CAIE IGCSE Mathematics Core Scale Drawing and Bearing Questions

Practise converting scale measurements, constructing positions from distances or bearings and calculating three-figure reverse bearings.

Syllabus
2028–2030
Topic
C4.3
Level
Core

Exam points

  • measure the drawing and apply its scale factor to calculate the corresponding actual distance
  • construct a point from scaled distances with arcs or from clockwise bearings measured from north
  • find a reverse bearing by adding or subtracting 180° and write it with three digits

Covered syllabus points

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

C4.3 Scale drawings question 1

[Maximum number: 4]

Roberto and his family fly from London to Los Angeles on a holiday.

Question (a)

(a)

The scale drawing shows the positions of two viewing points, A and B, in the park. The scale is 1 centimetre represents 5 kilometres.

Figure for Question (a) — CAIE IGCSE Mathematics Core

Scale : 1 cm to 5 km

[ 4 ]

Question (i)

(i)

Work out the actual distance between point A and point B. km [2]

[ 2 ]

Question (ii)

(ii)

Point C is 20 km from point A on a bearing of 072∘072^{\circ}.

On the scale drawing mark the position of point C.

[ 2 ]
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