ASVAB Math Knowledge Practice Test 993818 Results

Your Results Global Average
Questions 5 5
Correct 0 2.79
Score 0% 56%

Review

1

Solve for y:
-5y + 8 = \( \frac{y}{5} \)

46% Answer Correctly
\(\frac{42}{55}\)
\(\frac{4}{5}\)
1\(\frac{7}{13}\)
2\(\frac{8}{17}\)

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.

-5y + 8 = \( \frac{y}{5} \)
5 x (-5y + 8) = y
(5 x -5y) + (5 x 8) = y
-25y + 40 = y
-25y + 40 - y = 0
-25y - y = -40
-26y = -40
y = \( \frac{-40}{-26} \)
y = 1\(\frac{7}{13}\)


2

Which of the following statements about a triangle is not true?

57% Answer Correctly

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

sum of interior angles = 180°

area = ½bh


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

What is the circumference of a circle with a radius of 7?

70% Answer Correctly
26π
14π
6π
10π

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 * 7)
c = 14π


4

If side x = 12cm, side y = 14cm, and side z = 10cm what is the perimeter of this triangle?

83% Answer Correctly
34cm
31cm
36cm
30cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 14cm + 10cm = 36cm


5

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

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2


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.