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english_AAAI_Math

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8ac3b604d92f4e359866a78b06048dfd

1

short_answer

$2570 \div 10000 =$

a5cd848f2ed5457aa4de5ac1376a568b

1

short_answer

After taking the photo, Eddie goes to play card games. He uses the six digits $$0$$, $$1$$, $$3$$, $$6$$, $$8$$, $$9$$ to make some numbers (each digit can only be used once). How many different four-digit even numbers can be made?

cecaf4be2c7445afbef79df483f09fe6

1

short_answer

Tobby attended a Nasional Maths Olympaid (NMO). Tobby answered all $50$ questions. For each correct answer, Tobby will get $4$ marks. However, for each wrong answer, Tobby will deduct $1$ mark. If Tobby scored $110$ marks in total, how many questions did Tobby answer correctly?

b8eda4ea253243a6bc4591a500731f57

2

short_answer

Daniel bakes $420$ cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. $\dfrac{2}{7}$~of the cakes are vanilla cakes. $35 \%$ of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is $4:5$ Work out the number of lemon cakes Daniel bakes.

8a1fa4f39e19492fb5019958052fc68b

1

short_answer

How many three-digit integers less than $$1000$$ have exactly two different digits in their representation (for example, $$232$$, or $$466$$)?

ae83fe9ef869429482fffd4b5f259176

1

short_answer

What is the smallest positive whole number that is exactly divisible by $$2$$, $$3$$, $$4$$, $$5$$ and $$6$$?

0e57c290f8c748f5a8c86e2a3bf96219

1

short_answer

Lily and her sister Judy are sharing their story books. If Lily sends~~books to Judy, both of them will get the same amount. How many more books did Lily have than Judy at the beginning?

a8d1ad2b149e49638120daa2fb4f7e50

1

short_answer

Cici,~Lily, and~April~are passing a Football to each other. Starting from~Lily, she passes the ball to the others. How many different passing ways are there if there are two passes? $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $

37eda3d2a7f44391ba89ab6bf862df70

1

short_answer

Avril\textquotesingle s average score on the first four assignments is $89$. Given that she got $94$ on the fifth assignment, what is Avril\textquotesingle s average score on these five assignments?

0cc3cd452b624c9498a48d64322243b8

1

short_answer

Five friends raise £$$400$$ for their favourite charity. Alan collects £$$74$$ and Bilal raises £$$86$$. Chloe collects twice as much as David who raises three times as much as Emily. How much did Chloe collect?

1f9f29d4bf5649379a9cfd3c9d5fcb04

1

short_answer

On the planet Zog the wibbles and the wobbles are having their annual conference. A wibble has $$6$$ arms and a wobble has $$5$$ arms. There are $$11$$ wibbles and a total of $$81$$ arms at the conference. How many wobbles are there? ANSWER~\uline{~~~~~~~~~~}~

59de4a78f41748248348566692dedf92

1

short_answer

$$a$$ and $$b$$ are prime numbers and $$7a+9b=179$$. Work out $$a+b$$.

0833ee006bff4737af597938f80a6679

2

short_answer

Use the clues below to find the number being described. * The number is a $3$-digit number. * the sum of its digit is $15$. * The digit in the tens place is twice the digit in the hundreds place. * The digit in the hundreds place is $1$ more than the digit in its ones place.

c214cce759fc4604b8bd4aac04f2f467

1

short_answer

There are $$18$$ boys in the amusement park, now the amount of the girls is exactly twice the amount of the boys. So how many girls are there in the amusement park?

1933faa02cf240199d07d7e6c69c3b86

1

short_answer

Find $15 \%$ of £$420$.

