ASVAB Math Knowledge Practice Test 912025 Results

Your Results Global Average
Questions 5 5
Correct 0 3.62
Score 0% 72%

Review

1

A right angle measures:

90% Answer Correctly

90°

45°

180°

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.


2

What is the area of a circle with a diameter of 6?

69% Answer Correctly
49π
9π
6π
7π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


3

Solve for z:
z2 + 2z - 35 = 0

57% Answer Correctly
6 or -1
5 or -7
-6 or -7
3 or -2

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 + 2z - 35 = 0
(z - 5)(z + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z + 7) must equal zero:

If (z - 5) = 0, z must equal 5
If (z + 7) = 0, z must equal -7

So the solution is that z = 5 or -7


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can add monomials that have the same variable and the same exponent

you can subtract monomials that have the same variable and the same exponent

all of these statements are correct

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


5

If AD = 26 and BD = 17, AB = ?

75% Answer Correctly
19
13
9
2

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 = 26 - 17
AB = 9