Review Question, Test 3
MULTIPLE CHOICE. Circle the letter corresponding to the correct answer. Partial credit may be earned if correct work is
shown.
Give the symbol that represents the portion of the line named and draw a figure showing just the portion named.
1)
Line segment QR
A)
C)
B)
QR
QR
D) QR
QR
2)
Ray QP
A)
QP
Find the requested angle.
3) Supplement of 55°
A) 35°
B)
C)
QP
QP
D)
PQ
B) 125°
C) 110°
D) 305°
B) 60° and 120°
C) 68° and 112°
D) 59° and 121°
Find the measure of the angles.
4)
∠A = (2x + 1)°, ∠B = (4x + 5)°
A) 55° and 125°
Use the properties of parallel lines to solve the problem.
5) If p  q and m∠8 = 49°, what are the measures of the other angles?
A) m∠5 = m∠6 = m∠7 = 49° , m∠1 = m∠2 = m∠3 = m∠4 = 131°
B) m∠2 = m∠4 = m∠6 = 49° , m∠1 = m∠3 = m∠5 = m∠7 = 141°
C) m∠2 = m∠4 = m∠6 = 49° , m∠1 = m∠3 = m∠5 = m∠7 = 41°
D) m∠2 = m∠4 = m∠6 = 49°, m∠1 = m∠3 = m∠5 = m∠7 = 131°
1
Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.
6)
A) Obtuse, isosceles
B) Obtuse, equilateral
C) Acute, equilateral
D) Acute, scalene
A) Obtuse, scalene
B) Obtuse, equilateral
C) Acute, isosceles
D) Acute, scalene
C) ∠A = ∠C = 30°
D) ∠A = ∠C = 85°
C) 135°
D) 160°
C) 360 in. 2
D) 18,000 in. 2
7)
Find the measure of each unknown angle in triangle ABC.
8)
∠A = x°, ∠B = 30°, ∠C = x°
A) ∠A = ∠C = 75°
B) ∠A = ∠C = 67°
Solve the problem.
9) Find the measure of the indicated exterior angle.
∠x = (4n - 19)°, ∠y = (n + 9)°, ∠z = (166 - 6n)°
A) 84°
B) 70°
Find the area.
10)
a = 90 in., b = 100 in.
A) 190 in.2
B) 9000 in. 2
2
11)
5 in.
10 in.
(a parallelogram)
A) 15 in2
B) 100 in2
C) 25 in2
D) 50 in2
B) 126 ft2
C) 49 ft2
D) 27 ft2
B) 220.5 cm2
C) 294 cm2
D) 273 cm2
12)
7 ft
6 ft
14 ft
(a trapezoid)
A) 63 ft2
13)
26 cm
21 cm
28 cm
A) 588 cm2
Find the area of the circle. Use 3.14 for π. Round results to two decimal places in necessary
14)
7 in.
A) 153.86 in.2
B) 87.92 in.2
C) 615.44 in. 2
D) 43.96 in. 2
Solve the problem. Use 3.14 for π.
15) A wicker basket has a circular rim with a diameter of 11 inches. How many inches of ribbon are needed to go
once around the rim? Round results to the nearest tenth of a unit.
A) 34.5 in.
B) 32.5 in.
C) 121.0 in.
D) 69.1 in.
3
Give the measure of the missing angle using the similar triangles below.
16) ∠E
△ABC ~ △DEF, ∠B = 59°, EF = 7 cm
A) 7 cm
B) 59°
C) 31°
D) 90°
The two triangles below are similar. Find the unknown side lengths.
17)
6
8
4
3
5
A) x = 15
B) x = 5
C) x = 11
D) x = 10
Solve the problem.
18) A triangle drawn on a map has sides of lengths 7.0 cm, 10 cm, and 14 cm. The shortest of the corresponding
real-life distances is 124 km. Find the longest of the real-life distances. Round to the nearest unit.
A) 62 km
B) 177 km
C) 248 km
D) 174 km
a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown
side.
19)
a = 36
c
b = 48
A) c = 42
B) c = 32
C) c = 59
D) c = 60
B) 3375 yd3
C) 225 yd3
D) 45 yd3
Find the volume.
20)
15 yd
15 yd
15 yd
A) 450 yd3
4
21) A sphere with radius 4.0 in.. Use 3.14 for π. Round your answer to the nearest thousandth.
A) 2143.573 in. 3
B) 66.987 in. 3
C) 150.72 in. 3
D) 267.947 in.3
22) Find the volume of the circular cylinder below. Use 3.14 for π.
4 cm
19 cm
A) 954.56 cm3
B) 238.64 cm3
C) 477.28 cm3
D) 3818.24 cm3
C) 70 ft2
D) 62 ft2
Find the total surface area of the given space figure.
23)
a = 2 ft, b = 5 ft, c = 3 ft
A) 47 ft2
B) 31 ft2
Find the surface area of the circular solid. Unless otherwise specified, use 3.14 for π and round your answer to the nearest
tenth.
24) A right circular cylinder with r = 4 cm, h = 5 cm
A) 163.3 cm2
B) 226.1 cm2
C) 251.2 cm2
5
D) 113.0 cm2
Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric} or G = {A, B, C, D, E}, list and count the different
ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than
one office.
