FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 4

Question 1

A rectangular room measures 24 feet by 18 feet. What is the area of the room in square feet?

Accepted Answer

432 sq ft

Answer

384 sq ft

Answer

402 sq ft

Answer

456 sq ft

Question 2

A storage room measures 12 feet by 15 feet with an 8-foot ceiling. What is the total volume in cubic feet?

Accepted Answer

1,440 cubic feet

Answer

1,260 cubic feet

Answer

1,560 cubic feet

Answer

1,620 cubic feet

Question 3

A firefighter earns $22.50 per hour and works 56 hours in a week. Overtime (over 40 hrs) is paid at 1.5× the rate. What is gross pay?

Accepted Answer

$1,440

Answer

$1,170

Answer

$1,260

Answer

$1,350

Question 4

A cylindrical water tank has a radius of 3 feet and a height of 10 feet. Using π ≈ 3.14, what is the volume?

Accepted Answer

282.6 cubic feet

Answer

235.5 cubic feet

Answer

251.2 cubic feet

Answer

301.4 cubic feet

Question 5

A pump produces 150 PSI at the source. If friction loss is 45 PSI and the nozzle requires 80 PSI, is pressure adequate and by how much?

Accepted Answer

Yes, by 25 PSI

Answer

Yes, by 15 PSI

Answer

No, deficit of 15 PSI

Answer

No, deficit of 25 PSI

Question 6

An aerial ladder is 100 feet long. If deployed at a 75° angle, approximately what horizontal distance from the building is the base? (sin 75° ≈ 0.97, cos 75° ≈ 0.26)

Accepted Answer

26 feet

Answer

19 feet

Answer

31 feet

Answer

38 feet

Question 7

A crew of 4 firefighters can lay 600 feet of hose in 5 minutes. How long would it take 3 firefighters to lay the same 600 feet?

Accepted Answer

6.5 minutes

Answer

6 minutes

Answer

7 minutes

Answer

7.5 minutes