Free Printable Year 8 Maths

1.

a + a =

a)

2a

b)

a²

c)

10

d)

aa

2.

Form an expression:
5 more than y

a)

y - 5

b)

5y

c)

y + 5

d)

y⁵

3.

Form an expression:
7 divided by t

a)

7t

b)

t ÷ 7

c)

7 ÷ t

d)

7 + t

4.

2e means:

a)

2 x e

b)

2 + e

c)

2 ÷ e

d)

2 - e

5.

b x b =

a)

b²

b)

2 x b

c)

2b

d)

2 + b

6.

Form an expression:
2 lots of b add 4 lots of c

a)

6bc

b)

2b x 4c

c)

6 + bc

d)

2b + 4c

7.

3b - 2b

a)

b

b)

5b

c)

6b

d)

0

8.

7c - 2b

a)

5bc

b)

5 - cb

c)

7c - 2b

d)

9bc

9.

Form an expression:
Jack is 5 years older than Ben

a)

j + 5

b)

b + 5

c)

5b + j

d)

5j + b

10.

a + b + 2a + 3b

a)

2a + 3b

b)

5ab

c)

7ab

d)

3a + 4b

11.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
a + b

a)

7

b)

8

c)

9

d)

6

12.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a

a)

5

b)

6

c)

8

d)

10

13.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab

a)

10

b)

12

c)

15

d)

36

14.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
y + x – z

a)

-5

b)

-3

c)

3

d)

5

15.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2xz

a)

1

b)

24

c)

-24

d)

9

16.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.

a)

1

b)

-1

c)

1/5

d)

-6

17.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

d)

18

18.

If a = 4 and b = 6, what is the value of 3a + 5b?

a)

40

b)

42

c)

44

d)

46

19.

If x = 5, find the value of 7x-1.

a)

34

b)

36

c)

35

d)

37

20.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

21.

If x = 3,

calculate x + 3

a)

3x

b)

6

c)

6x

d)

3

22.

Simplify:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

23.

Simplify:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

24.

Simplify:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

25.

Combine like terms:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

26.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

27.

Combine like terms:

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

28.

Simplify:

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

29.

Combine like terms:

x+y+xy+x

a)

3xy

b)

2x+xy+y

c)

2xy+x

d)

3x+2y

30.

Simplify:

x²+2x+3x

a)

6x

b)

6x²

c)

x²+5x

d)

7x

31.

Collect like terms:

x²+y²+x+2y-3y²

a)

2x²

b)

x²+y²+x-y

c)

x²-2y²+x+2y

d)

3x+y

32.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

33.

3y = -15

a)

-5

b)

5

c)

-3

d)

3

34.

-4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

35.

-6x = 18

a)

3

b)

-3

c)

6

d)

-6

36.

5 = 7s - 9

a)

2

b)

6

c)

7

d)

8

37.

2b = -16

a)

8

b)

4

c)

-8

d)

3

38.

4a + 3 = 15

a)

2

b)

4

c)

1

d)

3

39.

52 = -5x - 3

a)

x = 11

b)

x = -11

c)

x = 275

d)

x = -275

40.

-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

41.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

42.

Form three equivalent fractions for

\frac{3}{4}

by multiplying by

\frac{5}{5}

,

\frac{7}{7}

, and

\frac{3}{3}

a)

$\frac{15}{20}$

b)

$\frac{21}{28}$

c)

$\frac{8}{18}$

d)

$\frac{20}{40}$

e)

$\frac{9}{12}$

43.

Select all fractions equivalent to $\frac{1}{4}$ .

a)

$\frac{2}{8}$

b)

$\frac{1}{10}$

c)

$\frac{3}{12}$

d)

$\frac{4}{11}$

e)

$\frac{10}{40}$

44.

Select all fractions equivalent to $\frac{2}{6}$ .

a)

$\frac{1}{3}$

b)

$\frac{5}{10}$

c)

$\frac{4}{12}$

d)

$\frac{2}{8}$

45.

Select all fractions equivalent to 1.

a)

\frac{1}{2}

b)

$\frac{5}{5}$

c)

$\frac{99}{98}$

d)

$\frac{47}{47}$

e)

$\frac{3}{3}$

46.

