ASVAB Math Knowledge Practice Test 725369 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 4. What is the volume?

83% Answer Correctly
63
378
192
4

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 8 x 6 x 4
v = 192


2

Simplify (y + 7)(y + 2)

63% Answer Correctly
y2 + 9y + 14
y2 - 5y - 14
y2 + 5y - 14
y2 - 9y + 14

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 7)(y + 2)
(y x y) + (y x 2) + (7 x y) + (7 x 2)
y2 + 2y + 7y + 14
y2 + 9y + 14


3

If angle a = 43° and angle b = 42° what is the length of angle d?

56% Answer Correctly
144°
137°
119°
133°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 43° - 42° = 95°

So, d° = 42° + 95° = 137°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 43° = 137°


4

Solve for a:
-6a + 2 > 8 + 9a

55% Answer Correctly
a > -\(\frac{2}{5}\)
a > \(\frac{4}{7}\)
a > \(\frac{3}{7}\)
a > -\(\frac{1}{4}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-6a + 2 > 8 + 9a
-6a > 8 + 9a - 2
-6a - 9a > 8 - 2
-15a > 6
a > \( \frac{6}{-15} \)
a > -\(\frac{2}{5}\)


5

A right angle measures:

90% Answer Correctly

45°

360°

90°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.