ASVAB Math Knowledge Practice Test 801375 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

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

57% Answer Correctly

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

sum of interior angles = 180°

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 area of a circle with a diameter of 10?

69% Answer Correctly
49π
7π
4π
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


3

Simplify (y + 2)(y - 8)

62% Answer Correctly
y2 + 10y + 16
y2 - 6y - 16
y2 + 6y - 16
y2 - 10y + 16

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 + 2)(y - 8)
(y x y) + (y x -8) + (2 x y) + (2 x -8)
y2 - 8y + 2y - 16
y2 - 6y - 16


4

A right angle measures:

89% Answer Correctly

360°

90°

45°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


5

What is 8a4 - 2a4?

73% Answer Correctly
a48
16a4
6a4
16a8

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.

8a4 - 2a4 = 6a4