Everything you need for the UKMT Intermediate Maths Olympiads
(Cayley, Hamilton and Maclaurin)
Intermediate Maths Olympiads (Cayley, Hamilton and Maclaurin) take place in March each year for students aged 13-16 in the UK and around the world. Students can qualify for the Olympiads by doing well in the Intermediate Maths Challenge or can make a discretionary entry.
If you’re preparing for the Cayley, Hamilton or Maclaurin Olympiads (ages 13-16) or want to find out more about them, you’re in the right place!
Mathsaurus has all the information you need, as well as a range of courses and classes to prepare.
Choose Your Preparation Pathway:
The first steps in solving a lot of Olympiad problems are similar to those needed for the Intermediate Maths Challenge, so students new to competition maths should start with our IMC resources, including the popular Go for Gold course.
For intensive preparation with real-time interaction, our live classes run throughout the year during school holidays.
🆓 Free Practice – Get Ready for the Intermediate Olympiads
Practice a range of past paper questions from previous Intermediate Olympiads with Kevin’s detailed video solutions. Perfect for trying Kevin’s teaching, last-minute revision, or additional practice.
🎯 Live Interactive Courses: Intensive Olympiad Preparation
In the February half-term and the weekend before the Olympiads in March, you can join Kevin live via Zoom for intensive preparation. Get real-time expert instruction and the ultimate Olympiad preparation.
Looking for more past papers or certificate boundaries?
Access past Olympiad papers and official grade boundaries from recent years here.
Which Olympiad will I be taking?
If you do well in the UKMT Intermediate Maths Challenge then you might qualify for one of the follow-on rounds. Like with the Junior and Senior competitions, there are two types of follow-on rounds – the Kangaroo and Olympiad, but at the Intermediate level this is further subdivided based on your year group as follows:
| Year 9 (S2) or below | Grey Kangaroo | Cayley Olympiad |
| Year 10 (S3) | Pink Kangaroo | Hamilton Olympiad |
| Year 11 (S4) | Pink Kangaroo | Maclaurin Olympiad |
Students from schools and colleges based in the UK may be invited (based on their scores in the Intermediate Maths Challenge) to take the Kangaroo rounds. Schools may also make `discretionary entries’ for other students, although there is a fee for such entries.
The Olympiad rounds are open to students both in the UK and overseas. Entries are free for those students qualifying directly from the Intermediate Maths Challenge. Schools may also make `discretionary entries’ for other students, although there is a fee for such entries.
Qualification boundaries: You can see the scores required in past Intermediate Maths Challenges to qualify for the follow-on rounds from the IMC grade boundaries page here.
You can also find a detailed introduction to all of the challenges, including the IMC and follow-on rounds in this video:
