Free Printable Revision: Y7-8 Math

1.

Work out the approximate answer to 0.032 × 17.1

a)

0.04 x 10 = 0.4

b)

0.03 x 16 = 0.48

c)

0.03 x 20 = 0.6

d)

0.032 x 20 = 0.64

2.

Rami and Elle set off together when running laps of a track.

Rami takes 6 minutes whereas Elle takes 8 minutes to run a lap.

How long will they cross the line together for the first time?

[Hint: LCM]

a)

After 12 minutes

b)

After 24 minutes

c)

After 48 minutes

d)

After 72 minutes

3.

Write true or false :

1) 2 is the only even prime number.

2) all numbers ending in 3 are prime.

3) there is only one prime number ending in 5.

4) there are no prime numbers greater than 100.

a)

1) True

2) False

3) False

4) False

b)

1) False

2) False

3) False

4) False

c)

1) False

2) True

3) False

4) True

d)

1) True

2) False

3) True

4) False

4.

The grid shows numbers from 2 to 21.
Follow these instructions below:

*Cancel multiplies of 2

*Cancel multiplies of 3

*Cancel multiplies of 5

*Do not cancel prime

What numbers have not been cancelled?

a)

2, 3, 5, 7, 9

b)

4, 6, 8, 12, 14, 16, 18, 20

c)

7, 11, 13, 17, 19

d)

3, 5, 7, 9, 11, 13, 15, 17, 19, 21

5.

Manager Brandon has RM 5004 salary. He paid $\frac{6}{9}$ for his entertainment, rental and car downpayment.

He donated $x$ amount to parents and charity.

After that, he only has RM 1200 left.

Work out the amount he gave to parents and charity.

a)

Amount: RM 3336,

Fraction: $\frac{6}{9}$

b)

Amount: RM 1200,

Fraction: $\frac{100}{417}$

c)

Amount: RM 468,

Fraction: $\frac{13}{139}$

d)

Amount: RM 1668,

Fraction: $\frac{3}{9}$

6.

Which numbers in the box are prime?

21, 22, 23, 27, 28, 29

a)

21, 22, 23, 27, 28, 29

b)

21, 23, 27, 29

c)

22, 28

d)

23, 29

7.

$72^9\times8\times9$

Simplify and write answer with power :

a)

$72^9\times72$

b)

$72^9\times8\times9$

c)

$72^{10}$

d)

$72^1$

8.

$9^2\div9^2\times9^2$

Simplify, then write answer
1) in whole number

2) with power

a)

1) $81$
2) $9^2$

b)

1) $9$

2) $8$

c)

1) $1$

2) $9^0$

d)

none of the answers here.

9.

Given number of ice cream cone flavours available in a shop are chocolate, durian, and vanilla in a ratio of 4 : 5 : 10.
What is the percentage of durian flavoured cone?

a)

21.053 %

b)

26.316 %

c)

52.632 %

d)

I don't know

10.

The number of ice cream cone flavours available in a shop are chocolate, durian, and vanilla in a ratio of 4 : 5 : 10.
If the difference in numbers of vanilla and chocolate cones is 54, find the total number of ice cream cones that the shop has.
[answer correct to 2 significant figures]

a)

171

b)

170

c)

169

d)

168

11.

1) Make W the subject, using the formula $Z=99+\frac{9}{8}W$ .

2) Then, find W if Z is 27.

a)

1) $\frac{8}{9}\left(Z-99\right)=W$ 2) $-64$

b)

1) $W=\frac{9}{8}Z+99$ 2) $-129$

c)

1) $W=\frac{8}{9}\left(Z-99\right)$ 2) $-64$

d)

1) $\frac{9}{8}Z+99=W$ 2) $-129$

12.

If W is 8, find Z using the formula $Z=99+\frac{9}{8}W$ .

a)

Z = 101

b)

Z = 108

c)

Z = 100

d)

Z = 107

13.

Which values from this collection satisfy the inequality of –75 ≤ y < 500?

501, -75, -76, 0, -74, 500, 499

a)

-76, -75, -74, 0, 499, 500, 501

b)

-75, -74, 0, 499, 500

c)

-75, -74, 499, 500

d)

-75, -74, 0, 499

14.

Given z = 4 + 13 w, which is the correct function machine?

a)

input (w) -> [multiply 13] -> [add 4] -> output (z)

b)

input (w) -> [add 4] -> [multiply 13] -> output (z)

c)

input (z) -> [multiply 13] -> [add 4] -> output (w)

d)

input (z) -> [add 4] -> [multiply] -> output (w)

15.

