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mark each). Part B consists of 6 questions and encourages students to write out full solutions. Each question in section B is worth 10 marks and students are encouraged to write complete answers to 2-4 questions rather than hurry through incomplete answers to all 6. If the solution is judged to be incomplete, it is marked on a 0+ basis, maximum 3 marks. If it has an evident logical strategy, it is marked on a 10- basis. The total mark for the whole paper is 70. Everyone who participates in this challenge will gain a certificate (Participation 75%, Distinction 25%); the top 200 or so gaining medals (Gold, Silver, Bronze); with the top fifty winning a book prize.
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faults, poor reasoning, or unproven assumptions. As a result, it is quite uncommon for an answer to score a middling mark (e.g. 4–6). This makes the maximum mark out of 60. For a student to get two questions fully correct is considered "very good". All people taking part in this challenge will get a certificate (participation for the bottom 50%, merit for the next 25% and distinction for the top 25%). The mark boundaries for these certificates change every year, but normally around 30 marks will gain a
Distinction. Those scoring highly (the top 50) will gain a
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25:
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The
Intermediate Mathematical Challenge (IMC) is aimed at school years equivalent to English Years 9-11, taking place in winter each year. Following the same structure as the JMC, this paper presents the student with twenty-five multiple choice questions to be done under exam conditions in one hour.
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A pilot event for a competition similar to the Team
Challenge, aimed at 16- to 18-year-olds, was launched in the Autumn of 2007 and has been running ever since. The format is much the same, with a limit of two year 13 (Upper Sixth-Form) pupils per team. Regional finals take place between October and
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The UKMT Team Maths
Challenge is an annual event. One team from each participating school, comprising four pupils selected from year 8 and 9 (ages 12–14), competes in a regional round. No more than 2 pupils on a team may be from Year 9. There are over 60 regional competitions in the UK, held between
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syllabus and explore wider and more challenging areas of mathematics. The UKMT aims to "promote mathematical thinking" and "provide an opportunity for participants to meet other students and adults who enjoy mathematics". They were delivered virtually during the COVID-19 pandemic but had reverted to
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in 1987, and were run by him under the name of the United
Kingdom Mathematics Foundation until 1996. In 1995, Gardiner advertised for the formation of a committee and for a host institution that would lead to the establishment of the UKMT, enabling the challenges to be run effectively together under
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Round 1 of the
Olympiad is a three-and-a-half hour examination including six more difficult, long answer questions, which serve to test entrants' problem-solving skills. As of 2005, a more accessible first question was added to the paper; before this, it only consisted of 5 questions. Approximately
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The highest 1200 scorers are also invited to take part in the Junior
Mathematical Olympiad (JMO). Like the JMC, the JMO is sat in schools. This is also divided into two sections. Part A is composed of 10 questions in which the candidate gives just the answer (not multiple choice), worth 10 marks (1
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The national mathematics competitions had existed prior to the formation of the trust, but the foundation of the UKMT in the summer of 1996 enabled them to be run collectively. The Senior
Mathematical Challenge was formerly called the National Mathematics Contest. Founded in 1961, it was run by the
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The Senior
Mathematical Challenge (SMC) takes place in late-autumn each year, and is open to students who are aged 19 or below and are not registered to attend a university. SMC consists of twenty-five multiple choice questions to be answered in 90 minutes. All candidates start with 25 marks, each
800:
Selected by lottery, 48 of the top 1.5% of scorers in the IMC are invited to participate in one of three week-long
National Mathematics Summer Schools in July. Each from a different school across the UK, the 24 boys and 24 girls are facilitated with a range of activities, including daily lectures,
720:
Each paper contains six questions. Each solution is marked out of 10 on a 0+ and 10- scale; that is to say, if an answer is judged incomplete or unfinished, it is awarded a few marks for progress and relevant observations, whereas if it is presented as complete and correct, marks are deducted for
414:
Over 10,000 participants from the JMC are invited to participate in the Junior Kangaroo. Most of the Junior Kangaroo participants are those who performed well in the JMC, however the Junior Kangaroo is open to discretionary entries for a fee. Similar to the JMC, the Junior Kangaroo is a 60 minute
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In the National Final however an additional 'Poster Round' is added at the beginning. The poster round is a separate competition, however, since 2018 it is worth up to six marks towards the main event. Four schools have won the Junior Maths Team competition at least twice: Queen Mary's Grammar
231:
The Junior Mathematical Challenge (JMC) is an introductory challenge for pupils in Years 8 or below (aged 13) or below, taking place in spring each year. This takes the form of twenty-five multiple choice questions to be sat in exam conditions, to be completed within one hour. The first fifteen
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In the Junior and Intermediate Challenges the top scoring 50% of the entrants receive bronze, silver or gold certificates based on their mark in the paper. In the Senior Mathematical Challenge these certificates are awarded to top scoring 66% of the entries. In each case bronze, silver and gold
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In the past, only the top 40% of participants received a certificate in the Junior and Intermediate Challenges, and only the top 60% of participants received a certificate in the Senior Challenge. The ratio of bronze, silver, and gold have not changed, still being 3 : 2 : 1.
