Mensa Spatial Reasoning 4 — Questions and Answers
Question 1: A clock face is reflected in a mirror. The reflected clock appears to show 10:10. What is the actual time?
- 1:50 (Correct answer)
- 2:10
- 1:10
- 2:50
Correct answer: 1:50
A clock reflection maps time T to 12:00 − T, so 12:00 − 10:10 = 1:50.
Question 2: An object casts a square shadow from above, a triangular shadow from the side, and a circular shadow from the front. What shape could the object be?
- A cylinder
- A cone with a square base (Correct answer)
- A sphere
- A cube
Correct answer: A cone with a square base
A square-based cone viewed from above is square, from the side is triangular, and from the front (tilted) can appear circular.
Question 3: In a sequence of figures, each step forms an n×n grid of dots where n matches the figure number. How many dots are in the 7th figure?
- 49 (Correct answer)
- 42
- 28
- 36
Correct answer: 49
The 7th figure is a 7×7 grid, giving 7 × 7 = 49 dots.
Question 4: A 3D staircase block ascending left to right (3 steps) is viewed from the right side. What silhouette is seen?
- Three steps ascending
- A solid rectangle (Correct answer)
- A triangle
- An L-shape
Correct answer: A solid rectangle
The right side view of an ascending staircase shows a solid rectangle because the steps stack to fill the full height.
Question 5: A regular hexagon is divided by drawing lines from its center to each of the 6 vertices. How many equilateral triangles are created?
- 6 (Correct answer)
- 12
- 8
- 9
Correct answer: 6
Drawing lines from the center to all 6 vertices of a regular hexagon creates exactly 6 equilateral triangles.
Question 6: You are facing North. You turn 135° clockwise, then 90° counter-clockwise. Which direction are you now facing?
- South-East
- North-East (Correct answer)
- South-West
- East
Correct answer: North-East
From North (0°): +135° clockwise = 135° = South-East; then −90° counter-clockwise = 45° = North-East.
Question 7: A cube has its top face blue, bottom red, front green, back yellow, left white, and right black. If the cube is tilted forward 90° (green face rises to top), which face now faces front?
- Red (Correct answer)
- Blue
- Yellow
- White
Correct answer: Red
Tilting the cube forward 90° brings the red (bottom) face up to the front position.
Mensa Spatial Reasoning 4
A clock face is reflected in a mirror.
The reflected clock appears to show 10:10.
What is the actual time?