ASVAB Math Knowledge Practice Test 543695 Results

Your Results Global Average
Questions 5 5
Correct 0 2.72
Score 0% 54%

Review

1

Solve for y:
y2 + 7y + 12 = 0

57% Answer Correctly
9 or 3
9 or -7
3 or -9
-3 or -4

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 + 7y + 12 = 0
(y + 3)(y + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 4) must equal zero:

If (y + 3) = 0, y must equal -3
If (y + 4) = 0, y must equal -4

So the solution is that y = -3 or -4


2

The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 1. What is the surface area?

51% Answer Correctly
174
28
270
158

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 1) + (2 x 1 x 4) + (2 x 2 x 4)
sa = (4) + (8) + (16)
sa = 28


3

A right angle measures:

89% Answer Correctly

180°

90°

45°

360°


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.


4

The dimensions of this trapezoid are a = 6, b = 2, c = 9, d = 9, and h = 5. What is the area?

50% Answer Correctly
27\(\frac{1}{2}\)
22\(\frac{1}{2}\)
34
24

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(2 + 9)(5)
a = ½(11)(5)
a = ½(55) = \( \frac{55}{2} \)
a = 27\(\frac{1}{2}\)


5

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d2

c = π r

c = π d

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.