Q5 — Compound rule (rotation + count)

Question (4 marks): A sequence of pentagons rotates 72° clockwise per step while internal dots follow the pattern 1, 2, 4, 8. (a) Identify the two rules. (b) Describe the 5th figure: orientation (in degrees from start) and dot count.

Mark scheme (4 marks):

• 1 mark: Rule 1 — rotation of 72° clockwise per step.
• 1 mark: Rule 2 — dots double each step (geometric, ×2).
• 1 mark: 5th figure orientation = 4 × 72° = 288° clockwise from start.
• 1 mark: 5th figure dot count = 16 dots.