answer :~\uline{~~~~~~~~~~}~$$^{}\circ\text{C}$$

4fc438b08e484934a9e0729ceb008c74

1

short_answer

Every morning, Star goes out to exercise. At $$\rm 6:30$$ a.m., Star leaves home and jogs at a speed of $$6.5$$ miles per hour. At $$\rm 7:30 $$ a.m., Star feels a little bit tired and walks at a speed of $$4.5$$ miles per hour. At $$\rm 9:30$$ a.m., Star finishes her exercise. How many miles does Star travel in total every morning?

16943328c1ba4a80883339e370325f73

1

short_answer

Round $4321$ to the nearest $1000$.

2f6aeacb6c0049d8990d1ffd7bffdc5d

0

short_answer

What is $$9$$ metres in centimetres? ~\uline{~~~~~~~~~~}~centimetres

ec690aff1f1e4750a9a76a1e9427e744

1

short_answer

$200\times30\times60$

f4da090f08704285bf99c48d28b8f30e

1

short_answer

There were $$476$$ foldable and non-foldable bicycles in a shop for sale. After $$208$$ bicycles were sold, $$\frac{{5}}{{9}}$$ of the non-foldable bicycles and $$\frac{{4}}{{7}}$$ of the foldable bicycles were left in the shop. How many foldable bicycles were sold?

ca0885fd429b47b29cbca128a13934e5

1

short_answer

A snail is climbing a clock tower which is 45 metres high.~ It climbs up 10 metres during the day and slides down during the night. 1 metre on the 1st night, 2 metres on the 2nd night,~ 3 metres on the 3rd night, $\cdots$ and so on. Which day would reach the top of the tower?

ef539f6c79ef45e6a787351ed4759e6b

1

short_answer

There are $$276$$ mollies in a pond. The number of mollies is $$2$$ times the number of goldfish in the pond. There are twice as many goldfish as guppies. How many more mollies than guppies are there?

1e39295f7be440f19c866b2c67eb6233

0

short_answer

A model village is made to a scale of $$2\text{ cm}$$ to every $$3$$ metres. A real tree is $$12\text{ m}$$ tall. What is the height of the model tree?

db83e40568bc4ed1abb293d337e3b898

1

short_answer

Valeria distributes many pieces of candy to $$20$$ students at random. To guarantee that no matter how these pieces of candy are distributed, and that there is always at least one kid who can get at least $$3$$ pieces of candy. How many pieces of candy should Valeria prepare at least?

0f326466fded430f8bb9c80424cf6fb4

1

short_answer

What is the sum of all factors of 20?

0b6455df8e764e0297e3e34a90919102

1

short_answer

$5\times34=$~\uline{~~~~~~~~~~}~

98bea305d2724084a1300cba10c4995b

1

short_answer

There are $$20$$ questions in a mathematics contest. $$8$$ marks will be awarded for each correct answer. $$4$$ marks will be deducted for each wrong answer. All the questions must be answered. If Isabelle scores $$100$$ marks in the mathematics contest, how many questions does she answer correctly?

dfd006a02012410fbbb4bcbd7a08eeda

1

short_answer

Howard bought some flour to make pizza for his family reunion. He used $\dfrac{5}{8}$, and has six thousand grams remaining. How many grams of flour did Howard buy originally?

b7f55925dab84b38804fc61f246c5093

2

short_answer

Yohan had 10 white socks, 10 red socks and 10 black socks in his drawer. How many socks at most, must Yohan take from his drawer, without looking, till he gets a pair of white socks?

0f98369691cc4fa8828f869e61430e64

1

short_answer

Calculate $60 \%$ of $765$

61b231b8c15b475c917f5d10487169ba

1

short_answer

There were some lamp posts placed at regular intervals along a $50$m road. Jamie planted $3$ flowers between every $2$ lamp posts. If he planted $30$ flowers in total, what was the distance between every $2$ lamp posts?

a1e43bc939ea4c6fb34a34753a72751b

2

short_answer

Calculate: $1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19=$~\uline{~~~~~~~~~~}~

318cb203ec2b4e69af03513f0f5f7db2

1

short_answer

Work out $$1741-968$$ Answer:~\uline{~~~~~~~~~~}~

4341f23ecb084909afaca690c7016fd3

1

short_answer

$3\times126$

54d9517c5a7c4afaa953d1464774e445

1

short_answer

Linda is putting her books on the shelf. Among the books, there is one her favorate book. There are $6$ books on the left of her favorate book. Couonting frome the right, it is the $14\textsuperscript{th}$ book. How many books are there on the shelf?

