British Mathematical Olympiad Subtrust

Coming events:
2–7 May: Balkan MO
(see full calendar for more)

Past News and Events

(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.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Rosie Cates 7 7 6 7 7 7 41Gold Medal
Melissa Quail 7 3 0 0 0 3 13Bronze Medal
Alevtina Studenikina 7 2 0 0 4 0 13Bronze Medal
Naomi Wei 7 0 1 7 1 0 16Bronze Medal

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

(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.

(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.

(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.

NameSchool
Hugo AaronsonSt Paul’s School
Sam BealingBridgewater High School
Emily BeattyKing Edward VII School
Thomas PycroftWhitchurch High School
Yuta TsuchiyaQueen Elizabeth’s School
Naomi WeiCity of London Girls’ School

(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:

NameSchool
Joe BentonSt Paul’s School
Rosie CatesHills Road VI Form College
Jacob CoxonMagdalen College School
Neel NandaLatymer School
Michael NgAylesbury Grammar School
Thomas ReadThe Perse School
Alexander SongWestminster School
Naomi WeiCity of London Girls’ School
Harvey YauYsgol Dyffryn Taf

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.

(15 March 2017)

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

(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.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Joe Benton 7 6 7 7 7 034Gold Medal
Rosie Cates 7 0 0 3 7 017Honourable Mention
Neel Nanda 7 7 2 7 7 030Silver Medal
Thomas Read 7 0 0 7 7 021Bronze Medal
Alexander Song 7 0 0 3 1 112Honourable Mention
Harvey Yau 7 7 7 7 7 035Gold Medal

(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

(10 February 2017)

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

NameSchool
Rosie CatesHills Road Sixth Form College
Melissa QuailLongsands Academy
Alevtina StudenikinaCheltenham Ladies’ College
Naomi WeiCity of London School for Girls

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.

(8 February 2017)

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

(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).

(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.)

Joe Benton40
Neel Nanda40
Thomas Read40
Harvey Yau40
Lee Kyung Chan39
Yuta Tsuchiya32
Zherui Xu32
Hugo Aaronson30
Rosie Cates30
Nathan Creighton30
Michael Ng30
Thomas Pycroft30
Naomi Wei30
Artem Baryshnikov29
Andrew Yian Chen (New Zealand)29
Jacob Coxon29
Sam Bealing28
Isuru Shavinda Jayasekera27
Chengran Yang27
Jacob Mair26
Alexander Song26
Alex Chen25
Zhuangfei Shang25
Alevtina Studenikina25
Benedict Randall Shaw24
Emily Beatty23
Yiannis Fam (New Zealand)23
Melissa Quail23
Matthew Richmond23
Lennie Wells23
Agnijo Banerjee22
Sithipont Cholsaipant22
Raymond Douglas22
Charlie Hu22
Stacey Wenting Tian (New Zealand)22
Bruce Xu22
Mengzhen Liu21
Sophie McInerney21
Matthew Penn21

(27 January 2017)

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

(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:

NameSchool
Joe BentonSt Paul’s School
Rosie CatesHills Road Sixth Form College
Neel NandaLatymer School
Thomas ReadThe Perse School
Alexander SongWestminster School
Harvey YauYsgol Dyffryn Taf

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

(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.

Joe Benton60
Alex Chen60
Neel Nanda60
Michael Ng60
Thomas Read60
Harvey Yau60
Dougie Dolleymore59
Eric Chen58
Hugo Aaronson57
Agnijo Banerjee57
Kyung Chan Lee56
Thomas Pycroft56
Zherui Xu54
Pino Cholsaipant53
Amelia Rout53
Zhuangfei Shang53
Rosie Cates52
Ryan Lee52
Protik Moulik52
John Bamford51
Sam Bealing51
Andrew Yian Chen (New Zealand)51
Nathan Creighton51
Weida Liao51
Alexander Song51
Roan Talbut51
Yicen Tian51
Shilin Wu51

(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.

Alevtina Studenikina44
Wendi Fan43
Phoebe Jackson42
Zijia (Emily) Li40
Katherine Horton39
Shuqi Huang39
Melissa Quail36
Georgina Lang35
Aalia Adam34
Louisa Cullen34
Hannah Erlebach34
Naomi Bazlov33
Fiona Wilson33
Emilia Feldman32
Niamh Lister32
Florence Miller32
Megumi Sano32
Andrea Sendula32
Naomi Wei32
Siana Zhekova32
Molly Barker31
Emma Brown31
Weida Liao31
Amelia Rout31
Alice Vaughan-Williams31
Kristina Buck30
Coral Dalitz30
Yilan (Ellen) Jiang30
Roan Talbut30
Chloe Thickett30
Ruihua Zhang30

(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.

(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.

(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.

(13 August 2016)

The reports on past IMOs now include Geoff Smith’s report on IMO 2016.

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

(28 July 2016)

A report on IMO 2016 by Deputy Leader Dominic Yeo is now available.

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

(15 July 2016)

A press release (PDF, Word) about the UK performance at IMO 2016 is now available.

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

(14 July 2016)

The IMO papers were sat on 11 and 12 July. The results of the UK team members are shown below. We obtained 2 Gold and 4 Silver medals and a score of 165 out of 252, coming 7th out of 109 participating countries. The medal boundaries were for 29 for Gold, 22 for Silver and 16 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Joe Benton 7 7 2 7 2 126Silver Medal
Jacob Coxon 7 1 0 6 7 324Silver Medal
Lawrence Hollom 7 7 0 7 3 024Silver Medal
Warren Li 7 7 2 7 7 333Gold Medal
Neel Nanda 7 7 0 7 2 730Gold Medal
Harvey Yau 0 7 0 7 7 728Silver Medal

The achievements of this year’s UK olympiad teams will be celebrated at the Science Museum on Monday 26 September, when Dr Zuming Feng will give the 39th annual IMO lecture, on “From classroom to contest”.

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

(12 July 2016)

The IMO 2016 papers were sat on 11 and 12 July in Hong Kong; the problems (day 1, day 2) are available. The problems were submitted by Belgium, Australia, Russia, Luxembourg, Russia and the Czech Republic respectively.

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

(8 July 2016)

The UK has won the 9th Mathematics Ashes competition, decided on the results of today’s practice exam at the joint pre-IMO training camp in Tagaytay; the results for the two teams were as follows, with the UK scoring a total of 82 and Australia scoring a total of 74:

CodeName Q1Q2Q3Total
UNK1Joe Benton 74112
UNK2Jacob Coxon 7007
UNK3Lawrence Hollom7209
UNK4Warren Li 77721
UNK5Neel Nanda 77216
UNK6Harvey Yau 77317
AUS1Michelle Chen 77115
AUS2Ilia Kucherov 7018
AUS3Jongmin Lim 7119
AUS4Seyoon Ragavan 77317
AUS5Kevin Xian 77418
AUS6Wilson Zhao 7007

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

(1 June 2016)

After the training camp held at Tonbridge School, 28 May–1 June, the team of six for the IMO in Hong Kong has been chosen as:

NameSchool
Joe BentonSt Paul’s School
Jacob CoxonMagdalen College School
Lawrence HollomChurcher’s College
Warren LiEton College
Neel NandaLatymer School
Harvey YauYsgol Dyffryn Taf

The reserves are:

NameSchool
Rosie CatesHills Road VI Form College
Michael NgAylesbury Grammar School
Thomas Read (first reserve)The Perse School
Renzhi ZhouThe Perse School

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of the University of Oxford. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 6–16 July.

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

(21 May 2016)

The Balkan Mathematical Olympiad information now includes Dominic Yeo’s report on the 2016 olympiad.

(16 May 2016)

An unofficial report on the Balkan Mathematical Olympiad 2016 from the student perspective, by UK team member Michael Ng, is now available.

(8 May 2016)

The UK team in the Balkan Mathematical Olympiad in Tirana, Albania have achieved the following scores (each question marked out of 10). The medal cut-offs were 32 for gold, 30 for silver and 17 for bronze.

Name Q1Q2Q3Q4TotalMedal
Jamie Bell 10 010 2 22Bronze Medal
Rosie Cates10 110 0 21Bronze Medal
Jacob Coxon10 1 9 0 20Bronze Medal
Michael Ng 10 910 1 30Silver Medal
Thomas Read1010 9 0 29Bronze Medal
Renzhi Zhou101010 0 30Silver Medal

Michael has been added to the squad of ten from which the team of six and four reserves for the IMO in Hong Kong will be selected at the Tonbridge camp:

NameSchool
Joe BentonSt Paul’s School
Rosie CatesHills Road VI Form College
Jacob CoxonMagdalen College School
Lawrence HollomChurcher’s College
Warren LiEton College
Neel NandaLatymer School
Michael NgAylesbury Grammar School
Thomas ReadThe Perse School
Harvey YauYsgol Dyffryn Taf
Renzhi ZhouThe Perse School

(14 April 2016)

The UK team in the fifth European Girls’ Mathematical Olympiad have achieved the following results, coming 7th out of 39 participating teams (6th out of 31 official European teams). The medal boundaries are 27 for gold, 17 for silver and 11 for bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Rosie Cates 7 7 3 7 7 4 35Gold Medal
Tomoka Kan 1 7 0 0 4 0 12Bronze Medal
Alevtina Studenikina 6 0 0 7 1 0 14Bronze Medal
Naomi Wei 1 7 0 7 1 1 17Silver Medal

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

(13 April 2016)

The problems from the second paper at the fifth European Girls’ Mathematical Olympiad, sat today in Bușteni, are now available. The problems were submitted by Luxembourg, the Netherlands and the Netherlands respectively.

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

(12 April 2016)

The problems from the first paper at the fifth European Girls’ Mathematical Olympiad, sat today in Bușteni, are now available. The problems were submitted by the Netherlands, Belarus and Mexico respectively.

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

(4 April 2016)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Tirana, Albania from 5–10 May. The Team Leader is Dominic Yeo of the University of Oxford and the Deputy Leader is Dr Gerry Leversha, formerly of St Paul’s School; Jill Parker (formerly of the University of Bath) will be Observer with Contestants. After the training camp held at Trinity College, Cambridge, 31 March–4 April, the team has been selected as follows.

NameSchool
Jamie BellKing Edward VI Five Ways School
Rosie CatesHills Road VI Form College
Jacob CoxonMagdalen College School
Michael NgAylesbury Grammar School
Thomas ReadThe Perse School
Renzhi ZhouThe Perse School

(4 April 2016)

At the training camp held at Trinity College, Cambridge from 31 March to 4 April, the squad of nine from which the team of six and three reserves for the IMO in Hong Kong will be selected has been chosen as:

NameSchool
Joe BentonSt Paul’s School
Rosie CatesHills Road VI Form College
Jacob CoxonMagdalen College School
Lawrence HollomChurcher’s College
Warren LiEton College
Neel NandaLatymer School
Thomas ReadThe Perse School
Harvey YauYsgol Dyffryn Taf
Renzhi ZhouThe Perse School

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of the University of Oxford. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 6–16 July. The final team will be selected at the Tonbridge training camp held 28 May–1 June.

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

(29 February 2016)

The UK team in the Romanian Master of Mathematics competition have achieved the following results, coming 2nd out of 20 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 23 for gold, 17 for silver and 13 for bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Joe Benton 7 7 0 6 7 027Gold Medal
Rosie Cates 1 1 0 7 0 0 9Honourable Mention
Lawrence Hollom 2 1 0 6 0 0 9
Warren Li 7 7 3 7 0 024Gold Medal
Neel Nanda 7 1 2 7 0 017Silver Medal
Harvey Yau 7 7 0 7 0 021Silver Medal

(29 February 2016)

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

(27 February 2016)

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

(15 February 2016)

The Christopher Bradley elegance prize is awarded to Warren Li (Eton College), Neel Nanda (Latymer School) and Alevtina Studenikina (Cheltenham Ladies’ College), for particularly beautiful solutions of BMO2 problem 3.

(12 February 2016)

The fifth European Girls’ Mathematical Olympiad will be held in Bușteni, Romania, 10–16 April. The UK team will be:

NameSchool
Rosie CatesHills Road Sixth Form College
Tomoka KanWestminster School
Alevtina StudenikinaCheltenham Ladies’ College
Naomi WeiCity of London School for Girls

The reserve is Clarissa Costen of Altrincham Grammar School for Girls. The Team Leader is Jo Harbour of Mayfield Primary School, Cambridge and the Deputy Leader is Jenny Owladi of the Bank of England.

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

(7 February 2016, New Zealand results added 12 February 2016)

BMO Round 2 was marked in London on 6 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 11 or more out of 40.

Neel Nanda40
Harvey Yau40
Joe Benton39
Warren Li34
Lawrence Hollom30
Kyung Chan Lee30
Renzhi Zhou29
David Tao27
Alex Harris21
Agnijo Banerjee20
Jamie Bell20
Rosie Cates20
Gurbir Johal20
Moses Mayer20
Michael Ng20
Philip Peters20
Thomas Read20
Ziming Xue20
Ebony Zhang20
Tingjun Zhang20
Abdul Hadi Khan18
Alevtina Studenikina18
Yuyang Miao17
Henry Eveleigh16
Tomoka Kan14
Ewan Clementson13
Harry Goodburn13
Alan Sun13
Kevin Shen (NZ)12
Jacob Coxon11
Liam Goddard11
Daniel Remo11
James Sun11
Naomi Wei11
Thomas Wilkinson11

(29 January 2016)

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

(8 January 2016)

The UK will compete in the Romanian Master of Mathematics competition in 2016, to be held in Bucharest, 24–29 February. The Team Leader will be Alexander Betts (University of Oxford) and the Deputy Leader will be James Gazet (Eton College); Sally Anne Huk (formerly of Bancroft’s School) will be Observer with Contestants. The UK team will be:

NameSchool
Joe BentonSt Paul’s School
Rosie CatesHills Road Sixth Form College
Lawrence HollomChurcher’s College
Warren LiEton College
Neel NandaLatymer School
Harvey YauYsgol Dyffryn Taf

The reserve will be Michael Ng (Aylesbury Grammar School).

(17 December 2015)

BMO Round 1 was marked in Cambridge on 11–13 December. The following candidates scored 45 or more out of 60.

Jamie Bell60
Kyung Chan Lee60
Warren Li60
Yuyang Miao60
Neel Nanda60
Michael Ng60
Philip Peters60
Harvey Yau60
Renzhi Zhou60
Joe Benton59
Lawrence Hollom59
Kirsten Land59
Lucas Huysmans53
Jeon Jongheon53
Sam Watt53
Shenyang Wu53
Jacob Coxon51
Thomas Pycroft51
Thomas Read51
Clarissa Costen50
Abdul Hadi Khan50
Edward Rong50
Chris Liu49
Rohan Mitta49
Rosie Cates47

(28 November 2015)

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.

(21 October 2015)

The markers’ report for the 2015 UK Mathematical Olympiad for Girls paper is now available, including extended discussions of the problems and the approaches taken by candidates.

(19 October 2015)

The UK Mathematical Olympiad for Girls (UK MOG) was marked on 10–11 October in Cambridge. The following candidates scored 45 or more out of 50. Results will be received by schools after half-term.

Rosie Cates50
Louisa Cullen50
Tomoka Kan50
Kirsten Land50
Jackie Li50
Sophie Maclean50
Naomi Wei50
Rose Blyth49
Siqi Fang49
Caroline Harwin49
Melissa Quail49
Alevtina Studenikina49
Roan Talbut49
Jessica Wang49
Alice Vaughan-Williams48
Emma Vinen48
Catherine Wooller48
Ebony Zhang48
Emma Brown47
Lydia Buckingham47
Katherine Horton47
Leonie Woodland46
Sophie Crane45
Lara Gordon45
Lucy Wan45

(30 September 2015)

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 10–11 October.

(2 September 2015)

The Balkan Mathematical Olympiad information now includes Alexander Betts’s report on the 2015 olympiad.

(7 August 2015)

An unofficial report on IMO 2015 from the student perspective, by UK team member Lawrence Hollom, is now available.

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

(29 July 2015)

The reports on past IMOs now include Geoff Smith’s report on IMO 2015.

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

(26 July 2015)

A report on IMO 2015 by Deputy Leader Dominic Yeo is now available.

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

(14 July 2015)

The IMO papers were sat on 10 and 11 July. The results of the UK team members are shown below. We obtained four Silver and one Bronze medals and one Honourable Mention and a score of 109 out of 252, coming 22nd out of 104 participating countries. The medal boundaries were for 26 for Gold, 19 for Silver and 14 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Joe Benton 7 2 1 7 1 119Silver Medal
Lawrence Hollom 7 1 0 1 1 010Honourable Mention
Samuel Kittle 7 2 0 7 3 019Silver Medal
Warren Li 7 7 1 7 3 025Silver Medal
Neel Nanda 7 1 0 7 2 017Bronze Medal
Harvey Yau 7 2 1 7 2 019Silver Medal

The team leaves Chiang Mai on Thursday 16 July and arrives back in the UK on Friday 17 July. The achievements of this year’s UK olympiad teams will be celebrated at the Royal Society on Monday 21 September, when Professor Adam McBride OBE will give the 38th annual IMO lecture, on “Mathematical Challenges”.

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

(11 July 2015)

The IMO 2015 papers were sat on 10 and 11 July in Chiang Mai; the problems are available. The problems were submitted by the Netherlands, Serbia, Ukraine, Greece, Albania and Australia respectively.

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

(7 July 2015)

The 8th Mathematics Ashes competition, decided on the results of today’s practice exam at the joint pre-IMO training camp in Putrajaya, was tied; the results for the two teams were as follows, with each team scoring a total of 84:

CodeName Q1Q2Q3Total
UNK1Joe Benton 77519
UNK2Lawrence Hollom 7209
UNK3Samuel Kittle 5005
UNK4Warren Li 37717
UNK5Neel Nanda 76720
UNK6Harvey Yau 77014
AUS1Alexander Gunning77721
AUS2Ilia Kucherov 70714
AUS3Seyoon Ragavan 77014
AUS4Yang Song 75012
AUS5Kevin Xian 36110
AUS6Jeremy Yip 67013

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

(27 May 2015)

After the training camp held at Tonbridge School, 23–27 May, the team of six for the IMO in Chiang Mai, Thailand has been chosen as:

NameSchool
Joe BentonSt Paul’s School
Lawrence HollomChurcher’s College
Samuel KittleSimon Langton Boys’ Grammar School
Warren LiEton College
Neel NandaLatymer School
Harvey YauYsgol Dyffryn Taf

The two reserves are:

NameSchool
Liam Hughes (first reserve)Robert Smyth Academy
Harry MetrebianWinchester College

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of the University of Oxford. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 4–16 July.

