Solve the problem, using 3.14 for . Round to nearest tenth unless instructed differently.
54)
A circular fountain has a statue in its center, 3 m from the edge. What is the distance around the
fountain?
54)
A)
16.8 m
B)
18.8 m
C)
9.4 m
D)
9 m
Find the area of the shaded region.
55)
7 m
3 m
10 m 22 m
11 m
17 m
55)
A)
288 m2
B)
341.5 m2
C)
not enough information given
D)
331 m2
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest hundredth if necessary.
56)
A cereal box measures 9.3 in. by 4.5 in. by 12 in. high. Find the amount of cardboard needed to
make the box.
56)
A)
829.8 in.2
B)
414.9 in.2
C)
207.5 in.2
D)
319.1 in.2
Find the radius or diameter as requested.
57)
Find the radius.
66.4 ft
57)
A)
16.6 ft
B)
3461.03 ft
C)
33.2 ft
D)
104.248 ft
Find the circumference and area of a circle having the given diameter or radius. Use 3.14 for . Round your results to the
nearest tenth.
58)
d =91
2cm
58)
A)
14.9 cm; 59.7 cm2
B)
14.9 cm; 283.4 cm2
C)
29.8 cm; 29.8 cm2
D)
29.8 cm; 70.8 cm2
Find the perimeter.
59)
22 ft
5ft
17 ft
5ft
59)
A)
93 ft
B)
195 ft
C)
88 ft
D)
66 ft
Solve the problem.
60)
A church steeple casts a shadow 105 ft long, and at the same time a 6.0–ft post casts a shadow 5.0 ft
long. How high is the steeple? Round to the nearest unit.
60)
A)
88 ft
B)
6 ft
C)
107 ft
D)
126 ft
Find the area of the shaded region.
61)
4 m
3 m
4 m
61)
A)
not enough information given
B)
12 m2
C)
3 m2
D)
6 m2
Use the properties of parallel lines to solve the problem.
62)
Line m is parallel to line n. If m
6 =123°, find the measure of each angle.
62)
A)
5,
7,
8 all measure 123°;
1,
2,
3,
4 all measure 57°
B)
2,
4,
8 all measure 123°;
1,
3,
5,
7 all measure 33°
C)
2,
4,
8 all measure 123°;
1,
3,
5,
7 all measure 67°
D)
2,
4,
8 all measure 123°;
1,
3,
5,
7 all measure 57°
Find the volume of the specified solid. Use 3.14 as the approximate value of , and round your answer to the nearest
tenth.
63)
A hemisphere with radius 1.4 m
63)
A)
11.5 m3
B)
6.5 m3
C)
3.2 m3
D)
5.7 m3
Find the circle’s circumference or area, as requested. Use 3.14 as the approximate value of , and round your answer to the
nearest tenth.
64)
Find the circumference.
3.7 mi
64)
A)
11.6 mi
B)
5.8 mi
C)
10.7 mi
D)
23.2 mi
Find the area of the figure. Use 3.14 for . Round your answer to the nearest tenth.
65)
17 m
13 m
65)
A)
223.9 m2
B)
337.4 m2
C)
334.4 m2
D)
Not enough data
Find the unknown length in the right triangle. If necessary, round to the nearest tenth.
66)
10.5 cm
7.6 cm
66)
A)
7.2 cm
B)
4.3 cm
C)
13.0 cm
D)
168.0 cm
Find the volume of the specified solid. Use 3.14 as the approximate value of , and round your answer to the nearest
tenth.
67)
A hemisphere with diameter 10 yd
67)
A)
147.2 yd3
B)
261.7 yd3
C)
294.4 yd3
D)
523.3 yd3
Solve the problem, using 3.14 for . Round to nearest tenth unless instructed differently.
68)
The outfield wall in a baseball park is in the shape of a quarter circle. If the radius of the circle is 11
ft, how long is the wall?
68)
A)
17.3 ft
B)
8.6 ft
C)
15.3 ft
D)
34.5 ft
Solve the problem.
69)
Cindy wants to secure sequins on a piece of felt shaped like a trapezoid with a height of 8 cm and
bases of 19 cm and 13 cm. What is the cost of all the sequins if sequins cost $0.60 per cm2 of
coverage?
