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english_AAAI_Math

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1b3d94be63ab433dbec37b999532440f

2

short_answer

There are 5 red flowers, 2 green flowers and 3 white flowers in the store. Each red flower sold at~£2, each green flower sold at £5 and each white flower sold at £10. Find the average selling price per flower.

5260e448b7bd48408f279f75b3bc994b

1

short_answer

There are $$24$$ tricycles and cars in a park in total, a car has $$4$$ wheels and a tricycles has $$3$$ wheels. There are $$86$$ wheels in total. How many tricycles are there in the park?

2eb9b96314cb4e659c476a8f2b9a7a6e

1

short_answer

Mary is making watermelon juice. It will take $$1$$ minute for washing watermelons, $$3$$ minutes for washing glasses, $$4$$ minutes for the juicer working, and $$1$$ minute for pouring the juice. At least how long will it take for Mary to finish making juice?~\uline{~~~~~~~~~~}~

7811a75321754070a2499adf8af1bec1

1

short_answer

Lewis has $$60$$p. James has £$$1.10$$. How much money do they have altogether?

5ef1c9a0438447ba9288b3fd84a1e5ea

1

short_answer

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

d500548212784181ae868f27144944a3

1

short_answer

The owner of a book store wants to split $$13$$ identical exercise books into $$3$$ stacks. How many different ways can she split them if each stack must have at least $$3$$ books?

484ad20b23084a80a71997e86aafbbee

0

short_answer

Calculate $7 \times 0.4$

cc8c61240c93470c82d6885fe1441a98

1

short_answer

The examination paper of six students are mixed together. How many different ways are there if all six students do not get their own paper?

e4dd70bfb9454c2286a8726ee86d101c

3

short_answer

The teacher wrote the numbers $$1～13$$ on $$13$$ separate paper. She randomly picked $$9$$ of it and stick it on the forehead of $$9$$ students. The students are able to see the numbers of the other $$8$$ students but are unable to look at their own number. Teacher: Students that know the number of different factors your number has, please put up your hand. *Two students put up their hands.* Alice: Although I do not know my own number, but I do know that it is an odd number. May: My number is smaller than Alice\textquotesingle s by $$2$$ and bigger than Mark by $$1$$． What is the product of the four numbers that were not picked?

4fdb62c377d747f98107b2670277dd88

1

short_answer

Ronald sold drinks at a sports match. He sold bottles of lemonade at ＄$$4$$ each and bottles of "$$1000$$ Plus" at ＄$$7$$ each. He started with a total of $$350$$ bottles. Not all were sold and his total income was ＄$$2012$$. What was the minimum number of bottles of "$$1000$$ Plus" that Ronald could have sold?

f881913e5ff54d8ea9433a89abb125b9

1

short_answer

There are $$96$$ blue pens and red pens in a box. The ratio of the number of blue pens to the number of red pens is $$3:5$$. When $$60$$ red pens and some blue pens are added into the box, $$40 \%$$ of the pens are blue. How many blue pens were added into the box?

35f28b203ccb40b1b46923de84a56ccb

1

short_answer

How much force is required to cause a stationary object of mass 2 kg to reach a final velocity of 8 m/s in 4s?

f0db0aaf0c984695962fd98c327d2267

1

short_answer

Find a whole number between $$0$$ and $$100$$ that has the following properties. When the number is divided by $$4$$ the remainder is $$0$$. When the number is divided by $$7$$ the remainder is $$6$$. When the number is divided by $$5$$ the remainder is $$0$$. What is the number?

4f1a75cb742a439caf72488bf6da4ab6

1

short_answer

A fried chicken shop sells wings in boxes of $3$ and boxes of $7$. It is possible to purchase any combination of the two boxes. Some numbers are impossible to purchase exactly, such as $6$ wings. What is the largest number of wings that cannot be purchased exactly? Explain your answer.

