ASVAB Math Knowledge Practice Test 866070 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

A right angle measures:

90% Answer Correctly

180°

360°

90°

45°


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.


2

A coordinate grid is composed of which of the following?

89% Answer Correctly

origin

all of these

y-axis

x-axis


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

The dimensions of this cylinder are height (h) = 6 and radius (r) = 8. What is the volume?

62% Answer Correctly
392π
36π
384π
144π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(82 x 6)
v = 384π


4

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

36% Answer Correctly

all acute angles 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

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°).


5

The endpoints of this line segment are at (-2, 5) and (2, -3). What is the slope of this line?

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

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, 5) and (2, -3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2