ASVAB Math Knowledge Practice Test 427416 Results

Your Results Global Average
Questions 5 5
Correct 0 3.98
Score 0% 80%

Review

1

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

Odd

Last

First

Inside
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.

2

If the area of this square is 81, what is the length of one of the diagonals?

68% Answer Correctly
\( \sqrt{2} \)
9\( \sqrt{2} \)
6\( \sqrt{2} \)
5\( \sqrt{2} \)
Solution

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{81} \) = 9

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 92 + 92
c2 = 162
c = \( \sqrt{162} \) = \( \sqrt{81 x 2} \) = \( \sqrt{81} \) \( \sqrt{2} \)
c = 9\( \sqrt{2} \)

3

The dimensions of this cube are height (h) = 7, length (l) = 7, and width (w) = 3. What is the volume?

83% Answer Correctly
147
54
120
9
Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 7 x 7 x 3
v = 147

4

If BD = 10 and AD = 13, AB = ?

76% Answer Correctly
1
3
17
5
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 = 13 - 10
AB = 3

5

If a = 7, b = 6, c = 9, and d = 4, what is the perimeter of this quadrilateral?

88% Answer Correctly
23
26
16
24
Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 7 + 6 + 9 + 4
p = 26