AFOQT Mathematical Knowledge Principles 3

Question 1

What is the circumference of a circle with a radius of 7? (Use π ≈ 3.14)

Accepted Answer

43.96

Answer

Circumference equals 2πr, so 2(3.14)(7) ≈ 43.96.

Question 2

Factor the expression: x² - 9.

Accepted Answer

(x + 3)(x - 3)

Answer

This is a difference of squares, factoring to (x + 3)(x - 3).

Question 3

If 5 pencils cost $1.25, how much do 12 pencils cost at the same rate?

Accepted Answer

$3.00

Answer

Each pencil costs $0.25, so 12 pencils cost 12 × $0.25 = $3.00.

Question 4

What is the value of the expression 6! / 5!?

Accepted Answer

6

Answer

6! divided by 5! cancels to leave just 6.

Question 5

A rectangle has a length of 8 and a width of 5. What is its diagonal length (rounded)?

Accepted Answer

9.4

Answer

The diagonal equals the square root of (8² + 5²) = √89 ≈ 9.4.

AFOQT Practice Test