94f9a30088f14e23ad5d292b0a21a0e4

1

short_answer

Calculate $20172017 \div 2017$

eb8fb6f94cc1474ca839b50b4b0ce425

1

short_answer

In a mathematics contest, a student would gain $$5$$ points for each correct answer and lose $$2$$ points for each incorrect answer or unanswered question. The number of correct answers that Jane got is $$12$$ more than three times the number of incorrect answers she got. Jane got a total of $$151$$ points in the contest. How many correct answers did she get?

31547fbcddfa44d195f62ee2a144d7f9

1

short_answer

(UK St Paul's Girls School Sample Paper Section $A$ Question $$19$$) The cost for using a minibus is $￡2.42$ for each kilometre. $11$ friends go on a $32$ kilometre journey using $1$ minibus. They share the cost equally. How much does each person pay?

392b16f9a6ac48cca42c471b49e63670

1

short_answer

Calculate $$45+66$$ in a base $$7$$ number system.

cbc6325d9c534f4b9977c61b302c8d0c

2

short_answer

There are $$30$$ children in Mrs Patel's Year $$6$$ class. $$8$$ of them are wearing glasses. $$12$$ of them are wearing a watch. $$7$$ of them are wearing both glasses and a watch. How many are wearing neither glasses nor a watch?

8b67176726654523a82d12a0a53e5a72

1

short_answer

Seven students, $$A$$, $$B$$, $$C$$, $$D$$, $$E$$, $$F$$ and $$G$$ are playing a chess match. So far, $$A$$ has played $$4$$ matches, $$B$$ has played $$6$$ matches, $$C$$ has played $$2$$ matches, $$D$$ has played $$1$$ matches, $$E$$ has played $$3$$ matches and $$G$$ has played $$5$$ matches. At this point, $$F$$ has played~\uline{~~~~~~~~~~}~matches.

15d3db4f4eda491babda7b41a87df4bd

1

short_answer

A positive integer $$N$$ can be divided by $$18$$ numbers from the first $$20$$ natural numbers ($$1$$ to $$20$$). The two numbers that cannot divide $$N$$ happened to be consecutive numbers. Find the sum of these two numbers.

a4b725f5709b47a982b182d038fac1ef

1

short_answer

Work out $628 \times ~5$

11d22bb6c3c14854bb9338e27e427226

1

short_answer

When Cici was born, Linda was $11$ years old. The sum of their ages $4$ years later will be $37$. How old will be Linda $3$ years later?

066d9987dbaf460b8056b1fcc71dd3f4

1

short_answer

Calculate $67 \times 23$

f19f57dc40604eba86f9d7b2bb0b2c70

1

short_answer

Jamie-Anne and Natasha both collect stamps. The ratio of the number of Jamie\textquotesingle s stamps and the number of Jamie\textquotesingle s Natasha is $5:3$. If Jamie-Anne has $18$ more stamps than Natasha, how many stamps do they have in total?

ba994c84bc354e9ebb8e56f799001f32

1

short_answer

Find the sum of all numbers greater than $160$ that give the same quotient and remainder when divided by $15$.

8e079aa33fac45e2933fe8f9f57347fe

1

short_answer

Calculate: $$5+9+13+17+\cdots+85$$．

95171e30845347a5a0bcbd146bae2a00

0

short_answer

Two numbers are such that * the first number is greater than or equal to $$5$$, but less than or equal to $$8$$ * the second number is greater than or equal to $$2$$, but less than or equal to $$10$$ Find the least possible value of the sum of the two numbers.

bc39719692424efd97a67922f5478c31

1

short_answer

Mary walks uphill for $$300 $$ m from her home to school at a speed of $10$ m/min, but walks at a speed of $30$ m/min from school to home along the same route. What is her average speed, in m/min, for the round trip?

bdd45d02da3a4de3baed4b719bcf043f

0

short_answer

$15.2-5.7$

e3abc3aab67f4f7b981e00c65dd7ce44

2

short_answer

There are 5 entrances to a zoo. Tina, Joe, Mike, and Black are going to visit the zoo. They can choose the same entrance, or different ones. The order in which the four people enter the zoo is uncertain. How many different ways are there for them to enter the zoo?

adb3d1fd535a48be8776775afaca3c49

1

short_answer

Woofy has 18 peaches. He wants to put 2 peaches in a bag. How many bags does he need?

