Mensa Mensa IQ Spatial and Abstract Reasoning Questions and Answers 5 — Questions and Answers
Question 1: If you unfold a cube into a cross-shaped net, how many total squares does the net contain?
- 4
- 6 (Correct answer)
- 8
- 5
Correct answer: 6
A cube has 6 faces, so any valid net consists of exactly 6 squares.
Question 2: In a matrix: Row 1 = [2, 4, 8], Row 2 = [3, 9, 27], Row 3 = [4, 16, ?]. What is the missing value?
- 32
- 64 (Correct answer)
- 48
- 56
Correct answer: 64
Each row follows the pattern n, n², n³, so Row 3 gives 4, 16, 64.
Question 3: A shape has rotational symmetry of order 6. Through how many degrees must it be rotated for the first match with its original position?
- 30°
- 60° (Correct answer)
- 45°
- 90°
Correct answer: 60°
Order-6 rotational symmetry means the shape matches itself every 360°/6 = 60°.
Question 4: Which word does NOT belong with the others: Cylinder, Sphere, Cone, Hexagon, Cube?
- Cylinder
- Cube
- Hexagon (Correct answer)
- Cone
Correct answer: Hexagon
A hexagon is a 2D polygon, while all others are 3D solid shapes.
Question 5: A sequence of arrows points: Up, Right, Down, Left, Up, Right, Down, Left, Up, ?
- Up
- Right (Correct answer)
- Down
- Left
Correct answer: Right
The cycle (Up, Right, Down, Left) repeats every 4 terms; the 10th term is Right.
Question 6: Two identical overlapping circles each have radius 5 cm, with their centers 6 cm apart. The overlapping region is a lens shape. Which pair of angles forms the lens at each center?
- 60° each
- None — the lens angle is ~106° (Correct answer)
- 90° each
- 120° each
Correct answer: None — the lens angle is ~106°
Using the triangle formed by the two centers and an intersection point, the central angle is approximately 106°.
Question 7: In a 4×4 grid numbered 1–16 left-to-right, top-to-bottom, which number is directly below 7?
- 8
- 11 (Correct answer)
- 12
- 10
Correct answer: 11
In a 4-column grid, moving one row down adds 4: 7 + 4 = 11.
Mensa Mensa IQ Spatial and Abstract Reasoning Questions and Answers 5
If you unfold a cube into a cross-shaped net, how many total squares does the net contain?