ASVAB Math Knowledge Practice Test 432903 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

A right angle measures:

90% Answer Correctly

90°

360°

180°

45°


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.


2

Simplify (y - 9)(y - 7)

62% Answer Correctly
y2 + 2y - 63
y2 - 2y - 63
y2 + 16y + 63
y2 - 16y + 63

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 9)(y - 7)
(y x y) + (y x -7) + (-9 x y) + (-9 x -7)
y2 - 7y - 9y + 63
y2 - 16y + 63


3

The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the surface area?

48% Answer Correctly
72π
216π
10π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π


4

Factor y2 + 3y - 54

53% Answer Correctly
(y - 6)(y - 9)
(y + 6)(y - 9)
(y - 6)(y + 9)
(y + 6)(y + 9)

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 -54 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -6 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 3y - 54
y2 + (-6 + 9)y + (-6 x 9)
(y - 6)(y + 9)


5

If a = c = 3, b = d = 4, what is the area of this rectangle?

79% Answer Correctly
12
63
72
8

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 3 x 4
a = 12