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and the next around 6000 highest scorers are invited to sit the Senior Kangaroo. Discretionary candidates are those students who are entered by their mathematics teachers, on payment of a fee, who did not score quite well enough in the SMC, but who might cope well in the next round.
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Again, the top 40% of students taking this challenge get a certificate. There are two follow-on rounds to this competition: The European Kangaroo and the Intermediate Mathematical Olympiad. Additionally, top performers can be selected for the National Mathematics Summer Schools.
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Next 40% get Certificate of Merit. Remaining 35% get Certificate of Qualification or Participation. Top 40 get a gold medal, the next 60 a silver medal, the next 100 a bronze medal. All medalists receive a book prize. Only questions 11-16 are considered for medals
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by over 3 million pupils from more than 37 countries. Two different Kangaroo papers follow on from the Intermediate Maths Challenge and the next 5500 highest scorers below the Olympiad threshold are invited to take part (both papers are by invitation only). The
1143:
The Senior Kangaroo is a one-hour examination to which the next around 6000 highest scorers below the Olympiad threshold are invited. The paper consists of twenty questions, each of which require three digit answers
717:' named after famous mathematicians. The paper the student will undertake depends on the year group that student is in (Cayley for those in year 9 and below, Hamilton for year 10 and Maclaurin for year 11).
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February and May. The winning team in each regional round, as well as a few high-scoring runners-up from throughout the country, are then invited to the National Final in London, usually in late June.
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1840:
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Remaining participants receive Certificate of Qualification or Participation. Top 20 get a gold medal, the next 30 a silver medal, the next 50 a bronze medal. All medalists receive a book prize.
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Remaining participants receive Certificate of Qualification or Participation. Top 20 get a gold medal, the next 30 a silver medal, the next 50 a bronze medal. All medalists receive a book prize.
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is sat by those in years 10 and 11. The top 25% of scorers in each paper receive a certificate of merit and the rest receive a certificate of participation. All those who sit either
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The UKMT runs a series of mathematics challenges to encourage children's interest in mathematics and to develop their skills. The three main challenges are:
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Unlike the JMC and IMC, the top 66% get one of the three certificates. Further, the top 1000 highest scorers who are eligible to represent the UK at the
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marks. Previously, the top 40% of students (50% since the 2022 JMC) get a certificate of varying levels (Gold, Silver or Bronze) based on their score.
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1691:
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Mathematical Association from 1975 until its adoption by the UKMT in 1996. The Junior and Intermediate Mathematical Challenges were the initiative of
1119:, which is the follow-up round that has the same time limit as BMO1, but in which 4 harder questions are posed. The top 24 scoring students from the
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Shuttle (NB: The previous Head-to-Head Round has been replaced with another, similar to the Mini-Relay used in the 2007 and 2008 National Finals.)
2830:
2581:
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point for a wrong answer which tries to stop pupils guessing. The last five questions are intended to be the most challenging and so are also
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prize; again, this changes every year, with 44 marks required in the Maclaurin paper in 2006. Also, the top 100 candidates will receive a
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The IMOK is sat by the top 500 scorers from each school year in the Intermediate Maths Challenge and consists of three papers, '
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2018:
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35:
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2240:
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1152:). The top 25% of candidates receive a certificate of merit and the rest receive a certificate of participation.
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point penalty for an incorrectly answered question. Questions to which no answer is entered will gain (and lose)
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763:). There are twenty-five multiple-choice questions and no penalty marking. This paper is taken throughout
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certificates are awarded in the ratio 3 : 2 : 1. So in the Junior and Intermediate Challenges
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Remaining participants receive Certificate of Qualification or Participation. Top 30 get a book prize.
