Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
Explain why a triangle cannot have a right angle and an obtuse angle.
1)
2)
Explain how you could find an approximation to 90 to the nearest tenth without using a
calculator.
2)
3)
Explain why a triangle cannot have two obtuse angles.
3)
4)
A 7–in. pizza costs $8 and a 14–in. pizza costs $20. Tommy says the smaller pizza is a
better buy because the larger pizza is twice as big and more than twice as expensive. Do
you agree with his reasoning? If not, explain why not.
4)
5)
A cone and a cylinder have the same volume and the same base radius. If you are given
only the height of the cylinder, is it possible to figure out the height of the cone? If so, how
would you figure it out?
5)
6)
Jamie used the Pythagorean theorem to find the length of the missing side of the triangle
shown.
He did the following calculations: x2+72=102
x2= 102–72
x2= 51
x =51
x
7.1
Why did Jamie not get the correct answer?
6)
7)
A square measures 24 in. on a side. Jerry and Alan were asked to calculate the area of the
square in square feet. Jerry wrote the following.
24 in. ×1 ft
12 in. = 2 ft
Area = 2 ft × 2 ft = 4 ft2
Alan wrote the following.
Area = 24 in. × 24 in. = 576 in.2
576 in2×1 ft2
12 in2= 48 ft2
Why did Jerry and Alan get different answers? Determine which of them made a mistake
and explain what the mistake was.
7)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use a protractor to measure the angle.
8)
8)
A)
20°
B)
40°
C)
110°
D)
70°
9)
5 m
4 m 4 m
9)
A)
22.56 m
B)
17.56 m
C)
35.12 m
D)
30.12 m
Solve the problem. Give an exact answer and an approximation to the nearest tenth.
10)
A boat travels 3 mi south and then 8 mi east. How far is the boat from its starting point?
A =3 mi B =8
10)
A)
73 mi 8.5 mi
B)
11 mi 3.3 mi
C)
73 mi =36.5 mi
D)
17 mi 4.1 mi
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
11)
a = 6, b = 8
11)
A)
c = 100
B)
c = 48
C)
c = 10
D)
c = 14
12)
A small farm field is a square measuring 250 ft on a side. What is the perimeter of the field? If you
double the length of each side of the field, what is the new perimeter?
12)
A)
500 ft, 2000 ft
B)
250 ft, 1000 ft
C)
500 ft, 1000 ft
D)
1000 ft, 2000 ft
13)
Find the diameter.
1.5 in.
13)
A)
3in.
B)
4.71 in.
C)
7.07 in.
D)
0.75 in.
Find the volume.
14)
7cm
6cm
2cm
14)
A)
72 cm3
B)
28 cm3
C)
294cm3
D)
84 cm3
15)
Use 3.14 for .
38 mi
15)
A)
119.32 mi
B)
1133.54 mi
C)
238.64 mi
D)
59.66 mi
16)
4.0 cm
11.6 cm
16)
A)
29.48 cm2
B)
40.12 cm2
C)
33.84 cm2
D)
Not enough data
Find the area of the shaded region.
17)
4 m 5 m
4 m
16 m
10 m
17)
A)
50 m2
B)
156m2
C)
140m2
D)
144m2
18)
23 cm 12 cm
24 cm
18)
A)
47 cm
B)
58 cm
C)
144cm
D)
59 cm
19)
14
19)
A)
3.752
B)
4.742
C)
3.742
D)
3.741
Find the perimeter. Use 3.14 for .
20)
14 m
7 m
20)
A)
63.98 m
B)
71.96 m
C)
42.98 m
D)
49.98 m
21)
Use 3.14 for .
22.5 yd
21)
A)
70.65 yd
B)
282.60 yd
C)
141.30 yd
D)
6358.50 yd
Find the volume of the circular cone. Use 3.14 or 22
7 for as indicated and round as indicated.
22)
Use 3.14 for . Round to the nearest hundredth.
2.3 m
11 m
22)
A)
873.862 m3
B)
291.29 m3
C)
1165.15 m3
D)
26.48 m3
23)
Use 22
7 for .
91
2 ft
23)
A)
296
7 ft
B)
1413
14 ft
C)
283 9
14 ft
D)
595
7 ft
Approximate to three decimal places.
24)
3
24)
A)
1.742
B)
2.732
C)
1.732
D)
1.731
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
25)
12 9
8
25)
A)
Isosceles; acute
B)
Isosceles; obtuse
C)
Scalene; obtuse
D)
Scalene; acute
Find the area.
26)
25 ft
25 ft
26)
A)
625ft2
B)
100ft2
C)
50 ft2
D)
1250 ft2
Find the radius or diameter as requested.
27)
Find the diameter.
39.6 mi
27)
A)
124.344 mi
B)
4924.02 mi
C)
79.2 mi
D)
19.8 mi
Find the volume of the sphere. Use 3.14 or 22
7 for as indicated.
28)
Use 22
7 for .
r =21
2 m
28)
A)
49 3
28 m3
B)
36 93
112 m3
C)
6510
21 m3
D)
19 9
14 m3
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
29)
a = 30, c = 50
29)
A)
b = 10
B)
b = 80
C)
b = 20
D)
b = 40
Solve the problem.
30)
Mel plans to fence his yard for his new puppy. The yard is a 29 ft by 94 ft rectangle. Fencing costs $
15 per 10 ft section. What is the cost of the fence not including unused fencing?
30)
A)
$87.00
B)
$184.50
C)
$738.00
D)
$369.00
Find the radius or diameter as requested.
31)
Find the diameter.
