MGF 1106 Spring 11 Ref: 606969
Review for Exam 3
Mr. Guillen
Exam 3 will be on 03/29/11 and cover the following sections: 10.1, 10.2, 10.3, 10.4, 10.5, 11.1.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find the requested angle.
1) Complement of 35°
1)
2) Complement of 23.3°
2)
1
3) Supplement of 42 °
2
3)
4) Supplement of 54.1°
4)
Solve the problem.
5) If ∠1 and ∠2 are complementary angles and ∠1 is 2 times as large as ∠2, then what are the
measures of the two angles?
5)
6) If ∠1 and ∠2 are supplementary angles and ∠1 is 5 times as large as ∠2, then what are the
measures of the two angles?
6)
7)
7)
3x + 13
∠1 and ∠2 are complementary angles. What are the measures of the two angles?
8)
5x - 11
8)
∠1 and ∠2 are supplementary angles. What are the measures of the two angles?
9)
9)
∠1 and ∠2 are supplementary angles. What are the measures of the two angles?
Use the properties of parallel lines to solve the problem.
10) If p  q and m∠8 = 44°, what are the measures of the other angles?
10)
11) If m  n and m∠6 = 127°, what are the measures of the other angles?
11)
12) In the figure, AB  CD . m∠ABC = 59°. Find the measures of angles ∠ABE, ∠FCD , and
∠BCD.
12)
Solve the problem.
13) If AB  PR, ∠P = 48°, and ∠Q = 50°, find the measure of angle x.
13)
14) Find the measure of angle x.
a = 63°
14)
15) Find the measure of angle x.
15)
x
y
120∘
16) If Main Street is parallel to First Street, find the value of x.
16)
398 m
269 m
274 m
17) If Main Street is parallel to First Street, find the value of x.
17)
348 m
276 m
322 m
18) If Main Street is parallel to First Street, find the value of x.
383 m
207 m
229 m
18)
19) Determine the value of x.
46°
28°
19)
x
33°
82°
20) Find x.
20)
x
75°
69°
Find the missing length in the right triangle.
21)
8 cm
21)
20 cm
22)
22)
4 in.
10 in.
23) The hypotenuse of a right triangle is 96.4 in. and one leg is 55.0 in. Find the length of the
other leg.
23)
Solve the problem. Round your result to an appropriate number of significant digits.
24) A lake lies between A and C, and lines AB and DE run north-south. If AB = 7.1 mi,
24)
DE = 1.3 mi, and DC = 1.7 mi, how far is it from A to C?
7.1 mi
1.7 mi
1.3 mi
25) Mieko, who is 1.59 m tall, wishes to find the height of a tree. She walks 18.80 m from the
base of the tree along the shadow of the tree until her head is in a position where the tip of
her shadow exactly overlaps the end of the tree topʹs shadow. She is now 8.83 m from the
end of the shadows. How tall is the tree? Round to the nearest hundredth.
25)
26) In order to measure the distance across a pond (from A to B), Eva made the measurements
shown in the drawing. What is the distance?
A
C
54 yd
E
52°
42 yd
52°
145 yd
46 yd
D
B
26)
Find the perimeter.
27)
27)
8m
28)
2 cm
28)
5 cm
5 cm
2 cm
Find the area of the polygon.
29)
29)
13 cm
30)
30)
14 2 cm
31)
31)
8 in.
16 in.
32)
32)
9 cm
9 cm
33)
6 mi
33)
12 mi
30 mi
34)
20 m
9m
15 m
34)
Find the area of the circle. Use 3.14 for π.
35)
35)
25 ft
Find the requested measurement. Use π = 3.14.
36) Find the circumference.
36)
10 cm
37) Find the circumference.
37)
3.2 yd
38) Find the area of the circle.
38)
3.7 mi
39) Find the area.
24 mi
39)
40) Find the circumference.
40)
21 in.
Find the area of the circle. Use 3.14 for π.
41)
41)
9.5 in
Find the requested measurement. Use π = 3.14.
42) Find the circumference.
42)
31 mi
43) Find the circumference.
43)
1.75 mi
Find the area of the circle. Use 3.14 for π.
