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Mathematical Challenge is a problem solving competition for individual pupils in Scottish secondary schools and upper primary schools (mainly P7).  It has been running since 1976 under the aegis of the Scottish Mathematical Council . The aim is to promote mathematics as a source of interest and pleasurable achievement.


The competition is divided into four divisions: Primary (P7), Junior (S1 and S2), Middle (S3 and S4), and Senior (S5 and S6).  Each year there are two rounds of problems for Secondary schools and three rounds for Primary schools. The problems and associated documents for schools should be downloaded (click here).


In early summer winners of Gold, Silver and Bronze Certificates are announced in each section;  the top winners are usually invited to a prize-giving ceremony and receive a much prized Mathematical Challenge mug.

Marks are given for explanations of answers rather than for simply getting the correct answer.


Past problems and their solutions can be found via the navigation bar on this page. If you wish to enter, please speak to your teacher. Contact addresses for the various regions of Scotland may also be found via the navigation bar, including the National Committee. Guidelines for the competition are also available.