ASVAB Math Knowledge Practice Test 540821 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

Factor y2 - 4y - 21

53% Answer Correctly
(y - 7)(y + 3)
(y + 7)(y - 3)
(y - 7)(y - 3)
(y + 7)(y + 3)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -21 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -7 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4y - 21
y2 + (-7 + 3)y + (-7 x 3)
(y - 7)(y + 3)


2

A right angle measures:

89% Answer Correctly

45°

180°

90°

360°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

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

76% Answer Correctly

a = π r

a = π d

a = π r2

a = π d2


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.


4

The dimensions of this cube are height (h) = 3, length (l) = 6, and width (w) = 6. What is the surface area?

51% Answer Correctly
118
126
144
72

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 6) + (2 x 6 x 3) + (2 x 6 x 3)
sa = (72) + (36) + (36)
sa = 144


5

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

52% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h

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.