Higher November 2023 Paper 2 Q14
14 Use a ruler and compasses in this question.
The scale diagram shows port \(P\) and lighthouse \(Q\).
Scale: 1 cm represents 2 km
A ship is
less than 14 km from \(P\)
and
closer to \(Q\) than to \(P\).
Label the region, R, where the ship could be.
Show all your construction lines. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Arc, centre \(P\), radius [6.8, 7.2] cm | B1 | from use of compasses, mark intention |
| Two intersections from arcs with equal radii, centres \(P\) and \(Q\) | M1 | tolerance 2 mm |
| Perpendicular bisector of \(PQ\) with M1 seen | A1 | |
| Correct region shown (arcs for bisector not required) | B1 | allow any clear indication of region |
Additional guidance
| Arc, centre \(P\), radius [6.8, 7.2] cm and correct region indicated but arcs for bisector not seen | B1M0A0B1 |
| For A1 the perpendicular bisector of PQ must be long enough to provide the straight boundary of the correct region | |
| Ignore redundant or incorrect lines/arcs |