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

(6–7 May 2015)

The United Kingdom and Ireland team in the Balkan Mathematical Olympiad in Athens, Greece have achieved the following scores (each question marked out of 10), coming 15th out of 21 participating (member and guest) countries. The medal cut-offs were 31 for gold, 24 for silver and 12 for bronze. The problems are available.

Name Q1Q2Q3Q4TotalMedal
Luke Gardiner 310 0 0 13Bronze Medal
Alex Harris 1010 0 0 20Bronze Medal
Lawrence Hollom10 1 0 1 12Bronze Medal
Samuel Kittle 0 0 2 0 2
Kirsten Land 0 1 0 0 1
Philip Peters 1010 0 0 20Bronze Medal

(18 April 2015)

The UK team in the fourth European Girls’ Mathematical Olympiad have achieved the following results, coming 12th out of 30 participating teams. The medal boundaries are 26 for gold, 20 for silver and 11 for bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Olivia Aaronson 1 0 6 7 7 0 21Silver Medal
Rosie Cates 1 3 0 1 6 0 11Bronze Medal
Kirsten Land 1 2 0 7 0 0 10Honourable Mention
Joanna Yass 7 2 0 1 1 0 11Bronze Medal

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

(17 April 2015)

The problems from the second paper at the fourth European Girls’ Mathematical Olympiad, sat today in Minsk, are now available. The problems were submitted by Japan, the Netherlands and Ukraine respectively.

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

(16 April 2015)

The problems from the first paper at the fourth European Girls’ Mathematical Olympiad, sat today in Minsk, are now available. The problems were submitted by Luxembourg, Turkey and the USA respectively.

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

(30 March 2015, staff updated 10 April 2015)

A United Kingdom and Ireland guest team will compete in the Balkan Mathematical Olympiad, to be held in Athens, Greece from 3–8 May. The Team Leader is Alexander Betts of the University of Oxford and the Deputy Leader is Dr Gerry Leversha, formerly of St Paul’s School; Jill Parker (formerly of the University of Bath) will be Observer with Contestants. After the training camp held at Trinity College, Cambridge from 26–30 March, the team has been selected as follows.

NameSchool
Luke GardinerGonzaga College, Ireland
Alex HarrisThe Perse School
Lawrence HollomChurcher’s College
Samuel KittleSimon Langton Boys’ Grammar School
Kirsten LandKing’s College London Mathematics School
Philip PetersHaberdashers’ Aske’s School for Boys

(30 March 2015)

At the training camp held at Trinity College, Cambridge from 26–30 March, the squad of eight from which the team of six and two reserves for the IMO in Chiang Mai, Thailand will be selected has been chosen as:

NameSchool
Joe BentonSt Paul’s School
Lawrence HollomChurcher’s College
Liam HughesRobert Smyth Academy
Samuel KittleSimon Langton Boys’ Grammar School
Warren LiEton College
Harry MetrebianWinchester College
Neel NandaLatymer School
Harvey YauYsgol Dyffryn Taf

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of the University of Oxford. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 4–16 July. The final team will be selected at the Tonbridge training camp held 23–27 May.

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

(5 March 2015)

The Romanian Master of Mathematics information now includes Dominic Yeo’s report on RMM 2015.

(1 March 2015)

The UK team in the Romanian Master of Mathematics competition have achieved the following results, coming 4th out of 17 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, 27 for silver and 22 for bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Joe Benton 7 5 0 7 7 733Gold Medal
Liam Hughes 7 0 0 7 6 020Honourable Mention
Samuel Kittle 7 6 0 0 0 316Honourable Mention
Warren Li 7 6 2 7 7 231Silver Medal
Harry Metrebian 7 1 0 0 7 015Honourable Mention
Harvey Yau 7 5 2 7 7 129Silver Medal

(1 March 2015)

The problems from the second paper at this year’s Romanian Master of Mathematics competition, sat yesterday, are now available. Problem 4 was submitted by Russia and problems 5 and 6 by Bulgaria.

(28 February 2015)

The problems from the first paper at this year’s Romanian Master of Mathematics competition, sat yesterday, are now available. Problems 2 and 3 were UK submissions, by Jeremy King and Lex Betts respectively; problem 1 was from Peru.

(8 February 2015)

The fourth European Girls’ Mathematical Olympiad will be held in Minsk, Belarus, 14–20 April. The UK team will be:

NameSchool
Olivia AaronsonSt Paul’s Girls’ School
Rosie CatesThe Perse School
Kirsten LandKing’s College London Mathematical School
Joanna YassNorth London Collegiate School

The reserve is Clarissa Costen of Altrincham Girls’ Grammar School. The Team Leader is Jo Harbour of Mayfield Primary School, Cambridge and the Deputy Leader is Jenny Owladi of the Bank of England.

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

(8 February 2015)

BMO Round 2 was marked in London on 7 February. (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 will be added below when available.) 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 20 or more out of 40.

Yuan Gao40
Harvey Yau40
Joe Benton39
Harry Metrebian33
Samuel Kittle31
Andrew Kenyon-Roberts30
Philip Peters30
Askhat Sarkeev30
Xiangjia Kong29
Renzhi Zhou26
Mark Cooper23
Alex Harris23
Jiani Li23
Neel Nanda23
Marcus Roberts23
Joshua Rowley23
Joshua Garfinkel22
Lawrence Hollom22
Richard Law22
Chenyu Liu22
Shenyang Wu22
Olivia Aaronson21
Kyung Chan Lee21
Thomas Wilkinson21
Jamie Bell20
Rosie Cates20
Liam Hughes20
Gareth Jones20
Kirsten Land20
Leslie Leung20
Rory Mclaurin20
Yuyang Miao20
Thomas Read20
Alex Rice20
Yukuan Tao20
Benjie Wang20
Joanna Yass20

The Christopher Bradley elegance prize is not awarded.

(30 January 2015)

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

(8 January 2015)

The UK will compete in the Romanian Master of Mathematics competition in 2015, to be held in Bucharest, 25 February–1 March. The Team Leader will be Dominic Yeo (University of Oxford) and the Deputy Leader will be James Gazet (Eton College). The UK team will be:

NameSchool
Joe BentonSt Paul’s School
Liam HughesRobert Smyth Academy
Samuel KittleSimon Langton Grammar School for Boys
Warren LiEton College
Harry MetrebianWinchester College
Harvey YauYsgol Dyffryn Taf

(12–14 December 2014)

BMO Round 1 was marked in Cambridge on 12–14 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.

Joe Benton60
Alex Harris60
Lawrence Hollom60
Liam Hughes60
Samuel Kittle60
Kyung Chan Lee60
Warren Li60
Milton Lin60
Bhavik Mehta60
Harry Metrebian60
Neel Nanda60
Philip Peters60
Harvey Yau60
Jiani Li59
Yuyang Miao59
Xiangjia Kong58
Xiao Ma58
Luke Gardiner (Ireland)57
Hugo Aaronson55
Yuan Gao55
Hoseong Seo55
Chen Lu54
Michael Ng53
Chikashi Rison53
Olivia Aaronson52
Jongheon Jeon52
Gareth Jones52
Askhat Sarkeev52
Valeriia Gladkova51
Alex Gunasekera51
Tomoka Kan51
Chris Liu51
Nico Marrin51
Conor Murphy51
Joon Young Yoon51

(29 November 2014)

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.

(13 November 2014)

To assist candidates preparing for this year’s BMO Round 1, video solutions to last year’s paper are again available online.

BMO1 for 2014/2015 will be sat on 28 November. Because of candidates sitting the paper in different time zones, an embargo on public discussion of the paper will apply until the problems and solutions appear on this site the following morning.

(24 October 2014)

The following participants in the UK Mathematical Olympiad for Girls (UK MOG) have been awarded book prizes.

Olivia Aaronson
Hannah Black
Rosie Cates
Sophie Crane
Yanni Du
Katherine Horton
Olivia Hu
Claire Jang
Liberty Jones
Sophie Jones
Julie Jouas Yosano
Tomoka Kan
Kirsten Land
Bridget Langford
Jackie Li
Sophie Maclean
Georgina Majury
Eve Pound
Sophie Sadler
Xinyu Shen
Polina Skliarevitch
Marguerite Tong
Alice Vaughan-Williams
Naomi Wei
Emily Wolfenden
Joanna Yass
Danshu Zhang
Duo Zhao

(19 October 2014)

The solutions to the 2014 UK Mathematical Olympiad for Girls paper now include extended discussions of the problems and the approaches taken by candidates.

(17 October 2014)

The UK Mathematical Olympiad for Girls (UK MOG) was marked on 4–5 October in Cambridge. The following candidates scored 31 or more out of 50. Results will be received by schools after half-term.

Kirsten Land50
Mingdu Li48
Danshu Zhang43
Joanna Yass42
Olivia Aaronson41
Rosie Cates41
Liberty Jones41
Sophie Maclean39
Tomoka Kan38
Duo Zhao36
Claire Jang35
Jinhao Lon34
Georgina Majury34
Katherine Horton33
Jackie Li33
Eve Pound33
Marguerite Tong33
Alice Vaughan-Williams33
Xinyu Shen32
Polina Skliarevitch32
Julie Jouas Yosano31
Naomi Wei31

(28 September 2014)

An unofficial report on IMO 2014 from the student perspective, by UK team member Gabriel Gendler, is now available.

(26 September 2014)

Solutions to the UK MOG 2014 paper are now available; these will be expanded after marking.

(25 September 2014)

The 2014 olympiad teams’ achievements were celebrated at the Royal Society on Thursday 25 September; Professor Bernard Silverman FRS gave the 37th annual IMO lecture, on “Mathematics and Science in the Home Office”.

(24 September 2014)

The UK Mathematical Olympiad for Girls (UK MOG) paper was taken yesterday. Solutions will appear later. The paper will be marked on the weekend of 4–5 October.

(7 August 2014)

A report on IMO 2014 by Deputy Leader Dominic Yeo is now available.

(23 July 2014)

The reports on past IMOs now include Geoff Smith’s report on IMO 2014.

(11 July 2014)

The IMO papers were sat on 8 and 9 July. The results of the UK team members are shown below. We obtained four Silver and two Bronze medals and a score of 142 out of 252, coming 20th out of 101 participating countries. The medal boundaries were for 29 for Gold, 22 for Silver and 16 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Joe Benton 7 5 1 7 4 024Silver Medal
Gabriel Gendler 7 6 0 7 2 022Silver Medal
Frank Han 7 4 0 7 2 020Bronze Medal
Freddie Illingworth 5 7 0 7 2 021Bronze Medal
Warren Li 7 7 0 7 7 028Silver Medal
Harvey Yau 7 6 0 7 7 027Silver Medal

The team leaves Cape Town on Sunday 13 July and arrives back in the UK on Monday 14 July. The achievements of this year’s UK olympiad teams will be celebrated at the Royal Society on Thursday 25 September, when Professor Bernard Silverman FRS will give the 37th annual IMO lecture, on “Mathematics and Science in the Home Office”.

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

(11 July 2014)

The 60th International Mathematical Olympiad will be held in the UK in July 2019.

(9 July 2014)

The IMO 2014 papers were sat on 8 and 9 July in Cape Town; the problems (day 1, day 2) are available. The problems were submitted by Austria, Croatia, Iran, Georgia, Luxembourg and Austria / USA respectively.

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

(5 July 2014)

The UK has won the seventh Mathematics Ashes competition, decided on the results of today’s practice exam at the joint pre-IMO training camp in Cape Town; the results for the two teams were as follows, with the UK scoring a total of 59 and Australia scoring a total of 50:

CodeName Q1Q2Q3Total
UNK1Joe Benton 77014
UNK2Gabriel Gendler 7018
UNK3Frank Han 5005
UNK4Freddie Illingworth7209
UNK5Warren Li 77014
UNK6Harvey Yau 2709
AUS1Alexander Gunning 77721
AUS2Seyoon Ragavan 7007
AUS3Mel Shu 7018
AUS4Yang Song 7007
AUS5Praveen Wijerathna 0000
AUS6Damon Zhong 7007

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

(4 June 2014)

The European Girls’ Mathematical Olympiad information now includes Hannah Roberts’s report on the 2014 olympiad.

(28 May 2014)

After the training camp held at Oundle School, 24–28 May, the team of six for the IMO in Cape Town, South Africa has been chosen as:

NameSchool
Joe BentonSt Paul’s School
Gabriel GendlerQueen Elizabeth’s School
Frank HanDulwich College
Freddie IllingworthMagdalen College School
Warren LiFulford School
Harvey YauYsgol Dyffryn Taf

The four reserves are:

NameSchool
Liam HughesRobert Smyth Academy
Andrew Kenyon-RobertsAberdeen Grammar School
Neel Nanda (first reserve)Latymer School
Linden RalphHills Road VI Form College

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of Worcester College, Oxford. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 3–13 July.

(21 May 2014)

An unofficial report on the Balkan Mathematical Olympiad 2014 from the student perspective, by the UK team, is now available.

(7 May 2014)

Following his performance at the Balkan Mathematical Olympiad, Linden Ralph has been added to the squad from which the team for the IMO in Cape Town, South Africa will be selected. The squad of ten, from which a team of six and four reserves will be selected, now is:

NameSchool
Joe BentonSt Paul’s School
Gabriel GendlerQueen Elizabeth’s School
Frank HanDulwich College
Liam HughesRobert Smyth Academy
Freddie IllingworthMagdalen College School
Andrew Kenyon-RobertsAberdeen Grammar School
Warren LiFulford School
Neel NandaLatymer School
Linden RalphHills Road VI Form College
Harvey YauYsgol Dyffryn Taf

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of Worcester College, Oxford. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 3–13 July. The final team will be selected at the Oundle training camp held 24–28 May.

(5 May 2014)

The UK team in the Balkan Mathematical Olympiad in Pleven, Bulgaria have achieved the following scores (each question marked out of 10), coming 10th out of 20 participating (member and guest) countries. The medal cut-offs were 40 for gold, 33 for silver and 19 for bronze.

Name Q1Q2Q3Q4TotalMedal
Joe Benton 10 21010 32Bronze Medal
Liam Hughes 010 0 0 10Honourable Mention
Neel Nanda 010 0 3 13Honourable Mention
Linden Ralph 101010 4 34Silver Medal
Kasia Warburton 010 0 4 14Honourable Mention
Harvey Yau 1010 010 30Bronze Medal

(4 May 2014)

The Balkan Mathematical Olympiad paper was sat today. The problems were proposed by the UK (David Monk), Romania, Greece and the UK (Sahl Khan) respectively.

(25 April 2014)

An unofficial report on the European Girls’ Mathematical Olympiad 2014 from the student perspective, by the UK team, is now available.

(14 April 2014)

The UK team in the third European Girls’ Mathematical Olympiad have achieved the following results, coming 8th out of 29 participating teams. The medal boundaries are 24 for gold, 16 for silver and 7 for bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Olivia Aaronson 0 0 0 2 2 0 4
Katya Richards 6 0 0 7 7 0 20Silver Medal
Eloise Thuey 2 2 0 1 0 1 6
Kasia Warburton 6 0 2 7 3 0 18Silver Medal

(13 April 2014)

The problems from the second paper at the third European Girls’ Mathematical Olympiad, sat today in Turkey, are now available. The problems were submitted by the Netherlands, Romania and the Netherlands respectively.

(12 April 2014)

The problems from the first paper at the third European Girls’ Mathematical Olympiad, sat today in Turkey, are now available. The problems were submitted by the UK, Ukraine and Japan respectively; problem 1 was by Sahl Khan.

(10 April 2014)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Pleven, Bulgaria from 2–7 May. The Team Leader is Jack Shotton of Imperial College, London and the Deputy Leader is Dr Gerry Leversha, formerly of St Paul’s School. After the training camp held at Trinity College, Cambridge from 3–7 April, the team has been selected as follows.

NameSchool
Joe BentonSt Paul’s School
Liam HughesRobert Smyth Academy
Neel NandaLatymer School
Linden RalphHills Road VI Form College
Kasia WarburtonReigate Grammar School
Harvey YauYsgol Dyffryn Taf

(7 April 2014)

At the training camp held at Trinity College, Cambridge from 3–7 April, the squad of nine from which the team of six and three reserves for the IMO in Cape Town, South Africa will be selected has been chosen as:

NameSchool
Joe BentonSt Paul’s School
Gabriel GendlerQueen Elizabeth’s School
Frank HanDulwich College
Liam HughesRobert Smyth Academy
Freddie IllingworthMagdalen College School
Andrew Kenyon-RobertsAberdeen Grammar School
Warren LiFulford School
Neel NandaLatymer School
Harvey YauYsgol Dyffryn Taf

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dominic Yeo of Worcester College, Oxford. Jill Parker (formerly of the University of Bath) will be Observer with Contestants. The IMO will take place from 3–13 July. The final team will be selected at the Oundle training camp held 24–28 May.

(10 February 2014)

The Christopher Bradley elegance prize is awarded to Edward Kirkby (Alton College) and Linden Ralph (Hills Road VI Form College) for their solutions to BMO2 problem 4.

(8 February 2014, reserve announced 13 February 2014)

The third European Girls’ Mathematical Olympiad will be held in Antalya, Turkey from 10–16 April. The UK team will be:

NameSchool
Olivia AaronsonSt Paul’s Girls’ School
Katya RichardsSchool of St Helen and St Katharine
Eloise ThueyCaistor Grammar School
Kasia WarburtonReigate Grammar School

The reserve is Alyssa Dayan of Westminster School. The Team Leader is Hannah Roberts of Pembroke College, Oxford and the Deputy Leader is Jo Harbour of Mayfield Primary School, Cambridge.

(8 February 2014, corrected 6 March 2014 and 26 March 2014, New Zealand results added 28 March 2014)

BMO Round 2 was marked in London on 8 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 26 or more out of 40.

