ASVAB Math Knowledge Practice Test 806442 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

On this circle, line segment AB is the:

70% 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).


2

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

24% Answer Correctly

c = π d

c = π d2

c = π r2

c = π r


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.


3

Solve for a:
a2 - 5a - 24 = 0

58% Answer Correctly
7 or -4
-3 or 8
9 or 6
1 or -6

Solution

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

a2 - 5a - 24 = 0
(a + 3)(a - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 8) must equal zero:

If (a + 3) = 0, a must equal -3
If (a - 8) = 0, a must equal 8

So the solution is that a = -3 or 8


4

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

67% Answer Correctly

h2 x l2 x w2

h x l x w

2lw x 2wh + 2lh

lw x wh + lh


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.


5

The dimensions of this cylinder are height (h) = 1 and radius (r) = 2. What is the volume?

62% Answer Correctly
16π
256π
75π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 1)
v = 4π