Training Material
Mathematics is not a spectator sport! The benefit of the Competition for participants is greatly enhanced by training and preparation. Schools which take some trouble in selecting their teams, and encourage participants to work through competition papers from previous years, always achieve better results in the Competition. A variety of training material is available:
The UCT Mathematics Competition Yearbook
Every year the UCT Mathematics Competition Yearbook contains all the question papers of that year, with full solutions, statistics and prizewinners.
Order the UCT Mathematics Competition Yearbook
The competition was cancelled by Covid in 2020, and was run in a modified form in 2021 and 2022. No yearbooks are available for those years, but full solutions are available.
Past UCT Mathematics Competition papers
Papers from previous competitions are available online:
UCT Mathematics Competition papers: 2023
UCT Mathematics Competition papers: 2022
UCT Mathematics Competition papers: 2021
UCT Mathematics Competition papers: 2016
UCT Mathematics Competition papers: 2015
UCT Mathematics Competition papers: 2014
UCT Mathematics Competition papers: 2013
UCT Mathematics Competition papers: 2012
UCT Mathematics Competition papers: 2011
Other Online Resources
There is an enormous wealth of online resources for competition mathematics. We encourage you to join the Art of Problem solving community, or to sign up for the free MyTutor.chat service.
A Mathlete's Training Guide
A Mathlete's Training Guide is an introduction to problem solving skills for mathematics competitions. The author, David Jacobs, was a three-time Gold Award winner in the UCT Mathematics Competition.
The Guide contains eight chapters on topics which are staples in maths competitions, including ratios and means, rates and time, number theory and probability. The 75-page booklet contains more that 120 problems, with hints and full solutions.
Order A Mathlete's Training Guide
Mathematical Digest
Mathematical Digest, a quarterly publication for high schools, was published from 1971 to 2015. Every issue contained a wide variety of topics, including maths olympiad and competition problems from all over the world.
Many past editions of Mathematical Digest are available online.
Over 50 back numbers are still available to order.