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english_AAAI_Math

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dfa6543288d54c429575cda96cbfdc86

2

short_answer

In a school table-tennis league each team plays each of the other teams \textbf{twice} during the year, once at home and once away. If there are $$30$$ matches in total during the season, how many teams are there in the table-tennis league?

03409dc9701540c6a419d3a46178c3c1

0

short_answer

$528 + 30$

adf81947d41b4b1e99112db71d0a03fa

1

short_answer

The clothing factory plan to make $$3600$$ sets of school uniforms. It made $$720$$ sets for the first $$5$$ days. If the factory make uniforms at the same speed, how many days will it take to complete the order?

8211d1479b8042baafb1f9c517bfcb00

2

short_answer

There are $$10$$ steps on a flight of stairs, Nelson can either climb up one steps or two steps everytime. Additionally, his lucky number is $$5$$, hence he would want to step on the fifth step. How many different ways are there for him to climb up the $$10$$ steps?

1f6bb23ddb7b4674a491542df7d83ca5

1

short_answer

The sum of three numbers is $$7656$$. The first number is $$1099$$ more than the second number. The third number is $$877$$ less than the second number. Find the value of the second number?

6b0695abb6df4ba593213d47fe31343a

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short_answer

The summer camp at Think Academy has $$45$$ girls, and the number of girls is $$21$$ less than three times that of boys. Find the number of boys participating in the summer camp.

e72460d64b534a3298ee1f886015ab98

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short_answer

How many $$0$$s are there at the end of the product $$2\times2\times2\times3\times8\times5\times5\times25$$?~\uline{~~~~~~~~~~}~

928e94ae89fa44c5874fa56b5f7f9faa

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short_answer

\textbf{$$n$$}~is a square number between $$40$$ and $$50$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~

4d1826d9ba0f4ebbb85234e705eb930d

1

short_answer

$$5.824\div0.4$$

b791f9f3418348b2b25b747708582ba4

1

short_answer

A jug contains 150 ml of water. Bella uses the jug to pour 3 cups of water. Each cup contains 40 ml of water. How much water is left in the jug?

70fdf0a16e48489da5ef6d613c075f2a

1

short_answer

What number is halfway between $0.7$ and $5.1$?

dcd09d0a6e93478eb3e9e8bd7ce45d74

0

short_answer

Work out $$936\div54$$.

01024c395010440bb3461f6a74c2772d

0

short_answer

Angel bought $3$ notebooks, $4$ pencil cases and $5$ erasers at $$$50$$. A notebook and a pencil case cost $$$6$$. A pencil case and an eraser cost $$$8$$. How much did a pencil case cost?

2cbe94dcc30b432db9e9911ee6b53171

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short_answer

Alice is twice as old as her sister now. In $$10$$ years\textquotesingle{} time, their total age will be $$53$$ years old. How old is Alice now?

46c81f732f2f457ea8198cbda5de4904

1

short_answer

The product of four consecutive natural numbers is $$3024$$. What is the largest of these four natural numbers?

f347b0c1866d4183abf11ae869f9ba55

1

short_answer

$527 -- 9$

3efa9649b4a9475fad4ee03677e8ceed

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short_answer

Bob has $$15$$ more Match Dfex cards than Alan. Colin gives Bob $$25$$ cards. Bob now has $$3$$ times as many as Alan. How many has Alan got? ANSWER~\uline{~~~~~~~~~~}~

648fd5bbe5184a74a37d66b24481008b

1

short_answer

Mr Manson wanted to buy some markers for his new tuition centre. He decided to purchase an equal number of packs of $6$, $8$, $9$ and $15$ markers. He needed at least $1000$ markers in total. What is the least number of marker packs Mr Manson needed to buy?

5563bcc54cdc46f8b6be436624c0097b

1

short_answer

There were $$10$$ students in a class. Each student shook hands only once with the other $$9$$ students in the class. How many handshakes were there in total?

