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ce53d4f8e44943daa525defbe2c3fe07

1

short_answer

Last season a football team won~$\dfrac{2}{5}$~of their matches and drew $\dfrac{7}{20}$~of their matches. They lost $10$ matches. They were awarded $3$ points for a win, $1$ point for a draw and no points for a loss. How many points did this team have at the end of the season?

5cbbe117fdc24fd7b9a7955d77adea5e

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short_answer

Johnny is working on his math homework. ~\uline{~~~~~~~~~~}~$$\div $$ $4$ = $9$ R $2$ The following is his solution: $9\times2$ = $18$ $18+4=22$ Answer = $22$ Is his answer correct? If not, circle out his error and write out the correct working.

87ae32b6102741f1b5918d4117319755

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short_answer

40-38+36-34+32-30+$\cdots$+4-2

b7a661c038da48b0a38328c3af3f8724

1

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?

c76c8db1463743adbd53ed8b96efcbd5

1

short_answer

Anokhi buys $$4$$ chocolate bars at $$75$$p each and $$3$$ pens at $$95$$p each. How much change does she receive from a £$$10$$ note?

162b4dfb6c85480ab3fa57a6c7291de2

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short_answer

A TV costs $4200$ dollars. The store lowered its price by $$10 \%$$ at first, then lower the price by $$20 \%$$ later. What is the price of the TV now?

0eb584e3f8a14f75a374964af3070d71

2

short_answer

There are $$8$$ numbers and their mean is $$555$$, the mean of the first $$3$$ numbers is $$296$$ less than the mean of the last $$5$$ numbers. What is the mean of the last $$5$$ numbers?

cf531f6537954b0c9eb9ebd7c0cea500

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short_answer

Sophia is counting by twos. She starts at 2 and crosses it out. Each time she counts to a new multiple of 2, she crosses it out on her hundred chart. How many multiples of twos would she have crossed out in her chart when she finishes counting by twos to 100? insert pic

fbdb47198fdf4306a9847b12bf333226

2

short_answer

Vicky has 99 stickers. She has 3 less than 6 times as many stickers as Timmy. Kevin has 32 more stickers than Timmy. How many stickers does Kevin have?

7f70404ac5f74504a1cfebab700ec8a5

2

short_answer

Five people can build a bridge in $15$ days. How many more people are needed to build the bridge in $5$ days? (Assume that all people work at the same rate)

70f5ff9ddd8c4370b2cfb94de5a970ab

1

short_answer

There are $5$ footballs in one basket. How many footballs are there in $7$ baskets?

b88c740d29b747828949ce062283a33f

1

short_answer

There are $$20$$ children in a queue. Counting from front to back Pip is the $$3^{\rm rd}$$ in line, Bud is behind Pip and there are $$5$$ children between Pip and Bud. In which position is Bud from the end of the queue?

cd9d85bed1d74e6cb214e001f0a094e3

3

short_answer

Rasidah had $$$48$$ less than Chai Seng. Rasidah spent~$\tfrac{3}{5}$~of her money and Chai Seng spent~$\tfrac{6}{7}$~of his money. In the end, Chai Seng had~$\tfrac{1}{2}$~as much money left as Rasidah. Find the amount of money Rasidah had at first.

312d3c547d294d18b1e263e554e02de1

2

short_answer

Isaac is 53 years old. His mother is 81. How many years ago was Isaac\textquotesingle s age one third of his mother\textquotesingle s age then?

21b6e23a4408430bbf4acc393c601243

2

short_answer

（UK Emanuel School Entrance Examination Year $7$ Entry Question \#$28$） When my grandma\textquotesingle s age is divided by $4$ there is a remainder of $2$. when her age divided by $5$ there is a remainder of $3$. But when her age divided by $9$ there is a remainder of $6$. How old is my grandma?

df16de37f8d64768a0f4c9b79d33d31e

1

short_answer

$$\approx $$ means approximately equal to. Given that $$1$$ kilogram ($$\text{kg}$$)$$\approx $$$$2.2$$ pounds ($$\text{lb}$$), convert $$154\text{lb}$$ to $$\text{kg}$$.

ecbf3f006c6147d3aaf09f392d5a387e

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short_answer

Observe the following: $$1\oplus 5=1+2+3+4-5$$ $$3\oplus 8=3+4+5+6+7-8$$ $$5\oplus 9=5+6+7+8-9$$ Find the value of $$\left( 5\oplus 10 \right)-\left( 4\oplus 9 \right)$$.

