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english_AAAI_Math

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608176c2f8294c308bc2eb16e490831d

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short_answer

Joann has $3$ coins, Sana has $6$ coins, and Nancy has $8$ coins. How many coins do they have in total?

43898b2ed2594f919d1a1e91a9899bc8

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short_answer

Lucas and his mother depart from two places $$20$$ miles apart at the same time walking towards each other. The ratio of the speeds of Lucas to his mother is $3:5$. After a while, the distance between them is $$4$$ miles. How far does Lucas walk when they are $$4$$ miles apart?

9554ef69c62a485194537701b7cbafe1

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short_answer

What is the sum of the first 30 numbers of the following pattern? 50, 49, 48, 47, 46 $\cdots $

59500938d9aa429c963148ba7e8054ea

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short_answer

Sandy needs $$12$$ pizzas to feed $$30$$ people. How many pizzas will she need to feed $$35$$ people?

c28579adfb0e4c66af894392fda2aa03

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short_answer

$16$ basketball teams engaged in a single-round knockout competition. Winners between the $8$ pairs of teams will advance to the next round and compete again. Thereafter, the $4$ victorious teams continue to compete till there is only $1$ victor. How many rounds of competitions were there?

16eb3c5479c84e7488205bd06c552370

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short_answer

Marion earns twice the amount Julie earns. Ethan earns $5$ times the amount Julie earns. If the difference in pay between Marion and Ethan is $$$168$$, how much do the three of them earn altogether?

501a0a55ecd341dc996261f472d570c8

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short_answer

What number goes in the box? $\dfrac{\boxed{ \overset{ }{ }}}{5}$~of~$35 =21$.

496c9d2a7f38418389c85a6060857948

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short_answer

The kindergarten gave both the big and small class some fruits. Each student from the big class received $$2$$ apples and $$3$$ oranges. Each student from the small class received $$2$$ apples and $$2$$ oranges. In total, the kindergarten gave out $$48$$ apples and $$55$$ oranges. How many students are there in the small class?

98fccede682543abb0a7e6ce6c0a6e69

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short_answer

How many of the natural numbers from $$1$$ to $$2016$$ are perfect squares after multiplied by $$72$$?

aebe8c69595b46bf9a87e30c9324afe4

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short_answer

A magician has $$69$$ wands and cards altogether. The number of wands is $$17$$ more than the number of cards. How many wands does the magician have?

3fc92a68dae34f66b6cd792e86640204

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short_answer

If $$1$$ lollipop costs $$5$$p, how much will $$10$$ lollipops cost?

f44c4462b0f64bab846629402568bf16

1

short_answer

Efron is $$30$$ years younger than Danny. The ratio of Danny\textquotesingle s age to Efron\textquotesingle s age now is $$8:3$$. In how many years\textquotesingle{} time will the ratio of Danny\textquotesingle s age to Efron\textquotesingle s age be $$5:3$$?

71f696cfd5a84b80996ceb9957f484a3

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short_answer

At a party all the children were put into groups of $$5$$ to play a game. No one had to sit out. For another game they were put into groups of $$7$$. One child had to sit out. For the next game they were put into groups of $$8$$. One child had to sit out. How many children were at the party at least?

665b5255c92349eb9ddeb5d93d37b49d

1

short_answer

Find the percent of change from $160$ to $40$.

29030dd68348449a8312e00b2527cb9e

1

short_answer

$$427 \times 100$$

70c940fee10b465a84d7c757aa018a9e

1

short_answer

Tiara can make $100$ cookies using $40$ grams of butter. How many grams of butter does Tiara need to make $150$ cookies?

830a6979358f4071bfa17925dbf71666

1

short_answer

Five pupils took a maths test. Here are their results: $27, 28, 26, 24, 20$ Calculate the mean mark

6718d58202814857b7fb4876e51e86b3

1

short_answer

Johnson writes a sequence from $$1$$ to $$404$$. How many digit "$$4$$"s are there in total?

418a9a3d03a942a4a2c621e1a1688350

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short_answer

Sophie has $13$ T-shirts, and she has $5$ more T-shirts than her sister. How many T-shirts does her sister have?

