1MA0 Higher June 2012 Paper 1 Q13
13
Diagram NOT accurately drawn
The diagram shows a regular hexagon and a regular octagon.
Calculate the size of the angle marked \(x\).
You must show all your working. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| 180 – (360 ÷ 6) = 120 180 – (360 ÷ 8) = 135 360 – 120 – 135 = OR 360 ÷ 6 = 60 360 ÷ 8 = 45 60 + 45 = | 105 | 4 | NB. Do remember to look at the diagram when marking this question. Looking at the complete method should confirm if interior or exterior angles are being calculated M1 for a correct method to work out the interior angle of a regular hexagon eg. 180 – (360 ÷ 6) oe or (6 - 2)×180 ÷ 6 oe or 120 as interior angle of the hexagon M1 for a correct method to work out the interior angle of a regular octagon 180 – (360 ÷ 8) oe or (8 - 2)×180 ÷ 8 oe or 135 as interior angle of the octagon M1 (dep on at least M1) for a complete method eg. 360 – “120” – “135” A1 cao OR M1 for a correct method to work out an exterior angle of a regular hexagon eg. 360 ÷ 6 or 60 as exterior angle of the hexagon M1 for a correct method to work out an exterior angle of a regular octagon 360 ÷ 8 or 45 as exterior angle of the octagon M1 (dep on at least M1) for a complete method eg. “60” + “45” A1 cao SC : B1 for answer of 255 |