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Worksheets

Year 8 Revision

Total questions: 165

Worksheet time: 4hrs 50mins

Name
Class
Date
1.

Find the area of the circle, giving your answer to 1 decimal place.

a)

3.1cm2

b)

12.6cm2

c)

6.3cm2

d)

50.3cm2

2.

Find the area of the circle, giving your answer to 1 decimal place.

a)

113.1cm2

b)

28.3cm2

c)

6.3cm2

d)

37.7cm2

3.

Find the area of the circle, giving your answer to 1 decimal place.

a)

78.5cm2

b)

19.6cm2

c)

19.6m2

d)

78.5m2

4.

Find the area of the circle, giving your answer to 1 decimal place.

a)

154.0cm2

b)

38.5cm2

c)

38.4cm2

d)

153.9cm2

5.

Find the area of the circle, giving your answer to 1 decimal place.

a)

201.1cm2

b)

201.0cm2

c)

804.2cm2

d)

804.2m2

6.

Find the area of the circle, giving your answer to 1 decimal place.

a)

45.4cm2

b)

11.3cm2

c)

12.6cm2

d)

10.2cm2

7.

Find the area of the circle, giving your answer to 1 decimal place.

a)

165.6cm2

b)

41.4cm2

c)

41.3cm2

d)

41.2cm2

8.

Find the area of the circle, giving your answer to 1 decimal place.

a)

2.1m2

b)

2.0m2

c)

0.5m2

d)

0.51m2

9.

Find the area of the circle, leaving your answer in terms of π

a)

4π cm2

b)

2π cm2

c)

16π cm2

d)

8π cm2

10.

Find the area of the circle, leaving your answer in terms of π

a)

64π cm2

b)

8π cm2

c)

16π cm2

d)

32π cm2

11.

Find the area of the circle, leaving your answer in terms of π

a)

121π cm2

b)

22π cm2

c)

484π cm2

d)

121π m2

12.

Find the area of the circle, leaving your answer in terms of π

a)

18π cm2

b)

324π cm2

c)

36π cm2

d)

81π cm2

13.

Find the circumference of this circle.

a)

9.42 cm

b)

4.71 cm

c)

7.065 cm

d)

28.26 cm

14.

Find the circumference of this circle.

a)

9.42 cm

b)

18.84 cm

c)

7.065 cm

d)

28.26 cm

15.

Find the circumference of this circle.

a)

40.82 cm

b)

20.41 cm

c)

81.64 cm

d)

132.665 cm

16.

Find the circumference of this circle.

a)

37.68 cm

b)

75.36 cm

c)

18.84 cm

d)

113.04 cm

17.

Find the circumference of this circle.

a)

15.7 cm

b)

7.85 cm

c)

31.4 cm

d)

17.5 cm

18.

Find the circumference of this circle.

a)

25.12 cm

b)

12.56 cm

c)

50.24 cm

d)

50.42 cm

19.

Find the circumference of this circle.

a)

34.54 cm

b)

69.08 cm

c)

17.27 cm

d)

50.42 cm

20.

Find the circumference of this circle.

a)

28.26 cm

b)

14.13 cm

c)

17.27 cm

d)

13.14 cm

21.

Work out the area of this rectangle...

a)

40 cm2

b)

26 cm2

c)

48 cm2

d)

32 cm2

22.

Work out the area of this rectangle...

a)

36 cm2

b)

16 cm2

c)

48 cm2

d)

32 cm2

23.

Work out the area of this rectangle...

a)

21 cm2

b)

20 cm2

c)

28 cm2

d)

27 cm2

24.

Work out the area of this rectangle...

a)

65 cm2

b)

70 cm2

c)

75 cm2

d)

80 cm2

25.

Work out the area of this triangle...

a)

15 cm2

b)

30 cm2

c)

40 cm2

d)

20 cm2

26.

Work out the area of this triangle...

a)

14 cm2

b)

28 cm2

c)

21 cm2

d)

10.5 cm2

27.

Work out the area of this triangle...

a)

7.5 cm2

b)

15 cm2

c)

20 cm2

d)

8.5 cm2

28.