31
4 m
31)
A)
10 3
14 m
B)
61
2 m
C)
15
8 m
D)
35
88 m
Solve the problem. Use 3.14 for . Round to the nearest tenth.
32)
The width of a piece of paper is 8.5 in., the length is 11 in., and the thickness is 0.0037 inches. There
are 2700 sheets sitting in a cabinet by the copy machine. What is the volume occupied by the paper.
32)
A)
194.8 in3
B)
934.1 in3
C)
9.3 in3
D)
1498.5 in3
Find the area of the figure. Use 3.14 for .
33)
20 yd
12 yd
29 yd
33)
A)
404.52 yd2
B)
350.52 yd2
C)
407.04 yd2
D)
Not enough data
Approximate to three decimal places.
34)
105
34)
A)
10.248
B)
10.237
C)
10.247
D)
10.246
Find the volume of the circular cone. Use 3.14 or 22
7 for as indicated and round as indicated.
35)
Use 22
7 for . Round to the nearest whole number.
35 mm
15 mm
35)
A)
25,929 mm3
B)
8250 mm3
C)
550 mm3
D)
24,750 mm3
Solve the problem.
36)
What will it cost to buy ceiling molding to go around a rectangular room with length 18 ft and
width 11 ft? The molding costs $2.78 per linear foot.
36)
A)
$100.08
B)
$61.16
C)
$80.62
D)
$161.24
37)
Use 3.14 for .
6cm
16 cm
37)
A)
1808.64 cm3
B)
301.44 cm3
C)
602.88 cm3
D)
7234.56 cm3
38)
92°
34°
38)
A)
126°
B)
88°
C)
54°
D)
44°
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
39)
b = 12, c = 15
39)
A)
a = 10
B)
a = 81
C)
a = 9
D)
a = 3
Find the area of the shaded region.
40)
7 m
5 m
12 m 18 m
9 m
19 m
40)
A)
254m2
B)
315.5 m2
C)
298m2
D)
Not enough information given
Find the volume of the circular cone. Use 3.14 or 22
7 for as indicated and round as indicated.
41)
Use 3.14 for . Round to the nearest whole number.
5 cm
diameter =6 cm
41)
A)
283 cm3
B)
188 cm3
C)
47 cm3
D)
63 cm3
Find the volume.
42)
Find the volume of a box 5ft ×3ft ×4ft.
42)
A)
100ft3
B)
60 ft3
C)
45 ft3
D)
48 ft3
Solve the problem. Use 3.14 for . Round to the nearest tenth.
43)
A spherical dog toy has a radius of 5.3 cm. Find the volume.
43)
A)
4986.4 cm3
B)
77.9 cm3
C)
88.2 cm3
D)
623.3 cm3
Find the area of the figure. Use 3.14 for .
44)
15.0 yd
28.0 yd
44)
A)
596.625 yd2
B)
508.3125 yd2
C)
467.1 yd2
D)
Not enough data
Find the area.
45)
7.5 in.
6 in.
5.5 in.
45)
A)
78 in.2
B)
19 in.2
C)
39 in.2
D)
33 in.2
Simplify.
46)
3600
46)
A)
30
B)
120
C)
3600
D)
60
Solve the problem. Use 3.14 for .
47)
A rubber ice–hockey puck has a 3.3 in. diameter. What is the surface area of one flat side of the
puck?
47)
A)
34.1946 in.2
B)
4.27433 in.2
C)
8.54865 in.2
D)
10.362 in.2
Solve the problem.
48)
A one–story building is 420 ft by 330 ft. If a square patio with sides 27 ft occupies the center of the
building, how much area remains for offices?
48)
A)
1500 ft2
B)
1473 ft2
C)
1392 ft2
D)
137,871 ft2
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
49)
20 20
20
49)
A)
Scalene; right
B)
Scalene; acute
C)
Isosceles; obtuse
D)
Equilateral; acute
Simplify.
50)
25,000,000
50)
A)
10,000
B)
12,500,000
C)
25,000
D)
5000
Find the area of the circle. Use 3.14 or 22
7 for as indicated.
51)
Use 22
7 for .
31
2 ft
51)
A)
11 ft2
B)
121ft2
C)
22 ft2
D)
381
2ft2
Find the area of the figure. Use 3.14 for .
52)
1.0 ft 1.0 ft
52)
A)
0.785 ft2
B)
1.57 ft2
C)
3.14 ft2
D)
Not enough data
Find the area.
53)
41
4 cm
121
2 cm
53)
A)
481
8cm2
B)
531
8cm2
C)
1061
4cm2
D)
163
4cm2
Simplify.
54)
289
54)
A)
144.5
B)
17
C)
34
D)
289
Find the area of the figure. Use 3.14 for .
55)
3.8 ft
10.0 ft
55)
A)
32.3323 ft2
B)
16.1662 ft2
C)
32.034 ft2
D)
Not enough data
Find the circumference of the circle. Use 3.14 or 22
7 for as indicated.
56)
Use 3.14 for .
22 ft
56)
A)
69.08 ft
B)
34.54 ft
C)
379.94 ft
D)
138.16 ft
Find the perimeter. Use 3.14 for .
57)
7 cm
7 cm
57)
A)
57.96 cm
B)
21.98 cm
C)
71.96 cm
D)
43.96 cm
Find the area.
58)
25 in. 20 in.
42.5 in.
58)
A)
250in.2
B)
425in.2
C)
850in.2
D)
200in.2
59)
31
2 cm
31
2 cm
59)
A)
121
4cm2
B)
14 cm2
C)
91
4cm2
D)
7cm2
Solve the problem. Use 3.14 for .