George Han (NZ)40
Linden Ralph39
Freddie Illingworth38
Chen Lu38
Harvey Yau38
Joe Benton37
Andrew Kenyon-Roberts37
Changshuo Liu34
Katya Richards34
Harry Metrebian33
Edward Kirkby32
Ramsay Pyper32
Olivia Aaronson30
Liam Hughes30
Samuel Kittle30
Neel Nanda30
Esteban Gomezllata29
Ben Grant29
Warren Li29
Askhat Sarkeev29
Adam Weller29
James Davies28
Gareth Jones28
Gabriel Gendler27

(31 January 2014)

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

(22 January 2014)

The Romanian Master of Mathematics 2014 competition has been cancelled because of funding problems.

(6–8 December 2013, New Zealand results added 21 December)

BMO Round 1 was marked in Peterborough on 6–8 December; 23 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 45 or more out of 60.

Zhenyu Han60
Freddie Illingworth60
Ramsay Pyper60
Tsz Hin Fung59
Warren Li59
Joe Benton54
George Fortune54
Eloise Thuey54
Harvey Yau54
George Han (NZ)53
Liam Hughes53
Gabriel Gendler52
Qiang Ha51
Lawrence Hollom51
Jacob Coxon50
Tian Bei Li50
Askhat Sarkeev50
Andrew Kenyon-Roberts49
Jiani Li49
Harry Metrebian49
Akuan Liu48
Marius Tirlea48
Harvey Uy48
Adam Weller48
Ben Grant47
Jongheon Jeon47
Su Jeong Kim (NZ)47
Samuel Kittle47
Roi Makov47
Rachel Newhouse47
Yiqin Wang47
Neel Nanda46
Olivia Aaronson45
Hoseong Seo45
Danshu Zhang45

(30 November 2013)

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.

(3 November 2013)

To assist candidates preparing for this year’s BMO Round 1, video solutions to last year’s paper are again available online.

BMO1 for 2013/2014 will be sat on 29 November. Because of candidates sitting the paper in different time zones, an embargo on public discussion of the paper will apply until the problems and solutions appear on this site the following morning.

(20 October 2013)

There will be a new annual prize available to entrants of the British Mathematical Olympiad round 2, in memory of Christopher Bradley. The award will be known as the “Christopher Bradley elegance prize”, and will be awarded to the candidate or candidates who, in the opinion of the markers, has submitted the most elegant solution or solutions to a BMO2 problem or problems. The maximum prize in any one year is £500 (which will be adjusted for inflation from time to time). This sum, or a smaller sum, may be awarded to a single individual or divided among several individuals in any way that the markers see fit. It is possible that, in some years, the prize may not be awarded. In the event that the markers are unable to agree on the distribution of a Christopher Bradley prize in a given year, the final decision rests with the chair of the marking committee.

The prize is funded by the royalties of Christopher Bradley’s UKMT books, kindly donated by his heirs in Christopher’s memory.

(16 October 2013)

The solutions to the 2013 UK Mathematical Olympiad for Girls paper now include extended discussions of the problems and the approaches taken by candidates.

(11 October 2013)

The UK Mathematical Olympiad for Girls (UK MOG) was marked on Sunday in Cambridge. The following candidates scored 35 or more out of 50.

Katya Richards50
Eloise Thuey50
Rosemary Walmsley49
Jessica Yung48
Elizabeth Lee47
Olivia Aaronson44
Rosie Cates44
Regine Fan43
Eve Pound43
Beth Hundleby42
Danshu Zhang42
Gloria Yin41
Margaret Duff40
Kasia Warburton39
Georgina Majury38
Esha Dasgupta37
Tomoka Kan36
Molly Savill36
Mijoo Choi35

(30 September 2013)

The 2013 olympiad teams’ achievements were celebrated at the Royal Society on Monday 30 September; Professor Kevin Buzzard gave the 36th annual IMO lecture, on “Solving equations using geometry”.

(30 September 2013)

The UK Mathematical Olympiad for Girls (UK MOG) paper was taken on Thursday. Solutions are also available; these will be expanded after marking. The paper will be marked on Sunday 6 October.

(24 September 2013)

Ben Elliott, a young man of exceptional talent, died on 21 September 2013, following complications associated with medical treatment. He represented the UK at the Balkan Mathematical Olympiad in Moldova (2010), the Romanian Master of Mathematics (2011) and the International Mathematical Olympiad in the Netherlands (2011). He was the top scorer at BMO2 in 2011, when he was a student at Godalming College. Since October 2011, he was reading mathematics at Trinity College, Cambridge, where he rapidly became an enthusiastic volunteer for olympiad activities.

BMOS had hoped that he would be the local organiser of our Trinity Camp in 2014, since he was both extremely popular and had a talent for helping others to work together. He is sorely missed, and we pass on our sympathy to his family.

(14 September 2013)

A second unofficial report on IMO 2013 from the student perspective, by UK team member Andrew Carlotti, is now available.

(14 September 2013)

A report on IMO 2013 by Deputy Leader Dominic Yeo is now available.

(10 September 2013)

An unofficial report on the Balkan Mathematical Olympiad 2013 from the student perspective, by the UK team, is now available.

(31 August 2013, updated 5 September 2013)

UK MOG, to be held on Thursday 26 September, is aimed at girls in Years 11, 12 and 13 who enjoy challenging maths problems. Younger girls may also enter, but you should note that some questions may require topics from the GCSE syllabus. The main aim of this competition is to introduce students to maths olympiad style problems. Those who find that they enjoy them can then join one of the UKMT mentoring schemes and enter further competitions.

This year, UK MOG will be held at the end of September, in order to allow us to identify students who would benefit from further training. The team for the European Girls’ Mathematical Olympiad (EGMO) will be selected in February based on BMO1 and BMO2 results.

Because the main purpose of the competition is to give students a taste of maths olympiads, the format of the paper will be different from previous years. Some questions will be in two parts: part (b) will be the main problem, carrying the majority of marks; part (a) will ask students to prove a result that should help them solve the main problem—it could be an easier version, or a related problem, or a preliminary result that will be needed in the main proof. (For those familiar with them, this is similar to some STEP questions, where question parts are of increasing difficulty but use the same idea.) It is hoped that the new format will help those students who are not familiar with common olympiad “tricks”.

UK MOG will be a 2½-hour paper with five problems.

As this paper will follow a new format, there are no past papers in this format. However, the difficulty of the questions will be similar to the Intermediate Olympiad Maclaurin paper.

To register your student for UK MOG 2013, please contact enquiry@ukmt.org.uk with the following information: student full name, date of birth, school year, school name, UKMT centre number, and confirmation of student eligibility (either eligible for a UK passport describing them as a British Citizen, or will have completed 3 full years of full-time secondary education in the UK by the time they leave school). Your registration will be acknowledged and the paper will be sent by email to the contact teacher on Tuesday 24 September for the paper to be sat on Thursday 26 September.

(17 August 2013)

An unofficial report on IMO 2013 from the student perspective, by UK team member Warren Li, is now available.

(5 August 2013)

The reports on past IMOs now include Geoff Smith’s report on IMO 2013.

(4 August 2013)

The Balkan Mathematical Olympiad information now includes Geoff Smith’s report on the 2013 olympiad.

(1 August 2013)

Photos of the IMO team for press use are now available.

(29 July 2013)

A press release about the UK performance at IMO 2013 is now available.

(27 July 2013)

The IMO papers were sat on 23 and 24 July. The results of the UK team members are shown below. We obtained two Gold, three Silver and one Bronze medals and a score of 171 out of 252, coming 9th out of 97 participating countries. The medal boundaries were for 31 for Gold, 24 for Silver and 15 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Andrew Carlotti 7 7 0 7 7 634Gold Medal
Gabriel Gendler 7 5 0 7 6 025Silver Medal
Daniel Hu 7 7 0 7 7 230Silver Medal
Sahl Khan 7 0 0 7 7 021Bronze Medal
Warren Li 7 7 0 7 7 028Silver Medal
Matei Mandache 7 7 0 7 7 533Gold Medal

The team leaves Santa Marta on Sunday 28 July and arrives back in the UK on Monday 29 July. The achievements of this year’s UK olympiad teams will be celebrated at the Royal Society on Monday 30 September, when Professor Kevin Buzzard will give the 36th annual IMO lecture, on “Solving equations using geometry”.

(24 July 2013)

The IMO papers were sat on 23 and 24 July in Santa Marta; the problems (day 1, day 2) are available. The problems were submitted by Japan, Australia, Russia, Thailand, Bulgaria and Russia respectively.

(20 July 2013)

The UK has won the sixth Mathematics Ashes competition, decided on the results of today’s practice exam at the joint pre-IMO training camp in Santa Marta; the results for the two teams were as follows, with the UK scoring a total of 82 and Australia scoring a total of 81:

CodeName Q1Q2Q3Total
UNK1Andrew Carlotti 77014
UNK2Gabriel Gendler 76013
UNK3Daniel Hu 76013
UNK4Sahl Khan 0707
UNK5Warren Li 77014
UNK6Matei Mandache 77721
AUS1Alexander Chua 77014
AUS2Alexander Gunning77014
AUS3Jason Kwong 77014
AUS4Seyoon Ragavan 74011
AUS5Rachel Wong 77014
AUS6Jonathan Zheng 77014

(11 July 2013, memorial details added 18 July 2013)

Christopher Bradley died on July 11th. In our community he is well-known for his books written for UKMT, his role as deputy leader of the IMO team some time ago, and for the large number of problems which he created to support the British Mathematical Olympiad and international mathematics competitions. We had planned to present him with a UKMT gold medal for his service to maths competitions this year, and he knew this.

Donations in his memory can be made to UKMT and Diabetes UK and a memorial service will be held at 3:15pm on 25 July at Clifton College Chapel, Bristol.

(1 July 2013)

The UK team in the Balkan Mathematical Olympiad in Agros, Cyprus have achieved the following scores (each question marked out of 10), coming 5th out of the participating (member and guest) countries. The medal cut-offs were 31 for gold, 20 for silver and 8 for bronze.

CodeName Q1Q2Q3Q4TotalMedal
UNK1Oliver Feng 1010 0 020Silver Medal
UNK2William Gao 2 3 1 0 6
UNK3Frank Han 10 810 129Silver Medal
UNK4Freddie Illingworth101010 434Gold Medal
UNK5Maria Holdcroft 101010 030Silver Medal
UNK6Warren Li 0 310 114Bronze Medal

(30 June 2013)

The Balkan Mathematical Olympiad paper was sat today; the problems and proposing countries are:

  1. In a triangle ABC, the excircle ωa opposite A touches AB at P and AC at Q, and the excircle ωb opposite B touches BA at M and BC at N. Let K be the projection of C onto MN and let L be the projection of C onto PQ. Show that the quadrilateral MKLP is cyclic.

    (Bulgaria)

  2. Determine all positive integers x, y and z such that x5 + 4y = 2013z.

    (Serbia)

  3. Let S be the set of positive real numbers. Find all functions fS3 → S such that, for all positive real numbers x, y, z and k, the following three conditions are satisfied:

    (a) xf(xyz) = zf(zyx),

    (b) f(xykk2z) = kf(xyz),

    (c) f(1, kk+1) = k+1.

    (United Kingdom: J. E. Smith)

  4. In a mathematical competition, some competitors are friends; friendship is mutual, that is to say that when A is a friend of B, then B is also a friend of A. We say that n ≥ 3 different competitors A1, A2, …, An form a weakly-friendly cycle if Ai is not a friend of Ai+1 for 1 ≤ i ≤ n (An+1 = A1), and there are no other pairs of non-friends among the compenents of the cycle.

    The following property is satisfied:

    for every competitor C and every weakly-friendly cycle S of competitors not including C, the set of competitors D in S which are not friends of C has at most one element.

    Prove that all competitors of this mathematical competition can be arranged into three rooms, such that every two competitors in the same room are friends.

    (Serbia)

(26 June 2013)

An unofficial report on the European Girls’ Mathematical Olympiad 2013 from the student perspective, by the UK team, is now available.

(29 May 2013)

After the training camp held at Oundle School from 25–29 May, the team of six for the IMO in Santa Marta, Colombia has been chosen as:

NameSchool
Andrew CarlottiSir Roger Manwood’s School
Gabriel GendlerQueen Elizabeth’s School
Daniel HuCity of London School
Sahl KhanSt Paul’s School
Warren LiFulford School
Matei MandacheLoughborough Grammar School

The three reserves are:

NameSchool
Frank Han (first reserve)Dulwich College
Maria HoldcroftWillink School
Freddie IllingworthMagdalen College School

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.

(8 May 2013)

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

(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.

NameSchool
Oliver FengEton College
William GaoMerchiston Castle School
Frank HanDulwich College
Maria HoldcroftWillink School
Freddie IllingworthMagdalen College School
Warren LiFulford School

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

(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.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Maria Holdcroft 7 5 0 7 0 1 20Bronze Medal
Elizabeth Lee 7 6 3 6 0 1 23Silver Medal
Katya Richards 7 5 0 1 0 1 14Honourable Mention
Kasia Warburton 1 7 0 5 0 0 13Honourable Mention

(11 April 2013)

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

(10 April 2013)

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

(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:

NameSchool
Andrew CarlottiSir Roger Manwood’s School
Gabriel GendlerQueen Elizabeth’s School
Frank HanDulwich College
Maria HoldcroftWillink School
Daniel HuCity of London School
Freddie IllingworthMagdalen College School
Sahl KhanSt Paul’s School
Warren LiFulford School
Matei MandacheLoughborough Grammar School

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.

(3 April 2013)

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

(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.

(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.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Andrew Carlotti 0 7 0 7 7 7 28Silver Medal
Gabriel Gendler 0 0 0 7 0 7 14Honourable Mention
Daniel Hu 2 7 7 7 7 4 34Gold Medal
Sahl Khan 7 0 0 1 7 0 15Honourable Mention
Warren Li 5 0 0 6 7 0 18Bronze Medal
Matei Mandache 7 7 0 7 7 7 35Gold Medal

(3 March 2013)

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

(2 March 2013)

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

(9 February 2013)

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

NameSchool
Maria HoldcroftWillink School
Elizabeth LeeLoughborough High School
Katya RichardsSchool of St Helen and St Katharine
Kasia WarburtonReigate Grammar School

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.

(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:

NameSchool
Andrew CarlottiSir Roger Manwood’s School
Gabriel GendlerQueen Elizabeth’s School
Daniel HuCity of London School
Sahl KhanSt Paul’s School
Warren LiFulford School
Matei MandacheLoughborough Grammar School

(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.

Daniel Hu40
Matei Mandache40
Sahl Khan39
Andrew Carlotti38
Warren Li33
Edward Kirkby30
Gabriel Gendler29
Zhenyu Han29
Tianbei Li28
Marius Tirlea27
Hongmin Gao26
Harry Metrebian24
George Han (NZ)22
Ramsay Pyper22
Pascal Bose21
Oliver Feng20
Liam Hughes20
Freddie Illingworth20
Gareth Jones20
Hoseong Seo20
Joseph Tomkinson20
Matthew Jasper19
Linden Ralph18
Madhi Elango17
Remy Naylor17
Maria Holdcroft16
Harvey Yau16
Byung-Cheol Cho (NZ)15

(1 February 2013)

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

(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.

(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.

Andrew Carlotti60
Madhi Elango60
Oliver Feng60
Alex Harris60
Maria Holdcroft60
Daniel Hu60
Freddie Illingworth60
Edward Kirkby60
Matei Mandache60
Ian Seong (NZ)60
Matthew Jasper59
Natalia Chen (NZ)58
Gabriel Gendler58
Sahl Khan58
Jaehwan Kim (NZ)57
Yuting Li57
Ian Fan55
Ramsay Pyper53
Linden Ralph52
Harvey Yau52
Monika Dec51
Hongmin Gao50
Mikita Kudlovich50
Warren Li50
Remy Naylor50
Qin Zou50

(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.

(11 October 2012)

The solutions to the 2012 UK Mathematical Olympiad for Girls paper now include extended discussions of the problems and the approaches taken by candidates.

(1 October 2012)

The 2012 olympiad teams’ achievements were celebrated at the Royal Society on Monday 1 October; Professor Ben Green FRS gave the 35th annual IMO lecture, on “Prime Numbers”.

(30 September 2012)

The UK Mathematical Olympiad for Girls (UK MOG) was marked today in London. The following candidates scored 18 or more out of 50. Statistics of results are also available.

Maria Holdcroft42
Katya Richards40
Monika Dec33
Chuyi Yang32
Yuting Li21
Celia Shen21
Heidy Kang20
Alvina Ip19
Yan (Vicky) Xu19

(21 September 2012)

The UK Mathematical Olympiad for Girls (UK MOG) paper was taken yesterday. Outline solutions are also available; these will be expanded after marking. The paper will be marked on Sunday 30 September.

(14 August 2012)

A second unofficial report on IMO 2012 from the student perspective, by UK team member Andrew Carlotti, is now available.

(1 August 2012)

An unofficial report on IMO 2012 from the student perspective, by UK team member Daniel Hu, is now available.

(24 July 2012)

Some observations on IMO 2012 by Geoff Smith, former UK Leader and elected member of the IMO Advisory Board, are now available.

(24 July 2012)

The reports on past IMOs now include James Cranch’s report on IMO 2012.

(16 July 2012)

A press release about the UK performance at IMO 2012 is now available.

(15 July 2012)

The IMO papers were sat on 10 and 11 July. The results of the UK team members are shown below. We obtained one Gold, one Silver and four Bronze medals and a score of 115 out of 252, coming equal 22nd out of 100 participating countries. The medal boundaries were for 28 for Gold, 21 for Silver and 14 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
James Aaronson 7 0 4 7 2 020Bronze Medal
Sam Cappleman-Lynes 7 0 0 7 0 014Bronze Medal
Andrew Carlotti 7 7 5 6 0 429Gold Medal
Daniel Hu 7 0 0 7 2 016Bronze Medal
Josh Lam 7 1 0 7 7 022Silver Medal
Matei Mandache 1 4 0 7 0 214Bronze Medal

The team leaves Mar del Plata on Monday 16 July and arrives back in the UK on Tuesday 17 July. The achievements of this year’s UK olympiad teams will be celebrated at the Royal Society on Monday 1 October; Professor Ben Green FRS will give the 35th annual IMO lecture, on “Prime Numbers”.