35167ef06b9844828843e2c87be8c949

1

short_answer

Calculate: $$35+18+26+22-16+25=$$

791c504e967a47a3a7621807a53b47c8

1

short_answer

Elena is $$500$$ metres behind her cat. Elena can run at $$8$$ m/s and her cat can only run at $$3$$ m/s. How long does Elena take to catch up with her cat?

1754095281684c188e6216f11d4caff3

1

short_answer

Use the digits $$1$$, $$2$$, and $$3$$ to make three$$-$$digit numbers without repeating digits. How many three$$-$$digit numbers can be formed?

83dbbf7b91904b22b7e2f875718cafe1

1

short_answer

A prime number plus $$6$$ or minus $$6$$, the resulting number is still a prime number. How many such prime numbers are there within $$20$$?

6a3017d012a04a6c9f0ed680b9bf9a09

1

short_answer

Write down the next number in this sequence $8, 20, 31, 41, 50,\cdots \cdots $.

3c78e8e403284c9486c1fe552fdb5004

0

short_answer

$$58-(6x+2)=20$$. $x=$．

9f5fc79092f442618d0ed912989d3195

1

short_answer

Mike wrote the digits $$1$$, $$2$$, $$3$$, $$4$$, and $$5$$ on some cards. How many ways can he arrange the cards so that he makes a five-digit even number without repeating digits?

b3a3839d65e84a9eb609756270102de4

2

short_answer

The sum of the digits of a 2-digit number is 15. What is the smallest possible such 2-digit number?

71a76491c3df48ae9b18543d4e5cc354

1

short_answer

Eight apples are placed in a bag. The mean weight of the eight apples is $$\rm 50g$$. When an extra apple is added the mean weight increases to $$\rm 52g$$. What is the weight of the extra apple?

0ba3b59c0bfb4c87ae2d34a874d2d690

1

short_answer

There are $$250$$ lamps in a room, numbered with the natural numbers $$1$$, $$2$$, $$\cdots $$, $$250$$, and each light has a switch. At the beginning, all the lights are off. There are $$250$$ individuals who enter the room in turn. The $$1st$$ person enters the room, presses all the switch of the light , and then he leaves. The $$2nd$$ person enters the room, presses the switch for the light numbered in multiples of $$2$$, then he leaves. So on until the $$250th$$ person enters the room and presses the switch for the light number in multiples of $$250$$. After the $$250th$$ person left the room, how many lights were still on in the room?

dd2fcc192d2f4c3dbf232e72bcb19fa6

1

short_answer

For what value of $x$ is the equation $\sqrt{-x}=4$ true?

287a2d46ffa247fc9ad946e5c0911c54

1

short_answer

Find a shorter method to calculate this. $$99+98+97+96 = $$~\uline{~~~~~~~~~~}~

966d6206a5444394a2096b3a802b79a5

2

short_answer

A photocopier can finish copying a document at speed of $50$ pages per minute. Speed up the rate of the photocopier by $ 20$ more pages per minute, he will finish the job in $2$ minutes less. How many pages are there in the document?

f4b2a4d95a2f4145b73f56fb9ae21969

1

short_answer

Find the average of the following sequence. $$1$$, $$3$$, $$5$$, $$7$$, $$9$$, $$\cdots $$, $$195$$, $$197$$, $$199$$.

2bb2908692c1496e83c9da8633b98269

1

short_answer

Find the $$30^{\text{th}}$$ term of this sequence. $$6$$, $$10$$, $$14$$, $$18$$,\ldots\ldots{}

9adda98665dc499994e24f43869d3eea

2

short_answer

The date today is Monday $$28$$\textsuperscript{th} January $$2013$$. When is the next year in which the $$28$$\textsuperscript{th} of January will fall on a Monday?

