ASVAB Math Knowledge Practice Test 170968 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

If a = c = 8, b = d = 7, and the blue angle = 55°, what is the area of this parallelogram?

66% Answer Correctly
16
56
81
30

Solution

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

a = l x w
a = a x b
a = 8 x 7
a = 56


2

The dimensions of this cube are height (h) = 8, length (l) = 8, and width (w) = 2. What is the volume?

83% Answer Correctly
288
18
128
40

Solution

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

v = h x l x w
v = 8 x 8 x 2
v = 128


3

Which of the following statements about a triangle is not true?

58% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

area = ½bh


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


4

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

75% Answer Correctly

normalizing

factoring

squaring

deconstructing


Solution

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


5

The dimensions of this cylinder are height (h) = 4 and radius (r) = 7. What is the surface area?

48% Answer Correctly
154π
10π
234π
224π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 4)
sa = 2π(49) + 2π(28)
sa = (2 x 49)π + (2 x 28)π
sa = 98π + 56π
sa = 154π