60)
Find the cost to asphalt a circular racetrack if asphalt costs $20 per 100 ft2. (Round to the nearest
dollar.) r =90 ft
R =140 ft
60)
A)
$12,309
B)
$7222
C)
$5087
D)
$6280
61)
46 ft
52 ft
32 ft
61)
A)
1196 ft2
B)
736ft2
C)
1472 ft2
D)
1058 ft2
62)
6yd
12 yd 12 yd
6yd
62)
A)
36 yd
B)
24 yd
C)
18 yd
D)
12 yd
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
63)
13
9 9
63)
A)
Equilateral; acute
B)
Isosceles; obtuse
C)
Equilateral; obtuse
D)
Scalene; obtuse
Find the perimeter. Use 3.14 for .
64)
4 in.
4 in.
64)
A)
18.28 in.
B)
28.56 in.
C)
24.56 in.
D)
22.28 in.
Solve the problem. Give an exact answer and an approximation to the nearest tenth.
65)
The diagram below shows a rope connecting the top of a pole to the ground. How tall is the pole?
27 yd
22 yd
65)
A)
5 yd 2.2 yd
B)
1213 yd 34.8 yd
C)
245 yd 15.7 yd
D)
245 yd =122.5 yd
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
66)
b =4, c =8
66)
A)
a =12; a 3.464
B)
a =48; a 6.928
C)
a =32; a 5.657
D)
a =4
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
67)
12 ft 20 ft
b
67)
A)
b =19 ft
B)
b =14 ft
C)
b =16 ft
D)
b =20 ft
Find the area of the figure. Use 3.14 for .
68)
16.0 ft
45.0 ft
68)
A)
920.96 ft2
B)
770.24 ft2
C)
820.48 ft2
D)
Not enough data
23
69)
69)
A)
Acute
B)
Obtuse
C)
Straight
D)
Right
Find the volume.
70)
7.5 cm
5.8 cm
4.1 cm
70)
A)
17.4 cm3
B)
178.350 cm3
C)
178.350 cm2
D)
47.60 cm3
Solve the problem.
71)
Find the total area of the roof of the garage.
8 ft
13 ft
71)
A)
104ft2
B)
42 ft2
C)
312ft2
D)
208ft2
Find the volume.
72)
Find the volume of a box 3.1 ft ×3ft ×6ft.
72)
A)
27.9 ft3
B)
57.66 ft3
C)
108ft3
D)
55.8 ft3
Solve the problem. Use 3.14 for .
73)
The outfield wall in a baseball park is in the shape of a quarter circle. If the radius of the circle is 6
ft, how long is the wall?
73)
A)
9.42 ft
B)
18.84 ft
C)
7.42 ft
D)
4.71 ft
Solve the problem. Use 3.14 for . Round to the nearest tenth.
74)
A cylindrical flower vase is 3 in. across the top and about 8 in. high. How many cubic inches of
water could it hold?
74)
A)
113.0 in3
B)
56.5 in3
C)
226.1 in3
D)
150.7 in3
Find the missing angle measure.
75)
27°
x
75)
A)
153°
B)
117°
C)
27°
D)
63°
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
76)
13 mi c
16 mi
76)
A)
c =425mi
B)
c =425mi; c 20.616 mi
C)
c =425mi; c =212.5 mi
D)
c =185mi; c 13.601 mi
Find the missing angle measure.
77)
23°
121°
77)
A)
144°
B)
98°
C)
41°
D)
36°
Find the area.
78)
48 ft
54 ft
25.5 ft
78)
A)
1152 ft2
B)
1224 ft2
C)
1296 ft2
D)
612ft2
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
79)
16 mi c
19 mi
79)
A)
c =35 mi; c 5.916 mi
B)
c =617mi
C)
c =617mi; c =308.5 mi
D)
c =617mi; c 24.839 mi
Find the volume.
80)
Find the volume of a cube measuring 5cm on each edge.
80)
A)
50 cm3
B)
15 cm3
C)
125cm3
D)
25 cm3
Find the radius or diameter as requested.
81)
Find the radius.
92 mi
81)
A)
6644.24 mi
B)
23 mi
C)
144.44 mi
D)
46 mi
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
82)
b = 20, c = 25
82)
A)
a = 45
B)
a = 5
C)
a = 225
D)
a = 15
Find the area of the circle. Use 3.14 or 22
7 for as indicated.
83)
Use 3.14 for .
4.3 yd
83)
A)
13.502 yd2
B)
58.0586 yd2
C)
14.51465 yd2
D)
27.004 yd2
Find the area.
84)
Find the area of a square measuring 48.7 m on a side.
84)
A)
97.4 m2
B)
194.8 m2
C)
4743.38 m2
D)
2371.69 m2
85)
Find the area of a square measuring 51
3 in. on a side.
85)
A)
211
3in.2
B)
102
3in.2
C)
568
9in.2
D)
284
9in.2
Find the missing angle measure.
86)
30°
26°
86)
A)
154°
B)
56°
C)
124°
D)
150°
Find the requested angle.
87)
Supplement of 114°
87)
A)
66°
B)
246°
C)
24°
D)
228°
Solve the problem.
88)
A photograph measuring 4 in. by 61
2 in. is put in a frame measuring 51
2 in. by 8 in. What is the
area of the border around the photo?
88)
A)
18 in.2
B)
161
2in.2
C)
191
2in.2
D)
15 in.2
89)
In the picture below, how many acute angles are formed in total? How many obtuse angles are
formed in total?
