Higher November 2019 Paper 1 Q8
8 The accurate scale drawing shows the positions of port \(P\) and a lighthouse \(L\).
Aleena sails her boat from port \(P\) on a bearing of \(070^\circ\)
She sails for \(1\dfrac{1}{2}\) hours at an average speed of 12 km/h to a port \(Q\).
Find
(i) the distance, in km, of port \(Q\) from lighthouse \(L\),
(ii) the bearing of port \(Q\) from lighthouse \(L\). (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| (i) Distance in the range 20 to 23 (ii) Bearing in the range 317 to 330 | P1 | for a process to draw a bearing of \(070^\circ\), eg. a line drawn \(70^\circ\) from the North line at \(P\) |
| P1 | for a process to work out the distance \(PQ\), eg. \(12 \times 1.5\ (= 18)\) | |
| P1 | (dep previous P1) for the process to use the given scale, eg. \(\text{``}18\text{''} \div 4\ (= 4.5\text{ cm})\) | |
| A1 | (dep P3) for distance in the range 20 to 23 | |
| A1 | (dep P3) for bearing in the range 317 to 330 |
Additional guidance
Accept a line of any length as long as the intention is clear.
Award P3 for \(Q\) shown in the correct place on the diagram.
4.5 scores 2 marks provided there is a link to \(12 \times 1.5\ (= 18)\)
Award no marks if no supportive processes
Award A0A0 if \(Q\) is not in the correct place