O-LevelMathematicsGeometry4024/11 · Oct/Nov 2023 · Q125 Marks
The scale drawing shows the positions of two boats A and B. The scale is 1:20000. [Figure Scale Drawing]
- (a)Find the actual distance of boat A from boat B in kilometres.[2]
- (b)Using compasses and a straight edge only, construct the locus of points that are equidistant from A and B.[2]
- (c)A ship, S, is equidistant from A and B. S is on a bearing of 105° from A. Mark and label the position of S on the scale drawing.[1]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [2] (a) 1.76 to 1.84
- [2] B1 for line measured as 8.8 [cm] to 9.2 [cm] or M1 for their distance in cm written and their answer is 0.2 × this value If 0 scored, SC1 for answers 176 000 to 184 000
- [2] (b) Acceptable bisector of AB with correct arcs
- [2] B1 for acceptable bisector with no/incorrect arcs
- [1] (c) S marked on a bearing of 105° from A and on their bisector
- [1] Dependent on their attempt at bisector crossing AB
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