44)
12 mi
44)
Find the area.
45)
6 mi
45)
12 mi
30 mi
46)
9 ft
46)
8 ft
18 ft
47)
47)
5 cm
5 cm
Solve the problem.
48) The shape of a patio is trapezoidal with a height of 9 ft and bases of 16 ft and 10 ft. What is
the cost of outdoor carpeting to cover the patio if the carpeting costs $2.50 per ft 2?
48)
49) The shape of a barbecue pit is like a parallelogram with height of 36 in. and a base of 46 in.
It costs $0.20 per ft2 to fill the pit with charcoals. How much totally does it cost?
49)
50) Cindy wants to secure sequins on a piece of felt shaped like a trapezoid with a height of
8 cm and bases of 18 cm and 12 cm. What is the cost of all the sequins if sequins cost $0.80
per cm2 of coverage?
50)
Find the volume of the solid. Round your answer to 2 decimal places if necessary. Use π = 3.14 when necessary.
51)
51)
4 cm
4 cm
4 cm
52)
52)
6 cm
6 cm
6 cm
Find the volume.
53)
53)
24 in.
24 in.
24 in.
54)
54)
9.2 cm
6.3 cm
3.7 cm
Find the volume of the solid. Round your answer to 2 decimal places if necessary. Use π = 3.14 when necessary.
55)
55)
9 ft
9 ft
36 ft
56)
56)
5 ft
5 ft
20 ft
57)
57)
6 in.
18.75 in.
58)
58)
4 in.
12.5 in.
Find the volume.
59) Find the volume of the circular cylinder below. Use 3.14 for π.
3 in.
12 in.
59)
Find the volume of the solid. Round your answer to 2 decimal places if necessary. Use π = 3.14 when necessary.
60)
60)
6 cm
Find the volume.
61) Find the volume of the given sphere. Use 3.14 for π. Round your answer to the nearest
thousandth.
61)
diameter = 4.2 cm
62) A sphere with radius 4.5 cm. Use 3.14 for π. Round your answer to the nearest thousandth.
62)
Find the volume of the solid. Round your answer to 2 decimal places if necessary. Use π = 3.14 when necessary.
63)
63)
14 cm
Find the volume.
64) Find the volume of the circular cone pictured below. Use 3.14 for π. Round your answer to
the nearest whole number.
64)
51 m
21 m
65) Find the volume of the circular cone pictured below. Use 3.14 for π. Round your answer to
the nearest whole number.
65)
69 m
28 m
66) Find the volume of the circular cone pictured below. Use 3.14 for π. Round your answer to
the nearest whole number.
48 m
28 m
66)
67)
67)
18 m
11 m
68)
68)
12 m
8m
69)
69)
24 m
9m
Solve the problem. Use π= 3.14 when necessary.
70) A cylindrical jelly jar is 8 inches across the top and about 11 inches high. How many cubic
inches of jelly could it hold (to the nearest hundredth)?
70)
71) The foundation for a cylindrical fountain is a cylinder 24 in in diameter and 3 in high. How
many cubic in of concrete are needed to build the foundation (to the nearest hundredth)?
71)
72) A sphere has a 11 ft diameter. What is its volume to the nearest hundredth?
72)
73) Three people build a rectangular shed 6 ft wide, 4 ft long, and 5 ft high. About how many
ft3 does the shed contain?
73)
74) A certain marine engine has cylinders that are 3.71 inches in diameter and 5.14 inches
deep. Find the total volume of 4 cylinders (to the nearest hundredth).
74)
75) Find the volume of a rectangular pyramid with base 21 m 2 and height 2 m. Find the result
to the nearest unit.
75)
76) A cubical container measures 4 ft on each edge. What does it cost to fill the container at
$2.69 per cubic ft?
76)
77) At $4.80 per ft3 , how much will it cost to fill an aquarium with dimensions of
4
3
5 ft x 1 ft x 2 ft?
5
4
Solve the problem.
78) Suppose there are 4 roads connecting town A to town B and 5 roads connecting town B to
town C. In how many ways can a person travel from A to C via B?
77)
78)
79) How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if
repetitions of digits are allowed?
