ASVAB Math Knowledge Practice Test 94164 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

If a = c = 3, b = d = 1, and the blue angle = 67°, what is the area of this parallelogram?

65% Answer Correctly
27
3
5
42

Solution

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

a = l x w
a = a x b
a = 3 x 1
a = 3


2

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

57% Answer Correctly

sum of interior angles = 180°

area = ½bh

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.


3

Simplify (4a)(5ab) - (2a2)(6b).

62% Answer Correctly
-8ab2
8a2b
72a2b
72ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(5ab) - (2a2)(6b)
(4 x 5)(a x a x b) - (2 x 6)(a2 x b)
(20)(a1+1 x b) - (12)(a2b)
20a2b - 12a2b
8a2b


4

The dimensions of this cylinder are height (h) = 1 and radius (r) = 3. What is the surface area?

48% Answer Correctly
210π
72π
32π
24π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 1)
sa = 2π(9) + 2π(3)
sa = (2 x 9)π + (2 x 3)π
sa = 18π + 6π
sa = 24π


5

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Odd

Inside

Last


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.