Edexcel IGCSE Math A Foundation 4.5 Construction Questions

Use this construction page to measure and draw accurately, construct triangles and create perpendicular or angle bisectors with visible construction lines.

Exam points

Construct angle bisectors and perpendicular bisectors using ruler and compasses.
Draw triangles or two-dimensional shapes accurately from given lengths and instructions.
Measure or draw line segments to the requested centimetre or millimetre accuracy.

Covered syllabus points

4.5.A Measure and draw lines to the nearest millimetre 4.5.B Constructing two-dimensional shapes 4.5.C Problems using scale drawings 4.5.D Perpendicular and angle bisectors

[Maximum number: 1]

The diagram shows a rhombus ABCD.

Figure for Question 1 — Edexcel IGCSE Math A Foundation

Measure the length of AB.
cm

[Maximum number: 4]

A B C is an isosceles triangle.
$A B=6 \mathrm{~cm}$ .
$A C=B C=7 \mathrm{~cm}$ .

(a)

Use ruler and compasses to construct triangle ABC.

You must show all your construction lines.
The line AB has been drawn for you.

\bar{A} \quad 6 \mathrm{~cm} \quad B

[ 2 ]

(b)

Use ruler and compasses to construct the perpendicular bisector of the line DE. You must show all your construction lines.

Figure for Question (b) — Edexcel IGCSE Math A Foundation

[ 2 ]

[Maximum number: 2]

Here is an accurate scale drawing showing the positions of a hotel and a museum.

Figure for Question 3 — Edexcel IGCSE Math A Foundation

Scale: 1 cm represents 4.5 km

Work out the real distance between the hotel and the museum. km

$[7.8,\ 8.2]\times4.5$

Final answer:
36

M1. Allow 7.8 to 8.2.
A1. Allow 35 to 37.

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Covered syllabus points

Question 1

Question 2

Question (a)

Question (b)

Question 3