(11 July 2012)

The IMO papers were sat on 10 and 11 July in Mar del Plata; the problems are available.

(7 July 2012)

The UK has won the fifth Mathematics Ashes competition, decided on the results of today’s practice exam at the joint pre-IMO training camp in Quilmes; the results for the two teams were as follows, with the UK scoring a total of 72 and Australia scoring a total of 52:

CodeName Q1Q2Q3Total
UNK1James Aaronson 70714
UNK2Sam Cappleman-Lynes7018
UNK3Andrew Carlotti 70714
UNK4Daniel Hu 70714
UNK5Josh Lam 67013
UNK6Matei Mandache 7029
AUS1Kaimyn Chapman 7018
AUS2Nancy Fu 7108
AUS3Alexander Gunning 70714
AUS4Jason Kwong 7007
AUS5John Papantoniou 7007
AUS6Yanning Xu 7108

(6 June 2012)

After the training camp held at Oundle School from 2–6 June, the team of six for the IMO in Mar del Plata, Argentina has been chosen as:

NameSchool
James AaronsonSt Paul’s School
Sam Cappleman-LynesShebbear College
Andrew CarlottiSir Roger Manwood’s School
Daniel HuCity of London School
Joshua LamThe Leys School
Matei MandacheLoughborough Grammar School

The three reserves are:

NameSchool
Gabriel GendlerQueen Elizabeth’s School
Adam Goucher (first reserve)Netherthorpe School
Katya RichardsSchool of St Helen and St Katharine

The Team Leader is Dr James Cranch of the University of Sheffield and the Deputy Leader is Jack Shotton of Imperial College, London. Dr Geoff Smith of the University of Bath, elected member of the IMO Advisory Board, will be Observer with Leader and Beverley Detoeuf of UKMT will be Observer with Contestants. The IMO will take place from 4–16 July. Joint pre-IMO training with the Australian IMO team will take place at St George’s College, Quilmes from 2–8 July.

(23 May 2012)

An unofficial report on the Balkan Mathematical Olympiad 2012 from the student perspective, by UK team member Gabriel Gendler, is now available.

(16 May 2012)

The European Girls’ Mathematical Olympiad information now includes Alison Zhu’s report on the 2012 olympiad.

(12 May 2012)

The Balkan Mathematical Olympiad information now includes Geoff Smith’s report on the 2012 olympiad.

(5 May 2012)

An unofficial report on the European Girls’ Mathematical Olympiad 2012 from the student perspective, by UK team member Natalie Behague, is now available.

(1 May 2012)

Following his performance at the Balkan Mathematical Olympiad, Matei Mandache has been added to the squad from which the team for the IMO in Mar del Plata, Argentina will be selected. The squad of nine, from which a team of six and three reserves will be selected, now is:

NameSchool
James AaronsonSt Paul’s School
Sam Cappleman-LynesShebbear College
Andrew CarlottiSir Roger Manwood’s School
Gabriel GendlerQueen Elizabeth’s School
Adam GoucherNetherthorpe School
Daniel HuCity of London School
Joshua LamThe Leys School
Matei MandacheLoughborough Grammar School
Katya RichardsSchool of St Helen and St Katharine

The Team Leader is Dr James Cranch of the University of Sheffield and the Deputy Leader is Jack Shotton of Imperial College, London. Dr Geoff Smith of the University of Bath, elected member of the IMO Advisory Board, will be Observer with Leader and Beverley Detoeuf of UKMT will be Observer with Contestants. The IMO will take place from 4–16 July. The final team will be selected at the Oundle training camp held 2–6 June.

(30 April 2012)

The UK team in the Balkan Mathematical Olympiad in Antalya, Turkey have achieved the following scores (each question marked out of 10). The medal cut-offs were 39 for gold, 30 for silver and 20 for bronze.

Name Q1Q2Q3Q4TotalMedal
Robin Elliott 810 8 127Bronze Medal
Gabriel Gendler 1 910 020Bronze Medal
Daniel Hu 10 0101030Silver Medal
Matthew Jasper 4 010 115Honourable Mention
Matei Mandache 1010 9 433Silver Medal
Harry Metrebian10 4 0 014Honourable Mention

(28 April 2012)

The Balkan Mathematical Olympiad paper was sat today; the problems are available from Mathlinks.

(22 April 2012)

An unofficial report on the Romanian Master of Mathematics 2012 from the student perspective, by UK team member James Aaronson, is now available.

(14 April 2012)

The UK team in the inaugural European Girls’ Mathematical Olympiad have achieved the following results, coming 12th out of 19 participating teams. The medal boundaries are 35 for gold, 26 for silver and 14 for bronze.

Name Q1Q2Q3Q4Q5Q6Q7Q8TotalMedal
Natalie Behague 7 1 0 0 3 7 5 023Bronze Medal
Elizabeth Lee 0 1 0 0 0 0 0 0 1
Ella Mi 0 1 0 0 1 0 0 0 2
Katya Richards 0 7 2 0 1 0 7 017Bronze Medal

(13 April 2012)

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

(12 April 2012)

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

(2 April 2012)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Antalya, Turkey from 26 April–2 May. The 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. After the training camp held at Trinity College, Cambridge from 29 March–2 April, the team has been selected as follows.

NameSchool
Robin ElliottReading School
Gabriel GendlerQueen Elizabeth’s School
Daniel HuCity of London School
Matthew JasperSt Crispin’s School
Matei MandacheLoughborough Grammar School
Harry MetrebianWinchester College

(2 April 2012)

After the training camp held at Trinity College, Cambridge from 29 March–2 April, the squad of eight from which the team of six and two reserves for the IMO in Mar del Plata, Argentina will be selected has been chosen as:

NameSchool
James AaronsonSt Paul’s School
Sam Cappleman-LynesShebbear College
Andrew CarlottiSir Roger Manwood’s School
Gabriel GendlerQueen Elizabeth’s School
Adam GoucherNetherthorpe School
Daniel HuCity of London School
Joshua LamThe Leys School
Katya RichardsSchool of St Helen and St Katharine

The Team Leader is Dr James Cranch of the University of Sheffield and the Deputy Leader is Jack Shotton of Imperial College, London. Dr Geoff Smith of the University of Bath, elected member of the IMO Advisory Board, will be Observer with Leader. The IMO will take place from 4–16 July. The final team will be selected at the Oundle training camp held 2–6 June.

(15 March 2012)

The Romanian Master of Mathematics information now includes James Cranch’s report on RMM 2012.

(3 March 2012)

The UK team in the Romanian Master of Mathematics competition have achieved the following results, coming 8th 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 28 for gold, 22 for silver and 14 for bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
James Aaronson 7 0 6 7 7 0 27Silver Medal
Sam Cappleman-Lynes 7 0 0 0 0 1 8Honourable Mention
Andrew Carlotti 7 0 0 6 7 0 20Bronze Medal
Sahl Khan 0 1 0 7 0 0 8Honourable Mention
Joshua Lam 0 0 0 7 1 0 8Honourable Mention
Vishal Patil 0 0 0 5 0 0 5

(3 March 2012)

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

(2 March 2012)

The problems from the first paper at this year’s Romanian Master of Mathematics competition, sat today, are now available. Problems 2 and 3 are UK submissions; Problem 2 is by David Monk and Problem 3 by Ben Elliott.

(12 February 2012)

The inaugural European Girls’ Mathematical Olympiad will be held at Murray Edwards College, Cambridge from 10–16 April. The UK team will be:

NameSchool
Natalie BehagueDartford Girls’ Grammar School
Elizabeth LeeLoughborough High School
Ella MiThe King’s School, Peterborough
Katya RichardsSchool of St Helen and St Katharine

The reserve is Emily Bain (Durham Johnston School). The Team Leader is Alison Zhu of Trinity College, Cambridge and the Deputy Leader is Jo Harbour of Wolvercote Primary School.

(4 February 2012)

The UK will compete again in the Romanian Master of Mathematics competition in 2012, to be held from 29 February–4 March. The Team Leader will be Dr James Cranch of the University of Sheffield and the Deputy Leader will be James Gazet of Eton College. The UK team will be:

NameSchool
James AaronsonSt Paul’s School
Sam Cappleman-LynesShebbear College
Andrew CarlottiSir Roger Manwood’s School
Sahl KhanSt Paul’s School
Joshua LamThe Leys School
Vishal PatilKing Edward’s School, Birmingham

(4 February 2012, New Zealand results added 8 February, late scores added 14 and 21 February)

BMO Round 2 was marked in London on 4 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 11 or more out of 40.

Joshua Lam40
Sam Cappleman-Lynes37
James Aaronson33
Andrew Carlotti21
Sahl Khan21
Vishal Patil21
James Allen (NZ)20
Byung-Cheol Cho (NZ)20
Robin Elliott20
Dalton Yin-Nam Fung20
Daniel Hu20
Jonathan Kwan20
Harry Metrebian20
Zimo Yang20
Quang Son Nguyen19
Adam Goucher14
Matthew Jaspar14
Hao Jeng (NZ)14
Oliver Feng12
Gabriel Gendler12
Jihoon Lee12
Andrew Mcclement12
Dominik Teiml12
Harvey Yau12
Stephen Brown11
Natalia Chen (NZ)11
Monica Dec11
Michael Dunngoekjian11
Eigen Horsfield11
Freddie Illingworth11
Andrew Kirk11
Matei Mandache11
Remy Naylor11
Kwesi Peterson11
Ramsay Pyper11
Katya Richards11
Daochen Wang11
Ruijia Wu11

(27 January 2012)

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

(16 December 2011)

The BMO2 qualifying cut-off scores are 39 for students in year 13 (England and Wales), year S6 (Scotland), year 14 (Northern Ireland); 35 for students in year 12 (England and Wales), year S5 (Scotland), year 13 (Northern Ireland); 30 for students in year 11 (England and Wales), year S4 (Scotland), year 12 (Northern Ireland); and 25 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 £23. BMO2 will take place on 26 January 2012.

(9–13 December 2011, New Zealand results added 17 December, high score from late script added 28 December)

BMO Round 1 was marked in Cambridge on 9–11 December; 20 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.

James Aaronson60
James Allen (NZ)60
Sam Cappleman-Lynes60
Andrew Carlotti60
Dalton Fung60
Zhenyu Han60
Daniel Hu60
Sahl Khan60
Joshua Lam60
Vishal Patil60
Duncan Bell59
Adam Goucher59
Matei Mandache59
Arun Shanmuganathan (NZ)59
Vladimir Vankov59
George Han (NZ)57
Quang Son Nguyen56
Robin Elliott55
Oliver Feng55
Iliya Buyanovsky54
Dominik Teiml54
Zhaoxin Wang53
Ruijia Wu53
Zimo Yang53
Katya Richards52
Monica Dec51
Ralph Jordan51
Edward Kirkby51
Max Baxter Allen50
Natalie Behague50
Samuel Davenport50
Rafi Dover50
Michael Dunngoekjian50
Gabriel Gendler50
Jonathan Kwan50
Warren Li50
Harry Metrebian50

(3 December 2011)

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.

(26 September 2011)

The 2011 olympiad teams’ achievements were celebrated at the Royal Society on Monday 26 September; Professor József Pelikán gave the 34th annual IMO lecture, on “The early years of the International Mathematical Olympiad”.

(8 August 2011)

An unofficial report on IMO 2011 from the student perspective, by UK team member Adam Goucher, is now available.

(3 August 2011)

Some observations on IMO 2011 by Geoff Smith, former UK Leader and elected member of the IMO Advisory Board, are now available.

(29 July 2011)

The reports on past IMOs now include James Cranch’s report on IMO 2011.

(22 July 2011)

The IMO papers were sat on 18 and 19 July. The results of the UK team members are shown below. We obtained 2 Gold, 1 Silver and 2 Bronze medals and 1 Honourable Mention and a score of 132 out of 252, coming 17th out of 101 participating countries. The medal boundaries were for 28 for Gold, 22 for Silver and 16 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
James Aaronson 7 1 7 7 7 029Gold Medal
Andrew Carlotti 7 7 0 7 7 028Gold Medal
Ben Elliott 7 0 2 7 7 023Silver Medal
Adam Goucher 7 0 0 7 7 021Bronze Medal
Josh Lam 7 1 0 1 4 013Honourable Mention
Jordan Millar 7 1 1 7 2 018Bronze Medal

(19 July 2011)

The second IMO paper was sat today; the problems from both days are available. The countries proposing the problems were Mexico, United Kingdom, Belarus, Iran, Iran and Japan respectively; problem 2 was by Geoff Smith.

(18 July 2011)

The first IMO paper was sat today; the problems are available.

(13 July 2011)

The fourth Mathematics Ashes competition, decided on the results of yesterday’s practice exam at the joint pre-IMO training camp in Cambridge, was tied with the teams each scoring 66 points; the results for the two teams were as follows:

CodeName Q1Q2Q3
UNK1James Aaronson 770
UNK2Andrew Carlotti715
UNK3Ben Elliott 752
UNK4Adam Goucher 720
UNK5Josh Lam 710
UNK6Jordan Millar 710
AUS1Nancy Fu 700
AUS2Timothy Large 770
AUS3Declan Gorey 750
AUS4Colin Lu 713
AUS5Yanning Xu 270
AUS6Angel Yu 760

(8 July 2011)

The solutions to the UK Mathematical Olympiad for Girls paper now include extended discussions of the problems and the approaches taken by candidates.

(4 July 2011)

The UK Mathematical Olympiad for Girls (UK MOG) was marked in London on 3 July. Invitations to the Oxford training camp will be sent shortly to selected candidates based on UK MOG results and previous experience of olympiad training. The following candidates scored 14 or more out of 50. Statistics of results are also available.

Catherine Xu39
Michelle Kwok31
Florence Salter30
Emma Mi29
Katya Richards29
Natalie Behague28
Miriam Apsley26
Elizabeth Lee24
Jaimie Voros23
Susannah Holt22
Suzanna Eames21
Linan Zhang21
Ella Mi20
Yingxue Shang19
Sarah Binney16
Chuyi Yang16

(24 June 2011)

The UK Mathematical Olympiad for Girls (UK MOG) paper was taken yesterday. Solutions are also available. The paper will be marked on Sunday 3 July.

(1 June 2011)

After the training camp held at Oundle School from 28 May–1 June, the team of six for the IMO in Amsterdam has been chosen as:

NameSchool
James AaronsonSt Paul’s School
Andrew CarlottiSir Roger Manwood’s School
Ben ElliottGodalming College
Adam GoucherNetherthorpe School
Joshua LamThe Leys School
Jordan MillarRegent House School

The two reserves are:

NameSchool
Richard Freeland (first reserve)Winchester College
Edward KirkbyAlton College

The Team Leader is Dr James Cranch of the University of Leicester and the Deputy Leader is Jack Shotton of Trinity College, Cambridge. Dr Geoff Smith of the University of Bath, elected member of the IMO Advisory Board, will be Observer with Leader and Sally Anne Huk (formerly of Haberdashers’ Aske’s School for Girls) will be Observer with Contestants. The IMO will take place from 13–24 July, with early arrivals for leaders on 12 July. Joint pre-IMO training with the Australian IMO team will take place at Trinity College, Cambridge from 9–16 July.

(12 May 2011)

The Balkan Mathematical Olympiad information now includes Geoff Smith’s report on the 2011 olympiad.

(8 May 2011)

The UK team in the Balkan Mathematical Olympiad in Iași, Romania have achieved the following scores (each question marked out of 10). The medal cut-offs were 30 for gold, 17 for silver and 10 for bronze. James Aaronson was the top individual contestant at the competition.

Name Q1Q2Q3Q4TotalMedal
James Aaronson 10 4101034Gold
Sam Cappleman-Lynes10 0 4 014Bronze
Martin Chan 10 0 5 015Bronze
John Hyunjik Kim 10 0 4 014Bronze
Joshua Lam 10 110 122Silver

The UK competed with a team of five because one originally selected team member was unable to attend.

(6 May 2011)

The Balkan Mathematical Olympiad paper was sat today; the problems are available from Mathlinks.

(26 April 2011)

An unofficial report on the Romanian Master of Mathematics 2011 from the student perspective, by UK team member Richard Freeland, is now available.

(18 April 2011)

After the training camp held at Trinity College, Cambridge from 14–18 April, the squad of eight from which the team of six and two reserves for the IMO in Amsterdam, the Netherlands will be selected has been chosen as:

NameSchool
James AaronsonSt Paul’s School
Andrew CarlottiSir Roger Manwood’s School
Ben ElliottGodalming College
Richard FreelandWinchester College
Adam GoucherNetherthorpe School
Edward KirkbyAlton College
Joshua LamThe Leys School
Jordan MillarRegent House School

The Team Leader is Dr James Cranch of the University of Leicester and the Deputy Leader is Jack Shotton of Trinity College, Cambridge. Dr Geoff Smith of the University of Bath, elected member of the IMO Advisory Board, will be Observer with Leader. The IMO will take place from 13–24 July, with early arrivals for leaders on 12 July. The final team will be selected at the Oundle training camp held 28 May–1 June, and joint pre-IMO training with the Australian IMO team will take place at Trinity College, Cambridge from 9–16 July.

(30 March 2011)

The 90-minute documentary “Beautiful Young Minds”, filmed by Blast! Films during the team selection and training for IMO 2006 and at the IMO in Slovenia and originally broadcast in October 2007, will be broadcast again on BBC4 at 22:30 on Wednesday 6 April. See more information from 2007 on Plus.

(12 March 2011)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Iași, Romania from 4–8 May. The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Rosie Wiltshire of Wootton Bassett School. The UK team will be:

James AaronsonSt. Paul’s School
Sam Cappleman-LynesShebbear College
Martin ChanWestminster School
Sherry JiangMethodist College
John Hyunjik KimHampton School
Joshua LamThe Leys School

(8 March 2011)

We announce the establishment of the first European Girls’ Mathematical Olympiad (EGMO), to be held at Murray Edwards College (founded as New Hall) of the University of Cambridge. This event is created by a partnership between MEC and the United Kingdom Mathematics Trust, the educational charity which organises mathematics competitions in secondary schools in the UK. Please see the full announcement on the EGMO 2012 website.

