Free Printable Final Exam Cumulative Review

1.

The _____ is the distance from the center to any point on the circle.

a)

diameter

b)

radius

c)

π

d)

center

2.

A _____ is half of a circle.

a)

circumference

b)

pi

c)

semicircle

d)

composite figure

3.

Which segment is the diameter?

a)

AC

b)

BD

c)

LM

d)

CE

4.

What is the m∠U?

a)

38⁰

b)

19⁰

c)

76⁰

d)

90⁰

5.

Find the measure of major arc PQ (the question mark).

a)

260°

b)

100°

c)

25°

d)

130°

6.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

What can you conclude?

a)

AB and AC are not congruent.

b)

AB= half of AC

c)

AC = half of AB

d)

AB=AC

10.

What is the name of the angle pictured?

a)

Central angle

b)

Inscribed angle

c)

Interscribed angle

d)

Circumscribed angle

11.

What is the length of TR?

a)

4

b)

6

c)

9

d)

11

12.

Solve for a.

a)

6

b)

6.67

c)

8.33

d)

10

13.

Solve for x.

a)

7.94

b)

8

c)

10.58

d)

112

14.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

15.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

16.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

17.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

18.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 9 mm
height = 35 mm

a)

296.7 mm³

b)

8901.9 mm³

c)

2967.3 mm³

d)

890.2 mm³

19.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

20.

Find the volume of each cylinder. Use 3.14 for π. Round to the nearest tenth.
radius = 60 m
height = 75 m

a)

84,780 m³

b)

847,800 m³

c)

14,130 m³

d)

141.3 m³

21.

3 Tennis balls fit snuggly in a cylindrical canister with a height of 10in and a diameter of 4in. What is the volume of the 'air' in the canister when the 3 tennis balls are in the canister?

a)

4π in³

b)

8π/3 in³

c)

8π in³

d)

6.5π in³

22.

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

a)

$y=\frac{1}{3}x-3$

b)

$y=-\frac{1}{3}x-9$

c)

$y=\frac{1}{3}x-1$

d)

$y=-3x-9$

23.

Write an equation that is parallel to
y = -2x + 4
and runs through the point (-3, 2 )

a)

y = - 2x - 4

b)

y = - 2x - 8

c)

y = - 2x + 4

24.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

25.

What slope is parallel to:

m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

26.

On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). What is the area of the shape if each grid unit equals one centimeter?

a)

$18cm^2$

b)

$24cm^2$

c)

$36cm^2$

d)

$42cm^2$

27.

Find the perimeter of the triangle to the nearest whole unit.

(a)

28.

One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?

a)

1/13

b)

1/4

c)

3/16

d)

1/10

29.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

30.

Sarah, Sammie, Victor, Vicki, Valerie are in a math group. Two students are randomly chosen to be co-leaders. What is the probability that both students' names begin with the letter V?

a)

3/5 times 3/5 = 9/25

b)

3/5 times 1/2 = 3/10

c)

1/5 times 2/5 = 2/15

d)

3/5 times 1/4 = 3/20

31.

Marvin has a standard deck of cards.

P (Ace or 5)

a)

1/13

b)

2/13

c)

1/26

d)

8/50

32.

What is the probability of spinning red?

a)

0

b)

1/2

c)

3/4

d)

1

33.

What is the probability of choosing a vowel from the alphabet?

a)

21/26

b)

5/26

c)

1/21

d)

7/21

34.

What is the probability that they speak French given that they are a girl?

a)

2.14

b)

.24

c)

.4

d)

.8571

35.

What is the probability that a student plays an instrument?

a)

.55

b)

.5

c)

.45

d)

.4

36.

A day in the year is randomly chosen. Given the day is in the month of December, what is the probability the day is the 25^th? (December has 31 total days.)

a)

8.5%

b)

8.84%

c)

80.6%

d)

3.2%

37.

What is P(Foreign language | Sport)?

a)

14/27

b)

7/12

c)

23/47

d)

37/47

38.

What percentage of the days that it rained, did they forecast no rain?

a)

About 20%

b)

About 18%

c)

About 14%

d)

About 12%

39.

Which of the following are Avengers? (Select All)

a)

Antman

b)

Spider-Man

c)

Martian Man Hunter

d)

Phil Coulson

e)

Cyborg

40.

What do we call the red line?

a)

Chord

b)

Arc

c)

Diameter

d)

Segment

41.

Solve for x.

a)

37.5

b)

11

c)

118

d)

15

42.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

43.

Find the area of the sector, rounding your answer to 1d.p.

a)

209.4cm²

b)

209.3cm²

c)

104.7cm²

d)

104.1cm²

44.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

45.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

46.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

47.

Describe the cross section.

a)

rectangle

b)

square

c)

oval

d)

circle

48.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

49.

What is the distance between points (10, 7) and (2, 7) on a coordinate plane?

a)

2

b)

9

c)

10

d)

8

50.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

a)

b)

c)

d)

51.

6) The ratio is 3:1. How many parts are there?

a)

2

b)

3

c)

4

d)

5

52.

Determine the ratio of the directed line segment AB when partitioned by point P.

a)

1:2

b)

2:1

c)

1:1

d)

3:1

e)

1:4

53.

X ∩ Y ∩ Z

a)

{ }

b)

{Phillip}

c)

{Billy, Phillip, Bryan, Perez}

d)

{Billy, Perez, Bryan}

54.

What statement does the shaded region represent?

a)

A or B

b)

A and not B

c)

Not A

d)

Not A or B

Final Exam Cumulative Review

Total questions: 54

Worksheet time: 1hrs 26mins

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