CPS CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers 3 — Questions and Answers
Question 1: A rectangular fire suppression zone measures 45 feet by 30 feet. What is the area in square feet?
- 1,200 sq ft
- 1,350 sq ft (Correct answer)
- 1,500 sq ft
- 1,050 sq ft
Correct answer: 1,350 sq ft
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?
- 2 hours
- 2.5 hours (Correct answer)
- 3 hours
- 1.5 hours
Correct answer: 2.5 hours
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?
- 1,200 feet
- 1,320 feet (Correct answer)
- 1,260 feet
- 1,380 feet
Correct answer: 1,320 feet
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?
- 35%
- 40% (Correct answer)
- 45%
- 30%
Correct answer: 40%
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?
- 84 feet (Correct answer)
- 72 feet
- 63 feet
- 96 feet
Correct answer: 84 feet
Climbing to the 7th floor means ascending 6 floor intervals: 18 × 6 = 108 steps × 8 in = 864 inches ÷ 12 = 72 feet.
Question 6: A fire department budget allocates $240,000 for equipment. If protective gear costs $1,600 per set and there are 30 firefighters, how much budget remains after purchasing gear for all firefighters?
- $192,000 (Correct answer)
- $196,000
- $188,000
- $192,800
Correct answer: $192,000
Cost = 30 × $1,600 = $48,000; remaining = $240,000 − $48,000 = $192,000.
A rectangular fire suppression zone measures 45 feet by 30 feet.
What is the area in square feet?