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Worksheets

Unit 4 Review All Topics

Total questions: 100

Worksheet time: 7hrs 2mins

Name
Class
Date
1.
What is the radius of this circle?
a)
18 ft
b)
72 ft
c)
38 ft
d)
14 ft
2.
What is the circumference of the circle?
a)
36 ft
b)
18π ft
c)
108π ft
d)
36π ft
3.
A bicycle tire has a radius of 27 inches. What is the circumference of the tire?
a)
27π inches
b)
13.5 inches
c)
81 inches
d)
54π inches
4.
What is the diameter of this circle?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
5.
A DVD has a radius of 15 millimeters. What is the circumference in terms of pi?
a)
30π mm
b)
15π mm
c)
15π mm
d)
30 mm
6.
What is the circumference of a circle with a radius of 11 inches in terms of pi?
a)
11π
b)
22π
c)
5.5π
d)
7.
What is the diameter?
a)
8 cm
b)
16 cm
c)
10 cm
d)
4 cm
8.
What is the circumference of a circle with a radius of 9 inches in terms of π?
a)
9 π square units
b)
18 π square units
c)
25 π square units
d)
50 π square units
9.
The circumference of a circle is...
a)
The measurement from an edge of a circle to another edge.
b)
The measurement around the circle
c)
The measurement from an edge of a circle to another edge going through the center
d)
The measurement from the center of the circle to an edge of the circle
10.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a radius of 3.5 feet. What is the ring's circumference in terms of π?
a)
3π ft
b)
7π ft
c)
12π ft
d)
9π ft
11.
If my radius is 10ft, what is my diameter?
a)

20 ft

b)

5 ft3

c)

20 ft2

d)

62.8 ft

12.

When measuring the CIRCUMFERENCE of the circle, the answer would be measured in:

a)

centimeters

b)

square centimeters

c)

cubic centimeters

13.

When measuring the AREA of the circle, the answer would be measured in:

a)

inches

b)

square inches

c)

cubic inches

14.
The distance halfway across the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
15.
What is the radius of this circle?
a)
18
b)
36
c)
9
d)
8
16.
Mrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.
a)
C = π5
b)
C = (2)(π)(2.5)
c)
A = π52
d)
A = π2.52
17.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
18.

What is the radius?

a)

18 ft

b)

72 ft

c)

38 ft

d)

14 ft

19.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
20.

Find the area of the circle below.

a)

113.04 cm²

b)

18.84 cm²

c)

9 cm²

d)

28.26 cm²

21.
Find the area of the circle.
a)
21.98 units²
b)
153.86 units²
c)
43.96 units²
d)
615.44 units²
22.
a line from the center point to the edge of the circle
a)
diameter
b)
radio
c)
radius
d)
pi
23.

What is the area of a circle with a diameter of 10 cm ?

a)

31.4 cm²

b)

78.5 cm²

c)

15.7 cm²

d)

314 cm²

24.

What is the area of a circle given that the diameter is 15 inches? (Round your answer to the nearest hundredth place).

a)

23.55 in2

b)

176.63 in2

c)

47.1 in1

d)

706.5 in2

25.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
26.

A cruise ship has a large, circular window. It has a diameter of 6 meters. How many square meters of glass is the window made of?

a)

31.25 m2

b)

29.55 m2

c)

30.36 m2

d)

28.27 m2

27.

True or False. These angles are complementary.

a)

True

b)

False

28.

Find m.

(a)  

29.

True or False.

These angles are supplementary.

a)

True

b)

False

30.

Find M.

(a)  

31.

True or False. ∠1 and ∠2 are vertical angles.

a)

True

b)

False

32.

What is the measure of angle 2 ?

What is the measure of ∠2 ?

(a)  

33.

Which of the following definitions apply to ∠1 and ∠2?

a)

Complementary Angle

b)

Supplementary Angle

c)

Vertical Angle

d)

None

34.

Which of the following definitions apply to ∠P and ∠Q?

a)

Vertical angles

b)

Complementary angles

c)

Adjacent angles

d)

Supplementary angles

35.

