Free Printable Circle Theorems recap

1.

Find the value of x.

(a)

2.

Find the value of x.

(a)

3.

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

a)

88

b)

75

c)

92

d)

102

4.

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

a)

90

b)

43

c)

47

d)

53

5.

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

a)

102

b)

51

c)

129

d)

78

6.

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

a)

56

b)

90

c)

34

d)

44

7.

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

a)

61

b)

63

c)

117

d)

119

8.

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

a)

90

b)

45

c)

50

d)

100

9.

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

a)

88

b)

44

c)

92

d)

46

10.

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

a)

35

b)

70

c)

55

d)

110

11.

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

a)

32

b)

64

c)

16

d)

58

12.

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

a)

41

b)

82

c)

164

d)

98

13.

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

a)

19

b)

38

c)

76

d)

52

14.

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

a)

76

b)

38

c)

152

d)

14

15.

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

a)

72

b)

144

c)

36

d)

90

16.

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

a)

65

b)

130

c)

90

d)

25

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.

The angle in a semi-circle is (a)

24.

The angle at the centre (y) is _______ the angle (x) at the circumference.

a)

twice

b)

half

c)

equal to

d)

90 degrees

25.

The angle between a radius and a tangent is _____________

a)

180 degrees

b)

90 degrees

c)

Twice the angle at the centre

d)

obtuse

26.

The tangents to a circle from the same point will be

a)

equal length

b)

parallel

c)

perpendicular

d)

different lengths

27.

The angles in the same segment from a common chord are:

a)

equal

b)

30 degrees

c)

add up to 90 degrees

28.

The opposite angles in a cyclic quadrilateral

a)

are equal

b)

add up to 180 degrees

c)

add up to 360 degrees

d)

are 90 degrees

29.

Which other angle in the diagram is 75 degrees?

a)

A

b)

B

c)

C

d)

D

30.

The radius through the midpoint of a chord bisects it at

a)

180 degrees

b)

a third

c)

90 degrees

d)

twice the angle at the circumference.

Circle Theorems recap

Total questions: 30

Worksheet time: 21mins

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