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5111af6f7b234a2a86f4a95d7fe4e3aa

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Mina put $$11$$ potted plants in a row from one end to the other end of the corridor. They were placed at an equal distance from one another. The distance between the first and the last potted plant was $$30 \text{m}$$. Later, Mina decided to remove $$8$$ potted plants. As a result, the remaining potted plants were rearranged from one end to the other end of the corridor at a new equal spacing. Find the new interval between each potted plants.

c10ff9a910b5472fa4b29fef9b93fe4f

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short_answer

It costs $14$ pence a minute to ring Paris. How much will a phone call to Paris cost which starts at $13:52$ and finishes at $14:05$?

8cf914f63b224541b0dbbd628dc0d76f

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short_answer

What is the sum of all factors of $$20$$?

df2923c88c0f4ff3b1ecc189c2f6e24f

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short_answer

Find $40 \%$ of $320$.

e3710402e52e4b1a92a506cba8e00a66

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short_answer

How many three-digit numbers contain only the digits 2 and 3, and each of them at least once?

1969baf23afa40a7baf0654943977371

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short_answer

If 17\textsuperscript{th} October is Tuesday. How many Sundays are there between 17\textsuperscript{th} October and 20\textsuperscript{th} December?

7b410b23a38b498c940b646f7eb41bbc

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short_answer

Pip bought a pen for £$$5.50$$ and a ruler for £$$7.60$$. How much does he need to pay?

3d380dd79fda442a8c27fd6f0f572e5b

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short_answer

Calculate: $251\times27$

5d4cb1405ca241f99a0798ad88be93f8

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short_answer

$$4$$ apples and $$3$$ peaches cost ~£$$10$$. $$2$$ apples and $$2$$ peaches cost ~£$$6$$. What is the cost of an apple?

d5a7ecbc1d6a47828162d5c281243895

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short_answer

A lady bought twice as many apple tarts than strawberry tarts. She spent an equal amount of money on each type of item. A strawberry tart cost $$$0.40$$ more than an apple tart. How many tarts did she buy altogether if she paid a total of $$$40$$?

89f3344c7d3f4ec385941566d34f211b

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short_answer

The Road Authority decided to use a new system for traffic lights. The traffic lights are arranged such that $3$ traffic lights turn green at the same time every $9$ minutes. The first traffic light changes lights every half a minute and the second traffic light changes lights every $0.75$ minutes. Determine the shortest possible time the third traffic light takes to change lights, considering that it should be at least $30$ seconds or longer.

293fd7b7273c4a2985a35719002a4df3

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short_answer

Work out $43 \times 16$.

bb8774542eff44078c1080ee1b832fa5

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short_answer

Pip and Bud go skiing with $$3$$ friends. There are $$5$$ skiboards, all of a different colour. In how many different ways can everyone pick their skiboards?

faa1d07aa4874b9ba6f33ab3636209e1

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short_answer

On Black Friday a book cost £$7.20$. Now it costs £$8.10$. What percentage increase does this represent?

35f8d27cbb554601999e2b7fe17736e9

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short_answer

Tim wants to complete a jigsaw puzzle. On the first day, he manages to fit $20 \%$ of the pieces of the puzzle. On the second day, he fits another $60$ pieces of the puzzle. As a result, the ratio of the number of fitted pieces to the number of unfitted pieces becomes $2:5$. How many pieces does the jigsaw puzzle consist of?

675eadedaada48a9974ff5a0fa4e1f98

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short_answer

There are $$26$$ children line up in a row. Henry is the $$18^{th}$$ child when count from left to right. Tony is the $$17^{th}$$ from right to left. How many children are there if we count from Henry to Tony?

88eda4595d1348ee82e97a6c5620dcdc

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short_answer

How many millimetres are there in $2$ metres?

8f0c9f7a6b3b4934bbef8a5ff5370595

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short_answer

What percentage of the integers $$1$$-$$100$$ inclusive are not a multiple of $$10$$?

eccd3a25ed1441c68e1a0cbcad3fe748

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short_answer

Neil lends Rodger ￡$$4$$. Rodger pays back $$30 \%$$ of this the next day. How much does he still owe Neil?

