ASVAB Math Knowledge Practice Test 884502 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

factoring

normalizing

squaring

deconstructing
Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

2

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

52% Answer Correctly

quadrilateral

rhombus

triangle

trapezoid
Solution

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

3

A trapezoid is a quadrilateral with one set of __________ sides.

71% Answer Correctly

parallel

equal angle

right angle

equal length
Solution

A trapezoid is a quadrilateral with one set of parallel sides.

4

The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 8. What is the volume?

83% Answer Correctly
240
72
80
225
Solution

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

v = h x l x w
v = 5 x 2 x 8
v = 80

5

If the area of this square is 1, what is the length of one of the diagonals?

69% Answer Correctly
5\( \sqrt{2} \)
4\( \sqrt{2} \)
\( \sqrt{2} \)
7\( \sqrt{2} \)
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 = \( \sqrt{a} \) = \( \sqrt{1} \) = 1

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 = 12 + 12
c2 = 2
c = \( \sqrt{2} \)