(3 March 2011)

The Romanian Master in Mathematics information now includes James Cranch’s report on RMM 2011. A short report by Ceri Fiddes on the China Girls’ Mathematical Olympiad 2010 is also now included in the CGMO information available.

(27 February 2011)

The UK team in the Romanian Master of Mathematics competition have achieved the following results, coming joint second (with Hungary, behind the USA) 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).

Name Q1Q2Q3Q4Q5Q6TotalMedal
Andrew Carlotti 6 1 1 7 0 4 19Silver Medal
Ben Elliott 6 2 0 7 2 0 17Bronze Medal
Richard Freeland 7 1 0 7 0 3 18Silver Medal
Edward Godfrey 0 3 0 7 0 0 10Honourable Mention
Adam Goucher 7 1 0 7 7 3 25Gold Medal
Jordan Millar 5 1 0 7 7 3 23Silver Medal

(26 February 2011)

The problems from the second paper at this year’s Romanian Master of Mathematics competition, sat today, are now available. Problem 5 is by Luke Betts, a UK team member at several competitions in 2009 and 2010.

(25 February 2011)

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

(11 February 2011)

The UK will compete again in the Romanian Master of Mathematics competition in 2011, to be held from 23–28 February. The Team Leader will be Dr James Cranch of the University of Leicester and the Deputy Leader will be James Gazet of Eton College. The UK team will be:

NameSchool
Andrew CarlottiSir Roger Manwood’s School
Ben ElliottGodalming College
Richard FreelandWinchester College
Edward GodfreyThomas Hardye School
Adam GoucherNetherthorpe School
Jordan MillarRegent House School

(5 February 2011, New Zealand results added 10 February)

BMO Round 2 was marked in London on 5 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.

Ben Elliott40
Richard Freeland39
Malcolm Granville (NZ)39
Andrew Carlotti38
Adam Goucher37
Jordan Millar34
Tom Yan (NZ)33
Edward Godfrey32
James Aaronson31
Sam Cappleman-Lynes30
Joshua Lam30
Zhi Qiao30
Martin Chan29
Sahl Khan29
Robert Zhang (NZ)28
Hyunjik Kim27
John Howe26
Matei Mandache26
Qikun Liu25
Kshitij Sabnis23
Daniel Hu22
Jihoon Lee22
Jason Long21
Nhat Minh Phan21
Jiasheng Chen20
Oliver Feng20
Dalton Fung20
Edward Kirkby20
Vishal Patil20
Arun Shanmuganathan (NZ)20
Guanting Wu20
Marc Jeffreys19
Natalia Chen (NZ)18
Jacob Ader17

(28 January 2011)

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

(10–14 December 2010, New Zealand results added 24 December, high scores from late scripts added 20 January 2011)

BMO Round 1 was marked in Cambridge on 10–12 December; 19 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. Results and marked scripts will be sent to schools in January. The following candidates scored 40 or more out of 60.

Edward Godfrey60
Malcolm Granville (NZ)60
Jordan Millar59
Tom Yan (NZ)58
Zhi Qiao52
Ha Young Shin (NZ)52
Ben Elliott50
Sahl Khan50
Jason Long50
Vishal Patil50
Aphinya Siranart50
Guanting Wu50
Jiasheng Chen49
James Aaronson48
Sam Cappleman-Lynes48
Andrew Carlotti48
Matthew Leach48
Qiyue Zhao48
Robert Zhang (NZ)47
Adam Dougall42
Dalton Fung41
Jonathan Kwan41
James Allen (NZ)40
Martin Chan40
Andrea Chlebikova40
Oliver Feng40
Adam Goucher40
Sherry Jiang40
Joshua Lam40
Nicholas Leung40
Qikun Liu40
Matei Mandache40
Tanon Protpagorn40
Bingren Wang40

(7 December 2010)

This year’s BMO Round 1 paper was taken on Thursday 2 December, and later when schools were closed on Thursday; the paper may now be freely discussed, and video solutions are temporarily available online.

(5 December 2010)

Jacqui Lewis has died in her sleep, in Portugal.

Jacqui became involved with running Royal Institution Maths Masterclasses in South-West England in 1991 when she was a teacher at Wootton Bassett School.

After she moved to Portugal, she became progressively more involved in UKMT, first through Team Maths Challenge, and then as an Observer, looking after the pastoral side of things for the UK team, and sometimes for other teams, at various Balkan Mathematical Olympiads, the Romanian Master of Mathematics and International Mathematical Olympiads.

Her warmth and concern for the comfort and happiness of the students was quite remarkable.

(1 December 2010)

Given the current weather conditions, and the possibility of school closures continuing on Thursday 2 December, it is possible that students in affected areas may be unable to attend school on Thursday and sit BMO1.

On no account should a student or teacher place him or herself in danger merely in order to facilitate the sitting of BMO1. Here is the BMO committee’s advice in the event that weather interferes with the sitting of BMO1 (Thursday 2 December):

In the event of weather preventing a candidate from sitting BMO1 on 2 December, he or she should

(a) Refrain from using the internet until after the paper is sat.

(b) Not discuss the paper with anyone.

(c) Sit the paper as soon as possible after 2 December 2010.

Would teachers please email enquiry@ukmt.org.uk indicating if they expect to sit late, and when they hope to sit, and include explanatory notes with their late scripts.

The BMO committee reserves the right to withhold prizes if they suspect that the integrity of the competition may have been compromised.

We would also ask those not affected not to discuss any aspect of BMO1 2010/11 in a public forum until we advise here. The paper and solutions video will only appear after we lift the embargo.

Geoff Smith
for the BMO Committee

(4 November 2010)

To assist candidates preparing for this year’s BMO Round 1, video solutions to last year’s paper are again available online.

BMO1 for 2010/2011 will be sat on 2 December. Because of candidates sitting the paper in different time zones, an embargo on public discussion of the paper will apply until the problems and solutions appear on this site the following morning.

(20 September 2010)

The 2010 olympiad teams’ achievements were celebrated at the Royal Society on Monday 20 September; Professor Imre Leader gave the 33rd annual IMO lecture, on “Clueless Voting”.

(10 September 2010)

An unofficial report on IMO 2010 from the student perspective, by UK team member Aled Walker, is now available.

(13 August 2010)

The China Girls Mathematical Olympiad problems are now available. Note that this is a draft version of the paper; in the final version, problem 6 was split into two parts, where the first part was to prove that F was on the circumcircle of ABC. This paper may be replaced by the final version when available.

(13 August 2010)

The China Girls Mathematical Olympiad papers were sat on 10 and 11 August. The results of the UK team members are shown below (each question marked out of 15, with individual question scores always being multiples of 3). In addition to the medals shown, Alice collected first prize for the dance aerobics competition (Maithra was also in the dance). The medal boundaries were 72 for Gold, 54 for Silver and 33 for Bronze. The team leaves China today and arrives back in the UK on 14 August.

Name Q1Q2Q3Q4Q5Q6Q7Q8TotalMedal
Alice Ahn 0 0 0 0 015 0 015
Andrea Chlebikova15 3 6 01512 3 054Silver Medal
Ruth Franklin 15 0 0 0151515 060Silver Medal
Maithra Raghu 0 3 0 01515 0 033Bronze Medal

(11 August 2010)

The second paper in the China Girls Mathematical Olympiad in Shijiazhuang was sat today; the problems will appear here when available. Coordination of the UK scripts on both papers has been completed; the UK team received the following scores (each question marked out of 15, with individual question scores always being multiples of 3).

Name Q1Q2Q3Q4Q5Q6Q7Q8Total
Alice Ahn 0 0 0 0 015 0 015
Andrea Chlebikova15 3 6 01512 3 054
Ruth Franklin 15 0 0 0151515 060
Maithra Raghu 0 3 0 01515 0 033

(10 August 2010)

The first paper in the China Girls Mathematical Olympiad in Shijiazhuang was sat today; the problems will appear here when available. Coordination of the UK scripts on this paper has been completed; the UK team received the following scores (each question marked out of 15, with individual question scores always being multiples of 3).

Name Q1Q2Q3Q4Total
Alice Ahn 0 0 0 00
Andrea Chlebikova15 3 6 024
Ruth Franklin 15 0 0 015
Maithra Raghu 0 3 0 03

(10 August 2010, updated 11 August 2010)

Ruth Franklin, currently competing in the China Girls Mathematical Olympiad in Shijiazhuang and also a member of the UK team in the Balkan Mathematical Olympiad in 2009 (where she received a bronze medal), received a gold medal at the International Chemistry Olympiad in Tokyo. An interview with Ruth was broadcast by the BBC on the 5 live Breakfast show today and is available from iPlayer for the next week; the interview starts one hour, 27 minutes and 19 seconds into the programme. A longer interview with Ruth was broadcast on Beswick at Breakfast today on BBC Manchester and is also available from iPlayer for the next week; the interview starts 13 minutes and 13 seconds into the programme.

Sergei Patiakin, a gold medallist in this year’s IMO team and a silver medallist in the Balkan Mathematical Olympiad this year, received a gold medal at the International Physics Olympiad in Zagreb. Both this year’s IMO reserves also competed in the IPhO and received bronze medals, Andrew Hyer for the UK and Jordan Millar for Ireland. Andrew and Jordan have both represented the UK at the Balkan Mathematical Olympiad and Andrew has twice competed at the Romanian Master of Mathematics.

(9 August 2010)

The UK team for the China Girls Mathematical Olympiad arrived at the olympiad in Shijiazhuang yesterday after spending the previous week in Beijing. While in Beijing they have been preparing with practice exams, adjusting to the timezone and visiting local attractions including Zhongshan Park, Tiananmen Square, the Forbidden City and the Great Wall.

The olympiad, held at Shijiazhuang middle school no. 2, takes place from 8–13 August, with the opening ceremony today, the papers being sat on 10 and 11 August and the team returning to the UK on 14 August.

(2 August 2010)

The UK team for the China Girls Mathematical Olympiad is spending this week in Beijing for final training and acclimatisation. The team members and accompanying adults coming from the UK have arrived in Beijing while one team member coming from elsewhere arrives tomorrow. The olympiad takes place in Shijiazhuang, capital of Hebei province, from 8–13 August, with the papers being sat on 10 and 11 August and the team returning to the UK on 14 August.

(23 July 2010)

The reports on past IMOs now include Geoff Smith’s report on IMO 2010.

(11 July 2010)

The IMO papers were sat on 7 and 8 July. The results of the UK team members are shown below. We obtained one Gold, one Silver and two Bronze medals and two Honourable Mentions and a score of 114 out of 252, coming 25th out of 96 participating countries. The medal boundaries were for 27 for Gold, 21 for Silver and 15 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Luke Betts 7 1 1 7 1 017Bronze Medal
Nathan Brown 7 0 1 7 7 022Silver Medal
Andrew Carlotti 7 0 0 7 0 620Bronze Medal
Richard Freeland 7 0 0 7 0 014Honourable Mention
Sergei Patiakin 7 0 6 7 7 027Gold Medal
Aled Walker 7 0 0 7 0 014Honourable Mention

(8 July 2010)

The IMO papers were sat on 7 and 8 July; the problems (day 1, day 2) are available.

(4 July 2010)

The UK has won the third Mathematics Ashes competition, decided on the results of today’s practice exam at the joint pre-IMO training camp in Astana; the results for the two teams were as follows:

CodeName Q1Q2Q3
UNK1Luke Betts 707
UNK2Nathan Brown 707
UNK3Andrew Carlotti 702
UNK4Richard Freeland 707
UNK5Sergei Patiakin 257
UNK6Aled Walker 700
AUS1Aaron Wan Yau Chong 707
AUS2Timothy Large 770
AUS3Stacey Wing Chee Law270
AUS4Kiho Park 700
AUS5David Vasak 717
AUS6Sampson Wong 720

(2 June 2010, staff updated 4 June 2010)

After the training camp held at Oundle School from 29 May–2 June, the team of six for the IMO (to be held in Astana, Kazakhstan from 2–14 July) has been chosen as:

NameSchool
Luke BettsHills Road VI Form College
Nathan BrownKing Edward VI Camp Hill Boys’ School
Andrew CarlottiSir Roger Manwood’s School
Richard FreelandWinchester College
Sergei PatiakinDame Alice Owen’s School
Aled WalkerKing Edward VI Camp Hill Boys’ School

The two reserves are:

NameSchool
Andrew HyerWestminster School
Jordan MillarRegent House School

The Team Leader is Dr Geoff Smith of the University of Bath, the Deputy Leader is Dr James Cranch of the University of Leicester and the Observer with Leader is Dr Joseph Myers of CodeSourcery. Dr Ceri Fiddes of Millfield School will be Observer with Contestants while Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal will accompany the team at the pre-IMO training in Astana.

(22 May 2010)

The Romanian Master in Mathematics information now includes Robin Bhattacharyya’s report on RMM 2010.

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(17 May 2010)

The Balkan Mathematical Olympiad information now includes Geoff Smith’s report on the 2010 olympiad.

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(7 May 2010)

The UK team in the Balkan Mathematical Olympiad in Chişinău, Moldova have achieved the following scores (each question marked out of 10). The medal cut-offs were 35 for gold, 25 for silver and 12 for bronze. The problems were proposed by Saudi Arabia, Serbia, Romania and Turkey respectively.

NameQ1Q2Q3Q4TotalMedal
Benjamin Elliott1002719Bronze
Richard Freeland101010030Silver
Sahl Khan1010011Honourable Mention
Jordan Millar1001011Honourable Mention
Sergei Patiakin10105227Silver
Jack Smith1005217Bronze

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(5 May 2010)

The Balkan Mathematical Olympiad paper was sat yesterday. Coordination has been partly done with the remaining problems to be coordinated tomorrow. The problems were as follows.

  1. Let a, b and c be positive real numbers. Prove that

    a2b(bc)/(a+b) + b2c(ca)/(b+c) + c2a(ab)/(c+a) ≥ 0.

  2. Let ABC be an acute triangle with orthocentre H. Let M be the midpoint of AC. Let C1 on AB be the foot of the perpendicular from C, and let H1 be the reflection of H in AB. Let the points P, Q and R be the orthogonal projections of C1 onto the lines AH1, AC and CB, respectively. Let M1 be the point such that the circumcentre of triangle PQR is the midpoint of the segment MM1.

    Prove that M1 lies on BH1.

  3. A strip of width w is a set of points in the plane which are on, or between, two parallel lines distance w apart. Let S be a finite set of n (n ≥ 3) points in the plane, such that any three different points from S can be covered by a strip of width 1.

    Prove that S can be covered by a strip of width 2.

  4. For each positive integer n (n ≥ 2), let f(n) denote the sum of all positive integers which are at most n and are not relatively prime to n. Show that f(n+p) ≠ f(n) for each such n and for every prime p.

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(12 April 2010)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Chişinău, Moldova from 2–8 May. The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal. After the training camp held at Trinity College, Cambridge from 8–12 April, the team has been selected as follows.

NameSchool
Benjamin ElliottGodalming College
Richard FreelandWinchester College
Sahl KhanSt Paul’s School
Jordan MillarRegent House School
Sergei PatiakinDame Alice Owen’s School
Jack SmithKing’s School, Grantham

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(12 April 2010)

After the training camp held at Trinity College, Cambridge from 8–12 April, the squad of eight from which the team of six and two reserves for the IMO in Astana, Kazakhstan will be selected has been chosen as:

NameSchool
Luke BettsHills Road VI Form College
Nathan BrownKing Edward VI Camp Hill Boys’ School
Andrew CarlottiSir Roger Manwood’s School
Richard FreelandWinchester College
Andrew HyerWestminster School
Jordan MillarRegent House School
Sergei PatiakinDame Alice Owen’s School
Aled WalkerKing Edward VI Camp Hill Boys’ School

The Team Leader is Dr Geoff Smith of the University of Bath, the Deputy Leader is Dr Vesna Kadelburg of Mander Portman Woodward, Cambridge, the Observer with Leader is Dr Joseph Myers of CodeSourcery and the Observers with Contestants are Dr Ceri Fiddes of Millfield School and Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal. The IMO will take place from 2–14 July.

(31 March 2010)

The UK will participate in the China Girls Mathematical Olympiad in Shijiazhuang in August 2010. The head of the UK delegation will be Dr Ceri Fiddes of Millfield School and the UK representative on the jury will be Alison Zhu of Trinity College, Cambridge. The UK team will be:

NameSchool
Alice AhnGlasgow Academy
Andrea ChlebikovaBrighton Hove and Sussex SFC
Ruth FranklinManchester High School for Girls
Maithra RaghuHenrietta Barnett School

(28 February–1 March 2010)

The UK team in the Romanian Masters of Mathematics competition have achieved the following results, coming tenth in the team competition (determined based on the top three scores from each country). The problems (day 1, day 2) are available.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Luke Betts 7 2 0 7 2 0 18Bronze Medal
Andrew Carlotti 3 1 0 5 2 0 11Bronze Medal
Richard Freeland 2 0 1 0 2 0 5
Andrew Hyer 3 0 0 3 2 0 8
Jack Smith 4 0 0 7 0 0 11Bronze Medal
Aled Walker 3 0 0 0 2 0 5

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(6 February 2010)

The UK will compete again in the Romanian Masters of Mathematics competition in 2010, to be held from 24 February to 1 March. The Team Leader will be Robin Bhattacharyya of Loughborough Grammar School and the Deputy Leader will be Dr James Cranch of the University of Leicester. The UK team will be:

NameSchool
Luke BettsHills Road VI Form College
Andrew CarlottiSir Roger Manwood’s School
Richard FreelandWinchester College
Andrew HyerWestminster School
Jack SmithKing’s School, Grantham
Aled WalkerKing Edward VI Camp Hill Boys’ School

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(6 February 2010, New Zealand results added 11 February)

BMO Round 2 was marked in London on 6 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 20 or more out of 40; 13 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.

