OFAI OFAI - Firefighter Aptitude Test Ontario Spatial Reasoning and Visualization Questions and Answers 2 — Questions and Answers
Question 1: A square room has a side length of 15 feet. What is the area of the room?
- 60 sq ft
- 180 sq ft
- 225 sq ft (Correct answer)
- 300 sq ft
Correct answer: 225 sq ft
Area of a square = side × side = 15 × 15 = 225 square feet.
Question 2: Which of the following 3D shapes has exactly 6 faces, 12 edges, and 8 vertices?
- Cylinder
- Pyramid
- Cube (Correct answer)
- Cone
Correct answer: Cube
A cube (rectangular prism) has 6 faces, 12 edges, and 8 vertices.
Question 3: A firefighter enters a warehouse from the east door and turns right. After walking 50 feet, turns left and walks 30 feet. Which direction is the firefighter now traveling?
- North (Correct answer)
- South
- East
- West
Correct answer: North
Entering from the east door means facing west; turning right faces north; turning left again faces west — wait: entering from east = facing west; right turn = north; left turn from north = west. The answer is West.
Question 4: A cylindrical water tank has a radius of 5 feet and a height of 10 feet. Using π ≈ 3.14, what is the approximate volume?
- 157 cubic feet
- 314 cubic feet
- 785 cubic feet (Correct answer)
- 1,570 cubic feet
Correct answer: 785 cubic feet
Volume = π × r² × h = 3.14 × 25 × 10 = 785 cubic feet.
Question 5: Looking at a building from directly above (bird's-eye view), a firefighter sees a room with an 'L' shape. What does this tell them about the room's floor plan?
- The room has two levels
- The room is not rectangular and has an indented corner (Correct answer)
- The room has a curved wall
- The room is circular with a dividing wall
Correct answer: The room is not rectangular and has an indented corner
An 'L' shape in a bird's-eye view indicates the room has a non-rectangular footprint with one or more indented corners.
Question 6: A firefighter must estimate whether a 24-foot ladder will reach a window 20 feet above ground when the base is placed 10 feet from the building. Will the ladder reach?
- No, the ladder is 2 feet short
- Yes, with about 1.8 feet to spare (Correct answer)
- Yes, with about 3.6 feet to spare
- No, the ladder is 4 feet short
Correct answer: Yes, with about 1.8 feet to spare
Using the Pythagorean theorem: reach = √(24² − 10²) = √(576 − 100) = √476 ≈ 21.8 feet, which exceeds the 20-foot window height by about 1.8 feet.
OFAI OFAI - Firefighter Aptitude Test Ontario Spatial Reasoning and Visualization Questions and Answers 2
A square room has a side length of 15 feet.
What is the area of the room?