Which of the following definitions apply to ∠1 and ∠3?

a)

Vertical angles

b)

Complementary angles

c)

Adjacent angles

d)

Supplementary angles

36.

Which of the following definitions apply to ∠1 and ∠2?

a)

Complementary Angle

b)

Supplementary Angle

c)

Vertical Angle

d)

None

37.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

38.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

39.

Supplementary angles always add up to

(a)  

40.

Complementary angles always add up to

(a)  

41.

Complementary angles always add up to

(a)  

42.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

43.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
44.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

45.

What is a correct equation setup to find the missing Angle?

a)

55 + 100 + 180 = x

b)

100 - 55 - x = 180

c)

100 + 55 + x = 180

d)

55 + 100 = x

46.

What is the measure of the unlabeled angle of the triangle?

a)

90o

b)

82o

c)

98o

d)

75o

47.

Find the measure of the indicated angle.

a)

95o

b)

85o

c)

35o

d)

45o

48.

What is the value of the missing angle?

a)

61o

b)

50o

c)

60o

d)

69o

49.

What is the measure of angle b

a)

146o

b)

34o

c)

36o

d)

136o

50.

What is the measure of the missing angle?

a)

1400

b)

1300

c)

50o

d)

90o

51.

What is the measure of angle C?

a)

155o

b)

115o

c)

75o

d)

65o

52.

What type of angle measures LESS than 90 degrees?

a)

an acute angle

b)

an obtuse angle

c)

a right angle

d)

a straight angle

53.

What type of angle measures MORE than 90 degrees, but not 180 degrees?

a)

an acute angle

b)

an obtuse angle

c)

a right angle

d)

a straight angle

54.

What type of angle measures EXACTLY 90 degrees?

a)

an acute angle

b)

an obtuse angle

c)

a right angle

d)

a straight angle

55.

What type of angle measures EXACTLY 180 degrees?

a)

an acute angle

b)

an obtuse angle

c)

a right angle

d)

a straight angle

56.

What is the measurement of this angle?

a)

A

b)

B

c)

C

d)

D

57.

What is the measurement of this angle?

a)

A

b)

B

c)

C

d)

D

58.

What is the measure of the other part of angle D?

a)

65

b)

70

c)

75

d)

135

59.

Is 62° an 'acute', 'obtuse', 'right' or 'straight' angle?

a)

acute

b)

obtuse

c)

right

d)

straight

60.

Is 142° an 'acute', 'obtuse', 'right' or 'straight' angle?

a)

acute

b)

obtuse

c)

right

d)

straight

61.

Is 90° an 'acute', 'obtuse', 'right' or 'straight' angle?

a)

acute

b)

obtuse

c)

right

d)

straight

62.

Use the image to answer the question. What is the measure of the angle?

a)

180

b)

140

c)

40

d)

20

63.
What is the measure of the following angle?  
a)
11 degrees.
b)
40 degrees.
c)
67 degrees.
d)
168 degrees. 
64.
What is the measure of the following angle?
a)
78 degrees.
b)

102 degrees.

c)
190 degrees.
d)
58 degrees. 
65.
What is the measure of the angle?
a)
110 degrees. 
b)
140 degrees.
c)
150 degrees.
d)
170 degrees. 
66.
What is the measure of the following angle?  
a)
56 degrees.
b)
180 degrees.
c)
142 degrees.
d)

123 degrees. 

67.

Measure d\angle d  .

a)

50°50\degree  

b)

130°130\degree  

c)

180°180\degree  

68.

Measure c\angle c  .

a)

55°55\degree  

b)

65°65\degree  

c)

125°125\degree  

d)

135°135\degree  

69.
Find the total surface area of the figure.
a)
500 ft2
b)
515 ft2
c)
525 ft2
d)
510 ft2
70.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
71.

