O-LevelMathematicsGeometry4024/12 · Oct/Nov 2014 · Q244 Marks
The diagram shows the positions, on a map, of three boats A, B and C. The map has a scale of 1 cm to 1 km. [Figure 24.1]
- (a)Find the bearing of B from A.[1]
- (b)A fourth boat, D, is • closer to B than to A, • less than 4 km from C. By drawing appropriate loci find, and shade, the region in which D is situated.[3]
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 2014). The mark or mark type is shown in brackets.
- [1] (a) 137° to 140° inclusive
- [1] (b) (i) perp. bisector of AB
- [1] (ii) circle, centre C, radius 4 cm
- [1] (iii) correct region (bottom part) shaded
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