Higher November 2021 Paper 6 Q7
7 The scale drawing represents a park, ABCD.
Scale: 1 cm represents 10 m
A straight path goes across the park from B.
The path is always the same distance from side AB and side BC.
(a) Construct the route followed by the path.
Show all your construction lines. [2]
Show all your construction lines. [2]
(b) A bench is to be placed on the path.
The bench must be no more than 50 m from C.
The bench must be no more than 50 m from C.
Construct the locus of the possible positions of the bench.
Indicate clearly on the diagram where the bench can be placed. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Ruled bisector of angle ABC to reach CD with construction arcs | 2 | B1 for correct ruled bisector at least 2 cm long by eye with no construction arcs or correct construction arcs with no/wrong bisector drawn | Tolerance ±2° Construction arcs on AB and on BC and two intersecting arcs from these |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Arc, centre C, radius 5 cm, intersecting their line twice or intersecting BC and CD or two points marked on their line that are 5 cm from C | 2 | B1 for any arc, centre C, intersecting their line at least once or intersecting BC or CD or a short arc (at least 1 cm), centre C, radius 5 cm | Tolerance 4.8 cm to 5.2 cm Max B1 for freehand, all within template |
| Locus of line within arc from C rad indicated | 1dep | Dep on at least B1 in (a) and B1 in (b) | |