ASVAB Math Knowledge Practice Test 143687 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

Solve for a:
-8a + 8 > -2 - 9a

55% Answer Correctly
a > -\(\frac{2}{5}\)
a > -\(\frac{2}{7}\)
a > -10
a > -\(\frac{2}{3}\)

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 > sign and the answer on the other.

-8a + 8 > -2 - 9a
-8a > -2 - 9a - 8
-8a + 9a > -2 - 8
a > -10


2

Order the following types of angle from least number of degrees to most number of degrees.

76% Answer Correctly

right, obtuse, acute

acute, obtuse, right

acute, right, obtuse

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

What is the area of a circle with a diameter of 10?

70% Answer Correctly
25π
49π
36π
81π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


4

The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 6. What is the surface area?

51% Answer Correctly
198
124
42
222

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 3 x 6) + (2 x 6 x 9) + (2 x 3 x 9)
sa = (36) + (108) + (54)
sa = 198


5

If the base of this triangle is 5 and the height is 1, what is the area?

59% Answer Correctly
20
2\(\frac{1}{2}\)
35
36

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 5 x 1 = \( \frac{5}{2} \) = 2\(\frac{1}{2}\)