ASVAB Math Knowledge Practice Test 80000 Results

Your Results Global Average
Questions 5 5
Correct 0 2.47
Score 0% 49%

Review

1

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

24% Answer Correctly

c = π d

c = π d2

c = π r2

c = π r


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.


2

Solve for a:
-a - 5 > -6 + 2a

55% Answer Correctly
a > 1\(\frac{1}{6}\)
a > -1
a > \(\frac{1}{3}\)
a > -\(\frac{3}{4}\)

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.

-a - 5 > -6 + 2a
-a > -6 + 2a + 5
-a - 2a > -6 + 5
-3a > -1
a > \( \frac{-1}{-3} \)
a > \(\frac{1}{3}\)


3

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

2(π r2) + 2π rh

π r2h

4π r2

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


4

The endpoints of this line segment are at (-2, -6) and (2, 4). What is the slope of this line?

46% Answer Correctly
\(\frac{1}{2}\)
-3
1
2\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)


5

What is the circumference of a circle with a radius of 7?

71% Answer Correctly
14π
19π
10π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 7)
c = 14π