ASVAB Math Knowledge Practice Test 610855 Results

Your Results Global Average
Questions 5 5
Correct 0 2.78
Score 0% 56%

Review

1

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

54% Answer Correctly

equilateral, isosceles and right

equilateral and isosceles

isosceles and right

equilateral 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.


2

What is the area of a circle with a radius of 5?

70% Answer Correctly
25π
81π

Solution

The formula for area is πr2:

a = πr2
a = π(52)
a = 25π


3

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 of the angles formed by a transversal are called interior angles

all acute angles equal each other

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°).


4

Solve for x:
-8x - 9 = \( \frac{x}{-8} \)

46% Answer Correctly
-1\(\frac{2}{3}\)
-1\(\frac{1}{7}\)
-\(\frac{32}{33}\)
-\(\frac{8}{11}\)

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.

-8x - 9 = \( \frac{x}{-8} \)
-8 x (-8x - 9) = x
(-8 x -8x) + (-8 x -9) = x
64x + 72 = x
64x + 72 - x = 0
64x - x = -72
63x = -72
x = \( \frac{-72}{63} \)
x = -1\(\frac{1}{7}\)


5

What is the circumference of a circle with a radius of 14?

71% Answer Correctly
24π
13π
28π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π