ASVAB Math Knowledge Practice Test 145178 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

The dimensions of this cube are height (h) = 9, length (l) = 7, and width (w) = 7. What is the volume?

83% Answer Correctly
36
441
81
18
Solution

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

v = h x l x w
v = 9 x 7 x 7
v = 441

2

A coordinate grid is composed of which of the following?

89% Answer Correctly

y-axis

x-axis

all of these

origin
Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

3

This diagram represents two parallel lines with a transversal. If b° = 145, what is the value of c°?

73% Answer Correctly
35
160
169
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 b° = 145, the value of c° is 35.

4

The endpoints of this line segment are at (-2, 8) and (2, -2). What is the slope of this line?

46% Answer Correctly
-2\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
\(\frac{1}{2}\)
3
Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 8) and (2, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

5

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

36% Answer Correctly

same-side interior angles are complementary and equal each other

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

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

all acute angles 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°).