Higher June 2025 Paper 1 Q3
3
Diagram NOT accurately drawn
\(AB\) and \(BC\) are two sides of a regular polygon with \(n\) sides.
Work out the value of \(n\)
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| eg 360 – (148 + 50) (= 162) or 180 – 50 (= 130) or 180 – 148 (= 32) | M1 |
| eg 180 – “162” (= 18) or 148 – “130” (= 18) or 50 – “32” (= 18) or eg 180(\(n\) – 2) = “162”\(n\) or 180(\(n\) – 2) ÷ \(n\) = “162” | M1 |
| eg 360 ÷ “18” or eg (\(n\) =) 360 ÷ (180 − “162”) | M1 |
| Working required Answer: 20 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for method to interior angle of the polygon or start to the method of finding the exterior angle of the polygon
M1: for method to find the exterior angle or for setting up an equation using sum of interior angles formula
M1: for a complete method
A1: dep on M1