84bcfd2527634a87ba73c95b75479cb4

1

short_answer

How many seconds are there in $$\frac14$$ of $$\frac16$$ of $$\frac18$$ of 32 minutes?

ef69916912d64c749a2c5414ca933b35

1

short_answer

When Maverick started cycling from his home, Kelvin was $$10$$ $$\rm km$$ ahead. Maverick\textquotesingle s cycling speed was $$15$$ $$\rm {km/h}$$ and Kelvin\textquotesingle s cycling speed was $$10$$ $$\rm {km/h}$$. They went in the same direction and did not change their speeds throughout. Maverick was certain that he took only $$24\rm min$$ to catch up with Kelvin, but Kelvin was certain that Maverick took longer. Who was correct? If Kelvin was correct, how long did Maverick take to catch up to Kelvin?

e7d9f592443542ef9f580c770df2ce1a

1

short_answer

Given that $$a \#b=a+b- \frac{ab}{910}$$, evaluate $$2016 \#2015 \#2014 \#2013\cdots \#3 \#2 \#1$$?

939569b8df414ce2859c11258d03bfc9

1

short_answer

I think of a number, multiply it by $9$ then add $5$ and end up with $113$. What number did I think of?

cc2d217fd9294779a151ac26e6edcda8

1

short_answer

The sum of two numbers is $$80$$. The difference of the two numbers is $$40$$. Find the smaller number.

7d33980148da4ca2a7359bd7f16eac27

1

short_answer

There are $$3$$ boys and $$4$$ girls in a choir. How many ways are there to pick $$1$$ boy and $$1$$ girl as the two lead singers? Pip\textquotesingle s Answer: There are $$3$$ ways to pick a boy and $$4$$ ways to pick a girl, so there are $$3+4=7$$ ways in total. $ $ Can you find Pip\textquotesingle s mistake?

51add92ad60b41bd8d0e28c5401b2bae

1

short_answer

Six identical erasers are distributed to three kids and everyone gets at least one. How many different ways can the erasers be distributed?

4b1aed0b9dfb4774968b86622359a2d5

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?

35a2e016d6e741289d85bfd98cae8549

1

short_answer

$$41$$ plum trees are planted along a stretch of road with trees planted at opposite ends of the road. The distance between each tree is $$4\text{m}$$. On the opposite side of the road, pine trees are planted at regular intervals of $$5\text{m}$$, with trees planted at opposite ends of the road. How many pine trees are there on this side of the road?

19e648dd36f74957bbf3ab2e377bf993

1

short_answer

On the way to school, Pip heard two men talking about their ages. One said, "When I was your age, you were only $$4$$ years old ." The other said, "When I am your age, you will be $$61$$. The younger of the two of them is now~\uline{~~~~~~~~~~}~years old.

cd978bde655c4eeab7c4cd5b3e79f234

1

short_answer

Calculate: $1 + 2 + 3 + 4 + 5 + 6 =$~\uline{~~~~~~~~~~}~

960af76a998542a6bf58bd1a0539e775

2

short_answer

Ten people can build a bridge in $9$ hours. How many people are needed to build the bridge in $3$ hours? (Assume that all people build at the same rate)

c7ea8a8261394a278c052e1d963f6832

2

short_answer

Bud had some money. She spent $$\frac{1}{3}$$ of it on a book and $$\frac{2}{5}$$ of remaining money on a bag. The bag cost £$$120$$. How much money did she have at first?

9ccb508c829548d7abb565af2518a286

1

short_answer

Mr Lim fill $$27$$ ℓ\textbf{~}of petrol in his motorcycle in week $$1$$, $$25$$ ℓ\textbf{~}in week $$2$$ and $$30$$ ℓ\textbf{~}in week $$3$$. How many litres of petrol did he fill in his motorcycle altogether? He fill in~\uline{~~~~~~~~~~}~ℓ ~of petrol in his motorcycle altogether.

e9c6ea8b3c7942a7b584df1117ea9972

1

short_answer

Candy and Nancy are good friends. Candy weighs $30$ kg, and she weighs $4$ more kilograms than Nancy. How much does Nancy weigh?

b95ce34c4904482cb93b8929a241db81

1

short_answer

Helen sold watermelons at the farmer\textquotesingle s market last weekend. She sold $\dfrac{1}{3}$~of her total the first day, and 60\% of the remaining watermelons on the second day. After both days, she had $48$ watermelons left. How many watermelons did Helen start with?