Jack Smith39
Luke Betts30
Andrew Carlotti30
Malcolm Granville (NZ)30
Andrew Hyer30
Sergei Patiakin30
Richard Freeland29
Aled Walker29
Jordan Millar27
David Phillips23
Hyunjik Kim21
Geoffrey Penington21
Maithra Raghu21
Nathan Brown20
Martin Chan20
Ruth Franklin20
Yuhan Gao20
Daniel Hu20
Zhi Qiao20
Tomas Zeman20
Chuwei Zhang20

(29 January 2010)

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

(11–14 December 2009)

BMO Round 1 was marked in Cambridge on 11–13 December; 17 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. Results and marked scripts will be sent to schools by mid-January. The following candidates scored 44 or more out of 60.

Luke Betts60
Andrew Hyer60
Malcolm Granville (NZ)59
Sergei Patiakin59
Tomas Zeman57
Benjamin Barrett54
James Munro53
Nathan Brown52
Jordan Millar52
Aled Walker51
Sam Cappleman-Lynes50
Joshua Lam50
Geoffrey Penington50
David Phillips50
Richard Freeland49
Jacqueline Keyang Hu49
Sahl Khan49
Ruth Franklin48
Edward Godfrey48
Maithra Raghu48
Thomas Anthony47
Wesley Mok47
Sicong (Scott) Zhang (NZ)46

(4 December 2009)

This year’s BMO Round 1 paper was taken yesterday; video solutions are temporarily available online.

(29 September 2009)

With immediate effect, the BMO1 entry fee will be £16.50 and the BMO2 fee will be £22.00. This is a 10% increase, the first for three years, and is exactly in line with the price increases for UKMT Maths Challenges competitions. Entry fees are waived for candidates eligible to represent the UK at the IMO and reaching the cut-off scores in qualifying competitions (UK SMC for entry to BMO1, BMO1 for entry to BMO2). Schools should contact the Maths Challenges Office to enter candidates who do not qualify for waiver of fees.

(21 September 2009)

The 2009 olympiad teams’ achievements were celebrated at the Royal Society on Monday 21 September; Professor James Davenport gave the 32nd annual IMO lecture, on “The Mathematics behind the Internet” (slides available).

(1 August 2009)

The Balkan Mathematical Olympiad information now includes Vesna Kadelburg’s report on the 2009 olympiad.

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(28 July 2009)

The reports on past IMOs now include Geoff Smith’s report on IMO 2009.

(19 July 2009)

The IMO papers were sat on 15 and 16 July. The results of the UK team members are shown below. We came equal 19th out of 104 countries competing with 1 Gold, 3 Silver and 2 Bronze medals and a score of 157 out of 252. The medal boundaries were for 32 for Gold, 24 for Silver and 14 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Chris Bellin 7 7 1 4 1 020Bronze Medal
Luke Betts 7 7 7 7 3 031Silver Medal
Tim Hennock 7 7 7 7 4 032Gold Medal
Peter Leach 7 3 1 7 7 025Silver Medal
Sean Moss 7 7 0 0 7 021Bronze Medal
Preeyan Parmar 6 7 1 7 7 028Silver Medal

(16 July 2009)

The IMO papers were sat on 15 and 16 July; the problems are available.

(9 July 2009)

The UK has won the second Mathematical Ashes competition, decided on the results of today’s practice exam at the joint pre-IMO training camp in Cambridge; the results for the two teams were as follows:

CodeNameQ1Q2Q3
UNK1Chris Bellin170
UNK2Luke Betts075
UNK3Tim Hennock77-
UNK4Peter Leach636
UNK5Sean Moss50-
UNK6Preeyan Parmar76-
AUS1Aaron Wan Yau Chong760
AUS2Andrew Elvey Price777
AUS3Stacey Wing Chee Law710
AUS4Alfred Liang000
AUS5Dana Ma710
AUS6Sampson Wong560

(27 May 2009)

After the training camp held at Oundle School from 23–27 May, the team of six for the IMO (to be held in Bremen, Germany from 10–22 July) has been chosen as:

NameSchool
Chris BellinQueen Mary’s Grammar School
Luke BettsHills Road 6th Form College, Cambridge
Tim HennockChrist’s Hospital
Peter LeachMonkton Combe School
Sean MossHavering Sixth Form College
Preeyan ParmarEton College

The three reserves are:

NameSchool
Nathan BrownKing Edward VI Camp Hill Boys School
Andrew HyerWestminster School
Craig Newbold (first reserve)Whitley Bay High School

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dr Vesna Kadelburg of Mander Portman Woodward, Cambridge. James Cranch of the University of Leicester will be Observer with Leader, Mary Wimbury of the UKMT will be Observer with Deputy and Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal will be Observer with Contestants.

(3 May 2009)

The UK team in the Balkan Mathematical Olympiad in Kragujevac, Serbia have achieved the following scores (each question marked out of 10). The team total of 59 placed us equal 13th out of 20 participating (official and guest) teams. The medal cut-offs were 23 for gold, 15 for silver and 6 for bronze.

NameQ1Q2Q3Q4TotalMedal
Chris Bellin511310Bronze
Luke Betts1004115Silver
Joseph Briggs810110Bronze
Nathan Brown604111Bronze
Ruth Franklin60006Bronze
Sean Moss60017Bronze

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(30 April 2009)

The problems from this year’s Balkan Mathematical Olympiad, sat today, are available from the Mathematical Society of Serbia website.

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(6 April 2009)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Kragujevac, Serbia from 28 April–4 May. The Team Leader is Dr Vesna Kadelburg of Mander Portman Woodward, Cambridge and the Deputy Leader is Robin Bhattacharyya of Loughborough Grammar School. After the training camp held at Trinity College, Cambridge from 2–6 April, the team has been selected as follows.

NameSchool
Chris BellinQueen Mary’s Grammar School
Luke BettsHills Road 6th Form College, Cambridge
Joseph BriggsKennet School
Nathan BrownKing Edward VI Camp Hill Boys School
Ruth FranklinManchester High School for Girls
Sean MossHavering Sixth Form College

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(6 April 2009)

After the training camp held at Trinity College, Cambridge from 2–6 April, the squad of nine from which the team of six and three reserves for the IMO in Bremen, Germany will be selected has been chosen as:

NameSchool
Chris BellinQueen Mary’s Grammar School
Luke BettsHills Road 6th Form College, Cambridge
Nathan BrownKing Edward VI Camp Hill Boys School
Tim HennockChrist’s Hospital
Andrew HyerWestminster School
Peter LeachMonkton Combe School
Sean MossHavering Sixth Form College
Craig NewboldWhitley Bay High School
Preeyan ParmarEton College

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dr Vesna Kadelburg of Mander Portman Woodward, Cambridge. The IMO will take place from 10–22 July.

(14 March 2009)

The Romanian Master in Mathematics information now includes Adrian Sanders’s report on RMM 2009.

(1 March 2009)

The UK team in the Romanian Master in Mathematics competition have achieved the following results. In the team competition (determined based on the top three scores from each country), China won, with the USA and Serbia tied for second place and the UK tenth.

Name TotalMedal
Luke Betts 10
Nathan Brown 10
Tim Hennock 10
Andrew Hyer 8
Peter Leach 15Bronze
Craig Newbold10

The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(25 February 2009)

BMO Round 2 was sat by the members of the squad in training for the 2009 New Zealand IMO team, in addition to candidates in the UK. The results of the top New Zealand candidates are available from the New Zealand Maths Olympiad Committee site.

(8 February 2009)

BMO Round 2 was marked in Bath on 7 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 25 or more out of 40.

Tim Hennock40
Nathan Brown39
Peter Leach39
Craig Newbold39
Luke Betts38
Andrew Hyer38
Michal Sosnowski35
Preeyan Parmar33
Sean Moss32
Joseph Briggs30
Jordan Millar30
Geoffrey Penington30
Sahl Khan29
Jaiwei Min29
Hieu Nguyen29
Alex Gordon-Brown28
Wesley Mok28
Mergqing James Zou27
Martin Chan26
Chris Bellin25
Leo Shine25

(8 February 2009)

The UK will compete again in the Romanian Masters of Mathematics competition in 2009, to be held from 26 February to 2 March. The Team Leader will be Dr Adrian Sanders (formerly of Trinity College, Cambridge) and the Deputy Leader will be Mrs Sally Anne Huk (formerly of Haberdashers’ Aske’s School for Girls). This year teams of up to six students from each country sit one five-hour paper with four IMO-standard questions, with the top three scores from each country determining the result of the team competition. The UK team of six will be:

NameSchool
Luke BettsHills Road Sixth Form College, Cambridge
Nathan BrownKing Edward VI Camp Hill School for Boys, Birmingham
Tim HennockChrist’s Hospital, Horsham
Andrew HyerWestminster School, London
Peter LeachMonkton Combe School, Bath
Craig NewboldWhitley Bay High School

The United Kingdom are reigning champions. The involvement of the UK team in this competition is sponsored by Winton Capital Management.

(29 January 2009)

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

(28 January 2009)

There are candidates sitting BMO2 outside the United Kingdom this year. They will commence sitting the paper at 8:30pm UK time on Thursday 29 January. Therefore we ask that no public discussion of any aspect of the contents of BMO2 take place until after that time. The paper will appear at this site after that time.

Geoff Smith
for the BMO Committee.

(20 January 2009)

BMO Round 2 will be sat on 29 January. There is a mistake in the version of the paper, printed on white paper, originally distributed to schools. UKMT has posted corrected versions of the paper to participating schools today, so the corrected versions will arrive in schools very soon.

The corrected version is on blue paper. Candidates should raise a query if they are given a BMO2 paper to sit which is on white paper.

(12–14 December 2008)

BMO Round 1 was marked in Cambridge on 12–14 December. Results and marked scripts will be sent to schools in the week starting 5 January. The following candidates scored 41 or more out of 60.

Joseph Briggs59
Andrew Hyer59
Preeyan Parmar58
Chris Bellin53
Tim Hennock53
Ruth Franklin52
Alex Gordon Brown52
Peter Leach51
Andrew Carlotti49
Lincheng Kong49
Michal Sosonowski49
James Zou49
Henry Husband48
Sergei Patiakin47
Jiawei Min43
James B Taylor43
Oscar Cunningham42
Zizheng Huang42
Elliot Spragg42
Martin Chan41
Adil Zhan Ismailov41
Nguyen Hoang Tung41
Aled Walker41

(5 December 2008)

This year’s BMO Round 1 paper was taken yesterday, and today where examination centres were closed yesterday. See also information on post-BMO1 Masterclasses.

(4 December 2008)

We know that several BMO examination centres in northern England are closed for the day. There are probably other closures that we do not know about yet. (See the notice regarding arrangements for late sitting of BMO1 below.)

Accordingly, please do not discuss any aspect of BMO1 2008/9 in a public forum until 8:30pm UK time on Friday 5 December. The paper will appear at this site after that time.

The only exception is Dr Gardiner’s Birmingham masterclass which will go ahead as scheduled late on Friday afternoon. See information on post-BMO1 Masterclasses.

Geoff Smith
for the BMO Committee

(3 December 2008)

There are currently severe weather warnings for some areas for Thursday 4 December. It is possible that there may be school closures, and students in affected areas may be unable to attend school on Thursday.

On no account should a student or teacher place him or herself in danger merely in order to facilitate the sitting of BMO1. Here is the BMO committee’s advice in the event that weather interferes with the sitting of BMO1 tomorrow (Thursday 4 December):

In the event of weather preventing a candidate from sitting BMO1 on 4 December, he or she should

(a) Refrain from using the internet until after the paper is sat.

(b) Do not discuss the paper with anyone.

(c) Sit the paper as soon as possible after 4 December 2008.

Would schoolteachers please include explanatory notes regarding late scripts.

The BMO committee reserves the right to withhold prizes if they suspect that the integrity of the competition may have been compromised.

Geoff Smith
for the BMO Committee

(11 November 2008)

The UK will compete again in the Romanian Master of Mathematics competition in 2009, to be held from 26 February to 2 March. The team will be accompanied by Adrian Sanders (ex Trinity College, Cambridge) and Sally Anne Huk (ex Haberdashers’ Aske’s School for Girls).

(11 November 2008)

Some talks on the IMO that UK IMO Team Leader Geoff Smith recorded for Australian ABC Radio National are now being broadcast. The first talk was broadcast on Saturday 8 November and you can listen to it online. The second and third talks will be broadcast on 15 and 22 November.

(7 October 2008)

The IMO and Romanian Master in Mathematics teams’ achievements were celebrated at the Royal Society on Tuesday 7 October; Professor David Spiegelhalter gave the 31st annual IMO lecture, on “How long do we have to wait?”.

(29 July 2008)

The reports on past IMOs now include Geoff Smith’s report on IMO 2008.

(20 July 2008)

The IMO papers were sat on 16 and 17 July. The results of the UK team members are shown below. We came 23rd out of 97 countries competing with four Silver and two Bronze medals and a score of 133 out of 252. The medal boundaries were for 31 for Gold, 22 for Silver and 15 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Tim Hennock 7 3 0 7 7 024Silver
Peter Leach 7 1 0 7 7 123Silver
Tom Lovering 7 1 3 7 7 025Silver
Freddie Manners 7 2 0 4 7 020Bronze
Dominic Yeo 5 1 0 7 3 016Bronze
Alison Zhu 5 7 0 6 7 025Silver

(17 July 2008)

The IMO papers were sat on 16 and 17 July, and are available from the IMO 2008 website.

(14 July 2008)

Australia has won the inaugural Mathematical Ashes competition, decided on the results of the final practice exam at the joint pre-IMO training camp in Lisbon; the results for the two teams were as follows:

CodeNameQ1Q2Q3
UNK1Tim Hennock710
UNK2Peter Leach220
UNK3Tom Lovering770
UNK4Freddie Manners710
UNK5Dominic Yeo770
UNK6Alison Zhu700
AUS1Paul Cheung770
AUS2Andrew Elvey Price770
AUS3Giles Gardam710
AUS4Irene Lo710
AUS5Max Menzies770
AUS6Sampson Wong707

For more details of the competition and a picture of the urn in which the ashes will be placed, see the news story from the Australian Mathematics Trust.

(28 May 2008)

After the training camp held at Oundle School from 24–28 May 2008, the team of six for the IMO (to be held in Madrid, Spain from 10–22 July) has been chosen as:

NameSchool
Tim HennockChrist’s Hospital
Peter LeachMonkton Combe School
Tom LoveringBristol Grammar School
Freddie MannersWinchester College, Hampshire
Dominic YeoSt. Paul’s School, London
Alison ZhuSimon Langton Girls GS, Canterbury

The three reserves are:

NameSchool
Jonathan LeeLoughborough Grammar School
Craig NewboldWhitley Bay High School
Preeyan ParmarEton College

The Team Leader is Dr Geoff Smith of the University of Bath, the Deputy Leader is Dr Ceri Fiddes of Stowe School, the Observer with Deputy is Dr Vesna Kadelburg of Sevenoaks School and the Observer with Contestants is Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal.

(16 May 2008)

Some photographs from the United Kingdom and Ireland team and leadership at the Balkan Mathematical Olympiad are now available online. More are likely to be added in the coming days.

(8 May 2008)

The United Kingdom and Ireland team in the Balkan Mathematical Olympiad in Ohrid have achieved the following scores (each question marked out of 10). The team total of 73 placed us 8th out of 19 participating (official and guest) teams.

NameQ1Q2Q3Q4TotalMedal
Galin Ganchev1002719Silver
Andrew Hyer196016Bronze
Peter Leach042612Bronze
Craig Newbold1001011Bronze
Hannah Roberts1040014Bronze
Rong Zhou01001

The medal cut-offs were 29 for gold, 17 for silver and 5 for bronze. The problems are available on Mathlinks.

(6 May 2008)

The problems from today’s Balkan Mathematical Olympiad paper are available from Mathlinks.

(11 April 2008)

A joint “United Kingdom and Ireland” team will be competing as a guest team in the Balkan Mathematical Olympiad, to be held in Ohrid, Macedonia from 4–10 May. The Team Leader is Dr Adrian Sanders (ex Trinity College, Cambridge) and the Deputy Leader is Jacqui Lewis (St. Julian’s International School, Carcavelos, Portugal). After the training camp held at Trinity College, Cambridge from 3–7 April, the six team members have been selected as follows:

NameSchool
Galin GanchevCastletroy College, Ireland
Andrew HyerWestminster School
Peter LeachMonkton Combe School
Craig NewboldWhitley Bay High School
Hannah RobertsSchool of St. Helen & St. Katharine, Abingdon
Rong ZhouBristol Grammar School

(9 April 2008)

A brief article on areal co-ordinate methods in Euclidean geometry, by Tom Lovering, is now available.

(7 April 2008)

After the training camp held at Trinity College, Cambridge from 3–7 April, the squad of nine from which the team of six and three reserves for the IMO in Madrid, Spain will be selected has been chosen as:

NameSchool
Tim HennockChrist’s Hospital
Peter LeachMonkton Combe School
Jonathan LeeLoughborough Grammar School
Tom LoveringBristol Grammar School
Freddie MannersWinchester College, Hampshire
Craig NewboldWhitley Bay High School
Preeyan ParmarEton College
Dominic YeoSt. Paul’s School, London
Alison ZhuSimon Langton Girls GS, Canterbury

The Team Leader is Dr Geoff Smith of the University of Bath, the Deputy Leader is Dr Ceri Fiddes of Stowe School, the Observer with Deputy is Dr Vesna Kadelburg of Sevenoaks School and the Observer with Contestants is Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal. The IMO will take place from 10–22 July.

(7 April 2008)

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 4–10 May. The Team Leader is Dr Adrian Sanders (ex Trinity College, Cambridge) and the Deputy Leader is Jacqui Lewis (St. Julian’s International School, Carcavelos, Portugal). After the training camp held at Trinity College, Cambridge from 3–7 April, five of the six team members have been selected as follows; questions of availability for a sixth candidate team member are being resolved.

NameSchool
Andrew HyerWestminster School
Peter LeachMonkton Combe School
Craig NewboldWhitley Bay High School
Hannah RobertsSchool of St. Helen & St. Katharine, Abingdon
Rong ZhouBristol Grammar School

(21 February 2008)

Some hints and outline solutions for BMO Round 2 are now temporarily available. These are copyright and must not be redistributed.

(21 February 2008)

The Romanian Master of Mathematics information now includes Geoff Smith’s report on this competition.

