ASVAB Math Knowledge Practice Test 537660 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

If the base of this triangle is 1 and the height is 1, what is the area?

58% Answer Correctly
72
\(\frac{1}{2}\)
98
56

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 1 x 1 = \( \frac{1}{2} \) = \(\frac{1}{2}\)


2

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

57% Answer Correctly

sum of interior angles = 180°

area = ½bh

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles


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

The dimensions of this cube are height (h) = 7, length (l) = 2, and width (w) = 4. What is the surface area?

51% Answer Correctly
100
352
102
142

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 4) + (2 x 4 x 7) + (2 x 2 x 7)
sa = (16) + (56) + (28)
sa = 100


4

Simplify 5a x 8b.

85% Answer Correctly
40a2b2
13ab
40ab
40\( \frac{b}{a} \)

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.

5a x 8b = (5 x 8) (a x b) = 40ab


5

What is 9a + 6a?

81% Answer Correctly
15a
54a
15
54a2

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 + 6a = 15a