Unit 3 Practice Exam

Unit #3 Practice Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the number is abundant or deficient.
1) 8
A) Deficient B) Abundant
1)
2) 34
A) Abundant B) Deficient
2)
Find the mixed number or rational fraction in simplest terms represented by the repeating decimal.
3) 0.1
A) 1 9
B)
10
999
C)
1
99
D) 10
99
3)
4) 0.814
A) 74
9
B) 220
27
C) 740
9
D) 22
27
4)
Use the least common multiple or greatest common factor to solve the problem.
5) Mark has 153 hot dogs and 261 hot dog buns. He wants to put the same number of hot dogs and
hot dog buns on each tray. What is the greatest number of trays Mark can use to accomplish
this
A) 9 B) 3 C) 493 D) 51
5)
6) Planets A, B, and C orbit a certain star once every 3, 7, and 18 months, respectively. If the three
planets are now in the same straight line, what is the smallest number of months that must
pass before they line up again
A) 28 months B) 378 months C) 126 months D) 54 months
6)
7) A brick layer is hired to build three walls of equal length. He has bricks which are 9 inches, 27
inches, and 21 inches long. He plans to build one wall out of each type of brick. What is the
shortest length of wall possible
A) 189 inches B) 5103 inches C) 567 inches D) 57 inches
7)
Write the fraction that represents the shaded area.
8)
8)
A) 3 4
B) 7 8
C) 7 4
D) 1 7
1

9)
9)
A) 1 5
B) 5 1
C) 5 6
D) 5 3
Decide whether or not the first number is divisible by the second.
10) 186,096; 4
A) No B) Yes
10)
11) 527,417; 9
A) Yes B) No
11)
12) 848,394; 3
A) No B) Yes
12)
Provide the appropriate response.
13) What is the greatest prime number you must consider to test whether 5141 is prime
A) 101 B) 97 C) 47 D) 71
13)
14) Find the least positive number divisible by two primes.
A) 2 B) 4 C) 6 D) 3
14)
Find the GCF of the numbers using an appropriate method.
15) 144 and 216
A) 432 B) 6 C) 72 D) 24
15)
16) 44 and 567
A) 22 B) 77 C) 1 D) 6
16)
Find the requested fraction.
17) An equivalent fraction to the fraction 4 11
would be:
17)
A) 35
84
B) 32
99
C) 24
72
D) 28
77
18) An equivalent fraction to the fraction - 6
would be:
54
18)
A) - 7
72
B) - 12
60
C) - 5
45
D) - 1
10
2

Write the decimal in the form indicated.
19) 9.003812; expanded exponential form
A) 9 · 100 + 0 · 10-1 + 0 · 10-2 + 3 · 10-3
+ 8 · 10-4 + 1 · 10-5 + 2 · 10-6
C) 9 · 100 + 0 · 101 + 0 · 102 + 3 · 103
+ 8 · 104 + 1 · 105 + 2 · 106
B) 9 · 100 + 3 · 10-1 + 8 · 10-2 + 1 · 10-3
+ 2 · 10-4
D) 9 · 101 + 0 · 100 + 0 · 10-1 + 3 · 10-2
+ 8 · 10-3 + 1 · 10-4 + 2 · 10-5
19)
Write the number in scientific notation.
20) 0.000209
A) 2.09 × 10 - 4 B) 2.09 × 10 - 3 C) 2.09 × 10 - 5 D) 2.09 × 104
21) 5,961,000,000
A) 5.961 × 109 B) 5.961 × 106 C) 5961 × 10 - 6 D) 596.1 × 107
20)
21)
Use the figures to answer the question.
22) What fraction of figure 4 is shaded
A) 1 3
B) 2 5
C)
2
10
D) 4 5
22)
23) What fraction of figure 9 is shaded
23)
A) 1 2
B) 1 3
C) 2 3
D) 1 4
24) Name the figure which is a fraction strip depicting 3 10 .
24)
A) Figure 5 B) Figure 10
C) Figure 11 D) None of the above
Decide whether or not the first number is divisible by the second.
25) 23,256; 6
A) Yes B) No
25)
3

