ASVAB Math Knowledge Practice Test 639017 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.94
Score	0%	59%

Review

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

51% Answer Correctly

	rhombus
	triangle
	trapezoid
	quadrilateral

Solution

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

Factor y² + 2y - 24

54% Answer Correctly

	(y + 4)(y + 6)
	(y - 4)(y + 6)
	(y + 4)(y - 6)
	(y - 4)(y - 6)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -24 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -4 and 6. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 2y - 24
y² + (-4 + 6)y + (-4 x 6)
(y - 4)(y + 6)

If BD = 12 and AD = 15, AB = ?

76% Answer Correctly

	14
	3
	20
	5

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 12
AB = 3

The dimensions of this cylinder are height (h) = 1 and radius (r) = 2. What is the volume?

62% Answer Correctly

	1π
	441π
	4π
	200π

Solution

The volume of a cylinder is πr²h:

v = πr²h
v = π(2² x 1)
v = 4π

The dimensions of this trapezoid are a = 5, b = 4, c = 7, d = 8, and h = 3. What is the area?

51% Answer Correctly

	37\(\frac{1}{2}\)
	25\(\frac{1}{2}\)
	15
	18

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(4 + 8)(3)
a = ½(12)(3)
a = ½(36) = \( \frac{36}{2} \)
a = 18