939f1ef2920640e18e6791035bfe7f8a

1

short_answer

Work out $$5842 + 351$$

84e25013e5fb4deda35beda9f5782685

2

short_answer

There are some apples and oranges in a farm. There are $$194$$ more oranges than apples, and the amount of orange is $$4$$ more than $$6$$ times that of apples. How many oranges are there in the farm?

446707881fde4e908bf63228a9dc7ee5

2

short_answer

Find the least dividend and divisor in the equation below. ~\uline{~~~~~~~~~~}~$\div$~\uline{~~~~~~~~~~}~$=$8$R7$

c2cbf1f7958e4d09ae575ec083bddec8

1

short_answer

My age is a multiple of $3$. Next year it will be a multiple of $5$. l am between $20$ and $35$ years old. How old am I? ~\uline{~~~~~~~~~~}~

8488dbe7c4e548e79cc11b66f832cb46

1

short_answer

Every morning, Star goes out to exercise. At $$\rm 6:30$$ a.m., Star leaves home and jogs at a speed of $$6$$ miles per hour. At $$\rm 7:30 $$ a.m., Star feels a little bit tired and walks at a speed of $$5$$ miles per hour. At $$\rm 9:30$$ a.m., Star finishes her exercise. How many miles does Star travel in total every morning?

f94d81e4add44bbdb22df230a08a082f

1

short_answer

Sasa wants to count how much money she has in her piggybank. Originally, her mother gave her $$$20$$. She saved $$$1$$ everyday and had been saved for one week. She lent her brother $$$5$$ and spent $$$3$$ on buying some snacks. How much money she had left now?

c6742159f800490eb0db04916361e0a1

2

short_answer

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

196a119f90d9439aaddd24ed22d849f3

1

short_answer

Mark is organising a trip for his running club. He hires a coach which normally costs £$$400$$. The coach firm gives a discount of $$10 \%$$ on this amount. Mark shares the cost equally between the $$30$$ members of the club. How much does each member pay? You must show your working.

4e262975314040ab820a9ec130db1cb3

1

short_answer

A long distance calling plan charges $80$ cents for any call up to $15$ minutes long and $5$ cents for each additional minute. If it takes Ryan a total of $1.4$ dollars, how many minutes does the call last?

9cbab768b996487fafdce66ceab5b47e

1

short_answer

What is the last digit of the expression below? $$\underbrace{2\times2\times2\times\cdots\times2}_{2017} \times \underbrace{3\times3\times3\times\cdots\times3}_{2017}$$

f53f2f8694b148fdbea2cbce2274ad5e

1

short_answer

$$4\times$$~\uline{~~~~~~~~~~}~$$-13=55$$

b2659c11d02e40ed86b49d179fd937b1

1

short_answer

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

e50577a37b7c4a59a13a3b048ce98118

1

short_answer

There are $$255$$ boys and $$234$$ girls in David\textquotesingle s school. How many students in David\textquotesingle s school in total?

ffcf1702672046df8e86e7270234c92d

1

short_answer

Sara thinks of a number. She subtracts four, then divides by two and then adds eleven. Her answer is $37$. What is the number that Sara first thought of?

2c68e4214ff54f85956ee7cc54457f0e

1

short_answer

How many multiples of $$5$$ are there between $$56$$ and $$120$$?

03cf341346924ba7a563f01f54c2a13f

1

short_answer

Find the value of $x$. $35=10-2x+7x$

77ab09536f3247d9bbce6ad4688ccf88

1

short_answer

On 10\textsuperscript{th}~May 2005, Gina was 50 years old. James was 20 years old on 10\textsuperscript{th}~May 1997. How old was James when Gina was 35?

