In this section...
- Junior Challenge
- Intermediate Challenge
- Senior Challenge
- Junior Mathematical Olympiad
- Intermediate Mathematical Olympiad
- Intermediate Kangaroo
- British Mathematical Olympiad

Around 500 of the highest scorers in each school year are invited to take part in the Intermediate Mathematical Olympiad papers.
| England and Wales | Scotland | Northern Ireland | |
|---|---|---|---|
| Cayley | Year 9 or below | S2 or below | Year 10 or below |
| Hamilton | Year 10 | S3 | Year 11 |
| Maclaurin | Year 11 | S4 | Year 12 |
All participants receive a UKMT keyfob and a Certificate of Participation (50%), Merit (25%) or Distinction (top 25%).
The top 100 students in each paper receive medals; coloured bronze for Cayley, silver for Hamilton and gold for Maclaurin.
Book prizes are awarded to the top 50 students in each paper. The titles vary from year to year.
Additionally high scorers may be invited to participate in one of our summer schools.
Sample past papers / Solutions
You may buy collections of past papers.