Work out the area of this triangle...

a)

25 cm2

b)

50 cm2

c)

35 cm2

d)

60 cm2

29.

Work out the area of this triangle...

a)

14 cm2

b)

28 cm2

c)

21 cm2

d)

10.5 cm2

30.

Work out the area of this triangle...

a)

56 cm2

b)

28 cm2

c)

54 cm2

d)

27 cm2

31.

Work out the area of this paralellogram...

a)

36 cm2

b)

18 cm2

c)

27 cm2

d)

45 cm2

32.

Work out the area of this paralellogram...

a)

56 cm2

b)

28 cm2

c)

27 cm2

d)

54 cm2

33.

Work out the area of this paralellogram...

a)

75 cm2

b)

37.5 cm2

c)

65 cm2

d)

32.5 cm2

34.

Work out the area of this paralellogram...

a)

18 cm2

b)

9 cm2

c)

24 cm2

d)

12 cm2

35.

Work out the area of this square...

a)

81 cm2

b)

36 cm2

c)

72 cm2

d)

90 cm2

36.

Work out the area of this square...

a)

49 cm2

b)

28 cm2

c)

42 cm2

d)

56 cm2

37.

Find the area of the trapezium

a)

40cm2

b)

80cm2

c)

60cm2

d)

160cm2

38.

Find the area of the trapezium

a)

32cm2

b)

24cm2

c)

64cm2

d)

36cm2

39.

Find the area of the trapezium

a)

114m2

b)

120m2

c)

228m2

d)

108m2

40.

Find the area of the trapezium

a)

400cm2

b)

40cm2

c)

250cm2

d)

450cm2

41.

Find the area of the trapezium

a)

55cm2

b)

143cm2

c)

45cm2

d)

110cm2

42.

Find the area of the trapezium

a)

38cm2

b)

49.5cm2

c)

76cm2

d)

36cm2

43.

Find the area of the trapezium

a)

40cm2

b)

20cm2

c)

25cm2

d)

80cm2

44.

Find the area of the trapezium

a)

250cm2

b)

125cm2

c)

25cm2

d)

12.5cm2

45.

Find the area of the trapezium

a)

224cm2

b)

112cm2

c)

128cm2

d)

256cm2

46.

Find the area of the trapezium

a)

60cm2

b)

30cm2

c)

45cm2

d)

90cm2

47.

Find the area of the trapezium

a)

18cm2

b)

12.6cm2

c)

7.2cm2

d)

25.2cm2

48.

Find the length of side x

a)

2.125cm

b)

4.25cm

c)

8.5cm

d)

54.4cm

49.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

22 x 32

d)

22 x 3

50.

Write 16 as the product of it's prime factors...

a)

2 x 2 x 2 x 2

b)

2 x 2 x 2

c)

23

d)

24

51.

Write 135 as the product of it's prime factors...


Write your answer in index form...

a)

32 x 52

b)

33 x 5

c)

3 x 3 x 3 x 5

d)

3 x 3 x 5 x 5

52.

Write 80 as the product of it's prime factors...


Write your answer in index form...

a)

24 x 5

b)

2 x 2 x 2 x 5 x 5

c)

2 x 2 x 2 x 2 x 5

d)

23 x 52

53.

Write 450 as the product of it's prime factors...


Write your answer in index form...

a)

22 x 32 x 5

b)

2 x 3 x 3 x 5 x 5

c)

2 x 2 x 3 x 3 x 5

d)

2 x 32 x 52

54.

Write 250 as the product of it's prime factors...

a)

2 x 53

b)

2 x 5 x 5 x 5

c)

2 x 2 x 5 x 5

d)

22 x 52

55.

Write 144 as the product of it's prime factors...

a)

23 x 32

b)

2 x 2 x 2 x 3 x 3

c)

2 x 2 x 2 x 2 x 3 x 3

d)

24 x 32

56.

Write 210 as the product of it's prime factors...

a)

2 x 3 x 5 x 7

b)

2 x 3 x 3 x 7

c)

2 x 5 x 5 x 7

d)

2 x 3 x 7 x 7

57.

