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english_AAAI_Math

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5a8b109d6748455c802ec8c38135b025

1

short_answer

Work out~$12.4\div40$.

888e7a05c66a49078a06713b83ca6ce1

1

short_answer

Chloe and Gordon had an equal amount of money at first. Chloe spent $$ $20$$ each day and Gordon spent $ $25$ each day. When Chloe had $ $157$ left, Gordon had $ $82$ left. How much did Gordon have at first?

ed32aedbb2a34499a71cf190747aeb19

3

short_answer

Student $$A$$ and Student $$B$$ both had a mathematic test. Student $$B$$ told student $$A$$ "If you gave me $$24$$ points, my result would be $$2$$ points less than yours." Student A told student B "if you gave me $$25$$ points, then my result would be $$5$$ times that of yours." What is the score Student $$A$$ got on the mathematic test?

3900795ab2d94196ad395c7483e5c648

1

short_answer

Work out $$813\times72$$.

33e79ce7d01446d9a282b54a045a5e8e

2

short_answer

How many regions at most can $10$ identical circles divide the plane into?

c96b47bede684b9f8ba38d50dd4e1086

1

short_answer

Thompson has $8$ bags. There are $4$ pens in each bag. How many pens does he have in total?

678881c9e47f44f59d88da4a1055e2af

0

short_answer

Find the value of x：$$10-2\left( x-9 \right)=2x-4\left( 5-x \right)$$

0b8067aa5d3f4321a2018a93d46b6c9e

1

short_answer

How many ways can we write the number 14 as the sum of three different positive numbers?

57ff93a0b8da463fa5f80c4c21a775ee

1

short_answer

Two boxes, P and Q, each contain 3 jewels. When a jewel worth £5000 is transferred from P to Q, the average value of the jewels in each box increases by £1000. What is the total value of all 6 jewels?

27c967821aaa4f3f9ac178e7c395b919

2

short_answer

How many consecutive zeros, beginning from the ones digit, are there in $$1 \times 2 \times3 \times4\times5\times \cdots \times9\times10$$?

a5905a83aea54ed7b0165353ec295c7e

1

short_answer

Alan bought $20$ melons for £$15$. $\dfrac{1}{5}$~of the melons were bad so he threw them away. He sold the remaining melons for £$1.50$ each. Work out Alan's profit.

7ce4a67e0ab846d8bd1eb78dffb57e9e

1

short_answer

Rei bought $$150$$ oranges and $$100$$ apples for her neighbours. She divided the oranges equally among them and had $$17$$ oranges leftover. She also divided the apples equally among them and had $$5$$ apples leftover. How many neighbours were there?

a2a533fc1c424f969f5fae611daad3e8

2

short_answer

Rob draws a line that measures 10cm. He draws a cross at the beginning and end of the line and then draws a cross every 1 cm along the line. How many crosses does he draw in total?

52bacc6ef48b44b8bc4d02992a7b6173

1

short_answer

$8.7 \times 3.4=$~\uline{~~~~~~~~~~}~

9ed7da1b104344da81a0dc411168159e

0

short_answer

Fill in the box. $$6.23-\square=5.72$$

ee0568f16c2b4ce48ef303d392601ff8

1

short_answer

Oscar hung up $75$ balloons in his house according to the following pattern "red, red, green, yellow, yellow, green $$\cdots $$". How many green balloons did he hang up?

684f885693764340afae67d6e64e96ab

1

short_answer

Sandra had more marbles than Jessica at first. After Sandra gave Jessica $$13$$ marbles, Sandra had $$6$$ fewer marbles than Jessica. How many more marbles did Sandra have than Jessica in the beginning?

07c7c85bda4847ceafa321fc737bd219

1

short_answer

There are some lamp posts along a street at equal distances apart. The distance between the $$1$$st and the $$6$$th lamp post is $$60\textasciitilde\text{m}$$. What is the distance between the $$1$$st and the $$9$$th lamp post?

ce622d4ae66d44e1bcc0df82fbe961fc

1

short_answer

In a chess league there are $$3$$ teams and they all play each other once. How many matches are there altogether?

e29e4f297900441f9110516bd6b642d0

2

short_answer

James has $3$ bags of strawberries. There are $15$ strawberries in the first bag, $27$ strawberries in the second bag, and $19$ strawberries in the third bag. James decides to distribute some boxes of $8$ strawberries among his friends. After distributing some boxes, he finds that he does not have enough strawberries to make another box. How many strawberries has he left?

