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27766b651a1f4d2aae49cf67f35c42d8

1

short_answer

Work out~$\dfrac{3}{13}$ of $52$.

f4c9a4282e1345c9bbca6c475b472737

1

short_answer

Zach is doing the following question: A snail has fallen into a well. In order to climb out of the well, it climbs upwards by $8$ $\text{m}$ during the day. However, at night, it will slide down by $3$ $\text{m}$ . If the snail manages to climb out of the well on the $9$\textsuperscript{th}~day, after climbing $8$ $\text{m}$, how deep is the well? His working is below: $8 - 3 = 5$ $5\times 9 = 45$ The well is $45$ $\text{m}$ deep. Is Zach correct? If not, show the correct working and answer.

971a39bdec6540cb9d485a6ec1047a5a

1

short_answer

A book usually costs £$$18.60$$ but it is reduced by $$15 \%$$. How much does it cost now?

f44b5a2d15354af582ad35749d438ad3

1

short_answer

$$20+519$$

3f9379f05667462b83ddc4ad0c015e2a

1

short_answer

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

75754b6444eb4ac999eea02d4c15c1ae

1

short_answer

Divide $$285 \div 3$$

cb198c5105554691b5c2769bc9702902

1

short_answer

Among 100 foreign language teachers, 75 of them know French and 45 of them know Japanese. There must be some teachers who know both French and Japanese. How many teachers only know French?

3299707a36e74108be6c90e585878b40

1

short_answer

Rachel buys three identical bags of sweets and five cans of drink, the total cost of these items came to £4.90. Rosie buys just one bag of sweets and three cans of drink and pays £2.70. What is the cost of a bag of sweets?

09e133cd62e94b3a83040c4a18ba31d0

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short_answer

Teddy and five of his friends are arranging themselves in a single line to take a picture together. If Teddy cannot be on the furthest left, how many different ways can the six of them line up?

a408d24a473b41c1b69fdd5572d7b292

0

short_answer

Work out $$16.4\div20$$. ~\uline{~~~~~~~~~~}~

3121bf5cbc854fd786bb1b4d2885b8ee

1

short_answer

The first term of a sequence is $$50$$, the second is $$46$$, the third is $$42$$ and so on. How many terms are there before the first negative term? Answer:~\uline{~~~~~~~~~~}~

0b8f50cdd3c44951b15c9241a332716f

1

short_answer

David, Bentley and Triston have $$408$$ stamps altogether. Triston has $$5$$ times as many stamps as Bentley. David has $$2$$ times as many stamps as Bently. How many stamps does Triston have?

86c640d251b04743a791ed72e6ef1406

1

short_answer

Find four ninths of $$963\text{p}$$ ~\uline{~~~~~~~~~~}~

12bb2874238a47da87ffaed7ea879f56

2

short_answer

If you add up the digits of $$14$$ you get $$5$$, i.e.$$1+ 4=5$$. \textbf{How many} $$2$$-digit numbers are there altogether (including $$14$$) which add up to a multiple of $$7$$?

0e485f9ad3f7447285e70845caf1d116

1

short_answer

The sum of seven consecutive whole numbers is $280$. What is the largest of the seven numbers?

4ebd96f87e564c70a9f67b3e4a10d85d

1

short_answer

$${{1000}^{2}}-{{990}^{2}}+{{980}^{2}}-{{970}^{2}}+{{20}^{2}}-{{10}^{2}}=$$~\uline{~~~~~~~~~~}~

e288e678bbb249bcaab6d53963001d88

1

short_answer

The sum of two numbers is $$49$$. The difference of the two numbers is $$9$$. Find the bigger number.

d2cd4a56ec964afaadc7c52c40a6299e

2

short_answer

$$A$$ and $$B$$ are two distinct $$3-$$digit numbers which have two equal digits (not necessarily in the same number place). It is known that the highest common factor of $$A$$ and $$B$$ is $$75$$. Find the largest possible sum of $$A$$ and $$B$$.

b654f11047ce401a8e2731b60cbe351b

1

short_answer

Calculate: $1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 =$~\uline{~~~~~~~~~~}~

ae782a917c0e49dd8aa4c9143b7f6498

1

short_answer

$$20-18+16-14+$$$\cdots$$$8-6+4-2=$$~\uline{~~~~~~~~~~}~

48223bc38999457a8ca5cb8944280073

1

short_answer

Calculate: $$8+32+72+128+200+288+392+512+648$$.

