ASVAB Math Knowledge Practice Test 338498 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

h x l x w

h2 x l2 x w2

lw x wh + lh

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


2

Simplify 9a x 7b.

86% Answer Correctly
63\( \frac{a}{b} \)
63ab
63\( \frac{b}{a} \)
63a2b2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

9a x 7b = (9 x 7) (a x b) = 63ab


3

What is the area of a circle with a diameter of 4?

70% Answer Correctly
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π


4

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

46% Answer Correctly

circumference

radius

diameter

chord


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).


5

Solve for z:
z2 - 8z + 12 = 0

58% Answer Correctly
8 or 6
2 or 6
6 or -8
7 or 2

Solution

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

z2 - 8z + 12 = 0
(z - 2)(z - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z - 6) must equal zero:

If (z - 2) = 0, z must equal 2
If (z - 6) = 0, z must equal 6

So the solution is that z = 2 or 6