6f694af3c9bd48f386b3503a12b5964d

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short_answer

SASMO 2018 Tina, a pet lover, has 2 cats, 2 dogs, 1 rabbit and some birds. If the total number of legs of all her pets is 28, how many birds does Tina have?

4d9b648aa31444f0a8961689da036596

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short_answer

Jack and Rose depart from Town $$A$$ and Town $$B$$ at the same time respectively, traveling towards each other. Jack travels $$15$$ km per hour, and Rose travels $$10$$ km per hour. They meet each other in $$10$$ hours. What is the distance between Town $A$ and Town $B$?

d74f00b435ac4576a44ffbd313804476

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short_answer

Solve the equation：$$12(x-1)=36$$．

6c4a0c8fddc0483ca389ad988e693de1

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short_answer

Melvin, Nelson and Oliver were playing cards. At first Melvin started with $$40$$ cards and then he gained $$\frac{5}{8}$$ more than his original number of cards from Nelson. In the next round, Melvin and Nelson each lost $$\frac{1}{4}$$ of Melvin\textquotesingle s original number of cards to Oliver. In the final round, Melvin gained $$\frac{1}{8}$$ of his original number of cards from Nelson. After the final round, Melvin, Nelson and Oliver all have the same number of cards. What was the total number of cards Melvin, Nelson and Oliver had at first?

b7eac049934747d7b62bda3fbaa5bc8d

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short_answer

Candy and Candice were asked to choose some cards from $6$ cards with one of the numbers $6$, $12$, $35$, $175$, $245$ and $300$ written on each card. Every card has a different number. Candy chose $2$ cards and Candice chose $3$ cards. The product of each girl\textquotesingle s selected cards were equal. Which number was not picked?

75a97b3cb75d416aaa38e4b494bb534c

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short_answer

\textbf{$$n$$~}is the sum of the odd factors of $$24$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~

d41691029c33461e96ef95148a5eba13

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short_answer

Polly Garter had her first child on her 20th birthday, her second child exactly two years later, and her third child exactly two years after that. How old was Polly when her age was equal to the sum of her three children\textquotesingle s ages?

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short_answer

$$2+4+6+8+10+\cdots +96+98+100$$．

2c263a2cb715471786756a60d709dd70

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short_answer

$$2\times 5 + 1 \times 5$$ $ $ $$(2+1) \times 5$$

59093ee3ace74e00af6550aaa30da949

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short_answer

Adeline has $$12$$ sweets. Her sister gives her $$7$$ more sweets. How many sweets does Adeline have now?

14c4144f0869404aa3f5ee8c1fd30121

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short_answer

Pip went on holiday and bought lots of presents home in his suitcase. The presents weighed $$20$$kg. On the way home, the suitcase weighed $$5$$ times as much as before . How much did the suitcase weigh without the presents?

2f7745024468479cbef4990d93752c41

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short_answer

$$50$$ cakes are packed in two different box sizes. The small box holds $$4$$ cakes and the big box holds $$6$$ cakes. If less than $$10$$ boxes are used and all the boxes are fully packed, how many big boxes are used?

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short_answer

Four years ago the combined age of the 2 dogs was 10 years old. What will the combined age be in 2 years?

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short_answer

The difference between two numbers is $$39$$ and the sum of the two numbers is $$59$$. What is the value of the smaller number?

1a06f46e2821453599d11045a0a00ca2

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short_answer

$5\times4+6\times8=$~\uline{~~~~~~~~~~}~

daa74d1025eb4e84bac18f7f987c4c5b

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short_answer

Richard is $$12$$ years old. Adam is twice as old as Richard. Will is $$\frac{2}{3}$$ of Adam\textquotesingle s age. What is their total age?

50c1187bcefc42f782b81876db5c9b43

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short_answer

Given that $$\overline{14m}=8\times \overline{1m}-3$$, find the value of $$m$$.

