Higher June 2018 Paper 2 Q14
14 The scale drawing represents a garden.
Water from a sprinkler at \(P\) reaches up to 20 metres from \(P\).
Water from a sprinkler at \(Q\) reaches up to 25 metres from \(Q\).
Scale: 1 cm represents 5 m
Using a pair of compasses,
show the region that water from both sprinklers reaches. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Arc radius [3.8, 4.2] cm centre \(P\) or arc radius [4.8, 5.2] cm centre \(Q\) | M1 | only need arcs within tolerance for the correct region ignore other lines M1 arc radius [3.8, 4.2] cm centre \(Q\) and arc radius [4.8, 5.2] cm centre \(P\) and correct ft region identified |
| Arc radius [3.8, 4.2] cm centre \(P\) and arc radius [4.8, 5.2] cm centre \(Q\) and region identified | A1 | only need arcs within tolerance for the correct region ignore other lines |
Additional guidance
| Arcs may go outside the rectangle | |
| Allow any unambiguous indication of the region eg labelled R or appropriate shading | |
| Do not accept highlighting the perimeter of the region for identification of the region | |
 | M1A1 |