Mensa Mensa IQ Spatial and Abstract Reasoning 2 — Questions and Answers
Question 1: Which shape comes next in the series: triangle, square, pentagon, hexagon, ...?
- Heptagon (7 sides) (Correct answer)
- Octagon (8 sides)
- Circle
- Another hexagon
Correct answer: Heptagon (7 sides)
Each shape adds one side, so the next has seven sides — a heptagon.
Question 2: A cube is painted red on all faces, then cut into 27 equal smaller cubes. How many small cubes have exactly one painted face?
- 6 (Correct answer)
- 8
- 12
- 1
Correct answer: 6
The center cube of each of the 6 faces has exactly one painted side.
Question 3: If a clock's hands form a right angle at 3:00, at what other listed time do they also form a 90-degree angle?
- 9:00 (Correct answer)
- 6:00
- 12:00
- 4:30
Correct answer: 9:00
At 9:00 the hour and minute hands are again separated by exactly 90 degrees.
Question 4: Which figure is the odd one out: a circle, an oval, a square, and an ellipse?
- Square (Correct answer)
- Circle
- Oval
- Ellipse
Correct answer: Square
The square has straight edges and corners while the others are curved closed loops.
Question 5: A piece of paper folded in half twice and then cut once will, when unfolded, show how many identical holes if the cut crosses one folded layer fully?
- 4 (Correct answer)
- 2
- 1
- 8
Correct answer: 4
Folding twice creates four layers, so a single cut produces four holes.
Question 6: Rotating the letter 'b' 180 degrees in the plane produces which letter?
- q (Correct answer)
- d
- p
- b
Correct answer: q
A 180-degree rotation flips 'b' both horizontally and vertically to form 'q'.
Question 7: Complete the analogy: Square is to Cube as Circle is to ...?
- Sphere (Correct answer)
- Cylinder
- Cone
- Disc
Correct answer: Sphere
A cube is the 3D form of a square, just as a sphere is the 3D form of a circle.
Which shape comes next in the series: triangle, square, pentagon, hexagon, ...?