Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the area.
1)
9 cm
13 cm
21 cm
1)
A)
195 cm2
B)
273 cm2
C)
189 cm2
D)
43 cm2
Identify the pairs of complementary or supplementary angles, as indicated.
2)
Complementary
2)
A)
FBE &
EBD;
ABF &
CBD
B)
CBD &
DBE;
ABF &
FBE
C)
ABF &
FBE
D)
CBE &
EBA
Find the radius or diameter as requested.
3)
Find the radius.
76 yd
3)
A)
19 yd
B)
38 yd
C)
119.32 yd
D)
4534.16 yd
Find the volume specified. Use 3.14 as the approximate value of , and round your answer to the nearest tenth.
4)
Find the volume of a feed bin having the shape of a right circular cylinder of radius 7 ft and height
7 ft topped by a right circular cone of the same radius and height 9 ft.
4)
A)
1077.0 ft3
B)
1538.6 ft3
C)
2154.0 ft3
D)
923.2 ft3
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest hundredth if necessary.
5)
A certain marine engine has cylinders that are 4.19 cm in diameter and 5.07 cm deep. Find the total
volume of 6 cylinders.
5)
A)
800.45 cm3
B)
69.87 cm3
C)
838.47 cm3
D)
419.23 cm3
Find the square root. When necessary, round to nearest thousandth.
6)
4000
6)
A)
62.450
B)
63.246
C)
20.000
D)
64.031
Find the area of the figure. Use 3.14 for . Round your answer to the nearest tenth.
7)
5.0 yd
14.3 yd
7)
A)
36.5 yd2
B)
Not enough data
C)
51.9 yd2
D)
61.7 yd2
Find the volume specified. Use 3.14 as the approximate value of , and round your answer to the nearest tenth.
8)
Find the volume of a barber’s pole having the shape of a right circular cylinder of radius 3 in. and
height 19 in. topped by a sphere of the same radius.
8)
A)
226.1 in.3
B)
649.9 in.3
C)
1073.8 in.3
D)
536.9 in.3
Solve the problem.
9)
The shape of a patio is triangular with a height of 10 ft and base of 20 ft. What is the cost of outdoor
carpeting to cover the patio if the carpeting costs $6.50 per ft2?
9)
A)
$650.00
B)
$1300.00
C)
$100.00
D)
$325.00
Given that line l is parallel to line m, identify the specified angles.
10)
All pairs of alternate interior angles.
10)
A)
2 and
3;
6 and
7
B)
1 and
5;
4 and
8
C)
1 and
3;
8 and
6;
2 and
4;
7 and
5
D)
2 and
6;
3 and
7
D)
Find the area.
11)
21 yd
All segments are of equal length
11)
A)
252 yd2
B)
1323 yd2
C)
2205 yd2
D)
1764 yd2
D)
Identify the figure as a line, line segment, or ray and name it using the appropriate symbol.
12)
12)
A)
Line named AB or BA
B)
Line segment named AB or BA
C)
Line named AB or BA
D)
Line segment named AB or BA
D)
Find the requested angle.
13)
The supplement of 138°.
13)
A)
42°
B)
132°
C)
222°
D)
87°
Given that line l is parallel to line m, identify the specified angles.
14)
All pairs of corresponding angles.
14)
A)
1 and
5;
2 and
6;
4 and
8;
3 and
7
B)
1 and
8;
2 and
7;
4 and
5;
3 and
6
C)
3,
4 ,
5, and
6
D)
1 and
7;
2 and
8;
4 and
6;
3 and
5
Identify the figure as a line, line segment, or ray and name it using the appropriate symbol.
15)
15)
A)
Line named AB
B)
Ray named BA
C)
Ray named AB
D)
Ray named AB or BA
Find the unknown length in the right triangle. If necessary, round to the nearest tenth.
16)
15 mi
20 mi
16)
A)
25 mi
B)
24 mi
C)
13 mi
D)
18 mi
Find the volume of the specified solid. Use 3.14 as the approximate value of , and round your answer to the nearest
tenth.