89)
A)
4 acute angles; 4 obtuse angles
B)
4 acute angles; 5 obtuse angles
C)
3 acute angles; 4 obtuse angles
D)
3 acute angles; 3 obtuse angles
Find the perimeter of the polygon.
90)
A square with side 6.7 yd
90)
A)
89.78 yd
B)
36.8 yd
C)
13.4 yd
D)
26.8 yd
Find the volume of the circular cone. Use 3.14 or 22
7 for as indicated and round as indicated.
91)
Use 3.14 for . Round to the nearest whole number.
7 in.
5 in.
91)
A)
366 in.3
B)
183 in.3
C)
73 in.3
D)
275 in.3
Find the area.
92)
4 mi
8 mi
20 mi
92)
A)
3200 mi2
B)
96 mi2
C)
40 mi2
D)
32 mi2
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
93)
15 cm c
20 cm
93)
A)
c =24 cm
B)
c =25 cm
C)
c =13 cm
D)
c =18 cm
Name the angle in five different ways.
94)
94)
A)
Angle EFG,
EFG, angle E,
E, or
GFE
B)
Angle GFE,
GFE, angle EGF,
EGF, or
G
C)
Angle GFE,
F, angle EFG,
EFG, or
GFE
D)
Angle F, angle EFG, angle GEF,
EFG, or
F
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
95)
3 ft
b
15 ft
95)
A)
b =222 ft; c 14.900 ft
B)
b =216 ft; c 14.697 ft
C)
b =12 ft
D)
b =234 ft; c 15.297 ft
Solve the problem.
96)
A room measures 14 ft by 19 ft. The ceiling is 10 ft above the floor. There is one window measuring
3 ft by 6 ft. The door is 3 ft by 61
2 ft. What is the total area of the walls and ceiling (excluding the
door and window)?
96)
A)
558.5 ft2
B)
622.5 ft2
C)
888.5 ft2
D)
228.5 ft2
C
Name the angle in five different ways.
97)
97)
A)
Angle XYZ, angle ZYX, angle ZYX,
XYZ, or
Y
B)
Angle ZYX,
XYZ,
ZYX,
XZY, or
Y
C)
Angle ZYX, angle XYZ,
Y,
ZXY, or angle ZYX
D)
Angle ZYX, angle XZY,
XYZ,
ZYX, or
Y
A
B
Solve the problem. Give an exact answer and an approximation to the nearest tenth.
98)
A painter leans a ladder against one wall of a house. At what height does the ladder touch the wall?
16 ft
10 ft
98)
A)
6 ft 2.4 ft
B)
156 ft 12.5 ft
C)
156 ft =78 ft
D)
356 ft 18.9 ft
Find the circumference of the circle. Use 3.14 or 22
7 for as indicated.
99)
Use 3.14 for .
4.6 ft
99)
A)
28.888 ft
B)
14.444 ft
C)
16.611 ft
D)
7.222 ft
Tell whether the angle is acute, right, obtuse, or straight.
100)
ADB
100)
A)
Obtuse
B)
Straight
C)
Right
D)
Acute
Find the perimeter of the polygon.
101)
28 m
16 m 16 m
34 m
101)
A)
34 m
B)
448 m
C)
50 m
D)
94 m
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
102)
a = 7, b = 24
102)
A)
c = 27
B)
c = 31
C)
c = 25
D)
c = 625
Find the area of the figure. Use 3.14 for .
103)
6.0 ft
9.8 ft
103)
A)
49.38 ft2
B)
44.67 ft2
C)
22.335 ft2
D)
Not enough data
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
104)
104)
A)
Isosceles; right
B)
Isosceles; acute
C)
Scalene; acute
D)
Scalene; right
105)
11 10
8
105)
A)
Isosceles; obtuse
B)
Scalene; acute
C)
Equilateral; obtuse
D)
Equilateral; acute
Solve the problem. Use 3.14 for .
106)
The striking circle in field hockey is a semicircle with a radius of 15.6 yd. Find the area of the
semicircle.
106)
A)
382.0752 yd2
B)
764.1504 yd2
C)
3056.6016 yd2
D)
97.968 yd2
Solve the problem.
107)
A yard in the shape of a square measures 17 ft on each side. A triangular area with a height of 6 ft
and a base of 8.5 ft is dug up for a flower bed. How much yard area is left over?
107)
A)
314.5 ft2
B)
119ft2
C)
263.5 ft2
D)
238ft2
Find the area.
108)
12
3 m 4 m
51
4 m
108)
A)
21 m2
B)
101
2 m2
C)
83
4 m2
D)
43
8 m2
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
109)
17 ft 25 ft
b
109)
A)
b =8ft; b 2.828 ft
B)
b =336ft
C)
b =336ft; b 18.330 ft
D)
b =914ft; b 30.232 ft
Solve the problem.
110)
How much will it cost to carpet a 16 ft by 25 ft room if carpeting costs $15.50 per square yard?
110)
A)
$2066.67
B)
$516.67
C)
$6200.00
D)
$688.89
Use a protractor to measure the angle.
111)
111)
A)
180°
B)
45°
C)
0°
D)
90°
D
Find the missing angle measure.
112)
78°
78°
112)
A)
24°
B)
34°
C)
102°
D)
204°
A
D
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
113)
3 m 7 m
b
113)
A)
b =40 m; b =20.0 m
B)
b =40 m; b 6.325 m
C)
b =4 m; b 2.000 m
D)
b =58 m; b 7.616 m
Find the perimeter. Use 3.14 for .
114)
14.4 km
10.6 km
114)
A)
56.042 km
B)
162.144 km
C)
72.684 km
D)
135.998 km
Tell whether the angle is acute, right, obtuse, or straight.
