ASVAB Math Knowledge Practice Test 822405 Results

Your Results Global Average
Questions 5 5
Correct 0 3.64
Score 0% 73%

Review

1

If a = c = 2, b = d = 9, what is the area of this rectangle?

80% Answer Correctly
56
14
18
24

Solution

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

a = l x w
a = a x b
a = 2 x 9
a = 18


2

Order the following types of angle from least number of degrees to most number of degrees.

76% Answer Correctly

right, obtuse, acute

acute, obtuse, right

right, acute, obtuse

acute, right, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

If side a = 8, side b = 3, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{52} \)
\( \sqrt{73} \)
\( \sqrt{65} \)
\( \sqrt{37} \)

Solution

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

c2 = a2 + b2
c2 = 82 + 32
c2 = 64 + 9
c2 = 73
c = \( \sqrt{73} \)


4

This diagram represents two parallel lines with a transversal. If c° = 36, what is the value of d°?

73% Answer Correctly
36
158
38
144

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with c° = 36, the value of d° is 144.


5

What is the circumference of a circle with a diameter of 14?

71% Answer Correctly
14π
22π
26π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 14π