ASVAB Math Knowledge Practice Test 87127 Results

Your Results Global Average
Questions 5 5
Correct 0 3.65
Score 0% 73%

Review

1

This diagram represents two parallel lines with a transversal. If z° = 17, what is the value of a°?

73% Answer Correctly
151
17
152
35
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° = 17, the value of a° is 17.

2

If a = c = 8, b = d = 2, and the blue angle = 72°, what is the area of this parallelogram?

66% Answer Correctly
2
14
16
72
Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 8 x 2
a = 16

3

If angle a = 38° and angle b = 66° what is the length of angle c?

71% Answer Correctly
97°
76°
86°
84°
Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 66° = 76°

4

The dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the volume?

63% Answer Correctly
567π
125π
50π
192π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 7)
v = 567π

5

A coordinate grid is composed of which of the following?

91% Answer Correctly

x-axis

all of these

origin

y-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.