115)
115)
A)
Acute
B)
Right
C)
Obtuse
D)
Straight
Solve the problem.
116)
A room measures 15 ft by 20 ft. The ceiling is 11 ft above the floor. The door is 3 ft by 7 ft. A gallon
of paint will cover 86.3 ft2. How many gallons of paint are needed to paint the room (including the
ceiling and not including the door). Round your answer up to the next whole number.
116)
A)
13 gallons
B)
9 gallons
C)
4 gallons
D)
22 gallons
Find the volume of the circular cone. Use 3.14 or 22
7 for as indicated and round as indicated.
117)
Use 3.14 for . Round to the nearest hundredth.
8.1 mm
2.7 mm
117)
A)
20.62 mm3
B)
61.80 mm3
C)
185.41 mm3
D)
61.86 mm3
Provide an appropriate response.
118)
A rectangular solid and a circular cylinder have the same volume and the same height. The base of
the rectangular solid is a square. Which (if any) of the following statements are true?
(i) The rectangular solid and the cylinder have the same base area.
(ii) The rectangular solid has a greater base area than the cylinder.
(iii) The side length of the square base of the rectangular solid is equal to the diameter of the
cylinder.
(iv) The side length of the square base of the rectangular solid is less than the diameter of the
cylinder.
118)
A)
(i) and (iv)
B)
(ii)
C)
(ii) and (iii)
D)
(i) and (iii)
Find the area.
119)
26 m
30 m
119)
A)
56 m2
B)
112m2
C)
780m2
D)
1560 m2
Find the volume.
120)
10 ft
10 ft 10 ft
120)
A)
30 ft3
B)
1000 ft3
C)
100ft3
D)
200ft3
Find the area.
121)
Find the area of a rectangle measuring 5.7 yd by 19.82 yd.
121)
A)
25.52 yd2
B)
225.948 yd2
C)
32.49 yd2
D)
112.974 yd2
Solve the problem.
122)
Christmas lights need to be hung around an L–shaped office building. Find the total length of the
Christmas lights needed to hang them around the entire building.
31 ft
18 ft
40 ft
16 ft
122)
A)
127 ft
B)
142 ft
C)
105 ft
D)
158 ft
Find the area.
123)
36 m32 m
45 m
123)
A)
512m2
B)
1440 m2
C)
720m2
D)
576m2
124)
4.6 m
5.5 m
124)
A)
50.60 m2
B)
20.2 m2
C)
25.30 m2
D)
10.1 m2
Find the perimeter. Use 3.14 for .
125)
18 yd 18 yd
18yd
125)
A)
56.52 yd
B)
84.78 yd
C)
149.04 yd
D)
110.52 yd
Solve the problem. Use 3.14 for . Round to the nearest tenth.
126)
An exercise ball has a diameter of 2.6 feet. Find the volume.
126)
A)
73.6 ft3
B)
36.8 ft3
C)
5.3 ft3
D)
9.2 ft3
Tell whether the angle is acute, right, obtuse, or straight.
127)
127)
A)
Right
B)
Acute
C)
Straight
D)
Obtuse
Find the area of the circle. Use 3.14 or 22
7 for as indicated.
128)
Use 3.14 for .
1.75 ft
128)
A)
38.465 ft2
B)
21.98 ft2
C)
10.99 ft2
D)
9.61625 ft2
Find the area of the shaded region.
129)
Each small triangle has a height and a base of 6 m.
48 m
48 m
129)
A)
1440 m2
B)
1296 m2
C)
2592 m2
D)
Not enough information given
Find the volume of the circular cylinder. Use 3.14 or 22
7 for as indicated.
130)
Use 22
7 for .
15 m
84 m
130)
A)
59,400 m3
B)
3960 m3
C)
332,640 m3
D)
237,600 m3
131)
Use 3.14 for .
17 m
4.5 m
131)
A)
240.21 m3
B)
4323.78 m3
C)
480.42 m3
D)
1080.945 m3
Approximate to three decimal places.
132)
600
132)
A)
24.496
B)
24.494
C)
24.485
D)
24.495
Solve the problem.
133)
How much will it cost to carpet a rectangular room measuring 22 m by 23 m, if carpeting costs
$17.30 per square meter?
133)
A)
$778.50
B)
$1557.00
C)
$17,507.60
D)
$8753.80
Find the volume of the circular cone. Use 3.14 or 22
7 for as indicated and round as indicated.
134)
Use 22
7 for . Round to the nearest whole number.
57 m
21 m
134)
A)
71,478 m3
B)
79,002 m3
C)
1254 m3
D)
26,334 m3
Solve the problem. Use 3.14 for . Round to the nearest tenth.
135)
A toy baseball bat comes with 3 plastic balls in a box that is a rectangular solid. The box is just big
enough to hold the 3 balls. The radius of the balls is 1.7 in. What is the volume of the air in the box
surrounding the balls.
135)
A)
56.2 in3
B)
47.0 in3
C)
18.7 in3
D)
97.3 in3
Solve the problem. Give an exact answer and an approximation to the nearest tenth.
136)
Below is a diagram of a water slide. How far is it along the ground from the end of the slide back to
the base of the ladder that leads to the slide?
13 ft 18 ft
136)
A)
5 ft 2.2 ft
B)
155 ft =77.5 ft
C)
493 ft 22.2 ft
D)
155 ft 12.4 ft
Find the radius or diameter as requested.
137)
Find the radius.
83.8 ft
137)
A)
5512.62 ft
B)
131.566 ft
C)
41.9 ft
D)
20.95 ft
Find the volume of the sphere. Use 3.14 or 22
7 for as indicated.
