ASVAB Math Knowledge Practice Test 52403 Results

Your Results Global Average
Questions 5 5
Correct 0 3.49
Score 0% 70%

Review

1

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 perimeter is the sum of the lengths of all four sides

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).


2

If a = c = 3, b = d = 4, what is the area of this rectangle?

80% Answer Correctly
12
8
10
16

Solution

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

a = l x w
a = a x b
a = 3 x 4
a = 12


3

Simplify (y + 2)(y - 1)

64% Answer Correctly
y2 + y - 2
y2 - 3y + 2
y2 - y - 2
y2 + 3y + 2

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 - 1)
(y x y) + (y x -1) + (2 x y) + (2 x -1)
y2 - y + 2y - 2
y2 + y - 2


4

What is 2a - 8a?

80% Answer Correctly
-6a2
-6a
10
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 - 8a = -6a


5

The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the volume?

63% Answer Correctly
12π
112π
512π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 3)
v = 12π