28e8d3b2c27742f3ace084be157d24aa

1

short_answer

Calculate: $$5^{2}+6^{2}+7^{2}+\cdots +15^{2}$$.

6d4657e0a9824b57b531a1b2c5afa9eb

1

short_answer

Select three distinct positive integers from $1$ to $8$ such that the sum is $13$. How many ways can you select the three integers?

ecab41bccb924851abd1f915401a0eda

1

short_answer

Jessica\textquotesingle{} s and Judy\textquotesingle{} s desks are adjacent to each other in a column. Jessica sits in front of Judy. Given that there are $$5$$ desks in front of Jessica\textquotesingle{} s and $$7$$ behind Judy\textquotesingle{} s, how many desks are there in the column?

d0d1460243fb491a970711148da8bdbd

2

short_answer

Calculate: $$125\times8\times49$$

afeb51e7b2d34fa88856173d28928c5d

2

short_answer

A school has 152 students．$$If$$ we remove $$\frac{1}{11}$$ of boy and $$5$$ girls, then number of boys and girls will become the same. Then original numebr of boys is:~\uline{~~~~~~~~~~}~

19b4042ba2f8433493147e1a596bf779

1

short_answer

Calculate: $$9 -- 8 + 7 -- 6 + 5 -- 4 + 3 -- 2 + 1$$.

2b2fae5ea687426e9dedde667bf69e55

1

short_answer

Solve the following equations: $$75 \%x-5=2.5$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$

3f2537244e194218846046e4e72a93db

1

short_answer

Brian starts with $$1000$$ and subtracts $$11$$ each time. The first four numbers in his sequence are: $$1000$$,~ ~ ~ ~ ~ $$989$$,~ ~ ~ ~ ~$$978$$,~ ~ ~ ~ ~$$967$$ If he continues in this way, what will be the first negative number in his sequence? Answer:~\uline{~~~~~~~~~~}~

b4ef0f615e074408b4de5de14d0436b3

1

short_answer

What are the last two digits of $888\times999$?

5a7e2d52cd5643888c27fcb6f06badc1

1

short_answer

$$0.126$$ is halfway between two numbers. One of the numbers is $$0.11$$. What is the other number? ANSWER~\uline{~~~~~~~~~~}~

1e5a18b4b8724826840fb986aacf25d5

1

short_answer

Sarah won a large jar of sweets in a Christmas raffle. If there are $486$ sweets in the jar and she shares them equally with her $17$ classmates, how many do they each get?

b09251df1d4e43b491aaaabfee97a699

1

short_answer

In a box of sweets there are $7$ toffees for every $12$ chocolates. If there are $72$ chocolates how many toffees are there?

d6aec573cb244941b3aefa06caa06e7a

1

short_answer

A number between $$28$$ and $$40$$ is a multiple of $$4$$ and one of its factors is $$9$$. What is the number?

7a3a4893dd26417fb58c5b88ebbabd36

2

short_answer

Calculate: $$21+27+19-17+22+18=$$

e486c9dd773145848b5f37d0c04bbf06

1

short_answer

The fruit market bought $$24$$ cases of mangoes and $$19$$ cases of lychees from the wholesale market at a cost of $$ $2826$$. Given that $$ $56$$ per box of mangoes, how much per box of litchi?

1d935725dd9f4e3fa1aed495190dc424

1

short_answer

Freda has a large bag of coins, containing lots of $$1$$p, $$2$$p and $$5$$p coins. How many different totals can she make using exactly $$3$$ coins?

0195214807ca4ebb8735a37f3bd0f396

1

short_answer

Fill in the missing digits in this multiplication. What is the sum of $A+B+C$?~\uline{~~~~~~~~~~}~

c42ce6475895428ab114a1af2385cd70

1

short_answer

Think Academy organized a single round-robin football tournament and six teams participated in it. How many games were played?