138)
Use 3.14 for .
d =2.2 cm
138)
A)
5.572 cm3
B)
44.58 cm3
C)
5.066 cm3
D)
3.135 cm3
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
139)
19
19 19
139)
A)
Scalene; right
B)
Equilateral; acute
C)
Scalene; acute
D)
Isosceles; obtuse
Find the area.
140)
28 in.
34 in.
140)
A)
476in.2
B)
952in.2
C)
392in.2
D)
238in.2
Find the volume.
141)
5yd
5yd
5yd
141)
A)
50 yd3
B)
25 yd3
C)
125yd3
D)
15 yd3
Find the perimeter of the polygon.
142)
32 m
16 m 16 m
26 m
142)
A)
90 m
B)
32 m
C)
416 m
D)
48 m
Find the area.
143)
8 in.
16 in.
143)
A)
24 in.2
B)
64 in.2
C)
128in.2
D)
256in.2
Find the area of the figure. Use 3.14 for .
144)
7 m
144)
A)
115.395 m2
B)
205.1467 m2
C)
28.8488 m2
D)
Not enough data
Find the volume of the circular cylinder. Use 3.14 or 22
7 for as indicated.
145)
Use 3.14 for .
5yd
15 yd
145)
A)
117.75 yd3
B)
883.125 yd3
C)
1177.5 yd3
D)
235.5 yd3
Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to
three decimal places.
146)
7 cm
10 cm
c
146)
A)
c =149 cm; c 12.207 cm
B)
c =17 cm
C)
c =107 cm; c 10.344 cm
D)
c =51 cm; c 7.141 cm
Name the angle in five different ways.
147)
147)
A)
S,
TSR, angle RST, angle TSR, or
RST
B)
Angle RST, angle TRS, angle S,
TSR, or
S
C)
Angle T, angle TSR,
T,
TSR, or
RST
D)
RST,
R, angle RST, angle R, or
TSR
Find the volume of the circular cylinder. Use 3.14 or 22
7 for as indicated.
148)
Use 3.14 for .
19 yd
16 yd
148)
A)
18,136.64 yd3
B)
477.28 yd3
C)
954.56 yd3
D)
3818.24 yd3
Find the perimeter of the polygon.
149)
4.4 m
4.0 m 4.0 m
4.4 m
149)
A)
8.4 m
B)
12.4 m
C)
12.8 m
D)
16.8 m
Find the area of the shaded region.
150)
Each side 24 cm
150)
A)
288cm2
B)
1728 cm2
C)
2304 cm2
D)
2880 cm2
Find the circumference of the circle. Use 3.14 or 22
7 for as indicated.
151)
Use 3.14 for .
2.35 mi
151)
A)
7.379 mi
B)
14.758 mi
C)
29.516 mi
D)
69.363 mi
Find the area of the circle. Use 3.14 or 22
7 for as indicated.
152)
Use 3.14 for .
34 cm
152)
A)
907.46 cm2
B)
213.52 cm2
C)
3629.84 cm2
D)
106.76 cm2
Use a protractor to measure the angle.
153)
153)
A)
180°
B)
70°
C)
40°
D)
110°
Simplify.
154)
36
154)
A)
12
B)
8
C)
6
D)
18
Find the area of the figure. Use 3.14 for .
155)
15 m
13 m
155)
A)
185.81 m2
B)
274.13 m2
C)
283.31 m2
D)
Not enough data
Find the perimeter. Use 3.14 for .
156)
15 ft
15 ft
156)
A)
47.1 ft
B)
77.1 ft
C)
94.2 ft
D)
124.2 ft
Tell whether the angle is acute, right, obtuse, or straight.
157)
157)
A)
Right
B)
Straight
C)
Acute
D)
Obtuse
Find the area.
158)
5 cm
5 cm
158)
A)
20 cm2
B)
12.5 cm2
C)
25 cm2
D)
10 cm2
Simplify.
159)
160,000
159)
A)
80,000
B)
400
C)
1600
D)
800
Tell whether the angle is acute, right, obtuse, or straight.
160)
ADB
160)
A)
Obtuse
B)
Straight
C)
Acute
D)
Right
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
161)
161)
A)
Equilateral; obtuse
B)
Equilateral; right
C)
Scalene; right
D)
Scalene; obtuse
Use a protractor to measure the angle.
162)
162)
A)
150°
B)
120°
C)
180°
D)
30°
Find the radius or diameter as requested.
163)
Find the radius.
3.8 mi
163)
A)
5.966 mi
B)
1.9 mi
C)
11.34 mi
D)
0.95 mi
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
164)
a = 1, b =5
164)
A)
c =24; c 4.899
B)
c =6; c 2.449
C)
c =26; c 5.099
D)
c =6
Solve the problem. Use 3.14 for .
165)
A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a
radius of 7 ft. How far does the skater go one time around the figure eight?
165)
A)
21.98 ft
B)
19.98 ft
C)
87.92 ft
D)
43.96 ft
Find the area of the circle. Use 3.14 or 22
7 for as indicated.
166)
Use 3.14 for .
20 mi
166)
A)
125.6 mi2
B)
1256 mi2
C)
251.2 mi2
D)
5024 mi2
Find the perimeter of the polygon.
167)
A rectangle measuring 12
3 mm by 61
2 mm.
167)
A)
105
6 mm
B)
18 mm
C)
81
6 mm
D)
161
3 mm
Find the area.
168)
Find the area of a square measuring 93 km on a side.