0edc4483e1764691b7f15e9bedcc4156

1

short_answer

Dani wrote the integers from $$1$$ to $$N$$. She used the digit $$1$$ fifteen times. She used the digit $$2$$ fourteen times. What is $$N$$?

33e6fe50af554266b27e4c2074a6a3f9

0

short_answer

Kate bought some pieces of candy. She ate $$\frac{1}{3}$$ at home and brought the rest to school. She shared the candy with her seven friends so that each friend received $$26$$ pieces of candy. If Kate left with $$22$$ pieces of candy, how many pieces of candy did she initially buy?

14e3978e40d049dbad0dcf4a4cf738df

1

short_answer

In a building with $$25$$ floor, Andy and Bob are competing to climb the stairs. Each of them climb at aconstant speed. When Andy reaches the $$9^{th}$$ floor, Bob reaches the $$5^{th}$$ floor. At this rate, when Andy reaches the top floor, Bob will be at which floor?

66aa3aec53fa48d1aa6897cfab540921

1

short_answer

Two-thirds of $\square =8$

0f48eb78665e4e5ba3b372be6f2eab93

1

short_answer

Find the value of $$m$$. $$\overline{12m}=9\times \overline{1m}-2$$.

25e5a7db39a14e5080bf1594f85931a6

2

short_answer

James is typing words. If he keeps the original speed, he can finish the work in $3$ minutes; but if he types $30$ more words per minute, he can finish the work $1$ minute earlier. How many words does he need to type in total?

593a8f96d20c408d86fda58e89c71746

1

short_answer

There are $$10$$ lights in the classroom and they are labeled $$1$$ to $$10$$, but none of them are on now. Ms. Lily came to the classroom and started pressing the switches from the one which labeled as $1$, pressing one every other one alternatively in order. Then Sam pressed each of the switches marked with an even number of lights $$7$$ times. How many lights that are on now?

fc7f764e9d664c45bf77553a3e6315b8

2

short_answer

Pail $$A$$ contains $$\frac{2}{3}$$ as much water as Pail $$B$$. When $$4$$ litres of water is poured from Pail $$B$$ into Pail $$A$$. Pail $$A$$ will contain $$\frac{7}{8}$$ as much water as Pail $$B$$. What is the total amount of water (in litres) in both pails?

eefc87844ecc4f2285ce5feedafa6913

2

short_answer

A worm is staying at the bottom of a well with a depth of $$8$$ metres. If it climbs up $$3$$ metres in the daytime and slips down $$2$$ metres at night, which day will it climb up to the ground?

2891d5c6bf714aaaaf484ccacdcf4660

1

short_answer

A table cost two times as much as a chair. Two tables and three chairs cost ＄$$280$$. How much does each table cost?

0442d07405364ff5bc82f86bcabbc881

1

short_answer

The sugar content of a $$900\text{ml}$$ bottle of rose syrup is $$6 \%$$. How much sugar must be added to the bottle such that the sugar content becomes $$10 \%$$?

841da503f5384dbabdbc92f2a781fe22

1

short_answer

A seamstress can make $$2$$ dresses in one day. How many dresses can $$2$$ seamstresses make in $$9$$ days?(Assuming both are able to make $$2$$ dresses in one day.)

957e833104764c96b1f4eea0f026e06f

1

short_answer

Eddy is solving the following Math question. A factory needs to make $$100$$ spare parts. The factory has already made $20$ spare parts in the past $$2$$ hours. Assuming the same speed, how many more hours will the factory need to finish the remaining amount of spare parts? Below is Eddy\textquotesingle s working: In $1$ hour $$\rightarrow20\div 2=10$$ spare parts Time needed $$\rightarrow100\div 10=10$$ hours Is Eddy correct? If not, show the correct working and find the answer.

b18d474df71d462c9b1d16e929a17ca3

1

short_answer

A large chocolate bar costs $$50$$ pence. How much do $$4$$ bars of chocolate cost?

a9df9fef73994fa0adfd6c7233026811

1

short_answer

There are $$5$$ red, $$5$$ white and $$5$$ yellow 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?