46ab1acc8aff4e4fa30eb837311aab05

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short_answer

There are $$15$$ colours of pencils, $$20$$ colours of rulers and $$10$$ colours of pens in the stationery shop. If you can choose any two items (one colour from each item), in how many different ways can you choose them?

4700822a4e3e41d3bd6cf4dda57b3084

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short_answer

The $$2018$$ Russia World Cup is the $$21^{\rm st}$$ FIFA World Cup. There are $$32$$ teams competing for the championship. The $$2018$$ Russia World Cup includes two stages, the group stage and the knockout round. At the group stage, the $$32$$ teams are divided into $$8$$ groups and a single round-robin tournament is run within each group of $$4$$ teams. After the group stage, two winning teams are picked from each group and join the knockout round, where the losing team is eliminate after each match. The top $8$, top $4$, top $2$, the winner, the runner-up, the third place and the fourth place are produced. How many games are played throughout the $$2018$$ Russia World Cup?

eaa3534db535408eb1b161cbafa4af7a

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short_answer

Ann thinks of a 3-digit number and notices that the first digit is one more than twice than the second digit, and the sum of numbers in all digit should be larger than 9 and smaller than 14. How many different numbers could she have thought of?

d9a90dd46e1b4f7b8ea8abbd0d0cda50

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short_answer

The total cost of a tennis ball and racket is £$30$. The tennis racket costs £$28$ more than the tennis ball. How much does the ball cost?

7f68a155e73c4da8811ddfc74a0de5bb

1

short_answer

$\dfrac{ -6}{6}=6$

90d54cf3746b403a998b30644e14ed6c

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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.

67d603b406954580bb312d236cca3026

0

short_answer

$$n$$ football teams play each other once. The total number of matches is $$15$$. Find the value of $$n$$.

0c56c61f84034ba086b7ccfeb89c1dd8

1

short_answer

How many factors does $$224$$ have?

c7dac16768af42858204c39c3827fc02

1

short_answer

A number minus $$30 \%$$ of itself is 210, what is this number

49cdd6b806674d4aaf0cef8780f8f8cb

1

short_answer

There are $$15$$ colours for pencils, $$20$$ colours for rulers and $$10$$ colours for pens in the stationery shop. If you can choose any three items (one colour from each item), in how many different ways can you choose them?

f55b7420a598495d8cb743d46cebb8de

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short_answer

There are $10$ questions in a science competition. A person gets six points for a correct answer and loses two points otherwise (getting a wrong answer or skipping a question). Eddie answered all questions and got $44$ points. How many questions did Eddie answer correctly?

f7d16bba0eef40749220aeee30f11c1b

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short_answer

$$2$$ pairs of shorts and $$3$$ T-shirts cost ￡$$26$$. $$2$$ such pairs of shorts and $$5$$ such T-shirts cost ￡$$40$$. How much does a T-shirt cost?

129b35bd2e4c40649186f5cfd5e08f55

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short_answer

In an arts and crafts class, the students cut out some triangles, quadrilaterals and pentagons. All the shapes combined have $$394$$ sides. Among them, there are $$2$$ pentagons and the number of quadrilaterals is $$82$$ more than that of triangles. How many quadrilaterals are there?

661c4eed4a32448abe382838199f26bb

1

short_answer

Calculate: $$599999+59999+5999+599+59+5=$$~\uline{~~~~~~~~~~}~.

32b965ddd9334985a59c4e74953701c5

1

short_answer

How many two-digits are there in which its tens place is larger than ones place by $3$.

39341763d576440d9bf2d603ec9d0a28

1

short_answer

A sequence of numbers which go up (or down) by a fixed amount each time is called an arithmetic progression (AP). For example, the sequence $1^{}\text{st}$term $= 5.8$, $2^{}\text{nd}$ term $= 6.0$, $3^{}\text{rd}$ term $= 6.2$, $4^{}\text{th}$term $= 6.4$ is an AP because the terms go up by $0.2$ every time. If the $1^{}\text{st}$ term of an AP is $0.3$ and the $2^{}\text{nd}$ term is $0.8$, find the $3^{}\text{rd}$ term.

