ASVAB Math Knowledge Practice Test 745478 Results

Your Results Global Average
Questions 5 5
Correct 0 3.76
Score 0% 75%

Review

1

If a = c = 8, b = d = 3, and the blue angle = 54°, what is the area of this parallelogram?

66% Answer Correctly
16
54
24
8
Solution

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

a = l x w
a = a x b
a = 8 x 3
a = 24

2

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

addition

pairs

division

exponents
Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

3

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

quadrilateral

trapezoid

rhombus

triangle
Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

4

A coordinate grid is composed of which of the following?

92% Answer Correctly

y-axis

x-axis

origin

all of these
Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

5

This diagram represents two parallel lines with a transversal. If d° = 164, what is the value of w°?

73% Answer Correctly
166
16
26
10
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° = 164, the value of w° is 16.