Free Printable Mixed Review

1.

What is this called?

a)

Radius

b)

Central Angle

c)

Major Arc

d)

Inscribed Angle

2.

What is this called?

a)

Tangent Line

b)

Central Angle

c)

Chord

d)

Inscribed Angle

3.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

4.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

5.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

6.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

7.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

8.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

9.

Find the measure of angle x.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

10.

How many degrees are in a cirlce?

a)

90

b)

180

c)

270

d)

360

11.

a)

145

b)

85

c)

130

d)

115

12.

a)

70

b)

180

c)

290

d)

110

13.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

14.

What is the measure of arc PQ?

a)

47

b)

57

c)

67

d)

77

15.

What is the measure of angle DEF?

a)

72

b)

73

c)

74

d)

75

16.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

17.

What is the measure of arc GF?

a)

168

b)

169

c)

167

d)

165

18.

What is the measure of arc AD?

a)

137

b)

136

c)

135

d)

134

19.

Solve for x.

a)

140

b)

89

c)

51

d)

38

20.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

21.

Solve for x.

a)

10

b)

85

c)

170

d)

180

22.

a)

240

b)

230

c)

205

d)

255

23.

What is the value of x?

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

24.

What is x?

a)

15

b)

23

c)

2

d)

92

25.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

26.

What is the measure of angle DEF?

a)

72

b)

73

c)

74

d)

75

27.

Find the area of the shaded sector.

a)

2.1

b)

10.5

c)

3.1

d)

1.9

28.

Find the area of the shaded sector.

a)

30.8

b)

5.5

c)

18.1

d)

3.3

29.

Find the area of the shaded sector.

a)

17.8

b)

53.4

c)

19.9

d)

59.7

30.

Find the area of the shaded sector.

a)

5.7

b)

2.2

c)

76.0

d)

29.8

31.

Find the area of the shaded sector.

a)

39.7

b)

139.0

c)

4.3

d)

15.0

32.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

33.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

34.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

35.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

36.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

37.

How many students are in both the math club and science club, but not the chess club?

a)

1

b)

3

c)

5

d)

4

38.

What is the probability a student is in the math can science club, but not the chess club?

a)

$\frac{1}{23}$

b)

$\frac{3}{23}$

c)

$\frac{4}{23}$

d)

$\frac{5}{23}$

39.

Based on the results of the survey, which TWO statements are true?

a)

A total of 221 students were surveyed

b)

A total of 107 9th grade students were surveyed

c)

More 10th grade students were surveyed than 9th grade student.

d)

More than 50% of the students surveyed exercised less than 5 hours last week.

e)

Less than 50% of the 10th grade students surveyed exercised 5 or more hours last week.

40.

Based on the survey, find P(Grade 9 | < 5 hours)

a)

$\frac{49}{107}$

b)

$\frac{7}{16}$

c)

$\frac{49}{221}$

d)

$\frac{49}{172}$

41.

Events M and N have probabilities such that P(M) = 0.4, P(N) = 0.28, P(M $\cap$ N) = 0.12, and P(M $\cup$ N) = 0.56. Are events M and N independent?

a)

Yes, because P(M) + P(N) = P(M $\cup$ N)

b)

Yes, because P(M) * P(N) $\ne$ P(M $\cup$ N)

c)

No, because P(M)*P(N) $\ne$ P(M $\cap$ N)

d)

No, because P(M) $-$ P(N) $\ne$ P(M $\cap$ N)

42.

What is the probability that a randomly selected student in the class is a female given that the student is right-handed?

a)

$\frac{1}{12}$

b)

$\frac{12}{30}$

c)

$\frac{12}{23}$

d)

$\frac{23}{30}$

43.

Given set P = {-5, 1, 3} and set Q = {-4, -2, 1, 2, 3}, what is P $\cap$ Q?

a)

{1, 3}

b)

{1, 2, 3}

c)

{-5, -4, -2, 1, 2, 3}

d)

There is no intersection

44.

