GCSE · Constructions & loci

Ruler-and-compass constructionsExam-style questions

The four standard constructions — perpendicular bisector, angle bisector, perpendicular from/at a point, and 60° — why each one works, and why the construction arcs must be left on the page.

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10 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
(a) Draw a straight line $AB$ of length $8.4$ cm.

(b) Using ruler and compasses only, construct the perpendicular bisector of $AB$ . You must show all your construction arcs.

(c) Write down the distance from $A$ to the point where your perpendicular bisector crosses $AB$ .
Level 2 · 4 marksTry it
2
(a) Using ruler and compasses only, construct an equilateral triangle with sides of length $6$ cm. You must show all your construction arcs.

(b) Write down the size of each angle of your triangle.
Level 2 · 3 marksTry it