ASVAB Math Knowledge Practice Test 934794 Results

Your Results Global Average
Questions 5 5
Correct 0 4.01
Score 0% 80%

Review

1

What is the circumference of a circle with a radius of 16?

71% Answer Correctly
19π
32π
20π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π


2

If side x = 12cm, side y = 7cm, and side z = 11cm what is the perimeter of this triangle?

85% Answer Correctly
34cm
29cm
30cm
20cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 7cm + 11cm = 30cm


3

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

84% Answer Correctly

Odd

Inside

First

Last


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.


4

A coordinate grid is composed of which of the following?

92% Answer Correctly

x-axis

all of these

y-axis

origin


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 the area of this square is 1, what is the length of one of the diagonals?

69% Answer Correctly
2\( \sqrt{2} \)
6\( \sqrt{2} \)
\( \sqrt{2} \)
4\( \sqrt{2} \)

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 = \( \sqrt{a} \) = \( \sqrt{1} \) = 1

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 = 12 + 12
c2 = 2
c = \( \sqrt{2} \)