ASVAB Math Knowledge Practice Test 775904 Results

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

Review

1

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

formula

expression

problem

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


2

Which of the following statements about a triangle is not true?

58% Answer Correctly

perimeter = sum of side lengths

area = ½bh

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

On this circle, line segment AB is the:

72% Answer Correctly

circumference

chord

radius

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).


4

If a = c = 4, b = d = 7, and the blue angle = 63°, what is the area of this parallelogram?

66% Answer Correctly
15
28
54
7

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 4 x 7
a = 28


5

This diagram represents two parallel lines with a transversal. If a° = 29, what is the value of c°?

73% Answer Correctly
164
23
29
168

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 a° = 29, the value of c° is 29.