A number is only one-third of another number. If their difference is 38, find the numbers.

a)

19, 57

b)

20, 58

c)

18, 56

16.

If the sum of two consecutive even numbers is 54, find the numbers.

a)

26, 28

b)

24, 26

c)

22, 24

17.

Classify the following as equation, expression or formula: 70 = 3 - 400z .

a)

formula

b)

equation

c)

expression

d)

quadratic equation

18.

Determine whether the following is an equation, expression, or formula: 3y + 4.

a)

formula

b)

equation

c)

expression

d)

linear equation

19.

Classify the following as equation, expression or formula: y = mx + c
Hint: How many variables?

a)

formula

b)

equation

c)

expression

d)

quadratic equation

20.

Classify the following as equation, expression or formula: $\frac{y}{220}$ = 6.

a)

formula

b)

equation

c)

expression

d)

quadratic equation

21.

Calculate without calculator : (−3)³ + (−3) ÷ 6 x (−0.5) + $\sqrt[3]{-27}$ .
Do you think should x or ÷ first?

a)

356

b)

201

c)

−29

d)

−55

22.

Brian has 23 less oranges than Abigail.

If the total of oranges they have are 39, calculate the number of oranges Abigail has.

a)

Abigail : 31

Brian : 8

b)

Abigail : 26

Brian : 13

c)

Abigail : 27

Brian : 14

d)

Abigail : 30

Brian : 7

23.

Factorise xy + zx.

a)

y + z (x)

b)

xy + xz

c)

z(x + yz)

d)

x(y + z)

24.

Simplify the expression 12b + 40 - 4.

a)

2 (6b + 18)

b)

3 (4b + 12)

c)

4 (3b + 9)

d)

12b + 36

25.

What are the method/s taken to find prime factorisation of 180 and 360?

a)

Only factor tree method.
180 = 2 x 2 x 3 x 3 x 5

360 = 2 x 2 x 2 x 3 x 3 x 5

b)

Only ladder method.
180 = 2 x 3 x 3 x 5

360 = 2 x 2 x 2 x 3 x 3 x 5

c)

Using ladder method or factor tree method.
180 = 2 x 6 x 15

360 = 4 x 6 x 15

d)

Using ladder method or factor tree method.
180 = 2 x 2 x 3 x 3 x 5

360 = 2 x 2 x 2 x 3 x 3 x 5

26.

Find the HCF of 180 and 360 in prime factorised form.

a)

2 x 2 x 2 x 3 x 3 x 5

b)

$2^2\ \times\ 3^{2\ }\times5$

c)

$2^3\times3^2\times5$

d)

2 x 2 x 3 x 3 x 5

27.

$5(2x+1)=4(x-2)+10$

a)

$x=-\frac{1}{2}$

b)

$x=\frac{7}{6}$

c)

$x=\frac{1}{2}$

d)

$x=\frac{2}{5}$

28.

Express the recurring decimal as a fraction in its lowest term.

a)

$\frac{61}{100}$

b)

$\frac{6}{9}$

c)

$\frac{6161}{9999}$

d)

$\frac{61}{99}$

29.

$2\frac{1}{2}\times1\frac{2}{5}$

a)

$\frac{5}{2}\times\frac{7}{5}=\ \frac{7}{2}\ =3\frac{1}{2}$

b)

$2\frac{1}{2}\times1\frac{5}{2}=2\ \frac{5}{4}\ =3\frac{1}{4}$

c)

$2\frac{2}{1}\times1\frac{5}{2}=2\ \frac{10}{2}\ =7$

d)

$\frac{5}{2}\times\frac{7}{5}=\ \frac{12}{10}\ =1\frac{1}{5}$

30.

$3\frac{3}{4}\div\frac{1}{2}$

a)

$3\frac{4}{3}\times\frac{2}{1}=3\ \frac{8}{3}\ =5\frac{2}{3}$

b)

$3\frac{4}{3}\times\frac{1}{2}=3\ \frac{4}{6}\ =3\frac{2}{3}$

c)

$\frac{15}{4}\div\frac{1}{2}=\frac{15}{4}\times\frac{2}{1}$ $=\frac{15}{2}\times\frac{1}{1}$

$=\frac{15}{2}$

$=7\frac{1}{2}$

d)

$\frac{15}{4}\div\frac{1}{2}=\frac{4}{15}\times\frac{2}{1}$ $=\frac{8}{15}$

31.

Jenny used to go to a village hairdresser, where a trim cost $ 4.

