Mathematics 0580 · IGCSE · Scale drawings

Scale drawings — practice question

The scale diagram places town A, town B and town C on a map. A direct road links town A and town B. The map scale is 1 centimetre represents 8 kilometres.
(a)[1]

Measure the bearing from town B to town A.

(b)[2]

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

(c)[1]

Write the map scale in the form $1 : n$.

(d)[1]

On the map, draw the road linking town C to point X. Mark the position of X.

(e(i))[1]

Work out the time at which she arrives at town B.

(e(ii)(a))[3]

Work out how long this journey takes. Give your answer in hours and minutes, correct to the nearest minute.

(e(ii)(b))[1]

Work out when Sammy must leave town A.

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