ASVAB Math Knowledge Practice Test 365516 Results

Your Results Global Average
Questions 5 5
Correct 0 3.79
Score 0% 76%

Review

1

The formula for the area of a circle is which of the following?

78% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

A right angle measures:

91% Answer Correctly

180°

90°

45°

360°


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.


3

If BD = 11 and AD = 17, AB = ?

76% Answer Correctly
6
3
13
8

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 17 - 11
AB = 6


4

If b = -3 and x = 3, what is the value of 4b(b - x)?

69% Answer Correctly
72
84
-135
108

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

4b(b - x)
4(-3)(-3 - 3)
4(-3)(-6)
(-12)(-6)
72


5

If side a = 7, side b = 7, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{98} \)
\( \sqrt{58} \)
\( \sqrt{65} \)
\( \sqrt{26} \)

Solution

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

c2 = a2 + b2
c2 = 72 + 72
c2 = 49 + 49
c2 = 98
c = \( \sqrt{98} \)