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 5 January, 2021. 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 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.