ASVAB Math Knowledge Practice Test 312938 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

If angle a = 26° and angle b = 26° what is the length of angle c?

70% Answer Correctly
87°
101°
85°
128°
Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 26° - 26° = 128°

2

If BD = 13 and AD = 16, AB = ?

75% Answer Correctly
1
15
12
3
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 16 - 13
AB = 3

3

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2
Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.

4

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

deconstructing

squaring

normalizing
Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

5

This diagram represents two parallel lines with a transversal. If b° = 147, what is the value of a°?

72% Answer Correctly
170
39
33
150
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 b° = 147, the value of a° is 33.