CPS CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers 3

Question 1

A rectangular fire suppression zone measures 45 feet by 30 feet. What is the area in square feet?

Accepted Answer

1,350 sq ft

Answer

Area = length × width = 45 × 30 = 1,350 square feet.

Question 2

A crew of 5 firefighters can clear a debris field in 4 hours. How long would it take 8 firefighters working at the same rate?

Accepted Answer

2.5 hours

Answer

Total work = 5 × 4 = 20 person-hours; 20 ÷ 8 = 2.5 hours.

Question 3

A fire travels 300 feet in 5 minutes. At this rate, how far will it travel in 22 minutes?

Accepted Answer

1,320 feet

Answer

Rate = 60 ft/min; 60 × 22 = 1,320 feet.

Question 4

Engine Company 7 used 1,800 gallons of water on a fire. If their tanker holds 3,000 gallons, what percentage of their supply remains?

Accepted Answer

40%

Answer

Remaining = 1,200 gallons; 1,200/3,000 × 100 = 40%.

Question 5

A firefighter climbs 18 steps per floor. If the fire is on the 7th floor and each step is 8 inches high, how many total feet does the firefighter climb?

Accepted Answer

84 feet

Answer

Climbing to the 7th floor means ascending 6 floor intervals: 18 × 6 = 108 steps × 8 in = 864 inches ÷ 12 = 72 feet.

CPS Firefighter Test Practice Test

CPS Firefighter Test Practice Test

CPS CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers 3