For a chance to win the first prize (£100 Amazon voucher) 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 6 January, 2022. It is possible to win a prize 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. The prize-giving ceremony will be organized at the end of January — beginning of February 2022, possibly as an online event. 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.