OFAI OFAI - Firefighter Aptitude Test Ontario Spatial Reasoning and Visualization Questions and Answers 1 — Questions and Answers
Question 1: A building floor plan shows a rectangular room that is 40 feet wide and 60 feet long. What is the total perimeter of the room?
- 100 feet
- 160 feet
- 200 feet (Correct answer)
- 240 feet
Correct answer: 200 feet
Perimeter = 2 × (length + width) = 2 × (60 + 40) = 2 × 100 = 200 feet.
Question 2: A firefighter enters a burning building from the north side. After making two left turns, which direction is the firefighter now facing?
- North
- South (Correct answer)
- East
- West
Correct answer: South
Facing north and turning left twice: first turn → facing west, second turn → facing south.
Question 3: On a floor plan, 1 inch equals 20 feet. A corridor measures 3.5 inches on the plan. How long is the actual corridor?
- 35 feet
- 60 feet
- 70 feet (Correct answer)
- 80 feet
Correct answer: 70 feet
Multiply the map measurement by the scale factor: 3.5 inches × 20 feet/inch = 70 feet.
Question 4: A cube is cut in half diagonally from one corner to the opposite corner. What shape are the two resulting cross-sections?
- Square
- Triangle
- Rectangle (Correct answer)
- Trapezoid
Correct answer: Rectangle
Cutting a cube diagonally through opposite edges produces two pieces, each with a rectangular cross-section.
Question 5: A firefighter is searching a smoke-filled room and exits by making three right turns from the doorway. In what direction is the firefighter facing relative to the doorway opening?
- Toward the exit
- Away from the exit
- To the left of the exit (Correct answer)
- To the right of the exit
Correct answer: To the left of the exit
Three right turns (3 × 90° = 270° clockwise) leaves you facing 90° counterclockwise from your starting direction, which is to the left of the exit.
Question 6: A building has 5 floors. The stairwell is in the northeast corner. A firefighter on floor 3 exits to a hallway running east-west, walks to the west end, then enters a room on the south wall. Which side of the building is this room closest to?
- North
- South
- East
- West (Correct answer)
Correct answer: West
The room is at the west end of the building (west hallway terminus) on the south wall, placing it in the southwest area — closest to the west side.
A building floor plan shows a rectangular room that is 40 feet wide and 60 feet long.
What is the total perimeter of the room?