Free Printable iGCSE circle theorems quiz

1.

Which is the correct way to solve this?

a)

8x=12

b)

12x=8

c)

8(x+8)=12

d)

8(x+8)=12(12)

2.

Which is the correct way to solve this?

a)

x(x+14)=12(33)

b)

14x=12(21)

c)

12x=14(21)

d)

21x=(12)(14)

3.

Which is the correct way to solve this?

a)

7x=6(8)

b)

7(x+7)=6(14)

c)

6x=7(8)

d)

7(14)=6(6+x)

4.

Find the value of the angle marked x....

a)

88

b)

75

c)

92

d)

102

5.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

6.

Find the value of the angle marked x....

a)

102

b)

51

c)

129

d)

78

7.

Find the value of the angle marked x....

a)

56

b)

90

c)

34

d)

44

8.

Find the value of the angle marked x....

a)

61

b)

63

c)

117

d)

119

9.

Find the value of the angle marked x....

a)

90

b)

45

c)

50

d)

100

10.

Find the value of the angle marked x....

a)

88

b)

44

c)

92

d)

46

11.

Find the value of the angle marked x....

a)

35

b)

70

c)

55

d)

110

12.

Find the value of the angle marked x....

a)

32

b)

64

c)

16

d)

58

13.

Find the value of the angle marked x....

a)

41

b)

82

c)

164

d)

98

14.

Find the value of the angle marked x....

a)

19

b)

38

c)

76

d)

52

15.

Find the value of the angle marked x....

a)

76

b)

38

c)

152

d)

14

16.

Find the value of the angle marked x....

a)

72

b)

144

c)

36

d)

90

17.

Find the value of the angle marked x....

a)

100

b)

80

c)

109

d)

71

18.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

19.

Find the value of the angle marked x....

a)

78

b)

88

c)

102

d)

92

20.

Find the value of the angle marked x....

a)

106

b)

76

c)

74

d)

30

21.

Find the value of the angle marked x....

a)

63

b)

126

c)

54

d)

90

22.

Find the value of the angle marked x....

a)

125

b)

70

c)

110

d)

55

23.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

24.

find the measure of y

a)

30

b)

60

c)

90

d)

180

25.

what are the values of c and d?

a)

c = 218, d = 71

b)

d = 109, c = 71

c)

c = 142, d = 218

d)

c = 142, d = 109

26.

what is the measure of angle c

a)

21

b)

63

c)

117

d)

10

27.

What are the sizes of a and b?

a)

a = 57, b = 114

b)

a = 57, b = 57

c)

a = 114, b = 57

d)

a = 57, b = 28.5

28.

Find the value of the angle marked x....

a)

90

b)

45

c)

50

d)

100

29.

Line JK represents:

a)

Chord

b)

Tangent

c)

Diameter

d)

Radius

30.

Line ABC represents:

a)

Chord

b)

Tangent

c)

Radius

d)

Diameter

31.

Line FG represents

a)

Tangent

b)

Radius

c)

Chord

d)

Diameter

32.

Find the size of each lettered angle

a)

A= 65, b= 75, c=40

b)

A= 75, b= 65, c=40

c)

A= 40, b= 75, c=65

33.

Find the size of each lettered angle

a)

d=58, e=43, f=79

b)

d=79, e=58, f=43

c)

d=79, e=43, f=58

34.

Find the size of each lettered angle.

a)

g=76, h=41, i=76

b)

g=41, h=76, i=76

c)

g=41, h=76, i=41

35.

Find the size of each lettered angle

a)

k=80, m=52, n=80

b)

k=52, m=52, n=80

c)

k=80, m=80, n=52

36.

Find the size of each lettered angle

a)

a = 75°

b = 75°

c = 75°

d = 30°

b)

a = 75°

b = 75°

c = 75°

d = 75°

c)

a = 75°

b = 30°

c = 75°

d = 30°

37.

Find the size of each lettered angle

a)

a = 86°

b = 47°

c = 47

d = 86°

b)

a = 86°

b = 47°

c = 86°

d = 47°

c)

a = 47°

b = 86°

c = 86°

d = 47°

38.

A, B, C and D lie on the circle, centre O, with diameter AC.

PQ is a tangent to the circle at A.

Angle PAD = 60° and angle BAC = 20°.

Find the values of u, v, w, x and y.

a)

[u = 30.] [v = 60 ] . [w = 60 ], [x = 120,] [y = 40]

b)

[u = 60.] [v = 20 ] . [w = 50 ], [x = 100,] [y = 30]

39.

A, B and C lie on the circle, centre O.

Angle AOC = (3x+22)° and angle ABC = 5x°.

Find the value of x.

a)

27

b)

26

c)

25

40.

In the diagram, A, B, C and D lie on the circle, centre O.

Angle ADC = 128°, angle ACD = 28° , angle BCO = 30° and angle AOC = 104°.Find angle BAO. .

a)

22

b)

23

c)

40

41.

Determine the value of x in the diagram.

a)

6

b)

7

c)

8

d)

9

42.

Determine the value of x in the diagram.

a)

14

b)

21

c)

22

d)

27

iGCSE circle theorems quiz

Total questions: 42

Worksheet time: 32mins

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