ASVAB Math Knowledge Practice Test 661900 Results

Your Results Global Average
Questions 5 5
Correct 0 3.37
Score 0% 67%

Review

1

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

58% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

area = ½bh


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 the circumference of a circle with a radius of 12?

71% Answer Correctly
24π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 12)
c = 24π


3

What is 4a9 + 2a9?

76% Answer Correctly
6a18
6a9
2
6

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.

4a9 + 2a9 = 6a9


4

Simplify (y - 4)(y + 8)

64% Answer Correctly
y2 + 4y - 32
y2 - 4y - 32
y2 - 12y + 32
y2 + 12y + 32

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 4)(y + 8)
(y x y) + (y x 8) + (-4 x y) + (-4 x 8)
y2 + 8y - 4y - 32
y2 + 4y - 32


5

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

lw x wh + lh

h2 x l2 x w2

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.