ASVAB Math Knowledge Practice Test 57688 Results

Your Results Global Average
Questions 5 5
Correct 0 3.61
Score 0% 72%

Review

1

If angle a = 31° and angle b = 47° what is the length of angle c?

71% Answer Correctly
92°
82°
102°
65°
Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 47° = 102°

2

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

70% Answer Correctly
4π
5π
16π
81π
Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π

3

Order the following types of angle from least number of degrees to most number of degrees.

76% Answer Correctly

right, acute, obtuse

right, obtuse, acute

acute, right, obtuse

acute, obtuse, right
Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

4

What is the circumference of a circle with a radius of 1?

71% Answer Correctly
12π
18π
2π
10π
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 * 1)
c = 2π

5

This diagram represents two parallel lines with a transversal. If d° = 142, what is the value of a°?

73% Answer Correctly
38
166
33
37
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 d° = 142, the value of a° is 38.