Mensa IQ Test Mensa IQ Figure Series and Visual Patterns 7 — Questions and Answers
Question 1: A sequence of figures: each shows two shapes; in each step one shape stays and a new one is added. Figure 1: circle. Figure 2: circle + square. Figure 3: square + triangle. Figure 4: triangle + pentagon. Figure 5: [?]
- Pentagon + hexagon (Correct answer)
- Pentagon + circle
- Hexagon + circle
- Triangle + hexagon
Correct answer: Pentagon + hexagon
Each figure drops the first shape and adds the next polygon in the sides sequence; after pentagon comes hexagon.
Question 2: A 3×3 matrix of arrows. Row 1: →, ↓, ←. Row 2: ↑, →, ↓. Row 3: ←, ↑, [?]. What direction fills the missing cell?
- → (Correct answer)
- ↓
- ←
- ↑
Correct answer: →
Each row and each column contains all four directions; the missing cell must be → (right) as it is absent from row 3 and column 3.
Question 3: A figure sequence: each step the number of line segments in the figure doubles and the figure gains a new axis of symmetry. Step 1: a single horizontal line (1 segment). Step 2: plus sign (4 segments, 2 axes). Step 3: star/asterisk (8 segments, 4 axes). Step 4: [?]
- 16-segment starburst with 8 axes of symmetry (Correct answer)
- 8-segment figure with 3 axes
- Square with 4 lines inside
- 12-segment figure
Correct answer: 16-segment starburst with 8 axes of symmetry
Segments double each step (1→4→8→16) and symmetry axes double (1→2→4→8).
Question 4: A pattern shows figures inside a frame. Frame 1: one large circle filling the frame. Frame 2: four medium circles (2×2) filling the frame. Frame 3: nine small circles (3×3) filling the frame. Frame 4: [?]
- Sixteen tiny circles (4×4) filling the frame (Correct answer)
- Eight circles in two rows
- One very small circle
- Twenty-five circles in a 5×5 grid
Correct answer: Sixteen tiny circles (4×4) filling the frame
The arrangement is n×n circles where n increases by 1 each step (1→4→9→16), so frame 4 has a 4×4 grid of 16 circles.
Question 5: A sequence of 5 figures, each a rectangle: Figure 1 is tall and narrow. Each subsequent figure gets shorter and wider, area remaining constant. Figures 1–4 represent rectangles of sizes 1×8, 2×4, 4×2, 8×1. Figure 5 is [?].
- 16 wide × 0.5 tall (Correct answer)
- 8 wide × 2 tall
- 4 wide × 4 tall
- 1 wide × 8 tall
Correct answer: 16 wide × 0.5 tall
Width doubles and height halves each step, maintaining constant area; after 8×1 comes 16×0.5.
Question 6: A sequence shows a 3×3 grid with numbers replaced by shapes for visual counting: Row 1 totals: 3 elements. Row 2 totals: 5 elements. Row 3 totals: 7 elements. Each row, how many elements does the next row add?
- 2 more than the previous row (Correct answer)
- 3 more than the previous row
- 1 more than the previous row
- Twice as many as the previous row
Correct answer: 2 more than the previous row
The totals form an arithmetic sequence with a common difference of 2 (3, 5, 7, 9...).
Question 7: A visual sequence of 5 figures shows a shaded region inside a circle: 0% shaded → 25% shaded → 50% shaded → 75% shaded → [?].
- 100% shaded (fully black circle) (Correct answer)
- 50% shaded
- 25% shaded
- 0% shaded (back to white)
Correct answer: 100% shaded (fully black circle)
The shaded area increases by 25% (one quarter) per step, reaching fully shaded at step 5.
Mensa IQ Test Mensa IQ Figure Series and Visual Patterns 7
A sequence of figures: each shows two shapes; in each step one shape stays and a new one is added.
Figure 1: circle.
Figure 2: circle + square.
Figure 3: square + triangle.
Figure 4: triangle + pentagon.
Figure 5: [?]