ASVAB Math Knowledge Practice Test 729883 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

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

74% Answer Correctly

factoring

squaring

normalizing

deconstructing


Solution

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


2

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

48% Answer Correctly
66π
324π
72π
90π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 9)
sa = 2π(81) + 2π(81)
sa = (2 x 81)π + (2 x 81)π
sa = 162π + 162π
sa = 324π


3

If a = c = 4, b = d = 9, what is the area of this rectangle?

80% Answer Correctly
9
18
45
36

Solution

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

a = l x w
a = a x b
a = 4 x 9
a = 36


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h2 x l2 x w2

lw x wh + lh

h x l x w

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).