ASVAB Math Knowledge Practice Test 881471 Results

Your Results Global Average
Questions 5 5
Correct 0 3.70
Score 0% 74%

Review

1

The dimensions of this cube are height (h) = 6, length (l) = 4, and width (w) = 1. What is the volume?

83% Answer Correctly
24
175
3
256

Solution

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

v = h x l x w
v = 6 x 4 x 1
v = 24


2

On this circle, line segment AB is the:

71% Answer Correctly

diameter

chord

radius

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

Solve for z:
z2 + 14z + 48 = 0

59% Answer Correctly
-5 or -9
4 or -1
4 or -4
-6 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 + 14z + 48 = 0
(z + 6)(z + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 6) or (z + 8) must equal zero:

If (z + 6) = 0, z must equal -6
If (z + 8) = 0, z must equal -8

So the solution is that z = -6 or -8


4

The formula for the area of a circle is which of the following?

78% Answer Correctly

a = π d

a = π r

a = π r2

a = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

What is 9a - 6a?

80% Answer Correctly
15a2
15
3a
54a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a - 6a = 3a