201413f1d95843569dc578e3191479b4

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short_answer

There are three natural numbers: $$A$$, $$B$$, $$C$$. Given that $$A\times B=30$$, $$B\times C=35$$, $$C\times A=42$$, $$A+B+C$$=~\uline{~~~~~~~~~~}~.

0220f39d28a1457ab882171d36b85267

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short_answer

In the beginning, there are $$x$$ passengers on a subway. On a stop, $$12$$ passengers get off the subway, and $$y$$ passengers get on the subway. Now, how many passengers on the subway?~ Use an algebraic expression to represent the situation.

d0dda40eb81841348c13c9c91a33a12b

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short_answer

Calculate $15 \%$ of £$340$.

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short_answer

Justin is $$8$$ years old and his mother is $$32$$ years old. In how many years\textquotesingle{} time will Justin\textquotesingle s mother be $$3$$ times as old as Justin?

53956386ba3c4b4c950b6dca01045afc

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short_answer

$6!=6\times5\times4\times3\times2\times1$~and~$7!=7\times6\times5\times4\times3\times2\times1$ Calculate the value of $10!$

6ce557a6c8f5454c8bfd60bf19896563

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short_answer

Cora and Qingle have some sweets. If Cora gives Qingle $$8$$ sweets, Qingle will have $$4$$ more sweets than Cora. What will be the difference in number of sweets they have at first?

b2f4e1c67fb348e19f5fc8792ed237cb

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short_answer

Given that ($$100 \times~~a+ 10\times b+c$$)$$\times $$($$a +b +c$$)$$= 1926$$ where $$a$$, $$b$$ and $$c$$ are whole numbers, find the value of $$a+ b + c$$.

18a547d69f104e56ae2814a05d14aaec

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short_answer

The graph of linear equation $y=mx+b$ passes through the origin and point $(4,8)$. The linear equation should be wrriten as~\uline{~~~~~~~~~~}~.

8687c8d26bc84869836e90d4f5fc68a9

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short_answer

Jane and Eric each have some seashells. Jane has $5$ seashells for every $7$ seashells Eric has. If Eric gives Jane $6$ seashells, the number of seashells that Jane has to the number of seashells Eric has will be in the ratio of $$11:13$$. How many seashells do they have in total?

b4a6a6d3563d489c96fe7593170152df

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short_answer

Warren and Naida make a list of numbers. They start with 0, then Warren adds 20, then Naida subtracts 1, then Warren adds 19, then Naida subtracts 2. $0,20,19,38,36,\cdots$ This pattern continues until Warren adds 1 and Naida subtracts 20, which ends up back at 0. What is the largest number in their list?

a46723e46cfb4bedb4d7b603e4267646

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short_answer

Water from the first faucet fills the swimming pool in $20$ hours. Water from each of the three other faucets fills the same swimming pool $3$ times faster. In how many hours will the swimming pool be filled if all three faucets are opened?

2ef6d5e475ed4057b993f02bafa8ea83

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short_answer

How many 0s are there at the end of the product $$48\times 925\times 38\times 435$$?

9494b45a03aa47d3b840f6416268ac67

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short_answer

What is the smallest~\uline{\textbf{even}}~$$5-$$ digit number that you can make with the digits $$5$$, $$3$$, $$9$$, $$4$$, $$8$$ using each digit only once? Answer~\uline{~~~~~~~~~~}~

ef6a6b59f128499ab1b4a2073ffa3a22

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short_answer

There are $$180$$ pupils at a particular school: $$52$$ pupils play the piano and $$38$$ pupils play the violin. $$\frac{1}{4}$$ of the pianists play the violin. How many pupils at the school play neither the piano nor the violin? Answer:~\uline{~~~~~~~~~~}~

4d4d648041e64f4f8fbcae12529f4d91

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short_answer

Min Ho deposited ＄$$20 000$$ into a bank at the beginning of the year. The annual simple interest for depositing money into the bank was $$5 \%$$. How much did Min Ho have in the bank at the end of $11$ years if he did not take out any money from the bank?

