4MA0 Foundation June 2015 Paper 1R Q15
15 Each exterior angle of a regular polygon is 15°
(a) How many sides has the regular polygon? (2)
The diagram shows 3 identical regular pentagons.
Diagram NOT accurately drawn
(b) Work out the value of \(y\). (3)
| Scheme | Marks |
|---|---|
360 ÷ 15 or \(\dfrac{(n - 2)180}{n} = 180 - 15\) oe | M1 |
| 24 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| 3 × 180/5 or (180 – 360 ÷ 5) (= 108) | M1 |
| 360 – 3 × “108” | M1 |
| 36 | A1 |
| (3) | |
| Total 5 marks |
Notes
M1: must be no contradiction on diagram or in working
M1: dep
Alternative for (b)
| Scheme | Marks |
|---|---|
| 360/5 (= 72) | M1 |
| (180 – “72” × 2) | M1 |
| 36 | A1 |
Notes
M1: must be no contradiction on diagram or in working
M1: dep