OFAI - Firefighter Aptitude Test Ontario Mathematical Reasoning Problems Questions and Answers

Question 1

A fire engine's water tank has a capacity of 3,000 litres.
During a fire suppression operation, the pump is dispensing water at a rate of 150 litres per minute.
If the pump runs continuously for 12 minutes, how much water will be left in the tank?

Accepted Answer

1,200 litres

Answer

1,800 litres

Answer

1,500 litres

Answer

2,850 litres

Question 2

A fire station responded to 240 calls in the month of June. Of these calls, 3/8 were medical emergencies. How many calls were NOT medical emergencies?

Accepted Answer

150

Answer

90

Answer

120

Answer

160

Question 3

A firefighter needs to calculate the area of a rectangular training room to determine the required capacity for a smoke machine. The room measures 45 feet in length and 30 feet in width. What is the total square footage of the room?

Accepted Answer

1,350 sq ft

Answer

1,250 sq ft

Answer

150 sq ft

Answer

75 sq ft

Question 4

A pumper truck is traveling to an emergency scene. Which of the following calculations correctly determines the distance traveled if the truck maintains a speed of 80 km/h for 45 minutes?

Accepted Answer

80 km/h * 0.75 h

Answer

80 km/h * 45 h

Answer

80 km/h / 0.75 h

Answer

80 km/h * 1.33 h

Question 5

A fire crew is assigned to inspect hydrants. On Monday, they inspect 12 hydrants. On Tuesday, they inspect 5 more than on Monday. On Wednesday, they inspect half the number they did on Tuesday. How many total hydrants did they inspect over the three days?

Accepted Answer

38

Answer

29

Answer

37.5

Answer

42

Question 6

A fire truck uses 1.5 litres of diesel fuel for every 10 kilometres it travels. If the truck travels 75 kilometres to a rural call and back, how much fuel is consumed in total?

Accepted Answer

22.5 litres

Answer

11.25 litres

Answer

15 litres

Answer

150 litres

A fire engine's water tank has a capacity of 3,000 litres.During a fire suppression operation, the pump is dispensing water at a rate of 150 litres per minute.If the pump runs continuously for 12 minutes, how much water will be left in the tank?

A fire engine's water tank has a capacity of 3,000 litres.
During a fire suppression operation, the pump is dispensing water at a rate of 150 litres per minute.
If the pump runs continuously for 12 minutes, how much water will be left in the tank?