ASVAB Math Knowledge Practice Test 500455 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

On this circle, line segment AB is the:

71% Answer Correctly

radius

chord

circumference

diameter


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

Which of the following statements about a triangle is not true?

58% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°

perimeter = sum of side lengths


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

What is 9a3 + 5a3?

76% Answer Correctly
14a3
14a6
45a3
14

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.

9a3 + 5a3 = 14a3


4

What is the area of a circle with a radius of 3?

70% Answer Correctly
64π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


5

Solve for z:
-3z - 8 = \( \frac{z}{-9} \)

46% Answer Correctly
-1\(\frac{3}{7}\)
\(\frac{3}{4}\)
-2\(\frac{10}{13}\)
-\(\frac{12}{23}\)

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.

-3z - 8 = \( \frac{z}{-9} \)
-9 x (-3z - 8) = z
(-9 x -3z) + (-9 x -8) = z
27z + 72 = z
27z + 72 - z = 0
27z - z = -72
26z = -72
z = \( \frac{-72}{26} \)
z = -2\(\frac{10}{13}\)