Free Printable Grade 10 Third Quarter Review

1.

Find the value of $\angle\ CAQ$ ?

a)

$63\degree$

b)

$56\degree$

c)

$74\degree$

d)

$90\degree$

2.

What is the value of angle $\angle OAC$ ?

a)

$16\degree$

b)

$22\degree$

c)

$18\degree$

d)

$21\degree$

3.

What is the measurement of $\angle BAO$ ?

a)

28 degrees

b)

30 degrees

c)

25 degrees

d)

32 degrees

4.

Find the measurement of angle BCA.

a)

49 degrees

b)

58 degrees

c)

62 degrees

d)

56 degrees

5.

Find the measurement of angle ABE.

a)

81 Degrees

b)

72 Degrees

c)

64 Degrees

d)

75 Degrees

6.

Find the measurement of angle BAE.

a)

81 Degrees

b)

72 Degrees

c)

64 Degrees

d)

75 Degrees

7.

What is the value of x?

a)

75 degrees

b)

105 degrees

c)

83 degrees

d)

90 degrees

8.

What is the value of x?

a)

75 degrees

b)

105 degrees

c)

83 degrees

d)

90 degrees

9.

What is the value of "a"?

a)

65 degrees

b)

70 degrees

c)

45 degrees

d)

90 degrees

10.

What is the value of "b"?

a)

65 degrees

b)

70 degrees

c)

45 degrees

d)

90 degrees

11.

What is the value of "c"?

a)

65 degrees

b)

70 degrees

c)

45 degrees

d)

90 degrees

12.

What is the value of "d"?

a)

65 degrees

b)

70 degrees

c)

45 degrees

d)

90 degrees

13.

If segment PQ is the tangent to a circle at A and segment AC is a chord, then a is equal to what?

a)

65 degrees

b)

70 degrees

c)

43 degrees

d)

42 degrees

14.

Find x.

a)

100 degrees

b)

200 degrees

c)

160 degrees

d)

80 degrees

15.

Find y.

a)

59 degrees

b)

118 degrees

c)

150 degrees

d)

75 degrees

16.

find x.

a)

49 degrees

b)

50 degrees

c)

76 degrees

d)

75 degrees

17.

Find x.

a)

76 degrees

b)

50 degrees

c)

44 degrees

d)

83 degrees

18.

Find x.

a)

180 degrees

b)

85 degrees

c)

130 degrees

d)

43 degrees

19.

Find x

a)

15

b)

2

c)

8

d)

12

20.

find x.

a)

83 degrees

b)

34 degrees

c)

48 degrees

d)

140 degrees

21.

Find x.

a)

34 degrees

b)

60 degrees

c)

78 degrees

d)

105 degrees

22.

Find x.

a)

29 degrees

b)

75 degrees

c)

83 degrees

d)

90 degrees

23.

Find x.

a)

111 degrees

b)

222 degrees

c)

95 degrees

d)

230 degrees

24.

Find x.

a)

35 degrees

b)

44 degrees

c)

25 degrees

d)

86 degrees

25.

Find x.

a)

20 degrees

b)

50 degrees

c)

65 degrees

d)

70 degrees

26.

Find angle 1.

a)

46

b)

90

c)

35

d)

92

27.

Find angle 2.

a)

46

b)

90

c)

35

d)

92

28.

Find angle 3.

a)

46

b)

90

c)

35

d)

92

29.

Find angle 4.

a)

46

b)

90

c)

35

d)

92

30.

Find angle 5.

a)

88

b)

55

c)

35

d)

92

31.

Find angle 6.

a)

88

b)

55

c)

35

d)

92

32.

If arc RQ=14 cm find AQ.

a)

12 cm

b)

13 cm

c)

22 cm

d)

11.5 cm

33.

If arc AP=11 cm find RSP.

a)

12 cm

b)

13 cm

c)

22 cm

d)

11.5 cm

34.

a)

80 degrees

b)

50 degrees

c)

110 degrees

d)

75 degrees

35.

Find x.

a)

90 degrees

b)

50 degrees

c)

80 degrees

d)

75 degrees

36.

Find x.

a)

80 degrees

b)

112 degrees

c)

75 degrees

d)

70 degrees

37.

Find x.

a)

103 degrees

b)

32 degrees

c)

75 degrees

d)

105 degrees

38.