13404c9d8a0144d0a8d6ce4d8a80834c

1

short_answer

What temperature is $17^{\circ}\text{C}$~less than $8^{\circ}\text{C}$?

de8f312c348043bca42e8c7aa90f7a69

1

short_answer

A tree is planted at every $$10$$ metres along a stretch of road. If the stretch of road is $$150\text{m}$$ long and the trees are planted at opposite ends of the road, how many trees are there?

a4bab2ddc00f4d6db863991f6cc9b894

1

short_answer

What number goes in the box? $\dfrac{4}{5}$~of~$\boxed{ \overset{ }{\overset{ }{ }}}=48$.

1f2fa42e73c245739af9883dfb728d2f

1

short_answer

I write down a sequence of numbers. My first number is $160000$ and then I divide by $4$ to get the next number each time. What is the $5^{th}$~number in my sequence?

f712d845b49943c78aeaa70968af1f15

2

short_answer

Work out~$(13.8\times10^{7})\times(5.4\times10^{-12})$ Give your answer as an ordinary number.

7c68f55d51744cc39eaac03dbd0615e5

1

short_answer

Lucy brought $30$ sweets to school. She decided to keep $6$ sweets for her sister. She gave away the rest of the sweets equally to $6$ of her friends. How many sweets will each of the friends get?~\uline{~~~~~~~~~~}~sweets.

7cd63e4421874b14aac53b57251e8230

1

short_answer

Nineteen apples are distributed among $$5$$ children. Each of them can get at least one apple, and no two of them get the same number of apples. For the child who gets the most apples, what is the largest possible number of apples he or she can get?

1fd121a0e4224cf5a769dd8b70d3cb9b

1

short_answer

There is a square lawn with a side length of $12$ metres. Some rosebushes are planted inside the edge of the garden. Each bush is to be planted $1.5 $ metres from the edge of the garden, and $3$ metres from its neighbouring rosebushes. How many rosebushes are required to complete this in total?

19d110feae03410cb8fbd2510aacfe2a

3

short_answer

P can complete a job in 12 days working 8 hours a day. Q can complete the same job in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, how many days can they complete the job?（⭐⭐⭐⭐）

f1f0d797b7874b22a4002f5247bb2471

1

short_answer

Two vans travel from the same place but in the opposite directions. The faster van travels at $$132 \text{km}$$ per hour, the other van at $$78 \text{km}$$ per hour. How far apart are the two cars after $$8$$ hours?~\uline{~~~~~~~~~~}~km.

537950035403436781a4ec53ef771d8c

1

short_answer

Solve the equation: $\frac{2}{3}(x-1) - \frac{1}{4}(3x+1) = \frac{1}{6}$.

696c23fc06e14b05a2c046255119fd33

1

short_answer

Uncle lee is making masks, and he has completed $$60 \%$$ of the work. There are still $$360$$ masks to make. How many masks in total is he going to make？

75b8e7d0476046b699f4dc0ad1ac6abd

1

short_answer

Calculate: $$\left( 2-1.8 \right)\div \frac{1}{2}\times \frac{5}{2}$$．

aa00ee47d18541ea8553ef86e27f0748

1

short_answer

Pinkie took the midterm exam and got her score back. If she took 30 points off, she would get the same score as if she halved her original score and then add 10 to it. What is her original score? Write an equation to solve the question.

a6f93d90cbad41798ee50c1162ac774e

1

short_answer

A farmer just picked $$78$$ apples. He wants to put them into some bags and make the number of apples in each bag the same. The number of the bags is an even number. How many ways are there to divide the apples?