5bad72a578f940cf8c6627f29fcbdfde

1

short_answer

Angel and Yiyang saved $$ $92.20$$ in total. Angel and Kayla saved $$ $28.20$$ in total. Yiyang saved $$5$$ times as much as Kayla. How much did Angel save?

73662c89c90340368f0f31dbbb793bcb

2

short_answer

An book club has $5$ reading magazines and $5$ reading storybook. Tom is deciding the order of these kind of books. If he wants to read at least $1$ magazines between every $2$ storybooks, how many different ways are there for him to arrange these books?

e7473cbabe36456fb728cd45b22d0cc7

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short_answer

A game is played on a board with spaces numbered $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$ $$\cdots \cdots $$ and so on. In the game players throw a dice numbered $$1$$ to $$6$$ and move forward the number of spaces indicated unless they throw a $$6$$. If they throw a $$6$$ they do not move but have to go back the number on the~\textbf{next}~throw. What space would you end up on after these $$8$$ throws: $$5$$, $$5$$, $$3$$, $$6$$, $$2$$, $$6$$, $$1$$, $$4$$? ANSWER~\uline{~~~~~~~~~~}~

dc0379c31de248fd8d41c231a4b7bbe8

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short_answer

Alex and Brayden had ＄$$756$$ altogether. After Alex gave ＄$$65$$ to Brayden, Alex had three times as much money as Brayden. How much money did Brayden have at first?

26fc18a2aa384355aa0db444268680d3

1

short_answer

I bought a packet of fruit gums and ate $$2$$ of them, secretly, in my Music lesson. At break, I shared one third of the remaining fruit gums with my friends. I then finished the fruit gums, eating an equal amount in each of the next four lessons. What is the smallest number of fruit gums there could have been in the packet?

e5cbd5d784b64b1e90f8c8affb745d94

1

short_answer

Kate has $£13$. James has $£28$. James gives Kate some money so that they now have the same amount of money. How much does James give Kate?

d67cc9413a3540dda3185a84e88494ff

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short_answer

Find one tenth of $$17.1$$. ~\uline{~~~~~~~~~~}~

54a4368e09b64fa4ae17d9fafb1cc1f0

1

short_answer

If a $6-$digit number $$\overline{42A28B}$$ is divisible by $$99$$, what is the value of the $2-$digit number $\overline{AB}$?

d2d70b19b95d4c2980b65eaa5b33a64f

1

short_answer

The average of ten numbers is $$10$$. If one of the ten numbers is removed, the average of the remaining numbers is $$9$$. What is the value of the number that is removed?

0910afd7c9174c95a8df8508d6e7179e

1

short_answer

Lucy can walk at a constant speed of $3.6$ kilometers per hour. How many meters can she walk in $300$ seconds?

7ed06d70e33c42a59176b296814f9641

1

short_answer

Three brothers and a sister shared a sum of money equally among themselves. If the brothers alone had shared the money, then they would have increased the amount they each received by £20. What was the original sum of money?

c4239409e9834407bcd7d853669b16fc

1

short_answer

$25\times4\times13=$~\uline{~~~~~~~~~~}~

fd1df5442cc54af194c050069058433f

2

short_answer

Calculate: $$1^{3}+3^{3}+5^{3}+\cdots+21^{3}$$.

63fc0ee320d54f81933be0988ed9fb3d

2

short_answer

Lauren had the same number of red, green and blue beads at first. After giving away $112$ blue beads and some red and green beads, Lauren had $$350$$ beads left. There were $$2$$ times as many red beads as green beads left. The number of blue beads left was $$50$$ fewer than the number of red beads left. How many blue beads did she have at first?

