ASVAB Math Knowledge Practice Test 36573 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

If angle a = 45° and angle b = 28° what is the length of angle c?

70% Answer Correctly
101°
107°
46°
87°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 28° = 107°


2

On this circle, line segment AB is the:

70% Answer Correctly

chord

radius

circumference

diameter


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).


3

What is the circumference of a circle with a radius of 4?

70% Answer Correctly
38π
20π
18π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 4)
c = 8π


4

The dimensions of this cylinder are height (h) = 3 and radius (r) = 9. What is the volume?

62% Answer Correctly
448π
243π
81π
288π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 3)
v = 243π


5

This diagram represents two parallel lines with a transversal. If c° = 25, what is the value of z°?

72% Answer Correctly
11
168
14
25

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° = 25, the value of z° is 25.