26) 384,944; 7
A) Yes B) No
26)
27) 22,219; 2
A) Yes B) No
27)
28) 81,404,159; 11
A) No B) Yes
28)
Write the numbers in order of increasing size.
29) 0.5866, 0.586, 0.58666, 0.586
A) 0.586, 0.58666, 0.5866, 0.586 B) 0.586, 0.5866, 0.58666, 0.586
C) 0.586, 0.586, 0.5866, 0.58666 D) 0.586, 0.586, 0.5866, 0.58666
29)
30) 2.25, 2 5 8 , 2.52, 2 4 9
30)
A) 2 5 8 , 2.52, 2 4 9 , 2.25 B) 2 4 9 , 2 5 , 2.25, 2.52
8
C) 2.25, 2.52, 2 4 9 , 2 5 8
D) 2.25, 2 4 9 , 2.52, 2 5 8
Find all the factors of the number.
31) 45
A) 1, 2, 3, 5, 9, 15, 30, 45 B) 1, 3, 5, 9, 15, 45
C) 1, 3, 5, 9, 15, 30, 45 D) 1, 3, 5, 15, 45
31)
Convert to standard notation.
32) 4.296 × 10-5
A) -429,600 B) 0.0004296 C) 0.000004296 D) 0.00004296
32)
33) 7.53 × 103
A) 75,300 B) 7530 C) 225.9 D) 753
33)
Find the prime factorization of the number, and write it in exponent form.
34) 25,760,268
A) 22 × 34 × 433 B) 26 × 3483 C) 2 × 3 × 79,507 D) 38 × 1849
34)
Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
35) 3 4 , 10
13 , 8 11
A)
8
11 , 3 4 , 10
13
B) 3 4 , 8 11 , 10
13
C) 10
13 , 8 11 , 3 4
35)
36) 4 15 , 5 16
36)
A)
4
15 , 5 16
B)
5
16 , 4 15
C) Equivalent
4

Solve the problem.
37) For lunch, Jamie bought a 8-inch submarine sandwich. What fraction of a foot was Jamie's 37)
sandwich (1 foot = 12 inches)
7
A)
12 ft B) 2 3 ft C) 5 6 ft D) 5
12 ft
38) Julia preheated her oven for 19 minutes. What fraction of an hour was this (1 hour = 60 min) 38)
7
A)
20 hr B) 2 19
hr C)
5 60 hr D) 3
10 hr
Write the fraction as a terminating decimal.
39) 29
40
A) 0.685 B) 0.725 C) 0.625 D) 0.735
39)
Determine whether the statement is true or false.
40) If a natural number is divisible by 5 and 2, then it must also be divisible by 10.
A) True B) False
40)
41) Zero is a multiple of every number.
A) True B) False
41)
42) If n is a natural number and 4 | n, then 8 | n.
A) True B) False
42)
Find the least common multiple for the numbers.
43) 27, 63
A) 63 B) 21 C) 1701 D) 189
43)
Identify the number as either prime or composite.
44) 113
A) Composite B) Prime
44)
45) 66
A) Composite B) Prime
45)
Find the LCM for the given numbers by an appropriate method.
46) 24, 54, and 27
A) 54 B) 72 C) 216 D) 108
46)
Write the decimal as a fraction in simplest terms.
47) 0.844
1
A)
B) 211
844
500
C) 211
250
D) 211
125
47)
Find all values of the missing digit that make the statement true.
48) 4,3_1 is divisible by 3.
A) 3, 6, 9 B) 4, 6, 7, 8 C) 1, 4, 7 D) 1, 4, 7, 8
48)
5

