ASVAB Math Knowledge Practice Test 561172 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

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

54% Answer Correctly

π r2h2

π r2h

2(π r2) + 2π rh

4π r2


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.


2

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

slope

x-intercept

\({\Delta y \over \Delta x}\)

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


3

The dimensions of this cube are height (h) = 4, length (l) = 4, and width (w) = 1. What is the volume?

83% Answer Correctly
256
32
108
16

Solution

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

v = h x l x w
v = 4 x 4 x 1
v = 16


4

What is 3a + 5a?

81% Answer Correctly
a2
15a2
8
8a

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.

3a + 5a = 8a


5

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

78% Answer Correctly

a = π d

a = π d2

a = π r

a = π r2


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.