8f4e94438ebd4f19ae675530ee3c1dd8

0

short_answer

$226$ apples, $352$ pears and $157$ oranges are distributed equally among some students with $10$ apples, $28$ pears and $13$ oranges left over. What is the biggest possible number of students?

f03076a28d8c4de9b99cc80f1669e699

1

short_answer

Judy and her five friends stand in a line to perform on stage. Given Judy must stand in the first or the last place of the line, then in how many different ways can they form the line?

9f777ba0c7da4ecd859df39dac23c0ff

1

short_answer

Raju is thinking of two numbers. Their common factors are only $$1$$ and $$2$$. Their first (lowest) common multiple is $$12$$. If one of the numbers is $$6$$, what is the other number?

2f084b925d5c4e3c8e7edcf07200e325

2

short_answer

Kim writes all the positive integers without leaving any gaps: $$123456789101112131415\dots$$ What is the $$200^{}\text{th} $$ digit that Kim writes?

20029a5838a5496b81ff40af3d12651e

1

short_answer

A factory produces $500$ televisions every day. In a state-level quality evaluation, a qualified TV product is worth $5$ points, while $18$ points are lost for every unqualified product. Given that the factory got $9,931$ points during four days, how many qualified products were produced in total during these four days?

b0092c2c2ecd4457baa2ed73067b8fd5

1

short_answer

A shirt is priced at $$ $40$$ more than the cost. A customer buys it with twenty percent off. The profit is $$ $12$$. What is the cost of the shirt?

452e139840314890bf5003e2f7071e6c

1

short_answer

$6.25 \times 8.27 \times 16+1.25 \times 0.827 \times 8=$~\uline{~~~~~~~~~~}~.

b7b52b9389844c4ca62d9f3110155373

1

short_answer

Two years ago, Daniel\textquotesingle s age was $6$ times of his daughter\textquotesingle s age. Two years from now, Daniel\textquotesingle s age will be $4$ times of his daughter\textquotesingle s age. How old is Daniel this year?

9ed2edaef1a74aa7ab2da7a4c1e1e5ba

3

short_answer

Points $$P$$ and $$Q$$ are $1800$ metres apart. April and Baye started walking from $P$ to $$Q$$ at the same time. April arrived at point $Q$ first and turned to run towards $P$ at $4$ times of her original speed. She then met Baye $800\text{m}$ from $Q$. When April arrived back at $P$, how many metres was Baye away from $$Q$$?

8646401fa22043b3be02e989c5192b0a

3

short_answer

The number of hens in the farm is 6 times that of roosters. Later, the number of roosters and hens increased by 60 each. As a result, the number of hens is 4 times that of roosters. How many chickens did the farm keep before?

5018d5ab300649cebcf5c45010bddd83

1

short_answer

The mean of seven numbers is $12$. An eighth number is included and the mean decreases to $11$. Find the eighth number.

a4a8d66b728347868536b3995b8fc695

1

short_answer

Please calculate the following questions． $$1+2+3+4+5+6+7+8+7+6+5+4+3+2+1+1+2$$．

d9216e847ffd4805a2ca577a27228cc1

1

short_answer

What is the $2021\text{st}$ digit of $0.\overset{.}{\mathop{5}}3846\overset{.}{\mathop{2}}$ after the decimal point? Pip\textquotesingle s answer: $$2021\div 6=336\cdots \cdots 5$$ The $2021\text{st}$ digit is $5$.

216f3c5f6bd1448286cfaa40eb464d6f

1

short_answer

How many digit "$9$"s are there from numbers $1$ to $100$?

8f3600a93e7c46e28e43d9b4b9104ddc

1

short_answer

$8000 \times 0.7$

69c45c2ab19846ef90c4ca25ad543301

1

short_answer

375+753+537+357+573+735=~\uline{~~~~~~~~~~}~

dfbce185a0d1406bb45782f37f1adb2b

1

short_answer

A palindromic number is a number that can be read the same forwards and backwards, $e$.$g$. $33$ and $797$. How many of such numbers are there between $10$ and $1000$?

