ASVAB Math Knowledge Practice Test 383250 Results

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

Review

1

The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the volume?

62% Answer Correctly
729π
49π
648π
1π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(72 x 1)
v = 49π

2

If angle a = 48° and angle b = 40° what is the length of angle c?

71% Answer Correctly
128°
99°
80°
92°
Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 48° - 40° = 92°

3

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

diameter

radius

circumference

chord
Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

4

What is the circumference of a circle with a diameter of 17?

71% Answer Correctly
13π
17π
7π
26π
Solution

The formula for circumference is circle diameter x π:

c = πd
c = 17π

5

This diagram represents two parallel lines with a transversal. If c° = 15, what is the value of z°?

73% Answer Correctly
152
34
165
15
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 c° = 15, the value of z° is 15.