53629bc84abc46a99608abaf3f651c5c

1

short_answer

A school buys $$720 $$ books for Grades 4, 5 and 6. The number of books in Grade 5 is $$4$$ more than twice of that in Grade 4, and the number of books in Grade 6 is $$8 $$ more than $$3$$ times that in Grade 4. How many books does Grade 6 get?

94b2228e40b74d7c81c5e89a014088b7

2

short_answer

At a Christmas party, the teacher asks students to take out $$2$$ glass balls from a bag with many glass balls in it. These glass balls are exactly the same in shape, size and texture. But they are in $$5$$ different colors as red, yellow, white, blue and green (students cannot see the color before they take balls out). There is an interesting finding: there are always $$2$$ people who have taken out the same kind of balls. There are at least~\uline{~~~~~~~~~~}~people who participate this activity.

028b46b0fbd045fa90a02a752e75494c

2

short_answer

Numbers are drawn from the $$32$$ integers $$10$$ to $$41$$. At least how many number(s) is/are drawn at random to ensure that there are two numbers whose product is divisible by $$4$$?

d432ce5fae8d408da28df3d9a18e9baf

2

short_answer

Hisham and Melissa had $$876$$ cards. Melissa had twice as many cards as Hisham. How many cards should Melissa give Hisham so that both of them have the same number of cards?

cfb59b638eb341b18ad204a7ce303359

1

short_answer

Work out $$20504\div8$$ ANSWER~\uline{~~~~~~~~~~}~

6a23c9856a834221b62e63996c06f972

1

short_answer

A sequence goes up by the same amount each time. The first term is $5$ and the third term is $19$, what is the common difference in this sequence?

0370e917ba5444c99e91df970a15bb74

2

short_answer

Gary has a piece of rope that is 2 m 20 cm long. He cuts it into two equal pieces. How long is each piece? Write your answer in cm.

555f0cafaf514767b0fe800156cb0727

1

short_answer

Emily bought 195 cakes for the party and each cost cakes costs £46. How much does she spend for cakes?

4a1f680de9ae4c519ea93c401f8702e6

2

short_answer

Calculate: $$(1+0.23 +0.34)\times (0.23 +0.34+0.45)-$$ $$(1+0.23+0.34+0.45)\times (0.23 +0.34)$$.

284c25d3574441a78eaf010240003c8c

1

short_answer

Calculate: $$50\times 50+49\times 51+48\times 52+47\times 53+46\times 54$$．

6196c646546f4ef5bf8c9473472fe841

1

short_answer

What is the product of the smallest two-digit prime number and the largest two-digit square number?

aa9463208898426a81ae9e66616bff47

1

short_answer

$\dfrac{40}{ +5}=5$

7a03810f71064f1b8a00a0c741b7d68e

3

short_answer

On his $14$th birthday, Brian\textquotesingle s father was $41$. Brian noticed that his age was the reverse of his father\textquotesingle s age. How old will Brian be the next time his age is the reverse of his father\textquotesingle s age?

6c18ef58e8b240a0b1d815b125d4e754

0

short_answer

$9\div0.2$.

0249d770955143e49182729ffbddfa3d

1

short_answer

Suppose that 1 U.S. dollar is worth $0.96$ euro. Sherry is traveling in Europe, and she wants to buy a cup of coffee, which costs $4.8$ euros. How many U.S. dollars does the cup of coffee cost?

7f0edbf8e5cb484f87961218f9db99d0

2

short_answer

If $a,b,c,d,e,f,g,h,j$ represents different digits from $1$ to $9$ such that $a+\frac{b}{c}+\frac{d}{e}\times f-\left(g+\frac{h}{j} \right) = N$, where $N$ is a whole number. Find the largest possible value of $N$.

