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Higher June 2018 Paper 1 Q9

EduqasHigherCurrent spec5 marksConstructions

9. The scale diagram below shows a railway station P and two hilltops, A and B.
Two new stations are to be built at R and S.

(a) Station R is to be
  • no more than 6 km from P and
  • the same distance away from A as it is from B.

Using a ruler and a pair of compasses, show accurately on the diagram all the positions where station R may be built.

Scale: 1 cm represents 1 km. [4]

Scale diagram showing three points: A at upper left, B to the right of and slightly below A, and P below A

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.

(b) A train travelling between station R and station S will always be the same distance away from A as it is from B.
When the train arrives at station S, it will be as near as possible to hilltop A.

Mark the position of station S on the diagram in part (a). [1]

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