68df60021a694c14829fcbe8cf5ae9a5

2

short_answer

If $$9$$ rabbits can be exchanged for $$3$$ goats, $$2$$ goats be exchanged for $$4$$ cows, how many rabbits can $$2$$ cow be exchanged for?

a17df35105e1488fb14099c56b437550

0

short_answer

Find the average of $$12$$, $$16$$, $$20$$, $$24$$ and $$28$$.~\uline{~~~~~~~~~~}~

c49938cd48584dd7af3a734aee5be731

1

short_answer

Amna takes a test with $$50$$ questions. Four marks are given for each correct answer but one mark is taken off for each question she gets wrong. If Amna scores $$168$$ in the test and doesn\textquotesingle t attempt $$3$$ questions at all, how many questions did she answer correctly? (There is no penalty for not attempting a question in this test that Amna takes)

a3c6321b718247e1a8c87ed13d6bfa40

1

short_answer

In my desk, the number of pencils and pens was in the ratio $4 : 5$. I took out a pen and replaced it with a pencil. Now the ratio is $7 : 8$. What is the total number of pencils and pens in my desk?

e07c7a8fcd134268ba390e93dbde6058

1

short_answer

There are $$10$$ rows of seats in a school hall. The first row has $$30$$ seats. The second row has $$34$$ seats. The third row has $38$ seats and so on. How many seats are there in the school hall?

4657d3f1b0d749a7899c0ce49a8d740d

1

short_answer

Given $$a \#b=ab-5a+8$$, then what is $$10 \#9 \#8 \#7 \# 6 \# 5 \# 4$$?

6f9eda7abbf146b88413ef8871a3770e

2

short_answer

Mike bought some books that he hoped to earn a $60 \%$ profit after selling them. On the first day, he sold $70 \%$ of his books at a profit of $60 \%$. On the second day, he sold all the remaining books at a discount. If the total profit was $80 \%$ of the planned profit, what would be the discount rate on the second day?

36b7c8ca803942679b913576ffc1164b

1

short_answer

$$40 \%$$ of the children on a school trip are boys and there are $$72$$ girls. How many children are on the trip?

06be771ddff04930b7a9da426c7d1667

0

short_answer

Mr. Beckham the fruit stall owner had $$96$$ strawberries at first. During the National Day holidays, his pet secretly ate $$73$$ strawberries without Mr. Beckham\textquotesingle s permission. After Mr. Beckham found out that, he bought another $$52$$ strawberries. How many strawberries did he have now?

cc24fe62d17a41c2b8ef24f004c5e021

1

short_answer

From a pile of newspaper, a number of consecutive pages are missing. The last page number before the missing pages is $$14$$ and the first page number after the missing pages is $$35$$. How many sheets are missing from it?

c51419313ddf46ada3ba30f9e095d92c

1

short_answer

$$8^{2}+27=$$

8b11a69372f04c60a5ae352fe25c67d9

1

short_answer

Jenna bought $12$ tuna puffs and $19$ curry puffs for $$ $39.60$$. Each curry puff costs $$ $0.20$$ less than a tuna puff. How much was each tuna puff? $ $$~\uline{~~~~~~~~~~}~

1501e7c8fa1943abaaf5e0674516ab89

2

short_answer

Two(different) numbers are selected from $$0$$，$$1$$，$$2$$，$$3$$，$$6$$ and $$8$$. How many two-digit odd numbers can be formed？

fdfe690a562d4d6bbf61eceb229efec5

1

short_answer

Elizabeth thinks of a number less than $500$. When her number is divided by $5$. it gives remainder $1$. When her number is divided by $8$, it gives remainder $4$. When her number is divided by $9$, it gives remainder $5$. What is Elizabeth\textquotesingle s number?

3a37961dddb1493592a78ae3db74b6e6

2

short_answer

Calculate:~ ~$4\times8+4\times17=$

bc66529b008c4e1590163de5bfb2e7d7

0

short_answer

There were $$38$$ children at a fun-fair. Every boy received $$2$$ balloons each and every girl received $$4$$ balloons each at the fun-fair. A total of $$126$$ balloons were given to the children. How many boys were at the fun-fair?~\uline{~~~~~~~~~~}~

d1dd44a77a9344ba8d2e79cc83171fae

1

short_answer

Pip counts from 10 to 25, how many numbers he counts?

143d2e71979c46a0a813017c419c172c

1

short_answer

Jasmin can ride a bike at a constant speed of $36$ meters per minute. How many meters can she ride in $200$ seconds?

250641e98bbf4da6a3ad1c67bad85305

3

short_answer

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?

1d23a4cf5cd24aa78d4522ee259f6ea9

1

short_answer

$$Calculate.$$ $$1\frac{2}{3}\times 1\frac{2}{5}\times 1\frac{2}{7}\times 1\frac{2}{9}\times 1\frac{2}{11}\times 1\frac{2}{13}\times 1\frac{2}{15}\times 1\frac{2}{17}\times 1\frac{2}{19}$$．

d4b69388447b40c1b49c9da3070b537d

0

short_answer

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

ae1399c1d3834a26a096bf6302870872

1

short_answer

Haoyuan needs $400$ pieces of string measuring $85\text{cm}$ each to tie some decorations. She can only buy strings in rolls of $20\text{m}$, so she did some calculations, and says that she will need $17$ rolls. Is she correct? If not, how many rolls does she need?