49) 214,21_ is divisible by 11.
A) 4 B) 3 C) 6 D) 2
49)
Find the GCF of the numbers.
50) 120, 1000, 2250
A) 50 B) 30 C) 20 D) 10
50)
6

Answer Key
Testname: UNIT-3-PRACTICE-EXAM
1) A
Objective: (4.1) Determine Whether Number is
Abundant or Deficient
2) B
Objective: (4.1) Determine Whether Number is
Abundant or Deficient
3) A
Objective: (6.5) Convert Repeating Decimal to Fraction
4) D
Objective: (6.5) Convert Repeating Decimal to Fraction
5) A
Objective: (4.2) Solve Apps: GCF and LCM
6) C
Objective: (4.2) Solve Apps: GCF and LCM
7) A
Objective: (4.2) Solve Apps: GCF and LCM
8) C
Objective: (6.1) Recognize Fraction from Model
9) D
Objective: (6.1) Recognize Fraction from Model
10) B
Objective: (4.1) Determine Divisibility II (Y/N)
11) B
Objective: (4.1) Determine Divisibility II (Y/N)
12) B
Objective: (4.1) Determine Divisibility II (Y/N)
13) D
Objective: (4.2) Know Concepts: Prime Numbers and
Divisibility
14) C
Objective: (4.2) Know Concepts: Prime Numbers and
Divisibility
15) C
Objective: (4.2) Find GCF by Appropriate Method
16) C
Objective: (4.2) Find GCF by Appropriate Method
17) D
Objective: (6.1) Identify Equivalent Fractions
18) C
Objective: (6.1) Identify Equivalent Fractions
19) A
Objective: (6.1) Use Decimal and Expanded Notation
20) A
Objective: (6.1) Write Number in Scientific Notation
21) A
Objective: (6.1) Write Number in Scientific Notation
22) B
Objective: (6.1) Use Model to Depict Formula
7
23) C
Objective: (6.1) Use Model to Depict Formula
24) D
Objective: (6.1) Use Model to Depict Formula
25) A
Objective: (4.1) Determine Divisibility I (Y/N)
26) A
Objective: (4.1) Determine Divisibility I (Y/N)
27) B
Objective: (4.1) Determine Divisibility I (Y/N)
28) A
Objective: (4.1) Determine Divisibility I (Y/N)
29) B
Objective: (6.5) Order Decimals and Fractions
30) D
Objective: (6.5) Order Decimals and Fractions
31) B
Objective: (4.1) List All Factors of a Number
32) D
Objective: (6.5) Convert Scientific Notation to Standard
Notation
33) B
Objective: (6.5) Convert Scientific Notation to Standard
Notation
34) A
Objective: (4.2) Find Prime Factorization of Number
35) A
Objective: (6.5) Order Rational Numbers
36) A
Objective: (6.5) Order Rational Numbers
37) B
Objective: (6.1) Solve Apps: Rational Numbers
38) C
Objective: (6.1) Solve Apps: Rational Numbers
39) B
Objective: (6.1) Convert Fraction to Terminating
Decimal
40) A
Objective: (4.1) Know Concepts: Factors and Divisibility
41) A
Objective: (4.1) Know Concepts: Factors and Divisibility
42) B
Objective: (4.1) Know Concepts: Factors and Divisibility
43) D
Objective: (4.2) Find LCM by Intersection of Sets
Method

Answer Key
Testname: UNIT-3-PRACTICE-EXAM
44) B
Objective: (4.2) Identify Number as Prime or
Composite
45) A
Objective: (4.2) Identify Number as Prime or
Composite
46) C
Objective: (4.2) Find LCM by Appropriate Method
47) C
Objective: (6.1) Convert Decimal to Fraction
48) C
Objective: (4.1) Determine Missing Digit for Divisibility
49) A
Objective: (4.1) Determine Missing Digit for Divisibility
50) D
Objective: (4.2) Find GCF by Intersection of Sets
Method
8