Find x.

a)

88 degrees

b)

75 degrees

c)

103 degrees

d)

56 degrees

39.

Find Angle AOB.

a)

110 degrees

b)

85 degrees

c)

72 degrees

d)

108 degrees

40.

Find Angle BOC.

a)

110 degrees

b)

85 degrees

c)

72 degrees

d)

108 degrees

41.

Find Angle ABO.

a)

36 degrees

b)

54 degrees

c)

72 degrees

d)

108 degrees

42.

Find Angle CBO.

a)

36 degrees

b)

54 degrees

c)

72 degrees

d)

108 degrees

43.

Find angle QPR.

a)

38 degrees

b)

20 degrees

c)

86 degrees

d)

35 degrees

44.

Find AB.

a)

18 cm

b)

9 cm

c)

20 cm

d)

50 cm

45.

Find angle ABO.

a)

40 degrees

b)

45 degrees

c)

75 degrees

d)

50 degrees

46.

Find x and y.

a)

x = 72 degrees

y = 144 degrees

b)

x = 72 degrees

y = 36 degrees

c)

x = 72 degrees

y = 144 degrees

d)

x = 36 degrees

y = 72 degrees

47.

Find y.

a)

6 cm

b)

7 cm

c)

9 cm

d)

5 cm

48.

find z

a)

4 cm

b)

5 cm

c)

6 cm

d)

7 cm

49.

find z

a)

11 cm

b)

24 cm

c)

12 cm

d)

6 cm

50.

find x.

a)

10 cm

b)

20 cm

c)

5 cm

d)

6 cm

51.

find x.

a)

24 cm

b)

48 cm

c)

50 cm

d)

96 cm

52.

find y

a)

20 cm

b)

18 cm

c)

10 cm

d)

9 cm

53.

Find the value of x.

a)

7

b)

8

c)

4

d)

9

54.

If AC is 22, what is AB?

a)

25

b)

11

c)

22

d)

24

55.

If DE is 48, what is CE?

a)

25

b)

11

c)

22

d)

24

56.

If AB is 48, what is DE?

a)

48

b)

11

c)

22

d)

24

57.

If DC is 25, what is AB?

a)

12.5

b)

30

c)

50

d)

25

58.

Find arc AB.

a)

50 degrees

b)

100 degrees

c)

30 degrees

d)

130 degrees

59.

Find arc EA.

a)

50 degrees

b)

100 degrees

c)

30 degrees

d)

130 degrees

60.

Find arc AED.

a)

50 degrees

b)

80 degrees

c)

30 degrees

d)

130 degrees

61.

Find arc ABC.

a)

50 degrees

b)

80 degrees

c)

30 degrees

d)

130 degrees

62.

Find arc ABC.

a)

180 degrees

b)

280 degrees

c)

80 degrees

d)

130 degrees

63.

Find arc DAC.

a)

180 degrees

b)

280 degrees

c)

260 degrees

d)

130 degrees

64.

Find x.

a)

10.36

b)

13.46

c)

15.82

d)

21.63

65.

Find PL.

a)

17

b)

17.5

c)

10

d)

10.5

66.

Find x.

a)

3.53

b)

8.11

c)

4.27

d)

5.26

67.

Find the measure of Arc MN

a)

66

b)

73.5

c)

147

d)

33

68.

Find the measure of Arc MN

a)

96

b)

114

c)

228

d)

48

69.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

70.

Find the value of x.

a)

25

b)

30.25

c)

7

d)

38

71.

Find the value of x.

a)

15

b)

13

c)

3

d)

6

72.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

73.

Find the value of x.

a)

12.5

b)

8

c)

35

d)

16

74.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

75.

What do we call the red line?

a)

Chord

b)

Arc

c)

Diameter

d)

Segment

76.

Determine the value of x and y.

a)

$x=64^{\circ\ }$ and $y=4$

b)

$x=4$ and $y=64^{\circ}$

c)

$x=116^{\circ}$ and $y=4$

d)

$296^{\circ}$ and undefined

77.

