CAIE IGCSE Mathematics Extended E4.3 Scale Drawings Topic Practice

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Question 1

[Maximum number: 3]

A lake has an area of 3 km23 \mathrm{~km}^{2}.
On a map the area of the lake is 18.75 cm218.75 \mathrm{~cm}^{2}.
Find the scale of the map in the form 1: n.

Question 2

[Maximum number: 2]
NOT TO SCALE

NOT TO SCALE

The diagram shows a field, ABCD with B north of A.
BD is a path across the field.
AB=85 m,AD=72 m,BD=129 mA B=85 \mathrm{~m}, A D=72 \mathrm{~m}, B D=129 \mathrm{~m}, angle BDC=39∘B D C=39^{\circ} and angle BCD=60∘B C D=60^{\circ}.

Find the bearing of B from C.

Question 3

[Maximum number: 6]
Figure for Question 3 — CAIE IGCSE Mathematics Extended

NOT TO SCALE

The diagram shows a field, ABCD, on horizontal ground.
BC=192 m,CD=287.9 m,BD=168 mB C=192 \mathrm{~m}, C D=287.9 \mathrm{~m}, B D=168 \mathrm{~m} and AD=205.8 mA D=205.8 \mathrm{~m}.

Question (a)

(a)

The bearing of D from B is 038∘038^{\circ}.

Find the bearing of C from B.

[ 1 ]

Question (b)

(b)

A is due east of B.

Calculate the bearing of D from A.

[ 5 ]
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