79)
80) How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions
are not allowed?
80)
81) How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions
are not allowed?
81)
82) How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if
repetitions of digits are allowed?
82)
83) How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions
are not allowed?
83)
84) License plates are made using 3 letters followed by 3 digits. How many plates can be
made if repetition of letters and digits is allowed?
84)
85) License plates are made using 3 letters followed by 3 digits. How many plates can be
made if repetition of letters and digits is allowed?
85)
86) At a lumber company that sold shelves, a customer could choose from 4 types of wood, 2
different widths and 4 different lengths. How many different types of shelves could be
ordered?
86)
87) How many different three-digit numbers can be written using digits from the set {5, 6, 7,
8, 9} without any repeating digits?
87)
88) A license plate is to consist of 2 letters followed by 4 digits. Determine the number of
different license plates possible if repetition of letters and numbers is not permitted.
88)
89) A license plate is to consist of 2 letters followed by 3 digits. Determine the number of
different license plates possible if repetition of letters and numbers is not permitted.
89)
90) A license plate is to consist of 3 letters followed by 4 digits. Determine the number of
different license plates possible if the first letter must be an N , M , or P and repetition of
letters and numbers is not permitted.
90)
91) A license plate is to consist of 3 letters followed by 3 digits. Determine the number of
different license plates possible if the first letter must be an N , M , or P and repetition of
letters and numbers is not permitted.
91)
Answer Key
Testname: MGF_1106_SPRING_11_EXAM_3_REVIEW
1) 55°
2) 66.7°
1
3) 137 °
2
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
125.9°
∠1 = 60°, ∠2 = 30°
∠1 = 150°, ∠2 = 30°
∠1 = 19.25°, ∠2 = 70.75°
∠1 = 31.8333333°, ∠2 = 148.166667°
∠1 = 18°, ∠2 = 162°
m∠2 = m∠4 = m∠6 = 44°, m∠1 = m∠3 = m∠5 = m∠7 = 136°
m∠2 = m∠4 = m∠8 = 127° , m∠1 = m∠3 = m∠5 = m∠7 = 53°
m∠BCD = 59°, m∠ABE = m∠FCD = 121°
98°
27°
120°
391 m
298 m
346 m
73°
36°
18 cm
11 in.
79.2 in.
9.3 mi
4.98 m
110 yd
32 m
14 cm
29) 169 cm 2
30) 196 cm 2
31) 128 in.2
32) 81 cm 2
33) 216 mi2
34) 157.5 m 2
35) 490.625 ft 2
36) 62.80 cm
37) 10.048 yd
38) 10.74665 mi2
39) 452.16 mi2
40) 65.94 in.
41) 283.385 in2
42) 97.34 mi
43) 10.990 mi
44) 113.04 mi2
45) 216 mi2
46) 108 ft 2
47) 25 cm 2
Answer Key
Testname: MGF_1106_SPRING_11_EXAM_3_REVIEW
48) $292.50
49) $2.30
50) $96.00
51) 64 cm 3
52) 216 cm 3
53) 13,824 in.3
54) 214.452 cm 3
55) 2916 ft3
56) 500 ft 3
57) 529.88 in.3
58) 157.00 in.3
59) 339.12 in.3
60) 113.04 cm 3
61) 38.773 cm 3
62) 381.51 cm 3
63) 1436.03 cm 3
64) 23,541 m 3
65) 56,620 m 3
66) 39,388 m 3
67) 2458.62 m 3
68) 753.6 m 3
69) 4973.76 m 3
70) 552.64 in3
71) 1356.48 in3
72) 696.56 ft3
73) 120 ft3
74) 222.15 inches3
75) 14 m 3
76)
77)
78)
79)
80)
81)
82)
83)
84)
85)
86)
87)
88)
89)
90)
91)
$172.16
$118.80
20 ways
100,000 five-digit numbers
2520 five-digit numbers
2520 five-digit numbers
1,000,000 six-digit numbers
840 four-digit numbers
17,576,000 plates
17,576,000 plates
32 types
60 three-digit numbers
3,276,000
468,000
9,072,000
1,296,000
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