O-LevelMathematicsGeometry4024/12 · Oct/Nov 2020 · Q174 Marks
The diagram shows the positions of three boats A, B and C.
- (a)By measurement, find the bearing of B from A.[1]
- (b)(i)Using compasses and a straight edge only, construct the locus of points inside triangle ABC that are equidistant from B and C.[2]
- (b)(ii)A ship is • nearer to AC than to BC and • nearer to C than to B. Shade the region in which this ship is situated.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] 17(a) 328° to 332°
- [2] 17(b)(i) Acceptable perpendicular bisector of BC with two pairs of correct arcs
- B1 for an acceptable perpendicular bisector with no/incorrect arcs
- [1] 17(b)(ii) Correct (bottom left) region shaded
- FT their (b)(i), dep on attempt at perpendicular bisector
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