Write 800 as the product of it's prime factors...


Write your answer in index form...

a)

24 x 53

b)

23 x 52

c)

25 x 52

d)

22 x 55

58.

Which is the prime factorisation of 12?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

22 x 3

d)

1 x 22 x 3

59.

Write the number 3,400,000 in standard form

a)

3.4 × 106

b)

3.4 × 107

c)

34 × 105

d)

3.4 × 10-5

60.

Write the number 80,000,000 in standard form

a)

8 × 105

b)

8 × 106

c)

8 × 107

d)

8 × 108

61.

Write the number 100,000,000 in standard form

a)

10 × 107

b)

10 × 108

c)

1 × 107

d)

1 × 108

62.

Write the number 90,000,000,000 in standard form

a)

9 × 1010

b)

9 × 1011

c)

9 × 109

d)

9 × 1012

63.

Write the number 40,000,000,000,000 in standard form

a)

4 × 1012

b)

4 × 1012

c)

4 × 1013

d)

4 × 1013

64.

Write 3 × 109 as an ordinary number...

a)

300,000,000

b)

30,000,000

c)

3,000,000,000

d)

30,000,000,000

65.

Write 2 × 107 as an ordinary number...

a)

2,000,000

b)

20,000,000

c)

200,000,000

d)

2,000,000,000

66.

Write 8 × 103 as an ordinary number...

a)

8000

b)

800000

c)

0.0008

d)

0.008

67.

Write 7.4 × 10-5 as an ordinary number...

a)

0.000074

b)

740,000

c)

7,400,000

d)

0.0000074

68.

Write 1 × 100 as an ordinary number...

a)

10

b)

1

c)

100

d)

0.1

69.

Write 2 × 101 as an ordinary number...

a)

2

b)

20

c)

0.2

d)

0.02

70.

Write the number 3200 in standard form.

a)

32 x 102

b)

3.2 x 102

c)

3.2 x 103

d)

3.2 x 104

71.

Write the number 0.004 in standard form.

a)

4 x 103

b)

4 x 10-3

c)

4 x 10-2

d)

4 x 102

72.

Write the number 45 000 000 in standard form.

a)

4.5 x 107

b)

4.5 x 106

c)

45 x 107

d)

4 x 108

73.

Write this as an ordinary number: 5.6 x 103

a)

5600

b)

560

c)

0.56

d)

56000

74.

Write 0.000406 in standard form.

a)

4 x 10-4

b)

4 x 10-3

c)

4.06 x 103

d)

4.06 x 10-4

75.

Write the number 456 800 in standard form

a)

4.568 x 104

b)

4.568 x 105

c)

45.68 x 105

d)

45.68 x 104

76.

Write this as an ordinary number: 9.1 x 10-4

a)

0.0091

b)

0.00091

c)

0.0009

d)

0.000091

77.

Write the number 0.00302 in standard form correct to 1 significant figure.

a)

3.02 x 10-3

b)

30.2 x 10-2

c)

30.2 x 10-3

d)

3.02 x 10-2

78.

Write this as an ordinary number: 4.03 x 105

a)

403 000

b)

4 030 000

c)

40 300

d)

400 000

79.

Which number is written in standard form:

0.5 × 104

5 × 10-4

50 × 104

5 × 100.4

a)

0.5 × 104

b)

5 × 10-4

c)

50 × 104

d)

5 × 100.4

80.

Write the number 

six million five thousand two hundred 

in standard form.

a)

6.0052 x 106

b)

6.52 x 106

c)

6.052 x 106

d)

6 x 106

81.

Write these numbers in descending order:

9563

9.56 × 103 

9.56 × 310

You can use a calculator

a)

9.56 × 103 9.56 × 310 9563

b)

9.56 × 310 9563 9.56 × 103

c)

9.56 × 103 9563 9.56 × 310

d)

9563 9.56 × 310 9.56 × 103

82.

Which of these has the greatest value?

a)

6.15 × 104

b)

61 499

c)

6.2 × 103

d)

61.6 × 103

83.

Express 6.572 x 10-6 as a single number.

a)

0.006572

b)

0.00006572

c)

0.000006572

d)

0.0000006572

84.

