ASVAB Math Knowledge Practice Test 497983 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

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

24% Answer Correctly

c = π r

c = π r2

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

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

right angle

parallel

equal length

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


3

If angle a = 31° and angle b = 60° what is the length of angle d?

56% Answer Correctly
149°
124°
147°
125°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 60° = 89°

So, d° = 60° + 89° = 149°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 31° = 149°


4

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

right, acute, obtuse

acute, right, obtuse

right, obtuse, acute

acute, obtuse, right


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

Solve for z:
-5z + 5 = 6 - 6z

59% Answer Correctly
-1\(\frac{4}{5}\)
1
-\(\frac{7}{8}\)
-1\(\frac{3}{4}\)

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.

-5z + 5 = 6 - 6z
-5z = 6 - 6z - 5
-5z + 6z = 6 - 5
z = 1