As the hairdresser left, she went to a salon in town that cost $ 30.

What percentage increase is that?

a)

560 %

b)

600 %

c)

625 %

d)

650 %

32.

Make $u$ the subject of $s=\frac{\left(u+v\right)}{2}\times t$

a)

$u=\frac{2s-vt}{t}$

b)

$u=\frac{2s}{t}-v$

c)

$u=\frac{2s}{t}+v$

d)

$u=\frac{2s}{t}\div\left(u+v\right)$

33.

Solve $5x+4=2x+19$ .

a)

$x=2$

b)

$x=3$

c)

$x=4$

d)

$x=5$

34.

what is the gradient and y-intercept of $5x-2y=12$ ?

a)

$m\ =\ 2.5,\ c\ =-6$

b)

$m\ =\ 3,\ c\ =-1.5$

c)

$m\ =\ 1,\ c\ =4$

35.

52 litres ( $l$ ) to millilitres ( $ml$ )

a)

52000

b)

5200

c)

520

d)

0.52

36.

Solve $2x+3<5x+12$

a)

$x>-3$

b)

$x<-3$

c)

$-3x>9$

d)

$-3x<9$

37.

$h=\frac{2zy}{z+y}$ . Find $h$ when $z=\frac{2}{5},\ y=\frac{3}{5}$

a)

$\frac{12}{35}$

b)

$\frac{13}{35}$

c)

$\frac{14}{35}$

d)

$\frac{15}{35}$

38.

A piano price is reduced from $ 7500 to $ 6900.

What percentage reduction is this?

a)

8 %

b)

$ 600

c)

0.8 %

d)

$-$ $ 600

39.

Convert 400000 g to kg, then convert it to tonnes.

a)

400 t

b)

40 t

c)

0.4 t

d)

0.04 t

40.

Some naughty numbers have been locked behind bars.

Find the square numbers and cube numbers.

a)

There are no square or cube numbers here.

b)

Square: 4, 25, 36, 49, 64

Cube: 8, 27

c)

Square: 16, 25, 36, 49

Cube: 8, 27

d)

Square: 4, 16, 25, 36, 49, 64

Cube: 8, 27, 64

41.

Which are the next 2 patterns in the sequence?

a)

b)

c)

d)

42.

How many doughnuts are in the 7th pattern?

a)

2

b)

20

c)

22

d)

14

43.

How many doughnuts are in the nth pattern?

a)

$3n+1$

b)

$3n-1$

c)

$2n+2$

d)

$2n-2$

44.

Why 3, 7, 11, 15, ... sequence cannot have 137 term?

a)

n is 34.5,

n is not an integer.

b)

n is 34.5,

n is not a whole number.

c)

n is 137, so it is a term in the sequence.

d)

n is 137, so it is not a term in the sequence.

45.

Get both heads and tails in a single toss.

This is a mutually exclusive event.

a)

True

b)

False

46.

Cycle and listen to music at the same time.

This is NOT a mutually exclusive event.

a)

True

b)

False

47.

Turn your head and laugh at the same time.

The events are mutually exclusive.

a)

True

b)

False

48.

Sit down and stand at the same time.

The events are not mutually exclusive.

a)

True

b)

False

49.

Classify the rotational symmetries of country flags.

a)

Singapore, Pakistan has no rotational symmetries but other countries' flags have rotational symmetries.

b)

Pakistan, Cambodia has no rotational symmetries but other countries' flags have rotational symmetries.

c)

Thailand, England and Japan has rotational symmetries but other countries' flags do not have rotational symmetries.

50.

a)

a) 4

b) 2

c) 0

d) 3

b)

a) 4

b) 4

c) 0

d) 3

c)

a) 4

b) 2

c) 3

d) 3

d)

a) 4

b) 4

c) 3

d) 3

51.

Find volume of this composite shape.

a)

$174\ cm^2$

b)

$202\ cm^3$

c)

$232\ cm^3$

d)

$253\ cm^3$

52.

Rian wants to build a rocket that can fit into the space station, so he had to calculate the area of rocket.

Here are the conditions of building it:

Triangle top

Square body

Two square supports at the bottom of body

With these information, write an algebraic expression for the total area of his rocket.

a)

An expression cannot be made.

b)

5w + 43

c)

3w + 21

d)

14 + 2w

53.

Given that AC and DE are parallel lines.

Find $x$ .

a)

5

b)

10

c)

16

d)

25

Revision: Y7-8 Math

Total questions: 53

Worksheet time: 2hrs 11mins

Similar Resources on Wayground