(16 February 2008)

BMO Round 2 was marked in Bath on 16 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 20 or more out of 40.

Thien Phung30
Alison Zhu28
Peter Leach23
Luke Betts22
George Coulon21
Tom Lovering21
Craig Newbold21
Keren Ma20
Freddie Manners20
Viet Hoang Nguyen20
Preeyan Parmar20

(14 February 2008)

A press release and photos of the Romanian Master in Mathematics team for press use are now available.

(10–11 February 2008)

The UK team in the Romanian Master in Mathematics competition have achieved the following results. We came first out of twelve teams competing with one Gold, one Silver and one Bronze medal and a total score of 51 out of 84. Jonathan Lee’s individual score of 24 was third out of the participating students.

Name Q1Q2Q3Q4TotalMedal
Tim Hennock 7 7 0 115Silver
Jonathan Lee 6 7 4 724Gold
Dominic Yeo 7 5 0 012Bronze

(9 February 2008)

The Romanian Master in Mathematics 2008 paper is being sat today. Problem 1 is a UK submission and the other three problems are Romanian.

(31 January 2008)

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

(30 January 2008)

The UK has been invited to send a team to the “Romanian Master in Mathematics” competition, to be held in Bucharest from 7–11 February. This competition has teams of three students per country sitting one five-hour paper with four IMO-standard questions. The Team Leader is Dr Geoff Smith of the University of Bath, and the Observer is Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal. After one originally selected student had to withdraw, the team of three will now be:

NameSchool
Tim HennockChrist’s Hospital
Jonathan LeeLoughborough Grammar School
Dominic YeoSt. Paul’s School, London

(4–10 January 2008)

The UK has been invited to send a team to the “Romanian Master in Mathematics” competition, to be held in Bucharest from 7–11 February. This competition has teams of three students per country sitting one five-hour paper with four IMO-standard questions. The Team Leader is Dr Geoff Smith of the University of Bath, and the Observer is Jacqui Lewis of St. Julian’s International School, Carcavelos, Portugal. After the joint training camp held with the Hungarian IMO squad in Hungary over the New Year, the team of three has been selected as:

NameSchool
Jonathan LeeLoughborough Grammar School
Tom LoveringBristol Grammar School
Dominic YeoSt. Paul’s School, London

(18 December 2007)

BMO1 results will be sent to schools early in the new year. The BMO2 qualifying cut-off scores are 33 for students in year 13, 27 for students in year 12, 24 for students in year 11 and 20 for students in year 10 and below. 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 £20. BMO2 will take place on 31 January 2008.

(7–9 December 2007)

BMO Round 1 was marked in Cambridge on 7–9 December. Details of cut-off scores for free entry to BMO Round 2 and when scores are to be sent to schools will appear here soon. The following candidates scored 48 or more out of 60.

Tom Lovering60
Preeyan Parmar60
Howard Loh59
Freddie Manners59
Dominic Yeo59
Alison Zhu59
Tim Hennock58
Trung Kien Nguyen58
Thien Phung58
Nghia Dang55
Ben Ai52
Rong Zhou52
Hannah Roberts51
Thomas Cappleman50
Peter Leach49
Jonathan Lee49
Andrew McRae49
Lingrui Xiang49
Chris Bryant48
Xiao Chang48
Ian Fraser48
Julian Parmar48

(30 November 2007)

This year’s BMO Round 1 paper was taken today.

(14 October 2007)

The 90-minute documentary “Beautiful Young Minds”, filmed by Blast! Films during the team selection and training for IMO 2006 and at the IMO in Slovenia, was broadcast on BBC2 on Sunday 14 October at 9pm. See more details on Plus.

(1 October 2007)

The IMO and Balkan MO teams’ achievements were celebrated at the Royal Society on Monday 1 October; Professor Marcus du Sautoy gave the 30th annual IMO lecture, on “The Music of the Primes”.

(12 August 2007)

The reports on past IMOs now include Geoff Smith’s report on IMO 2007.

(28 July 2007)

The IMO papers were sat on 25 and 26 July. The results of the UK team members are shown below. We came 28th out of 93 countries competing with one Gold and three Bronze medals and two Honourable Mentions and a score of 95 out of 252. The medal boundaries were for 29 for Gold, 21 for Silver and 14 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Tim Hennock 7 0 0 7 0 014Bronze
Tom Lovering 7 2 0 7 0 016Bronze
Takaki Oshima 0 0 0 7 0 07Honourable Mention
Jack Shotton 7 7 2 7 7 131Gold
Dominic Yeo 4 1 0 7 0 113Honourable Mention
Alison Zhu 7 0 0 7 0 014Bronze

(26 July 2007)

The second IMO 2007 paper was sat in Hanoi on 26 July 2007; the problems and the countries submitting them are shown. Coordination takes place on 27–28 July and the final Jury meeting to approve scores and determine medal boundaries is scheduled for 22:00 local time (16:00 BST) on 28 July.

  1. In triangle ABC the bisector of angle BCA intersects the circumcircle again at R, the perpendicular bisector of BC at P, and the perpendicular bisector of AC at Q. The midpoint of BC is K and the midpoint of AC is L. Prove that the triangles RPK and RQL have the same area.

    (Czech Republic)

  2. Let a and b be positive integers. Show that if 4ab − 1 divides (4a2 − 1)2, then a = b.

    (United Kingdom)

  3. Let n be a positive integer. Consider

    S = { (xyz) : xyz ∈ {0, 1, …, n}, x + y + z > 0 }

    as a set of (n + 1)3 − 1 points in three-dimensional space. Determine the smallest possible number of planes, the union of which contains S but does not include (0, 0, 0).

    (Netherlands)

(25 July 2007)

The first IMO 2007 paper was sat in Hanoi on 25 July 2007; the problems and the countries submitting them are shown.

  1. Real numbers a1, a2, …, an are given. For each i (1 ≤ i ≤ n) define

    di = max { aj : 1 ≤ j ≤ i } − min { aj : i ≤ j ≤ n }

    and let

    d = max { di : 1 ≤ i ≤ n }.

    (a) Prove that, for any real numbers x1 ≤ x2 ≤ … ≤ xn,

    max { |xi − ai| : 1 ≤ i ≤ n } ≥ d / 2.    (*)

    (b) Show that there are real numbers x1 ≤ x2 ≤ … ≤ xn such that equality holds in (*).

    (New Zealand)

  2. Consider five points A, B, C, D and E such that ABCD is a parallelogram and BCED is a cyclic quadrilateral. Let ℓ be a line passing through A. Suppose that ℓ intersects the interior of the segment DC at F and intersects line BC at G. Suppose also that EF = EG = EC. Prove that ℓ is the bisector of angle DAB.

    (Luxembourg)

  3. In a mathematical competition some competitors are friends. Friendship is always mutual. Call a group of competitors a clique if each two of them are friends. (In particular, any group of fewer than two competitors is a clique.) The number of members of a clique is called its size.

    Given that, in this competition, the largest size of a clique is even, prove that the competitors can be arranged in two rooms such that the largest size of a clique contained in one room is the same as the largest size of a clique contained in the other room.

    (Russia)

(30 May 2007)

After the training camp held at Oundle School from 26–30 May 2007, the team of six for the IMO (to be held in Hanoi, Vietnam from 19–31 July) has been chosen as:

NameSchool
Tim HennockChrist’s Hospital
Tom LoveringBristol Grammar School
Takaki OshimaWestminster School, London
Jack ShottonPortsmouth Grammar School
Dominic YeoSt. Paul’s School, London
Alison ZhuSimon Langton Girls GS, Canterbury

The three reserves are:

NameSchool
Jonathan LeeLoughborough Grammar School
Preeyan ParmarEton College
Julia RobsonPerse School for Girls

The IMO Team Leader is Dr Geoff Smith of the University of Bath, the Deputy Leader is Dr Ceri Fiddes of Stowe School, the Observer with Leader is Dr Joseph Myers of CodeSourcery and the Observer with Contestants is Pam Hunt.

The team leave the UK for pre-IMO training on 8 July, travel to Hanoi on 23 July and return to the UK on 1 August.

(30 April 2007)

The UK team in the Balkan Mathematical Olympiad on Rhodes have achieved the following scores (each question marked out of 10).

NameQ1Q2Q3Q4TotalMedal
Ian Fraser1021114
Tom Lovering1025017Bronze
Freddie Manners1030720Bronze
Preeyan Parmar1051016Bronze
Dominic Yeo1039325Silver
Alison Zhu1020315Bronze

The medal cut-offs were 33 for gold, 23 for silver and 15 for bronze. The problems are available on Mathlinks.

(2 April 2007)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held on Rhodes, Greece from 26 April–2 May. The Team Leader is Robin Bhattacharyya of Highgate School, and the Deputy Leader is Dr Vesna Kadelburg of Sevenoaks School. After the training camp held at Trinity College, Cambridge from 29 March–2 April, the team has been selected as:

NameSchool
Ian FraserTorquay Boys’ Grammar School
Tom LoveringBristol Grammar School
Freddie MannersWinchester College, Hampshire
Preeyan ParmarEton College
Dominic YeoSt. Paul’s School, London
Alison ZhuSimon Langton Girls GS, Canterbury

(2 April 2007)

After the training camp held at Trinity College, Cambridge from 29 March–2 April, the squad of nine from which the team of six and three reserves for the IMO in Hanoi, Vietnam will be selected has been chosen as:

NameSchool
Tim HennockChrist’s Hospital
Jonathan LeeLoughborough Grammar School
Tom LoveringBristol Grammar School
Takaki OshimaWestminster School, London
Preeyan ParmarEton College
Julia RobsonPerse School for Girls
Jack ShottonPortsmouth Grammar School
Dominic YeoSt. Paul’s School, London
Alison ZhuSimon Langton Girls GS, Canterbury

The Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dr Ceri Fiddes of Stowe School. The IMO will take place from 19–31 July.

(11 February 2007)

The following candidates scored 20 or more out of 40 in BMO Round 2. 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 in the week beginning 19 February.

Jack Shotton40
Takaki Oshima30
Freddie Manners29
Jinyang Liu28
Rubin Xu28
Alison Zhu25
Tim Hennock23
Julia Robson23
Peter Ford22
Ian Fraser22
Jonathan Lee22
Kelvin Lee22
Herr Stern22
Linfeng Yang22
Ruth Franklin21
Oliver McFarlane21
Howard Loh20
Preeyan Parmar20
Yuting Shao20
Sam Siebert20
Jonathan Silver20
Jovana Sljivancanin20
Madoc Troup20
Eva Zhang20

(10 February 2007)

BMO Round 2 was marked in Bath on 10 February; invitations to the Trinity training camp will be sent shortly, and marks will be sent to schools in the week beginning 19 February.

(30 January 2007)

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

(14 December 2006)

The BMO2 qualifying cut-off scores are 32 for students in year 13, 22 for students in year 12 and 18 for students in year 11 and below. 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 £20. BMO2 will take place on 30 January 2007.

(8–10 December 2006)

BMO Round 1 was marked in Cambridge on 8–10 December; marks and information about Round 2 will be sent to schools shortly.

(1 December 2006)

This year’s BMO Round 1 paper was taken today.

(25 September 2006)

The IMO team’s success was celebrated at the Royal Society on Monday 25 September; Professor Sir Christopher Zeeman, FRS gave the 29th annual IMO lecture, on “Gyroscopes and Boomerangs”.

(24 August 2006)

The reports on past IMOs now include Geoff Smith’s report on IMO 2006. The team’s success will be celebrated at the Royal Society on Monday 25 September; Professor Sir Christopher Zeeman, FRS will give the 29th annual IMO lecture, on “Gyroscopes and Boomerangs”.

(14–15 July 2006)

The IMO papers were sat on 12 and 13 July. The results of the UK team members are shown below. We came 19th out of 90 countries competing with four Silver and one Bronze medals and a score of 117 out of 252. The medal boundaries were 28 for Gold, 19 for Silver and 15 for Bronze.

Name Q1Q2Q3Q4Q5Q6TotalMedal
Tom Eccles 7 6 0 6 3 0 22Silver
Saul Glasman 7 1 0 6 2 0 16Bronze
Jonathan Lee 7 7 0 7 1 0 22Silver
Daniel Lightwing 7 7 0 6 1 0 21Silver
Jack Shotton 7 0 1 7 7 0 22Silver
Lee Zhao 7 1 0 5 1 0 14

(13 July 2006)

Problem 4. Determine all pairs (x,y) of integers such that

1 + 2x + 22x+1 = y2.

(USA)

Problem 5. Let P(x) be a polynomial of degree n > 1 with integer coefficients and let k be a positive integer. Consider the polynomial Q(x) = P(P(…P(P(x))…)), where P occurs k times. Prove that there are at most n integers t such that Q(t) = t.

(Romania)

Problem 6. Assign to each side b of a convex polygon P the maximum area of a triangle that has b as a side and is contained in P. Show that the sum of the areas assigned to the sides of P is at least twice the area of P.

(Serbia and Montenegro)

Time allowed: 4 hours 30 minutes
Each problem is worth 7 points

(12 July 2006)

Problem 1. Let ABC be a triangle with incentre I. A point P in the interior of the triangle satisfies

PBA + ∠PCA = ∠PBC + ∠PCB.

Show that APAI, and that equality holds if and only if P = I.

(Korea)

Problem 2. Let P be a regular 2006-gon. A diagonal of P is called good if its endpoints divide the boundary of P into two parts, each composed of an odd number of sides of P. The sides of P are also called good.

Suppose P has been dissected into triangles by 2003 diagonals, no two of which have a common point in the interior of P. Find the maximum number of isosceles triangles having two good sides that could appear in such a configuration.

(Serbia and Montenegro)

Problem 3. Determine the least real number M such that the inequality

|ab(a2b2) + bc(b2c2) + ca(c2a2)|M(a2+b2+c2)2

holds for all real numbers a, b and c.

(Ireland)

Time allowed: 4 hours 30 minutes
Each problem is worth 7 points

(10 July 2006)

After a pre-IMO training camp held jointly with the Slovenian team in Bled from 1–10 July, the UK team has now arrived at the IMO in Ljubljana. They will sit the papers on 12 and 13 July.

(31 May 2006)

After the training camp held at Oundle School from 27–31 May 2006, the team of six for the IMO (to be held in Ljubljana, Slovenia from 6–18 July) has been chosen as:

NameSchool
Tom EcclesSt. Paul’s School, London
Saul GlasmanThe Latymer School, Edmonton, London
Jonathan LeeLoughborough Grammar School
Daniel LightwingYork College
Jack ShottonPortsmouth Grammar School
Lee ZhaoNottingham High School

The two reserves are:

NameSchool
Jos GibbonsKing Edward VI Camp Hill Boys’ School
Imdad SardharwallaKing Edward VI Grammar School, Chelmsford

The IMO Team Leader is Dr Geoff Smith of the University of Bath, the Deputy Leader is Dr Ceri Fiddes of Millfield School and the Observer with Leader is Dr Joseph Myers of CodeSourcery.

The team leave the UK for pre-IMO training on 1 July, travel to Ljubljana on 10 July and return to the UK on 19 July.

(4 May 2006)

The UK team in the Balkan Mathematical Olympiad in Cyprus have achieved the following scores (each question marked out of 10).

NameQ1Q2Q3Q4TotalMedal
Jos Gibbons0210214Bronze
Tim Hennock00011
Jonathan Lee1010112Bronze
Daniel Lightwing070916Bronze
Julia Robson00202
Dominic Rowland00156

The medal cut-offs were 32 for gold, 20 for silver and 11 for bronze. The problems are available on Mathlinks.

(30 April 2006)

The UK team in the Balkan Mathematical Olympiad in Cyprus have achieved the following scores (out of 40).

NameTotalMedal
Jos Gibbons14Bronze
Tim Hennock1
Jonathan Lee12Bronze
Daniel Lightwing16Bronze
Julia Robson2
Dominic Rowland6

The Team Leader at the Balkan Mathematical Olympiad is Richard Atkins of Oundle School, UK IMO Deputy Leader from 1999 to 2003, and the Deputy Leader is Dr Ian Jackson of Tonbridge School, UK IMO silver medallist in 1981.

In the light of his performance in the Balkan Mathematical Olympiad, Daniel has been added to the squad of eight from which the team of six and two reserves for the IMO in Ljubljana, Slovenia will be selected:

NameSchool
Tom EcclesSt. Paul’s School, London
Jos GibbonsKing Edward VI Camp Hill Boys’ School
Saul GlasmanThe Latymer School, Edmonton, London
Jonathan LeeLoughborough Grammar School
Daniel LightwingYork College
Imdad SardharwallaKing Edward VI Grammar School, Chelmsford
Jack ShottonPortsmouth Grammar School
Lee ZhaoNottingham High School

(Two of the eight students originally selected after the training camp held at Trinity College, Cambridge from 6–10 April 2006 had withdrawn in order to represent the UK in the Chemistry and Physics Olympiads.)

The IMO Team Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dr Ceri Fiddes of Millfield School. The IMO will take place from 6–18 July.

(11 April 2006, revised 14–18 April 2006)

After the training camp held at Trinity College, Cambridge from 6–10 April 2006, the squad of seven from which the team of six and one reserve for the IMO in Ljubljana, Slovenia will be selected has been chosen as:

NameSchool
Tom EcclesSt. Paul’s School, London
Jos GibbonsKing Edward VI Camp Hill Boys’ School
Saul GlasmanThe Latymer School, Edmonton, London
Jonathan LeeLoughborough Grammar School
Imdad SardharwallaKing Edward VI Grammar School, Chelmsford
Jack ShottonPortsmouth Grammar School
Lee ZhaoNottingham High School

(Some students originally selected have withdrawn in order to compete in the Chemistry and Physics Olympiads.)

The Leader is Dr Geoff Smith of the University of Bath and the Deputy Leader is Dr Ceri Fiddes of Millfield School. The IMO will take place from 6–18 July.