326c55e1dbe34a55b42d8f2355c0d688

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short_answer

How\hspace{0pt} \hspace{0pt}many\hspace{0pt} \hspace{0pt}days\hspace{0pt} \hspace{0pt}are\hspace{0pt} \hspace{0pt}there\hspace{0pt} \hspace{0pt}in\hspace{0pt} \hspace{0pt}a\hspace{0pt} \hspace{0pt}week?

b38ea6a5211742ffb6b17515774d525f

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short_answer

Some passengers are travelling on a bus. At the first stop, two fifths of the passengers got off. At the next stop, one third of the remaining passengers got off, which left $22$ people. How many passengers were on the bus at the start?

4c36fb915f3b494faaabab2d3b6937ff

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short_answer

If you choose any point in an isosceles right triangle with a waist length of $2 $, what is the probability that the distance between this point and the right angle vertex is less than $1 $?

a0bc9ddd90c8400ea4cf8347a9020791

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short_answer

\textbf{$$ABCD$$~}is a four digit number: Its first digit is $$\dfrac{1}{4}$$ of its last digit The second digit is $$1$$ less than its first digit When you multiply $$ABCD$$ by $$4$$, its digits appear in reverse order None of the digits are the same What is the number?

5787ee72c4d04dc79a6fef83e42a30f8

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short_answer

The school held a Maths and English test. $$10$$ students got an A in the Maths test while $$15$$ students got an A in the English test. $$2$$ students got an A in both the Maths test and the English test. How many students got an A in either test?

61d2be77a64146af8827b79a42a801d8

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short_answer

Hannah left school at $$15:22$$. She walked to the bus stop and just caught the bus at $$16:01$$. The bus trip took $$18$$ minutes. She then walked home from the bus drop off point, eventually getting in at $$16:35$$. How long did Hannah spend walking altogether?

6dc2dadd3a6147068fc0bfdae746ed45

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short_answer

A palindromic number is the same when written backwards as forwards, e.g.$$454$$ is a palindromic number. How many palindromic numbers are there between $$100$$ and $$200$$?

730f25d6c1bc4e37a31dd815615af70b

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short_answer

Freddie chooses a number. He divides it by $3$ and then adds $10$ to the result. His answer is $25$. What number did he start with?

1dbda155390140e09242722fa7ec4c1f

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short_answer

Find the value of 1+2+3 +4 +5+6 +7+8.

6877d33364b24d4982c45c4a93293a57

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short_answer

The \textbf{mean} of these numbers is $$5$$. What is the value of $$a$$? $$2$$~ ~ ~ $$3$$~ ~ ~ $$8$$~ ~ ~ $$4$$~ ~ ~ $$a$$~ ~ ~ $$7$$~ ~ ~ $$6$$

2d27041da5e747b9b4c4949e40cd5d6a

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short_answer

$$2030 452=2\times$$$\square$$$+30000+452$$, What is the missing number in the box?

586e5da41dc343e286f5bdb9a9aab06c

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short_answer

What is 20\% of 8880?

d992065f5fdb49bdb385a59fc97cf3bb

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short_answer

Samantha has a ribbon that measures 150 cm. She cuts it in half. How long is each piece in metres?

5ea6d9da123442c4a8d28b5ba3fe74e5

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short_answer

There are $$5$$ white socks, $$5$$ grey socks and $$5$$ black socks in a drawer. Lina is taking out socks one at a time without looking into the drawer and wants to ensure there is at least one pair of the same colour. She uses the following working to calculate at least how many socks she needs to take out: Worst case scenario: I get $$1$$ white sock and $$1$$ grey sock during the first $$2$$ times. $$\frac{\text{White}}{1} \frac{\text{Grey}}{1}$$ The $${{3}^{\text{rd}}}$$ sock will make up one pair of the same colour.~I must get $$3$$ socks from the drawer. Is Lina correct? If not, show the correct working and answer.

3ef61299b7c4476884b4646603c76fc5

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short_answer

\textbf{$$n$$~}is the number for which $$3\times n\times6=72$$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~}

94696a1a3ade4f6a85f0aaa9c64215ae

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short_answer

In the school hall, pupils were arranged to stand in rows with the same number of pupils in each row. From where Victoria was standing, there were $$6$$ pupils to her left and $$7$$ pupils to her right. There was $$1$$ row of pupils in front of her and $$8$$ rows of pupils behind her. How many pupils were there in the school hall?