105d3ea760424235a98e71c0d8ca6303

1

short_answer

Given that three natural numbers $$A$$, $$B$$ and $$C$$ (the numbers can be the same) have a sum of $$19$$, find the largest possible value of $$A\times B\times C$$.

020a47d927424600b54866be0f9e7377

3

short_answer

A school library had $$3900$$ books. The ratio of the number of Chinese, Malay and English books is $$4 : 3 : 6$$. When the school bought $$510$$ new books, the number of Chinese books increased by $$20$$\% and the number of Malay books increased by $$10$$\%. Find the percentage increase in the number of English books.

6a75c42493d548a6833f83188863c29b

1

short_answer

Duncan bakes some banana cakes. He can distribute them equally to either $$12$$ or $$56$$ friends with no remainder. What is the smallest number of banana cakes he could have baked?

51c43a6b56234d0e83f79c035496cdfc

1

short_answer

A total of $12$ juniors and $8$ seniors participated in Sports Day. Given that the average score of the juniors was $10$, and the average score of all the $20$ participants was $14$, find the average score of the seniors.

062deceefd35411f997b29c901129f1c

1

short_answer

A number when rounded to the nearest hundred is $$9700$$. What is the smallest possible value of the number?

0c10d6b8653d43ff821582cda7ac2c32

1

short_answer

Four years ago the combined age of the 2 dogs was 10 years old. What will the combined age be in 2 years?

7e469a60ae594c1eb1c906000dd9e1b3

3

short_answer

Woody organised a quiz night in the toy room. He asked $25$ questions. For each correct answer you gained $4$ points. For each incorrect answer you lost $2$ points. For each question you did not attempt you scored $0$ point. Rex answered all but one of the questions and got a score of $66$ points. How many correct answers did he have?

38dff589122e45f682f4fbac9629ef22

1

short_answer

Mochi attended a Geology Competition which had $90$ questions. Mochi answered $60 \%$ of them. For each correct answer, Mochi will get $5$ marks. However, for each wrong answer, Mochi will have $2$ marks deducted. For each unanswered question, one mark would be awarded. If Mochi scored $264$ marks in total, how many questions did Mochi answer correctly?

61ca6c49f97240f88a3d539f152d6ee5

1

short_answer

Mr Andy has some apples and $$10$$ containers. No matter how he distribute the apples, there will be a container that will have at least $$2$$ apples. What is the least number of total number of apples in all the containers?

ad17dd64f37241d8a7ec221ca69a178b

1

short_answer

Calculate：$$0.\underbrace{00\cdots \cdots 0}_{2018\textasciitilde of\textasciitilde0s}1058\div 0.\underbrace{00\cdots \cdots 0}_{2019\textasciitilde of\textasciitilde0s}92$$

158af0779d9e4980a24fe0fec884683c

1

short_answer

Tiara can make $160$ cookies using $50$ grams of butter. How many grams of butter does Tiara need to make $300$ cookies?

85cb1cd4dcbe4dca96112c2906555a7c

1

short_answer

$15.9 \times 2$

f4f1fe067a974d22bfe3b0f49a7ee798

1

short_answer

Dedra had $$4$$ times as much money as Timm at first. Both received $ $$$$72$$ each. Now, Dedra has twice as much money as Timm. How much money did Dedra have at first?

eb93ba1f7aac42b6a7670ab7c76772c4

1

short_answer

If we write whole numbers starting from $$1$$ to form a $$1000-$$digit number $$N$$ as follows: $$N=12345678910111213\cdots$$ , what is the unit digit of $$N$$?

33c000792028428a9334d9f3595c547f

0

short_answer

Fill in the box. $3\times\square-2=19$

748996495b98460c9ede4e3d079565a2

1

short_answer

Jane is $5$ years older than Jack. If the sum of their ages is $33$. How old is Jane?

