ASVAB Math Knowledge Practice Test 901410 Results

Your Results Global Average
Questions 5 5
Correct 0 3.75
Score 0% 75%

Review

1

This diagram represents two parallel lines with a transversal. If c° = 38, what is the value of w°?

73% Answer Correctly
27
38
34
32

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° = 38, the value of w° is 38.


2

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral, isosceles and right

equilateral and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


3

If angle a = 41° and angle b = 48° what is the length of angle c?

71% Answer Correctly
95°
90°
91°
94°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 41° - 48° = 91°


4

A right angle measures:

91% Answer Correctly

90°

180°

360°

45°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


5

Simplify 6a x 8b.

86% Answer Correctly
48\( \frac{b}{a} \)
14ab
48ab
48\( \frac{a}{b} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

6a x 8b = (6 x 8) (a x b) = 48ab