0568330ddd524498892da0859a5ec187

1

short_answer

Rachel and Alice have some sweets. If Rachel gives Alice $10$ pieces of sweet, then they would have the same number of sweets. However, if they both eat $8$ pieces of sweet, Rachel has $3$ times as many pieces of sweet left over as Alice. How many pieces of sweet did they have in total originally?

73f073ef77d3485a9e2db22b74b4d99c

1

short_answer

Four lamp posts are in a straight line. The distance from each post to the next is $$25\text{m}$$. What is the distance from the first post to the last?

842908b1fc5d4a659cac34d9f6c84d6b

2

short_answer

There are $$150$$ students in the level and they are divided into teams of three. It is found that: (i) There are $$15$$ teams with only $$1$$ boy. (ii) There are $$27$$ teams with two or more boys. (iⅲ) The number of all$$-$$boy teams is twice the number of all$$-$$girl teams. How many girls are there in the level?

184cf0c663e945deb8bdb09f3954a920

1

short_answer

In the three digit number below the last two digits have been hidden $6**$ The three digit number is divisble by $$3$$, $$5$$ and $$7$$. What is the number? $$6$$~\uline{~~~~~~~~~~}~

cfc59e7dc0614196bfb7795914dacdef

1

short_answer

Calculate the following expression quickly and show your working! $$63-(55-27)$$.

ae1a09d2d17649718463491e636b12d1

1

short_answer

Amanda scores $36$ out of $40$ in a test. What percentage is this ?

00c7ec21843b40aba2d39a75810ffc85

2

short_answer

If Ben cycles from Town $$A$$ to Town $$B$$ at a speed of $$10\rm km/h$$, he will arrive at $$10$$ am. If he travels at $$15\rm km/h$$, he will arrive at $$8$$ am. At what speed must he cycle to arrive at $$9$$ am?

bab688e90abc4ad7a664334dbd742c1c

1

short_answer

A fruit store bought a new batch of fruits, apples, peaches and pears in a total of $$73$$ kg. The apples weighed 5 kg more than 6 times the weight of the pears, and the peaches weighed 2 kg less than 3 times the weight of the pears. How many kilograms of apples were purchased for the fruit store?

519312ec2beb41659919be97138e6ba6

1

short_answer

Sandy multiplies $$2\times5\times7\times2\times5\times7\times2\times5$$ and writes the product as a whole number. What is the sum of the digits of this number?

5bd7e5a5661d47afb0bef048489bb3fe

1

short_answer

Calculate $$61-34 $$ in the base $$7$$ number system.

c5e1085504df4fe38872ff3a46620cd6

1

short_answer

1 dog weighs as much as 8 rabbits. 1 rabbits weigh as much as 2 chickens. How many chickens weigh as much as 1 dog?

233efeea19724a82bb0152f79a9c9ee1

1

short_answer

Granny tells Dilly that her glove drawer contains $$1$$ left-hand blue glove, $$2$$ left-hand green gloves, $$3$$ right-hand blue gloves, and $$4$$ right-hand green gloves, and asks her to bring a pair of gloves from the drawer. Unfortunately Dilly cannot tell the difference between left-hand and right-hand gloves, but, thankfully, can identify blue and green. What is the smallest number of gloves that Dilly should bring, in order to be sure that these include a matching pair? Circle the correct answer. $$10$$~ ~ ~ $$8$$~ ~ ~ $$6$$~ ~ ~ $$4$$~ ~ ~ $$2$$

00d539f1b4db48d3b3494c0f120062fd

1

short_answer

A teacher is going to divide some candies among $$5$$ students, and each student will get $$12$$ candies. Now $$1$$ more student joins the group. How many candies will each student get after the candies are redivided?

80aa447385fb495cb5bf06d8c7b0fdda

1

short_answer

Raj is $138 \text{cm}$~tall and David is $170 \text{cm}$~tall. Jacob is half way between Raj's and David's height. Work out Jacob's height.

dec3fb034aea47b1b73c5397fa7a6777

1

short_answer

Jason has some baseball cards from the $$1920$$s. If he divides the number of cards he has by $$4$$, then he will have $$3$$ remaining cards; if he divides the number of cards he has by $$5$$, he will have $$4$$ remaining cards; if he divides the number of cards he has by $$7$$, he will have $$6$$ remaining cards. How many cards does Jason have at least?

