ASVAB Math Knowledge Practice Test 754081 Results

Your Results Global Average
Questions 5 5
Correct 0 3.49
Score 0% 70%

Review

1

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.


2

The dimensions of this cylinder are height (h) = 4 and radius (r) = 5. What is the volume?

62% Answer Correctly
2π
648π
100π
180π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 4)
v = 100π


3

A coordinate grid is composed of which of the following?

88% Answer Correctly

origin

all of these

y-axis

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


4

What is 9a + 4a?

80% Answer Correctly
13a2
13a
36a
5a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a + 4a = 13a


5

Simplify (8a)(2ab) - (8a2)(6b).

59% Answer Correctly
64ab2
-32a2b
32ab2
64a2b

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.

(8a)(2ab) - (8a2)(6b)
(8 x 2)(a x a x b) - (8 x 6)(a2 x b)
(16)(a1+1 x b) - (48)(a2b)
16a2b - 48a2b
-32a2b