Free Printable ASVAB Mathematics Knowledge

1.

What is 0.3172 rounded to the nearest tenth?

a)

0.3

b)

0.32

c)

0.317

d)

0.3172

2.

What is another way to write 4³

a)

36

b)

48

c)

56

d)

64

3.

12(82 - 3) - (2 x 81)

a)

382

b)

786

c)

851

d)

1,137

4.

What is 12% of 10²

a)

1.2

b)

12

c)

24

d)

120

5.

What is 50% of 78?

a)

24

b)

29

c)

39

d)

44

6.

If 5x = 30, then x is equal to:

a)

150

b)

25

c)

6

d)

0.6

7.

A rectangle has a width of 7 cm and a length of 9 cm. What is its perimeter?

a)

16 cm

b)

32 cm

c)

48 cm

d)

62 cm

8.

In the following inequality, solve for q.
$-3q\ +\ 12\ \ge\ 4q\ -\ 30$

a)

$q\ \ge\ 6$

b)

$q\ =\ 6$

c)

$q\ne\ 6$

d)

$q\ \le\ 6$

9.

If x - 6 = 0, then x is equal to

a)

0

b)

3

c)

6

d)

9

10.

In the following inequality, solve for q.
$-3q\ +\ 12\ \ge\ 4q\ -\ 30$

a)

$q\ \ge\ 6$

b)

$q\ =\ 6$

c)

$q\ne\ 6$

d)

$q\ \le\ 6$

11.

If x = -3, calculate the value of the following expression:
$3x^3+\left(3x+4\right)-2x^2$

a)

-104

b)

-58

c)

58

d)

104

12.

If $x^2-5\ =\ 20$ , what is the value of x?

a)

5

b)

10

c)

12.5

d)

15

13.

If x = 4 and y = 2, what is the value of the following expression:
$3xy\ -\ 12y\ +\ 5x$

a)

-4

b)

10

c)

12

d)

20

14.

Simplify the following:
$\left(3x+5\right)\left(4x-6\right)$

a)

$12x^2-38x-30$

b)

$12x^2+2x-30$

c)

$12x^2-2x-1$

d)

$12x^2+2x+30$

15.

Simplify the following expression:
$\frac{50x^{18}t^6w^3z^{20}}{5x^5t^2w^2z^{19}}$

a)

$10x^{13}t^3wz$

b)

$10x^{13}t^4wz$

c)

$10x^{12}t^4wz$

d)

$10x^{13}t^4wz^2$

16.

Simplify the following expression: $\left(3x^2\times7x^7\right)+\left(2y^3\times9y^{12}\right)$

a)

$21x^{14}+18y^{26}$

b)

$10x^9+11y^{15}$

c)

$21x^{14}+18y^{15}$

d)

$21x^9+18y^{15}$

17.

If $\frac{x}{3}+\ 27\ =\ 30$ , what is the value of x?

a)

3

b)

6

c)

9

d)

12

18.

In a lottery game, there are 2 winners for every 100 tickets sold. If a man buys 10 tickets, what are the chances that he is a winner?

a)

1 in 2

b)

1 in 5

c)

2 in 5

d)

2 in 2

19.

If $5x\ +\ 60\ =\ 75$ , what is the value of x?

a)

3

b)

4

c)

5

d)

6

20.

Simplify: 8x² - 3x + 4xy - 9x² - 5x - 20xy

a)

5x² + 9xy

b)

8x - 9x²

c)

-x² - 8x - 16xy

d)

8x + 9x²

21.

evaluate 3x², if x = -2

a)

12

b)

-12

c)

6

d)

-6

22.

A baker has x pounds of sugar to use in baking. After she uses 50 pounds to make donuts, how much sugar does she have left?

a)

x + 50

b)

50 - x

c)

x - 50

d)

50 / x

23.

Simplify: (3x⁷y⁵)²

a)

9x⁷y⁵

b)

9x⁹y7

c)

9x⁷y¹⁰

d)

9x¹⁴y¹⁰

24.

Solve: -4x + 6 ≥ 10

a)

x ≥ -1

b)

x ≥ 1

c)

x ≤ -1

d)

4x ≤ 1

25.

(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

26.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

27.

(4x + 7)(3x + 5)

a)

12x + 41 + 35

b)

12x² + 20x + 35

c)

12x² + 41x + 35

d)

12x + 20 + 35

28.

Right, acute, or obtuse?

a)

Acute

b)

Right

c)

Obtuse

29.

Solve for x:

3(x + 1) = 5(x − 2) + 7

a)

-2

b)

3

c)

1/2

d)

9x

30.

Simplify:

(7y2 + 3xy − 9) − (2y2 + 3xy − 5)

a)

5y2 − 4

b)

9y2 + 6xy − 14

c)

9y2 + 6xy − 14

d)

5y2 + 6xy − 14

ASVAB Mathematics Knowledge

Total questions: 30

Worksheet time: 32mins

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