ASVAB Math Knowledge Practice Test 361640 Results

Your Results Global Average
Questions 5 5
Correct 0 3.62
Score 0% 72%

Review

1

Factor y2 - 12y + 36

54% Answer Correctly
(y + 6)(y - 6)
(y - 6)(y + 6)
(y + 6)(y + 6)
(y - 6)(y - 6)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 36 as well and sum (Inside, Outside) to equal -12. For this problem, those two numbers are -6 and -6. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 12y + 36
y2 + (-6 - 6)y + (-6 x -6)
(y - 6)(y - 6)


2

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

78% Answer Correctly

a = π d

a = π r2

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.


3

If a = c = 3, b = d = 2, what is the area of this rectangle?

80% Answer Correctly
7
64
6
36

Solution

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

a = l x w
a = a x b
a = 3 x 2
a = 6


4

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

63% Answer Correctly

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

all interior angles are right angles


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

If a = 2, b = 6, c = 9, and d = 8, what is the perimeter of this quadrilateral?

88% Answer Correctly
24
25
29
16

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 2 + 6 + 9 + 8
p = 25