ASVAB Math Knowledge Practice Test 690920 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

What is the circumference of a circle with a radius of 1?

71% Answer Correctly
30π

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 * 1)
c = 2π


2

The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?

48% Answer Correctly
180π
40π
96π
140π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π


3

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

squaring

normalizing

deconstructing

factoring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

If angle a = 32° and angle b = 21° what is the length of angle c?

71% Answer Correctly
127°
85°
66°
73°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 32° - 21° = 127°


5

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

42% Answer Correctly

y-intercept

slope

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

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.