ASVAB Math Knowledge Practice Test 242992 Results

Your Results Global Average
Questions 5 5
Correct 0 3.69
Score 0% 74%

Review

1

If side a = 1, side b = 6, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{80} \)
\( \sqrt{58} \)
\( \sqrt{85} \)
\( \sqrt{37} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 12 + 62
c2 = 1 + 36
c2 = 37
c = \( \sqrt{37} \)


2

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

58% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

sum of interior angles = 180°


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

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

84% Answer Correctly

Odd

Last

Inside

First


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.


4

On this circle, line segment AB is the:

71% Answer Correctly

radius

chord

circumference

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


5

A right angle measures:

91% Answer Correctly

45°

180°

360°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.