CPS - Firefighter Test Firefighter Mathematical Reasoning 1 — Questions and Answers
Question 1: A firefighter's protective gear weighs 45 pounds. If a full crew of 8 firefighters suits up for a call, what is the total combined weight of all gear?
- 320 lbs
- 340 lbs
- 360 lbs (Correct answer)
- 380 lbs
Correct answer: 360 lbs
Multiply the weight per person by the number of crew members: 45 × 8 = 360 pounds total.
Question 2: A fire station's onboard water tank holds 750 gallons. If the hose discharges water at 150 gallons per minute, how many minutes will the tank last?
- 3 minutes
- 4 minutes
- 5 minutes (Correct answer)
- 6 minutes
Correct answer: 5 minutes
Divide total capacity by the discharge rate: 750 ÷ 150 = 5 minutes until the tank is empty.
Question 3: A fire department has 120 active personnel. If 15% are currently on medical or administrative leave, how many firefighters are on duty?
- 96
- 100
- 102 (Correct answer)
- 105
Correct answer: 102
15% of 120 = 18 firefighters on leave. 120 − 18 = 102 firefighters on active duty.
Question 4: Firefighter training sessions run 6 hours per day for 5 days. If 3 training sessions are held in a single month, how many total training hours are logged?
- 75 hours
- 80 hours
- 85 hours
- 90 hours (Correct answer)
Correct answer: 90 hours
Each session = 6 hours × 5 days = 30 hours. Three sessions = 30 × 3 = 90 total hours.
Question 5: A fire truck traveling to an emergency covers 12 miles at an average speed of 36 mph. How many minutes does the response take?
- 15 minutes
- 18 minutes
- 20 minutes (Correct answer)
- 24 minutes
Correct answer: 20 minutes
Time = distance ÷ speed = 12 ÷ 36 = 1/3 hour. Converting to minutes: 1/3 × 60 = 20 minutes.
Question 6: A ladder is leaned against a building with its base 6 feet from the wall and it reaches exactly 8 feet up the wall. What is the length of the ladder?
- 9 ft
- 10 ft (Correct answer)
- 11 ft
- 12 ft
Correct answer: 10 ft
Use the Pythagorean theorem: ladder² = 6² + 8² = 36 + 64 = 100. √100 = 10 feet.
CPS - Firefighter Test Firefighter Mathematical Reasoning 1
A firefighter's protective gear weighs 45 pounds.
If a full crew of 8 firefighters suits up for a call, what is the total combined weight of all gear?