17)
A sphere with radius 0.75 yd
17)
A)
14.1 yd3
B)
1.0 yd3
C)
2.4 yd3
D)
1.8 yd3
18)
A sphere with diameter 8 m
18)
A)
150.7 m3
B)
2143.6 m3
C)
267.9 m3
D)
67.0 m3
Name the method that can be used to prove the triangles are congruent.
19)
7 cm 11 cm
9 cm
7 cm 11 cm
9 cm
19)
A)
SSS
B)
ASA
C)
SAS
D)
The triangles are not congruent.
Find the area of the figure.
20)
79 m
79 m 79 m
59.25 m
79 m 79 m
79 m
20)
A)
10,921.75 m2
B)
12,482 m2
C)
17,162.75 m2
D)
217.25 m2
Solve the problem. Round to the nearest tenth, if necessary.
21)
The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in
this roof plan.
?
3 ft
14 ft
21)
A)
8.5 ft
B)
7.15 ft
C)
102.5 ft
D)
14.3 ft
Classify the angle as acute, obtuse, straight, or right.
22)
22)
A)
Right
B)
Straight
C)
Acute
D)
Obtuse
The two triangles below are similar. Find the missing lengths.
23)
16 24
12 18
24
23)
A)
x =24
B)
x =40
C)
x =30
D)
x =32
Find the area of the figure. Use 3.14 for . Round your answer to the nearest tenth.
24)
13 in.
24)
A)
398.0 in.2
B)
Not enough data
C)
707.5 in.2
D)
99.5 in.2
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest hundredth if necessary.
25)
A sphere has a 11 in. diameter. What is its volume?
25)
A)
391.81 in.3
B)
5572.45 in.3
C)
126.65 in.3
D)
696.56 in.3
Find the area of the figure. Use 3.14 for . Round your answer to the nearest tenth.
26)
24.0 in.
42.0 in.
26)
A)
Not enough data
B)
1460.2 in.2
C)
1083.4 in.2
D)
1234.1 in.2
Find the perimeter.
27)
40 m
21 m
27)
A)
82 m
B)
101 m
C)
61 m
D)
122 m
Name the method that can be used to prove the triangles are congruent.
28)
7 ft 7 ft
54°54°
28)
A)
SAS
B)
The triangles are not congruent.
C)
ASA
D)
SSS
Find the square root. When necessary, round to nearest thousandth.
29)
8
29)
A)
2.825
B)
2.833
C)
8.000
D)
2.828
Find the radius or diameter as requested.
30)
Find the radius.
3.2 ft
30)
A)
0.8 ft
B)
5.024 ft
C)
1.6 ft
D)
8.04 ft
Solve the problem.
31)
Syed, who is 1.93 m tall, wishes to find the height of a tree with a shadow 34.05 m long. He walks
23.46 m from the base of the tree along the shadow of the tree until his head is in a position where
the tip of his shadow exactly overlaps the end of the tree top’s shadow. How tall is the tree? Round
to the nearest hundredth.
31)
A)
2.80 m
B)
6.21 m
C)
1.93 m
D)
3.26 m
Identify the pair of lines as parallel, perpendicular, or intersecting.
32)
32)
A)
Perpendicular
B)
Intersecting
C)
Parallel
The two triangles below are similar. Find the missing lengths.
33)
8.1
5.4
33)
A)
x =6.3; y = 3.9
B)
x =7.2; y = 3.9
C)
x =1.24; y = 3.6
D)
x =6.3; y = 3.6
Find the area.
34)
29 cm
8cm
25 cm
7cm
34)
A)
144 cm2
B)
242 cm2
C)
407 cm2
D)
233 cm2
Identify the figure as a line, line segment, or ray and name it using the appropriate symbol.
35)
35)
A)
Ray named AB or BA
B)
Line named AB
C)
Ray named AB
D)
Line named AB or BA
Identify the pairs of complementary or supplementary angles, as indicated.
36)
Supplementary
36)
A)
AOC &
AOD;
AOD &
DOB;
DOB &
COB;
COB &
AOC
B)
AOD &
COB;
AOC &
DOB
C)
COB &
BOD;
BOD &
AOD
D)
AOC &
AOD;
AOD &
DOB
Classify the angle as acute, obtuse, straight, or right.
