Mathematics 0580 · IGCSE · Scale drawings

Scale drawings — practice question

The timetable section below is for a bus service. Town Hall: 10 15, 10 35, 10 55, 11 15 City Gate: 10 32, 10 52, 11 12, 11 32 Beacon Hill: 10 58, 11 18, 11 38, 11 58 Kingswood Park: 11 10, 11 30, 11 50, 12 10
(a(i))[1]

What time does she arrive at the bus stop?

(a(ii))[1]

What time does this bus reach Kingswood Park?

(a(iii))[1]

Calculate how long the bus takes to travel from City Gate to Kingswood Park, in minutes.

(b)[1]

Calculate Ivan's average speed in kilometres per hour.

(c(i))[2]

Yana travels along the straight path from East Gate to West Gate. Work out how far she walks. Give your answer in kilometres.

(c(ii))[1]

Measure the bearing of South Gate from North Gate.

(c(iii))[2]

The entrance to a children's play area, $P$, is 500 metres from North Gate on a bearing of $195^\circ$. Plot the position of $P$ on the map.

(c(iv))[4]

Ivan runs one full circuit of the circular path. Calculate the distance Ivan runs.

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