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marks for getting a question in this section correct. Questions 16-20 are more difficult and are worth
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marks for getting a question in this section correct. Questions 16-20 are more difficult and are worth
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2780:
1327:
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marks. However, in recent years there has been no negative marking so wrong questions will be given
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School in Walsall, City of London School, St Olave's Grammar School, and Westminster Under School.
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866:, together with any discretionary and international candidates, are invited to compete in the
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challenge consisting of 25 multiple-choice problems. Correct answers for Questions 1-15 earn
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mark is deducted for each incorrect answer. This gives a score between 0 and 125 marks.
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Please help update this article to reflect recent events or newly available information.
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marks. The last five questions are intended to be the most challenging and so are also
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The top 25% of participants in the Junior Kangaroo receive a Certificate of Merit.
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Remaining participants receive Certificate of Qualification or Participation.
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The first fifteen questions are designed to be easier, and a pupil will gain
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Highest-scoring participants receive Certificates of Distinction or Merit.
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Highest-scoring participants receive Certificates of Distinction or Merit.
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Highest-scoring participants receive Certificates of Distinction or Merit.
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Highest-scoring participants receive Certificates of Distinction or Merit.
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OR invitation from good MOG performance, OR discretionary entry at a fee.
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International Mathematics Competition for University Students (IMC) site
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December, with the National Final in early February the following year.
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Kangaroo is a competition which follows the same structure as the AMC (
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1808:, several training camps throughout the year such as a winter camp in
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are used if the answer is less than 100, since the paper is marked by
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marks. Questions to which no answer is entered will gain (and lose)
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Remaining 75% get Certificate of Qualification or Participation.
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Invitation from good SMC performance (around 6,000 invitations),
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Remaining 75% get Certificate of Qualification or Participation.
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Invitation from good IMC performance (around 8,000 invitations),
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Remaining 75% get Certificate of Qualification or Participation.
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100 highest scoring candidates from BMO1 are invited to sit the
802:
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2382:"British Mathematical Olympiad Round 2 | UK Mathematics Trust"
2357:"British Mathematical Olympiad Round 1 | UK Mathematics Trust"
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1994:
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National Centre for Excellence in the Teaching of Mathematics
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International Mathematics Competition for University Students
2056:"Intermediate Mathematical Challenge | UK Mathematics Trust"
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questions are designed to be easier, and a pupil will gain
111:
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Invitation from good SMC performance (usually top 1,000),
702:(IMOK = Intermediate Mathematical Olympiad and Kangaroo).
630:
Invitation from good IMC performance (usually top 1,500),
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2712:
Science, Technology, Engineering and Mathematics Network
2407:"Mathematical Olympiad for Girls | UK Mathematics Trust"
2332:"Andrew Jobbings Senior Kangaroo | UK Mathematics Trust"
2181:"Maclaurin Mathematical Olympiad | UK Mathematics Trust"
2260:"Week-long residential events for young mathematicians"
2156:"Hamilton Mathematical Olympiad | UK Mathematics Trust"
42:
2587:
British Society for Research into Learning Mathematics
2289:"Senior Mathematical Challenge | UK Mathematics Trust"
1940:"Junior Mathematical Challenge | UK Mathematics Trust"
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Top 25% of candidates receive a Certificate of Merit.
607:
Top 25% of candidates receive a Certificate of Merit.
2131:"Cayley Mathematical Olympiad | UK Mathematics Trust"
1995:"Junior Mathematical Olympiad | UK Mathematics Trust"
1070:
Discretionary entry at a fee (first 4 entries free).
913:
Scotland: S6 or below Northern Ireland: Y14 or below
518:
Scotland: S4 or below Northern Ireland: Y12 or below
34:
may contain excessive or inappropriate references to
1816:, and other training and selection of the IMO team.
341:
Good performance (at least Gold certificate) in JMC
294:
Scotland: S2 or below Northern Ireland: Y9 or below
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2818:
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931:4 marks each / penalty of 1 if wrong answer chosen
554:6 marks each / penalty of 2 if wrong answer chosen
545:6 marks each / penalty of 1 if wrong answer chosen
107:
99:
91:
202:award is achieved by the top 8-9% of the entrants.
