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KCLMS Extensions: mathematics beyond the classroom


The KCLMS Extensions: mathematics beyond the classroom programme is designed to introduce you to some other fun areas of mathematics, which you may not get to learn about at GCSE. These include topics such as:

  • Number theory
  • Continued fractions
  • Graph theory
  • Combinatorics
  • Group theory
  • Origami
  • Games of strategy
  • Parity and invariants.

The sessions will involve deeper thinking and groupwork to tackle problems on these topics. Therefore, they will get you out of your comfort zone, and discussing new maths with your peers.

By the end of the programme, not only will you have a sense of the wider world of mathematics, but you may be inspired to take on tougher Olympiad-level mathematics problems, as found in the follow-on rounds of the UKMT maths challenges.


Sessions will run every Monday in the Spring term (except during half-term week), from 17:00 – 18:30, starting Monday 17 January 2022.

Each session will include time to discuss the new mathematics being introduced, along with time to work on the problems with your peers.

There is no compulsory homework, though you are of course free to continue tackling the material in your own time!

Additionally, you’ll normally be given a problem to think about in advance of the next session, which will help motivate each new topic that gets introduced.


All sessions will take place *online* (via Zoom).


We are taking applications from students who are currently in school Years 10 and 11 only. Since our mission is to widen participation in mathematical degrees and careers, we’ll prioritise offers to applicants who:

  • Do not have parent(s) or carer(s) who have studied at university
  • Attend non-selective schools
  • Have been eligible for Free School Meals in any of the past 6 years
  • Live or have lived in local authority care, are a young carer, or are disabled
  • are traditionally underrepresented in mathematics in further education.

How to apply

You will need to fill in the online application form. As part of this application progress, you will also need to complete as many of the application problems as possible, and upload your work.

As a guideline, we recommend completing the online application form if you think you have solved three or more of the five application problems.

The deadline for completed applications is Monday 10 January 2022, at 23:59.

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