2efad079da624ca689f0016c3dcf7602

1

short_answer

Work out: $$34\times19$$ Answer:~\uline{~~~~~~~~~~}~

a8b915f14aa548d4a3dd9ab3e68ccce6

1

short_answer

For $$0.1\dot{1}99251\dot{7}$$ and $$0.2\dot{3}456\dot{7}$$, these two recurring decimals have the same $\text{n}^{}\text{th}$ decimal digit, that is $7$. What is the smallest value of $n$ that meets such requirement?

4e17d0e9e030497eb049f15de9682760

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short_answer

Anne has some apples. Maria has $$20$$ apples more than Anne. Altogether they have $$44$$ apples. How many apples does Anne have?

f66a33367339488285ad5b4dd84375df

1

short_answer

Circle the number that is \textbf{closest to $$6789$$}. $678 6798 6879 9876 6987$

74956c812140447db809a56e7b348996

1

short_answer

What is the difference between $$20 \%$$ of $$90$$ and $$90 \%$$ of $$20$$? Answer:~\uline{~~~~~~~~~~}~

0e1fad8ec8d14086ac428eca327ba26b

1

short_answer

Jason reads a 550-page storybook, he read 30 pages on the first day, 70 pages on the last day, he read same amount more each day than the day before. how many more pages does each day he read than the previous day?

8863cd48f2b44608bc940bde6c45c8fd

1

short_answer

In the morning, the fruit market buys $$416$$ pounds of fruit, and the fruit market buys $$248$$ pounds of fruit in the afternoon. How many more pounds of fruit does the fruit market buy in the morning than in the afternoon?

efe5d1d421074320ad4c3900d67cbf17

1

short_answer

Candy makes a cup of orange juice. The ratio of the orange to the water is $$2:25$$. She uses $$10\textasciitilde\text{g}$$ orange. How much water does she use?

5750692f9864439ba5afe8796b229fda

1

short_answer

Ellie has entered a skating competition which is judged by five people. To win, Ellie needs an average (mean) score of at least $$8.5$$. The first four judges award Ellie $$7.9$$~ ~ ~$$8.3$$~ ~ ~$$8.8$$~ ~ ~$$8.6$$ What is the lowest score the final judge could award for Ellie to win? ~\uline{~~~~~~~~~~}~

3cb49c7c36f6450c8a64796070308cdc

0

short_answer

$$60-8(2x-5)=4$$．x=．

7fa90f34a95a47b59d3a3839cc104395

1

short_answer

Mike deposited ＄$$10000$$ in the bank. He earned an interest of＄$$816$$ at the end of the second year. What is the interest rate per year of this bank?

e2aa604a164645d08fcb78a7d4b2edac

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short_answer

Johnny is working on his math homework. ~\uline{~~~~~~~~~~}~$$\div $$ $4$ = $9$ R $2$ The following is his solution: $9\times2$ = $18$ $18+4=22$ Answer = $22$ Is his answer correct? If not, circle out his error and write out the correct working.

dede4ea0d33d4f38a225a8f17f3bc881

1

short_answer

If I think of a number, double it and then add $7$, the Answer is $43$. What was my original number ?

27bc5028c63b41e1a9f9d0def88902ee

1

short_answer

The ratio of time taken to cover a certain distance by Peter and Hannah is $3:4$. The speed of Peter is $15\rm cm/s$ faster than the speed of Hannah. What is the speed of Hannah?

1098f69ccd5544cc85bda00f27b8a033

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short_answer

The total cost of a mango and a pear was £$$3.40$$. The total cost of a mango and an apple was £$$3.80$$. Brad bought $$4$$ mangoes, $$2$$ pears and an apple for £$$13.20$$. Find the cost of a mango.