Express 0.0000201 in standard form.

a)

2.01 x 10-6

b)

2.01 x 10-5

c)

2.01 x 105

d)

2.01 x 106

85.

Express 1.305 x 104 as a single number.

a)

1 305

b)

13 050

c)

1 305 000

d)

13 050 000

86.
a)

0.012

b)

0.12

c)

1.2

d)

12

87.
a)

340000

b)

340

c)

3400

d)

34000

88.
a)

6 × 103

b)

6 × 100

c)

6.0 × 102

d)

6 × 101

89.
a)

0.8 × 101

b)

8 × 10-1

c)

0.8 × 100

d)

8 × 101

90.
a)

12.8 × 107

b)

1.28 × 105

c)

1.28 × 106

d)

1.28 × 107

91.
a)

2

b)

20

c)

0

d)

1

92.
a)

4.2 × 10-5

b)

4.2 × 106

c)

4.2 × 10-7

d)

4.2 × 10-6

93.
a)

9 × 107

b)

9 × 108

c)

9 × 106

d)

9 × 10-5

94.
a)

0.052

b)

5.2

c)

0.52

d)

5200

95.
a)

673

b)

6730

c)

6370

d)

67.30

96.
What is 2.4 x 103?
a)
2.4
b)
2400
c)
24
d)
240
97.
What 12 ÷ 101?
a)
1.2
b)
120
c)
12
d)
12,000
98.

What is 555 ÷ 103?

a)

0.55

b)

555

c)

555,000

d)

0.555

99.

What is 3.59 x 102?

a)

0.359

b)

3.59

c)

3590

d)

359

100.
What is 91 ÷ 103?
a)
91
b)
91000
c)
0.091
d)
910
101.

What is 0.679 x 105?

a)

67,900

b)

679

c)

679,000

d)

6790

102.

Estimate the answer to:


906 + 397

a)

1300

b)

1200

c)

1310

d)

1303

103.

Estimate the answer to:


578 + 720

a)

1300

b)

1200

c)

1290

d)

1298

104.

Estimate the answer to:


1965 - 370

a)

1600

b)

1500

c)

1595

d)

2400

105.

Estimate the answer to:


8.31 + 9.74

a)

18

b)

17

c)

18.05

d)

80

106.

Estimate the answer to:


50.6 - 5.25

a)

46

b)

45

c)

55

d)

56

107.

Estimate the answer to:


2.1 x 6.8

a)

12

b)

14

c)

13.6

d)

13.4

108.

Estimate the answer to:


195 x 92

a)

290

b)

18000

c)

1800

d)

20000

109.

Estimate the answer

a)

35

b)

351.5

c)

350

d)

400

110.

Estimate the answer

a)

8

b)

900

c)

9

d)

800

111.

Estimate the answer to:


8.92

a)

64

b)

100

c)

81

d)

121

112.

Estimate the answer to:


11.252

a)

24

b)

100

c)

144

d)

121

113.

Approximate the following calculation:


345 × 233

a)

60000

b)

6000

c)

80000

d)

8000

114.

Approximate the following calculation:


812 × 378

a)

320000

b)

240000

c)

32000

d)

24000

115.

Approximate the following calculation:


784 × 682

a)

560000

b)

420000

c)

480000

d)

490000

116.

Approximate the following calculation:


942 × 453

a)

450000

b)

360000

c)

400000

d)

500000

117.

Approximate the following calculation:


731 × 449

a)

320000

b)

350000

c)

400000

d)

280000

118.

Use the diagram to find the HCF of 35 and 45

a)

5

b)

9

c)

7

d)

63

119.

Use the diagram to find the LCM of 35 and 45

a)

105

b)

315

c)

350

d)

63

120.

Use the diagram to find the HCF of 18 and 24

a)

5

b)

6

c)

3

d)

12

121.

Use the diagram to find the LCM of 18 and 24

a)

54

b)

36

c)

12

d)

72

122.

Use the diagram to find the HCF of 56 and 72

a)

6

b)

8

c)

63

d)

72

123.

