ASVAB Math Knowledge Practice Test 853574 Results

Your Results Global Average
Questions 5 5
Correct 0 3.66
Score 0% 73%

Review

1

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

77% Answer Correctly

a = π r2

a = π d

a = π r

a = π d2


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

What is 8a - 4a?

79% Answer Correctly
12a2
a2
4a
32a2

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.

8a - 4a = 4a


3

If BD = 21 and AD = 27, AB = ?

76% Answer Correctly
18
19
6
9

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 = 27 - 21
AB = 6


4

A right angle measures:

90% Answer Correctly

45°

360°

90°

180°


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.


5

Find the value of c:
2c + x = 8
-2c + x = -2

42% Answer Correctly
1\(\frac{7}{15}\)
2\(\frac{1}{2}\)
-\(\frac{1}{10}\)
\(\frac{13}{28}\)

Solution

You need to find the value of c so solve the first equation in terms of x:

2c + x = 8
x = 8 - 2c

then substitute the result (8 - 2c) into the second equation:

-2c + 1(8 - 2c) = -2
-2c + (1 x 8) + (1 x -2c) = -2
-2c + 8 - 2c = -2
-2c - 2c = -2 - 8
-4c = -10
c = \( \frac{-10}{-4} \)
c = 2\(\frac{1}{2}\)