ASVAB Math Knowledge Practice Test 652566 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

A right angle measures:

91% Answer Correctly

180°

90°

45°

360°


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

This diagram represents two parallel lines with a transversal. If z° = 20, what is the value of a°?

73% Answer Correctly
169
35
20
168

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 z° = 20, the value of a° is 20.


3

What is the area of a circle with a radius of 2?

70% Answer Correctly
25π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


4

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

trisects

midpoints

intersects

bisects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


5

Solve for x:
-6x + 6 > \( \frac{x}{4} \)

44% Answer Correctly
x > \(\frac{12}{25}\)
x > \(\frac{24}{25}\)
x > -\(\frac{32}{33}\)
x > 1\(\frac{1}{2}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-6x + 6 > \( \frac{x}{4} \)
4 x (-6x + 6) > x
(4 x -6x) + (4 x 6) > x
-24x + 24 > x
-24x + 24 - x > 0
-24x - x > -24
-25x > -24
x > \( \frac{-24}{-25} \)
x > \(\frac{24}{25}\)