ASVAB Math Knowledge Practice Test 920293 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

If a = c = 8, b = d = 7, and the blue angle = 60°, what is the area of this parallelogram?

66% Answer Correctly
56
15
12
49

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 cylinder are height (h) = 4 and radius (r) = 9. What is the surface area?

48% Answer Correctly
48π
80π
234π
24π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 4)
sa = 2π(81) + 2π(36)
sa = (2 x 81)π + (2 x 36)π
sa = 162π + 72π
sa = 234π


3

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

77% Answer Correctly

a = π d

a = π d2

a = π r

a = π r2


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

Simplify (y - 6)(y - 1)

64% Answer Correctly
y2 + 5y - 6
y2 - 5y - 6
y2 - 7y + 6
y2 + 7y + 6

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 6)(y - 1)
(y x y) + (y x -1) + (-6 x y) + (-6 x -1)
y2 - y - 6y + 6
y2 - 7y + 6


5

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

58% Answer Correctly

area = ½bh

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths


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.