Free Printable Circle Theorems Chord and Angle Inside Circle

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.

If a is 60⁰, what is 2a ?

a)

30⁰

b)

120⁰

c)

90⁰

4.

How many degrees is angle c ?

a)

20

b)

45

c)

70

d)

none of the above

5.

How many degrees is angle d ?

a)

20

b)

45

c)

70

d)

none of the above

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.

extension

diagram shows a tangent to a circle with centre O. Find x and y in each case

a)

x = 12°

y = 156°

b)

x = 100°

y = 50°

c)

x = 62°

y = 28

d)

x = 30°

y = 60°

9.

Find the shaded angle

(a)

10.

Find the shaded angle

a)

57

b)

303

c)

61.5

11.

Find the shaded angle

a)

74

b)

148

c)

32

12.

Find the shaded angle

(a)

13.

Find the shaded angle

a)

58

b)

64

c)

32

14.

Label the YELLOW arrow

(a)

15.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

16.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

17.

The discriminant is

a)

ax² + bx + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

18.

If the discriminant equals 0, then the quadratic has:

a)

1 Rational Solution

b)

2 Rational Solutions

c)

No solutions

d)

2 Complex Solutions

19.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

20.

a)

4a/2

b)

2a

c)

3a/2

d)

4a/4

21.

a)

a²/6

b)

2a/3a

c)

3a/2a

d)

3/2

22.

a)

6am/10a

b)

9

c)

9ma/3a

d)

6m

23.

a)

3c

b)

9b/4a

c)

4a

d)

2c/b

24.

$\frac{x^2+5x+4}{x^2+4x+3}$

a)

$\frac{x+4}{x+3}$

b)

$\frac{x+1}{x+3}$

c)

$\frac{x+4}{x+1}$

d)

$\frac{x+3}{x+4}$

25.

Who is this?

a)

Grass Finn

b)

Grass Man

c)

Grassy

d)

Fern

Circle Theorems Chord and Angle Inside Circle

Total questions: 25

Worksheet time: 34mins

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