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CAIE IGCSE Mathematics Bearings and Scale Questions

Practise deriving three-figure bearings from north lines and angle facts and converting between map area and real area to obtain a linear scale.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • measure or calculate a bearing clockwise from north and write it as a three-digit angle
  • use due north, east, south or west with triangle angle facts to derive an unknown bearing
  • convert both areas to matching units and square-root the area ratio to obtain the linear scale

Covered syllabus points

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

E4.3 Scale drawings 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.

E4.3 Scale drawings 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.

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