CAIE IGCSE Maths Extended Geometrical Constructions

Practise measuring, drawing and constructing accurate diagrams, including angles, triangles and cuboid nets on grids, while checking construction steps against mark schemes.

Exam points

measure angles or line lengths from diagrams using the stated unit
construct triangles with ruler and compasses, leaving clear arcs visible
complete nets of cuboids, prisms or pyramids on a 1 cm^2 grid

Covered syllabus points

E4.2.1 Measure and draw lines and angles.E4.2.2 Construct a triangle, given the lengths of all sides, using a ruler and E4.2.3 Draw, use and interpret nets

[Maximum number: 1]

The scale drawing shows two sides, AB and BC, of a field. The scale is 5 centimetres represents 200 metres.

Figure for Question E4.2 Geometrical constructions question 1 — CAIE IGCSE Mathematics Extended

Scale: 5 cm to 200 m

Measure angle ABC.

Angle A B C=

[Maximum number: 3]

A train journey starts at 2216.
The journey takes 5 hours 52 minutes.
Find the time the train journey finishes.

A \longrightarrow B

(a)

In triangle $A B C, A B=8 \mathrm{~cm}, A C=7 \mathrm{~cm}$ and $B C=5 \mathrm{~cm}$ .

Using a ruler and compasses only,
The side AB has been drawn for you

[ 2 ]

(b)

Measure angle ACB.

Using a ruler and compasses only, construct triangle ABC.
The side AB has been drawn for you.

[ 1 ]

[Maximum number: 4]

Figure for Question E4.2 Geometrical constructions question 3 — CAIE IGCSE Mathematics Extended

NOT TO SCALE

The diagram shows the net of a cuboid with its base shaded.
The length of the cuboid is 10 cm, its width is 4 cm and its height is 5 cm.
Write down the values of each of a, b, c and d.

a=

b= c= d=

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Covered syllabus points

E4.2 Geometrical constructions question 1

E4.2 Geometrical constructions question 2

Question (a)

Question (b)

E4.2 Geometrical constructions question 3