815b73a9e29e4090bfd993eec9cfa5f8

1

short_answer

Lisa bought a bike for $1,20$ dollars. The bike depreciates at the rate of $4 \%$ per year. Find the value of her bike after $5$ years. ($0.96^{5} \approx 0.8154$, $1.04^{5} \approx 1.2167$)

453da806d0d44938b0462fc02a292532

2

short_answer

Students from Think-School are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of boys, and the adjacent inner layer is full of girls, then boys, then girls and so on until the innermost layer is reached. If there are $52$ more boys than girls in total, find the total number of students.

db9048b0a36740abaf853e98897fbb20

1

short_answer

Eugene had $$3$$ times as many pins as Yuna. After Yuna bought $$76$$ pins, Yuna had $$\frac{7}{9}$$ as many pins as Eugene. How many pins did Eugene have?

11200de7f462445fbdc06bbefca57a99

1

short_answer

In how many ways can the letters in the word \textquotesingle REVISE\textquotesingle{} be arranged?

4873bec7d2b148f0b1a8ce80aa0a60fa

1

short_answer

A six-digit number $$\overline{12345A}$$ is divisible by $$9$$. What is the remainder of this six-digit number when divided by $$4$$?

31d6392f86454fcfabd63010d5f7ac45

1

short_answer

I am thinking of a number. It has a $$5$$ in the ones column, $$2$$ in the hundreds column and a $$8$$ in the tens column. Write down this number.

c347c951d6764ecabf96c472825de32c

0

short_answer

The normal price of a TV was £$480$ and then reduced by $35 \%$ in a sale. Work out the sale price of the TV.

b381663c286a41b4b2c212c8d9fa625f

1

short_answer

$7.257 - 3.47$

1edfbfb983cc4026861711aed39ec50b

2

short_answer

Kelly and Dan are playing a game. Here are the rules： 1. There are $$11$$ matches placed in a row. 2. The players take turns removing either $1$ or $2$ matches each turn. 3. Whoever picks the last match wins the game. Kelly starts first and is followed by Dan. To ensure her victory, how many matches must Kelly take away in the first turn?

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1

short_answer

In Bud\textquotesingle s garden, $$\dfrac{1}{2}$$ of the flowers are red. $$\dfrac{4}{7}$$ of the remaining flowers are pink. There are $$6$$ more red flowers than pink flowers. How many flowers are there in the garden?

d7960525f20d4a85b2d07f16b77a89de

1

short_answer

Calculate:$$\frac{5\dfrac{1}{7}+3\dfrac{3}{11}+1\dfrac{13}{23}}{3\dfrac{3}{7}+2\dfrac{2}{11}+1\dfrac{1}{23}}$$．

c79974cfe3544139952b7aa20868fe35

1

short_answer

Calculate: $$1^{2}+2^{2}+3^{2}+4^{2}+\cdots \cdots +15^{2}$$.

fcdca3fe5e6e44a3aaa6b8fc55320938

1

short_answer

Three kids stand in a row to take group photos. How many different ways are there to arrange them?

3e876b88a82f4fabb94444319efac888

0

short_answer

Fill in the box. $$4\times\square-3=65$$

354d850fc3c644989668ea964029af35

1

short_answer

Mike has $$27$$ vehicles to service at his garage. Some are cars ($$4$$ wheels) and the rest are motorcycles ($$2$$ wheels). Altogether, the $$27$$ vehicles have $$78$$ wheels. How many cars does Mike have to service?~\uline{~~~~~~~~~~}~

06bf4f7c67004f1dbe9f03b5dc14516d

1

short_answer

At first, Jason had $20$ stickers and Nicole had more stickers than him. After Nicole gave Jason $$18$$ stickers, Jason had $$5$$ fewer stickers than Nicole. How many stamps did Nicole have in the beginning?

9bf9b1c2a24e4de3a5ed1f6932581844

2

short_answer

A cuboid was made using clay. Candy made some changes to the size of the cuboid. She increased the length by $$10 \%$$ and reduced the breadth to $$\frac{4}{5}$$ of the original breadth. The ratio of the new height to the original height is $$11:10$$. Express the new volume of the cuboid as a percentage of its original volume.