2519:Intermediate Mathematical Challenge Sample Paper
1123:are subsequently invited to a training camp at
772:is sat by students in year 9 and below and the
2572:International Centre for Mathematical Sciences
658:Separately awarded for each Olympiad's cohort:
605:Separately awarded for each Kangaroo's cohort:
2612:Institute of Mathematics and its Applications
2544:
423:marks. Blank or incorrect answers are marked
8:
2504:British Mathematical Olympiad Committee site
366:Around top 1,200 performers in JMC invited.
209:award is achieved by 16-17% of the entrants.
79:
2908:Mathematics education in the United Kingdom
2802:Philosophy of Mathematics Education Journal
2577:Advisory Committee on Mathematics Education
1029:British Mathematical Olympiad Round 2(BMO2)
992:British Mathematical Olympiad Round 1(BMO1)
2750:University of Liverpool Mathematics School
2745:Lancaster University School of Mathematics
2551:
2537:
2529:
2524:Senior Mathematical Challenge Sample Paper
2514:Junior Mathematical Challenge Sample Paper
943:Top 66% of candidates in ratio 3:2:1 get:
873:
694:To prevent this getting confused with the
561:Top 50% of candidates in ratio 3:2:1 get:
478:
328:Top 50% of candidates in ratio 3:2:1 get:
254:
78:
2893:1996 establishments in the United Kingdom
1481:King Edward VI Grammar School, Chelmsford
1301:Queen Elizabeth's Grammar School for Boys
911:England Wales and Overseas: Y13 or below
516:England Wales and Overseas: Y11 or below
427:; there is no penalty for wrong answers.
216:award is achieved by 25% of the entrants.
65:Learn how and when to remove this message
2740:King's College London Mathematics School
2499:United Kingdom Mathematics Trust website
1970:"Junior Kangaroo | UK Mathematics Trust"
1413:
1184:
512:Intermediate Mathematical Challenge(IMC)
480:Summary of UKMT Intermediate Challenges
399:Top 25% get Certificate of Distinction.
292:England Wales and Overseas: Y8 or below
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2831:British Mathematical Olympiad Subtrust
2582:Association of Teachers of Mathematics
2433:British Mathematical Olympiad Subtrust
2106:"Pink Kangaroo | UK Mathematics Trust"
2081:"Grey Kangaroo | UK Mathematics Trust"
1798:British Mathematical Olympiad Subtrust
1790:British Mathematical Olympiad Subtrust
1783:British Mathematical Olympiad Subtrust
2657:Mathematics in Education and Industry
2592:Council for the Mathematical Sciences
2283:
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45:by removing references to unreliable
7:
1964:
1962:
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1934:
1932:
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1904:
1902:
1491:King Edward VI High School for Girls
1066:Mathematical Olympiad for Girls(MOG)
784:containing a different mathematical
419:marks, and for Questions 16-25 earn
368:Discretionary entry also available.
343:OR discretionary entry at some fee.
49:where they are used inappropriately.
2702:Oxford University Invariant Society
1836:International Mathematical Olympiad
1133:International Mathematical Olympiad
1033:Roughly top 100 scorers from BMO1,
935:All participants start on 25 points
864:International Mathematical Olympiad
796:National Mathematics Summer Schools
698:, this is often abbreviated to the
696:International Mathematical Olympiad
443:Intermediate Mathematical Challenge
176:Intermediate Mathematical Challenge
2898:Competitions in the United Kingdom
2266:. United Kingdom Mathematics Trust
2229:Intermediate Mathematical Olympiad
2211:Intermediate Mathematical Olympiad
1806:UK Mathematical Olympiad for Girls
907:Senior Mathematical Challenge(SMC)
875:Summary of UKMT Senior Challenges
761:Australian Mathematics Competition
690:Intermediate Mathematical Olympiad
353:Top 25% get Certificate of Merit.
288:Junior Mathematical Challenge(JMC)
256:Summary of UKMT Junior Challenges
14:
2652:Mathematics and Computing College
2559:Mathematics in the United Kingdom
1035:OR discretionary entry at a fee.
958:OR discretionary entry at a fee.
632:OR discretionary entry at a fee.
576:OR discretionary entry at a fee.
