Free Printable Mathematics GCSE revision quiz

1.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

2.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

3.

2 x 5 - 1 + 3

a)

11

b)

14

c)

12

d)

10

4.

Simplify 2a - 3b + 4a - 5b

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

5.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

6.

What is the nth term of this arithmetic sequence : 5, 13, 21, 29...

a)

8n - 3

b)

8n + 3

c)

3n - 8

d)

3n +8

7.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

8.

What is the median of the numbers 2, 2, 3, 9 ?

a)

7

b)

4

c)

2.5

d)

2

9.

Simplify fully:
√32

a)

4√8

b)

16√2

c)

4√2

d)

4√4

10.

What is the area of this triangle?

a)

17cm²

b)

20cm²

c)

30cm²

d)

60cm²

11.

What is the length of the hypotenuse?

a)

17 cm

b)

12.1 cm

c)

12.8 cm

d)

13 cm

12.

Order the decimals from smallest to largest - which is correct?

a)

0.3, 0.17, 0.25, 0.165

b)

0.165, 0.17, 0.25, 0.3

c)

0.17, 0.25, 0.3, 0.165

d)

0.165, 0.3, 0.17, 0.25

13.

Which maths word means 'identical' when comparing shapes?

a)

similar

b)

equilateral

c)

congruent

d)

invariant

14.

What is the combined area of the two rectangles?

a)

60 cm²

b)

120 cm²

c)

30 cm²

d)

48 cm²

15.

Solve: 2x - 5 = 9

a)

2

b)

7

c)

-3

d)

1.5

16.

What is the perimeter of a square that has length 5cm?

a)

25cm²

b)

25cm

c)

20cm

d)

20

17.

How would you write 100,361 in words?

a)

One million, three hundred and sixty one

b)

One thousand, three hundred and sixty one

c)

One hundred thousand, three hundred and sixty one

d)

One hundred and three thousand, and sixty one

18.

1 mark

a)

30abc

b)

10abc

c)

30(a + b + c)

d)

10(a + b + c)

19.

1 mark

a)

3(y + 2)

b)

3(y + 6)

c)

2(y + 3)

d)

6(y + 1)

20.

1 mark

a)

x² - 3x

b)

x² - 3

c)

x² - x

d)

2x - 3x

21.

3 marks

a)

x = 9.25

b)

x = 20.5

c)

x = 11.25

d)

x = 10.25

22.

3 marks

a)

20.3

b)

20.2

c)

31.8

d)

31.9

23.

3 marks

a)

2.61m

b)

0.81m

c)

1.24m

d)

2.25m

24.

2 marks

a)

8 : 6

b)

4 : 3

c)

72 : 54

d)

5 : 3

25.

4 marks

a)

7.92

b)

79.2

c)

10

d)

7.2

26.

2 marks

a)

10a⁵b⁴

b)

7a⁵b⁴

c)

10a⁵b³

d)

7a⁵b³

27.

3 marks

a)

y = 5p² - x

b)

y = (5p - x)²

c)

y = 5(p - x)²

d)

y = (5p)² - x

28.

3 marks

a)

x = 0.29

x = -2.29

b)

x = 0.87

x = -6.87

c)

x = 2.29

x = -0.29

d)

x = -0.42

x = -1.58

29.

3 marks

a)

29.25

b)

28.75

c)

24.25

d)

23.75

30.

1 ≤ 2y – 3 < 9 where y is an integer.

Write down all the possible values of y

a)

2,3,4,5

b)

1,2,3,4

c)

3,4,5,6

d)

1,2,3,4,5,6,7,8

31.

A number x is truncated to 2 decimal places. The result is 9.58

Write down the error interval for x

a)

$9.56<x\le9.58$

b)

$9.58\le x<9.59$

c)

$9.57\le x\le9.59$

d)

$9.58<x<9.59$

32.

Work out $(6.7\times10^4)\times(3.4\times10^{-8})$

Give your answer as an ordinary number.

a)

0.0002278

b)

2.278

c)

0.02278

d)

0.002278

33.

a)

$\frac{\left(x-1\right)}{\left(x+1\right)}$

b)

$\frac{\left(3x-1\right)}{x-1}$

c)

$\frac{\left(2x\ -1\right)}{x-1}$

d)

$\frac{\left(3x\ +\ 2\right)}{\left(x-2\right)}$

34.

make x the subject of the formula

$\frac{a}{b}=\frac{2x}{x+5}$

a)

$\frac{5a}{2b-a}$

b)

$\frac{2b}{a-5}$

c)

$\frac{5b}{2a\ -\ b}$

d)

$\frac{a}{2b}$

35.

