APT APT Spatial Reasoning and Visualization 2 — Questions and Answers
Question 1: You are at Point X, facing East. You turn left 90 degrees. Which direction are you now facing?
- East
- West
- North (Correct answer)
- South
Correct answer: North
Facing East and turning left (counterclockwise) 90 degrees results in facing North.
Question 2: If a map scale is 1:50,000, what does 1 centimeter on the map represent in real life?
- 500 meters (Correct answer)
- 1,000 meters
- 5,000 meters
- 50,000 meters
Correct answer: 500 meters
1:50,000 scale means 1 cm = 50,000 cm = 500 meters in real life.
Question 3: A shape has 4 equal sides and 4 right angles. What shape is it?
- Rectangle
- Rhombus
- Square (Correct answer)
- Parallelogram
Correct answer: Square
A square has exactly 4 equal sides AND 4 right angles — distinguishing it from a rhombus or rectangle.
Question 4: How many edges does a cube have?
- 8
- 10
- 12 (Correct answer)
- 14
Correct answer: 12
A cube has 12 edges: 4 on the top face, 4 on the bottom face, and 4 connecting them vertically.
Question 5: A soldier walks 3 miles North, then 4 miles East. How far is she from her starting point?
- 5 miles (Correct answer)
- 6 miles
- 7 miles
- 8 miles
Correct answer: 5 miles
Using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 miles.
Question 6: Which of the following shapes has the GREATEST number of sides?
- Pentagon
- Hexagon
- Octagon (Correct answer)
- Heptagon
Correct answer: Octagon
An octagon has 8 sides, which is more than a pentagon (5), hexagon (6), or heptagon (7).
You are at Point X, facing East.
You turn left 90 degrees.
Which direction are you now facing?