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0760b73c607e495a97b0a547a70d5af8

1

short_answer

Write down a number that is half-way between $-18$ and $-2$

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short_answer

In the four-digit number $ABCD$, different letters represent different positive digits. If $AB$ is divisible by $2$, $BC$ is divisible by $3$, $CD$ is divisible by $5$, $ABC$ is divisible by $9$, $BCD$ is divisible by $11$, what is the value of $ABCD$?

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short_answer

A marble cake costs $$$2$$ more than a strawberry cake. A cheese cake costs thrice as much as a marble cake. A strawberry cake is $$$3$$. What is the price of $$2$$ cheese cake?

a3e35c4319ef4a119310524b050ec78f

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short_answer

Bernard thinks of a number. When the number is divided by $$2$$, the remainder is $$1$$. When the number is divided by $$3$$, the remainder is $$2$$. When the number is divided by $$4$$, the remainder is $$3$$. When the number is divided by $$5$$, the remainder is $$4$$. It is less than $$80$$. What is the number?

5c92d8264b89439e9a8efcb1cde156d8

1

short_answer

$$10.256+9.2-7.51$$ =

0b1fff26446748ceb6d70df2d4c59f1f

2

short_answer

16teachers from Think Academy participate in a badminton tournament, where they are paired off to compete with single elimination rules (the loser of each game is immediately eliminated from the tournament). How many games will be played to determine the winner?

031f3635142c4421b05d4b2b576e071a

3

short_answer

（AMC 2016 Question \#27） 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?

776031bcc4e54790a7e85880c7273093

1

short_answer

If I treble a number and add $6$, I get the same answer as when I add $16$ to that number. What is my original number?

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1

short_answer

The ratio of height to width on an old television screen is $$3:4$$. If the height of a television screen was $$21\text{cm}$$, find the perimeter of the screen.

07cca6d9086647059f61d49c4cc9e778

0

short_answer

What is the value of $$20+19+18+17+16-15-14-13-12-11$$?

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2

short_answer

$$2$$ similar wallets and $$3$$ similar watches cost ＄$$433$$. $$5$$ similar wallets and $$4$$ similar watches cost ＄$$701$$. How much does a wallet cost?

3dff81f53f23452495bb29a705bf520f

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short_answer

Given that $\frac37=\dot{4}2857\dot{1}$. Find the sum of the first $58$ digits after the decimal point in the decimal form of $\frac{3}{7}$.

a2c8013f67c740bb813e2cff828c7cc3

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short_answer

Eddie and his friends went jogging. Eddie ran $15$ km, Jenny ran $10$ km, and Jason ran $8$ km. How far did they run on average?

b6a2b577b4e5470188401b67b822af20

2

short_answer

There are $3$ same biographies, $4$ same science fictions, $2$ same magazines, and $2$ same practice books. Joe wants to put them in a line in his bookcase. How many different ways are there for him to put these books?

1a4d0a08fad44f9ebb6ae96dbaae9f12

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short_answer

Jane had $$32$$ ℓ of water more than Audrey. If Audrey had $$177$$ ℓ of water, how many litres of water did both of them have?

7b9c62b20e00466b99795e4987d051bd

1

short_answer

There are $$50$$ grams of a $$11 \%$$ sugar solution in bottle $$A$$ and $$50$$ grams of a $$47 \%$$ sugar solution in bottle $$B$$. How much solution can be exchanged between bottle $$A$$ and $$B$$ to make them have the same sugar concentration?

e81380a3834146729a81c2bca69516e4

1

short_answer

Nick and Tom cut pieces of string. Nick's string is $$25\text{cm}$$ longer than Tom's. Tom's string is $$13\text{cm}$$ long. What is the difference in length between their pieces of string?

ee22231baefc4e1bace6954a18c6dfd1

1

short_answer

Eighteen of students in the class choose chicken tenders for lunch. There are $$50$$ students in the class. What is percent of students choose the chicken tenders?

