ame: ________________________ Class: ___________________ Date: __________
ID: A
Geometry Practice 2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find the area. The figure is not drawn to scale.
____
1.
a.
30 yd2
b.
6.5 yd2
c.
13 yd2
d.
15 yd2
Find the area of the trapezoid. Leave your answer in simplest radical form.
____
2.
a.
____
98 cm2
b.
91 cm2
c.
3. Find the area of an equilateral triangle with radius 8
a.
96 3 m2
b.
144 3 m2
c.
38.5 cm2
d.
11 cm2
3 m. Leave your answer in simplest radical form.
d. 12 3 m2
18 3 m2
The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest
whole number.
____
4. The area of the larger triangle is 1589 ft 2 .
a.
1217 ft 2
b.
1225 ft 2
c.
1
1600 ft 2
d.
2075 ft 2
ame: ________________________
____
5. The area of a regular octagon is 35 cm 2 . What is the area of a regular octagon with sides three times as large?
a.
____
____
315 cm 2
b.
225 cm 2
c.
175 cm 2
d.
105 cm 2
6. Two trapezoids have areas 432 cm 2 and 48 cm 2 . Find their ratio of similarity.
a. 3 : 1
b. 9 : 1
c. 1 : 3
d. 1 : 9
7. Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle.
Leave your answer in terms of π .
ÊÁ
1 ˆ˜˜˜
ÁÁ
Á
a. (4 − π )
b. ÁÁ 4 − π ˜˜˜ in.2
ÁË
2 ˜¯
8. Find the exact area of the shaded region.
in.2
____
ID: A
c.
ÊÁ
π ˆ˜˜
ÁÁ
ÁÁ 4 − ˜˜˜ in.2
ÁÁ
4 ˜˜¯
Ë
a.
(192π − 144)m2
c.
ÁÊÁ 8π − 144 3 ˜ˆ˜ m2
ÁË
˜¯
b.
ÁÊÁ 192π − 144 3 ˜ˆ˜ m2
ÁË
˜¯
d.
none of these
2
d.
π in.2
ame: ________________________
____
ID: A
9. Find the area of the shaded region. Leave your answer in terms of π and in simplest radical form.
a.
b.
ÁÊÁ 120π + 6 3 ˜ˆ˜ m2
ÁË
˜¯
ÊÁ
ˆ
ÁÁ 142π + 36 3 ˜˜˜ m2
Ë
¯
c.
ÁÊÁ 120π + 36 3 ˜ˆ˜ m2
ÁË
˜¯
d.
none of these
Find the surface area of the cylinder in terms of π .
____ 10.
a.
688π in. 2
b.
304π in. 2
c.
176π in. 2
d.
208π in. 2
Find the surface area of the pyramid shown to the nearest whole number.
____ 11.
a.
410 m 2
b.
393 m 2
c.
3
819 m 2
d.
240 m 2
ame: ________________________
ID: A
____ 12. Find the surface area of the figure to the nearest whole number.
a.
310 ft 2
b.
155 ft 2
c.
135 ft 2
d.
74 ft 2
Find the volume of the given prism. Round to the nearest tenth if necessary.
____ 13.
a. 2143.4 yd 3
b. 1750.1 yd 3
c. 4286.8 yd 3
d. 2475.0 yd 3
____ 14. Find the volume of the composite space figure to the nearest whole number.
a.
170 cm 3
b.
180 cm 3
c.
4
120 cm 3
d.
60 cm 3
ame: ________________________
ID: A
____ 15. Find the volume of the composite space figure to the nearest whole number.
a.
546 mm 3
b.
174 mm3
c.
364 mm 3
d.
438 mm 3
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
____ 16.
a.
262 mm 3
b.
524 mm3
c.
314 mm 3
d.
105 mm 3
____ 17. Find the similarity ratio of a cube with volume 729 m 3 to a cube with volume 3375 m 3 .
a. 81 : 225
b. 3 : 5
c. 5 : 3
d. 225 : 81
____ 18. The surface areas of two similar solids are 311 ft 2 and 1037 ft 2 . The volume of the larger solid is 1755 ft 3 .
What is the volume of the smaller solid?
a.
288 ft 3
b.
1,755 ft 3
c.
5
961 ft 3
d.
789 ft 3
ame: ________________________
ID: A
____ 19. BC is tangent to circle A at B and to circle D at C (not drawn to scale).
AB = 7, BC = 18, and DC = 5. Find AD to the nearest tenth.
a.
18.7
b.
18.1
c.
21.6
d.
19.3
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
scale.
____ 20. FG ⊥ OP , RS ⊥ OQ , FG = 40, RS = 37, OP = 19
a.
27.2
b.
18.5
c.
19
d.
20.5
a.
18.8
b.
120
c.
5.3
d.
12
____ 21.
6
ame: ________________________
ID: A
____ 22. AB = 20, BC = 6, and CD = 8
a.
18.5
b.
11.5
c.
19.5
d.
15
a. 19.34
b. 10.49
c.
____ 24. Find AB. Round to the nearest tenth if necessary.
110
d.
9.22
3.5
d.
4.3
____ 23.
a.
1.1
b.
11.5
c.
7
ame: ________________________
ID: A
Find the measure of the numbered angle.
____ 25.
a.
b.
62.5
105
c.
d.
112.5
115
Find x. Assume that any segment that appears to be tangent is tangent.
____ 26.
a.
b.
50
40
c.
d.
8
60
70
ame: ________________________
ID: A
____ 27.
a.
b.
65
66
c.
d.
9
68
62
ID: A
Geometry Practice 2
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
D
B
B
A
A
A
A
B
C
B
A
B
A
B
D
B
B
A
B
D
D
B
B
C
C
B
A
1