3082b2d8519e44a1ad584e668793812a

1

short_answer

Emily, Victor and Victoria sold a total of $$320$$ concert tickets. Emily sold thrice as many tickets as Victor. Victoria sold $$68$$ more tickets than Emily. How many concert tickets did Victoria sell?

b9075265d1ee4df3938f4e17c31577cb

0

short_answer

$3.7+5.7$

dd3e36501a5c492dab63fa293539b326

2

short_answer

Owen had some fifty-cent and one-dollar coins.$$ \frac{2}{7} $$ of his coins were fifty-cents coins. His mother gave him $$10$$ one-dollar coins and five-dollars\textquotesingle{} worth of fifty-cent coins. In the end, he had twice as many one-dollar coins as fifty-cent coins. How many coins did Owen have at first?

6422fe3aeecf483ba766cbd4e64ac26a

1

short_answer

Peter is taking a math exam. There are three parts in the exam: multiple choices, \textquotesingle fill in the blank\textquotesingle, and short answers. The duration of the exam is $90$ minutes, and Peter has already spent $23$ minutes in the multiple choices questions and $35$ minutes on the \textquotesingle fill in the blank\textquotesingle{} questions. What is the possible time he can spend on the last section (short answers) if he wants to finish the exam on time?

dd7483c3437a49a9a145debe3fa29718

1

short_answer

It takes a $$850$$-m long train $$45$$ s to entirely cross a tunnel. The train moves $$30$$ m each second. Find the length of the tunnel.

3b1b4add028148159a147e645f93b19a

3

short_answer

What is the maximum number of parts that a plane can be divided by $$5$$ circles and $$1$$ line?

adde032b1234481e91098235d742001a

3

short_answer

There are four entrances to a high speed rail station. Joe, Mike and Tina are going to enter the station to take the high speed rail. Joe and Mike cannot join the same entrance. The order in which the three people enter the station is uncertain. How many different ways are there for them to enter the station?

88a249b7e2d34dfe98ded5f27cc37e47

1

short_answer

Kenneth\textquotesingle s weekly pocket money was $$ $55$$. He saved $$ $32.50$$ of his pocket money and spent the rest on food and transportation. The amount he spent on food was twice the amount he spent on transportation. How much money did he spend on food? $ $$~\uline{~~~~~~~~~~}~

424ae64f8f474576a4106f853829077b

1

short_answer

The water rate of the apartment that Irene lives in is $$4$$ dollars per ton for the first $3$ tons with additional usage charged at a rate of $$3$$ dollars for each additional ton. There is also a fixed service fee of $$4$$ dollars. How many tons of water can she use for $$109$$ dollars at most?

582a93bd201d467584951df06919257a

0

short_answer

Find the number $$H$$ such that the following statement is true: $$7\times H=45\times7 + 13\times7 $$

e80abf22da4c4703bbd3c8b8cb247517

1

short_answer

$3258\div9$

5d63dffe5e5b4c6195a4e20ccdebb0f0

3

short_answer

$$Amelia$$ had $$160$$ cookies and $$Bala$$ had $$320$$ more cookies than $$Daniel$$. $$Bala$$ had~$\tfrac{1}{2}$~as many cookies as $$Amelia$$, $$Carl$$ and $$Daniel$$. $$Carl$$ had~$\tfrac{3}{4}$~as many cookies as $$Amelia$$, $$Bala$$ and $$Daniel$$. They had $$6230$$ cookies in total. How many cookies did $$Daniel$$ have?

19e51d8fef124cbcb849c81b5dde55d3

1

short_answer

If the quotient of a division is $$15$$, and the remainder is $$6$$, calculate the smallest possible dividend.

ba3935cd34094e49a8cea4e788c25c2f

2

short_answer

A man employs two gardeners, one works quickly and the other one is lazy. It takes the two gardeners $$8$$ hours to mow a lawn, but it would only take the quick gardener $$12$$ hours to mow it on his own. How many hours would the lazy gardener take to mow the lawn on his own?

