FCTC Firefighter Math Applications 2

Question 1

A hose line flows 150 gallons per minute. How many gallons will be discharged in 8 minutes?

Accepted Answer

1,200 gallons

Answer

1,050 gallons

Answer

1,350 gallons

Answer

900 gallons

Question 2

A building is 60 feet tall. If a ladder reaches 85% of the building's height, how high does the ladder reach?

Accepted Answer

51 feet

Answer

48 feet

Answer

54 feet

Answer

45 feet

Question 3

Firefighter Jones works a 24-hour shift every 3 days. How many shifts will she work in a 30-day month?

Accepted Answer

10 shifts

Answer

8 shifts

Answer

9 shifts

Answer

12 shifts

Question 4

A fire apparatus tank holds 500 gallons. If 320 gallons remain after suppression, what percentage has been used?

Accepted Answer

64%

Answer

32%

Answer

36%

Answer

68%

Question 5

An aerial ladder is extended to 75 feet at a 70-degree angle. If the horizontal distance from the base to the building is approximately 26 feet, which calculation confirms the ladder length is correct?

Accepted Answer

26 ÷ cos(70°)

Answer

26 × sin(70°)

Answer

26 × tan(70°)

Answer

26 + tan(70°)

Question 6

A rescue team must carry equipment weighing a total of 240 lbs. If 4 firefighters share the load equally, how much does each carry?

Accepted Answer

60 lbs

Answer

50 lbs

Answer

55 lbs

Answer

65 lbs

Question 7

A fire station's fuel budget is $3,600 for 12 months. If the station uses $340 in January and $290 in February, how much remains for the other 10 months?

Accepted Answer

$2,970

Answer

$2,870

Answer

$3,010

Answer

$2,730