25) Three representatives, if two must be male and one must be female
A) ACB, ACD, AEB, AED, CEB, CED, DEC, BEC, DEA, BEA, DCA, BCA; 12
B) ACB, ACD, AEB, AED, CEB, CED; 6
C) ACB, ACD, AEB, AED; 4
D) ABC, CDE; 2
Using the 36 possibilities found in the product table for rolling two dice, list and count the outcomes for which the sum
(for both dice) is the following.
26) Equal to 8
A) (2,6), (3,5), (4,4), (4,4), (5,3), (6,2); 6
B) (2,6), (3,5); 2
C) (2,6), (3,5), (4,4), (5,3), (6,2); 5
D) (2,6), (3,5), (4,4); 3
Solve the problem.
27) Construct a product table showing all possible two-digit numbers using digits from the set {1, 2, 6, 7}.
A)
B)
1
2
6
7
1
11
21
61
71
2
12
22
62
72
6
16
26
66
76
7
17
27
67
77
C)
1
2
6
7
1
2
3
7
8
2
3
4
8
9
6
7
8
12
13
7
8
9
13
14
D)
1 2
6 61 62
7 71 72
1
2
6
7
1
11
12
16
17
2
21
22
26
27
6
61
62
66
67
7
71
72
71
77
Use a tree diagram showing all possible results when a die is rolled twice. List the ways of getting the following result.
28) The second die shows a 3.
A) (1,3),(2,3),(4,3),(5,3),(6,3)
B) (1,3),(3,3),(5,3)
C) (3,3)
D) (1,3),(2,3),(3,3),(4,3),(5,3),(6,3)
Use a tree diagram showing all possible results when four fair coins are tossed. Then list the ways of getting the indicated
result.
29) exactly two tails
A) hhtt, htht, htth, thth, tthh
B) hhtt, htht, htth, thht, thth, tthh, ttht
C) hhtt, htht, htth, thht, thth, tthh
D) tthh
Evaluate the factorial expression.
30) 7!
A) 2520
B) 10,080
C) 720
D) 5040
Solve the problem.
31) At a lumber company, shelves are sold in 3 types of wood, 3 different widths and 5 different lengths. How
many different types of shelves could be ordered?
A) 45
B) 30
C) 11
D) 27
32) A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many
ways can he arrange his program?
A) 59,049
B) 15,120
C) 45
D) 126
6
33) Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. In how many
ways can they arrange themselves if there are no restrictions on the seating arrangement?
A) 16,777,216
B) 8
C) 5040
D) 40, 320
Evaluate the permutation.
34) 8 P4
A) 1
B) 8
C) 1680
D) 336
B) 1680
C) 70
D) 48
Evaluate the expression.
35) 8 C4
A) 840
Solve the problem.
36) There are 13 members on a board of directors. If they must form a subcommittee of 4 members, how many
different subcommittees are possible?
A) 715
B) 17,160
C) 24
D) 28,561
Give the probability that the spinner shown would land on the indicated color.
37) black
A)
1
2
B)
1
6
C)
1
3
D)
2
3
Find the probability.
38) A bag contains 9 red marbles, 8 blue marbles, and 6 green marbles. What is the probability that a randomly
selected marble is blue?
8
6
8
9
A)
B)
C)
D)
17
23
23
23
Solve the problem.
39) The table shows the number of college students who prefer a given pizza topping.
toppings freshman sophomore
cheese
10
13
meat
20
19
veggie
13
10
junior
21
13
20
senior
19
10
19
Find the empirical probability that a randomly selected student prefers cheese toppings.
A) 0.337
B) 0.332
C) 0.302
D) 0.102
7
40) The Gray Stone Rock Band will give 10 performances this season. Four of these will be only songs from the 70s.
If Tony gets to pick two tickets at random, what is the probability that he will get both 70s tickets?
2
1
2
2
A)
B)
C)
D)
5
2
45
15
Find the probability.
41) A fair die is rolled. What is the probability of rolling a 3 or a 5?
1
1
A)
B) 2
C)
3
6
D)
1
36
Find the indicated probability.
42) The age distribution of students at a community college is given below.
Age (years)
Under 21
21-25
26-30
31-35
Over 35
Number of students (f)
401
400
213
55
24
1093
A student from the community college is selected at random. Find the probability that the student is between 26
and 35 inclusive. Round approximations to three decimal places.
A) 0.195
B) 0.245
C) 268
D) 0.050
43) A bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a marble is selected at random, what is the
probability that it is not blue?
2
5
3
A)
B) 6
C)
D)
5
3
5
8
Answer Key
Testname: REVIEW FOR TEST 3
1) C
2) B
3) B
4) D
5) D
6) C
7) C
8) A
9) B
10) B
11) D
12) A
13) C
14) A
15) A
16) B
17) D
18) C
19) D
20) B
21) D
22) A
23) D
24) B
25) B
26) C
27) A
28) D
29) C
30) D
31) A
32) B
33) D
34) C
35) C
36) A
37) C
38) C
39) A
40) D
41) A
42) B
43) D
9