5fa816e5b446405587309db43ab19e8d

2

short_answer

There are $5$ different whole numbers. The average of some $4$ of these $5$ numbers is $36$, $38$, $39$, $45$ and $49$. What is the largest number among these $5$ numbers?

f396c06eee044d4c857925759f17b15d

1

short_answer

The Cupertino City Library has $360$ art books. If $\dfrac{1}{3}$~of the art books is equal to $\dfrac{4}{5}$~of the science books, how many science books does the library have?

41f505bb491242358551d509d2bc0f53

1

short_answer

Katelyn and Jared shared some stickers in the ratio $$2:5$$. Jared has $$60$$ more stickers than Katelyn. How many stickers do the two children have altogether?

7b33b3e40e114514bc857beeadd0ef2e

1

short_answer

$$32\times20\times300$$

8e13d12e420d4c5ebcc4af6c803994d9

2

short_answer

You invest $10,000$ dollars in an investment that pays $5 \%$ interest compounded yearly for the first three years, and then $10 \%$ interest compounded yearly for the last two years. How much will you get after five years? ($1.05^{3} \approx 1.15763$ and $0.95^{3} \approx0.8574$, round the result to the nearest tenth)

1aa1093f65fa4076aac242c4103891b2

1

short_answer

Think Factory produced $$870$$, $$165$$, $$448$$, $$425$$ and $$3562$$ conponents in $$5$$ comsecutive days. Round each number to the nearest hundred to estimate the total number of components produced.

0589562cb3d8409e9ec3a0bb065f706f

2

short_answer

What is the least number of cuts required to cut 16 identical sausages so that they can be shared equally among 24 people?

7f47c8080f134d369478c048481bf15f

1

short_answer

There are $42$ volumes of Chinese textbooks, $63$ volumes of math textbooks and $28$ volumes of nature textbooks. All textbooks are going to be equally divided into some stacks. Each stack must contain only one type of textbooks. Find the greatest possible number of textbooks each stack contains.

cf6a17fe82d4429d901a3cb109ff35af

1

short_answer

Qiqi walks from the library to school at a speed of $$60\textasciitilde m/min$$. $$2$$ minutes later, Weiling also leaves for school from the library at a speed of $$72\textasciitilde m/min$$. Weiling arrives at school $$4$$ minutes before Qiqi. What is the distance between the library and the school?

68813ca3c24c42149ea862902169e0c3

1

short_answer

Star and Nini are typing a document. If Star types $$5$$ hours and then Nini types $$20$$ hours, they will finish the job. If Star types $$20$$ hours and then Nini types $$8$$ hours, they can also finish the job. How long will it take Nini to finish the job by herself?

3cb997a578814bb191020afbf8ceb5f8

2

short_answer

If 4 construction companies can build a $$900\rm m$$ expressway in $$5$$ days, how many days will 1 construction company take to build a $$2700\rm m$$ expressway?

d2ea6172a82640c28eb896db6bd6ed62

0

short_answer

Richard\textquotesingle s mother Isobel flies out to see Richard. He meets the plane, which was on time, at $12$ noon, St Petersburg time. What time did the plane leave Manchester?

81af17d8de7a46a788695ca8365b15ae

1

short_answer

$1 \text{kg}$~is approximately $2.2$ lbs (pounds). Roughly how many pounds is $5 \text{kg}$?

b7ec49fc670841a1b3ed283d59481312

1

short_answer

Jane is 45 cm taller than her brother Ben. Jane is 130 cm tall. How tall is Ben?

d252da6964f34cafb15841fcb98f9545

1

short_answer

Students of Class A are standing in a queue. Counting from the front of the queue, Ben is $6$\textsuperscript{th}~in line. Counting from the back to the front, Frank is $9$\textsuperscript{th~}in line. Ben is in front of Frank, and there are $10$ people between Ben and Frank. After drawing a quick diagram, Ben concluded that there are $27$ people in the queue altogether. Is Ben's answer correct? If not, draw the correct diagram and find the correct answer.

