Mensa IQ Test Mensa IQ Figure Series and Visual Patterns 8

Question 1

A sequence: [square with no corners cut] → [square with 1 corner cut, making a pentagon] → [square with 2 opposite corners cut, making a hexagon] → [square with 3 corners cut, making a heptagon] → [?].
What comes next?

Accepted Answer

Square with all 4 corners cut, making an octagon

Answer

Circle

Answer

Pentagon

Answer

Square with 1 corner cut

Question 2

A 3×3 matrix: cells contain black dots. The number of dots: Row 1: 1, 2, 3. Row 2: 2, 4, 6. Row 3: 3, 6, [?].

Accepted Answer

9

Answer

8

Answer

7

Answer

12

Question 3

A sequence of figures: each is a regular polygon with a dot at the center. The dot moves outward to the midpoint of one side each step, while the polygon gains one side. Figure 1: triangle, dot at center. Figure 2: square, dot at midpoint of bottom side. Figure 3: pentagon, dot at midpoint of bottom-right side. Figure 4: [?]

Accepted Answer

Hexagon with dot at the midpoint of the next clockwise side

Answer

Pentagon with dot at center

Answer

Hexagon with dot at a vertex

Answer

Square with dot at center

Question 4

A sequence of frames, each frame containing a different number of identical small triangles arranged in a triangular grid: Frame 1: 1 triangle. Frame 2: 3 triangles. Frame 3: 6 triangles. Frame 4: 10 triangles. Frame 5: [?]

Accepted Answer

15 triangles

Answer

12 triangles

Answer

14 triangles

Answer

16 triangles

Question 5

A figure sequence shows a horizontal bar chart (the bars are part of the figure). Step 1: one bar of height 1. Step 2: two bars, heights 1 and 2. Step 3: three bars, heights 1, 2, and 3. Step 4: [?]

Accepted Answer

Four bars with heights 1, 2, 3, and 4

Answer

Three bars with heights 2, 3, and 4

Answer

Four bars all the same height

Answer

Four bars with heights 1, 1, 2, and 3

Question 6

A 3×3 grid: each cell contains a shape (circle, square, or triangle) in one of three sizes (small, medium, large). No row or column repeats a shape OR a size. Row 1: small circle, medium square, large triangle. Row 2: medium triangle, large circle, small square. Row 3: large square, small triangle, [?].

Accepted Answer

Medium circle

Answer

Large circle

Answer

Small circle

Answer

Medium triangle

Question 7

A sequence shows figures made of unit squares (like Tetris pieces): Step 1: 1 square. Step 2: 3 squares in an L-shape. Step 3: 6 squares in a staircase. Step 4: 10 squares in a larger staircase. Step 5: [?]

Accepted Answer

15 squares

Answer

12 squares

Answer

14 squares

Answer

16 squares