6c63bbe1764848a7a7edbe24ddc026e9

1

short_answer

Scientists were studying the amount of vitamins $$\rm A$$, $$\rm C$$, and $$\rm E$$ contained in fruits. Every type of fruit investigated contained at least one of the three vitamins. It was found that there were $$62$$ types of fruit containing vitamin $$\rm A$$, $$90$$ types of fruit containing vitamin $$\rm C$$ and $$68$$ types of fruit containing vitamin $$\rm E$$. In addition, there were $$48$$ types of fruit containing both vitamin $$\rm A$$ and $$\rm C$$, $$36$$ types of fruit containing both vitamin $$\rm A$$ and $$\rm E$$, and $$50$$ types of fruit containing both vitamin $$\rm C$$ and $$\rm E$$. Furthermore, there were $$25$$ types of fruit containing all three types of the vitamins. How many types of fruit were studied?

390c6b384a7c47feba87ecb9961bf4c4

0

short_answer

$$6.91-0.13$$.

26973dde1699489cb5a3ca2bb878350e

1

short_answer

Louis is lining in a row to get on the train. There are $23$ people in the row. There are $14$ people behind him, How many people are in front of him?

6a9590e4dc124affafcabb1bb2c4dbf3

1

short_answer

$257.36\div0.4$

bfaf5aa76fe74c98aade35dd2f53d568

2

short_answer

There are $$18$$ pupils in a hall. How many ways can $$3$$ pupils be seated in a row?

9561236e6a034115a599777cf75dad5c

0

short_answer

$$6.31-3.2$$

9874ade3ca974e3a9cbed1309bdbedc8

1

short_answer

Kevin\textquotesingle s monthly salary is $1.4$ bitcoin. Kevin owes Robin for $5.04$ bitcoins. How many months does Kevin need to work to pay his debt?

d60abe09efb64d48bd30a37956fbb0c9

1

short_answer

Jack is $$4$$ years old. Jason is older than Jack. Bruce and Willie are of the same age as Jason. The total age of the $$4$$ children is $$19$$ years. How old is Jason?

1cf4ab67a6aa43e2b4e76978de4840ad

1

short_answer

Andy gave some erasers to his friends. If each of them received $$5$$ erasers, he would have $$3$$ erasers left. If each of them received $$6$$ erasers, he would be short of $$2$$ erasers. How many erasers did Andy have?

6a64f533a5b44e0a81122bb8514d9b21

1

short_answer

Jake is John\textquotesingle s father. The sum of their ages is $$44$$. In $$14$$ years, Jake will be twice as old as John. How old will John be in $$14$$ years?

b999190a8cc2489a92311c186296685f

0

short_answer

Jonathan has three times as much money as Veronica. Veronica has ＄$$9$$. Rachel has＄$$48$$ more than Jonathan. How much money does Rachel have?

4d93eb426c534eb2b0fcd1e85de53d1d

1

short_answer

You deposit some money into an account which earns $6 \%$ annual interest. If you can withdraw $2360$ dollars from this account after 3 years., how much do you need to deposit now?

c65b1dcd5d9542dc8301c97e47a9f794

1

short_answer

There was an old woman who lived in a house. She had 9 children at regular intervals of 15 months. The oldest is now six times as old as the youngest. How old is the youngest child?

57e7b37a36d64b3ea1c8eaf24798521c

1

short_answer

Insert two pair of brackets to make the result of the equations smallest. $$15+5\times5+15-6+7$$

db674de270ac4711b415cc34c37f9aff

1

short_answer

Work out $2018-786$

d1a297dde50e43a99002f159a8a8b64a

3

short_answer

What is the value of $$\frac{1^{2}+2^{2}}{1\times 2}+ \frac{2^{2}+3^{2}}{2 \times 3}+ \frac{3^{2}+4^{2}}{3 \times 4}+ \ldots + \frac{2007^{2}+2008^{2}}{2007 \times 2008}$$ when it is rounded to the nearest whole number?

2763d0dc70154f8c927352d51849cbe4

2

short_answer

Mr Turner\textquotesingle s combination lock has $$4$$ digits. When he changes the digit in the ones place to the first digit of the combination lock, he notices that the new $$4$$-digit number is greater than the original number by $$5877$$. What is the smallest original combination lock number?

