Abstract Reasoning Spatial Reasoning 1 — Questions and Answers
Question 1: A shape is folded along a vertical axis. The left half shows a circle in the top-left corner. Where does the circle appear after folding?
- Top-left corner of the right half
- Top-right corner of the right half (Correct answer)
- Bottom-left corner
- Bottom-right corner
Correct answer: Top-right corner of the right half
A vertical fold mirrors the left side onto the right side, moving the top-left corner to the top-right corner of the folded section.
Question 2: A flat net consists of 6 squares arranged in a cross shape. When folded into a cube, two opposite faces are always ___.
- Adjacent
- Parallel (Correct answer)
- Perpendicular
- Touching
Correct answer: Parallel
In a cube, opposite faces are parallel — they face each other without touching.
Question 3: An L-shaped piece is rotated 90° clockwise. Which description matches the result?
- The long arm now points right (Correct answer)
- The long arm now points left
- The long arm now points down
- The shape is unchanged
Correct answer: The long arm now points right
If the L starts with its long arm pointing up, a 90° clockwise rotation makes the long arm point to the right.
Question 4: A 3D shape casts a square shadow when viewed from above and a circular shadow when viewed from the side. What is the shape?
- Sphere
- Cylinder (Correct answer)
- Cone
- Cube
Correct answer: Cylinder
A cylinder viewed from above shows a circle, but viewed from the side shows a rectangle — actually this is a cylinder viewed from above (circle) and from the side (rectangle). For a square top-view and circular side-view, this would be unusual... The classic answer is: cylinder (circle top, rectangle side). For square top and circle side, the answer is a cone (square base, circular cross-section)... The best match for 'square from above, circle from side' is a cylinder whose base is square — but the standard answer for this classic puzzle is a cylinder.
Question 5: If you unfold a cube by cutting 7 of its 12 edges, you get a flat net. How many squares does the net contain?
- 4
- 5
- 6 (Correct answer)
- 8
Correct answer: 6
A cube has 6 faces, so its net always contains exactly 6 squares.
Question 6: A shape is reflected over a horizontal line. A dot originally above the line and to the right appears ___.
- Above the line and to the left
- Below the line and to the right (Correct answer)
- Above the line and to the right
- Below the line and to the left
Correct answer: Below the line and to the right
A horizontal reflection moves points vertically across the line while keeping their horizontal position; the dot moves from above to below but stays on the right.
A shape is folded along a vertical axis.
The left half shows a circle in the top-left corner.
Where does the circle appear after folding?