ASVAB Math Knowledge Practice Test 213757 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

On this circle, line segment CD is the:

46% Answer Correctly

chord

radius

diameter

circumference


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

Simplify (y + 2)(y - 9)

63% Answer Correctly
y2 + 7y - 18
y2 - 7y - 18
y2 + 11y + 18
y2 - 11y + 18

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 - 9)
(y x y) + (y x -9) + (2 x y) + (2 x -9)
y2 - 9y + 2y - 18
y2 - 7y - 18


3

If a = 7, b = 9, c = 9, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
21
31
20
13

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 7 + 9 + 9 + 6
p = 31


4

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

77% Answer Correctly

a = π r2

a = π d

a = π r

a = π d2


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.


5

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the area is length x width

all interior angles are right angles

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).