701a44d04fe2471b8b3b4a02034c3aed

1

short_answer

Write ten thousand and thirty-four using digits

ae56d2e7b43c4bd68b65a028a92a6651

0

short_answer

How many quarters are there in $$2\frac{1}{2}$$? ~\uline{~~~~~~~~~~}~

8aad358e912f47108a9715343902ea04

1

short_answer

Lucy and Eddie are standing in a line to buy chocolate cake. Lucy is the $$5$$\textsuperscript{th} in line counting from front to back, and Eddie is the $$9$$\textsuperscript{th} counting from back to front. There are $$2$$ people standing between them. Lucy is in front of Eddie. How many people are standing in the line?

59d86540e8a94f73833a04f93b4465f1

2

short_answer

If $$\overline{26B789}$$ is divisible by $$13$$, find the value of $$B$$.

f0cc63d487f641d6828e61eaf1fc53c8

1

short_answer

The remainders of a number divided by $3, 5, 7$ or $8$ are four different prime numbers. What is the smallest possible value of the number?

fe803c1367d64b149801be4344758226

1

short_answer

A roll of cloth is $11$m $74$ cm long. $5$m $8$cm is cut from it to make a dress and the remainder is cut into $9$ equal stripes. What is the length of each stripe of cloth?

47825c0910a244f4bdcd974186bcaefe

1

short_answer

I think of a number, add $4$, multiply by $7$ and subtract $21$. The result is $35$. What number did I start with?

58e3a2db56754c6f9d5e40fe1b58ffe7

2

short_answer

At a florist, there was a total of $$3616$$ orchids, tulips and roses. The ratio of the number of orchids to the number of tulips was $$3:5$$.~ After $$40 \%$$ of the orchids, $$\frac{1}{5}$$ of the tulips and $$25 \%$$ of the roses were sold, there were $$2644$$ flowers left in the end. How many orchids were there in the florist at first?

a56cc128d0da4c10987a8d45533419d8

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?

4fbf262896eb43f0886f401236b6a692

2

short_answer

There are two numbers, A and B, their sum is $$130$$. If the value of number A is $$4$$ more than five times that of number B, What is the value of number A?

2a6b8ddd03b04d6ca675e0515ac48c3f

2

short_answer

Calculate: $$20.23\times 39+202.3\times 4.1+4\times 101.15=$$~\uline{~~~~~~~~~~}~

76f0b59b2fe34356a29cea5b4f171d3b

1

short_answer

Tanya spent $$ $336$$ in total on some books and files. She bought $$14$$ more books than files. Each book costs $$ $12$$ and each file costs $$ $9$$. How many books did she buy?

488360b26f1144849d4bb784a270ca57

1

short_answer

In the pasture, there are some chickens and rabbits. The total number of chickens and rabbits is $$10$$, and there are $$34$$ legs in total. How many chickens are there in the pasture?

bdc6e2ddbb4c4c19b2b90c3c89e0ae05

1

short_answer

Work out $0.012 + 2.03 + 0.1456$

8a42b93556ef4bcebb38b2ba338a9e1d

1

short_answer

$60.2 \div 7$

49714794b0f94aada1cf3dfbf03a6990

2

short_answer

What is the ones digit of the result of $${{1}^{2013}}+{{2}^{2013}}+{{3}^{2013}}+{{4}^{2013}}+{{5}^{2013}}+{{6}^{2013}}+{{7}^{2013}}+{{8}^{2013}}+{{9}^{2013}}$$?

a7d1fbe2679e40b58d6660db0ed3287b

2

short_answer

（UK Emanuel School Entrance Examination Year $7$ Entry Question \#$28$） When my grandma\textquotesingle s age is divided by $6$ there is a remainder of $2$. But when divided by $7$ there is a remainder of $5$. My grandma\textquotesingle s age is between $30$ and $120$. How old is my grandma?

4073b71163494881a2c9c5629d8b16a5

2

short_answer

There are $$2$$ red socks, $$2$$ blue socks and $$2$$ black socks in a drawer. How many socks must Peter take out in total darkness, before he gets two socks of the same colour?

