ASVAB Math Knowledge Practice Test 462872 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

What is the area of a circle with a diameter of 6?

69% Answer Correctly
81π

Solution

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

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


2

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles

all of the angles formed by a transversal are called interior angles

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


3

The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 1. What is the volume?

82% Answer Correctly
15
96
80
32

Solution

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

v = h x l x w
v = 4 x 8 x 1
v = 32


4

If the base of this triangle is 7 and the height is 4, what is the area?

58% Answer Correctly
84
38\(\frac{1}{2}\)
14
91

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 4 = \( \frac{28}{2} \) = 14


5

Simplify 8a x 2b.

85% Answer Correctly
10ab
16\( \frac{a}{b} \)
16ab
16\( \frac{b}{a} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

8a x 2b = (8 x 2) (a x b) = 16ab