Mathematics 0580 · IGCSE · Scale drawings

Scale drawings — practice question

The scale sketch shows villages A and B, linked by a straight road. The scale is 2 centimetres represents 1 kilometre. The sketch includes village A with a North arrow pointing upward, village B with a North arrow pointing upward, and a straight line joining A to B.
(a(i))[2]

Work out the distance, in kilometres, between A and B.

(a(ii))[1]

Find the bearing of B from A.

(b)[2]

On the diagram, mark and label where C should be placed.

(c)[2]

Construct the perpendicular bisector for $AB$.

(d)[3]

On the diagram, shade the region where the school has to be.

(e)[3]

Work out when he reaches the nearest town.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: 4.8 km.

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