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G9 Circle Theorems

Total questions: 20

Worksheet time: 19mins

Name
Class
Date
1.

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

a)

90

b)

43

c)

47

d)

53

2.

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

a)

50

b)

100

c)

80

d)

90

3.

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

a)

125

b)

70

c)

110

d)

55

4.

How many degrees is angle d ?

a)

20

b)

45

c)

70

d)

none of the above

5.

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

a)

90

b)

45

c)

50

d)

100

6.

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

a)

88

b)

75

c)

92

d)

102

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)

32

b)

64

c)

16

d)

58

9.

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

10.
Find the length of BC.
a)
2
b)
3
c)
9
d)
14
11.
What can you conclude from the picture?
a)
m is parallel to circle C
b)
m is skew to circle C
c)
m bisects circle C
d)
m is tangent to circle C
12.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
13.

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

a)

63

b)

126

c)

54

d)

90

14.

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

a)

102

b)

51

c)

129

d)

78

15.

a)

w = 260, x = 1280 and y = 520

b)

w = 520, x = 1280 and y = 260

c)

w = 260, x = 1280 and y = 640

d)

w = 520, x = 1280 and y = 640

16.

Calculate the values of p, q and r.

a)

p = 540, q = 510 and r = 780

b)

p = 540, q = 780 and r = 510

c)

p = 540, q = 750 and r = 780

d)

p = 540, q = 510 and r = 750

17.
In the diagram, the diameter of the circle is perpendicular to the chord. Solve for the value of "x"
a)
26
b)
24
c)
30
d)
20
18.

One of the greatest mathematicians in history. Known for his contributions to geometry

a)

Plato

b)

Philip II

c)

Euclid

d)

Aristotle

19.

Who is the father of Geometry?

a)

Euclid

b)

Pythagoras

c)

Descartes

d)

Leibniz

20.

Was an Italian mathematician. He is best known for the number sequence named after him: 1, 1, 2, 3, 5, 8, 13, …

a)

Leonardo Pisano, Fibonacci (1175 – 1250)

b)

Leonhard Euler (1707 – 1783)

c)

Johann Lambert (1728 – 1777)

d)

François Viète (1540 – 1603)