The UK Mathematics Trust oversees the Intermediate Mathematical Challenge (IMC), a competition that is recognised at the national level. Set for children from 13 to 16 years old (usually in 9 to 11 years old in England and Wales), the IMC is an amazing opportunity for learners to struggle with solving and logical reasoning through engaging and sometimes challenging maths problems.
The IMC is a one-hour written exam divided into 25 multiple-choice questions. The challenge does not center on typical textbook problems; rather, it includes atypical and engaging challenges that necessitate creative problem-solving alongside critical reasoning skills. Its aim is to encourage students to appreciate mathematics outside of the school curriculum and foster new and flexible approaches.
This challenge is accessible to students in the United Kingdom and overseas.
Most students enter through their schools. Schools need to register their students via the official UKMT website. The exam is then conducted on a designated date under supervision at the school itself.
In some cases, home-educated students or students outside the UK may enter through approved centres or authorised platforms.
The IMC has no fixed syllabus, but it covers mathematical skills up to the Year 11 curriculum (GCSE level). The challenge focuses on:
The questions are designed to test creative application rather than routine procedures.
Note: Each incorrect answer to questions 16-20 loses 1 mark, for 21-25 loses 2 marks. Unanswered questions are marked as 0.
Note: Fees are payable by the school upon registration through UKMT's online system.
Make sure your school registers in time to avoid missing the deadline.
Preparation for the IMC should focus on developing logical reasoning, creative thinking, and non-routine problem-solving. Here are some tips:
You can download them from the official UKMT Sample Past Paper.
Click to Download the IMC Sample Paper
Top-performing 50% of students receive certificates based on their scores: Gold (top 1/6), Silver (next 2/6), and Bronze (next 3/6). Those ranked Best in Year or Best in School are awarded a special badge on their certificate. All remaining participants receive a Certificate of Participation.
Once confident in UKMT-style problem solving, students can aim for other prestigious competitions:
1. Who can take the Intermediate Mathematical Challenge?
Students in Years 9-11 in England and Wales (equivalent ages elsewhere) are eligible.
2. Can I participate without school registration?
Typically no, but exceptions may be made for home-educated or international students via affiliated centres.
3. Is guessing allowed in the exam?
Not advisable for questions 21-25, as incorrect answers carry a penalty.
4. Is there any certificate?
Yes. Top students receive Gold, Silver, or Bronze certificates based on their scores.
5. Are calculators allowed?
No, calculators are not permitted. All problems are designed to be solved using logic and mental math.