5d728c04569e4acda389027dab33f9d6

1

short_answer

Steve has some apples and oranges. The number of oranges was $$32$$ more than the number of apples. After giving away $\frac{1}{3}$ of his apples and $$\frac{1}{2}$$ of his oranges, he had $$100$$ fruits left. How many fruits did he have in total at first?~\uline{~~~~~~~~~~}~

e94e14d7daec44d3928cf6249572099e

1

short_answer

（$$2012$$ Math Kangaroo Problem, Levels $$1-2$$, Question \#$$15$$） Eve brings $$12$$ pieces of candy, Alice brings $$9$$ pieces of candy and Irene doesn\textquotesingle t bring any candy. They put all the pieces of candy together on a table and divide them equally among themselves. How many pieces of candy does each of the girls get?

d21ed197c3554a4494dc5ae572154e6c

1

short_answer

Noah and Pete had $ $75$ altogether. Noah and Howard had $ $145$ altogether. Howard had $3$ times as much money as Pete. How much money did Noah have?

ab8b76c78fba49bba15b8e9295c78803

1

short_answer

Belinda has $36$ tomatoes. After she gave $7$ tomatoes to Matthew, they have the same number of tomatoes. How many tomatoes did Matthew have at first?

ef768e372ece4b9c863d8281a92c382f

1

short_answer

Jenny had $ $182$ at first. She spent $ $5$ each on $x$ dresses. She then spent $ $3$ each for $x$ skirts. If she has $ $5x$ left, find the value of $x$.

b4d71da68bcc434e8354987810259e88

1

short_answer

Calculate the following: $$[2017]- {201.7 }+[20.17]- {2.017 }$$．

b2aea1c47ffd41fb983fc289346c687f

1

short_answer

Trains from the green line and red line set out from the terminal at the same time at $5$ am in the morning. Trains from the green line set out every $5$ minutes and trains from the red line set out every $6$ minutes. At what time will trains set out from both terminals at the same time again?

d1701c8b237c4c5181c58dcde299fe9b

2

short_answer

Solve the following: $$1\times 2+1\times 3\times 4+1\times 3\times 5\times 6+\cdots +1\times 3\times 5\times 7\times 9\times 11\times 13\times 14$$．

a5d947afabb14059a86977035b7e71e6

1

short_answer

The capacity of a jug is $990$mℓ. After Marc poured $3$ cups of water into the empty jug, it becomes half-full. Find the capacity of each cup.

aec33ac892404f198dfd2e4806f460f4

1

short_answer

There are some trees planted along the roadside. There will be a tree for every $$3$$ meters. Olivia is going home from school (assuming the speed of walking is constant). She takes $$3$$ minutes to walk from the first tree to the $$101th$$ tree. If the distance between the school and Olivia's home is $$4000$$ meters, how long does it take for her to travel to school (without taking into consideration the width of the tree)?

cd28c0514392451480947377c812fcb5

1

short_answer

$$Calculate$$. $$77.5\times 52 \%+5.2\times 2.25$$．

65e148bb5a774c4b8538009506ae4475

1

short_answer

$$15$$ cars were stuck in a traffic jam. Counting from the front, a blue car was $${{8}^{\text{th}}}$$ in the traffic jam. What was its position if we count from the back of the traffic jam?

4274973e4812443fb90e78a925599481

2

short_answer

$3$ apples and $2$ bananas costs £$1.25$ $1$ apple and $1$ banana costs £$0.48$ Work out how much it would cost to buy $5$ bananas.

258f6418c7a44634b786fa4d69d806ec

0

short_answer

Write $29381$ correct to the nearest $1000$

7d415985d40749aeae60fb6233cfafce

1

short_answer

Rabbit food costs $$$80$$ for $$100$$ grams. What is the cost of $250$ grams of rabbit food? Give your answer in $．

e9f47ee528114383ba4f6be4529ce4b8

3

short_answer

Calculate: $$4^{2}+8^{2}+12^{2}+\cdots+124^{2}$$.

f24d6740b95540bf84759a2c0479e327

2

short_answer

Find the value of $${{6}^{2}}+{{11}^{2}}+{{16}^{2}}+{{21}^{2}}+\cdots +{{41}^{2}}+{{46}^{2}}+{{51}^{2}}$$.

