CAIE IGCSE Mathematics Extended E4.3 Scale…wings

Covered syllabus points

E4.3.1 Draw and interpret scale drawings.E4.3.2 Use and interpret three-figure bearings

[Maximum number: 3]

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

40000

B2 for 1 cm to 0.4 km or 2.5 cm to 1 km or 1600000000
or M2 for $\sqrt{\frac{3\times10^k}{18.75}}$ oe where k>5
or M1 for area conversion evidence listed in markscheme

[Maximum number: 2]

NOT TO SCALE

The diagram shows three points A, B and C on horizontal ground. The bearing of C from A is $145^{\circ}$ and angle $A C B=38^{\circ}$ . $A C=65 \mathrm{~m}$ and $B C=95 \mathrm{~m}$ .

Find the bearing of B from C.

[Maximum number: 6]

Figure for Question 3 — CAIE IGCSE Mathematics Extended

NOT TO SCALE

The diagram shows a field, ABCD, on horizontal ground.
$B C=192 \mathrm{~m}, C D=287.9 \mathrm{~m}, B D=168 \mathrm{~m}$ and $A D=205.8 \mathrm{~m}$ .

(a)

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

Find the bearing of C from B.

[ 1 ]

(b)

A is due east of B.

Calculate the bearing of D from A.

[ 5 ]

310.0 or 310.03 to 310.04
M2 for $\sin A=\frac{168\sin(90^\circ-38^\circ)}{205.8}$ , or M1 for $\frac{\sin A}{168}=\frac{\sin(90^\circ-38^\circ)}{205.8}$ .
A1 for $A=40.0^\circ$ or 40.03 to 40.04.
M1 dep for $270^\circ+$ their angle DAB oe.

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CAIE IGCSE Mathematics Extended E4.3 Scale Drawings Topic Practice

Covered syllabus points

Question 1

Question 2

Question 3

Question (a)

Question (b)