Select all fractions NOT equivalent to $\frac{1}{2}$ .

a)

$\frac{2}{4}$

b)

$\frac{4}{8}$

c)

$\frac{2}{3}$

d)

$\frac{3}{6}$

e)

$\frac{30}{62}$

47.

What value of x makes the fractions equivalent?

$\frac{3}{4}\ =\ \frac{9}{x}$

a)

4

b)

12

c)

10

48.

What value for x makes equivalent fractions?

$\frac{3}{x}\ =\ \frac{15}{35}$

a)

5

b)

7

c)

8

d)

4

49.

Select all fractions equivalent to $-\frac{4}{9}$ .

a)

$\frac{-4}{9}$

b)

$\frac{4}{9}$

c)

$\frac{-4}{-9}$

d)

$\frac{4}{-9}$

50.

Select all fractions equivalent to $\frac{5}{7}$ .

a)

$-\frac{5}{7}$

b)

$\frac{-5}{-7}$

c)

$\frac{-5}{7}$

d)

$\frac{5}{-7}$

51.

Select all fractions equivalent to $\frac{-2}{8}$ .

a)

$-\frac{1}{4}$

b)

$\frac{1}{4}$

c)

$-\frac{2}{8}$

d)

$\frac{2}{8}$

e)

$\frac{-8}{32}$

52.

9/36

a)

SF

b)

3/12

c)

1/4

d)

3/4

53.

44/60

a)

SF

b)

2/3

c)

11/15

d)

11/12

54.

12/40

a)

SF

b)

6/10

c)

3/10

d)

2/7

55.

Simplify

a)

1/5

b)

1/3

c)

3/5

d)

2/3

56.

Simplify

a)

1/4

b)

1/3

c)

1/2

d)

1/8

57.

reduce 2/4

a)

3/6

b)

4/8

c)

1/2

d)

5/10

58.

Reduce 10/12

a)

20/24

b)

1/2

c)

5/6

59.

Simplify 75/75

a)

1

b)

2/6

c)

7/5

d)

4/7

60.

simplify 6/12

a)

2

b)

1/2

c)

2/6

d)

6/6

61.

If you had 200 screws and you have used 80 of them, what percentage have you used?

a)

40%

b)

80%

c)

20%

d)

60%

62.

What is 0.75 as a fraction?

a)

2/6

b)

7/10

c)

3/4

d)

7/100

63.

What do you do to a decimal to get a percentage? For example, how would you get 0.11 into a percentage?

a)

divide by 100

b)

multiply by 100

c)

multiply by the fraction

d)

divide by the fraction

64.

What is 20% of 450?

(a)

65.

Your collection of tools has gone up from £1020 to £1982 in a year. What is the percentage change?

(a)

66.

You scored 39/60 in your Maths exam. What percentage did you get?

a)

39%

b)

65%

c)

60%

d)

78%

67.

What is 46% in a fraction in it's simplest form?

a)

46/100

b)

4/10

c)

11/25

d)

23/50

68.

What do you do to get from a fraction to a decimal?

a)

divide the top number by the bottom number

b)

multiply by 100

c)

divide by 100

d)

You can't do it

69.

What is 3/5 as a percentage?

a)

30%

b)

60%

c)

40%

d)

20%

70.

What is 0.8 in a fraction in the simplest form?

a)

80/100

b)

4/5

c)

8/10

d)

80/10

71.

Write 0.76 as a percentage.

a)

7.6%

b)

76%

c)

760%

d)

0.76%

72.

Write 0.4 as a percentage.

a)

40%

b)

4%

c)

400%

d)

0.4%

73.

Write 45% as a decimal.

a)

4.5

b)

45

c)

0.45

d)

0.045

74.

Write 18% as a decimal.

a)

1.8

b)

0.18

c)

0.018

d)

18

75.

Write 3/10 as a decimal

a)

0.3

b)

3

c)

0.03

d)

30

76.

Write 4/5 as a decimal

a)

80

b)

0.8

c)

0.08

d)

80%

77.

Write 0.56 as a fraction

a)

56/10

b)

56/100

c)

56/1000

d)

0/56

78.