69)
A)
$105.30
B)
$28.80
C)
$24.00
D)
$76.80
70)
What will it cost to buy ceiling molding to go around a rectangular room with length 13 ft and
width 8 ft? The molding costs $1.83 per linear foot.
70)
A)
$47.58
B)
$76.86
C)
$29.28
D)
$38.43
Find the volume of the specified solid. Use 3.14 as the approximate value of , and round your answer to the nearest
tenth.
71)
Find the volume of a cylinder with radius 4 cm and height 10 cm.
71)
A)
502.4 cm3
B)
175.8 cm3
C)
226.1 cm3
D)
351.6 cm3
Find the area.
72)
5in. 6in.
5in.
23 in.
19 in.
72)
A)
407 in.2
B)
397 in.2
C)
412 in.2
D)
75 in.2
Find the square root. When necessary, round to nearest thousandth.
73)
19
73)
A)
4.369
B)
4.359
C)
4.358
D)
5.359
Find the perimeter.
74)
3.1 m
2.3 m
74)
A)
10.8 m
B)
7.7 m
C)
8.5 m
D)
5.4 m
Solve the problem. Assume that all pizzas are circular in shape and that the measurement given in the table is the
diameter of the pizza in inches. Use 3.14 as the approximate value of .
75)
Use the table below to find the cost per square inch for each size of pesto pizza. Round your
answers to the nearest thousandth. Which size is the best buy?
PIZZA Small 6 1
2“ Medium 11“ Large 15″
Cheese $4.40 $7.60 $10.85
Veggie $5.30 $9.20 $12.60
Pesto $5.10 $8.90 $15.40
75)
A)
Small
$6.503
Medium
$10.672
Large
$34.632
Best buy: small
B)
Small
$0.154
Medium
$0.094
Large
$0.087
Best buy: large
C)
Small
$0.170
Medium
$0.075
Large
$0.096
Best buy: medium
D)
Small
$0.041
Medium
$0.023
Large
$0.022
Best buy: large
Find the circumference and area of a circle having the given diameter or radius. Use 3.14 for . Round your results to the
nearest tenth.
76)
d =33 mi
76)
A)
103.6 mi; 854.9 mi2
B)
51.8 mi; 3419.5 mi2
C)
103.6 mi; 103.6 mi2
D)
51.8 mi; 207.2 mi2
Find the square root. When necessary, round to nearest thousandth.
77)
100
77)
A)
33.333
B)
50
C)
10
D)
11
Find the perimeter of the specified triangle. Assume the triangles are similar.
78)
Find the perimeter of the triangle on the right.
36.9 cm
27 cm
78)
A)
71.9 cm
B)
81.9 cm
C)
63.9 cm
D)
67.5 cm
79)
Find the perimeter of the triangle on the right.
75 ft
50 ft
79)
A)
125 ft
B)
153 ft
C)
195 ft
D)
136.2 ft
Find the measure of each of the angles.
80)
In the figure below,
AOB measures 33° and
COD measures 96°.
80)
A)
BOC measures 51°;
DOE measures 33°;
AOF measures 96°;
FOE measures 51°
B)
BOC measures 51°;
DOE measures 96°;
AOF measures 33°;
FOE measures 51°
C)
BOC measures 33°;
DOE measures 51°;
AOF measures 96°;
FOE measures 33°
D)
BOC measures 39°;
DOE measures 33°;
AOF measures 96°;
FOE measures 39°
Find the area.
81)
22
3 m 4 m
41
4 m
81)
A)
52
3 m2
B)
81
2 m2
C)
17 m2
D)
11 1
3 m2
Name the method that can be used to prove the triangles are congruent.
82)
10 m
12 m
12 m
10 m
82)
A)
SSS
B)
SAS
C)
ASA
D)
The triangles are not congruent.
Solve the problem. Round to the nearest tenth, if necessary.
83)
A long–distance runner runs 6 miles directly south and then faces due east and runs another 9
miles. How far is the runner, in a straight line, from his starting point?
