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Topic 8 Review

Total questions: 156

Worksheet time: 39hrs 0mins

Name
Class
Date
1.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
2.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet 
c)
10 feet
d)
4 feet
3.
A model of a flagpole has a scale of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
4.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
5.
The scale on a map is 1 inch = 200 miles. Smithville is 4.5 inches from Baytown on the map. What is the actual distance in miles between Smithville and Baytown?
a)
44.4 miles
b)
48.8 miles
c)
90 miles
d)
900 miles
6.
James is completing a scale model of a car that is 9 feet long and 6 feet wide. He uses a scale of 1 inch = 2 feet. What are the dimensions of the scale model?
a)
4.5 inches by 3 inches
b)
4.5 inches by 3.5 inches
c)
4.25 inches by 3 inches
d)
4 inches by 3 inches
7.
Solve the proportion.
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
8.

Whittemore Park Middle School is 30 feet tall. A 5 inch tall scale model of the school was made by the art club. What is the scale of the model?

a)

one inch = 6 feet

b)

one inch = 6 inches

c)

one inch = 72 inches

9.

The Waccamaw Bridge is 60 yards long. The length of a model of the bridge is 15 inches long. What is the scale of the model?

a)

one inch = .25 yards

b)

one inch = 4 yards

c)

one inch = 144 inches

10.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
11.
The blueprint uses a scale of 3 cm = 4.5 m. On the drawing the length of one of the rooms is 5 cm.  What is the room's ACTUAL length? 
a)
7.5 m
b)
13.5 m
c)
1.5 m
d)
1.7 m
12.
Hatboro and Smithville are 24 cm apart on the map.  What is the actual distance between the two cities if the scale is 1 cm = 8 km?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
13.
A drawing of a vehicle has a length of 11 cm.  If the scale is 2 cm:3 ft, what is the actual length of the vehicle?
a)
16½ feet
b)
7⅓ feet
c)
16 feet
d)
66 feet
14.
From Denver to Chicago it is 3.5 inches on a map.  If the scale is 2 in = 300 miles, find the actual distance.
a)
42 miles
b)
171.4 miles
c)
525 miles
d)
2,100 miles
15.
The scale for a blueprint of a home is 1 cm: 3 meters.  What is the actual length of the living room if the length of the living room shown in the drawing is 2.4 centimeters?
a)
1.25 m
b)
3.6 m
c)
7.2 m
d)
6 m
16.
Amanda made a scale drawing of a square garden with side lengths of 25 feet.  She used the scale 2 inches = 5 feet.

What will be the AREA of the scale drawing?
a)
10 in²
b)
25 in²
c)
100 in²
d)
484 in²
17.
What is a scale drawing?
a)
A drawing that shows a real object enlarged or reduced
b)
A drawing of the weight of an object
c)
A life size drawing of an object
d)
A drawing that shows all the sides of a building
18.
An architect wants to create a scale drawing of a bedroom using the scale of 2.5 cm = 5 feet.  If the bedroom's dimensions in real life are 22 feet by 18 feet, what is the AREA of the bedroom in the scale drawing?
a)
9 feet by 11 feet
b)
99 cm2
c)
9 cm by 11 cm
d)
99 ft2
19.
A model of a planned baseball stadium is 2 ft wide. The scale for the model is 1 foot = 100 yards. What is the width of the actual stadium?
a)
20 yards
b)
2 yards
c)
200 yards
d)
2000 yards
20.

Mary made a scale drawing of a tennis court with a side length of 10 cm and a width of 5 cm. She used the scale 1cm = 2 meters.


What will be the AREA of the scale drawing?

a)

200 square meters

b)

50 square meters

c)

250 square meters

d)

100 square meters

21.
1. Find X 
a)
28
b)
5
c)
55
d)
40
22.
2. Find X
a)
9
b)
27
c)
45
23.
3. Find ∠NOQ
a)
31
b)
59
c)
180
d)
149
24.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
25.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
26.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
27.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
28.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
29.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
30.
What does X equal?
a)
X=51
b)
X=45
c)
X=39
31.

What is the formula for finding the circumference of a circle?

a)

C = r2

b)

C = rd

c)

A = π·r2

d)

C = π·d

32.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r2

c)

C = 2·π·r

d)

C = d2

33.

What does C represent in the formula:

C = π·d

a)

Pi

b)

Circumference

c)

Diameter

d)

Area

34.

What does d represent in the formula:

C = π·d

a)

diameter

b)

radius

c)

pi

d)

3.14

35.

What is the diameter of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

36.

What is the circumference of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

37.

What number represents π?

a)

31.4

b)

4.13

c)

3.14

d)

34.1

38.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

39.

Find the circumference of the circle.

a)

78.5 cm

b)

15.7 cm

c)

7.85 cm

d)

19.6 cm

40.

Find the circumference of the circle.

a)

18.8 cm

b)

113 cm

c)

37.7 cm

d)

452.2 cm

41.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

42.

