FCTC Firefighter Mathematical Problems 5

Question 1

A fire hose delivers water at 150 gallons per minute. How many gallons are delivered in 2 hours and 15 minutes?

Accepted Answer

20,250 gallons

Answer

2 hours 15 minutes = 135 minutes; 135 × 150 = 20,250 gallons.

Question 2

A ladder is placed against a building with its base 8 feet from the wall and reaches a height of 15 feet. What is the length of the ladder?

Accepted Answer

17 feet

Answer

Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 feet.

Question 3

A fire station receives 12 alarms on Monday, 9 on Tuesday, 15 on Wednesday, 6 on Thursday, and 18 on Friday. What is the average number of alarms per day?

Accepted Answer

12 alarms

Answer

(12 + 9 + 15 + 6 + 18) ÷ 5 = 60 ÷ 5 = 12 alarms per day.

Question 4

A chemical foam concentrate is mixed at a 3% ratio. How many gallons of concentrate are needed to make 400 gallons of finished foam solution?

Accepted Answer

12 gallons

Answer

400 × 0.03 = 12 gallons of concentrate.

Question 5

A building floor plan measures 120 feet by 85 feet. What is the total square footage?

Accepted Answer

10,200 sq ft

Answer

120 × 85 = 10,200 square feet.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Firefighter Mathematical Problems 5