5fcdd3004ac646839223368cdc7d8517

1

short_answer

$2017 + 597$

80479df10d714924af0698610d81b4e7

1

short_answer

$10000$ years ago, Owen the fisher traded $5$ fish for $2$ rabbits from Oscar the hunter. Then, Oscar traded $4$ rabbits for $7$ packs of wheat from Dennis the farmer. How many fish should Owen give Dennis for $14$ packs of wheat?

9a284d31007d42739f51042d9bcfbb75

2

short_answer

There are $3$ entrances to an amusement park. Len, Joe, Angle, and Jack are going to enter the park. They can choose the same entrance, or different ones. Each entrance must be entered by at least one person. The order in which the four people enter the park is uncertain. How many different ways are there for them to enter the park?

739abceeaa8940b49a1de4e16f2e066f

1

short_answer

There were $$6$$ questions in a mathematics competition. $$5$$ marks would be awarded for every correct answer. $$2$$ marks would be deducted for a wrong answer. If Valerie scored $$23$$ marks in the mathematics competition, how many questions did she answer correctly?

210032ce53ff4939827463e6a45cdfea

3

short_answer

65\%~ ~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?

854b6e25b0df409b8d09ffcf3c018a12

1

short_answer

Find the mean of $$4$$, $$6$$, $$12$$ and $$18$$.

1f3d2852ba334ae381d67ba4685feefc

2

short_answer

Justin was asked how old he was. In reply, he answered "In $$18$$ years\textquotesingle~time I will be $$4$$ times as old as I was $$6$$ years ago." How old is Justin?

d1030adb2d044db580ef9ccb90cd0ce2

1

short_answer

Tim needs 124 minutes to complete a drawing. How long does it take for him to complete 111 drawings?

e705de293fcb400b9a1dfb656dfa1166

3

short_answer

$$A$$ had some cookies. If $$A$$ packed $$8$$ cookies into each box, she would not have any cookies left. If $$A$$ packed $$9$$ cookies into each box, she would have $$1$$ cookie left. What was the least number of cookies that $$A$$ had?

fd98368e011c40af9c0a16f0fe8c92a9

1

short_answer

$$378 - 196 =$$

ceadf2b1ae6f4d6885ecfbb1cd6a855f

1

short_answer

Bud thinks of a number. When the number is divided by $$4$$, the remainder is $$1$$. When the number is divided by $$5$$, the remainder is $$2$$. When the number is divided by $$6$$, the remainder is $$3$$. It is less than $$100$$. What is the number?

cb887c2f2c5545b7a05451b8ef325c36

1

short_answer

Which number is halfway between $$2.6$$ and $$4.8$$?

99f042a00a454b7493149ecaa15aeaae

2

short_answer

Cindy accompany her mother to the supermarket. There is an ongoing promotion. (1) If customer spends $$$20$$ dollar and above, the person will get a $$$4$$ off. (2) If customer spends $$$50$$ dollar and above, the person will get a $$$15$$ off. Cindy\textquotesingle s mother bought some groceries and the total cost for the items are $$$62$$. How much should Cindy\textquotesingle s mother pay in the end?

fb6bdead23d74b31a9f612a923a7e6d0

1

short_answer

$828 + 191$

6689bf51afe64009a81b09cd69008faf

1

short_answer

There are $$10$$ books in two cases, and the number of books in each case is the same. How many books are there in six cases?

4bc1254a6fe041a991a7100f650c67ac

1

short_answer

The Dragonvale Middle School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?

86e9c26ad82341cfa9a20b2d32bf56b0

0

short_answer

Jason, Adam and Tom are siblings. They are $$6, 9$$ and $$10$$ years old. Tom\textquotesingle s age is a multiple of $$3$$. Jason is younger than Tom. How old is Adam?

07a423a429ad445dae3180bf686780f7

1

short_answer

There are $$5$$ red, $$5$$ white and $$5$$ yellow balls in a bag. At least how many balls must be drawn so that there will definitely be $$3$$ \uline{different} coloured balls?

ccebb61c3253490ca4582aebc55574a0

1

short_answer

This year is $$2023$$. Will repeatedly writes $$2023$$ until the $$n$$-digit number~$20232023\cdots20232023$ is a multiple of $$11$$. What is the value of $$n$$?

