[UKMT] British Mathematical Olympiad Subtrust
BMO papers Calendar News Links

Current events:
24–30 August: Camp for potential squad members, Oxford
(see full calendar for more)

British Mathematical Olympiad, Round 1 (BMO 1)

This is a 3½-hour paper with 6 problems (the first being intended to be more accessible than the rest), taken by students in their own schools. Selection is based on performance in the UK Senior Mathematical Challenge (UKSMC). Students achieving a certain score in UKSMC (this score varying from year to year depending on overall performance) and eligible to represent the UK at the IMO are entered automatically for BMO 1. Teachers are invited to use their judgement in entering other students. See BMO entry information for more details. Typically 1300 students sit BMO 1. A team of around 25 markers gathers in December to mark all the scripts over a 3-day period. The top 100 students receive prizes. See also notes on BMO marking (PDF) and guidance for BMO preparation.

A Mathematical Olympiad Primer, with hints and solutions for BMO1 problems from 1996–1997 to 2010–2011, may be purchased from UKMT; teachers should contact UKMT to receive access to video solutions (2005–2006 onwards). Other UKMT publications of use for BMO preparation include Plane Euclidean Geometry: Theory and Problems, especially chapters 3–7, and Crossing the Bridge for further geometry preparation. Serious geometers may also be interested in New Problems in Euclidean Geometry.

Past papers:

British Mathematical Olympiad, Round 2 (BMO 2)

This is a 3½-hour paper with 4 problems, taken by students in their own schools. Based on performances in BMO 1, up to 100 students (who are eligible to represent the UK at the IMO) are invited to sit BMO 2, with selection taking account of age and other factors; others who entered BMO 1 may enter on payment of the entry fee. Marking is carried out by around ten people, under the direction of the current IMO Team Leader.

Past papers:

IMO selection tests

Since 1985, further selection tests have been used, following the papers that are now BMO1 and BMO2, to select the IMO team. (The team was selected following the single BMO paper from 1967 to 1971, then following the FIST paper for some years from 1972.) Initially these third-stage tests resulted in selection of both team and reserve; from 1993 a squad (team plus reserve) was selected following these tests with the team being separated from the reserve after further correspondence training, and after further selection tests from 2001 onwards. The third-stage tests have had names including FIST 2 (1985), Second International Selection Test (SIST), Reading Selection Test (1987), Final Selection Test (FST, 1992 to 2001) and First Selection Test (FST, from 2002); the fourth-stage tests have been Team Selection Test (TST, 2001) and Next Selection Test (NST, 2002 onwards). These tests have been held at residential training and selection camps in various locations, lately Trinity College, Cambridge and Oundle School.

Past papers:

Please let us know if you have corrections to the historical information here, information about selection tests not shown here or versions of selection tests issued to candidates that differ from those present here.