47d4d71ebd964d418d18b5348710fb9b

1

short_answer

Here is a sequence as follows: $$2$$~ $$3$$~ $$1$$ $$4$$ ~$$2$$~ $$3$$~ $$1$$ $$4$$ ~$$2$$~ $$3$$~ $$1 $$ $$4$$ $$\cdots \cdots $$ What\textquotesingle s the $$100$$th number?

e2ea592e99324a6b86bbb07ba971a430

2

short_answer

Bud had some money. She spent $$\frac{1}{3}$$ of it on a book and $$\frac{2}{5}$$ of it on a bag. The book and the bag cost £$$132$$ altogether. How much money did she have at first?

dbc4269e2e99475794fddbd7d1e826c6

2

short_answer

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

1ccbabdc7f034326be8b94b02ccbf7ad

1

short_answer

The mass of Parcel A is $5$ times the mass of Parcel B. The mass of Parcel C is $75$g less than the mass of Parcel B. If the total mass of the three parcels is $835$g, find the mass of Parcel A.

c249f8e6939148b99f296ae70f7cf7e8

1

short_answer

$4125-837$.

a93778b948054d42ad167593922df9c6

1

short_answer

There are $5$ blue, $8$ green and $6$ white beads in a box. At least how many beads must Darrell draw from the box to get $$5$$ green bead for sure?

101e7c9b793b4e26ac47357202b6291d

1

short_answer

Among the natural numbers $1-105$: How many are divisible by $5$ or $7$?

2b1f58b0e57c45099538b16cb3f3c104

1

short_answer

A story book has $$215$$ pages which are numbered from $1$ to $215$. How many digits are used in numbering this book?

eca2b23e39bc4c299b30d3fbc9b3d73d

1

short_answer

What $$5$$-digit number has the following features: If we put the numeral $$1$$ at the beginning, we get a number three times smaller than if we put the numeral $$1$$ at the end of the number? In other words, if you think the answer is the number $$34567$$, then you want the number $$134567$$ to be one third of $$345671$$, but it isn\textquotesingle t, so what\textquotesingle s the number?

b45003629b394ccebb1e2b405d724add

1

short_answer

Noa has a notebook with $$81$$ pages. How many digits have been used for the page numbers in the notebook?

1222cdddea1c4817bb25740ae257c8cd

0

short_answer

John needs $$12$$ minutes to walk up the stairs from the first floor to the fourth floor at a constant speed. At this speed, how long does he need to walk up the stairs from the first floor to the eighth floor?

40d0f5e5a3d04db08f0040c8220611b9

1

short_answer

How many possible ways are there to split $$6$$ apples into $$3$$ identical baskets (the baskets can be empty)?

979c9332296e4b05927d9ad6ccb64f02

3

short_answer

In a park, the ratio of number of birds to squirrels is $$8 : 5$$. One year later, the number of squirrels increased by $$20 \%$$ and some birds flew away. Given that the total number of birds and squirrels remains the same, find the percentage of the birds that flew away.~\uline{~~~~~~~~~~}~$ \%$

0591335fbeb544698580a0e98be03d2a

1

short_answer

Given~$a\odot b=5a-2b$, find~$6\odot2$.

1b2e33b69c4341748d743ea3c35f44bd

1

short_answer

In a division equation, the sum of the divisor, dividend, quotient and remainder adds up to $40$. Given that the remainder is $3$, find the number of possible values of $\frac{\text{Dividend}}{\text{Quotient}}$. ~\uline{~~~~~~~~~~}~$\div$~\uline{~~~~~~~~~~}~$=$~\uline{~~~~~~~~~~}~R~\textbf{3}

9c0a5f1ed9254394ae35f6dd067361f9

1

short_answer

Wendy eats an average of $15$ pizzas a month. Find the total amount of pizza she eats in March to July.