342cd5472a69472ab392495beba4ee8b

1

short_answer

Cayden and Jiaxiang have some sweets. Cayden has $$5$$ more sweets than Jiaxiang. If Cayden gives Jiaxiang $$10$$ sweets, what will be the difference in number of sweets they have now?

fd0626678d7e40de84c59fc2f0b662e1

1

short_answer

$2.5\times7.7+0.25\times23=$

28b3d4a0798e4f5d952dbe5322188194

0

short_answer

Determine the number of multiples of $11$ that are between $50$ and $150$.

1ebf8cccb54b4188b3cdecb0ff9b3e1b

1

short_answer

Calculate: $$75\times 0.29+75 \%\times 74-0.3\div \frac{2}{15}$$．

3a0b88faf37e4067b5a697aa6c171c8d

2

short_answer

Mary is in a small class of $$6$$ pupils, but was absent for the Maths test last week. The other five pupils scored an average of $$72 \%$$. Mary wrote the test this week and, with her score included, the class average went up to $$75 \%$$. What mark did Mary score on the test? Answer~\uline{~~~~~~~~~~}~

e1cf756e61684775af46c3970f3ab17f

1

short_answer

A train with a length of $$200$$ $$\text{m}$$ is moving at a speed of $$60$$ $$\text{m/s}$$. Find how long it takes for the end of the train to cross a bridge with a length of $$220$$ $$\text{m}$$.

176806bd2d38491fb95d4bb561a6bcc2

2

short_answer

Mrs Tan sold $$200$$ cookies in a day. She sold $$\frac{1}{5}$$ of the cookies in the morning and $$\frac{3}{4}$$ of the remainder in the afternoon. How many cookies did she sell in the afternoon? Pip\textquotesingle s answer:~$200\times\dfrac{1}{5}\times\dfrac{3}{4}=30$

439376d5d90d4b149b7e06233ef1f948

1

short_answer

Fatimah thought of a $$3$$-digit odd number. The number was divisible by $$9$$. The digit in its tens place was divisible by $$4$$. What was the greatest possible $$3$$-digit odd number?

a9f9d09538154b1e94723a8e9651f18f

1

short_answer

Tiger wants to distribute $11$ identical doughnuts to four students. If each student is required to get at least one doughnut, how many ways are there to distribute the coins?

2610ab8c39aa47039e5d5e3e44e751e3

1

short_answer

The wet market is $48 \rm m$ from Auntie Lina\textquotesingle s house. Auntie Lina can walk $8 \rm m$ in one minute. How many minutes does it take her to reach the wet market? Aunt Lina thinks that she just need \textbf{$$5$$} minutes. Her working is done below: Minutes took===\textgreater$$48\div 8 = 5$$ Is she correct? If she is wrong, write the correct answer.

850576e4f94e42508fc4e975ba331970

1

short_answer

There are $$4$$ red, $$7$$ green, $$6$$ blue and $$2$$ orange marbles in a bag. Jane is blindfolded. How many marbles must she draw from the bag so that there are guaranteed $$4$$ different coloured marbles?

e3d851587fc14bcdbe8c7bfda9cd6200

1

short_answer

Angela visited a newsagent and paid for her items with a five pound note. When she received her change there were five coins, each of which was different and the value of each was a multiple of $5$ (in pence).How much did she spend?

16953792ef8c48809eac37a4caf5d3f5

0

short_answer

$0.2 \times 7 =$

e81257a894bf49f182de3109989a386e

1

short_answer

At midday in Moscow the temperature is $4$$^{\circ}\text{C}$. By midnight the temperature has dropped by $11$$^{\circ}\text{C}$. what is the temperature at midnight?

3d7b8c3bc3f54a2dbce551c74529dd16

3

short_answer

David had a total of $$38$$ notes. The notes are either $$$2$$ notes or $$$10$$ notes. After he spent $$80$$\% of the $$$10$$ notes and $$75$$\% of the $$$2$$ notes on a fan, he was left with thrice as many $$$10$$ notes as $$$2$$ notes. How much did the fan cost?

04e3e33129dc4f65bfae11d6c879f614

1

short_answer

Five bee hives can produce $$50$$kg of honey in a year. How many more hives are needed to produce $$90$$kg of honey in a year?