8b5b06b976f0457fb05ae92796e950c6

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short_answer

John scored an average of $$75$$ marks in $$3$$ Mathematics tests. He scored a total of $$172$$ marks in two of the tests. How many marks did he score in the remaining test?

6246bd4ec6524aff80623b6953875e8b

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short_answer

Mrs Lam deposited ＄$$400000$$ in a fixed deposit account which paid her an interest of $$1.2 \%$$ per year. How much interest did she receive at the end of $$1$$ year?

743969de5e9d4dda93e740107239e799

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short_answer

$$452 - 191 =$$

34a7fe65f21049408fe7d74314f392a8

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short_answer

A number is added to $$3$$, the new sum is divided by $$4$$ and lastly the quotient is then multiplied by $$9$$. The resulting answer is $$81$$. What is that number?

3378ca3dc79a44d9b8d60a873b97d5c7

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short_answer

Calculate: $$\dfrac{\dfrac{1}{1\times 2}+\dfrac{1}{3\times 4}+\dfrac{1}{5\times 6}+\cdots +\dfrac{1}{19\times 20}}{\dfrac{1}{11\times 20}+\dfrac{1}{12\times 19}+\dfrac{1}{13\times 18}+\cdots +\dfrac{1}{15\times 16}}=$$~\uline{~~~~~~~~~~}~．

64b7530c3fcd4d98840ab7e499004ae8

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short_answer

Peter jogged from home to his friend\textquotesingle s house. At $$8.00$$ am, he was $$6300\rm m$$ away from his friend\textquotesingle s house. At $$8.30$$ am, he was $$1800\rm m$$ away. At what time did he reach his friend\textquotesingle s house?

5521675555dc4d9a8af13086a54334e6

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short_answer

Mr. Smith and Mrs. Smith both try to make a drink by combining a few carbonated drinks. Mr. Smith mix a $300$ mL drink that is $50 \%$ sugar and $600$ mL drink that is $20 \%$ sugar. Meanwhile, Mrs. Smith mix a $700$ mL drink that is $10 \%$ sugar and a $300$ mL drink that is $x \%$ sugar. They end up with the same sugar percentage. What is $x$ (rounded to the nearest two decimal places) ?

eb5c3a8d80624ac095e1421ab5bf8025

0

short_answer

Find $x$: $$5x+2=17$$．

207d21f7872b44c39bcd6ee8534d8b32

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short_answer

Judy had $$36$$ pieces of candy. She gave $$\dfrac{3}{4}$$ of the candy to her friend, Lily. Then, she gave $$\dfrac{1}{3}$$ of the remaining to her brother. How many pieces of candy does she have now?

fa946bf107f84b9d9749b1c8b96288fb

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short_answer

When May is $$7$$ years old, her neighbour, Kenny tells her, "When you are $$10$$ years old, the sum of the ages of my younger brother and I will be $$3$$ times that of your age." If Kenny is $$2$$ years older than his younger brother, how much older is Kenny than May this year?

02842e44d6784d8ea8f173ee23a5edf6

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short_answer

At a bakery, muffins and donuts were sold at $ $6$ for $3$ and $ $10$ for $7$ respectively. Amy had some money. She spent $\frac{1}{2}$ of her money to buy some donuts and the remaining of her money on some muffins. She bought $54$ more donuts than muffins. How much money did Amy have at first?

49c2deec1cbb44739a83382de18766c5

1

short_answer

Lina takes $$1$$ minute to make $$2$$ pancakes. How many pancakes does she cook in $$12$$ minutes?

46e11702823f49719758ac932f77acbe

2

short_answer

Renee buys $5$ kg of sweets to sell. She pays $£10$ for the sweets. Renee puts all the sweets into bags. She puts $250$ g of sweets into each bag. She sells each bag of sweets for $65$p. Renee sells all the bags of sweets. Work out her percentage profit.

