Welcome to the British Mathematical Olympiad

• A PDF file containing lots of BMO problems from the past (1993–2017). No answers are supplied! Hints and solutions for BMO1 problems from 1996–1997 to 2010–2011 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)
• The UK Mathematical Olympiad for Girls (UK MOG)
• A brief article on areal co-ordinate methods in Euclidean geometry (PDF), by Tom Lovering
• National events: events calendar, UK Olympiad Training; 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
• Contact details
• Past news and events

IMO 2017 results (21 July 2017)

The IMO papers were sat on 18 and 19 July. The results of the UK team members are shown below. We obtained three Gold and two Bronze medals and an Honourable Mention and a score of 130 out of 252, coming equal 9th out of 111 participating countries. The medal boundaries were for 25 for Gold, 19 for Silver and 16 for Bronze.

The achievements of this year’s UK olympiad teams will be celebrated at the Science Museum on Monday 25 September, when Professor Ursula Martin CBE will give the 40th annual IMO lecture.

Our thanks to this year’s IMO supporter, Oxford Asset Management.

IMO 2017 problems (19 July 2017)

The IMO 2017 papers were sat on 18 and 19 July in Brazil; the problems are available. The problems were submitted by South Africa, Albania, Austria, Luxembourg, Russia and the USA respectively.

Our thanks to this year’s IMO supporter, Oxford Asset Management.

Mathematics Ashes results (16 July 2017)

The UK has won the 10th Mathematics Ashes competition, decided on the results of yesterday’s practice exam at the joint pre-IMO training camp in Itaipava; the results for the two teams were as follows, with the UK scoring a total of 83 and Australia scoring a total of 63:

Our thanks to this year’s IMO supporter, Oxford Asset Management.

IMO team selected (31 May 2017)

After the training camp held at Tonbridge School, 27–31 May, the team of six for the IMO in Brazil has been chosen as:

The reserves are:

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of the Technion. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 12–23 July.

Our thanks to this year’s IMO supporter, Oxford Asset Management.

Balkan Mathematical Olympiad report available (19 May 2017)

The Balkan Mathematical Olympiad information now includes Dominic Rowland’s report on the 2017 olympiad.

Balkan Mathematical Olympiad results (6 May 2017)

The UK team in the Balkan Mathematical Olympiad in Ohrid, Macedonia have achieved the following scores (each question marked out of 10). The medal cut-offs were 39 for gold, 31 for silver and 16 for bronze.

Sam has been added to the squad of ten from which the team of six and four reserves for the IMO in Brazil will be selected at the Tonbridge camp.

EGMO results (10 April 2017)

The UK team in the sixth European Girls’ Mathematical Olympiad have achieved the following results, coming equal 8th out of 44 participating teams (equal 6th out of 33 official European teams). The medal boundaries are 30 for gold, 19 for silver and 11 for bronze.

Our thanks to Man Group for their support of the EGMO team.

European Girls’ Mathematical Olympiad Day 2 (9 April 2017)

The problems from the second paper at the sixth European Girls’ Mathematical Olympiad, sat today in Zürich, are now available. The problems were submitted by Luxembourg, Bosnia and Herzegovina and Luxembourg respectively.

Our thanks to Man Group for their support of the EGMO team.

European Girls’ Mathematical Olympiad Day 1 (8 April 2017)

The problems from the first paper at the sixth European Girls’ Mathematical Olympiad, sat today in Zürich, are now available. The problems were submitted by Israel, the Netherlands and Hungary respectively.

Our thanks to Man Group for their support of the EGMO team.

Balkan Mathematical Olympiad team selected (3 April 2017)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Ohrid, Macedonia from 2–7 May. The Team Leader is Dominic Rowland (Winchester College) and the Deputy Leader is Jill Parker, formerly of the University of Bath; Dr Gerry Leversha, formerly of St Paul’s School, will be Observer with Leader. After the training camp held at Trinity College, Cambridge, 30 March–3 April, the team has been selected as follows.

