For the honour of winning the competition as 1st, 2nd, or 3rd place winner, submit your typed or neatly written (and scanned in a single pdf file) solutions of the following problems to maths@lincoln.ac.uk with “Maths Challenge” in subject line. Please include your full name, postal address and email, as well as the name and address of your school. The closing date is 10 January, 2025. It is possible to become a winner even if you have not completed all of the questions, so you are encouraged to submit solutions if you do only some of the problems. Winners will be announced in February 2025. The competition is open to all young pre-university people in UK aged 15–18 years. It is not open to current university students. See full Terms and Conditions. The problems can also be downloaded from here.