31bceb787e4e47be97073d7d8a8b3778

1

short_answer

Mrs Tan mixed coffee and milk in the ratio $$3:8$$ to make a Latte. How many litres of Latte did she make if she used $$6$$ litres of coffee?

486b088e81d74803b137ad63cc4007e3

1

short_answer

A three-digit integer has remainder $2$ when it is divided by $8$ and remainder $2$ when divided by $11$. What is the smallest possible value of the number?

6f0ec90fdeac4893aaf890122d46e374

1

short_answer

$32-30+28-26+\cdots+8-6+4-2=$~\uline{~~~~~~~~~~}~

717137e7208846a585af9fb90e9f65a3

0

short_answer

Calculate the following $72 \%$ of $140$.

52ca3ae0b2e14097bf693e3c00c7fd95

1

short_answer

There are marbles of three different colors in a jar, of which $\dfrac{2}{5}$~are red, $\dfrac{1}{3}$~are green and $96$ are yellow. How many marbles are in the jar?

f4ac3e3adf8e48cd9836ded820e5f0cf

1

short_answer

You deposit some money into an account which earns $9 \%$ annual interest. If you can withdraw $870$ dollars from this account after 5 years, how much you need to deposit now?

16bb2f8b73aa4a2f87ca69fbf8cc577c

1

short_answer

Calculate: $$19+18+17+16+10=$$

456be3e7a4b1442f849f8976ad331a08

1

short_answer

Find the remainder when dividing $${{42663}^{2}}$$ by $$9$$.

9418da19a88b4ab6ad37f24482a17de8

1

short_answer

What are the last $$4$$ digits of the following sum $$1+11+111+1111+\cdots +\underbrace{111\cdots 1}_{2015 ; 1s}?$$

49451447b0b84c1aa576ca9cf57eb570

2

short_answer

(2020 AMC upper Question\#28) How many even three-digit numbers are there where the digits add up to 8?

9b2f93ae65ff4b8cb762302908c1e9e9

1

short_answer

Express~$\dfrac{1}{20}$~as a decimal number.

d605a3d05bcc43148562bbdb79db1c71

1

short_answer

Find the unit digit of $$13^{242}+17^{379}\times4^{2012}$$.

0b6fb29ca6e9447ca855d69db2282654

1

short_answer

There are $$2$$ blue marbles and $$2$$ yellow marbles in a bag. Without looking into the bag, at least how many marbles must you take from the bag to be sure you get $$2$$ marbles of the same colour?

23708dd0135542c9a0397bac3cf7df9e

1

short_answer

A number has a remainder of $2$ when it is divided by $4$. It also has a remainder of $3$ when it is divided by $5$. It has a remainder of $3$ when it is divided by $11$. Find the smallest possible value of this number.

d378edcf9ef64254a7f97387b00ae18b

1

short_answer

John is one year older than his wife Mary. They have three children, whose ages are two years apart. The product of John and Mary\textquotesingle{} s ages is less than 2019. The product of the three children\textquotesingle{} s ages is also less than 2019. Next year both these products will be greater than 2020. This year, what is the sum of all five ages?

2f5f5ef83c574d589866d40947993237

1

short_answer

What is the $7$th term in this sequence: $11, 8, 5, 2, \ldots{} $?

104db66ae297441bbca8c76f5ce475ec

3

short_answer

Mrs Chen spent $$$36$$ on a number of plates and~$\tfrac{3}{4}$~of the remaining money on a number of cups. If she had~$\tfrac{1}{6}$~of the original sum of money left, how much money did she have at first?

f1ec42c9727d45019312260e63e8481e

2

short_answer

A $$9$$-digit whole number $$\overline{abcdefghi}$$ is formed using digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$, $$8$$, $$9$$ without repetition. If $$A= \overline{abc}+ \overline{bcd}+ \overline{cde}+ \overline{def}+ \overline{efg}+ \overline{fgh}+ \overline{ghi}$$, find the largest possible value of $$A$$.