66c85837504345c58750cdb4cd50976c

1

short_answer

James deposits＄$$10,000$$ in the bank. The interest rate is calculated at $$5 \%$$ on a yearly basis. How much will he get at the end of the third year?

d3475d6b771245278e01398bd5f12797

1

short_answer

$$24x-5\left( 3+x \right)=4$$．x=．

f8128d9e28164d24aec427b96c538dec

1

short_answer

Add together the following, giving your answer as a DECIMAL. $$65 \%$$, $$0.507$$ and $$\frac{1}{4}$$.

7e4fe708d5fe47a8b3e7945e164570cb

1

short_answer

How many different three-digit numbers can be formed with four cards of $$1$$、$$1$$、$$2$$、$$2$$~ ?

6db54abfbef4439db3f32fb63eccef7f

3

short_answer

What is the value of $P+Q+R$ in the following multiplication?

aaa5c754fa8b4afba08b7370dcadfd5c

1

short_answer

$$50$$ children want to purchase the special football club of their school. The shirt costs £$$10$$, or £$$15$$ if you wish to have your name put onto the back. Together the children pay £$$555$$. How many of the children paid to have their name put onto the shirts?

32cdb025d7b6487e8f23c740bc73c7a7

1

short_answer

One day morning, Susan goes out to exercise. At $$\rm 7:30$$ a.m., Susan leaves home and jogs at a speed of $$5$$ miles per hour. At $$\rm 8:30 $$ a.m., Susan feels a little bit tired and walks at a speed of $$3$$ miles per hour. At $$\rm 10:30$$ a.m., Susan finishes her exercise. How many miles does Susan travel in total this morning?

5e7920b1469e44e9b17a7f258f840f18

1

short_answer

The sum of five consecutive whole numbers is $100$. What is the smallest of these five numbers?

181bc921ffe648fdb943b55640a83626

1

short_answer

Ronald was then later asked to determine the value of $q$, given that $\frac{44000}{q}$ is a cube number. Determine the value of $q$.

29d7bb7ee42147cb9da0d2f87542dc6c

2

short_answer

Lucy has 75 oranges. She puts 10 oranges into each of 3 boxes. She puts 5 oranges into each of 7 boxes. How many oranges does Lucy have left?

6e0d33aabe9c4bcab5d514bcef0a008a

2

short_answer

David has 27 balls. He puts 5 balls in each bag and has 2 balls left over. How many bags did David use?

4884fdf18c7a4806a27e23695f55df93

2

short_answer

A deck of $$52$$ cards have four different patterns: hearts, spades, diamonds and clubs. Each has $$13$$ numbers (From $$1$$ to $$13$$) How many cards must you draw so that at least $$3$$ cards have the same number?

4d7449c37dc04e2caef48c2973cae23f

1

short_answer

Eddie, Avril, and James are playing a card game. James draws a card and then tells Eddie the suit of the card (spades, diamonds, hearts, or clubs), and tells Avril the number on the card ($$1-10$$, $${J}$$, $${Q}$$, or $${K}$$). James also tells them that the card is one of the following: Spades: $${A}$$, $${J}$$, $${K}$$; Hearts: $$3$$, $$5$$, $${K}$$; Diamonds: $$2$$, $$7$$, $${J}$$; Clubs: $${A}$$, $$7$$; Eddie says to Avril: ``I still do not know the card. Neither do you.'' Avril says: ``I did not know before you told me this. But now I know for sure! '' Eddie says: ``Well, now you told me that, I know as well.'' What is the card?

68ce89970a8a42d0af6104403b9d3ddf

1

short_answer

$$21$$ trees are to be planted along a road $$800$$ $$\text{m}$$ long at regular intervals. If both ends of the road are planted with trees as well, how far is one tree from another?

23f3e87699854b52b46eb378c40700f3

2

short_answer

Calculate: $32\times125\times49$

febedf25f5b741c99cfb8b948352ac30

1

short_answer

Andy has $149$ notebooks. If he gives his sister $38$ notebooks, they will have the same number of notebooks. Their friend Joey tries to find how many notebooks Andy\textquotesingle s sister has at first using the following steps: $38\div2=19$ $149-19=130$ Andy\textquotesingle s sister has $130$ notebooks at first. Is Joey correct? If not, show the correct working and answer.

de1a1dea86fa48258e157a13cfd72cc0

0

short_answer

Work out the following: $\dfrac{3}{4}$~of $28$.