Write 45% as a fraction.

a)

45/10

b)

4/5

c)

45/100

d)

0/45

79.

Write 67% as a fraction.

a)

67/10

b)

6/7

c)

7/6

d)

67/100

80.

Select the odd one out.

a)

12%

b)

12/100

c)

12/10

d)

0.12

81.

Nicole wrapped 75% of the 48 presents being donated for charity. How many gifts did Nicole wrap?

a)

48

b)

100

c)

36

d)

75

82.

A book has 276 pages.

Amina has read of the book.

How many pages are left for Amina to read?

a)

92

b)

138

c)

828

d)

69

83.

Calculate $\frac{3}{7}$ of 980

a)

2286

b)

420

c)

46

d)

367

84.

Meg has 20 pet stickers to go on this page.

$\frac{1}{4}$ of them are dog stickers

$\frac{1}{5}$ of them are cat stickers.

The rest are rabbit stickers. How many rabbit stickers does she have?

a)

10 rabbit stickers

b)

9 rabbit stickers

c)

8 rabbit stickers

d)

11 rabbit stickers

85.

Three-quarters of a number is 48

What is the number?

a)

24

b)

96

c)

16

d)

144

86.

$\frac{3}{5}$ Calculate of £15

a)

9

b)

15

c)

25

d)

225

87.

Stefan has a bag that contains 3 blue marbles and 5 red marbles only.

What fraction of the marbles in the bag are blue?

a)

$\frac{3}{8}$

b)

$\frac{5}{8}$

c)

$\frac{4}{8}$

d)

$\frac{7}{8}$

88.

\frac{2}{5}

a)

120 pages

b)

30 pages

c)

36 pages

d)

150 pages

89.

Calculate $\frac{7}{16}$ of 288

a)

126

b)

132

c)

658

d)

576

90.

In a class, 18 of the children are girls.

A quarter of the children in the class are boys.

Altogether, how many children are there in the class?

a)

20 children

b)

34 children

c)

24 children

d)

25 children

91.

What is BIDMAS?

a)

BIDMAS stands for Banana, Igloo, Donut, Mango, Apple, and spaghetti.

b)

BIDMAS stands for Brackets, Order, Division, Multiplication, addition, and subtraction.

c)

BIDMAS stands for Brackets, Indices, Division, Multiplication, Addition, and Subtraction.

92.

What is the difference between BIDMAS and BODMAS?

a)

One is boring

b)

The only difference is between the two terms is O in BODMAS which actually means Order which is the same as Indices/power.

c)

One is scientific

d)

One is related to geography

93.

(2+3)-17-14²

a)

82

b)

79

c)

45

d)

184

94.

Is this right?

21 ÷ 3 + (3 × 9) × 9 + 5=255

a)

Yes

b)

No

c)

I don't know

95.

Solve

18 ÷ 6 × (4 - 3) + 6

a)

11

b)

13

c)

8

d)

9

96.

Solve

14 - 8 + 3 + 8 × (24 ÷ 8)

a)

34

b)

33

c)

31

d)

28

97.

Solve

4 × 5 + (14 + 8) - 36 ÷ 9

a)

34

b)

37

c)

33

d)

38

e)

23

98.

Solve

(17 - 7) × 6 + 2 + 56 - 8

a)

98

b)

110

c)

112

d)

113

e)

125

99.

Solve

(28 ÷ 4 ) + 3 + ( 10 - 8 ) × 5

a)

20

b)

22

c)

17

d)

32

e)

36

100.

Is this right?

12 - 5 + 6 × 3 + 20 ÷ 4=32

a)

Yes

b)

No

c)

I don't know

101.

Solve (2+3)/5 =

a)

1

b)

2

c)

3

d)

4

102.

Solve 5(4+6)-2

a)

50

b)

48

c)

40

d)

30

103.

[(3+2)/2]*2

a)

8

b)

20

c)

10

d)

5

104.

Solve (5*2)/(4/2)

a)

20

b)

5

c)

10

d)

15

105.

Solve (4*3)*6 + 2*4/2

a)

76

b)

78

c)

123

d)

4

106.

Solve (8/2)/(4*5)

a)

42

b)

16

c)

0.4

d)

0.2

107.

