ASVAB Math Knowledge Practice Test 110266 Results

Your Results Global Average
Questions 5 5
Correct 0 2.44
Score 0% 49%

Review

1

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

24% Answer Correctly

c = π r2

c = π r

c = π d2

c = 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

Solve for b:
5b - 5 = \( \frac{b}{-1} \)

46% Answer Correctly
\(\frac{5}{6}\)
-\(\frac{14}{17}\)
-1\(\frac{5}{13}\)
-1\(\frac{7}{11}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

5b - 5 = \( \frac{b}{-1} \)
-1 x (5b - 5) = b
(-1 x 5b) + (-1 x -5) = b
-5b + 5 = b
-5b + 5 - b = 0
-5b - b = -5
-6b = -5
b = \( \frac{-5}{-6} \)
b = \(\frac{5}{6}\)


3

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

diameter

circumference

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


4

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral, isosceles and right

equilateral and isosceles

equilateral and right

isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

This diagram represents two parallel lines with a transversal. If x° = 154, what is the value of z°?

73% Answer Correctly
168
26
23
159

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 x° = 154, the value of z° is 26.