CAIE IGCSE Mathematics Core C4.3 Scale Drawings Topic Practice

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Covered syllabus points

C4.3.1 Draw and interpret scale drawings.C4.3.2 Use and interpret three-figure bearings

Question 1

[Maximum number: 2]

Town A is 8.5 cm from town B on a map.

The scale of the map is 1:50000.
Calculate the actual distance from town A to town B.
Give your answer in kilometres.
km\mathrm{km}

Question 2

[Maximum number: 2]

The scale drawing shows the position of a rock, R.
The scale is 1 centimetre represents 30 metres.
A lighthouse, L, is 210 m from R, on a bearing of 125∘125^{\circ}.

On the scale drawing, mark the position of L.

Figure for Question 2 — CAIE IGCSE Mathematics Core

Question 3

[Maximum number: 4]

Question (a)

(a)

The scale drawing shows the position of ship⁡A\operatorname{ship} A and the position of ship⁡B\operatorname{ship} B. The scale is 1 cm represents 6 km .

Figure for Question (a) — CAIE IGCSE Mathematics Core

Another ship, C, is 45 km from ship B on a bearing of 124∘124^{\circ}.

[ 4 ]

Question (i)

(i)

On the scale drawing, mark the position of ship C.

[ 2 ]

Question (ii)

(ii)

Find the actual distance of ship C from ship A.

[ 2 ]
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