Use the diagram to find the LCM of 56 and 72

a)

504

b)

252

c)

63

d)

168

124.

Use the diagram to find the HCF of 28 and 42

a)

6

b)

7

c)

9

d)

14

125.

Use the diagram to find the LCM of 28 and 42

a)

126

b)

28

c)

42

d)

84

126.

Use the diagram to find the HCF of 30 and 75

a)

8

b)

15

c)

10

d)

150

127.

Use the diagram to find the LCM of 30 and 75

a)

120

b)

180

c)

75

d)

150

128.

Use the diagram to find the HCF of 84 and 96

a)

12

b)

7

c)

6

d)

14

129.

Use the diagram to find the LCM of 84 and 96

a)

42

b)

224

c)

336

d)

672

130.

Find the volume of the cuboid

a)

72cm3

b)

36cm3

c)

48cm3

d)

84cm3

131.

Find the area of the triangular prism

a)

600cm3

b)

300cm3

c)

150cm3

d)

450cm3

132.

Find the area of the triangular prism

a)

140m3

b)

70m3

c)

35m3

d)

60m3

133.

Find the volume of the cuboid in cm3

a)

88cm3

b)

880,000cm3

c)

8800m3

d)

8800cm3

134.

Find the volume of the triangular prism

a)

154cm3

b)

308cm3

c)

140cm3

d)

168cm3

135.

Find the area of the prism

a)

648cm3

b)

324cm3

c)

756cm3

d)

576cm3

136.

Find the volume of the prism

a)

715cm3

b)

1320cm3

c)

1430cm3

d)

660cm3

137.

Find the volume of the prism

a)

8,000cm3

b)

10,000cm3

c)

4,000cm3

d)

5,000cm3

138.

Find the volume of the prism

a)

1,890cm3

b)

1,155cm3

c)

945cm3

d)

2,310cm3

139.

Find the volume of the prism

a)

2,176cm3

b)

1,088cm3

c)

1,496cm3

d)

272

140.

Find the volume of the prism

a)

432cm3

b)

576cm3

c)

216cm3

d)

720cm3

141.

Find the volume of the prism

a)

462cm3

b)

276cm3

c)

345cm3

d)

379.5cm3

142.

Find the volume of the cylinder

a)

150.8cm3

b)

75.4cm3

c)

301.6cm3

d)

113.1cm3

143.

Find the volume of the cylinder

a)

1231.5cm3

b)

703.7cm3

c)

2463cm3

d)

1407cm3

144.

Find the volume of the cylinder

a)

7854cm3

b)

31416cm3

c)

1257cm3

d)

314.2cm3

145.

Both shapes have the same volume. Find the length of y.

a)

15cm

b)

12cm

c)

10cm

d)

13cm

146.
What is the side length of a square that has an area of 36?
a)
9
b)
18
c)
6
d)
1296
147.
132
a)
26
b)
196
c)
144
d)
169
148.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
149.
√64
a)
3
b)
8
c)
7
d)
6
150.

12x12=

a)

24

b)

142

c)

144

d)

132

151.

9x9=

a)

18

b)

81

c)

72

d)

76

152.
Evaluate 122
a)
144
b)
132
c)
121
d)
24
153.
√9
a)
3
b)
6
c)
4
d)
1
154.
√225
a)
15
b)
20
c)
25
d)
30
155.

What is the square number of 4?

a)

2

b)

4

c)

8

d)

16

156.
What is the side length of a square that has an area of 100?
a)
10
b)
50
c)
25
157.
52
a)
16
b)
25
c)
10
d)
7
158.
√ 64
a)
4
b)
6
c)
9
d)
8
159.
√ 81
a)
8
b)
7
c)
10
d)
9
160.
√ 144
a)
4
b)
12
c)
16
d)
32
161.
72
a)
50
b)
49
c)
14
d)
48
162.
112
a)
132
b)
144
c)
121
d)
22
163.
√ 16
a)
132
b)
4
c)
2
d)
8
164.
√ 121
a)
10
b)
11
c)
12
d)
121
165.
12
a)
1
b)
0
c)
10
d)
2

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