14d6fb53ee054b819a454314775c99b9

1

short_answer

Fiona, Gary and Harold went to pick some strawberries. Fiona and Gary picked $973$ of strawberries in total. Fiona and Harold picked $1823$ of strawberries in total. Harold picked $6$ times as many strawberries as Gary. How many strawberries did Fiona pick?~\uline{~~~~~~~~~~}~

6fec75e44860480685b5445a5272826d

1

short_answer

Dave just bought a new book and on the first day, he read $$30$$ pages. Starting from the second day, the number of pages he read increased by $$4$$ pages, and Dave read $$70$$ pages on the last day. How many days does Dave finish reading the book?

1804adbd1c694fbf927bc62b4de481a7

1

short_answer

$$32\times 2.99$$

5b2b9a10bf9b44c1988bdcc8f01d4a18

1

short_answer

Given $$4$$◈$$7=21$$ $$6$$◈$$22 = 20$$ $$8$$◈$$30=26$$ Find $$9$$◈$$20$$.

21f2e786c44e43fd8fbda4a44480bfbf

1

short_answer

Janice\textquotesingle s mother bought $$8$$ cartons of orange juice. Each carton contained $$3$$ ℓ of orange juice. After drinking $$9$$ ℓ of the juice, Janice\textquotesingle s mother wanted to pour the remaining juice into containers that had volumes of $$5$$ ℓ each. How many container did she need?

edb6ff670e7a48e9aef3d4e832e24086

1

short_answer

What is the next term in this sequence: $7, 15, 23, 31, \ldots$?

1abbedb2f71c4dbab5df55bde5e26a5d

1

short_answer

Compute the following series: $$1+2+3+4+5+\cdots +45+46+47+48+49+50.$$

7bb759a90ae748649b4ddfa82640d631

1

short_answer

Calculate: $$782-9\times 52\div 2$$ $ $ $ $ $ $ $ $ $ $

9cd1a6eac3734a348b37444a5f4ed5e0

0

short_answer

What is $7 \times ~8$?

de32a278ca184c9c9f171ce6754bd1c9

2

short_answer

On a certain planet, the following equations are true. $$D + A+ R +T=11$$ $$T+A+R+T=12$$ $$C+ A + R+T=13$$ Each letter represents a different integer. No letter takes the value $$0$$. Find the largest possible value of $$A + R+T$$.

1b458ff9afcc4e6694b4762bc4c0b43d

1

short_answer

Given $$\frac{5}{9}{}\textless\frac{9}{A}{}\textless1$$, where $$A$$ is an integer. Find the number of possible values of $$A$$.

83fd4800ad634c9cb2b8e8bbefea460b

1

short_answer

Luna the baker can make $7$ loafs of bread with every $4$ cups of flour. How many cups of flour does Luna need to make $35$ loafs of bread?

71733d004c514cf2bf9b3a3ddaab0766

0

short_answer

Four friends each sent good luck cards to each other. How many cards were sent altogether?

630d3f51949a4ab29f59d2121794d3d7

3

short_answer

In a class gathering of $$39$$ students,~$\tfrac{1}{4}$~of the boys is equal to~$\tfrac{2}{5}$~of the girls. How many more boys than girls are there at the gathering?

1af542041fcd45c9a176b5924756243f

1

short_answer

In the first row of a school choir team, there are $$3$$ members on the left of Tanya. There are $$5$$ members on the right of Tanya. How many members are in the first row of the school choir team?

42831d4ef6484891b15f159d0746344e

1

short_answer

$52\div\dfrac{2}{3}$

33a1b183569242aa916ecbe40586c0c7

1

short_answer

The largest four-digit factor of $$87878$$ is a prime number. What is it?

c8f89b66009449e3865d5474344519ce

1

short_answer

At Think Olympics, Jack completes an $$800-$$metre race. He runs the first $$280$$ metres at a speed of $$7$$ metres per second, the middle $$400$$ metres at a speed of $$5$$ metres per second, and in the final sprint stage, Jack runs at a speed of $$8$$ metres per second. How long did Jack take to finish the entire race (in seconds)?

