ASVAB Math Knowledge Practice Test 449213 Results

Your Results Global Average
Questions 5 5
Correct 0 2.70
Score 0% 54%

Review

1

The dimensions of this trapezoid are a = 4, b = 3, c = 6, d = 2, and h = 2. What is the area?

51% Answer Correctly
22
13
22\(\frac{1}{2}\)
5

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 + 2)(2)
a = ½(5)(2)
a = ½(10) = \( \frac{10}{2} \)
a = 5


2

Simplify (y + 7)(y - 7)

63% Answer Correctly
y2 - 49
72
y2 + 14y + 49
y2 - 14y + 49

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 + 7)(y - 7)
(y x y) + (y x -7) + (7 x y) + (7 x -7)
y2 - 7y + 7y - 49
y2 - 49


3

On this circle, line segment AB is the:

70% Answer Correctly

radius

diameter

chord

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).


4

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

63% Answer Correctly

all interior angles are right angles

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

the area is length x width

the lengths of all sides are equal


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).


5

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

24% Answer Correctly

c = π d

c = π d2

c = π r2

c = π r


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.