8d09ac1d8970471dbd6ed0727980bd24

1

short_answer

There are enough $$2$$ grams and $$3$$ grams of weights. How many different ways to make $$77$$ grams?

2d748e0d6f544f23b0cf14359ab45b8f

1

short_answer

There are some children at a sports meet. $$176$$ of them are boys. There are $$50$$ fewer girls than boys. How many students are there altogether? There are~\uline{~~~~~~~~~~}~students altogether.

3825adc1e7f941ebb2ac15ca5828613b

1

short_answer

During a $5$-km race, $9$ marshals are spread out in equal intervals along the route from the starting line to the finishing line. What is the distance between $2$ marshals? Give your answer in metres.

33681430650f48419421a99318bdaf3d

1

short_answer

Bob bikes from his home to a cinema. He bikes at a speed of $180$ meters per minute for $6$ minutes. Then he feels tired and bikes at a speed of $120$ meters per minute for $8$ minutes and he arrives at the cinema. What is the distance between Bob\textquotesingle s home and the cinema in meters?

c471960bec8946e69cab7ac7cb6411c3

2

short_answer

A square wall is tiled with $400$ small square tiles of two colours, red and green. The outermost layer of the wall is tiled with red tiles, the second layer from the outside is tiled with green tiles, the third layer is tiled with red tiles again, and the fourth layer is tiled with green tiles again, and so on. Which colour of the tile is more on this wall? How many more tiles are there of the dominant colour?

52895a5f9c584889b60e514eea4cb012

1

short_answer

When Teacher Jay recorded the scores of $7$ pupils, he made a mistake by writing one of the scores as $81$ marks instead of $18$ marks. As a result, Teacher Jay calculated the average score as $74$ marks. What should be correct average score for these $7$ pupils?~\uline{~~~~~~~~~~}~marks

e4b6fc33fb6044dbbf98541fd73229a3

1

short_answer

Lily starts a savings account with $$6,000$$ at a bank. The interest rate is calculated at $$3 \%$$ on a yearly basis. How much interest will she earn in his savings account at the end of the second year?

27def3f9c6524488aff45fe308ba3df3

1

short_answer

It takes me ten minutes to paint a picture. How many pictures could I paint in one hour and twenty minutes?

0f41145869544b529481d63e5b99081f

1

short_answer

Express $$1\dfrac{4}{7}$$ as a decimal correct to $$1$$ decimal place.

c0156725df024018aed39df49f106ef3

2

short_answer

In $$2014$$, Vastco sold $$68 \%$$ more widgets than Megacorp, but in $$2015$$, Vastco only sold $$44 \%$$ more widgets than Megacorp. Between $$2014$$ and $$2015$$, Vastco\textquotesingle s widget sales rose by $$32 \%$$. By what percentage did Megacorp\textquotesingle s widget sales rise between $$2014$$ and $$2015$$?

4d04c9aca7b14fc0b67361f6a0e0bb64

1

short_answer

Given that $\frac37=\dot{4}2857\dot{1}$. Find the $69\text{th}$ digit after the decimal point in the decimal form of $\frac{3}{7}$.

a48c37c796244f69b5dd70e1b55e15d4

1

short_answer

Ken bought a batch of goods that he hoped to earn a $$50 \%$$ profit after selling it. On the first day, he sold $$70 \%$$ of his goods at a profit of $$50 \%$$. On the second day, he sold all the remaining goods at a discount. If the total profit was $$82 \%$$ of the planned profit, what would be the discount rate on the second day?

b5d689e03b7a4370a956fabc41aa5767

1

short_answer

Dylan has $300$ grams of a solution with a salt concentration of $35 \%$ and Daisy has $200$ grams of a solution with a salt concentration of $50 \%$. They mixed the solutions together. What is the concentration of the resulting salt solution?

53974104b6a9479d95d1207ebbf1bf13

1

short_answer

Samantha has $$y$$ sweets. She gives half of them to her friend. Write an expression in terms of $$y$$ for the number of sweets Samantha has left now. ~\uline{~~~~~~~~~~}~

5b136def7b58491b81995c72b9ad067a

1

short_answer

In a family with two sons and two daughters, the sum of the children\textquotesingle s ages is 55. The two sons were born three years apart, and the two daughters were born two years apart. The younger son is twice the age of the older daughter. How old is the youngest child?

