ASVAB Math Knowledge Practice Test 706821 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

What is the area of a circle with a diameter of 10?

69% Answer Correctly
7π
3π
25π
4π
Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π

2

If the base of this triangle is 7 and the height is 3, what is the area?

58% Answer Correctly
10\(\frac{1}{2}\)
54
17\(\frac{1}{2}\)
98
Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 3 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)

3

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c - a

c2 - a2

a2 - c2

Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)

4

What is 7a4 - 2a4?

73% Answer Correctly
9
14a4
5a4
5a8
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.

7a4 - 2a4 = 5a4

5

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

83% Answer Correctly

Odd

Last

Inside

First
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.