APT APT Spatial Reasoning and Visualization 1 — Questions and Answers
Question 1: A square piece of paper is folded in half diagonally and then cut once through the middle. How many pieces of paper result when unfolded?
- 2 pieces
- 3 pieces (Correct answer)
- 4 pieces
- 5 pieces
Correct answer: 3 pieces
Folding diagonally and cutting through the middle produces 3 separate pieces when unfolded.
Question 2: If you are facing North and turn 180 degrees clockwise, which direction are you now facing?
- East
- West
- South (Correct answer)
- North
Correct answer: South
A 180-degree turn from North (in any direction) results in facing South.
Question 3: A cube has 6 faces. If each face is a different color, how many faces can you see at one time from a single viewpoint?
- 1
- 2
- 3 (Correct answer)
- 4
Correct answer: 3
From a single viewpoint of a cube, a maximum of 3 faces are visible at once (a corner view).
Question 4: On a military map, you are at grid reference A. The target is directly East. Which direction do you move to reach it?
- Up the map
- Down the map
- Left on the map
- Right on the map (Correct answer)
Correct answer: Right on the map
On standard military maps, East is always to the right side of the map.
Question 5: A rectangular box measures 4 ft × 3 ft × 2 ft. What is its volume?
- 18 cubic feet
- 20 cubic feet
- 24 cubic feet (Correct answer)
- 26 cubic feet
Correct answer: 24 cubic feet
Volume = length × width × height = 4 × 3 × 2 = 24 cubic feet.
Question 6: Which 3D shape has exactly 5 faces?
- Cube
- Tetrahedron
- Triangular prism
- Rectangular pyramid (Correct answer)
Correct answer: Rectangular pyramid
A rectangular (square) pyramid has 4 triangular faces and 1 rectangular base = 5 faces total.
A square piece of paper is folded in half diagonally and then cut once through the middle.
How many pieces of paper result when unfolded?