ASVAB Math Knowledge Practice Test 728924 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 1. What is the surface area?

51% Answer Correctly
70
254
150
64
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 8 x 1) + (2 x 1 x 3) + (2 x 8 x 3)
sa = (16) + (6) + (48)
sa = 70

2

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

77% Answer Correctly

a = π d

a = π r

a = π r2

a = π d2
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.

3

What is 2a - 5a?

80% Answer Correctly
-3a2
10a
7
-3a
Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a - 5a = -3a

4

If AD = 18 and BD = 9, AB = ?

76% Answer Correctly
12
9
7
17
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 = 18 - 9
AB = 9

5

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

a2 - c2

c2 - a2

c - a
Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)