The guidance department has reported that of the senior class, 2.3% are members of the Key Club (K). 8.6% are enrolled in AP Physics (P). 1.9% are in both. What is the probability of P given K?

a)

13.4%

b)

22.1%

c)

26.7%

d)

82.6%

45.

Five years after 650 high school seniors graduated, 400 had a college degree. 310 were married. 200 of the students with a college degree were married. What is the probability of a student not having a college degree OR is married?

a)

$\frac{5}{13}$

b)

$\frac{31}{65}$

c)

$\frac{9}{13}$

d)

$\frac{56}{65}$

46.

Which of the following is an independent event?

a)

Rolling a die, getting a 6, rolling it again and getting a 6.

b)

Pick a sock out of the mismatched sock basket, and picking its mate.

c)

Pulling a letter from the unused pile while playing Scrabble, and then choosing a second letter.

d)

Picking two pieces of candy from the candy jar.

47.

Which of the following are dependent events?

a)

Rolling a die, getting a 6. Followed by flipping a coin and getting heads.

b)

Flipping two coins, getting heads on one, tails on the other.

c)

Drawing a red marble, replacing it, drawing a blue marble.

d)

Drawing a yellow marble, keeping it, drawing a green marble.

48.

There are 12 red marbles (R), 8 green marbles (G), 3 yellow marbles (Y), and 7 blue marbles (B). If a marble is drawn, replaced, and a second draw is made, what is the probability of choosing a red marble followed by choosing a green marble?

a)

$\frac{8}{75}$

b)

$\frac{16}{145}$

c)

0, there is no intersection of red and green marbles.

d)

I really wish I knew how to do this type of problem.

49.

There are 12 red marbles (R), 8 green marbles (G), 3 yellow marbles (Y), and 7 blue marbles (B). If a marble is drawn, replaced, and a second draw is made, what is the probability of P(G|R)

a)

$\frac{4}{15}$

b)

0, there is no intersection of green and red.

c)

$\frac{8}{75}$

d)

$\frac{2}{5}$

50.

There are 12 red marbles (R), 8 green marbles (G), 3 yellow marbles (Y), and 7 blue marbles (B). If a marble is drawn, NOT replaced, and a second draw is made, what is the probability of red followed by blue?

a)

$\frac{14}{145}$

b)

$\frac{7}{45}$

c)

$\frac{12}{145}$

d)

I really wish I knew how to do this type of problem.

51.

Given set P = {-5, 1, 3} and set Q = {-4, -2, 1, 2, 3}, what is P $\cup$ Q?

a)

{1, 3}

b)

{1, 2, 3}

c)

{-5, -4, -2, 1, 2, 3}

d)

There is no union between these two sets.

52.

What is the equation of a line that is parallel to the graph of y = 2x - 5 and passes through the point (8, 10)?

a)

y = $-\frac{1}{2}$ x + 1

b)

y = $\frac{1}{2}$ x + 14

c)

y = 2x - 26

d)

y = 2x - 6

53.

Which of the following will prove $\Delta$ ABC is a right triangle?

a)

(slope of segment AB)(slope of (BC) = $-1$

b)

(slope of segment AB)(slope of (BC) = $1$

c)

distance from A to B = $-$ (distance from B to C)

d)

distance from A to B = distance from B to C

54.

A figure has the vertices A(0, 0), B(1, 3), C(0, 4), and D(-1, 1). What is the most precise classification for figure ABCD?

a)

Square

b)

Rectangle

c)

Parallelogram

d)

Rhombus

55.

Vertices of the triangle shown are (-2. 2), (4, -1), and (-2, -3). The best approximation of the perimeter of the triangle is ___?

a)

17 units

b)

18 units

c)

23 units

d)

19 units

56.