Find the circumference of the circle.

a)

14.13 cm

b)

63.56 cm

c)

28.26 cm

d)

127.17 cm

43.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
44.
What is the radius?
a)
18
b)
72
c)
38
d)
14
45.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
46.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
47.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
48.
Cynthia wants to buy a round photo frame for
her brother. The radius of the photo frame is 9 cm. 
What is the photo frame’s diameter?
a)
28.26 cm
b)
56.52 cm
c)
4.5 cm
d)
18 cm
49.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
50.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
C = 2π15
c)
c = 15/π
d)
c = 15/2π
51.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
52.
What is the circumference of a circle with a radius of 5 in terms of π ?
a)
5 π square units
b)
10 π square units
c)
25 π square units
d)
50 π square units
53.
What is the circumference of a circle with a radius of 5 in terms of π ?
a)
5 π square units
b)
10 π square units
c)
25 π square units
d)
50 π square units
54.
Which expression could be used to find the approximate circumference of this quilt piece?
a)
2π16
b)
2π8
c)
2(8)
d)
2(4)
55.

Find the Circumference for a Circle with a diameter of 5

a)

b)

c)

d)

e)

10π

56.

Find the Circumference for a Circle with a diameter of 8

a)

b)

c)

d)

e)

10π

57.

Find the Circumference for a Circle with a diameter of 12

a)

b)

c)

12π

d)

18π

e)

24π

58.

Find the Circumference for a Circle with a radius of 12

a)

b)

c)

12π

d)

18π

e)

24π

59.

You have a Circle with the Circumference of 12π what is correct about this?

a)

diameter = 6

b)

radius = 6

c)

diameter = 12

d)

radius = 12

60.

Find the Circumference for a Circle with a radius of 9

a)

b)

c)

12π

d)

18π

e)

24π

61.
find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
62.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
63.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
64.
What is the area of this circle?
a)
50.27
b)
78.23
c)
98.12
d)
201.06
65.
What is the area of this circle?
a)
8322.13
b)
1134.11
c)
4536.46
d)
1267.09
66.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
67.
A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?
a)
314 in2
b)
31.4 in2
c)
7.85 in2
d)
78.5 in2
68.
Jacob is painting a circular picture on his wall.  If the painting has a diameter of 4 ft, how much paint will he need to cover the inside of the circle?  Is this question asking you to find the area, circumference, or neither?
a)
area
b)
circumference
c)
neither
69.
What is the area of this circle?
a)
6082.12
b)
1520.53
c)
1893.14
d)
1292.92
70.

What does A represent in the formula:

A = π·r2

a)

Area

b)

Radius

c)

Pi

d)

Diameter

71.

What does r represent in the formula:

A = π·r2

a)

circumference

b)

radius

c)

diameter

d)

squared

72.

What number does π represent?

a)

4.13

b)

3.41

c)

pie

d)

3.14

73.

What is the radius of a circle?

a)

halfway through a circle

b)

a line through the center of a circle

c)

the amount of space inside of the circle

d)

the distance around a circle

74.

What is the area of a circle?

a)

halfway through a circle

b)

a line through the center of a circle

c)

the amount of space inside of the circle

d)

the distance around a circle

75.

What is the symbol for pi?

a)

#

b)

π

c)

&

d)

%

76.

Find the area of the circle.

a)

18.84 m2

b)

113.04 m2

c)

37.68 m2

d)

452.16 m2

77.

Find the area of the circle.

a)

12.56 cm2

b)

25.12 cm2

c)

50.24 cm2

d)

200.96 cm2

78.

Find the area of the circle.

a)

803.84 cm2

b)

25.12 cm2

c)

50.24 cm2

d)

200.96 cm2

79.

Find the area of the circle.

a)

176.6 cm2

b)

706.5 cm2

c)

23.6 cm2

d)

50.24 cm2

80.

Find the area of the circle.

a)

9.42 cm2

b)

7.07 cm2

c)

28.26 cm2

d)

4.71 cm2

81.
What is the area of this circle?
a)
82.13
b)
78.54
c)
314.16
d)
170.12
82.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
83.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
84.
What is the radius?
a)
18
b)
72
c)
38
d)
14
85.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
86.

Draw a circle with a radius of 2.4 cm. What is the diameter?

a)

2.4 cm

b)

4.8 cm

c)

