ASVAB Math Knowledge Practice Test 724224 Results

Your Results Global Average
Questions 5 5
Correct 0 3.02
Score 0% 60%

Review

1

The dimensions of this cube are height (h) = 3, length (l) = 1, and width (w) = 5. What is the surface area?

51% Answer Correctly
118
126
46
30

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 5) + (2 x 5 x 3) + (2 x 1 x 3)
sa = (10) + (30) + (6)
sa = 46


2

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

radius

diameter

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

normalizing

squaring

deconstructing

factoring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

Solve for y:
y + 8 = \( \frac{y}{-4} \)

46% Answer Correctly
-2\(\frac{1}{2}\)
\(\frac{36}{41}\)
2\(\frac{2}{23}\)
-6\(\frac{2}{5}\)

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 equal sign and the answer on the other.

y + 8 = \( \frac{y}{-4} \)
-4 x (y + 8) = y
(-4 x y) + (-4 x 8) = y
-4y - 32 = y
-4y - 32 - y = 0
-4y - y = 32
-5y = 32
y = \( \frac{32}{-5} \)
y = -6\(\frac{2}{5}\)


5

The dimensions of this cube are height (h) = 7, length (l) = 5, and width (w) = 5. What is the volume?

83% Answer Correctly
63
175
72
6

Solution

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

v = h x l x w
v = 7 x 5 x 5
v = 175