Higher November 2023 Paper 2 Q9
9. The diagram below shows a scale drawing of Amy’s garden.
The garden is enclosed by a fence, a patio, a hedge, and a wall.
In Amy’s garden there is a tap, a bird house and a water feature.
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
Amy is going to spread grass seed on part of her garden.
The grass seed will be spread over the region that satisfies the following conditions:
- at least 8 metres from the water feature
- nearer to the bird house than the tap
- nearer to the hedge than the wall.
On the diagram, clearly indicate the region that is to be spread with grass seed.
You must use a ruler and a pair of compasses to construct suitable arcs and lines. [6]
| Scheme | Marks | Comments |
|---|---|---|
| A circle with a radius of 4 cm centred at the water feature. | B1 | |
| Correct perpendicular bisector construction with appropriate arcs. | B2 | B1 for perpendicular bisector within tolerance (\(\pm\,2^\circ\)) without arcs or with invalid arcs or for a correct pair of arcs that intersect twice. |
| Correct angle bisector construction with appropriate arcs. | B2 | B1 for angle bisector within tolerance (\(\pm\,2^\circ\)) without arcs or with invalid arcs or for a correct pair of arcs. |
| Correct area clearly indicated. | B1 | FT provided at least B1, B1, B1 previously awarded. |
| (6) |