A playground is in the shape of a hexagon. If the scale is 1 unit = 5 yards, what is the best approximation of the number of yards of fencing needed to enclose the playground?

a)

75 yards

b)

80 yards

c)

85 yards

d)

90 yards

57.

Nathaniel drew a circle on a grid with a radius of 4 units and a center at (2, -1). Which of the following points are also on the circle?

a)

(2, -5) and (6, -1)

b)

(2, 3) and (-1, -1)

c)

(8, -4) and (6, -3)

d)

(4, 0) and (0, 4)

58.

A circle has the equation $x^2+y^2+12x+4y\ =\ -23.$ What are the center and radius of the circle?

a)

Center: (-6, -2)

Radius: $\sqrt[]{17}$

b)

Center: (-6, -2)

Radius: $\sqrt[]{-23}$

c)

Center: (6, 2)

Radius: 17

d)

Center: (6, 2)

Radius: $\sqrt[]{17}$

59.

Given that MNPQ is a rectangle with vertices M(3, 4), N(1, -6), and P(6, 7). find the coordinates of Q that completes the rectangle.

a)

(3, 4)

b)

(8, 3)

c)

(3, 8)

d)

(4, 3)

60.

Given lines p and q. Which of the following statements are NOT TRUE?

a)

The slopes of lines p and q are the same.

b)

Lines p and q are perpendicular

c)

$\Delta$ ABD $\cong\ \Delta$ CEF

d)

$\Delta$ ABD $\sim\ \Delta$ CEF

61.

Describe the relationship between the lines: y = 5x - 14 and $y=-\frac{1}{5}x\ +\ 1$

a)

They are parallel

b)

They are perpendicular

c)

They are intersecting

d)

They are the same line

62.

Which of the following is the equation of a circle with a radius of 3 and a center at (-2, 3)?

a)

$x^2+y^2+4x-6y+4=0$

b)

$x^2+y^2+4x-6y+22=0$

c)

$2x^2+2y^2+3x-3y+4=0$

d)

$3x^2+3y^2+4x-6y+4=0$

63.

What are the center and radius of the circle $x^2+y^2+6x-10y-30=0$

a)

Center (3, -5)

Radius = 64

b)

Center (3, -5)

Radius = 8

c)

Center (-3, 5)

Radius = 64

d)

Center (-3, 5)

Radius = 8

64.

What is the distance between (4, 3) and (2, -4)?

a)

53 units

b)

18 units

c)

$\sqrt[]{53}$ units

d)

$\sqrt[]{18}$ units

65.

What is the length of diagonal $\overline{VT}$ ? Round to the nearest whole unit.

a)

5 units

b)

6 units

c)

7 units

d)

34 units

66.

The rectangle is continuously rotated around a straight line to form an object with a volume of 150 $\pi$ . About which line could the rectangle be rotated?

a)

a long side

b)

a short side

c)

vertical line of symmetry

d)

horizontal line of symmetry

67.

A solid metal prism has a hole in the shape of a cylinder drilled through it. Find the volume of the remaining solid. Round to the nearest whole number

a)

95 cubic inches

b)

93 cubic inches

c)

77 cubic inches

d)

83 cubic inches

68.

________ is the amount of space inside of a 3D shape.

a)

Surface Area

b)

Volume

69.

How do you find the volume of a prism?

a)

Bh

b)

$\frac{1}{3}Bh$

c)

$\frac{4}{3}\pi r^3$

70.

What is the volume of the following cube?

a)

16 mm³

b)

64 mm³

c)

12 mm³

d)

256 mm³

71.

a)

70 units³

b)

19 units³

c)

88 units³

d)

165 cm³

72.

Calculate the volume.

a)

V = 80 cm³

b)

V = 960 cm³

c)

V = 1200 cm³

d)

V = 976 cm³

73.

What is the volume of this prism?

a)

16 cubic cm

b)

36 cubic cm

c)

144 cubic cm

74.