0aeb025cc8c240e8b251019f1650c9d2

1

short_answer

Two buildings are $$90\textasciitilde\text{m}$$ apart from each other. $$9$$ trees are planted at regular intervals between the two buildings. What is the distance between each tree?

f6face9fc7c7465783d957d20e60eabe

1

short_answer

Ning Ning wrote a list of all the numbers that could be produced by changing one digit of the number $$200$$. How many of the numbers on Ning Ning\textquotesingle s list are prime? \textbf{Explain your answer fully}.

64a0b45c920043ea9de7368f87d76a34

1

short_answer

There are two numbers whose sum is $72$. One number is twice the other. What is the smaller number?

eaee4c5f914f464893c6c617cd8da980

1

short_answer

The mean of five numbers is $5$. Four of the numbers are $3, 4, 6$ and $10$. What is the fifth number?

8b959182183d418eb25cefb9bf8dc219

2

short_answer

Danny and Emily are in a queue and Emily is directly behind Danny. There are $25$ people in front of Emily. Counting from the back of the queue, Danny is the $$14^{\rm th}$$. How many people are there altogether in this queue?

8ddc7b2bdd5b4d1a82dc0c65276359f0

0

short_answer

Emma needs $$12$$ minutes to cut a piece of wood into $$4$$ sections. If her cutting speed remains unchanged, she needs~\uline{~~~~~~~~~~}~minutes to cut the piece of wood $$5$$ times.

d71cc09281d5402dbf1e61d96fc56855

2

short_answer

A teacher asks the class to finish reading a storybook within a number of days. If Vanessa reads $$30$$ pages a day, she will finish reading $$2$$ days later than the given deadline. If she reads $$39$$ pages a day, she will finish reading $$4$$ days ahead of the deadline. In how many days are the students supposed to finish reading the storybook? How many pages has the storybook?

98e96ab2a5464c2f8b55cc5355c56197

1

short_answer

The digit \textquotesingle$$5$$\textquotesingle{} appears $$30$$ times in the page numbers of a book. How many pages does the book have?

967f79ab6d244b729f644537a06bdcc3

1

short_answer

Nine cups of tea cost £$13.23$, find the cost of one cup of tea.

19c7948c5c3b458f98616eed8bb06cfc

1

short_answer

Celeste asked her teacher, ``Ms Tan, how old were you when you entered kindergarten？'' Her teacher replied, ``Solve the following equation to find out！'' $$13-2\left( 2x-3 \right)=5-\left( x-2 \right)$$ Celeste looked at the equation and did the following working. $13 - 4x - 6 = 5 - x - 2$ $7 - 4x = 3 - x$ $7 - 3 = 4x - x $ $4 = 3x$ $x = 4 \div 3$ = $\frac{4}{3}$ Celeste exclaimed "You were $\frac{4}{3}$ years old!" Is Celeste\textquotesingle s answer correct? if not, circle out the error and find the correct answer.

bb066669a1d043539b0f78f992d232f1

0

short_answer

What is the value of $$(10+9+8+7+6)-(5+4+3+2+1)$$?

b603c5461f8548a3b4cec3a87b533133

1

short_answer

$7.298 \div 0.2$

0a9790cb77334c198e6f33340f5f941c

1

short_answer

A worker can finish painting $$2$$ rooms in a day. How many days does it take $$2$$ workers to paint $$4$$ such identical rooms?

317ce9d0b92e4e9b82f5bce5d48051a3

1

short_answer

(UK St Paul's Girls School Sample Paper Section $A$ Question $$16$$) A shop sells apples and oranges. Kate buys $1$ apple and $2$ oranges. She paid $48$p. Jade buys $1$ apple and $1$ orange. She paid $31$p. How much does $1$ orange cost?

