Submit your typed or neatly written solutions of the following problems to maths@lincoln.ac.uk or by post to Mathematics Challenge, School of Mathematics and Physics, University of Lincoln, Lincoln, LN6 7TS. 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, 2018. The prize-giving ceremony will be held in Lincoln on 7 February 2018. 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.