Mathematics 0580 · IGCSE · Scale drawings

Scale drawings — practice question

The scale diagram indicates where two buoys, $A$ and $B$, are positioned in the sea. The scale used is 1 centimetre stands for 20 kilometres. The sketch includes land and sea, a North arrow beside each buoy, and the caption "Scale: 1 cm to 20 km".
(a(i))[2]

Calculate the real distance between buoy $A$ and buoy $B$.

(a(ii))[1]

Measure the bearing of buoy $B$ from buoy $A$.

(a(iii))[2]

On the scale drawing, indicate where buoy $C$ should go.

(a(iv))[2]

On the scale drawing, use only a straight edge and compasses to construct the route of the boat. Include all of your construction arcs.

(b)[2]

Complete the statement about $t$. $t <$

(c)[2]

Complete the table with the missing value.

(d)[1]

Find what the temperature is at midnight.

(e)[2]

Calculate what the cost is this year.

(f)[2]

Calculate an estimate for how many boats in the port have a mast.

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