ASVAB Math Knowledge Practice Test 594554 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

If a = c = 8, b = d = 9, what is the area of this rectangle?

80% Answer Correctly
28
72
21
7
Solution

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

a = l x w
a = a x b
a = 8 x 9
a = 72

2

The dimensions of this cube are height (h) = 9, length (l) = 4, and width (w) = 4. What is the surface area?

51% Answer Correctly
176
64
138
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 4 x 4) + (2 x 4 x 9) + (2 x 4 x 9)
sa = (32) + (72) + (72)
sa = 176

3

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

24% Answer Correctly

c = π d2

c = π r

c = π r2

c = π d
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.

4

The dimensions of this cube are height (h) = 2, length (l) = 4, and width (w) = 7. What is the volume?

83% Answer Correctly
432
6
144
56
Solution

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

v = h x l x w
v = 2 x 4 x 7
v = 56

5

Factor y2 - 8y - 9

54% Answer Correctly
(y - 9)(y - 1)
(y - 9)(y + 1)
(y + 9)(y + 1)
(y + 9)(y - 1)
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 -9 as well and sum (Inside, Outside) to equal -8. For this problem, those two numbers are -9 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 8y - 9
y2 + (-9 + 1)y + (-9 x 1)
(y - 9)(y + 1)