Mathematics 0580 · IGCSE · Scale drawings

Scale drawings — practice question

The figure depicts a rectangle together with two semicircles whose diameters are $AC$ and $BD$. It is a scale drawing of a running track. $AC = BD = 60$ m $AB = CD = 120$ m.
(a(i))[2]

Complete the statement. 1 centimetre stands for [BLANK] metres.

(a(ii))[3]

Calculate the full length of the running track in metres.

(a(iii))[3]

Calculate how long she takes to go once round the track. Give your answer in minutes and seconds, correct to the nearest second.

(b(i))[2]

Calculate how many laps he can finish in one hour.

(b(ii))[3]

Calculate the smallest number of laps each of them completes before both are back at point $A$ together.

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