98264c90c4f44945a18baa5c270fa929

1

short_answer

Fourteen apples are distributed among $$5$$ children and each of them can get at least one apple. The number of apple(s) for each child can be the same. For the child who gets the most apples, what is the largest possible number of apples he or she can get?

e97c46c875534340a3de7f73e01112a9

1

short_answer

A comb for horses has $$100$$ teeth (the width of the teeth are negligible). The distance between the $$4$$\textsuperscript{th}~teeth and the $$9$$\textsuperscript{th}~teeth is $30$ mm. How long is the comb in centimetres?

9473695aa8e7449bb892566a91379acd

1

short_answer

On 1\textsuperscript{st} December 2008, my grandmother was 80 years old. My mum was 40 years old on 1\textsuperscript{st} December 1996. How old was my grandmother when my mum was 25?

d8d809f89a7b4ed380c0e0f2a53b344a

1

short_answer

Total $$46563$$, $$9785$$ and $$859$$

93c6119a0fb64233a3a47cabdebb6ab5

0

short_answer

In how many ways can five people line up for a group picture if two refuse to stand next to each other?

3acaa5a4f1c749c2a12dac032c35167c

2

short_answer

How many ways are there to distribute $$5$$ identical ice-cream cones to three friends: Zyan, Xuan Ying and SiCheng by ensuring each of them will get at least $$1$$ ice-cream cone?

56e4adc68056477b9e25d947d40d0245

2

short_answer

Asha sells 60 kg vegetables at the market. On Monday she sold two-thirds of her vegetables. On Tuesday she sold two-fifths of the vegetables she had left. How many vegetables does she sell on Monday and Tuesday?

91f7c2d158094aecab623a3dd7d51aae

2

short_answer

A bag contains several balls of the same size and of five different colors. The number of balls of each kind is $$16$$, $$26$$, $$34$$, $$24$$ and $$40$$. Now pick the balls without observing them. How many balls have to be picked at least in order to ensure you get $$16$$ balls of one color together with $$13$$ balls of another color?

565d75f4184c40158e38b62f8b7a8e56

1

short_answer

Work out $$26.1 \div10000$$

8c2140926a504b439da436bc045ac3fb

1

short_answer

Find the value of $$5-10+15-20+25-30+\ldots+845-850+855$$.

fd6c4c01349c419f8b677eaff8345ce3

1

short_answer

Container $$P$$ had $$4$$ times as much water as container $$Q$$. Container $P$ contains $2700\text{ml}$ more water than container $Q$. How much water is in container $Q$?

2b2a2e587ee14b41a501ab4265950264

1

short_answer

Freddie has $12$ biscuits. He gives one quarter of these to his sister Claire. How many biscuits does he have left for himself?

1b10af37f10e4e378350822821ccd0e2

1

short_answer

Each letter represents a distinct number. Calculate the value of $$B$$. $$C+B=18$$ $$B=A+A+A$$ $$C+A=10$$

f959c9aa94cb4444a05fed72622f9203

1

short_answer

$$2$$ identical tables and $$5$$ identical chairs cost £$$220$$. The cost of one such table is the same as the cost of $$3$$ such chairs. What is the cost of each table?

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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 =

23deca2dec7341899b3bd1e49078449d

1

short_answer

Julie has some money. She spent $£1.55$ on a coffee and $£2.25$ on a muffin. She has fourfifths of her money left. How much money did Julie have to start with?

cf14830fc6664a70a173fbe0ffbab834

1

short_answer

Uncle lee invested $$4000$$ dollar into a saving account for a simple annual interest rate of $$3.81 \% $$. How much money will uncle Lee get after 5 years？

fba9a6dc71794e82967fc086a3bcc09b

0

short_answer

What number is $40 \%$ of $75$?

f83284a837da4e2fb26549abab697c91

1

short_answer

Hook walks $20$ minutes to school, and he walks $5$ more minutes than Lily. How many minutes does Lily walk?

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0

short_answer

$$$$Calculate.$$$$ $$(125+75)\times (630-616)$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$