168)
A)
186km2
B)
17,298 km2
C)
372km2
D)
8649 km2
Find the volume of the sphere. Use 3.14 or 22
7 for as indicated.
169)
Use 3.14 for .
r =1.5 m
169)
A)
113.04 m3
B)
7.948 m3
C)
9.42 m3
D)
14.13 m3
Find the perimeter of the polygon.
170)
4.8 m
4.5 m 4.5 m
4.8 m
170)
A)
18.6 m
B)
14.1 m
C)
9.3 m
D)
13.8 m
Find the volume of the circular cylinder. Use 3.14 or 22
7 for as indicated.
171)
Use 3.14 for .
14 cm
4cm
171)
A)
703.36 cm3
B)
175.84 cm3
C)
2813.44 cm3
D)
351.68 cm3
Find the volume of the circular cone. Use 3.14 or 22
7 for as indicated and round as indicated.
172)
Use 22
7 for . Give an exact answer.
10
3 yd
5
4 yd
172)
A)
10115
126 yd3
B)
5115
252 yd3
C)
1631
84 yd3
D)
3231
42 yd3
Find the area of the shaded region.
173)
12 m
10 m
12 m
173)
A)
30 m2
B)
120m2
C)
60 m2
D)
Not enough information given
Find the volume.
174)
Find the volume of a box 2.8 m×5.4 m×8 m.
174)
A)
81.648 m3
B)
120.96 m3
C)
345.6 m3
D)
62.72 m3
Find the perimeter of the polygon.
175)
A rectangle measuring 4ft by 5ft
175)
A)
2ft
B)
16 ft
C)
18 ft
D)
9ft
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
176)
a = 1, c =16
176)
A)
b =15; b 3.873
B)
b =257; b 16.031
C)
b =15
D)
b =255; b 15.969
Find the volume of the sphere. Use 3.14 or 22
7 for as indicated.
177)
Use 3.14 for .
d =3 m
177)
A)
113.04 m3
B)
9.42 m3
C)
7.948 m3
D)
14.13 m3
Find the area of the circle. Use 3.14 or 22
7 for as indicated.
178)
Use 3.14 for .
10 cm
178)
A)
78.5 cm2
B)
314cm2
C)
31.4 cm2
D)
62.8 cm2
D)
Simplify.
179)
1024
179)
A)
64
B)
512
C)
30
D)
32
D)
Find the area.
180)
Find the area of a rectangle measuring 71
3 mi by 32
3 mi.
180)
A)
212
9mi2
B)
11 mi2
C)
268
9mi2
D)
22 mi2
D)
Tell whether the angle is acute, right, obtuse, or straight.
181)
ADB
181)
A)
Acute
B)
Right
C)
Obtuse
D)
Straight
D)
Solve the problem. Give an exact answer and an approximation to the nearest tenth.
182)
The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in
this roof plan.
6 ft
13 ft
182)
A)
49 ft 7.0 ft
B)
205 ft 14.3 ft
C)
205 ft =102.5 ft
D)
19 ft 4.4 ft
Solve the problem. Use 3.14 for .
183)
A circular fountain has a statue in its center, 8 m from the edge. What is the distance around the
fountain?
183)
A)
50.24 m
B)
64 m
C)
25.12 m
D)
48.24 m
184)
A semicircular driveway has a diameter of 110 ft. How long is the driveway?
184)
A)
345.4 ft
B)
172.7 ft
C)
170.7 ft
D)
2016.7 ft
Find the radius or diameter as requested.
185)
Find the diameter.
15 cm
185)
A)
7.5 cm
B)
47.1 cm
C)
30 cm
D)
706.50 cm
Find the area of the circle. Use 3.14 or 22
7 for as indicated.
186)
Use 3.14 for .
10.5 ft
186)
A)
131.88 ft2
B)
1384.74 ft2
C)
346.185 ft2
D)
65.94 ft2
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
187)
a =5, b =5
187)
A)
c =26; c 5.099
B)
c =10; c 3.162
C)
c =5
D)
c =50; c 7.071
Find the volume.
188)
Find the volume of a box 24 m×23 m×12 m.
188)
A)
3312 m3
B)
6624 m3
C)
12,696 m3
D)
6912 m3
Find the area.
189)
7 cm
13 cm
21 cm
189)
A)
147cm2
B)
273cm2
C)
41 cm2
D)
182cm2
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact
answer and, if appropriate, an approximation to three decimal places.
190)
a = 8, c = 17
190)
A)
b = 225
B)
b = 9
C)
b = 25
D)
b = 15
Find the area.
191)
19 m
9 m
14 m
191)
A)
1197 m2
B)
148.5 m2
C)
297m2
D)
257m2
Find the missing angle measure.
192)
52°
64° x
192)
A)
116°
B)
52°
C)
26°
D)
64°
Solve the problem. Use 3.14 for . Round to the nearest tenth.
193)
The foundation for a cylindrical flower bed is a cylinder 29 ft in diameter and 5ft high. How many
cubic ft of concrete are needed to build the foundation?
193)
A)
13,203.7 ft3
B)
910.6 ft3
C)
6601.9 ft3
D)
3300.9 ft3
Find the volume.
194)
Find the volume of a cube measuring 10 yd on each edge.
194)
A)
30 yd3
B)
1000 yd3
C)
100yd3
D)
200yd3
Solve the problem. Use 3.14 for .
195)
Find the area of the circular racetrack.
(Round to the nearest foot.) r =75 ft
R =120 ft
195)
A)
45,216 ft2
B)
27,554 ft2
C)
17,663 ft2
D)
25,434 ft2
Use a protractor to measure the angle.