51b8bb60af70468585594276c4549d5f

1

short_answer

A bicyclist takes $$2$$ minutes, and $$30$$ seconds to travel a distance of $$1$$ mile. At this rate, how many miles will the bicyclist travel in $$1$$ hours? ($$1$$ mile is approximately $$1609.34$$ metres)

5919c5ed904d4b1eb75ba4e56ab0daba

1

short_answer

If all the positive integers with leftmost digit $$8$$ are listed in ascending order: $$8$$,$$80$$,$$81$$,$$82$$,$$83$$,$$84$$,$$\cdots $$.What is the $$2012^{}\text {th}$$ integer in the list?

14e76068ade649c18d46e10500185a77

1

short_answer

The teacher divides some balls among $$5$$ students, and the number of balls owned by these students are five consecutive natural numbers. There are $$160$$ balls in total. How many balls does the student with the most balls have?

fb2929103b234c36a83b16152d639699

3

short_answer

How many different ways can you place $15$ envelopes in the following 4 mailbox so that there is at least $2$ envelopes in box $A$, at least $4$ envelopes in box $B$, and at least $3$ envelopes in box $C$?

5112b404eb824dc0b71fd51b06757616

0

short_answer

Calculate $25$\% of $80$.

5c608f9e5216463fa42df2bcdf873d46

1

short_answer

Calculate: $${{2}^{2}}+{{4}^{2}}+{{6}^{2}}+\cdot \cdot \cdot +{{20}^{2}}$$

2f102fdf5c8944f590e2fe08c5776b62

2

short_answer

Two watermelons and three honeydews cost ＄$$48$$. Each honeydew costs twice as much as each watermelon. What is the cost of a honeydew?

2def08a06682438abd603dfb441bdcac

1

short_answer

A certain country taxes the first $20000$ dollars of an individual's annual income at a rate of $15$\%, and all income over $20000$ dollars is taxed at $20$\%. If an individual is taxed $7000$ dollars, how much is her/his income?

d304c371fad640039cf2aef0608bc6cf

0

short_answer

Find $x$: $$47-2(x+3)=1$$．

16719701a44b4e74b780b8ee086863a6

0

short_answer

What is one tenth of $1.4$?

8b62ceaf1c8a475fb638fefb9ee9fe23

1

short_answer

When $$\dfrac{1}{13}$$ is written in decimal form, what is the digit in the $2022^{\text{t}\text{h}}$~decimal place?

d5d6a40303714f8a8ac28fac5100d265

2

short_answer

Michael has three ropes with lengths of $28$ cm, $$14$$ cm, and $$56$$ cm, and he wants to cut them into pieces of equal length without leaving any surplus. What is the longest possible length of each piece?

a0ed7f5e8007463db822ca4a6d5c38ad

1

short_answer

A total of $$40$$ chickens and rabbits are caged together. If there are $$100$$ legs in total, there should be~\uline{~~~~~~~~~~}~chickens.

e6d3e99bc50e4197ba980e76f8a3861f

1

short_answer

Store $$A$$ and Store $$B$$ had an equal number of packs of potato chips at first. After Store $$A$$ sold $$290$$ packs of potato chips, Store $$B$$ had $$3$$ times as many packs of potato chips as Store $$A$$. How many packs of potato chips did both stores have altogether at first?

469c613e4b42431083b62ce75d2ba64f

2

short_answer

A teacher asked $30$ students if they had a school lunch or a packed lunch or if they went home for lunch. $17$ of the students were boys. $4$ of the boys had a packed lunch. $7$ girls had a school lunch. $3$ of the $5$ students who went home were boys. Work out the number of students who had a packed lunch.

