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Geometry Semester 2 Multiple Choice Practice

Total questions: 63

Worksheet time: 5hrs 15mins

Name
Class
Date
1.
What statement does the shaded region represent?
a)

P(A or B)

b)

P(A and B)

c)

P(A)

d)

P(B)

2.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

3.

The venn diagram shows which sports are played by a class of students.

How many students are in the class?

a)

20

b)

25

c)

30

d)

35

4.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
5.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.  P(green, black)
a)
3/20
b)
1/4
c)
3/31
d)
2/27
6.

a)

A

b)

B

c)

C

d)

D

7.



(a)  

8.



(a)  

9.

a)

A

b)

B

c)

C

d)

D

10.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
11.
ABCD is a rhombus
What is the measurement of angle AED? 
a)
60 
b)
45
c)
90
d)
180
12.

ABCD is a kite. Solve for x and y

x = _____, y = _____

(a)  

13.

Select all that apply.

CONSECUTIVE ANGLES ARE SUPPLEMENTARY.

a)

RECTANGLE

b)

RHOMBUS

c)

SQUARE

d)

PARALLELOGRAM

14.

Select all that apply.

DIAGONALS ≅\cong

a)

RECTANGLE

b)

RHOMBUS

c)

SQUARE

d)

PARALLELOGRAM

15.

Select all that apply.

DIAGONALS BISECT ANGLES

a)

RECTANGLE

b)

RHOMBUS

c)

SQUARE

d)

PARALLELOGRAM

16.
If the sum of the interior angles of a polygon equals 900°, how many sides does the polygon have? 
a)
7
b)
9
c)
10
d)
12
17.
What is the value of x?
a)
26.25
b)
38.75
c)
24
d)
25.125
18.
Find the value of x
a)
141
b)
150
c)
135
d)
163
19.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

20.

Why are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

AAS

21.

The triangles are similar by...

a)

SAS

b)

AAS

c)

ASA

d)

SSS

22.

#1 Hello World

a)

8

b)

10

c)

12

d)

14

23.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

24.

Find the value of x.

a)

90/13

b)

56/3

c)

21/8

d)

96/7

25.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

26.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

27.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 6 y = 3√2
28.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
29.
Find x - the length of the hypotenuse of the triangle.
a)
5
b)
5√2
c)
10
d)
5√3
30.
What is the measure of side b?
a)
5
b)
10√2
c)
5√2
d)
10√3
31.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

32.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
33.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

34.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
35.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
36.
a)
38.66
b)
36.87
c)
53.13
d)
45.71
37.
Solve for x. Round to the nearest tenth.
a)
19.0
b)
20.0
c)
21.0
d)
20.5
38.
Solve for x. Round to the nearest tenth.
a)
10.4
b)
8.9
c)
31.2
d)
10.5
39.
Find the measure of arc AB.
a)
17⁰
b)
34⁰
c)
68⁰
d)
146⁰
40.
Find x
a)
10
b)
5
c)
18
d)
9
41.
Find x.  Assume that segments that appear to be   tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
42.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
43.
a)
A
b)
B
c)
C
d)
D
44.
Find the perimeter of the polygon.
a)
77.8
b)
73.4
c)
78.8
d)
67.4
45.

Find the area of the segment. 

a)

19.63 ft2ft^2

b)

12.5  ft2ft^2  

c)

7.1  ft2ft^2  

d)

5.4  ft2ft^2  

46.

Find the length of the darkened arc.

a)

35π3 km\frac{35\pi}{3}\ km

b)

490π3 km\frac{490\pi}{3}\ km

c)

7π90 km\frac{7\pi}{90}\ km

d)

70π3 km\frac{70\pi}{3}\ km

47.

Find the measure of arc SU.

a)

112 °\degree

b)

43 °\degree

c)

137 °\degree

d)

86 °\degree

48.

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

a)

A and B are supplementary

b)

A and C are supplementary

c)

m∠ A = m∠ B

d)

m∠ C = m∠ D

49.
Find the area of each sector.
a)
4248 m2
b)
7.9 m2
c)
2827.4 m2
d)
11.8 m2
50.

Find the volume of the solid.

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

51.

Choir is selling Pringles 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)

52.

Find the volume of the solid.

a)

1815 cm3

b)

907.5 cm3

c)

605 cm3

d)

55 cm3

53.

Find the surface area of the sphere. Use the pi button on your calculator.

a)

201.1 in2

b)

268.1 in2

c)

50.3 in2

d)

67.0 in2

54.
Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?
a)
The volume of Ball 2 is twice the volume of Ball 1.
b)
The volume of Ball 1 is 8 times the volume of Ball 2.
c)
The volume of Ball 1 is twice the volume of Ball 2.
d)
The volume of Ball 2 is 8 times the volume of Ball 1.
55.
Jenna created a cylinder that is 11 inches tall and has a volume of 11196.6 cubic inches. Find the radius of the cylinder.
a)
9
b)
18
c)
27
d)
36
56.
Find the volume of the composite figure.  Round your answer to the nearest whole number.
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
57.
This trough is filled with water.  If 1 cubic foot holds  7.5 gallons, how much water will fill the trough?
a)
21.5 gallons
b)
112.5 gallons
c)
133 gallons
d)
150 gallons
58.
A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter. 
a)
216 cm3
b)
25 cm3
c)
100 cm3
d)
191 cm3
59.
The surface area of a pyramid is 12 cm2.  A new pyramid is similar to the original pyramid and the ratio of the sides of the new to the original is 3:2.  What is the surface area of the new pyramid?
a)
12 cm2
b)
8 cm2
c)
18 cm2
d)
27 cm2
60.
When a cube is tripled in size, then the volume is _______.
a)
81 times larger
b)
27 times larger
c)
9 times larger
d)
3 times larger
61.

If the scale factor is 2:9, then the ratio of the surface areas is...

a)

2:9

b)

4:81

c)

4:18

d)

8:729

62.

If the ratio of volumes is 64:2197, then the ratio of the surface areas is...

a)

8:13

b)

16:169

c)

64:2197

63.

Find the surface area of the larger solid given the information below. (Hint: To find the ratio of SA, you must first find the ratio of sides.)


V = 8m3

V = 27m3


SA = 36 m2

SA = ?

a)

54 m2

b)

81 m2

c)

55 m2

d)

76 m2

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