ASVAB Math Knowledge Practice Test 566523 Results

Your Results Global Average
Questions 5 5
Correct 0 3.45
Score 0% 69%

Review

1

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h2 x l2 x w2

h x l x w

lw x wh + lh

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


2

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

quadratic

binomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

What is the area of a circle with a radius of 2?

69% Answer Correctly
16π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


4

This diagram represents two parallel lines with a transversal. If y° = 144, what is the value of c°?

73% Answer Correctly
37
164
21
36

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 y° = 144, the value of c° is 36.


5

The dimensions of this trapezoid are a = 4, b = 7, c = 5, d = 6, and h = 2. What is the area?

51% Answer Correctly
10
13
15
12

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(7 + 6)(2)
a = ½(13)(2)
a = ½(26) = \( \frac{26}{2} \)
a = 13