Find the total surface area of the figure shown.

a)

672 cm2

b)

480 cm2

c)

576 cm2

d)

864 cm2

72.
Find the surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
73.

Find the total surface area of the shape shown. Use the top and bottom faces as bases.

a)

119.28 in2

b)

102.78 in2

c)

84 in2

d)

101.76 in2

74.

What is the lateral surface area of the figure shown? (Base is shaded dark)

a)

369 in2

b)

536.66 in2

c)

619.48 in2

d)

453.84 in2

75.
What is the height of this figure?
a)
6 cm
b)
14 cm
c)
4 cm
d)
24 cm
76.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
77.
What is the total surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
78.
Find the lateral surface area of the figure.
a)
456 m2
b)
1444 m2
c)
1245 m2
d)
816 m2
79.
Find the Total Surface area of the cylinder. 
a)
62.8m
b)
477.28 cm2
c)
 235.5 cm3
d)
942 cm2
80.

Find the total surface area of the cylinder.

Don't forget to divide the diameter by 2 to get the radius.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

81.
What is the total surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
82.

What is the volume of both shapes?

a)

150 cm3

b)

65 cm3

c)

300 cm3

d)

225 cm3

83.

What shapes are in this figure?

a)

Rectangular Prism and Triangular Prism

b)

Square and Triangle

c)

Cube and Triangular Prism

84.

Which equation could help to find the volume of this composite figure.

a)

100 + 140 = 240 cm3100\ +\ 140\ =\ 240\ cm^3

b)

7 + 2 + 20 + 10+ 5 = 44cm37\ +\ 2\ +\ 20\ +\ 10+\ 5\ =\ 44cm^3

c)

200 + 140 = 340 cm3200\ +\ 140\ =\ 340\ cm^3

d)

7 10  2  20  5 = 14000cm37\ \cdot10\ \cdot\ 2\ \cdot\ 20\ \cdot\ 5\ =\ 14000cm^3

85.
a)
Prisms
b)
Pyramids
c)
Cones
d)
Spheres
86.

Find the volume.

a)

80 cubic cm

b)

108 cubic cm

c)

28 cubic cm

d)

145 cubic cm

87.

Find the volume of this composite prism.

a)

20 cm 3

b)

108 cm 3

c)

36 cm 3

d)

60 cm 3

e)

864 cm 3

88.

What is the volume of the composite solid?

a)

216 m3216\ m^3

b)

248 m3248\ m^3

c)

240 m3240\ m^3

d)

224 m3224\ m^3

89.
What is the total volume of this figure?
a)
60
b)
100
c)
120
d)
300
90.

Which correctly shows how to find the volume of a cylinder.

a)

V=πr2hV=\pi r^2h

b)

V=lwhV=lwh

c)

V=πhV=\pi h

d)

a2+b2=c2a^2+b^2=c^2

91.

What is the volume of a cylinder with a diameter of 10cm and a height of 5cm?

a)

1570.8 cm3

b)

98.2 cm3

c)

392.7 cm3

d)

196.3 cm3

92.

What is the volume of this cylinder?

a)

2002.8 mm3

b)

20428.2 mm3

c)

8011.1 mm3

d)

127.5 mm3

93.

Find the volume of this cylinder.

a)

1608.5 cm3

b)

48 cm3

c)

402.1 cm3

d)

512 cm3

94.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
95.
Find the volume of each cylinder.  Use 3.14 for π.  Round to the nearest tenth.
radius = 8 in 
height = 42 in
a)
8440.3 in3
b)
844.0 in3
c)
1055.0 in3
d)
10.6 in3
96.
Find the volume of each cylinder.  Use 3.14 for π.  Round to the nearest tenth.
radius = 4 ft
height = 32 ft
a)
401.9 ft3
b)
1607.7 ft3
c)
160.8 ft3
d)
40.2 ft3
97.
Daniel wants to buy cookies for her friend. The radius of a cookie is 5 inches. What is the cookie’s circumference?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in 
98.

A circle has a diameter of 17 inches. What is the circumference?

a)

106.76 inches

b)

53.38 inches

c)

907.46 inches

d)

34 inches

99.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
100.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius