ASVAB Math Knowledge Practice Test 31063 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the surface area?

48% Answer Correctly
40π
72π
16π
196π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 9)
sa = 2π(9) + 2π(27)
sa = (2 x 9)π + (2 x 27)π
sa = 18π + 54π
sa = 72π


2

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

pairs

division

exponents

addition


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


3

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

42% Answer Correctly

slope

y-intercept

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

x-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.


4

What is the area of a circle with a radius of 3?

69% Answer Correctly
81π
64π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


5

A coordinate grid is composed of which of the following?

88% Answer Correctly

origin

y-axis

x-axis

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.