Math 10: Practice Exam Questions, Numeration Systems, Chapter 7 & 2
Write the Roman numeral as a Hindu-Arabic numeral.
1) XLVI
A) 46
B) 154
2) MMDCLXVI
A) 2,666
B) 2,565
C) 54
D) 165
C) 2,566
D) 2,656
Solve the problem.
3) After watching a DVD from the local rental store you decide to sit through the credits. You notice the
copyright date expressed as MCMLXXXVI. When was the movie made?
A) 1934
B) 1984
C) 1936
D) 1986
Write the traditional Chinese numeral as a Hindu-Arabic numeral.
4)
A) 417
B) 413
C) 437
1)
2)
3)
4)
D) 4137
5)
5)
A) 2367
B) 261,637
Write the Ionic Greek numeral as a Hindu-Arabic numeral.
6) πδ
A) 49
B) 89
7) φξβ
A) 562
B) 672
C) 21,637
D) 2637
C) 44
D) 84
C) 572
D) 762
Give the prime factorization of the number. Use exponents when possible.
8) 70
A) 10 ∙ 7
B) 52 ∙ 2
C) 2 ∙ 5 ∙ 7
1
D) 22 ∙ 7
6)
7)
8)
9) 198
A) 22 ∙ 32 ∙ 11
B) 22 ∙ 32
C) 2 ∙ 3 ∙ 11
Determine whether the number is abundant or deficient.
10) 34
A) Abundant
11) 18
9)
D) 2 ∙ 32 ∙ 11
10)
B) Deficient
A) Abundant
11)
B) Deficient
Solve the problem.
12) List all the abundant numbers between 20 and 30 (inclusive)
Solve the problem relating to the Fibonacci sequence.
13) F 25 = 75,025, F 26 = 121,393
Find F 27.
A) F 27 = 242,786
B) F 27 = 196,418
12)
13)
C) F 27 = 46,368
14) F 28 = 317,811, F 30 = 832,040
Find F 29.
A) F 29 = 1,346,269
C) F 29 = 1,149,851
D) F 27 = 167,761
14)
B) F 29 = 196,418
D) F 29 = 514,229
15) If an 8-inch wide rectangle is to approach the golden ratio, what should its length be?
A) 5 in
B) 13 in
C) 10 in
D) 12 in
Decide whether ⊆, ⊂, both, or neither can be placed in the blank to make a true statement.
16) {11, 12, 13}
{10, 11, 12, 13}
A) ⊆
B) Neither
C) ⊂
D) Both ⊂ and ⊆
17) {s, r, t}
A) ⊆
{s, r, t}
B) Neither
C) Both ⊆ and ⊂
D) ⊂
Use ⊆ or ⊈ in the blank to make a true statement.
18) {6, 8, 10}
{5, 6, 7, 8, 10}
A) ⊈
B) ⊆
Find the number of subsets of the set.
19) {6, 7, 8}
A) 8
B) 3
C) 7
D) 6
B) 2
C) 0
D) 1
20) {0}
A) 4
16)
17)
18)
Let U = {1, 2, 4, 5, a, b, c, d, e}. Use the roster method to write the complement of the set.
21) T = {2, 4, b, d}
A) {1, 5, a, c, e}
B) {1, 3, 5, a, c, e}
C) {1, 2, 4, 5, a, b, c, d, e}
D) {1, 5, a, e}
Let U = {21, 22, 23, ..., 40}, A = {21, 22, 23, 24, 25}, B = {26, 27, 28, 29}, C = {21, 23, 25, 27, ..., 39}, and
D = {22, 24, 26, 28, ..., 40}. Use the roster method to write the following set.
22) A'
A) A' = {27, 29, 31, . . . , 39}
B) A' = {26, 27, 28, . . . , 40}
C) A' = {26, 28, 30, . . . , 40}
D) A' = {21, 22, 23, . . . , 40}
2
15)
19)
20)
21)
22)
Let U = {21, 22, 23, 24, ...}, A = {21, 22, 23, 24, ..., 40}, B = {21, 22, 23, 24, ..., 50}, C = {22, 24, 26, 28, ...}, and
D = {21, 23, 25, 27, ...}. Use the roster method to write the following set.
23) C'
A) C' = {21, 23, 25, 27, ...}
B) C' = {21, 22, 23, 24, ...}
C) C' = {22, 24, 26, 28, ...}
D) C' = {21, 23, 25, 27, ..., 39}
Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}. List the elements in the set.
24) A ∩ B'
A) {t, v, x}
C) {u, w}
23)
24)
B) {r, s, t, u, v, w, x, z}
D) {q, s, t, u, v, w, x, y}
25) C' ∩ A'
A) {q, r, s, t, u, v, x, z}
C) {w, y}
B) {q, s, u, v, w, x, y, z}
D) {r, t}
25)
26) B ∪ C
A) {q, r, s, t, u, v, w, x, y, z}
C) {q, s, u, w, y}
B) {v, w, x, y, z}
D) {q, s, v, w, x, y, z}
27) A' ∪ B
A) {r, s, t, u, v, w, x, z}
C) {q, s, t, u, v, w, x, y}
B) {q, r, s, t, v, x, y, z}
D) {s, u, w}
26)
27)
3
Answer Key
Testname: EXAM_PRACTICE_CHAPTER7&2
1) A
2) A
3) D
4) C
5) D
6) D
7) A
8) C
9) D
10) B
11) A
12) 20, 24, 30
13) B
14) D
15) B
16) D
17) A
18) B
19) A
20) B
21) A
22) B
23) A
24) C
25) D
26) D
27) B
4