6a58abe1371844c497a2ad82064a0ebd

1

short_answer

Japan time is $$7$$ hours ahead of France. Amy started her flight from Japan to France at $$8$$pm of $$2$$nd July and arrived France at $$1$$am of $$3$$rd July. How long did the flight take?

c2819474faa94700a66e972f6de65651

0

short_answer

There are three numbers each represent by one of the symbols $$\square, \triangle, \diamond$$. Given that the following statements are true, what number does $$\diamond + \square$$ represent? $$\square + \triangle = 10$$ $$\triangle + \diamond = 16$$ $$\square + \triangle + \diamond = 22$$

29659ea8c8ba40fcbfd094b963998970

1

short_answer

A science textbook has $131$ pages. How many digits are used in numbering these pages from $1$?

adae7d5f0cb94d7e81c361caadeeff21

1

short_answer

Amna takes a test with $$50$$ questions. Four marks are given for each correct answer but one mark is taken off for each question she gets wrong. If Amna scores $$168$$ in the test and doesn\textquotesingle t attempt $$3$$ questions at all, how many questions did she answer correctly? (There is no penalty for not attempting a question in this test that Amna takes)

6fc358af07bb4fb290d8b7b95d0d4815

2

short_answer

The total cost of $$9$$ similar necklaces and $$5$$ similar earrings was ＄$$1440$$. The total cost of $$2$$ such necklaces and $$3$$ such earrings was ＄$$439$$. Find the total cost of $$1$$ necklace and $$1$$ earring.

b89eb8f48467425ca5d1e6474cae3be8

1

short_answer

Eugene had $5$ times as many coins as Sid. After Eugene used $$71$$ coins and Sid used $$16$$ coins, they had $51$ coins left altogether. How many coins did Eugene have at first?

b658611043604a84904809a513eca7b0

1

short_answer

The sum of two numbers is $$71$$. The difference of the two numbers is $$9$$. Find the bigger number.

d8d8fba2232a4e928731d18f9af5290b

1

short_answer

How many $$2-$$digit numbers can be formed using $$0$$, $$1$$ and $$2$$? (The digits can be repeated.)

9638aa4f9615400687f09c8801020eb6

1

short_answer

$391 \times 7$

b99e232169f64053801fd886d5ce3984

1

short_answer

The sum of five consecutive even numbers is $200$. What is the smallest of the five numbers?

8dea568bfc0f47a88a18a150964ebdd8

1

short_answer

There are two containers, $$A$$ and $$B$$. Container $$A$$ has $$50\text{g}$$ of water with $$10 \%$$ concentration of sugar. Container $$B$$ has $$30\text{g}$$ of water with $$20 \%$$ concentration of sugar. The same volume of sugar solution is removed from each container and transferred between the two containers, resulting in the concentration of sugar in both containers to become the same. Find the volume of sugar solution transferred in grams.

a137655c79064ec7a5bd8abbf2cc059d

3

short_answer

Calculate: $$\frac{100}{97}+\frac{100\times 99}{97\times 96}+\frac{100\times 99\times 98}{97\times 96\times 95}+\cdots +\frac{100\times 99\times 98\times \cdots \times 5\times 4}{97\times 96\times 95\times \cdots \times 2\times 1}=$$~\uline{~~~~~~~~~~}~.

5e71c6a0c7254d3ab8b549338d61acff

0

short_answer

Katie needs $$8$$ minutes to cut a piece of wood into $$5$$ sections. If her cutting speed remains the same, she needs~\uline{~~~~~~~~~~}~minutes to cut the piece of wood $$6$$ times.

f22bedb58be24a40a4d182dd0dbc7ffc

1

short_answer

Mark, Nicole and Peter are running for Head Prefect. $$120$$ students are involved in the voting. Mark has $$22$$ votes so far, while Nicole has $$27$$ and Peter has $$35$$. How many more votes must Peter get to be elected for the position?