8a1f5a78534245b78c14a7d808df202e

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short_answer

A vegetable plot is $20$ metres long. Cauliflowers are planted in a row down the length of the plot. They are planted $40 \text{cm}$~apart and the first cauliflower is planted $20 \text{cm}$~from the end. How many cauliflowers can be planted in a row?

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0

short_answer

What is $$0.2\times0.3$$? ANSWER~\uline{~~~~~~~~~~}~

8d16df72513e48ce9cf5c5768ac94b3b

2

short_answer

How many different three-digit numbers can be made with cards that have $$1$$, $$3$$, and $$6$$ on them? (Cards can be rotated)

b00dd9facbe04160a2ed274649dd7571

1

short_answer

Fill in the box. $$8\times \square+3=75$$

dd2b5176641b47188cb8bc10cc18c3dc

1

short_answer

If we want to divide $15$ pieces of candy into $4$ piles with different numbers in each pile, how many different ways can we divide them?

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1

short_answer

If a prime number that adds $6$ or subtracts $6$ is still a prime number, how many of these prime numbers can you find within $50$? Write them down.

c87b5329b55a4badb42841d47bba1a1c

2

short_answer

Lucy, Peter, Edmund and Susan shared £$120$. Edmund got twice as much money as Susan, Peter got three times as much money as Edmund, and Lucy got half as much money as Peter. How much money did Lucy get?

d45dd29337134aa9b9314275c5f2b31a

1

short_answer

What is $30 \%$ of $250$.

148b423200fd4f4f9cc3cfed406293e0

1

short_answer

Add together $3.7$~metres and$ 64 \rm cm $ and then subtract $2$~metres $7\text{c}m$. Give your answer in metres.

8ae8aebcd931414896cbbb9d92a27fa1

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short_answer

A shop sells bananas and pears. Max buys $1$ banana and $2$ pears. He paid $94$p. Emily buys $1$ banana and $1$ pear. She paid $62$p. How much does $1$ banana cost?~\uline{~~~~~~~~~~}~p

45d85cbefb344a0a875c5e59df47d4f3

1

short_answer

Write down the next number in this sequence $1, 2, 3, 5, 8, 13, 21, \cdots \cdots $

0b1752605b164c48b0814af3beffe291

1

short_answer

$$19+23+19+22+20$$．

0807a5b8035f428595efa3d05b37f60b

2

short_answer

There are 59 black rabbits, white rabbits and grey rabbits on the grassland. The total number of black and white rabbits is 11 more than the number of grey rabbits. The number of black rabbits is 9 less than the white rabbits. How many white rabbits are there?

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short_answer

A box contains $$48$$ pieces of fruit. Five eighths of them are apples and the rest of them are pears. How many pears are there?

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short_answer

In the sequence of numbers $1$, $2$, $4$, $8$, $16$, $32$, $\cdots \cdots$ ~what would be the answer if you divided the $20^{}\text{th}$ number in this sequence by the $17^{}\text{th}$ number in this sequence?

4de7bc9127b844c8845810ad2db2dd1b

1

short_answer

Given that the sum of two positive integers is $$35$$, find their largest possible product.

bdfb73d963c14ec7bac25b679d5d5735

1

short_answer

A cleaner earns an average of $$$70$$ a day. Find the total amount he earns in a week if he works from Monday to Saturday.

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1

short_answer

Change $$4.6$$ minutes into seconds. Answer~\uline{~~~~~~~~~~}~

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1

short_answer

Alice, Becky, and Crystal have an average of 60 books. If count Dennis in, the average number of book the each person has increases by 10. How many books does Dennis have?

873caeb39b18425fa3cf21cb40505ac6

1

short_answer

A snail wants to climb out of a $$16-$$metre burrow. It climbs up $$5$$ metres during the day and slides down $$3$$ metres at night. Exactly on which day can the snail climb out?

