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GCSE Maths: Constructions & Loci

Use compasses and a straight edge to build accurate constructions, and to draw the set of points satisfying a rule. Adaptive practice for AQA, Edexcel, OCR and Eduqas.

GeometryFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on constructions & loci, and what each one is really asking.

Construct the perpendicular bisector of a line segment
Construct the bisector of an angle
Draw the locus of points a fixed distance from a point or a line
Shade the region satisfying two or more conditions at once

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Rubbing out the construction arcs — the marks are for the arcs
  • Changing the compass width partway through a construction
  • Using a ruler to measure a bisector instead of constructing it
  • Shading the region that satisfies one condition rather than all of them

Constructions & Loci questions students ask

Is Constructions & Loci on the Foundation paper?

Yes. Constructions & Loci appears at both Foundation and Higher tier, though Higher papers take it further.

What should I know before starting Constructions & Loci?

It builds on Properties of 2D Shapes and Angles. If those feel shaky, practise them first — Constructions & Loci questions assume them.

What is the most common mistake in Constructions & Loci?

Rubbing out the construction arcs — the marks are for the arcs.

Which exam boards cover Constructions & Loci?

All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.