Loci Worksheet

Loci Worksheet

Help your students prepare for their Maths GCSE with this free loci worksheet of 35 questions and answers

  • Section 1 of the loci worksheet contains 27 skills-based loci questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied loci questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam questions on loci 
  • Answers and a mark scheme for all questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Loci at a glance


A locus is a set of points that follow a certain rule. To be able to draw loci we need to be confident with a number of constructions which can be drawn using a ruler and a pair of compasses. These include an angle bisector, the perpendicular bisector of a line and the perpendicular to a line at a given point.


We might, for example, be asked to draw the locus of points equidistant from the two points a and b. The loci would be the perpendicular bisector of the line segment between a and b. To bisect the straight line ab, we would use a pair of compasses and a ruler and follow the method for constructing a perpendicular bisector. It is important to leave all construction lines visible when drawing constructions so that your method is clear. 


Looking forward, students can then progress to additional geometry worksheets, for example a 3D shapes worksheet or area of a triangle worksheet.


GCSE maths worksheets


For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

Do you have GCSE students who need additional support?

GCSE Maths Worksheets

There will be students in your class who require individual attention to help them achieve their target GCSE maths grade. In a class of 30, it’s not always easy to provide.

Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with personalised online one to one tutoring from Third Space Learning

Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.

GCSE Revision Programme