196)
196)
A)
15°
B)
180°
C)
150°
D)
165°
Solve the problem.
197)
A rectangular piece of fabric is 16 ft by 12 ft. A triangular area with a height of 5.7 ft and a base of
9.8 ft is cut from the fabric. How much area is left over?
197)
A)
250.8 ft2
B)
136.14 ft2
C)
164.07 ft2
D)
272.28 ft2
198)
A rectangular sheet of paper is 50 in. by 38 in. An area in the shape of a parallelogram with a height
of 19 in. and a base of 38 in. is cut from the paper. How much area is left over?
198)
A)
2622 in.2
B)
228in.2
C)
1178 in.2
D)
1539 in.2
Find the requested angle.
199)
Complement of 70°
199)
A)
110°
B)
140°
C)
20°
D)
290°
Use a protractor to measure the angle.
200)
200)
A)
180°
B)
25°
C)
65°
D)
155°
Find the volume of the circular cylinder. Use 3.14 or 22
7 for as indicated.
201)
Use 3.14 for .
19 yd
5yd
201)
A)
298.3 yd3
B)
1416.925 yd3
C)
1491.5 yd3
D)
149.15 yd3
Solve the problem.
202)
Tom is going to build a fence around his garden which is a rectangle measuring 10 m by 15 m. He
will first put in posts which will be 5 m apart. If the posts cost $4.55 each, what will be the total cost
for all the posts?
202)
A)
$27.30
B)
$22.75
C)
$45.50
D)
$36.40
Find the volume of the sphere. Use 3.14 or 22
7 for as indicated.
203)
Use 3.14 for .
r =0.75 m
203)
A)
2.355 m3
B)
1.766 m3
C)
14.13 m3
D)
0.994 m3
Tell whether the angle is acute, right, obtuse, or straight.
204)
204)
A)
Right
B)
Straight
C)
Obtuse
D)
Acute
Solve the problem.
205)
A pest control company sprays insecticide around the perimeter of a 430 ft by 160 ft building. If the
spray costs $0.15 per foot, how much did the job cost to the nearest dollar?
205)
A)
$89
B)
$177
C)
$860
D)
$10,320
Find the area.
206)
3.8 ft
2.7 ft
206)
A)
10.26 ft2
B)
5.13 ft2
C)
13 ft2
D)
6.5 ft2
Tell whether the angle is acute, right, obtuse, or straight.
207)
207)
A)
Straight
B)
Obtuse
C)
Right
D)
Acute
Find the area.
208)
13 m
13 m
208)
A)
84.5 m2
B)
52 m2
C)
26 m2
D)
169m2
Approximate to three decimal places.
209)
83
209)
A)
10.110
B)
9.109
C)
9.110
D)
9.120
210)
210)
A)
Straight
B)
Obtuse
C)
Acute
D)
Right
211)
211)
A)
90°
B)
0°
C)
45°
D)
180°
Find the volume.
212)
3 ft 71
3 ft
91
2 ft
212)
A)
692
3ft3
B)
1891
6ft3
C)
195
6ft3
D)
209ft3
Find the circumference of the circle. Use 3.14 or 22
7 for as indicated.
213)
Use 3.14 for .
3yd
213)
A)
28.260 yd
B)
3.810 yd
C)
9.420 yd
D)
18.84 yd
Solve the problem.
214)
Find the total area of the ends of the garage.
5 ft
8 ft
15 ft
214)
A)
390ft2
B)
315ft2
C)
157.5 ft2
D)
280ft2
Find the area of the figure. Use 3.14 for .
215)
15.0 yd
43.0 yd
215)
A)
733.3125 yd2
B)
556.6875 yd2
C)
821.625 yd2
D)
Not enough data
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
216)
15
12
6
216)
A)
Scalene; obtuse
B)
Isosceles; acute
C)
Scalene; acute
D)
Isosceles; obtuse
217)
7 ft
6 ft
14 ft
217)
A)
27 ft2
B)
49 ft2
C)
126ft2
D)
63 ft2
218)
218)
A)
50°
B)
80°
C)
130°
D)
40°
Solve the problem. Use 3.14 for .
219)
A wicker basket has a circular rim with a diameter of 8 in. How many inches of ribbon are needed
to go once around the rim?
219)
A)
23.12 in.
B)
50.24 in.
C)
64 in.
D)
25.12 in.
220)
8 m 4 m
18 m 14 m
24 m 20 m
12 m
24 m
220)
A)
124 m
B)
110 m
C)
106 m
D)
96 m
221)
221)
A)
M,
LMN,
NML, angle NML, or angle LMN
B)
Angle L, angle LMN, angle NML,
LMN, or
L
C)
LMN,
N,
NML, angle NML, or angle N
D)
LNM,
NLM,
M, angle LMN, or angle M
Find the radius or diameter as requested.
222)
Find the diameter.
1
5 m
222)
A)
22
35 m
B)
7
110 m
C)
2
5 m
D)
1
10 m
Name the angle in five different ways.
223)
223)
A)
Angle B, angle CAB,
ABC,
CBA, or
B
B)
Angle ABC, angle CBA,
ABC,
CBA, or
B
C)
Angle ABC, angle B, angle CBA, angle ACB, or
B
D)
ABC,
CBA,
B,
BCA, or angle B
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
224)
4 6
6
224)
A)
Equilateral; right
B)
Isosceles; acute
C)
Equilateral; acute
D)
Isosceles; right
Answer Key
Testname: C9
Answer Key
Testname: C9
Answer Key
Testname: C9
Answer Key
Testname: C9
Answer Key
Testname: C9