How do you find the volume of a cylinder?

a)

Bh

b)

$\frac{1}{3}Bh$

c)

$\frac{4}{3}\pi r^3$

75.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

76.

Sara and Alanna each drew a cylinder. Sara drew cylinder A. Alanna drew cylinder B. Which cylinder will have a greater volume?

a)

Cylinder A

b)

Cylinder B

c)

They have the same volume

77.

How do you find the volume of a sphere?

a)

Bh

b)

$\frac{1}{3}Bh$

c)

$\frac{4}{3}\pi r^3$

78.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

79.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

80.

How do you find the volume of a cone?

a)

Bh

b)

$\frac{1}{3}Bh$

c)

$\frac{4}{3}\pi r^3$

81.

Find the volume.

a)

3617.3 cm³

b)

1205.8 cm³

c)

361.7 cm³

d)

120.6 cm³

82.

Find the volume of the figure.

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

83.

Find the volume. Round to the nearest hundredth.

a)

37.70 in³

b)

56.54 in³

c)

169.65 in³

d)

84.82 in³

84.

How do you find the volume of a pyramid?

a)

Bh

b)

$\frac{1}{3}Bh$

c)

$\frac{4}{3}\pi r^3$

85.

a)

480 in³

b)

160 in³

c)

1.60 in³

d)

4.8 in³

86.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

108 km³

b)

324 km³

c)

216 km³

d)

648 km³

87.

Find the volume of the figure.

a)

1,800 cm³

b)

900 cm³

c)

600 cm³

d)

750 cm³

88.

Explain Cavalieri's Principle

a)

Two shapes have the same volume

b)

Two shapes that have the same base area and the same height have the same volume

c)

Two shapes that have the same area at each cross section and the same height have the same volume

d)

Two shapes with the same height have the same volume

89.

A rectangle will be rotated 360 degrees about a line that contains the point of intersection of its diagonals and is parallel to a side. What three-dimensional shape will be created as a result of the rotation?

a)

cube

b)

sphere

c)

cylinder

d)

rectangular prism

90.

According to Cavalieri's principle, which pair of shapes would have equal volumes?

a)

A cylinder and a right rectangular prism with equal heights

b)

a cone and a pyramid with equal base areas and heights

c)

a cone and a cylinder with equal base areas and heights

d)

a cylinder and a sphere with the same radius

91.

A right circular cone is cut. Which of the following is NOT a cross section of the cone?

a)

a circle

b)

a triangle

c)

an oval

d)

a rectangle

92.

Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the globe along the equator to be 24 inches. Which of the following measure is closest to the volume of her globe?

a)

268 cubic inches

b)

233 cubic inches

c)

61 cubic inches

d)

48 cubic inches

93.

The volume of an ice cream cone is 12 $\pi$ cubic centimeters. If the height of the cone is 9 centimeters, what is the diameter of the opening?

a)

2 cm

b)

4 cm

c)

9 cm

d)

12 cm

94.

A cone and a cylinder have the same radius and height. The volume of the cone is $100\pi$ cubic feet. What is the volume of the cylinder?

a)

$\frac{100\pi}{3}$ cubic feet

b)

33.33 $\pi$ cubic feet

c)

100 $\pi$ cubic feet

d)

300 $\pi$ cubic feet

95.

The radius of s circle is 6 inches. What is the area of a sector bounded by a central angle measuring 120 degrees?

a)

4 $\pi$ square inches

b)

8 $\pi$ square inches

c)

12 $\pi$ square inches

d)

24 $\pi$ square inches

96.

A circle with a radius of 4 inches has a central angle of 56 degrees. What is the length of the intercepted minor arc?

a)

$\frac{28}{45}\pi$ inches

b)

$\frac{56}{45}\pi^{ }$ inches

c)

$\frac{112}{45}\pi$ inches

d)

$\frac{304}{45}\pi$ inches

Mixed Review

Total questions: 96

Worksheet time: 4hrs 46mins

Similar Resources on Wayground