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Geometry Test

Total questions: 70

Worksheet time: 8hrs 7mins

Name
Class
Date
1.

Which set of measurements could be the lengths of three segments that form a triangle?

a)

2 cm, 2 cm, 5 cm

b)

6 cm, 2 cm, 8 cm

c)

5 cm, 9 cm, 3 cm

d)

7 cm, 2 cm, 6 cm

2.

The bases of the right triangular prism shown below are equilateral triangles. If Heather slices the right triangular prism into two congruent pieces, which of the following two-dimensional figures could result from the slice? Select all that apply.

a)

Circle

b)

Triangle

c)

Rectangle

d)

Hexagon

e)

Octagon

3.

The diagram represents a scale drawing of a three-sided tract of land. How could the actual length, in miles, of each

side of the tract of land be calculated?

a)

By subtracting 9 from the length in inches of each side in the scale drawing

b)

By adding 9 to the length in inches of each side in the scale drawing

c)

By dividing the length in inches of each side in the scale drawing by 9

d)

By multiplying the length in inches of each side in the scale drawing by 9

4.

A solid figure is shown below.

What is the volume of the solid figure?

a)

660 cubic centimeters

b)

810 cubic centimeters

c)

1020 cubic centimeters

d)

1560 cubic centimeters

5.

A circular helipad has a diameter of 50 yards. Using 3.14 for π , which two of the following statements are true?

a)

The circumference of the helipad is 157 yards.

b)

The circumference of the helipad is 314 yards.

c)

The area of the helipad is 492.98 square yards.

d)

The area of the helipad is 1962.5 square yards.

e)

The area of the helipad is 7850 square yards.

6.

A drawing of an airplane has a scale of 1 centimeter equal to 19 feet. If the elevator span on the scale drawing is 2.5 centimeters long, what is the actual length of the elevator in feet?

a)

3.8

b)

4.75

c)

47.5

d)

475

7.

Jeremy needs to buy three pieces of wood to make a triangular frame. If the wood is cut in 1-foot increments, which set of wood lengths will form a triangle?

a)

2 feet, 2 feet, 5 feet

b)

1 foot, 2 feet, 3 feet

c)

2 feet, 3 feet, 4 feet

d)

2 feet, 4 feet, 6 feet

8.

The scale on a map is 0.5 centimeter = 3 kilometers. On the map, Town B is 12.5 centimeters away from Town A. What is the actual distance between the towns?

a)

4.16 kilometers

b)

18.75 kilometers

c)

37.50 kilometers

d)

75.00 kilometers

9.

A circle has a diameter of 8 ft. Which measurement would be the circumference of the same circle? (use π ≈ 3.14)

a)

12.56 ft

b)

18.22 ft

c)

25.12 ft

d)

50.24 ft

10.

The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth’s Moon is 1,737.5 kilometers. What is the approximate difference in the mean circumferences, in kilometers, of Earth and Earth’s Moon? Round your answer to the nearest tenth of a kilometer. Use 3.14 for π.

a)

40,009.9

b)

29,098.4

c)

14,556.6

d)

10,911.5

11.

A scale drawing of a triangular field is shown below.

Which statement explains how to find the actual lengths of the sides of the field, in feet?

a)

Multiply the length of each side in the scale drawing by 1.

b)

Multiply the length of each side in the scale drawing by 175.

c)

Add 175 to the length of each side in the scale drawing.

d)

Add 175 to the sum of the lengths of the sides in the scale drawing.

12.

Which of the following sets of three angle measures could be used to construct a triangle?

a)

30⁰, 40⁰, 50⁰

b)

50⁰, 60⁰, 70⁰

c)

70⁰, 80⁰, 90⁰

d)

45⁰, 45⁰, 45⁰

13.

Rectangle B is a scale drawing of Rectangle A.

Based on information in the diagram, what is the length of side w ?

a)

20

b)

25

c)

30

d)

45

14.

A rectangular prism is shown below.

What two-dimensional figure results from vertically slicing the rectangular prism perpendicularly from one base to the other?

a)

rectangle

b)

square

c)

trapezoid

d)

triangle

15.

Angles K and L are complementary angles. The measure of angle K can be represented by the expression (4x+9)⁰, and the measure of angle L can be represented by the expression (2x+3)⁰. What is the measure, in degrees, of angle K?

a)

13⁰

b)

28⁰

c)

61⁰

d)

