ASVAB Math Knowledge Practice Test 959224 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

What is the circumference of a circle with a diameter of 12?

70% Answer Correctly
38π
22π
2π
12π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 12π


2

If c = 5 and z = -3, what is the value of 7c(c - z)?

68% Answer Correctly
-180
280
-168
40

Solution

To solve this equation, 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.)

7c(c - z)
7(5)(5 + 3)
7(5)(8)
(35)(8)
280


3

This diagram represents two parallel lines with a transversal. If x° = 148, what is the value of y°?

72% Answer Correctly
170
23
36
148

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 x° = 148, the value of y° is 148.


4

The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 1. What is the surface area?

51% Answer Correctly
166
122
180
96

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 1) + (2 x 1 x 6) + (2 x 6 x 6)
sa = (12) + (12) + (72)
sa = 96


5

The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 1. What is the volume?

82% Answer Correctly
448
48
12
144

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 2 x 6 x 1
v = 12