127:founded in 1996 to help with the
2622:United Kingdom Mathematics Trust
2465:United Kingdom Mathematics Trust
2447:United Kingdom Mathematics Trust
2315:United Kingdom Mathematics Trust
2243:United Kingdom Mathematics Trust
2225:United Kingdom Mathematics Trust
2207:United Kingdom Mathematics Trust
2039:United Kingdom Mathematics Trust
2021:United Kingdom Mathematics Trust
1890:United Kingdom Mathematics Trust
1876:United Kingdom Mathematics Trust
1862:United Kingdom Mathematics Trust
1314:King Edward's School, Birmingham
974:(answer a number from 1 to 999)
818:
790:The puzzles along with solutions
121:United Kingdom Mathematics Trust
86:United Kingdom Mathematics Trust
23:
1800:is run by UKMT, which runs the
1692:Royal Grammar School, Newcastle
1550:Royal Grammar School, Newcastle
1506:Colchester Royal Grammar School
1369:Magdalen College School, Oxford
1323:Colchester Royal Grammar School
1306:Magdalen College School, Oxford
1239:Magdalen College School, Oxford
679:Maclaurin Mathematical Olympiad
2667:Millennium Mathematics Project
2602:Edinburgh Mathematical Society
1525:North London Collegiate School
669:Hamilton Mathematical Olympiad
1:
2826:British Mathematical Olympiad
1831:British Mathematical Olympiad
1802:British Mathematical Olympiad
1110:British Mathematical Olympiad
1104:British Mathematical Olympiad
868:British Mathematical Olympiad
810:Senior Mathematical Challenge
227:Junior Mathematical Challenge
182:Senior Mathematical Challenge
170:Junior Mathematical Challenge
2788:Glasgow Mathematical Journal
2025:Junior Mathematical Olympiad
1438:Torquay Boys' Grammar School
1411:Previous winners are below:
626:Cayley Mathematical Olympiad
434:Junior Mathematical Olympiad
362:Junior Mathematical Olympiad
2637:London Mathematical Society
1607:The Grammar School at Leeds
1602:Rainham Mark Grammar School
1582:The Grammar School at Leeds
1429:Poster Competition winners
1131:for the first stage of the
2924:
2707:School Mathematics Project
2687:National Numeracy Strategy
2627:Joint Mathematical Council
2565:Organizations and Projects
1814:Trinity College, Cambridge
1125:Trinity College, Cambridge
1107:
851:correct answer is awarded
806:in-person events by 2022.
801:designed to go beyond the
748:
2867:Thomas Bond Sprague Prize
2836:National Cipher Challenge
2735:Exeter Mathematics School
1788:For more information see
1382:St Olave's Grammar School
1377:University College School
1279:St Olave's Grammar School
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827:This section needs to be
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456:marks, with a penalty of
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184:(UK year 13/S6 and below)
178:(UK year 11/S4 and below)
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2903:Mathematics competitions
2795:The Mathematical Gazette
2647:Mathematical Association
2642:Making Mathematics Count
2632:Kent Mathematics Project
2471:, Thursday 19 April 2012
2453:, Thursday 19 April 2012
2435:, Thursday 19 April 2012
2321:, Thursday 19 April 2012
2249:, Thursday 19 April 2012
2231:, Thursday 19 April 2012
2045:, Thursday 19 April 2012
2027:, Thursday 19 April 2012
1896:, Thursday 19 April 2012
1864:, Thursday 19 April 2012
1511:Merchant Taylors' School
1395:Westminster Under School
1387:Westminster Under School
1284:Westminster Under School
1274:Westminster Under School
1269:Westminster Under School
172:(UK year 8/S2 and below)
112:https://www.ukmt.org.uk/
2852:Chartered Mathematician
1682:Magdalen College School
1573:Magdalen College School
1244:St Paul's Girls' School
1085:(answer with solution)
1048:(answer with solution)
1011:(answer with solution)
648:(answer with solution)
389:(answer with solution)
161:Mathematical Challenges
2767:Compositio Mathematica
2617:Isaac Newton Institute
2213:, Saturday 26 May 2012
2043:Intermediate Challenge
945:Bronze, Silver, Gold.
563:Bronze, Silver, Gold.
381:(correct answer only)
330:Bronze, Silver, Gold.
