ASVAB Math Knowledge Practice Test 169517 Results

Your Results Global Average
Questions 5 5
Correct 0 3.54
Score 0% 71%

Review

1

If BD = 22 and AD = 23, AB = ?

76% Answer Correctly
18
2
1
14
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 23 - 22
AB = 1

2

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

2lw x 2wh + 2lh

lw x wh + lh

h2 x l2 x w2
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.

3

The dimensions of this cube are height (h) = 5, length (l) = 9, and width (w) = 3. What is the surface area?

51% Answer Correctly
80
54
78
174
Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 3) + (2 x 3 x 5) + (2 x 9 x 5)
sa = (54) + (30) + (90)
sa = 174

4

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

First

Odd

Inside

Last
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.

5

This diagram represents two parallel lines with a transversal. If d° = 167, what is the value of x°?

73% Answer Correctly
39
148
25
167
Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with d° = 167, the value of x° is 167.