FCTC FCTC Firefighter Math Applications Questions and Answers 4

Question 1

A firefighter earns $22.50 per hour. How much does she earn for a 24-hour shift?

Accepted Answer

$540.00

Answer

$480.00

Answer

$520.00

Answer

$560.00

Question 2

A circular water storage tank has a diameter of 20 feet. What is the approximate area of its base? (Use π ≈ 3.14)

Accepted Answer

314 sq ft

Answer

62.8 sq ft

Answer

628 sq ft

Answer

1,256 sq ft

Question 3

A fire engine uses 6 gallons of fuel per hour while pumping. How much fuel is consumed during a 3.5-hour operation?

Accepted Answer

21 gallons

Answer

18 gallons

Answer

19 gallons

Answer

24 gallons

Question 4

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

Accepted Answer

17 feet

Answer

13 feet

Answer

15 feet

Answer

19 feet

Question 5

A building's floor area is 4,500 square feet and is divided into equal-sized rooms. If each room is 300 square feet, how many rooms are in the building?

Accepted Answer

15 rooms

Answer

12 rooms

Answer

13 rooms

Answer

18 rooms

Question 6

A 1¾-inch hose line has a friction loss of 15.5 psi per 100 feet. What is the friction loss for a 200-foot hose lay?

Accepted Answer

31 psi

Answer

15.5 psi

Answer

23.25 psi

Answer

46.5 psi

Question 7

An aerial ladder must reach a window 72 feet above ground. If the ladder is set at a 70° working angle, approximately what horizontal distance from the building should the base be placed? (tan 70° ≈ 2.75)

Accepted Answer

26 feet

Answer

18 feet

Answer

22 feet

Answer

30 feet