53bc7d0205304d2f983aa90502860e23

1

short_answer

Work out $863 \times37$

e850469f35b74929a1cad1745166a939

1

short_answer

In $$3$$ years\textquotesingle{} time, the sum of the ages of John and Emma will be $$27$$. John is $7$ years older than Emma. How old is Emma?

af4a495ebf5c4ddcacec30bac10e45e8

3

short_answer

$$A$$ has fewer than $$40$$ cookies. If $$A$$ puts $$6$$ cookies into each box, she will have $$5$$ cookies left. If $$A$$ puts $$5$$ cookies into each box, she will be short of $$3$$ cookies. How many cookies does $$A$$ have?

22889dd8c0654312a1905b6415cc2e99

1

short_answer

Every month, Mike donates $$\frac{1}{4}$$ of his salary to charity. He spends $$\frac{5}{6}$$ of the remainder on food and saves the rest. If he spends £$$78$$ more on food than on donation to charity, how much is his salary?

1ecdd14157fe4525aa6c08b14b9eb1dc

1

short_answer

What is the last digit of the expression below? $$\underbrace{2\times2\times2\times\cdots\times2}_{2017 ; 2s} \times \underbrace{3\times3\times3\times\cdots\times3}_{2017 ; 3s}$$

de288ae7d0a442c4a9c046e0eed208ce

2

short_answer

David walks in the park at a speed of $$150$$m per minute. Ten minutes later, he increases his speed by $$50$$m per minute and walks for a while before returning home. David walks a total of $$3700$$m today. How long has David spent walking in the park?

cc03092bb36e4ec3a7e2bb8f320c115b

1

short_answer

Given the $$7^{\rm th}$$\textsuperscript{~}term is $$57 $$ and the $$15^{\rm th}$$ term is $$89$$ in an arithmetic sequence, find the common difference in this sequence.

41c46720b9f14be894784705391637b0

1

short_answer

Bernard thinks of a number. When the number is divided by $$2$$, the remainder is $$1$$. When the number is divided by $$3$$, the remainder is $$2$$. When the number is divided by $$5$$, the remainder is $$4$$. When the number is divided by $$7$$, the remainder is $$6$$. It is less than $$400$$. What is the number?

0806f05076574fdcaf845a2224dc162a

2

short_answer

A seven-digit number is in the form $\overline{47A1B9C}$, with all digits different. It is divisible by 9. What is the value of $ A + B + C$? What this number could be ?

05796f765d214621bf4c7e2a5b70ed1e

1

short_answer

Ellie has $240$ sweets. Each week she buys $45$ new sweets and eats $60$ old ones. After how many weeks will she have $150$ sweets left?

e4f1396967f949e8aac075d260a9e904

1

short_answer

Jessie, Bella and Carrie go shopping. Jessie buys two apples and an orange which cost her $$40$$p. Bella buys one apple and two oranges, which cost her $$35$$p. Carrie buys one apple and one orange. How much does she pay?

252e549ce3e84c9fa92978ffc5919293

1

short_answer

How many different three-digit numbers can be formed with the digits $$5$$, $$6$$, and $$7$$ if each digit can be used more than once in each number?

84f7de20cdd542549b782f41e1b21e72

1

short_answer

When a packet of sweets is shared equally among $$3$$, $$4$$, $$5$$ or $$6$$ children, there are always $$2$$ sweets remaining. If each child gets at least $$1$$ sweet, find the least possible number of sweets in the packet.

833677d869d1418d96be1acc39cb4ff5

2

short_answer

There are $$37$$ students in class $$3$$A. $$18$$ of them join sport class, $$22$$ of them join reading class. If each of them at least joins one of the classes. How many students join both classes？

4d679466d49c48a5ba8bd1230747a070

1

short_answer

Ryan is given $140$ dollars to buy two pairs of tennis rackets and some tennis balls. The price of each racket is $49$ dollars and that of each tennis ball is $1.5$ dollars. How many tennis balls can he buy?

adce279592f04e808385106fbc96b9c7

1

short_answer

There are $$4$$ purple, $$4$$ white and $$4$$ red balls in a bag. Without looking into the bag, at least how many balls must be drawn so that there will definitely be $$3$$ \uline{different} coloured balls?

