ASVAB Math Knowledge Practice Test 830465 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

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

24% Answer Correctly

c = π r2

c = π r

c = π d2

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.


2

Solve for z:
6z + 6 = \( \frac{z}{-3} \)

46% Answer Correctly
-\(\frac{18}{19}\)
\(\frac{27}{28}\)
\(\frac{28}{55}\)
\(\frac{16}{27}\)

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.

6z + 6 = \( \frac{z}{-3} \)
-3 x (6z + 6) = z
(-3 x 6z) + (-3 x 6) = z
-18z - 18 = z
-18z - 18 - z = 0
-18z - z = 18
-19z = 18
z = \( \frac{18}{-19} \)
z = -\(\frac{18}{19}\)


3

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

54% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h2

π r2h


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

If a = 9, b = 7, c = 5, and d = 8, what is the perimeter of this quadrilateral?

88% Answer Correctly
15
20
29
26

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 9 + 7 + 5 + 8
p = 29


5

If a = c = 9, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
12
48
2
54

Solution

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

a = l x w
a = a x b
a = 9 x 6
a = 54