ASVAB Math Knowledge Practice Test 993815 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

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

46% Answer Correctly

radius

circumference

diameter

chord


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).


2

What is 2a + 5a?

81% Answer Correctly
7
7a
-3a2
10a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a + 5a = 7a


3

If angle a = 61° and angle b = 25° what is the length of angle d?

56% Answer Correctly
154°
141°
119°
160°

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° - 61° - 25° = 94°

So, d° = 25° + 94° = 119°

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° - 61° = 119°


4

If angle a = 63° and angle b = 49° what is the length of angle c?

71% Answer Correctly
72°
103°
68°
98°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 49° = 68°


5

The dimensions of this trapezoid are a = 6, b = 3, c = 8, d = 4, and h = 4. What is the area?

51% Answer Correctly
12
14
10
24

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 4)(4)
a = ½(7)(4)
a = ½(28) = \( \frac{28}{2} \)
a = 14