ASVAB Math Knowledge Practice Test 134653 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

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).


2

The dimensions of this trapezoid are a = 5, b = 2, c = 7, d = 8, and h = 3. What is the area?

51% Answer Correctly
15
30
13\(\frac{1}{2}\)
37\(\frac{1}{2}\)

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(2 + 8)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15


3

The dimensions of this cylinder are height (h) = 5 and radius (r) = 6. What is the volume?

62% Answer Correctly
81π
180π
75π
63π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(62 x 5)
v = 180π


4

A coordinate grid is composed of which of the following?

91% Answer Correctly

y-axis

origin

all of these

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

If BD = 23 and AD = 28, AB = ?

76% Answer Correctly
8
18
5
12

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 28 - 23
AB = 5