91⁰

16.
A car wheel has a diameter of 75 cm. What is the circumference of the wheel?
a)
235.5 cm
b)
245.5 cm
c)
215.5 cm
d)
225.5 cm
17.
Find the perimeter of the figure.  Use 3.14 for pi.
a)
20.56 in.
b)
17.3 in.
c)
17.8 in.
d)
31.88 in.
18.
Find the perimeter of the figure.
a)
86 yd.
b)
32 yd.
c)
33 yd.
d)
53 yd.
19.
The Patterson’s new pool shed is shown below. Mrs. Patterson wants to paint it a turquoise color to match the pool’s tile. Find the area that needs to be painted, not including the door which is 1.0 m wide. 
a)
3.6
b)
4.6
c)
2.9
d)
5.6
20.
Find the measure of the missing angle.
a)
45 degrees
b)
135 degrees
c)
90 degrees
d)
50 degrees
21.
Find the volume of the given figure.
a)
308.9 cm3
b)
308.2 cm3
c)
312.8 cm3
d)
302.9 cm3
22.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
23.
Find the surface area of the figure formed by the net with 2 cm ,  3 cm, and 4 cm edges below.
a)
40 cm2
b)
48 cm2
c)
52 cm2
d)
62 cm 2
24.
What is x
a)
154
b)
156
c)
165
d)
123
25.
Find the area of this triangle.
a)
240 ft2
b)
56 ft2
c)
66 ft2
d)
120 ft2
26.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
27.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
28.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 
a)
72 in
b)
60 in
c)
62 in
d)
80 in
29.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
30.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
31.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
32.
Sara can type 90 words in 4 minutes. About how many words would you expect her to type in 10 minutes at this rate? (Use proportion)
a)
900 words
b)
180 words
c)
225 words
d)
360 words
33.
If the scale factor is less than one, the new figure will be:
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
34.
If the scale factor is greater than one, the new figure will be:
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
35.
Amanda made a scale drawing of a square garden, which has a side length 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
36.
a)
74
b)
100
c)
104
d)
108
37.
A tree is 72 feet tall and has a shadow that is 12 feet long.  A nearby tree has a shadow of 5 feet.  How tall is the tree? 
a)
3 ft.
b)
300 ft.
c)
30 ft.
d)
35 ft.
38.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
39.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
40.
Maura is building a 2 ft. tall model of the Gateway Arch in St. Louis, Missouri.  The scale is 3 in : 78.75 ft.  Estimate the height of the actual arch.
a)
630
b)
600
c)
400
d)
200
41.
Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____
a)
39 inches
b)
156 inches
c)
38 inches
d)
157 inches
42.
Pedro and his friends are visiting chocolate shops in Fairview. They take a cab from one chocolate shop to another. On a map, the two are separated by 3 centimeters. If the scale of the map is 1 centimeter = 2 kilometers, then what is the actual distance between the two chocolate shops?
____ = ____
a)
1/2 kilometer 
b)
1.5 kilometers
c)
6 kilometers
d)
3 kilometers
43.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

44.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

45.

Identify the side length in Figure 1 that corresponds to the side length MQ in figure 2.

a)

BC

b)

AE

c)

CD

d)

DE

46.
Line CB corresponds with what line? 
a)
SR
b)
PQ
c)
SP
d)
RQ
47.
Line AB corresponds with what line? 
a)
XZ
b)
XY
c)
YZ
d)
YX
48.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

49.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

50.
a)
0.25
b)
0.5
c)
2
d)
1/2
51.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
52.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

53.
What is the scale factor?
a)
1/2
b)
7/3
c)
2
d)
10/3
54.
Solve the proportion.
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
55.
Which of the following is a unit rate
a)
56 miles in 2 minutes
b)
$4.59 for 3 pounds
c)
$10 per student
d)
$30 for 15 minutes
56.
Solve for x 
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
57.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
58.
If you multiply π × d then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
59.
If a circle has a radius of 10 ft. then which statement is true?
a)
The radius is 5 ft. 
b)
 The diameter is 5 ft
c)
The radius is 20 ft.
d)
The diameter is 20 ft.
60.

Find the volume. Use your formula to help you!

a)

960 cm 3

b)

240 cm 3

c)

1920 cm 3

61.
What is the formula for volume of a CYLINDER?
a)
V = πr²
b)
V = πr²h
c)
V =  ⅓πr²h
d)
V =  ⅓LWH
62.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
63.

Find the volume of the cylinder. Use 3.14 for pi and your formula to help you!

a)

282.6in3

b)

516.2in3

c)

133in3

d)

214in3

64.
To calculate the amount of cardboard needed to make a cereal box, which of the following should you find: 
a)
Area
b)
Perimenter
c)
Surface Area
d)
Volume
65.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
d)
Square Prism
66.

Find the total surface area of the cylinder. Write down your formula and use it to help you! Use 3.14 for pi.

a)

100.48 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

67.

What is the surface area formula for a cylinder?

a)

SA = πrl + πr2

b)

SA = πdh + 2πr2

c)

SA = 4πr2

d)

SA = πr2h

68.

Find the total surface area of the prism. Take the time to draw a net to help you!

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

69.
To calculate the amount of carpeting needed for your bedroom, which of the following should you find: 
a)
Area
b)
Perimeter
c)
Surface Area
d)
Volume
70.
In the equation:
 Ph + 2B, why are you multiplying by 2?
a)
Just because it's the formula.
b)
It is multiplying B by 2 because there are two bases.
c)
It's just the number 2.

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