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IMAS 2025–2026 Upper Primary — First Round Question 4

IMAS · IMAS 2025–2026 Upper Primary — First Round

Question 4

Five points are evenly spaced along the circumference of a circle. Starting from any point, line segments are drawn to connect each point exactly once before returning to the starting point, forming a 5-sided polygon. One such polygon is shown in the diagram below.
Question illustration
Including the example shown above, how many different polygons can be drawn using these five points?
  1. 3
  2. 4
  3. 10
  4. 11
  5. 12