3aa75c8b30a54c67a6563a2056fe6973

1

short_answer

A school has $$995$$ pupils. If there are $$7$$ less girls than boys, how many boys are there in the school? ~\uline{~~~~~~~~~~}~

92a0e5f9500b4853819d540562be1a80

1

short_answer

Calculate $87 \times ~23$

2084c341f98040dbb7686adc74b457f7

0

short_answer

Circle\hspace{0pt} \hspace{0pt}the\hspace{0pt} \hspace{0pt}number\hspace{0pt} \hspace{0pt}which\hspace{0pt} \hspace{0pt}has\hspace{0pt} \hspace{0pt}the\hspace{0pt} \hspace{0pt}highest\hspace{0pt} \hspace{0pt}value\hspace{0pt} \hspace{0pt}of\hspace{0pt} \hspace{0pt}units.\hspace{0pt} \hspace{0pt} $$31$$~ ~ \hspace{0pt} \hspace{0pt} \hspace{0pt} \hspace{0pt} $$\hspace{0pt}32$$

4517703a55ee4695b02b8505817748b1

1

short_answer

(UK St Paul's Girls School Sample Paper Section $B$ Question $$2$$) My money box contains an equal number of $5$p, $10$p and $20$p coins and no other coins. How many coins are there altogether if there is $￡4.90$ in the money box?

590bcb8900904fe88f3fadadb68feb11

1

short_answer

A TV normally costs £$540$ but is reduced by £$189$ in the sales. What is the percentage reduction?

038a870a64fa4b908242c675e09c8860

1

short_answer

A boy ate $$135$$ sweets in nine days. Each day he ate $$3$$ more than the day before. How many sweets did he eat on the last day?

27fec67c0edf42efbd46038d592d002b

1

short_answer

Fawzan went shopping with £$100$ in his wallet. He spent $10 \%$ of his money on a book and $20 \%$ of the rest on a DVD. How much money did he then have left?

892ff0f234ae4e3cb7a7bf750eb3a01d

1

short_answer

Annie has $$ $28$$, she bought a gift for her friend that cost her $$ $20$$. How much money had she left? Please leave your answer in cents.

8f16804135244d3d952f4f7aa96aea99

1

short_answer

You deposit $1,000$ dollars in an account that pays $6 \%$ interest compounded yearly. Find the balance after $5$ years. ($1.06^{5} \approx 1.33823$ and $0.94^{5} \approx 0.73390$)

fa6e880afc1b420b858420333e657e2c

1

short_answer

How many digits are used for printing the page numbers of a book that has $$185$$ pages?

749213142ff9426e8ef90f3f3aa7daa5

1

short_answer

Andy\textquotesingle s salary is £$$24000$$ per year. He is paid the same amount each month. He is given a pay rise of $$10 \%$$. Calculate his new \textbf{monthly} salary. \textbf{Yau must} show all your working.

27c26de10eb14930ae9cdf02279d1e58

1

short_answer

$$10-3\left( x-2 \right)=4x-5\left( 4-x \right)$$, $x=$~\uline{~~~~~~~~~~}~.

3da2630a7c3042408936061a5d0172c6

1

short_answer

$7842 -- 998 =$

a8fa71f1af7245808f0ae42a4ff273b0

1

short_answer

Work out $704 -- 457$

a12c2b2900394c9999c189d1a33af5a3

1

short_answer

$$123-(23+56)=$$~\uline{~~~~~~~~~~}~

e6f07695c3c44ceda16250795d0df505

2

short_answer

Ashley and Betty are new friends. Ashley: Hi Betty, when is your birthday? Betty: Let my birthday month number times $$31$$ and day number times $$12$$. Then the addition of the two products will be $$376$$. Can you help Ashley to find out Betty\textquotesingle s date of birth? [Shade your answer in the form of "ddmm". For example: If your answer is $$27^{\text{th}}$$ June, shade the answer as "$$2706$$".]

0581d122126f4a8aa0564b99c14fdde4

1

short_answer

$$4.08\times20=1.08 \times20+\square \times20$$. What is the missing number in the box?

50997193003b42a5b1b612a65004742c

1

short_answer

Calculate: $$119+117-115+113-111+109-107+105-103+101-99=$$．