ASVAB Math Knowledge Practice Test 146066 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

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

58% Answer Correctly

area = ½bh

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

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.


2

What is 8a6 + 7a6?

76% Answer Correctly
15a6
a12
1
a612

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.

8a6 + 7a6 = 15a6


3

Factor y2 - 9y + 18

54% Answer Correctly
(y + 6)(y - 3)
(y - 6)(y - 3)
(y - 6)(y + 3)
(y + 6)(y + 3)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 18 as well and sum (Inside, Outside) to equal -9. For this problem, those two numbers are -6 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 9y + 18
y2 + (-6 - 3)y + (-6 x -3)
(y - 6)(y - 3)


4

The dimensions of this cube are height (h) = 5, length (l) = 8, and width (w) = 4. What is the volume?

83% Answer Correctly
189
160
126
72

Solution

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

v = h x l x w
v = 5 x 8 x 4
v = 160


5

On this circle, line segment AB is the:

72% Answer Correctly

radius

diameter

circumference

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).