5.76 CM

87.
What is the diameter of a circle with radius 1 ft?
a)
1ft
b)
2ft
c)
3ft
d)
IDK
88.
Find the radius of a circle who's diameter is 40 ft.
a)
40ft
b)
80ft
c)
20ft
d)
45ft
89.
62 =
a)
64
b)
49
c)
36
d)
81
90.
82 =
a)
64
b)
49
c)
36
d)
81
91.
72 =
a)
64
b)
49
c)
36
d)
81
92.
92 =
a)
64
b)
49
c)
36
d)
81
93.
102 =
a)
121
b)
100
c)
169
d)
144
94.
52 =
a)
52
b)
25
c)
169
d)
196
95.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
96.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
97.
Is surface area.......
a)
Filling in a 3 dimensional shape 
b)
wrapping the outside of a 3 dimensional shape
98.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
99.
FInd the Surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
100.
The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the surface area.
a)
300 inches
b)
200 inches
c)
275 inches
101.
Find the Surface Area
a)
500 ft2
b)
515 ft2
c)
525 ft2
d)
510 ft2
102.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
103.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
104.
How do you find the surface area of a 3 dimensional shape?
a)
Find the area of all the faces and add them together.
b)
Add all the faces
c)
Add the bases
d)
Multiply the dimensions together.
105.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
106.
What is surface area?
a)
The measure of the amount of space inside of a solid figure
b)
The sum of all the areas of all the shapes that cover the object
107.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
108.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
109.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
110.

Find the total surface area of the triangular prism

a)

92

b)

86

c)

106

d)

112

111.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
112.
How many faces does this shape have?
a)
6
b)
3
c)
9
d)
5
113.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
114.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
115.
Find the surface area of the pyramid. 
a)
168 m2
b)
228 m2
c)
390 m2
d)
196 m2
116.
Paige is sewing a tent. If the material cost $0.04 per square in, determine how much it will cost her to make the tent.
a)
$480
b)
$560
c)
$640
d)
$736
117.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
118.
The dimensions of this rectangular prism are:
a)
Length: 6 cubes, Width: 3 cubes, Height: 3 cubes
b)
Length: 3 cubes, Width: 3 cubes, Height: 6 cubes
c)
Length: 3 cubes, Width: 3 cubes, Height: 3 cubes
d)
Length: 9 cubes, Width: 3 cubes, Height: 3 cubes
119.
When you are finding the length x width of a 3-dimensional figure, this is also called the:
a)
base
b)
perimeter
c)
volume
d)
width
120.
Which formula can be used to find the volume of a rectangular prism?
a)
length x width
b)
length x width x height
c)
height x length
d)
length + width + height
121.
Joy wants to create a box with a volume of 8 cubic units. Which dimensions would work?
a)
length: 8 units
width: 8 units
height: 8 units
b)
length: 2 units
width 4 units
height: 3 units
c)
length: 4 units
width: 2 units
height: 2 units
d)
length: 2 units
width: 4 units
height: 1 unit
122.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
123.
Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
124.

Bob has a rectangular prism gift box what it the volume of Bob's gift box?

a)

64in3

b)

60in3

c)

240in3

d)

24in3

125.
If the volume of a rectangular prism is 180 cubic cm and it has a width of 4cm and height of 15cm, what is its length?
a)
199
b)
60
c)
3
d)
180
126.
What is the volume of a rectangular prism with a length of 5 cm, width of 4 cm, and height of 9 cm?
a)
18 cubic cm
b)
29 cubic cm
c)
41 cubic cm
d)
180 cubic cm
127.
The fish tank in the library is 3 feet long, 5 feet wide, and 4 feet deep.  What is the volume of the fish tank?
a)
15 cu ft
b)
20 cu ft
c)
60 cu ft
d)
15 cu ft
128.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
129.
a)
546 m3
b)
456 m3
c)
654 m3
d)
54 m3
130.
a)
168 ft2
b)
168 in3
c)
168 ft3
d)
168 in2
131.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
132.
What is the volume of this prism?
a)
20 cubic feet
b)
8 cubic feet
c)
40 cubic feet
133.
What is the volume of this prism?
a)
24 cubic cm
b)
240 cubic cm
c)
60 cubic cm
134.
To find the volume you:
a)
Divide length x width  x  height 
b)
 length + width  +  height 
c)
 length x width  x  height 
d)
none of the above
135.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
136.
Calculate the volume. 
a)
 90 cm³
b)
150 cm³
c)
180 cm³
137.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
138.
B represents...
a)
Area of Base
b)
Base
c)
Bottom
d)
Area of Bridge
139.
Find the volume of the prism.
a)
27 cm3
b)
72 cm3
c)
180 cm3
d)
360 cm3
140.
Find the Volume
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
141.
What shape will the horizontal cross-section of a sphere be?
a)
Dome
b)
Circle
c)
Ellipse
d)
Rectangle
142.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
143.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
144.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
145.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
146.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
147.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

148.
Describe the cross section.
a)
rectangle
b)
square
c)
parallelogram
d)
circle
149.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
150.
Describe the cross section.
a)
circle
b)
oval
c)
semi-circle
d)
trapezoid
151.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
152.
What shape does this cross section make?
a)
circle
b)
Trapezoid
c)
Rectangle
d)
Parallelogram
153.
Describe the cross section.
a)
triangle
b)
rectangle
c)
oval
d)
trapezoid
154.
Describe the cross section.
a)
rectangle
b)
trapezoid
c)
oval
d)
parallelogram
155.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
156.
What shape will the angled cross-section of a rectangular pyramid be?
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square