ASVAB Math Knowledge Practice Test 223155 Results

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

Review

1

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

77% Answer Correctly

a = π d

a = π r

a = π r2

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

Simplify 4a x 9b.

86% Answer Correctly
36a2b2
36\( \frac{a}{b} \)
36ab
36\( \frac{b}{a} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

4a x 9b = (4 x 9) (a x b) = 36ab


3

This diagram represents two parallel lines with a transversal. If z° = 35, what is the value of y°?

73% Answer Correctly
145
147
141
153

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 z° = 35, the value of y° is 145.


4

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

all of these

y-axis

origin


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

same-side interior angles are complementary and equal each other

all acute angles equal each other

all of the angles formed by a transversal are called interior angles

angles in the same position on different parallel lines are called corresponding angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and 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°).