37)
37)
A)
Straight
B)
Acute
C)
Right
D)
Obtuse
Identify the pair of lines as parallel, perpendicular, or intersecting.
38)
38)
A)
Perpendicular
B)
Parallel
C)
Intersecting
Find the square root. When necessary, round to nearest thousandth.
39)
937
39)
A)
30.610
B)
937.000
C)
30.615
D)
30.607
Classify the angle as acute, obtuse, straight, or right.
40)
40)
A)
Right
B)
Acute
C)
Obtuse
D)
Straight
Solve the problem, using 3.14 for . Round to nearest tenth unless instructed differently.
41)
The diameter of a discus is about 8.7 in. What is the area of one flat surface of a discus? (Round to
the nearest hundredth.)
41)
A)
237.67 in.2
B)
27.32 in.2
C)
29.71 in.2
D)
59.42 in.2
Name the highlighted angle using the three–letter form of identification.
42)
A I
L D
42)
A)
ARI or
IRA
B)
IRD or
DRI
C)
R
D)
LRD or
DRL
Find the perimeter.
43)
19 cm
24 cm 12 cm
9cm
43)
A)
64 cm
B)
86 cm
C)
108 cm
D)
336 cm
Classify the angle as acute, obtuse, straight, or right.
44)
44)
A)
Obtuse
B)
Acute
C)
Right
D)
Straight
Find the area of the shaded region.
45)
Each small triangle has a height and a base of 6 m.
48 m
48 m
45)
A)
2592 m2
B)
1296 m2
C)
1440 m2
D)
not enough information given
The two triangles below are similar. Find the missing lengths.
46)
82 941
80 40
46)
A)
x =9
B)
x =13
C)
x =18
D)
x =27
Find the measure of the indicated angle.
47)
One of the base angles of an isosceles triangle is 39°. Find the measures of the other two angles. (An
isosceles triangle has two equal base angles.)
47)
A)
39°, 12°
B)
39°, 102°
C)
39°, 282°
D)
39°, 78°
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 .
48)
Use the table below to find the cost per square inch for each size of veggie pizza. Round your
answers to the nearest thousandth. Which size is the best buy?
PIZZA Small 7” Medium 11“ Large 15“
Cheese $4.20 $7.20 $10.70
Veggie $5.70 $7.50 $16.00
Pesto $5.80 $10.30 $13.90
48)
A)
Small
$0.037
Medium
$0.020
Large
$0.023
Best buy: medium
B)
Small
$6.748
Medium
$12.665
Large
$11.039
Best buy: small
C)
Small
$0.259
Medium
$0.217
Large
$0.340
Best buy: medium
D)
Small
$0.148
Medium
$0.079
Large
$0.091
Best buy: medium
Solve the problem.
49)
A horse’s paddock is triangular with a height of 67 ft and sides of 61 ft, 92 ft, and 59 ft. What is the
cost of fencing around the paddock if the fencing costs $2.20 per ft?
49)
A)
$466.40
B)
$6780.40
C)
$233.20
D)
$4495.70
Find the area.
50)
5 ft
4 ft
10 ft
50)
A)
19 ft2
B)
25 ft2
C)
30 ft2
D)
60 ft2
Find the volume specified. Use 3.14 as the approximate value of , and round your answer to the nearest tenth.
51)
Find the volume of an ice cream cone (right circular cone) of radius 5 cm and height 8 cm topped
by a perfect hemisphere of ice cream of the same radius.
51)
A)
680.4 cm3
B)
732.7 cm3
C)
471.0 cm3
D)
261.7 cm3
Identify the pair of lines as parallel, perpendicular, or intersecting.
52)
52)
A)
Intersecting
B)
Parallel
C)
Perpendicular
Identify the pairs of complementary or supplementary angles, as indicated.
53)
Supplementary
53)
A)
BAP &
PAT;
BAN &
TAN
B)
BAN &
PAT;
BAP &
TAN
C)
BAP &
PAT;
PAT &
TAN;
TAN &
BAN;
BAN &
BAP
D)
BAP &
BAN;
PAT &
TAN