9eefa1dbad6349a090e42d50a09d87fd

1

short_answer

What is the product of the smallest two-digit prime number and the largest two-digit square number?

515f9b66abd142d0bd65c4a91de0a79a

2

short_answer

Think Academy is organising a Sport Day. Teacher Nicole wants to place the flag along the field. She needs to make sure that the flag are place in a consistant distance between $$2$$ flags. Lucy is curious about the distance between $$2$$ flags. Techer Nicole tells her that the distance between the 1\textsuperscript{st} and 4\textsuperscript{th} flag is $$9\text{m}$$. What is the distance between the 1\textsuperscript{st} and 9\textsuperscript{th} flag?

c852142aceb043f5b55cd004438cf7a6

1

short_answer

Darren has a box of $700$ beads. He uses $27$ beads to make one necklace. How many full necklaces can he make?

53411c78458748e1ab1aa5ff7a2ef692

1

short_answer

John buys a Pikachu model, which is $$19.6\textasciitilde\text{cm}$$ height. Mike buys another Pikachu model with different height. The ratio of John\textquotesingle s model height to Mike\textquotesingle s model height is $$2:3$$. What is the height of Mike\textquotesingle s Pikachu model?

00d0ef22036440bfba46cf90f1e51a5a

2

short_answer

Candy has $233$ chocolate bars and she wants to divide all chocolate bars to her students. Her smart student, Michael, finds that Candy cannot divide all chocolate bars to all students evenly. Is Michael correct or not? (The number of students is greater than $1$ and less than $233$.)

6927ac3bb6f64f89b5830b5fccd79ae6

0

short_answer

I am a number with $$2$$ decimal places. The digit $$7$$ is in the hundredths place. The digit $$6$$ is in the tenths place. The ones place has a value of $$4$$. What number am I?~\uline{~~~~~~~~~~}~

cf4d33bf77d24115a787173fb7fe030e

1

short_answer

A ship travels at a speed of $$22$$ km/h in still water. The speed of the current is $$3$$ km/h. How long will it take the ship to travel $$200$$ km downstream?

56d8daf28c984740b59bdb2fd77882d7

0

short_answer

Calculate the sum below. $$19 + 6 + 12 + 13 + 21 + 4 + 8 + 17$$

6801a3acc18c476f8557f9869fe2dd0a

1

short_answer

Eddie get some peaches for Class A and Class B. If all peaches are given to Class A, each student can get $5$ peaches and there will be $10$ peaches left. If all peaches are given to Class B and each student can get $8$ peaches, we will need $2$ more peaches. It is known that Class A has $3$ more students than Class B. How many peaches does Eddie get?

6a0c0299b8e74741b435eee435724ca3

1

short_answer

At Think store, a pencil costs $2$ dollars and a pen costs $4$ dollars. Owen bought some pencils and Oscar bought some pens. If Owen wants to trade a pen from Oscar, how many pencils should Owen give Oscar?

63233813070f46b2ac40a6c1b5bc9b6c

1

short_answer

There are $10$ questions in a science competition. A person gets $6$ points for a correct answer and loses $2$ points otherwise (getting a wrong answer or skipping a question). Justin answers all the questions and gets $36$ points. How many questions does Justin answer correctly?

c824a5b0a4384dcc938f65073d4a8794

1

short_answer

Johnson is planning to go to France for his summer vacation. He can take either a train, a bus, or a plane. Each day there are $$4$$ trains, $$3$$ buses, and $$2$$ flights available. How many different ways can Johnson choose to go to France?

3e88caa587c24fdea4f8a57b8dbd78f8

1

short_answer

$$9.95-2.6-3.412$$ =

30ec79644d524ec291def656fb45df08

1

short_answer

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

d3732a99f6ef4521b3a6328c710459fd

1

short_answer

$78.2-31.45+5.245-2.3$=

1fd49a79b84a47ae801b6ede661a42f2

2

short_answer

An party has $7$ dancing and $3$ playing a sketch performances. Mike is deciding the order of these performances. If he wants to put at least $1$ dancing performance between every $2$ playing a sketch, how many different ways are there for him to arrange these performance?