6b3303365ecc41dab11b7954d4116eb6

1

short_answer

Work out $581 -- 229$

8e151c79d73b44098fb3999b3b61196d

1

short_answer

Heinz has $$87$$ chocolates and receives $$4$$ chocolayes every week. Jed has $$137$$ chocolates and gives away $$6$$ chocolates per week. After how many weeks will they have the same number of chocolates?

57221fd378d74100a636076027c2568d

2

short_answer

There are $$12$$ points on a circle such that the distances between adjacent pairs of points are all equal. How many right angled triangles can be formed by joining any $$3$$ of the points?

70f1a5fb307c4820a64c6b9c7a3e8ba6

1

short_answer

$1$ box of donuts have $6$ donuts. Maryam bought $6$ boxes of donuts for her birthday party. She ate $3$ donuts on her way home. How many donuts does she have left?

3d4453f48b85485db44a73fe0e83a81c

1

short_answer

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

ca43287494e7451e9a31849cb5bdfb51

2

short_answer

Maths Olympiad 《Solve by Comparison and Replacement》 Pr$$3$$\&$$4$$ Question \#$$8$$ $$3$$ similar boxes of apples and $$5$$ similar boxes of oranges weigh $$\text{270kg}$$. $$3$$ such boxes of apples and $$7$$ such boxes of oranges weigh $$\text{342kg}$$. How heavy are a box of apples and a box of oranges?

deeb116148504ace9de18dfb01c2ab56

1

short_answer

A badminton racket and $$5$$ identical shuttlecock have a total mass of $$205\rm g$$. $$2$$ such badminton rackets and $$15$$ such tennis balls have a total mass of $$515\rm g$$. What is the mass of a badminton racket?

ee76cce07a1c443dab8df84aab143d24

3

short_answer

Expand and solve the equation:~$5\left( 6c-1\right)=-35$.

aedfdb2e53834d18b4dd9b71091562bf

1

short_answer

Some forest animals are in a line waiting to get into a party. The tiger, the king of the forest, says, "I am standing in the exact middle of the line and I am also the $$11$$\textsuperscript{th} as well. "~The fox, who is clever, knows how many animals are in line immediately (including the tiger). How many animals are in line?

de0a19ac15d54fe88a6e870b218a8ac6

1

short_answer

Roger\textquotesingle s monthly salary is $1.2$ bitcoin. Roger owns Robin for $2.6$ bitcoins. How many months does Roger need to work to pay his debt?

a6b4f6eda2dd4c1086279d0e363ac3fb

1

short_answer

Add together $$\frac{1}{3}$$ of $$24$$, $$\frac{2}{5}$$ of $$30$$ and $$\frac{1}{3}$$ of $$15$$.

f232bcc26c5b4a5f9cf2fd8102e72acd

1

short_answer

How many three-digit numbers are there that have the sum of their digits equal to $4$?

3590a4b33e5c474cba9961cce5263a4b

1

short_answer

Nancy divides $24$ roses into $3$ vases. After Nancy has already divided, her mother brings back some other roses and Nancy divides them into another four vases. Each vase has the same amount of roses. How many roses in total are there?

b2590928a5354962820ebf5c75fbea46

1

short_answer

Complete the following: $33+34=100-\boxed{\overset{ }{\overset{ }{ }} }$.

4ebbc0a9bb1e42cd8e77949e6447a0d2

1

short_answer

Work out $$36.42 \times1000$$

5843cc2900624024adfb41c64f5bdf23

1

short_answer

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

aa8b7ff7b5d044b3b3060a29be5c6a9b

0

short_answer

What is two thousand, four hundred and five plus one thousand, eight hundred and twenty seven in words?

a0808fb3383548829621ede423be79eb

2

short_answer

A positive whole number less than 100 has remainder $2$ when it is divided by $3$, remainder $3$ when divided by $4$ and remainder $4$ when divided by $5$. What is the number?

ffcd2dd5014240228dc1917324db1930

2

short_answer

In a candy box, there are $$2$$ candies in lemon flavour, $$7$$ candies with cherry flavour and $$1$$ candy in mint flavour. If Will hates to eat candy in mint flavour, how many candies can he eat at most?