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 on a 1-1 basis with a DBS checked volunteer mentor who provides encouragement and guidance about tackling the problems and writing solutions. Students can send a message to their mentor at any time throughout the month to ask for hints, tips, help or just discuss the maths, and can enhance and develop their mathematical skills through enjoyable, although often challenging, questions.
Who is the Mentoring Scheme aimed at?
The Mentoring Scheme is open to secondary aged 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. Which scheme is most suitable isn't just about the age of the student, but their experience with this type of problem and written maths- each tier has something different to offer.
Please read the Guidance Document for teachers, to help decide which scheme would be best for your student.
Sample sheets for each programme
The following sample sheets (PDF) give an indication of the starting level of difficulty of each programme.
- Mary Cartwright
- Julia Robinson
- Emmy Noether (sample pending)
- Hanna Neumann
- G. H. Hardy
- Srinivasa Ramanujan
Please note that while sheets are available for all levels 1-9, only levels 4-9 (Cartwright upwards) are available as mentored schemes with UKMT mentors at the moment. Levels 1-3 are available for in-school mentoring only.
How does the Mentoring Scheme work?
At the beginning of each month, a new UKMT problem sheet will be released, at the level of the scheme the student has been allocated. As they begin to solve the problems, they will communicate back and forth with their mentor, who will share good practice and coach them on how best to solve the problem. In order to maximise the impact, the mentoring process should be a collaborative and ongoing conversation between the student and the mentor.
How do I apply for a place for my student/s?
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.
Policies and safeguarding
All UKMT mentors are DBS checked and receive safeguarding training every 2 years. More information about this can be found in UKMT’s safeguarding policy. Additionally, this policy details all procedures UKMT follows, along with how to report a concern should you ever need to.
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.