ASVAB Math Knowledge Practice Test 583486 Results

Your Results Global Average
Questions 5 5
Correct 0 2.78
Score 0% 56%

Review

1

On this circle, line segment CD is the:

46% Answer Correctly

radius

chord

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).


2

If angle a = 45° and angle b = 35° what is the length of angle c?

70% Answer Correctly
100°
107°
83°
78°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 35° = 100°


3

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

24% Answer Correctly

c = π d

c = π r2

c = π d2

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.


4

Solve for x:
x2 + 3x - 18 = 0

57% Answer Correctly
1 or -6
3 or -6
8 or 7
5 or -3

Solution

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

x2 + 3x - 18 = 0
(x - 3)(x + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 6) must equal zero:

If (x - 3) = 0, x must equal 3
If (x + 6) = 0, x must equal -6

So the solution is that x = 3 or -6


5

The dimensions of this cube are height (h) = 9, length (l) = 7, and width (w) = 5. What is the volume?

82% Answer Correctly
216
729
54
315

Solution

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

v = h x l x w
v = 9 x 7 x 5
v = 315