CJBAT Spatial Awareness Questions & Answers 2 — Questions and Answers
Question 1: An officer at the northeast corner of an intersection sees a suspect flee west for 3 blocks, then turn south. Where is the suspect relative to the officer?
- 3 blocks west and 1 block south
- 3 blocks northwest
- 3 blocks west (just turned south, no southward distance yet) (Correct answer)
- 3 blocks east and 1 block south
Correct answer: 3 blocks west (just turned south, no southward distance yet)
The suspect ran 3 blocks west then turned south. After the turn but before running south, the suspect is 3 blocks directly west.
Starting: northeast corner. Movement 1: 3 blocks west. Movement 2: turns south (the turn itself doesn't change position). Current position is 3 blocks directly west of the officer's original position.
Question 2: A patrol area is 8 blocks east-west and 5 blocks north-south. An officer at the southwest corner needs to reach the northeast corner. Which route is shortest?
- 8 east then 5 north
- 5 north then 8 east
- 4 east, 5 north, 4 east
- All cover the same distance (Correct answer)
Correct answer: All cover the same distance
On a grid, any combination totaling 8 east and 5 north covers the same 13 blocks.
In Manhattan distance, total distance depends only on total horizontal and vertical displacement. Getting from southwest to northeast requires exactly 8 east + 5 north = 13 blocks regardless of path order.
Question 3: A suspect enters a stairwell on the 3rd floor, goes up 2 floors, crosses to the east wing, goes down 3 floors, then exits. What floor?
- 2nd floor (Correct answer)
- 3rd floor
- 5th floor
- Ground floor
Correct answer: 2nd floor
Floor 3, up 2 = floor 5, down 3 = floor 2. The suspect exits on the 2nd floor.
Starting floor: 3. Up 2: 3+2=5. Horizontal movement doesn't change floor. Down 3: 5-3=2. The suspect exits on the 2nd floor.
Question 4: Evidence markers at (3,7), (8,7), (8,2), and (3,2) measured from a room's southwest corner. What shape do they form?
- A triangle
- A 5x5 rectangle (Correct answer)
- A 5x3 rectangle
- An irregular quadrilateral
Correct answer: A 5x5 rectangle
East-west: 8-3=5. North-south: 7-2=5. Both dimensions equal, forming a 5x5 square (special rectangle).
A(3,7) top-left, B(8,7) top-right, C(8,2) bottom-right, D(3,2) bottom-left. Horizontal: 8-3=5. Vertical: 7-2=5. All right angles. This is a 5x5 square.
Question 5: A gas station is 2 blocks north and 3 east of a motorist. City Hall is 4 south and 6 east of the motorist. How far is City Hall from the gas station?
- 6 blocks south and 3 blocks east (Correct answer)
- 2 south and 3 east
- 6 south and 9 east
- 4 south and 6 east
Correct answer: 6 blocks south and 3 blocks east
Gas station is at (+3,+2). City Hall at (+6,-4). From gas station: 6-3=3 east, -4-2=-6 south. So 6 south and 3 east.
Setting original location as (0,0). Gas station: (3E, 2N). City Hall: (6E, 4S). From gas station to City Hall: East: 6-3=3 east. North-south: 4S+2N=6 south. City Hall is 6 blocks south and 3 blocks east of the gas station.
Question 6: An officer enters from the south, walks north 40 feet, turns east 20 feet, turns south 15 feet, then east 10 feet. How far from the entrance?
- 25 north, 30 east (Correct answer)
- 40 north, 30 east
- 25 north, 10 east
- 15 north, 30 east
Correct answer: 25 north, 30 east
North: 40-15=25. East: 20+10=30. The officer is 25 feet north and 30 feet east.
North-south: 40 north minus 15 south = 25 net north. East-west: 20 east plus 10 east = 30 net east. Final position: 25 feet north, 30 feet east.
An officer at the northeast corner of an intersection sees a suspect flee west for 3 blocks, then turn south.
Where is the suspect relative to the officer?