AOB is a sector of a circle, centre O and radius 12 cm. The length of arc AB is 15 cm. Find the area of the sector.

a)

$144cm^2$

b)

$80cm^2$

c)

$90cm^2$

d)

$39cm^2$

36.

Bradley gets the bus on Saturday and Sunday. The probability that Bradley’s bus will be late on any day is 0.2

Work out the probability that Bradley’s bus is late on at least one of these days.

a)

0.2

b)

0.14

c)

0.25

d)

0.36

37.

Calculate the length AB

a)

12cm

b)

10.5cm

c)

11.1cm

d)

12.2cm

38.

Write in standard form

3500

a)

$3.5\times10^3$

b)

$35\times10^1$

c)

$3.5\times10^2$

39.

Evaluate, leaving your answer in standard form

\left(1.2\times10^{-2}\right)+\left(2.4\times10^{-1}\right)

a)

$2.52\times10^1$

b)

$2.52\times10^{-1}$

c)

$25.2\times10^{-2}$

40.

Evaluate, leaving your answer in standard form

\left(1.2\times10^3\right)\div\left(2.4\times10^5\right)

a)

$0.5\times10^{-3}$

b)

$5\times10^{-3}$

c)

$5\times10^{-2}$

41.

Joanne buys a car for £5000 and sells it for £2400. What is the percentage loss?

a)

48%

b)

52%

c)

108%

d)

8%

42.

I buy a watch in a sale at 35% off the regular price. In the sale the watch costs £78. How much did it cost before?

a)

£120

b)

£105.30

c)

£110

d)

£50.70

43.

A pencil measures 14cm to the nearest centimetre. Which is the correct error interval?

a)

$13.5<x\le14.5\$

b)

$13.5<x<14.5\$

c)

$13.5\ge x>14.5$

d)

$13.5\le x<14.5$

44.

A field measures 14m by 12m, both measured to the nearest metre. What is the minimum area?

a)

167.5

b)

168.75

c)

155.25

d)

152.75

45.

Evaluate
$2\frac{2}{3}+5\ \frac{1}{7}$

a)

$7\ \frac{17}{21}$

b)

$2\ \frac{1}{21}$

c)

$7\ \frac{13}{21}$

46.

In a bag of red and green counters, the ratio of red to green is 2 : 7. If there are 14 red counters, how many green are there?

a)

4

b)

49

c)

53

d)

56

47.

John and Linda share some money in the ratio 8 : 3. If John gets £45 more than Linda, how much does John get?

a)

£72

b)

£27

c)

£99

d)

£32.72

48.

The ratio of red to black is 3 : 4 and the ratio of black to green is 5 : 2. What is the ratio of red to green?

a)

15 : 10

b)

15 : 6

c)

6 : 15

d)

3 : 2

49.

Find 23% of 185

a)

42.55

b)

142.45

c)

227.55

d)

43.75

50.

y is directly proportional to x. If x = 5 when y = 15,

which is the correct formula?

a)

$y=\frac{75}{x}$

b)

$y=\frac{x}{3\ }$

c)

$y=3x$

d)

$x=3y$

51.

y is inversely proportional to x, and y = 12 when x = 3. Which is the correct formula?

a)

$y=4x$

b)

$y=\frac{4}{x}$

c)

$y=36x$

d)

$y=\frac{36}{x}$

52.

y is proportional to x and y = 4 when x = 8. Find y when x = 15

a)

30

b)

7.5

c)

9.2

d)

31

53.

$16^{-\ \frac{1}{2}}$ Calculate

a)

$4$

b)

$\frac{1}{4\ }$

c)

$\frac{1}{8}$

d)

$8$

54.

$\frac{3^5\times3^4}{3^2}$

Simplify

a)

$3^{10}$

b)

$3^{4.5}$

c)

$3^7$

d)

$1^7$

55.

$2^x\times4^2=8^{ }$

What is x?

a)

-1

b)

1

c)

-2

d)

2

56.

4 marks

a)

£828

b)

£69

c)

£60

d)

£51

57.

1 mark

a)

19.44

b)

1.944

c)

1944

d)

0.1944

58.

2 marks

a)

0.1

b)

0.9

c)

0.4

d)

0.2

59.

3 marks

a)

22

b)

16

c)

20

d)

24

60.

4 marks

a)

40^o

b)

70^o

c)

60^o

d)

50^o

61.

2 marks

a)

3y + 6 + 4x - 4

b)

3y + 4x + 2

c)

7xy + 2

d)

3y + 4x + 1

62.

2 marks

a)

2t² + 5t - 3t - 15

b)

2t² + 10t - 3t - 15

c)

2t² + 2t - 15

d)

2t² + 7t - 15

63.