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1

short_answer

Jen has $$438$$ beads. Lily has $$195$$ more beads than Jen. How many beads do they have altogether?

4ed24c6d67bb4a53beeb3f3413937be2

1

short_answer

The supermarket has stated that $$4$$ empty bottles of tea may be exchanged for $$1$$ new bottle. Customers are only allowed to borrow $1$ empty bottle. If Phoebe~bought $$48$$ bottles of tea, how many bottles of tea can she get in total?

7519f32e6df34b519be6057181658e4e

1

short_answer

Johnny wrote a long number sequence: $1, 2, 3, 4, 5,$ $$\cdots $$ $111, 112, 113$ on a piece of paper. He tries to find the number of digits he wrote by doing the following: $$9\times 1=9$$ $$99-10=89$$ $$89\times 2=178$$ $$113-100=13$$ $$13\times 3=39$$ $9+178+39=226$ Is he correct? If not, write down the correct calculations.

c34210e64f26416da03013fc4f6aef91

1

short_answer

During an amorous struggle, the lady\textquotesingle s pearls broke. ~Half of the pearls fell onto the floor; a fourth rolled under a chair; a sixth fell into her lap; and three pearls remained on the strand. ~How many were there originally on the strand?

d7ccf6eb76b340b0a3ccd8caf9bcbfda

1

short_answer

If 3 workers take 3 days to build a wall, how many days will 1 worker take to build the same wall?

7f30a1e297f84571b00d9e89bbef9c69

1

short_answer

Work out $$124-76$$ Answer~\uline{~~~~~~~~~~}~

8bbc403c2d8f461cbbb29a4b072980aa

1

short_answer

Work out $548-45+23-107$

698be5f0089b4737bfda189fa3acbd25

2

short_answer

There are 3 entrances to a amusement park. Len, Joe, Angle, and Jack are going to enter the park to play. 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?

067a0a4f635849c888d2b3821c72eb84

2

short_answer

There are 84 black rabbits, white rabbits and grey rabbits on the grassland. There are 14 more black rabbits and 2 fewer grey rabbits than white rabbits. How many white rabbits are there?

bc13cb301fa84f25ab114f928effbff4

1

short_answer

John and his brother have a total of $$246$$ erasers. John has $$32$$ more erasers than his brother. How many erasers does his brother have?

477830e358774ebc992553d65daa5aed

1

short_answer

Which number between $$60$$ and $$80$$ is a multiple of both $$3$$ and $$8$$?

0ab634c3b8454930935d8d7eeae75287

1

short_answer

Peter delivers $$100$$ glasses for a department store. He gets $$$1$$ for delivering a glass safely and pays $$$1$$ if he breaks one. If Peter can make $$$92$$ after delivering all glasses, he broke~\uline{~~~~~~~~~~}~glasses along the way.

55d1c0e624b04989949990c12957fded

1

short_answer

There were a certain number of teams participating in a round-robin competition. A total of $45$ rounds were played between these teams. How many teams were there?

0205b2b75de94213a048023d3039d864

0

short_answer

Mayank thinks of a number. He doubles it and then adds $$4$$ and gets the answer $$40$$. What was Mayank\textquotesingle s number? ANSWER~\uline{~~~~~~~~~~}~

64205cfac54a493583dddaf95648be2c

1

short_answer

Students in Class $$2$$ in Think Primary School go boating. If the number of boats reduce $$1$$, then each boat will take exactly $$9$$ people; if the number of boats add $$1$$, then each boat will take exactly $$6$$ people. How many people are there in the whole class?

e17967bd47d74eefa35caffacc4df30e

1

short_answer

Try and calculate: $$17-8\div (-2)+4\times (-3) = $$

5fa94c02c76e4dfcaadc3cece8a6370b

1

short_answer

If $$7$$ bananas cost $$98$$p, how much change would I get from £$$12$$ if I buy $$15$$ bananas?~ £~\uline{~~~~~~~~~~}~

32ddbe1c6e04445387ccdb65a7acb10d

1

short_answer

The sum of three consecutive odd integers is $57$. Find the smallest among them.