Mathematics 0580 · IGCSE · Scale drawings

Scale drawings — practice question

The scaled sketch plots the locations of an airport (A) and a train station (T) on a map. 1 centimetre on the scale stands for 2 kilometres. The diagram includes a straight segment from T to A, with a north arrow at both T and A. The scale written on the diagram is: Scale: 1 cm to 2 km.
(a)[2]

Find the actual distance, in kilometres, between the train station and the airport.

(b)[1]

Find the bearing of the airport from the train station.

(c)[2]

Using only a straight edge and compasses, construct the road’s position on the map. Leave all construction arcs visible.

(d)[4]

On the map, indicate the two possible positions of Krishna’s house. Label each point $K$.

(e)[2]

Find the bearing of the train station from the bus station.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: 19.2\text{ km}

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