20389c4707d0488a9cd27afb2d7c45ed

1

short_answer

Given that $\frac{28512}{h}$ is a cube number, determine the value of $h$.

d8669bc3a70344f58225403abd0196e9

2

short_answer

SASMO 2017 Bart has an M\&M\textquotesingle s chocolate pack with 3 red M\&M\textquotesingle s chips, 4 yellow M\&M\textquotesingle s chips and 5 brown M\&M\textquotesingle s chips.Bart wants to get 2 M\&M\textquotesingle s chips of different colours without looking. What is the smallest number of M\&M\textquotesingle s chips he needs to take out to make sure that he gets what he wants?

a5e7e019fb4d4c0080d3bb8fee16309b

1

short_answer

$$7$$ friends $$A$$, $$B$$, $$C$$, $$D$$, $$E$$, $$F$$ and $$G$$ went for dinner together. In the restaurant, there was a round table with $$7$$ chairs labelled with each of their names. They entered the restaurant in a random order. Each person will always choose not to sit on their own chair where possible. How many different possible ways of seating are there?~\uline{~~~~~~~~~~}~

688bd3546a274323aedfd728fc91d0e1

1

short_answer

Thinkhub holds a welcome party for the new term. Ten families attend this party, and each family has a father, a mother and a child. Each father shakes hands with all the people from other families. Each mother only shakes hands with all the fathers and children from other families. Each child only shakes hands with all the fathers and mothers from other families. How many handshakes occur among these $$10$$ families?

980c93de91ea458b9c9e8248ad74e8b5

1

short_answer

Calculate: $$31415926^{2}-31415927 \times 31415925$$．

e7684856f58240ceb07efec4b2d70e70

1

short_answer

Counting from the front, Mark was the $${{8}^{\text{th}}}$$ in a queue. Helen was the $${{9}^{\text{th}}}$$ from the end of the queue. There were $$6$$ children between Mark and Helen in the queue with Mark in front of Helen. How many children were there in the queue?

b4bdf164e10c4b1b9d4e3c8fbc8fb268

2

short_answer

How many $3$ digit numbers are there where all $3$ digits are odd?

6601fcfffa994bc9b56b9f035024b14a

1

short_answer

In the decimal part of $$0.\dot{8}527\overset{\centerdot }{\mathop{4}} ,$$, what is the $79\text{th}$ digit?

af4a763c71d14bfc86469b27fffda5d7

1

short_answer

Add $$2009$$ to a three-digit number so that it is divisible by $$17$$ and $$19$$, what is the largest of the three-digit numbers added?

a082a5ee490e4087b147b853ed2e0705

1

short_answer

In the college parking lot, each employer is allotted $40$ free hours of parking per week. After that, they pay $5$ dollars per hour up to $50$ hours, $8$ dollars per hour from $50$ hours to $60$ hours, and $15$ dollars for each hour after that. An employer received a parking bill of $82$ dollars for the week. How many hours did he park his car in the parking lot?

700ddae7c261440e8dfef14d11e42592

1

short_answer

The page numbers of a book are $$1$$ to $$62$$. Tim adds up the $$62$$ page numbers. In his calculations, he misses a page number and the sum is $$1939$$. What is the missing page number?

87f7b53af1c7449bb3a1c8c021923671

1

short_answer

There are $$4$$ red, $$7$$ green, $$6$$ blue and $$2$$ orange marbles in a bag. Jane is blindfolded. At least how many marbles must be drawn to ensure that there are $$4$$ different coloured marbles?