8d22899bdd964169a2e962c83bfbcbd5

1

short_answer

A transport company\textquotesingle s vans each carry a maximum load of $$12$$ tonnes.A firm needs to deliver $$24$$ crates each weighing $$5$$ tonnes. How many wans are needed?

d0dd7735401a440189d8289ae8ab1028

3

short_answer

Daniel and Patrick had an equal number of stickers at first. Daniel then gave away $$24$$ stickers to his friend Melvin, and Patrick bought another $$10$$ stickers. In the end, Patrick had twice as many stickers as Daniel. Find the number of stickers Daniel had at first.

3cac306af46048b1913124fd77518e07

0

short_answer

$$$$Calculate$$$$ $（128-（24+16)\div5)\times2$

82b6a8beca7d4600a963dd45eccccf7d

1

short_answer

The number $$3$$ can be split in three different ways by adding positive whole numbers together as follows $$1 + 2$$, $$2 + 1$$ and $$1 + 1 + 1$$. Using the same method, in how many different ways can the number $$5$$ be split?

f701b731918b424b845fa7f5be85cca5

1

short_answer

What is the smallest two-digit number that can be divided by 3 and 7?

b9cbfde4746d478da4ea66e77bc853b0

1

short_answer

Students in Class $2A$ were doing sit-ups. In $1$ minute, Henry did $$17$$ sit-ups and Jack did $$10$$ more than $$3$$ times that of Henry. How many sit-ups did Jack do?

069dc14c48254481a3bc04db18550ed3

0

short_answer

A whale is $82$ metres below sea level. A plane is directly above the whale and $569$ metres above sea level. Find the vertical distance between the whale and the plane.

ce865959d3344e57a3aaf073ee2bb3fb

1

short_answer

A Year $$6$$ class has $$30$$ pupils. There are $$21$$ who are right-handed. There are $$16$$ girls in the class. Not all the girls are right-handed. What is the smallest number of girls who are right-handed?

466b36af3a8446caafde7a548b3f78e0

1

short_answer

What is the smallest possible difference between two different nine-digit numbers, each of which includes all of the digits $$1$$ to $$9$$? For example the two numbers could be: $$123456789$$ and $$987654321$$

d7f813e5b15745bbaf0c9127836fa459

1

short_answer

Rena bought some fruit at a grocery store. $$\frac{2}{3}$$ of them were apples, $$\frac{1}{9}$$ of them were bananas and the rest were lemons. She bought $$12$$ more apples than lemons. How many lemons did Rena buy?

ec878d4f92a64aa1ab12f86c3fa8a94b

1

short_answer

In the clothing factory, each worker can make six skirts each day. The factory only had one worker on the first day, and another worker joined on the second day. Each day thereafter, a new worker would join. How many skirts have they made in total for nine days?

fffb4e32f90b489bbe7949d334d8186e

0

short_answer

$$45\times52=2340$$. What is $$234000\div520$$? ~\uline{~~~~~~~~~~}~

2d6aea4ba7814aac9c2750870ec89264

1

short_answer

Jenny eats $6$ pieces of pizza, and she eats $5$ fewer pieces than Qiqi. How many pieces of pizza does Qiqi eat?

87b40651078348b78ccc888ac86bf65e

1

short_answer

The probability of an animal A living over 20 years old is 0.6, and the probability of living over 25 years old is 0.3. If there is a 20-year-old animal A, what is the probability of it living over 25 years old?

35851918f9924fceb5a562dd5d192675

1

short_answer

$5$ taps take $2$ minutes to fill a $1$ litre jug. How long it takes for one tap to completely fill a $500\text{ml}$ jug?

de4ad58a954b4989ae634d7131538ded

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?

4c87648eb039475abd9708a1ed7cecfa

1

short_answer

What is the sum of the following numbers? $$1 + 3 + 5 + 7 + 9 + 12 + 14 + 16 + 18 + 21 + 23 + 25 + 27 + 29 =$$