A programme of problem solving with one-to-one support

Our Mentoring Scheme provides sets of challenging and engaging problems each month to help young people develop their problem-solving skills.

Mentees work with a volunteer mentor who provides encouragement and guidance about tackling the problems and writing solutions.

Who is the Mentoring Scheme aimed at?

The Mentoring Scheme is open to students based in the UK who are keen to improve their problem-solving and mathematical reasoning skills.

There are nine programmes, catering for students with a range of experience. Each programme (except the first) is intended to be more challenging than the preceding one and to require more prerequisite knowledge.

Sample sheets for each programme

The following sample sheets (PDF) give an indication of the starting level of difficulty of each programme.

  1. Pythagoras
  2. Hypatia
  3. Archimedes
  4. Mary Cartwright
  5. Julia Robinson
  6. Emmy Noether (in production)
  7. Hanna Neumann
  8. G. H. Hardy
  9. Srinivasa Ramanujan

How does the Mentoring Scheme work?

The Mentoring Scheme runs each year from October to May.

For each programme, a sheet containing a range of maths problems is emailed at the start of each month to students and their mentors, with solutions also sent to the mentors.

Students work on the problems with assistance from their mentor before writing up their solutions to the problems and sending them to their mentor for comment.

Mentors highlight any gaps in reasoning and suggest improvements to the solutions.

How do I take part?

The Mentoring Scheme is aimed at students based in the UK. Teachers from registered UKMT centres may request a mentor on behalf of their students for the Mary Cartwright programme upwards.

Our mentors are all volunteers and are limited in number. Depending on demand, we may not be able to meet every request for a mentor.
Teachers at registered UKMT centres can sign up to receive the Mentoring Scheme materials to use with their own students.
Those new to the Mentoring Scheme may find it helpful to work through our notes for mentees (PDF).

Can you help us?

Find out more about volunteering with us.

If you or someone you know has benefited from our activities then please consider making a donation.