2 marks

a)

2a(4a + 6)

b)

4a(2a + 3)

c)

4(2a + 3)

d)

8a(a + 2)

64.

2 marks

a)

(y + 1)(y - 2)

b)

(y - 1)(y - 2)

c)

(y + 1)(y + 2)

d)

(y - 1)(y + 2)

65.

2 marks

a)

30^o

b)

150^o

c)

330^o

d)

210^o

66.

4 marks

a)

1.66666666... hours

b)

1 hour 40 mins

c)

11:40 am

d)

10: 40 am

67.

3 marks

a)

35

b)

18

c)

15

d)

20

68.

2 marks

a)

¹/₃₀

b)

¹/₁₀

c)

¹/₃

d)

¹⁰/₃₀

69.

2 marks

a)

³/₁₀

b)

¹/₉

c)

¹/₃₀

d)

¹/₈

70.

1 mark

a)

12y² - 9y

b)

12y² - 9

c)

12y - 9y

d)

12y - 9

71.

3 marks

a)

38.25 cm

76.5 cm

51 cm

b)

68 cm

34 cm

51 cm

c)

68 cm

17 cm

34 cm

d)

51 cm

34 cm

17 cm

72.

3 marks

a)

p = 8

q = 10

b)

p = 3

q = 2

c)

p = 10

q = 12

d)

p = 3

q = 10

73.

1 mark

a)

0.000064

b)

15625

c)

-75

d)

75

74.

3 marks

a)

1.25 kg

b)

0.968 kg

c)

1.232 kg

d)

0.982 kg

75.

3 marks

a)

x = 1.44

x = -2.77

b)

x = -1.44

x = 2.77

c)

x = -8.32

x = 4.32

d)

x = 8.32

x = -4.32

76.

2 marks

a)

28.3 cm

b)

14.1 cm

c)

254.5 cm

d)

63.6 cm

77.

2 marks

a)

b)

c)

d)

78.

2 marks

a)

54

b)

126

c)

63

d)

114

79.

1 mark

a)

p⁶

b)

p⁵

c)

p³²

d)

p^1.5

80.

1 mark

a)

t⁴

b)

t⁵

c)

t^-5

d)

t¹¹

81.

1 mark

a)

6

b)

3

c)

2

d)

5

82.

2 marks

a)

x = 4

b)

x = 8

c)

x = 2.5

d)

x = 64

83.

2 marks

a)

-4, -3, -2, -1, 0

b)

-5, -4, -3, -2, -1, 0

c)

-4, -3, -2, -1

d)

-5, -4, -3, -2, -1

84.

2 marks

a)

x > 4.5

b)

x > 2.83

c)

x > 0.5

d)

x > 3.5

85.

3 marks

a)

7.5 km

b)

56.25 km

c)

28.1 km

d)

10.5 km

86.

2 marks

a)

3.3 cm

b)

7.5 cm

c)

8 cm

d)

18 cm

87.

3 marks

a)

£209.70

b)

£209.60

c)

£305.90

d)

£296

88.

3 marks

a)

75.5

b)

56.5

c)

132

d)

126

89.

Find the size of angle B. You do not need to include units.

(a)

90.

Find the size of angle ACB.

(a)

91.

Find the size of angle DAB

(a)

92.

Find the size of x.

(a)

93.

Find the size of y.

(a)

94.

Find the size of angle x.

(a)

95.

Find the size of angle BCD.

(a)

96.

Find the angle POR.

(a)

97.

Find the angle ABC.

(a)

98.

Find the size of angle y.

(a)

99.

Simplify fully:
2√45 - 5√45 + 9√16

a)

-9√5 + 36

b)

-3√45 + 144

c)

6√16

d)

6√106

100.

Rationalise the Denominator:
³/_√5

a)

³^√5/₅

b)

³^√5/₂₅

c)

^√5/₅

d)

^√5/3

101.

Write the vector from D to B...

a)

y - z

b)

-x + y

c)

-x - z

d)

-y - z

102.

Write the vector from B to C...

a)

r + s

b)

-r + s

c)

s + r

d)

-s - r

103.

3 marks

a)

Green = 0.09

Red = 0.36

b)

Green = 0.1125

Red = 0.3375

c)

Green = 0.11

Red = 0.44

d)

Green = 0.225

Red = 0.225

104.

2 marks

a)

13

b)

195

c)

187

d)

29

105.

2 marks

a)

13

b)

29

c)

¹³/₁₀₀

d)

²⁹/₁₀₀

106.

What number does this tally mark show?

a)

100

b)

50

c)

100

d)

150

Mathematics GCSE revision quiz

Total questions: 106

Worksheet time: 3hrs 37mins

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