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

24 × 18 = 432 square feet.

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

V = 12 × 15 × 8 = 1,440 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

Regular: 40 × $22.50 = $900; OT rate: $33.75; OT pay: 16 × $33.75 = $540; total = $1,440.

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

V = π × r² × h = 3.14 × 9 × 10 = 282.6 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

Required = 45 + 80 = 125 PSI; available = 150 PSI; surplus = 25 PSI.

FCTC Test Practice Test