(5 March 2006)

The UK has been invited as a guest nation to send a team to the Balkan Mathematical Olympiad, to be held in Agros, Cyprus from 27 April to 3 May 2006. The Team Leader will be Richard Atkins of Oundle School, UK IMO Deputy Leader from 1999 to 2003, and the Deputy Leader will be Dr Ian Jackson of Tonbridge School, UK IMO silver medallist in 1981. The team has been selected as:

NameSchool
Jos GibbonsKing Edward VI Camp Hill Boys’ School
Tim HennockChrist’s Hospital
Jonathan LeeLoughborough Grammar School
Daniel LightwingYork College
Julia RobsonPerse School for Girls
Dominic RowlandWinchester College

(31 January 2006)

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

(19 January 2006)

The list of prizewinners at BMO1 is now available.

(30 November 2005)

This year’s BMO Round 1 paper was taken today.

(19 September 2005)

The IMO team’s success was celebrated at the Royal Society on Monday 19 September; Professor Frances Kirwan, FRS gave the 28th annual IMO lecture, on “Topology, Geometry and Strings”.

(16 September 2005)

The Balkan Mathematical Olympiad information now includes Robin Bhattacharyya’s report on the 2005 olympiad. Some photographs from that olympiad taken by Robin Bhattacharyya and Amanda Turner are also available online.

(29 July 2005)

The reports on past IMOs now include Geoff Smith’s report on IMO 2005.

(16–20 July 2005)

The IMO papers were sat on 13 and 14 July. The results of the UK team members are shown below. We came 13th out of 91 countries competing with one Gold, three Silver and two Bronze medals and a score of 159 out of 252. This score of 159 is our highest since 1996, as is our total of four Gold or Silver medals. Martin Orr is the first ever IMO Gold medallist from Northern Ireland. The medal boundaries were 35 for gold, 23 for silver and 12 for bronze. The team have now returned to the UK, and their success will be celebrated at the Royal Society on Monday 19 September; Professor Frances Kirwan, FRS will give the 28th annual IMO lecture, on “Topology, Geometry and Strings”. See also Adrian’s last bulletin below.

NameQ1Q2Q3Q4Q5Q6TotalMedal
Saul Glasman27073120Bronze
Nathan Kettle77773233Silver
Andre Kueh37771732Silver
Matthew Lee17077123Silver
Martin Orr77677135Gold
Jack Shotton27070016Bronze

(16:14 BST, 20 July 2005)

Dear all,

We are now returned from Mérida, safe and well. I’m sorry that we were not able to keep in touch with you as much as usual during the IMO—computers were scarce, and our lives were further complicated during the last couple of days of the IMO by the arrival of Hurricane Emily.

The IMO papers and full results are available on the IMO website at www.imo2005.org

The UK came 13th with 1 gold, 3 silver and 2 bronze medals, a very good performance indeed for us. I shall not comment on the problems, since I imagine that many of you may still want to have a go at them.

For the first time in ten years, a special prize was awarded this year, to a student from Moldova who found an extremely quick and elegant solution to problem 3.

IMO 2005 will go down as one of the best ever. The Mexicans were warm and generous hosts, and very well organized throughout. The accommodation was excellent. So too was the co-ordination of the exam scripts, which is always a (the?) make-or-break test for a good IMO.

Many thanks to Joseph for the excellent support that he provided back in the UK, and thanks once again to all of you for all your brilliant assistance with UK IMO preparation this year.

Best wishes, Adrian

(Full text of message available.)

(18 July 2005)

Hurricane Emily has now passed by Mérida; all IMO participants are safe. There is no current indication of any disruption to the UK team’s return journey, although the UK IMO leadership in Mérida have not yet definitely confirmed that the flights are on as scheduled.

(17 July 2005)

Hurricane Emily is expected to pass over Mérida on Monday. IMO participants are safely sheltered in windowless safe rooms in the IMO hotels which are the strongest buildings in the area and serve as evacuation centres for the surrounding area. Further news will be added to this site when available, but the hurricane may bring down communications links from Mérida.

(14 July 2005)

Problem 4. Consider the sequence a1, a2, ... defined by

an = 2n + 3n + 6n - 1  (n = 1, 2, ...).

Determine all positive integers that are relatively prime to every term of the sequence.

Problem 5. Let ABCD be a given convex quadrilateral with sides BC and AD equal in length and not parallel. Let E and F be interior points of the sides BC and AD respectively such that BE = DF. The lines AC and BD meet at P, the lines BD and EF meet at Q, the lines EF and AC meet at R. Consider all the triangles PQR as E and F vary. Show that the circumcircles of these triangles have a common point other than P.

Problem 6. In a mathematical competition 6 problems were posed to the contestants. Each pair of problems was solved by more than 2/5 of the contestants. Nobody solved all the 6 problems. Show that there were at least 2 contestants who each solved exactly 5 problems.

(13 July 2005)

Problem 1. Six points are chosen on the sides of an equilateral triangle ABC: A1, A2 on BC; B1, B2 on CA; C1, C2 on AB. These points are the vertices of a convex hexagon A1A2B1B2C1C2 with equal side lengths. Prove that the lines A1B2, B1C2 and C1A2 are concurrent.

Problem 2. Let a1, a2, ... be a sequence of integers with infinitely many positive terms and infinitely many negative terms. Suppose that for each positive integer n, the numbers a1, a2, ..., an leave n different remainders on division by n. Prove that each integer occurs exactly once in the sequence.

Problem 3. Let x, y and z be positive real numbers such that xyz ≥ 1. Prove that (x5-x2)/(x5+y2+z2) + (y5-y2)/(y5+z2+x2) + (z5-z2)/(z5+x2+y2) ≥ 0.

(07:53 BST, 2 July 2005)

All being well, we shall leave for our final IMO preparation camp in Houston this morning. The team is in very good shape—thanks in large part to the assistance that you have all given them over the past months. So I hope that we shall have good news to report from Mexico in a couple of weeks time. Good news or not so good, I’ll keep you informed of our progress so far as I can. The IMO papers are on the 13th and 14th, so complete results should be known by the evening of the 16th. Please do forward any information that I send to anyone else who you think might be interested.

Adrian

(Full text of message available.)

(1 June 2005)

After the training camp held at Oundle School from 28 May–1 June 2005, the team of six for the IMO (to be held in Mérida, Yucatán, México from 8–19 July 2005) has been chosen as:

NameSchool
Saul GlasmanThe Latymer School, Edmonton, London
Nathan KettleHitchin Boys’ School, Hertfordshire
Andre KuehBromsgrove School
Matthew LeeThe Robert Smyth School, Market Harborough, Leicestershire
Martin OrrMethodist College, Belfast
Jack ShottonPortsmouth Grammar School

The two reserves are (in alphabetical order):

Tom EcclesSt. Paul’s School, London
Alex SmithKing Edward VI Five Ways, Birmingham

This was a particularly difficult decision, and the selection committee spent a very long time trying to discriminate between the sixth and seventh placed students. Their work was examined in considerable detail.

The team leave the UK for pre-IMO training on 2 July, travel to Mérida on 11 July and return to the UK on 20 July.

(7–8 May 2005)

The UK team in the Balkan Mathematical Olympiad have achieved the following scores. Each question is marked out of ten; the problems are available on the Balkan Mathematical Olympiad website. The medal cutoffs are 33 for gold, 22 for silver and 10 for bronze.

NameQ1Q2Q3Q4TotalMedal
Konrad Dąbrowski32005
Chris Kerr0101112Bronze
Edward Newkirk01089
Jack Shotton1010011Bronze
Lee Zhao01045
Bo Zheng1020012Bronze

The UK placed 11th out of 14 teams at the olympiad:

189 Romania
146 Bulgaria
139 Moldova
134 Kazakhstan
128 Romania B
127 Turkey
115 Hungary
99 Greece, Serbia and Montenegro
71 Albania
54 UK
48 Macedonia
30 Yakutia
23 Cyprus

(12 April 2005)

After the training camp held at Trinity College, Cambridge from 7–11 April 2005, the squad of eight from which the team of six and two reserves for the IMO in Mérida will be selected has been chosen as:

NameSchool
Tom EcclesSt. Paul’s School, London
Saul GlasmanThe Latymer School, Edmonton, London
Nathan KettleHitchin Boys’ School, Hertfordshire
Andre KuehBromsgrove School
Matthew LeeThe Robert Smyth School, Market Harborough, Leicestershire
Martin OrrMethodist College, Belfast
Jack ShottonPortsmouth Grammar School
Alex SmithKing Edward VI Five Ways, Birmingham

(24 February 2005)

The UK team for the Balkan Mathematical Olympiad in Iași, Romania has been chosen as:

NameSchool
Konrad DąbrowskiClitheroe Royal Grammar School
Christopher KerrWinchester College
Edward Newkirkan international school
Jack ShottonPortsmouth Grammar School
Lee ZhaoNottingham High School
Bo ZhengGlasgow Academy

(25 January 2005)

Robin Bhattacharyya will lead the UK team to the Balkan Mathematical Olympiad in Iași, Romania during May 4–10, 2005. Robin is a teacher at Highgate School. (Robin was a reserve for the UK IMO team in 1992.)

Amanda Turner, a research student at the University of Cambridge, will be the deputy leader. She represented South Africa at IMOs in 1996 and 1997. At the second event she was awarded a bronze medal.

The team will be selected at the BMO 2 marking session on February 12th. A public announcement of the team is expected by February 19th.

(17 January 2005)

A histogram of distribution of marks in BMO Round 1 is now available.

(13 December 2004)

The BMO 1 scripts were marked in Peterborough on 10–11 December. The marks and BMO 2 invitations will be sent to schools shortly.

(25 November 2004)

IMO 2005, originally proposed to be held in Cancún, Quintana Roo, México, will now instead be held in Mérida, Yucatán, México from July 8–19, 2005, a week later than originally planned, to avoid possible impact from any political changes arising from state elections to be held in Quintana Roo before July 2005.

(10 November 2004)

Dr Ceri Fiddes, a teacher at Millfield School in Somerset, will be the UK Deputy Leader from IMO 2006 (Slovenia) onwards, the first female UK IMO Leader or Deputy Leader since 1972.

(20 September 2004)

The team’s success was celebrated at the Royal Society on Monday 20 September; Professor Tim Gowers, FRS gave the 27th annual IMO lecture, on “How to specify very very large integers”.

(28 July 2004)

The reports on past IMOs now include Geoff Smith’s report on IMO 2004.

(15–19 July 2004)

The IMO papers were sat on 12 and 13 July. The results of the UK team members are shown below. We came 20th out of 85 countries competing with one Gold, one Silver and four Bronze medals and a score of 134 out of 252. For individual bulletins from Greece, see below. See also the UKMT press release.

NameQ1Q2Q3Q4Q5Q6TotalMedal
Giles Coope72273223Bronze
David Fidler76173024Silver
Paul Jefferys77273632Gold
Martin Orr67270022Bronze
Alexander Shannon26071016Bronze
Anne Marie Shepherd71171017Bronze

(07:15 BST, 16 July 2004)

Here is some further information on the IMO—mostly for Joseph’s benefit, but it may be of interest to some others of you as well.

The full UK results were

UNK1 (Coope) 7 2 2 7 3 2 = 23
UNK2 (Fidler) 7 6 1 7 3 0 = 24
UNK3 (Jefferys) 7 7 2 7 3 6 = 32
UNK4 (Orr) 6 7 2 7 0 0 = 22
UNK5 (Shannon) 2 6 0 7 1 0 = 16
UNK6 (Shepherd) 7 1 1 7 1 0 = 17

There was some beautiful stuff from David Fidler. As last year, we were reasonably efficient on the easier questions 1,2,4—but rather disappointing on the rest, particularly question 5.

There were 87 countries participating altogether, including Mozambique (MOZ) and Saudi Arabia (KSA) for the first time. The number of Arab nations was higher than usual—Morocco, Tunisia, Kuwait, Saudi Arabia.

Forthcoming hosts were announced: Spain 2008 (unknown location), Germany 2009 (Bremen).

Full results for countries were as follows:

Albania 57
Argentina 92
Armenia 98
Australia 125
Austria 55
Azerbaijan 72
Belarus 154
Belgium 86
Bosnia and Hercegovina 40
Brazil 132
Bulgaria 194
Canada 132
China 220
Colombia 122
Croatia 89
Cuba 17 (one contestant)
Cyprus 49
Czech Rep 109
Denmark 46
Ecuador 14
Estonia 85
Finland 49
FYROM 71
France 94
Georgia 123
Germany 130
Greece 126
Hong Kong 120
Hungary 187
Iceland 35
India 151
Indonesia 61
Iran 178
Ireland 48
Israel 147
Italy 69
Japan 182
Kazakhstan 132
Korea 166
Kuwait 5
Kyrgystan 63
Latvia 63
Lithuania 65
Luxembourg 36 (3 contestants)
Macau 86
Malaysia 34
Mexico 96
Moldova 140
Mongolia 135
Morocco 88
Mozambique 13 (3)
Netherlands 53
New Zealand 56
Norway 55
Paraguay 13 (3)
Peru 49 (3)
Phillipines 16 (5)
Poland 142
Portugal 26
Puerto Rico 43 (5)
Romania 176
Russia 205
Saudi Arabia 4
Serbia and Montenegro 132
Singapore 139
Slovakia 119
Slovenia 69
South Africa 110
Spain 57
Sri Lanka 33
Sweden 75
Switzerland 57
Taiwan 190
Thailand 99
Trinidad and Tobago 29 (5)
Tunisia 31
Turkey 119
Turkmenistan 52
Ukraine 174
UK 134
USA 212
Uruguay 47
Uzbekistan 79
Venezuela 15 (2)
Vietnam 196

Apologies for spelling errors in the above: some have crept in, I’m sure.

UK was third in the EU (Hungary, Poland) and third in the Commonwealth (India, Singapore).

The four students with 42 came from Canada, Hungary, Russia and Russia.

The UK students are all delighted with their medals, and are now enjoying the post-exam part of the IMO.

Adrian + Geoff

(Full text of message available.)

(23:36 BST, 15 July 2004)

Well everything is now known. The UK points totals were as follows:

Giles Coope  23 bronze
David Fidler  24 silver
Paul Jefferys  32 gold
Martin Orr  22 bronze
Alexander Shannon  16 bronze
Anne Marie Shepherd  17 bronze

These marks were fair. I think some of our students might have done a little better on another day, but getting 6 medals is great. We got full marks on q.4, and solid totals on q.1 and q.2, but rather little elsewhere.

The cutoffs were 16, 24 and 32. We came 19th. The top four teams in order were China, USA, Russia and Vietnam. Four students got 42s.

I shall provide more complete data (as requested by Joseph) tomorrow morning on our performance and on the IMO scores in general. I just need to find Gordon Lessells...

Many of you have emailed me interesting comments about the papers—sorry I haven’t had the chance to reply to you individually. I think the consensus around here is that the papers were pretty good. Question 3 was found relatively difficult (< 10 solvers, I think), and q.6 relatively straightforward. I suspect when the data is analysed that q.5 will be found to be a rather difficult one for that position on the paper.

The IMO experience as a whole has been excellent, though a somewhat improvisatory sense of organization has prevailed at times.

Best wishes to one and all,

Adrian

(Full text of message available.)

(05:06 BST, 14 July 2004)

Coordination begins this morning, and I should be able to give bulletins from now on. I won’t say anything yet about how our team and others have found the problems, because I imagine many of you will want to have a go at them.

We have performed solidly—and in case you are wondering, Paul does not have a 42 possibility. Six medals looks realistic for us at this stage.

Best wishes,

Adrian

(Full text of message available.)

(12 and 13 July 2004)

These were formerly provided here; they are now included in Geoff Smith’s report on IMO 2004, available from the collection of reports on past IMOs.

(11 July 2004)

The IMO papers are being sat on 12 and 13 July, and we wish the UK team the best of luck in those papers, and our Leader, Deputy Leader and Observers the best of luck in the subsequent Co-ordination. Results will appear here as soon as they are available, probably on 15 or 16 July.

(2 June 2004)

The UK team for IMO 2004 in Athens has been chosen as:

NameSchool
Giles CoopeFallibroome High School, Macclesfield, Cheshire
David FidlerThe Haberdashers’ Aske’s Boys’ School, Elstree, Hertfordshire
Paul JefferysBerkhamsted Collegiate School, Hertfordshire
Martin OrrMethodist College, Belfast
Alexander ShannonThe King’s School, Canterbury, Kent
Anne Marie ShepherdIlkley Grammar School, West Yorkshire

The three reserves are:

Alex DaviesWinchester College, Hampshire
Matthew LeeThe Robert Smyth School, Market Harborough, Leicestershire
Alex SmithKing Edward VI Five Ways, Birmingham

(5 April 2004, school details added 6 April 2004)

After the training camp held at Trinity College, Cambridge from 1–5 April 2004, the squad of nine from which the team of six and three reserves for the IMO in Athens will be selected has been chosen as:

NameSchool
Giles CoopeFallibroome High School, Macclesfield, Cheshire
Alex DaviesWinchester College, Hampshire
David FidlerThe Haberdashers’ Aske’s Boys’ School, Elstree, Hertfordshire
Paul JefferysBerkhamsted Collegiate School, Hertfordshire
Matthew LeeThe Robert Smyth School, Market Harborough, Leicestershire
Martin OrrMethodist College, Belfast
Alexander ShannonThe King’s School, Canterbury, Kent
Anne Marie ShepherdIlkley Grammar School, West Yorkshire
Alex SmithKing Edward VI Five Ways, Birmingham

(24 February 2004)

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

(3 December 2003)

This year’s BMO Round 1 paper was taken today.

(29 September 2003)

The team’s success was celebrated at the Royal Society on Monday 29 September; Professor Adrian Smith FRS gave the 26th annual IMO lecture on “Why Detectives and Judges need to understand probability”.

(31 July 2003)

The reports on past IMOs now include Geoff Smith’s report on IMO 2003.

(17 July 2003, last updated 21 July 2003)

In IMO 2003 held in Tokyo, the UK came equal 10th (with Hungary), with one Gold, two Silver and three Bronze medals, being the top Western European team and the top Commonwealth team. Individual scores (all in the top 30% of scores) were:

NameQ1Q2Q3Q4Q5Q6TotalMedal
Nathan Bowler73051117Bronze
David Fidler73070017Bronze
Jenny Gardner77077028Silver
Paul Jefferys77077129Gold
Gavin Johnstone73071018Bronze
Martin Orr73071119Silver