IMO squad selected (3 April 2017)

At the training camp held at Trinity College, Cambridge from 30 March to 3 April, the squad of nine from which the team of six and three reserves for the IMO in Brazil 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 the Technion. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 12–23 July. The final team will be selected at the Tonbridge training camp held 27–31 May.

Our thanks to this year’s IMO supporter, Oxford Asset Management.

Romanian Master of Mathematics 2017 report available (15 March 2017)

The Romanian Master of Mathematics information now includes Dominic Yeo’s report on RMM 2017.

Romanian Master of Mathematics results (26 February 2017)

The UK team in the Romanian Master of Mathematics competition have achieved the following results, coming 2nd out of 19 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 32 for gold, 24 for silver and 18 for bronze.

Romanian Master of Mathematics (25 February 2017)

The problems (day 1, day 2) from this year’s Romanian Master of Mathematics competition, sat yesterday and today, are now available

EGMO 2017 team (10 February 2017)

The sixth European Girls’ Mathematical Olympiad will be held in Zürich, Switzerland, 6–12 April. The UK team will be:

The reserve is Emily Beatty of King Edward VII School, Sheffield. The Team Leader is Jo Harbour of Mayfield Primary School, Cambridge and the Deputy Leader is Jenny Owladi of the Bank of England; Kasia Warburton (Trinity College, Cambridge) will be Observer with Contestants.

Our thanks to Man Group for their support of the EGMO team.

Christopher Bradley elegance prize (8 February 2017)

The Christopher Bradley elegance prize is awarded to Harvey Yau (Ysgol Dyffryn Taf), for his solution of BMO2 problem 1.

Brian Wilson (7 February 2017)

RIP Brian Wilson, BMOS volunteer, of RHBNC (now Royal Holloway University of London). Brian died on Saturday February 4th. He was a longstanding widely respected and much loved colleague who had an infectious smile and a profound commitment to mathematics and mathematics competitions.

Details of the time and place of Brian’s cremation on March 1st may be obtained on application to the chair of BMOS, Geoff Smith (G.C.Smith@bath.ac.uk).

BMO Round 2 marked (5 February 2017, late scores added 20 and 23 February, New Zealand scores added 9 March)

BMO Round 2 was marked in London on 4 February. 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 21 or more out of 40. (Some candidates from other countries also sat the paper, with their scripts being marked using the same mark schemes, and high scores from those countries are also indicated below when available.)

BMO Round 2 (27 January 2017)

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

Romanian Master of Mathematics 2017 team (6 January 2017, staff updated 26 January)

The UK will compete in the Romanian Master of Mathematics competition in 2017, to be held in Bucharest, 22–27 February. The Team Leader will be Dominic Yeo (Technion) and the Deputy Leader will be James Gazet (Eton College); Mary Teresa Fyfe (formerly of Hutchesons’ Grammar School) will be Observer with Contestants. The UK team will be:

The reserve will be Nathan Creighton (Mossbourne Community Academy).

BMO Round 1 marked (19 December 2016, New Zealand results added 22 December 2016)

BMO Round 1 was marked in Cambridge on 9–11 December. (Some candidates from other countries also sat the paper, with their scripts being marked using the same mark schemes, and high scores from those countries are also indicated below when available.) The following candidates scored 51 or more out of 60.

UK MOG prize winners (17 December 2016)

The following participants in the UK Mathematical Olympiad for Girls (UK MOG) scored 30 or more out of 50 and have been awarded book prizes.

BMO Round 1 (3 December 2016)

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.

UK Mathematical Olympiad for Girls (12 October 2016)

The UK Mathematical Olympiad for Girls (UK MOG) paper was taken yesterday. Solutions are also available; these will be expanded after marking. The paper will be marked on the weekend of 22–23 October.

IMO 2016 lecture slides available (6 October 2016)

The slides from Zuming Feng’s IMO lecture at the Science Museum are now available. A short version is available as well.