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

One corner is cut per step, adding one side each time (4→5→6→7→8 sides).

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

Each cell value = (row number) × (column number); cell (3,3) = 3×3 = 9.

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

The polygon gains one side each step and the dot moves clockwise to the next side's midpoint.

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

The counts are triangular numbers (1, 3, 6, 10, 15) — each step adds one more triangle than the last.

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

Each step adds one new tallest bar while keeping all previous bars; step 4 has bars of height 1, 2, 3, and 4.

Mensa Practice Test Practice Test

Mensa Practice Test Practice Test

Mensa IQ Test Mensa IQ Figure Series and Visual Patterns 8