7ab2e2f436264488b6a85e26de20ed20

1

short_answer

I am given the same amount of pocket money each week. One week I bought four tennis balls and had $27$p left over. The next week I bought two tennis balls and had £$1.51$ left over. How much pocket money do I get each week?

ef8fc9f97c334d85b494fffa1bd0577b

1

short_answer

Yola can read $30$ pages of a book in~$\dfrac{3}{4}$ of an hour. How many seconds does she take to read each page?

a68fba20646a499593183aa13dfc3f51

1

short_answer

Freya has $$24$$ badges. If she gives~$\dfrac{3}{8}$~of them to her brother, how many does she have left?

a1b6d3dc280e4ab498a45c02841bbb75

2

short_answer

How many of the numbers from $$100$$ to $$999$$ have exactly one zero digit? (2019AMC 28)

29b13d5b92d24153bb5eab0c0a6b79b6

1

short_answer

Jason has thrice as much money as Will. Tom has $$$15$$ less than Will. Given that they have a total of $$$225$$, how much money does Tom have?

b2e74fd3787345abaed2bffc05eda905

3

short_answer

Elias had $$5$$ times as many stickers as Aileen. After Elias gave away $$88$$ stickers and Aileen lost $$8$$ stickers, they had the same number of stickers left. How many stickers did each of them have in the end?

5ed3ede08de4405abf392b2e764a8a3a

1

short_answer

Maths Olympiad 《Problems from Planting Trees-Intervals》 Pr$$1$$\&$$2$$ Question \#$$3$$ Each staircase has $$12$$ steps. How many steps do $$3$$ such staircases have?

163d5569c8794822827aa5f3fb2a9e54

1

short_answer

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

cb7de8383bda423f846c2a0d41099259

1

short_answer

Thomas and Gerald meet up to eat pieces of cheese. Thomas is greedy: for every $$3$$ pieces of cheese Gerald eats, Thomas eats $$5$$. The two of them eat $$104$$ pieces of cheese in total. How many more pieces of cheese did Thomas eat than Gerald? Answer:~\uline{~~~~~~~~~~}~

350b297b009e49fa80ba80c3b2e816be

1

short_answer

Find the sum: 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31

192ed864378f46f0992b02857290262e

1

short_answer

Calculate: $2 + 3 + 4 + 5 + 6 + 7 + 8$ =~\uline{~~~~~~~~~~}~

99153d571f7b47888d63eeb16f4101aa

1

short_answer

$${\rm{73}}0{\rm{ }} \div {\rm{ 1}}000$$

d70de15ac2b64e119755895c7c1775b0

1

short_answer

Tiara can make $25$ cookies using $20$ grams of butter. How many cookies can Tiara make using $48$ grams of butter?

0c86c445fc0a4c6da74c3a666872027f

2

short_answer

$$n$$ is the answer to $$5\times4^{2}$$. $$n=$$?

91e8c0f537a24098854e3e9ad367ef40

1

short_answer

Calculate $$25+37$$ in base $$8$$ number system. Pip\textquotesingle s answer: $$25+37=62$$

ab65eb6366424791bc96225b7748674a

1

short_answer

What is~$\dfrac{8}{11}$ of £$1.54$

7bf99922eaaf4266b6882b0fd9059ea0

1

short_answer

There were $\frac{2}{7}$ as many boys as girls and $\frac{2}{3}$ as many adults as children at the park. Given that there were $1228$ more adults than boys at the park, how many people were at the park?~\uline{~~~~~~~~~~}~

7580babfb6664341b878371c05f2522f

1

short_answer

Work out $$3597\div11$$ Answer:~\uline{~~~~~~~~~~}~

15cc7b6d484d4ffcad21a4bb4923bca1

1

short_answer

Work out $$5987+67+983$$

eb3a8e66576f4d9f9023ccfe7b7b53c5

2

short_answer

A shop purchased some tennis rackets at $$ $150$$ each. It then sold them at $$ $175$$ each. When the shop was left with $$8$$ rackets, the proceeds had covered the initial total cost price plus a profit of $$ $525$$. How many tennis rackets did the shop purchase at first?