18a332d1534047ebbe0fc807217bdfa9

1

short_answer

At my local greengrocer, you take a ticket from the machine and wait until your number is called. The roll of tickets goes from 000 up to 999. When I was there last week with my neighbour, we took two tickets in a row and our two numbers added to 777. What was the next ticket number after ours?

c73a9fe2a1a84b32b28f07fc9fc2e630

2

short_answer

Jimmy wants to climb up a flight of stairs with $$10$$ steps. He can either climb one, two or three steps at a time. However, he has to avoid the fifth step on the stairs as it is muddy. How many different ways can he climb up these $$10$$ steps?~\uline{~~~~~~~~~~}~

1b42b4b26b2a4a84918723d849472aa1

1

short_answer

You bought a car for $20,000$ dollars. The car depreciates at the rate of $10 \%$ per year. Find the value of your car after $5$ years. ($1.1^{5} \approx 1.61051$ and $0.9^{5}\approx0.59049$)

8b84d4c8e6d6433bb169eac92ff0c74c

1

short_answer

Change~$\dfrac{5}{16}$ into a decimal.

031cd0de1ee64e169848ce69d7f5b3ca

2

short_answer

Sam wants to place a fence all around his garden, which is shaped like a rectangle. The garden is 5m long and 3 m wide. What is the total length of fence that Sam will need to place around his garden?

71b17521447249e196a0f8b18fb89aa3

1

short_answer

James earns an average of £$$60$$ a day. Find the total amount he earns in a week if he works from Monday to Sunday.

5fdb62b3b2ec43a38c6fad9527ab2e7c

2

short_answer

Find $x$．$5x-2x+7=6x+4x-14$．

d756434ccb6b454cbe50d5d2de90751a

1

short_answer

Which number is one hundred less than three thousand and sixteen?

fcad283a7a1f427793d6d2d9b3d1a441

1

short_answer

The total of five different, positive odd numbers is $85$. What's the most that the largest number could be?

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1

short_answer

$23.2 - 14.7$

2d070af2dcd74f2ca39de8161148fb7d

1

short_answer

In Think State, the income tax is calculated at $$T \%$$ of the first＄$$30,000$$ in annual income. The income tax of any amount above $$$30,000$$ is taxed at a rate of $$\left( T+3 \right) \%$$. Ryan noticed that the income tax he paid amounted to $$\left( T+1 \right) \%$$ of his annual income. What is his annual income?

fec0efe56cd043f2ae93914883589ff6

1

short_answer

Circle the number in the list below which is closest in value to $$1$$. \textbf{$$0.993$$~ ~ ~ $$1.006$$~ ~ ~ $$1.1$$~ ~ ~ $$0.94$$~ ~ ~ $$0.99$$}

e8e9b50054f946dcb1b7e07440b9d29f

1

short_answer

A ship travels at a speed of $$88$$ km/h in still water. The speed of the current is $$12$$ km/h. How long will it take the ship to travel $$500$$ km downstream?

40d0f97fc5af4ba79f1e1007a926a66b

0

short_answer

\textbf{$$n$$~}is the number of seconds in two and a half minutes. \textbf{$$n=$$~\uline{~~~~~~~~~~}~}

e23c6ff29b964509baa268af08cccfb5

1

short_answer

There were twenty-one $$20$$$-$cent and $$50$$$-$cent coins in my piggy bank. Their total value was $ $6.30$. How many $$50$$$-$cent coins do I have?~\uline{~~~~~~~~~~}~

16aa6cb964434e138d37f5f5467ea1c6

2

short_answer

Alan and Phillip start at the same time and walk from $A$ to $B$. It takes Phillip $12$ minutes to arrive at $B$. Phillip walks $15$ meters more than Alan does per minute. Given that Phillip arrives at $B$ $3$ minutes earlier than Alan does, find the distance between $A$ and $B$.