60b666d3655c439dae65e37097947530

1

short_answer

$$224-75=$$~\uline{~~~~~~~~~~}~

84dcdcd96c1048d69413739dad19be6d

1

short_answer

Solve the equation. ~$4b-9=7$

07da074b86d84faabb12f53c21c42e0c

0

short_answer

Write eighty thousand and forty in figures.

72e7f1101ae74488b35a8eb2c990d03b

1

short_answer

(UK St Paul's Girls School Sample Paper Section $A$ Question $$5$$) Calculate $483 \div 21$

218136d2d92e439d904e0302f6af8a72

1

short_answer

$28$ apples are distributed to Avril and five other children. Each of them can get at least one apple, and no two of them get the same number of apples. For Avril, what is the largest possible number of apples she can get?

50398a9afcad4e3e91e6a646e9abe499

1

short_answer

If $$\blacktriangle +\blacktriangle =\blacksquare$$ and $$\blacksquare +\blacktriangle=●$$ and $$◆=●+\blacksquare +\blacktriangle$$, how many $$\blacktriangle$$s are equal to $$◆$$?

7c9de8ac84804f9ba2fe6b73d259b89d

1

short_answer

From $$1$$ to $$400$$, how many digit "$$3$$"s are there in total?

21a782c4b45c43f9b4ecbc9c1de7c46b

1

short_answer

Mr Lee had $$$984$$. He bought a laptop using $\frac{5}{8}$ of his money. How much did the laptop cost?

e9497c826db341cda1c37f184c32773e

1

short_answer

The ratio of Jocye\textquotesingle s speed and Lori\textquotesingle s speed is $3:2$. If Lori can run $2$ meters per second, how far can Jocye run in $10$ seconds?

e1599fd308ba411f82f7fa4febd782fe

1

short_answer

The average of two numbers is $$60$$. If one more number is added, the average number become $$70$$. What is this newly added number?

40c1e8a02c9845be9b54d604dedcbd90

1

short_answer

Hannah left school at $$15:22$$. She walked to the bus stop and just caught the bus at $$16:01$$. The bus trip took $$18$$ minutes. She then walked home from the bus drop off point, eventually getting in at $$16:35$$. How long did Hannah spend walking altogether?

b93faf4325af43f9b9ddf824cb85bb6d

0

short_answer

The ages of all people in a room can form an arithmetic sequence. The youngest person is $16$ years old, the second youngest person is $23$ years old, the third youngest person is $30$ years old, and so on. If we know the oldest person is $79$ years old, how many people are there in the room?

2a34cf02f3524187ba971bb585f0ff12

2

short_answer

Ken had $$$15$$ more than Lisa at first. After Ken gave some of his money to Lisa, he had $$$21$$ less than Lisa. How much money did Ken give to Lisa?

ea15746d343648b5b1905e6b6b3058e1

1

short_answer

At a Math competition, these were the following rules: 1. There are $9$ questions in total. 2. If you get Question $1$ right, you will be awarded $1$ trophy. If you get Question $2$ right, you will be awarded $2$ trophies. This continues until you reach Question $5$, which will earn you $5$ trophies if you get it right. 3. From the $6^{}\text{th}$ question onwards, every correct answer will earn you one fewer trophy (e.g. Question $6$ correct $=$ $4$ trophies). Sophia answered all $9$ questions correctly. Using the Golden Pyramid Method, how many trophies will Sophia get in total?

46c88bd515d4485ea196f2cb3df07861

1

short_answer

There were $$290$$ boys at a carnival. There were $$80$$ more boys than girls. What percentage of the children at the carnival were boys?

9f8ac2e29e8241a1b702cf02e3cc8591

1

short_answer

A boy ate $$100$$ cookies in five days. Each day he ate $$6$$ more than the day before. How many cookies did he eat on the first day?