21d247063caa480aa4fd164855aaf8d6

1

short_answer

A sports store sells each dark chocolate for $6$ dollars, each milk chocolate for $5$ dollars, and each stawberry chocolate for $4$ dollars. In this year\textquotesingle s winter sale, the bar decides to make a blended these chocolates by mixing up $20$ dark chocolates, $20$ milk chocolates, and $20$ stawberry chocolates. How much will a blended chocolate cost on average?

e88ad0d7f3f54f3cad6c71dd96553567

1

short_answer

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

a805e5e4aa104df697703c2b687e1b6d

0

short_answer

How many factors does the number $36$ have?

842182ab896748b7a10d330f85ae87d8

1

short_answer

How many numbers less than 100 are divisible by 12?

5dc3d08683054ae99151ce2641524c51

1

short_answer

Find x. $$10(x+1)-5(x+1)-28=2$$.

9781a5cc0b814b1bb88b4c3ef4a62e10

1

short_answer

A train with a speed of $$53\text{m/s}$$ takes $$19$$ seconds to pass a tree on one side of the road. Find the length of this train.

2697c4034ea94601bb0fe5639660557d

1

short_answer

A man can finish drinking a barrel of orange juice in $$15$$ days on his own. If he shares the barrel of orange juice with his wife, they can finish it in $$12$$ days. How many days will his wife take to finish drinking the same barrel of orange juice on her own?

8e3dbd5080e34453a64a1a23ca30111e

1

short_answer

Evaluate $$2017\times \left( 1-\frac{1}{2} \right)\times \left( 1-\frac{1}{3} \right)\times \left( 1-\frac{1}{4} \right)\times \cdots \times \left( 1-\frac{1}{2017} \right)$$．

005fc5ec14e04dcba10b71edf3c8e322

1

short_answer

CC prepares $18$ pears, $30$ strawberries, and $18$ boxes of chocolate for her friends. She divides all of them equally among her $6$ friends. How many fruits does each of her friends get?

c15b927172434ffa9a24c1dbeb5e27c2

1

short_answer

A tricycle has $$3$$ wheels. How many wheels do $$6$$ tricycles have? $$6$$ tricycles have~\uline{~~~~~~~~~~}~wheels.

aa0bf7ef0d1143f9b795235a58ca1591

1

short_answer

\textbf{\emph{SPECIAL OFFER ON MATHS BOOKS!}} \textbf{\emph{Fun Trigonometric Calculus For Pre-School, by lan Tregation Only £$$16$$ each.}} \textbf{\emph{Speical offer: Buy $$3$$ and get $$1$$ free!}} Subhan wants to get $$5$$ of these books. How much does he pay? ANSWER~\uline{~~~~~~~~~~}~

3731755de37e48238b28194f092ad465

1

short_answer

At an exhibition, $$\frac{2}{5}$$ of the people were women. There were thrice as many men as children. There were $$190$$ more women than children. Find the total number of people at the exhibition.

6067f08c4e394300937f039a6579403e

1

short_answer

Sam thinks of a number. If you double the number and add $$6$$ you get the same answer as multiplying it by $$3$$ and subtracting $$3$$. Find the number that Sam was thinking of. Answer:~\uline{~~~~~~~~~~}~

f2cae285f0b84b47ade17c9a18ab319b

1

short_answer

The average number of pencils owned by the boys and girls in a class is $$35$$. The average number of pencils owned by the boys is $$20$$ while the average number of pencils owned by the girls is $$60$$. If there are $$40$$ pupils in the class, how many boys are in the class?

3ba68d061ee44b82b9ca4db170f3bec5

1

short_answer

The Turpan Depression is a fault trough and its base is located $154\textasciitilde m$ below sea level. Mount Fuji is a mountain and its tip is located $3776\textasciitilde m$ above sea level. Determine the distance between the base of Turpan Depression and the tip of Mount Fuji.

9a74773c879b4522a6185e9816be51da

1

short_answer

What is the smallest number that must be added to $7059$ to make it divisible by $4$?

0f8960c766754ad7976ce474a09accd8

1

short_answer

A book has $$200$$ pages, numbered from $1$ to $200$. How many times does the digit $1$ appear in numbering those pages?