Foundation November 2022 Paper 2 Q16
16 The diagram shows part of a regular 12-sided polygon.
Not to scale

For this polygon, find the ratio of the size of one exterior angle to the size of one interior angle.
Give your answer in its simplest form.
You must show your working.
.................... : .................... [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 1 : 5 with correct working | 5 | M1 for \(360 \div 12\) or \(\dfrac{(12 - 2) \times 180}{12}\) oe A1 for 30 or 150 AND M1 for their interior + their exterior = 180 A1 for 30 and 150 If 0 or 1 scored, instead award SC2 for answer 1 : 5 with no or insufficient working If 0 scored, instead award SC1 for \(k : 5k\) or for answer 5 : 1 or for 30 and 150 with no or insufficient working | “Correct working” requires evidence of at least one pair of M1A1 30 and/or 150 could be on the diagram Where \(k \gt 1\) and an integer |