Mensa Mensa IQ Spatial and Abstract Reasoning 3 — Questions and Answers
Question 1: In the number series 2, 6, 12, 20, 30, what comes next?
- 42 (Correct answer)
- 40
- 36
- 44
Correct answer: 42
Differences increase by 2 each time (4,6,8,10,12), so 30+12 = 42.
Question 2: Which mirror image correctly reflects the letter 'E' across a vertical line?
- Ǝ (reversed E) (Correct answer)
- E unchanged
- W
- M
Correct answer: Ǝ (reversed E)
A vertical mirror flips 'E' left-to-right into a backwards 'Ǝ'.
Question 3: An unfolded cube net shows six squares in a cross shape. When folded, the square opposite the center bottom face is which?
- The top arm of the cross (Correct answer)
- An adjacent side arm
- The center square
- Two faces away on the left
Correct answer: The top arm of the cross
In a cross net, the top arm folds to become directly opposite the bottom face.
Question 4: Which item does not belong: triangle, pyramid, cube, sphere?
- Triangle (Correct answer)
- Pyramid
- Cube
- Sphere
Correct answer: Triangle
The triangle is two-dimensional while the others are 3D solids.
Question 5: If you stack three identical cubes in a vertical column, how many faces are completely hidden from view?
- 4 (Correct answer)
- 2
- 6
- 3
Correct answer: 4
Each of the two contact joints hides two faces, totaling four hidden faces.
Question 6: Complete the pattern: ◯ ◯◯ ◯◯◯ ◯◯◯◯ ...?
- ◯◯◯◯◯ (five circles) (Correct answer)
- ◯◯◯ (three circles)
- ◯ (one circle)
- ◯◯◯◯◯◯ (six circles)
Correct answer: ◯◯◯◯◯ (five circles)
Each group grows by one circle, so the next group has five.
Question 7: A shape has rotational symmetry of order 4. Through how many degrees must it turn to look identical again at the smallest angle?
- 90 (Correct answer)
- 45
- 180
- 120
Correct answer: 90
Order 4 symmetry means 360 divided by 4, which equals 90 degrees.
Mensa Mensa IQ Spatial and Abstract Reasoning 3
In the number series 2, 6, 12, 20, 30, what comes next?