CPS CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers 2 — Questions and Answers
Question 1: A fire hose delivers water at 125 gallons per minute. How many gallons are delivered in 36 minutes?
- 4,200 gallons
- 4,500 gallons (Correct answer)
- 4,350 gallons
- 4,050 gallons
Correct answer: 4,500 gallons
125 × 36 = 4,500 gallons.
Question 2: A building has 4 floors, each with 8 rooms. If 3 rooms on each of 2 floors are affected by smoke, what percentage of all rooms are smoke-affected?
- 12.5%
- 18.75% (Correct answer)
- 15%
- 25%
Correct answer: 18.75%
6 affected rooms out of 32 total rooms = 6/32 = 18.75%.
Question 3: A ladder extends 24 feet and is placed at a 3:4 ratio of horizontal distance to vertical height. What is the horizontal distance from the building?
- 16 feet
- 18 feet (Correct answer)
- 14.4 feet
- 12 feet
Correct answer: 18 feet
Using the ratio 3:4, if height is 24 ft, horizontal = (3/4) × 24 = 18 feet.
Question 4: A fire station responds to 48 calls in one week. If 25% are false alarms, how many are actual emergencies?
- 36 (Correct answer)
- 34
- 38
- 32
Correct answer: 36
25% of 48 = 12 false alarms; 48 − 12 = 36 actual emergencies.
Question 5: A tanker truck holds 2,500 gallons of water. If 375 gallons are used at the first scene, what fraction of the tank remains?
- 17/20
- 43/50 (Correct answer)
- 87/100
- 9/10
Correct answer: 43/50
Remaining = 2,125 gallons; 2,125/2,500 = 17/20, but simplified: 2125/2500 = 43/50.
Question 6: If firefighter gear weighs 65 lbs and a firefighter carries an additional 40 lbs of equipment, what is the total load as a percentage of a 150 lb body weight?
- 60%
- 63.3%
- 70%
- 66.7% (Correct answer)
Correct answer: 66.7%
Total load = 105 lbs; 105/150 × 100 = 70%.
CPS CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers 2
A fire hose delivers water at 125 gallons per minute.
How many gallons are delivered in 36 minutes?