Welcome to the British Mathematical Olympiad

• A PDF file (400kB) containing lots of BMO problems from the past (1993–2013). No answers are supplied! Hints and solutions for BMO1 problems from 1996–1997 to 2006–2007 are included in A Mathematical Olympiad Primer, available from the UKMT; past paper booklets with BMO2 problems and solutions are also available.
• Information about the BMO papers and notes on BMO marking (PDF)
• A brief article on areal co-ordinate methods in Euclidean geometry (PDF), by Tom Lovering
• National events: events calendar, UK Olympiad Training, UKMT Summer Schools; the annual IMO Lecture and Celebration
• International events, including reports on each year’s events: the International Mathematical Olympiad, the Balkan Mathematical Olympiad, the Romanian Master of Mathematics, the China Girls’ Mathematical Olympiad, the European Girls’ Mathematical Olympiad, the Mathematics Ashes
• BMOS and UKMT supporters may elect to make a small tax efficient regular donation to these organizations.
• Committee information: a short history of the BMOC, list of current committee members; list of other people involved in BMOS activities
• BMO policies on use of BMO1 DVDs and on eligibility
• Past news and events

European Girls’ Mathematical Olympiad report available (8 May 2013)

The European Girls’ Mathematical Olympiad information now includes Hannah Roberts’s report on the 2013 olympiad.

Balkan Mathematical Olympiad team selected (30 April 2013)

The Balkan Mathematical Olympiad will be held in Cyprus from 28 June–3 July. The UK Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dr Gerry Leversha, formerly of St Paul’s School. The team has been selected as follows.

The reserve is Andrew Carlotti of Sir Roger Manwood’s School.

European Girls’ Mathematical Olympiad results (12 April 2013)

The UK team in the second European Girls’ Mathematical Olympiad have achieved the following results, coming 11th out of 22 participating teams. The medal boundaries are 27 for gold, 21 for silver and 16 for bronze.

European Girls’ Mathematical Olympiad Day 2 (11 April 2013)

The problems from the second paper at the second European Girls’ Mathematical Olympiad, sat today in Luxembourg, are now available.

European Girls’ Mathematical Olympiad Day 1 (10 April 2013)

The problems from the first paper at the second European Girls’ Mathematical Olympiad, sat today in Luxembourg, are now available.

IMO squad selected (8 April 2013)

At the training camp held at Trinity College, Cambridge from 4–8 April, the squad of nine from which the team of six and three reserves for the IMO in Santa Marta, Colombia will be selected has been chosen as:

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of Worcester College, Oxford. Beverley Detoeuf of UKMT will be Observer with Contestants. The IMO will take place from 18–28 July, with joint pre-IMO training with the Australian IMO team being held in Santa Marta, 15–21 July. The final team will be selected at the Oundle training camp held 25–29 May.

Romanian Master of Mathematics 2013 report available (3 April 2013)

The Romanian Master of Mathematics information now includes Jonathan Lee’s report on RMM 2013.

RMM 2013 student report (2 April 2013)

An unofficial report on the Romanian Master of Mathematics 2013 from the student perspective, by UK team member Matei Mandache, is now available.

Romanian Master of Mathematics results (3 March 2013)

The UK team in the Romanian Master of Mathematics competition have achieved the following results, coming 3rd out of fifteen teams in the team competition (determined by the sum of the top three scores from each team as per the competition rules). The medal boundaries are 31 for gold, 23 for silver and 16 for bronze.

Romanian Master of Mathematics Day 2 (3 March 2013)

The problems from the second paper at this year’s Romanian Master of Mathematics competition, sat yesterday, are now available.

Romanian Master of Mathematics Day 1 (2 March 2013)

The problems from the first paper at this year’s Romanian Master of Mathematics competition, sat yesterday, are now available.

European Girls’ Mathematical Olympiad 2013 team (9 February 2013)

The second European Girls’ Mathematical Olympiad will be held in Luxembourg from 8–14 April. The UK team will be:

The reserve is Ellie Holderness of Latymer Upper School. The Team Leader is Hannah Roberts of Pembroke College, Oxford and the Deputy Leader is Jo Harbour of Mayfield Primary School, Cambridge.

Romanian Master of Mathematics 2013 team (9 February 2013, staff updated 14 February 2013)

The UK will compete again in the Romanian Master of Mathematics competition in 2013, to be held from 27 February–3 March. The Team Leader will be Jonathan Lee of Trinity College, Cambridge and the Deputy Leader will be Beverley Detoeuf of UKMT; Dan Schwarz (Romania) will be Observer. The UK team will be:

BMO Round 2 marked (9 February 2013, New Zealand results added 28 February)

BMO Round 2 was marked in London on 9 February; 12 candidates in New Zealand also sat the paper, their scripts were marked in New Zealand using the same mark schemes as used in the UK, and such candidates are marked “(NZ)” below. Invitations to the Trinity training camp will be sent shortly to selected candidates eligible to represent the UK at the IMO, and details of marks will be sent to schools. The following candidates scored 15 or more out of 40.

BMO Round 2 (1 February 2013)

This year’s BMO Round 2 paper was taken yesterday.

BMO Round 2 cut-offs (18 December 2012)

The BMO2 qualifying cut-off scores are 38 for students in year 13 (England and Wales), year S6 (Scotland), year 14 (Northern Ireland); 31 for students in year 12 (England and Wales), year S5 (Scotland), year 13 (Northern Ireland); 28 for students in year 11 (England and Wales), year S4 (Scotland), year 12 (Northern Ireland); and 20 for students in lower school years. Scoring at least the cut-off on BMO1 gives free entry to BMO2 provided that the candidate is eligible to represent the UK at the IMO. Any participant in BMO1 may enter BMO2 by paying the entry fee of £25. BMO2 will take place on 31 January 2013.

BMO Round 1 marked (7–9 December 2012, New Zealand results added 23 December)

BMO Round 1 was marked in Cambridge on 7–9 December; 22 candidates in New Zealand also sat the paper, their scripts were marked in New Zealand using the same mark schemes as used in the UK, and such candidates are marked “(NZ)” below. The following candidates scored 50 or more out of 60.

BMO Round 1 (1 December 2012)

This year’s BMO Round 1 paper was taken yesterday; video solutions are temporarily available online. Production facilities for the video were donated by the University of Bath Audio Visual Unit.