## ASVAB-Mathematics-Knowledge exam Format | Course Contents | Course Outline | exam Syllabus | exam Objectives

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ASVAB-Mathematics-Knowledge

ASVAB Section 6 : Mathematics Knowledge

https://killexams.com/pass4sure/exam-detail/ASVAB-Mathematics-Knowledge

Question: 223

Whats 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, its 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. 27

C. 212

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

Whats 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, whats 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

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