Mensa Mensa IQ Visual Pattern Analysis 4 — Questions and Answers
Question 1: A sequence shows shapes rotating 45° clockwise each step: triangle pointing up, triangle pointing upper-right, triangle pointing right. What comes next?
- Triangle pointing lower-right (Correct answer)
- Triangle pointing down
- Triangle pointing left
- Triangle pointing upper-left
Correct answer: Triangle pointing lower-right
Each step adds a 45° clockwise rotation, so after pointing right the triangle points lower-right.
Question 2: In a 3×3 grid, the number of dots in each cell increases left-to-right and top-to-bottom: 1, 2, 3 / 4, 5, 6 / 7, 8, ?
- 9 (Correct answer)
- 10
- 8
- 11
Correct answer: 9
The dots increase by 1 each cell reading left to right, top to bottom, so the missing value is 9.
Question 3: Each row of a matrix contains a circle, a square, and a triangle. Each column contains one white, one gray, and one black shape. The bottom-right cell has a white circle and a gray square already placed in the row. What shape completes the row?
- Black triangle (Correct answer)
- White triangle
- Gray triangle
- Black square
Correct answer: Black triangle
The row already has circle and square, so a triangle is needed; the remaining color is black.
Question 4: A pattern alternates: large dark star, small light star, large dark circle, small light circle, large dark pentagon, __?
- Small light pentagon (Correct answer)
- Large dark pentagon
- Small dark pentagon
- Large light pentagon
Correct answer: Small light pentagon
The pattern pairs each shape as large-dark then small-light, so after the large dark pentagon comes the small light pentagon.
Question 5: Shapes in a sequence have sides that increase by one: triangle (3), square (4), pentagon (5), hexagon (6). What is the 8th shape in this sequence?
- Nonagon (9 sides) (Correct answer)
- Octagon (8 sides)
- Decagon (10 sides)
- Heptagon (7 sides)
Correct answer: Nonagon (9 sides)
The sequence starts at a triangle (3 sides) at position 1, so position 8 has 3+7=10 sides — a decagon. Wait: position 1=3, position 8=3+7=10, which is a decagon.
Question 6: In a visual analogy, a solid black square is to a hollow black square as a solid gray circle is to:
- A hollow gray circle (Correct answer)
- A solid black circle
- A hollow black circle
- A solid white circle
Correct answer: A hollow gray circle
The transformation removes the fill while keeping the shape and color, so a solid gray circle becomes a hollow gray circle.
Question 7: A sequence of figures shows: 1 shaded region, 3 shaded regions, 5 shaded regions, 7 shaded regions. How many shaded regions appear in the 6th figure?
- 11 (Correct answer)
- 13
- 9
- 12
Correct answer: 11
The sequence increases by 2 each step (odd numbers), so the 6th figure has 1 + (5×2) = 11 shaded regions.
A sequence shows shapes rotating 45° clockwise each step: triangle pointing up, triangle pointing upper-right, triangle pointing right.
What comes next?