Use the diagram of Circle A for the following question.
If $\overline{BE}\cong\overline{CD}$ , then what can you determine about the arc measures?
(Hint: Use Chord Theorem #1)

a)

$measure\ of\ arc\ BE\ +\ measure\ of\ arc\ CD=\ 360^{\circ}$

b)

$measure\ of\ arc\ BE\cong measure\ of\ arc\ CD$

c)

$measure\ of\ arc\ BC\cong measure\ of\ arc\ ED$

d)

Not enough information

78.

Use Circle A for the following problem.
If measure arc BD is $125^{\circ}$ , then what is the measure of arc CB?
(Hint: Use Chord Theorem #1)

a)

$360^{\circ}$

b)

$110^{\circ}$

c)

$235^{\circ}$

d)

$250^{\circ}$

79.

Solve for x.

a)

10

b)

5

c)

18

d)

9

80.

In a circle, if a diameter is is perpendicular to a chord, then:

a)

it bisects the chord

b)

it bisects the corresponding arc

c)

it bisects BOTH the chord and its arc

d)

none of these answers are correct

81.

Find the measure of Arc MN

a)

74

b)

148

c)

37

d)

106

82.

Is the set of all points that are of the same distance from point in a plane.

a)

chord

b)

circle

c)

plane

d)

chord

83.

The segment from the center to any point on the circle is called__________.

a)

chord

b)

radius

c)

diameter

d)

segment

84.

A segment whose endpoints both lie on the circle is called _______.

a)

chord

b)

diameter

c)

radius

d)

arc

85.

A chord that passes through the center of the circle is called ________.

a)

radius

b)

major arc

c)

interior of the corcle

d)

diameter

86.

A ___________ is an angle whose vertex is the center of the circle.

a)

central angle

b)

inscribed angle

c)

right angle

d)

obtuse angle

87.

What is segment OC?

a)

diameter

b)

radius

c)

tangent

d)

chord

88.

What is line AB?

a)

diameter

b)

chord

c)

secant

d)

tangent

89.

What is line PT?

a)

chord

b)

secant

c)

point of tangency

d)

tangent

90.

What is P?

a)

chord

b)

secant

c)

point of tangency

d)

tangent

91.

What is the measure of angle y?

a)

104 degrees

b)

128 degrees

c)

76 degrees

d)

142 degrees

92.

a)

56 degrees

b)

68 degrees

c)

136 degrees

d)

112 degrees

93.

a)

30

b)

120

c)

60

d)

90

94.

Find w.

a)

142 degrees

b)

128 degrees

c)

52 degrees

d)

38 degrees

95.

Find x.

a)

76 degrees

b)

128 degrees

c)

142 degrees

d)

104 degrees

96.

Find angle CAB.

a)

130 degrees

b)

40 degrees

c)

50 degrees

d)

90 degrees

97.

Find angle QPS.

a)

150

b)

135

c)

30

d)

45

98.

Find angle BCD.

a)

100 degrees

b)

60 degrees

c)

50 degrees

d)

45 degrees

99.

Find angle DAB.

a)

100 degrees

b)

60 degrees

c)

50 degrees

d)

45 degrees

100.

If a line is perpendicular to a radius, then it is not tangent to the circle.

a)

True

b)

False

101.

If a line is perpendicular to a tangent at the point of tangency, then it passess through the center of the circle.

a)

True

b)

False

102.

If two line segments from the same external point are not tangent to a circle, then the two segments are congruent.

a)

True

b)

False

103.

If two line segments from the same external point are not tangent to a circle, then If a line is tangent to a cricle, then it is perpendicular to the chord at the point of tangency.

a)

True

b)

False

104.

If a line is perpendicuar to the tangent at the point of tangency, then it passes through the center of the circle.

a)

True

b)

False

105.

If two line segments from different external point are tangent to a circle, then the two segments are congruent.

a)

True

b)

False

106.

Each chord in a circle subtend equal arcs.

a)

True

b)

False

107.

If segment AC is a diameter and B is any point on the circumference apart from A and C, then angle ABC is a right angle.

a)

True

b)

False

108.

Angles in the same segment are supplementary.

a)

True

b)

False

109.

In a cricle, the lengths of arcs are proportional to the sizes of angles at the center by the arcs.

a)

True

b)

False

110.

The central angle of a circle subtended by an arc is hald the inscribed angle subtended by the same arc.

a)

True

b)

False

Grade 10 Third Quarter Review

Total questions: 110

Worksheet time: 2hrs 11mins

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