AFOQT - Air Force Officer Qualifying Mathematical Knowledge Principles Questions and Answers

Question 1

A cylindrical fuel tank has a radius of 4 feet and a height of 10 feet. If fuel costs $5.00 per cubic foot, what is the total cost to fill the tank completely? (Use π ≈ 3.14)

Accepted Answer

$2,512.00

Answer

$2,010.60

Answer

$1,256.00

Answer

$502.40

Question 2

Solve the following inequality for x: 3(x - 2) + 5 < 2(x + 4)

Accepted Answer

x < 9

Answer

x > 9

Answer

x < -3

Answer

x > -3

Question 3

An aircraft maintenance hangar is a rectangle with a length of 120 meters and a width of 50 meters. A triangular section in one corner is painted for safety markings. The base of this triangle is 10 meters and its height is 8 meters. Which of the following represents the area of the hangar floor that is NOT painted?

Accepted Answer

5,960 sq m

Answer

6,000 sq m

Answer

5,920 sq m

Answer

40 sq m

Question 4

If 4x + 2y = 10 and x - y = 1, what is the value of x?

Accepted Answer

2

Answer

3

Answer

1

Answer

4

Question 5

A right triangle has a hypotenuse of 13 inches and one leg that is 5 inches long. What is the length of the other leg?

Accepted Answer

12 inches

Answer

14 inches

Answer

8 inches

Answer

10 inches

Question 6

Simplify the following algebraic expression: (3x²y)(4x³y⁴)

Accepted Answer

12x⁵y⁵

Answer

7x⁵y⁵

Answer

12x⁶y⁴

Answer

7x⁶y⁴

A cylindrical fuel tank has a radius of 4 feet and a height of 10 feet.If fuel costs $5.00 per cubic foot, what is the total cost to fill the tank completely? (Use π ≈ 3.14)

A cylindrical fuel tank has a radius of 4 feet and a height of 10 feet.
If fuel costs $5.00 per cubic foot, what is the total cost to fill the tank completely? (Use π ≈ 3.14)