ASVAB Math Knowledge Practice Test 366118 Results

Your Results Global Average
Questions 5 5
Correct 0 3.91
Score 0% 78%

Review

1

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

quadratic

monomial

binomial


Solution

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


2

If the area of this square is 36, what is the length of one of the diagonals?

68% Answer Correctly
6\( \sqrt{2} \)
3\( \sqrt{2} \)
9\( \sqrt{2} \)
5\( \sqrt{2} \)

Solution

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{36} \) = 6

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 62 + 62
c2 = 72
c = \( \sqrt{72} \) = \( \sqrt{36 x 2} \) = \( \sqrt{36} \) \( \sqrt{2} \)
c = 6\( \sqrt{2} \)


3

The dimensions of this cube are height (h) = 5, length (l) = 9, and width (w) = 5. What is the volume?

83% Answer Correctly
128
12
225
270

Solution

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

v = h x l x w
v = 5 x 9 x 5
v = 225


4

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

lw x wh + lh

h x l x w

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.


5

A right angle measures:

90% Answer Correctly

360°

90°

45°

180°


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.