ASVAB Math Knowledge Practice Test 34736 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

If angle a = 36° and angle b = 37° what is the length of angle d?

56% Answer Correctly
149°
144°
129°
121°

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° - 36° - 37° = 107°

So, d° = 37° + 107° = 144°

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° - 36° = 144°


2

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

46% Answer Correctly

diameter

circumference

radius

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).


3

If a = c = 2, b = d = 4, what is the area of this rectangle?

80% Answer Correctly
35
9
14
8

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 2 x 4
a = 8


4

Simplify (y + 2)(y + 2)

63% Answer Correctly
y2 - 4y + 4
y2 - 4
79
y2 + 4y + 4

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y + 2)
(y x y) + (y x 2) + (2 x y) + (2 x 2)
y2 + 2y + 2y + 4
y2 + 4y + 4


5

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

division

pairs

addition

exponents


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)