6 mi
9 mi
83)
A)
58.5 mi
B)
7.5 mi
C)
5.4 mi
D)
10.8 mi
Find the volume of the specified solid. Use 3.14 as the approximate value of , and round your answer to the nearest
tenth.
84)
Find the volume of a cylinder with diameter 13.2 cm and height 8.9 cm.
84)
A)
321.2 cm3
B)
458.0 cm3
C)
642.4 cm3
D)
1217.3 cm3
Find the area of the figure. Use 3.14 for . Round your answer to the nearest tenth.
85)
13.0 yd
17.4 yd
85)
A)
292.5 yd2
B)
358.9 yd2
C)
Not enough data
D)
267.0 yd2
D)
Classify the angle as acute, obtuse, straight, or right.
86)
86)
A)
Right
B)
Acute
C)
Straight
D)
Obtuse
D)
Find the perimeter.
87)
6.6 m
2.8 m
87)
A)
16 m
B)
12.2 m
C)
9.4 m
D)
18.8 m
D)
Name the method that can be used to prove the triangles are congruent.
88)
63°
8 cm
61°
63°
8 cm
61°
88)
A)
SSS
B)
ASA
C)
SAS
D)
The triangles are not congruent.
Classify the angle as acute, obtuse, straight, or right.
89)
89)
A)
Obtuse
B)
Straight
C)
Right
D)
Acute
Solve the problem. Round to the nearest tenth, if necessary.
90)
Megan drove her car 10 miles north, then made a left turn and drove 2 miles west. How far is she,
in a straight line, from her starting point?
2 mi
10 mi
90)
A)
5.1 mi
B)
52 mi
C)
6 mi
D)
10.2 mi
Identify the figure as a line, line segment, or ray and name it using the appropriate symbol.
91)
91)
A)
Ray named AB or BA
B)
Line named AB or BA
C)
Line segment named AB or BA
D)
Line named AB or BA
Find the perimeter and area of the figure.
92)
2.5 in.
2.5 in. 2.5 in.
2.5 in.
92)
A)
P =12.5 in., A =6.25 in.2
B)
P =20 in., A =12.5 in.2
C)
P =10 in., A =6.25 in.2
D)
P =5in., A =12.5 in.2
Name the highlighted angle using the three–letter form of identification.
93)
B
L I
D
93)
A)
ITD or
DTI
B)
T
C)
BTD or
DTB
D)
LTD or
DTL
Find the area.
94)
16 m
8 m
11 m
94)
A)
168 m2
B)
704 m2
C)
216 m2
D)
108 m2
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest hundredth if necessary.
95)
The foundation for a cylindrical water tank is a cylinder with a diameter of 25 in. and 2in. high.
How many cubic in. of concrete are needed to build the foundation?
95)
A)
314.00 in.3
B)
3925.00 in.3
C)
981.25 in.3
D)
1962.50 in.3
Find the volume of the specified solid. Use 3.14 as the approximate value of , and round your answer to the nearest
tenth.
96)
A sphere with radius 3.5 m
96)
A)
1436.0 m3
B)
101.0 m3
C)
51.3 m3
D)
179.5 m3
Classify the angle as acute, obtuse, straight, or right.
97)
97)
A)
Acute
B)
Straight
C)
Right
D)
Obtuse
The two triangles below are similar. Find the missing lengths.
98)
12 15
4 5
6
98)
A)
x =20
B)
x =6
C)
x =18
D)
x =24
Find the circle’s circumference or area, as requested. Use 3.14 as the approximate value of , and round your answer to the
nearest tenth.
99)
Find the area.
1.65 yd
99)
A)
8.5 yd2
B)
20.7 yd2
C)
10.4 yd2
D)
34.2 yd2
Find the circumference and area of a circle having the given diameter or radius. Use 3.14 for . Round your results to the
nearest tenth.
100)
r =2.3 yd
100)
A)
14.4 yd; 16.6 yd2
B)
14.4 yd; 14.4 yd2
C)
7.2 yd; 28.9 yd2
D)
7.2 yd; 66.4 yd2
Answer Key
Testname: C7
Answer Key
Testname: C7
34