Solve [(10+4/6)/2]*6

a)

12

b)

48

c)

32

d)

942

108.

Solve 14(2/4)+9

a)

24

b)

18

c)

17

d)

16

109.

Solve 16*2/(14-8*2)

a)

-42

b)

16

c)

8

d)

-16

110.

Solve 4*4/16+8

a)

9

b)

12

c)

15

d)

8

111.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

112.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

113.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

114.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

115.

Find the LCM of 5 and 8...

a)

40

b)

80

c)

20

d)

60

116.

Find the LCM of 6 and 8...

a)

12

b)

16

c)

24

d)

36

117.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

118.

Find the LCM of 10 and 12...

a)

80

b)

40

c)

60

d)

120

119.

Find the HCF of 20 and 24

a)

6

b)

4

c)

5

d)

12

120.

Find the HCF of 30 and 25

a)

5

b)

6

c)

10

d)

15

121.

Which number is a factor of 12?

a)

2

b)

9

c)

8

d)

24

122.

Which number is a multiple of 18?

a)

2

b)

9

c)

36

d)

24

123.

Which number is a factor of 18, but not a multiple of 2?

a)

36

b)

9

c)

8

d)

24

124.

What is the HCF of 32 and 40?

a)

8

b)

80

c)

2

d)

16

125.

Find the LCM of 32 and 40.

a)

1080

b)

250

c)

160

d)

204

126.

Find the GCF of 48 and 84.

a)

2

b)

12

c)

24

d)

48

127.

What is 60 as a product of prime factors.

a)

2 + 2 + 3 + 5

b)

2² * 3 * 5

c)

2 * 2 * 3 * 5

d)

3 * 20

128.

Pick the square number.

a)

8

b)

25

c)

32

d)

27

129.

What is 25 as the sum of two prime numbers?

a)

22 + 3

b)

20 + 5

c)

23 + 2

d)

13 + 12

130.

Which number below is a cubed number?

a)

8

b)

16

c)

36

d)

144

131.

Which is not a factor of 24?

a)

2

b)

3

c)

4

d)

5

132.

Which is a factor of 32?

a)

3

b)

4

c)

5

d)

6

133.

Which is a factor of 95?

a)

2

b)

3

c)

4

d)

5

134.

Which is a multiple of 4

a)

22

b)

24

c)

34

d)

46

135.

Which is not a multiple of 3?

a)

18

b)

22

c)

27

d)

33

136.

Which which is not a multiple of 6?

a)

18

b)

36

c)

46

d)

96

137.

Which is a prime number?

a)

7

b)

12

c)

27

d)

36

138.

Which is not a prime number?

a)

5

b)

7

c)

9

d)

11

139.

Which is a prime number?

a)

15

b)

19

c)

21

d)

27

140.

Which is a prime factor of 60?

a)

2

b)

4

c)

6

d)

8

141.

Identify all the multiples of 4....

a)

30

b)

32

c)

38

d)

44

e)

54

142.

find the highest common factor of 60 and 96

a)

9

b)

12

c)

6

d)

15

143.

Write 140 as the product of its prime factors

a)

2x2x5x7

b)

2x2x2x2

c)

3x2x3x5

d)

7x9x5x2

144.

work out the lowest common multiple of 60 and 96

a)

30

b)

600

c)

254

d)

480

145.

find the highest common factor of 84 and 35

a)

3

b)

7

c)

9

d)

5

146.

express 108 as the product of powers of its prime factors

a)

2x2x5x7x3

b)

3x3x5x7x7

c)

2x2x3x3x3

d)

5x5x2x2x3

147.

find the lowest common multiple of 120 and 150

a)

600

b)

350

c)

900

d)

500

148.

find the lowest common multiple of 24 and 36

a)

94

b)

64

c)

58

d)

72

149.

express the 60 as products of their prime factors

a)

3x3x2x5

b)

5x5x3x2

c)

2x2x2x2

d)

2x2x3x5

150.

express 96 as products of their prime factors

a)

2x2x2x2x2x3

b)

3x3x3x2x2x2

c)

5x2x3x2x3x9

d)

7x5x3x2x3x3

Year 8 Maths

Total questions: 150

Worksheet time: 4hrs 12mins

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