ASVAB Math Knowledge Practice Test 126106 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 6. What is the surface area?

51% Answer Correctly
136
38
52
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 7 x 6) + (2 x 6 x 2) + (2 x 7 x 2)
sa = (84) + (24) + (28)
sa = 136


2

Which of the following statements about a triangle is not true?

57% Answer Correctly

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°

area = ½bh

perimeter = sum of side lengths


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 8. What is the volume?

82% Answer Correctly
12
2
128
112

Solution

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

v = h x l x w
v = 2 x 7 x 8
v = 112


4

Solve for c:
3c + 5 = 8 - 5c

58% Answer Correctly
\(\frac{3}{8}\)
\(\frac{1}{2}\)
\(\frac{5}{6}\)
\(\frac{7}{8}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

3c + 5 = 8 - 5c
3c = 8 - 5c - 5
3c + 5c = 8 - 5
8c = 3
c = \( \frac{3}{8} \)
c = \(\frac{3}{8}\)


5

What is 6a4 - 7a4?

73% Answer Correctly
-1
42a4
-1a4
a48

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.

6a4 - 7a4 = -1a4