ASVAB Math Knowledge Practice Test 906061 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

If the base of this triangle is 7 and the height is 2, what is the area?

58% Answer Correctly
45
55
70
7

Solution

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

a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7


2

A trapezoid is a quadrilateral with one set of __________ sides.

71% Answer Correctly

equal length

equal angle

parallel

right angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


3

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 - a2

c2 + a2

a2 - c2

c - a


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


4

If angle a = 31° and angle b = 54° what is the length of angle c?

71% Answer Correctly
78°
132°
75°
95°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 54° = 95°


5

Simplify 2a x 4b.

86% Answer Correctly
8a2b2
8\( \frac{a}{b} \)
8ab
8\( \frac{b}{a} \)

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.

2a x 4b = (2 x 4) (a x b) = 8ab