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ASVAB-Mathematics-Knowledge
ASVAB Section 6 : Mathematics Knowledge
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Question: 223
What�s the mode of the following series of numbers?
4, 4, 8, 8, 8, 10, 10, 12, 12
A. 9
B. 8
C. 11
D. 10
Answer: B
Explanation:
The mode of a series of numbers is the number that appears in the series the most frequently. In this case, it�s 8.
Question: 224
If a = 4, then a3 � a = __________.
A. 4
B. 12
C. 64
D. 16
Answer: D
Explanation:
(4 � 4 � 4) � 4 = 64 � 4 = 16
Question: 225
Which of the following is a prime number?
A. 27
B. 11
C. 8
D. 4
Answer: B
Explanation:
A prime number is a number that can be divided evenly by itself or by one, but not by any other number. Choices
27, 8 and 4 can all be divided evenly by other numbers.
Question: 226
(x + 4)(x + 2) =
__________.
A. x2 + 6x + 6
B. x2 + 8x + 8
C. x2 + 8x + 6
D. x2 + 6x + 8
Answer: D
Explanation:
Multiply the first variable in the first set of parentheses with the first variable in the second set of parentheses (x � x = x2).
Next, multiply the first variable in the first set of parentheses with the second number in the second set of parentheses (x � 2 = 2x). So far, the
results are x2+ 2x.
Now, multiply the second number in the first set of parentheses to the first variable in the second set of parentheses (4 � x = 4x).
Next, multiply the second variable in the first set of parentheses to the second number in the second set of parentheses (4 � 2 = 8). The solution is
x2+ 2x + 4x + 8. Combining the like terms results in x2+ 6x + 8.
Question: 227
1.5 � 103= __________.
A. 45
B. 150
C. 1,500
D. 15
Answer: C
Explanation:
1.5 � 103= 1.5 � (10 � 10 � 10) = 1.5 � 1,000 = 1,500.
Question: 228
(12 yards + 14 feet) � 5 =
__________.
A. 12 feet
B. 51/5 feet
C. 10 feet
D. 21/2 yards
Answer: C
Explanation:
Convert 12 yards and 14 feet to feet:
(12 yards � 3 feet per yard) + 14 feet = 36 feet + 14 feet = 50 feet. Divide by 5 as instructed: 50 feet � 5 = 10 feet.
Question: 229
x3 � x4 = __________.
A. x12
B. 2�7
C. 2�12
D. x7
Answer: D
Explanation:
If two powers have the same base, they can be multiplied by keeping the base and adding the powers together.
Question: 230
The fourth root of 16 is __________.
A. 4
B. 1
C. 3
D. 2
Answer: D
Explanation:
24 = 16; the fourth root of 16 is 2.
Question: 231
What�s the equation of a line that passes through points (0, � 1) and (2, 3)?
A. y = 2x � 1
B. y = 2x + 1
C. x = 2y � 1
D. x = 2y + 1
Answer: A
Explanation:
The slope of the line is equal to the change in y values divided by the change in x values. The change in y values is 4(3 � -1). The change in x
values is 2 (2 � 0). 4/2 = 2.
To find the intercept, substitute 0 for x in the equation y = 2x + b � 1 = 2(0) + b. Therefore, b = -1, so the equation is y = 2x � 1.
Question: 232
The cube of 5 is __________.
A. 125
B. 25
C. 15
D. 50
Answer: A
Explanation:
The cube of 5 = 5 � 5 � 5 = 125.
Question: 233
2.5 � 33 = __________.
A. 22.5
B. 75.0
C. 67.5
D. 675.0
Answer: C
Explanation:
2.5 � 33= 2.5 (3 � 3 � 3) = 2.5 � 27 = 67.50.
Question: 234
If x = 8, what�s the value of y in the equation: y = (x2 � 4) � 2?
A. 1
4
B. 1
6
C. 1
8
D. 2
0
Answer: A
Explanation: y = (x2 � 4)
� 2 y = (82 � 4) � 2 y = (64
� 4) � 2 y = 16 � 2 = 14
/( 48(67,216

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