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1

short_answer

213 coins are shared equally among 5 children. How many coins are left？

a7ab5e95b20b449aae26b7bc5ce0f53b

2

short_answer

There are $20$ students in a group, including $8$ girls and 12 boys. Teacher wants to pick 4 girls and 3 boys to participate in the competition. How many different ways are there?

f3b90fc112134c11bf16c053ec5b9bb5

1

short_answer

How many perfect square numbers are there in $$2, 25, 255, 2555, 25555\cdots $$?

0dcc886d48d14da3a0ba1c786f23c05c

1

short_answer

Alice and Tom each had some money. After Alice spent $$$36$$, she had $$$25.40$$ less than Tom. If Tom had $$$68.10$$, how much money did Alice have at first?

e4cf51421424479896c2cc37d2e05235

1

short_answer

The mean (average) of five numbers is $28$.~ The mean of a different set of twelve numbers is $11$. Calculate the mean of all of the numbers together.

1dc393d01ecf4792b3b72098c4cdff99

0

short_answer

A book usually costs ￡$$15.40$$ but it is reduced by $$20 \%$$. How much does it cost now?

d3a5ba15a4034a49afce92beb5409bf9

1

short_answer

There are $$9$$ benches in the park, which have the same length. They are placed on one side of the road every $$7$$ meters from end to end. Given that the length of the road is $$74$$ meters, how long is the bench?

a16e80d24e034bddb8280d950f5a08b1

3

short_answer

Miss Jenny is separating some candies for class A and class B. If each student in class A gets $4$ candies, $20$ more candies are needed. If each student in class B can get $6$ candies, there will be $16$ candies left. It is known that the number of students in class A is twice of class B. How many candies does Miss Jenny have?

9bb5ada2b3c4496bbf433bd138e2e0ae

2

short_answer

Peter defeated an octopus bugbear by cutting off all its arms. Once he cut off $5$ of the octopus\textquotesingle{} arms, one new arm would immediately grow. In total, Peter cut $21$ arms. How many arms did the octopus bugbear have originally?

0f7063d1e1484313ab5cf6b5f0420c06

1

short_answer

Given that $$10$$ different whole numbers add up to $$2021$$, and the $$3$$\textsuperscript{rd~}greatest number is $$246$$. What is the minimum value of the $$4$$\textsuperscript{th~}greatest number?

c8155e9c63f74065a3befe7a41ec8e68

1

short_answer

There are $$6$$ gold and $$6$$ silver coins in a wallet. Without looking into the wallet, at least how many coins must be taken out so that there will definitely be $$2$$ \uline{different} coloured coins?

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1

short_answer

The distance from the $1$\textsuperscript{st}~tree to the $5$\textsuperscript{th}~tree is $20$ cm. What is the distance from the $8$\textsuperscript{th}~tree to the $14$\textsuperscript{th}tree?

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1

short_answer

How many of the natural numbers from $$1$$ to $$24$$ can be selected at most to form a circle such that every two adjacent numbers are not mutually exclusive ?

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3

short_answer

A textbook has $$510$$ pages and it is numbered from $1$ to $$510$$. The digit $5$ is printed~\uline{~~~~~~~~~~}~times in numbering this textbook.

ceb847740b284e4291e28c8612c7623e

1

short_answer

Jasmin can ride a bike at a constant speed of $60$ meters per minute. How many meters can she ride in $150$ seconds?

b2c8b37b16bc4b09830fda1738de61da

1

short_answer

Calculate: $$38\times 32+37\times 33+36\times 34$$

a7d31aaf346e44cc80aea145f699fb6c

1

short_answer

Qing Qing has $$6$$ more sweets than Kevin. Kevin has three times as many sweets as Pip. Pip has $$7$$ sweets. How many sweets do they have in total?

81817e35e8504d14a4853709b3f0f4bc

1

short_answer

Devi is $$8$$ years older than Jerry. In $$4$$ years\textquotesingle{} time, the ratio of their age will be $$5:7$$. What is the age of Jerry now?