36:self-published sources
2247:Intermediate Kangaroo
1878:, Tuesday 10 May 2022
1565:City of London School
1403:Senior Team Challenge
1361:City of London School
1264:City of London School
1259:City of London School
1164:There are 4 rounds:
2872:Rollo Davidson Prize
2781:Forum of Mathematics
1916:UK Mathematics Trust
1812:, an Easter camp at
1712:King Edward's School
1647:King Edward's School
1637:Dunblane High School
1625:King Edward's School
1135:UK team selection.
876:
481:
257:
81:
2482:"Home | AMSP"
1770:Winchester College
1760:Westminster School
1731:Westminster School
1655:Westminster School
1560:Westminster School
1476:Westminster School
1457:Westminster School
874:
479:
464:marks, but with a
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157:one organisation.
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2682:National Numeracy
1826:European Kangaroo
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1775:Bancroft’s School
1687:Headington School
1545:Headington School
1540:Dean Close School
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1328:Bancroft's School
1289:Bancroft's School
1253:Orley Farm School
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751:European Kangaroo
745:European Kangaroo
737:for Hamilton and
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1927:
1926:
1924:
1922:
1908:
1897:
1894:Junior Challenge
1885:
1879:
1871:
1865:
1857:
1750:The Perse School
1717:The Perse School
1657:(three-way tie)
1627:(three-way tie)
1575:(three-way tie)
1521:(three-way tie)
1414:
1185:
1087:0~10 marks each
1050:0~10 marks each
1013:0~10 marks each
877:
843:
840:
834:
822:
821:
814:
650:0~10 marks each
482:
392:0~10 marks each
347:weeks after JMC
258:
82:
70:
63:
59:
56:
50:
27:
26:
19:
2923:
2922:
2918:
2917:
2916:
2914:
2913:
2912:
2883:
2882:
2881:
2876:
2840:
2814:
2754:
2721:
2560:
2557:
2495:
2490:
2489:
2480:
2479:
2475:
2469:Team Challenges
2461:
2457:
2451:Senior Kangaroo
2443:
2439:
2429:
2425:
2415:
2413:
2411:www.ukmt.org.uk
2405:
2404:
2400:
2390:
2388:
2386:www.ukmt.org.uk
2380:
2379:
2375:
2365:
2363:
2361:www.ukmt.org.uk
2355:
2354:
2350:
2340:
2338:
2336:www.ukmt.org.uk
2330:
2329:
2325:
2311:
2307:
2297:
2295:
2293:www.ukmt.org.uk
2287:
2286:
2279:
2269:
2267:
2258:
2257:
2253:
2239:
2235:
2221:
2217:
2203:
2199:
2189:
2187:
2185:www.ukmt.org.uk
2179:
2178:
2174:
2164:
2162:
2160:www.ukmt.org.uk
2154:
2153:
2149:
2139:
2137:
2135:www.ukmt.org.uk
2129:
2128:
2124:
2114:
2112:
2110:www.ukmt.org.uk
2104:
2103:
2099:
2089:
2087:
2085:www.ukmt.org.uk
2079:
2078:
2074:
2064:
2062:
2060:www.ukmt.org.uk
2054:
2053:
2049:
2035:
2031:
2017:
2013:
2003:
2001:
1999:www.ukmt.org.uk
1993:
1992:
1988:
1978:
1976:
1974:www.ukmt.org.uk
1968:
1967:
1958:
1948:
1946:
1944:www.ukmt.org.uk
1938:
1937:
1930:
1920:
1918:
1910:
1909:
1900:
1886:
1882:
1872:
1868:
1858:
1854:
1849:
1822:
1804:as well as the
1785:
1744:Concord College
1667:Backwell School
1519:Concord College
1515:Abingdon School
1486:Abingdon School
1467:No competition
1448:No competition
1405:
1356:Clifton College
1336:The Judd School
1168:Group Questions
1158:
1141:
1139:Senior Kangaroo
1112:
1106:
952:Senior Kangaroo
929:(multi-choice)
844:
838:
835:
832:
823:
819:
812:
798:
780:also receive a
753:
747:
741:for Maclaurin.
692:
597:(multi-choice)
595:Questions 16-25
589:(multi-choice)
551:(multi-choice)
549:Questions 21-25
542:(multi-choice)
540:Questions 16-20
534:(multi-choice)
445:
436:
412:
410:Junior Kangaroo
387:Questions 11-16
337:Junior Kangaroo
318:(multi-choice)
316:Questions 16-25
310:(multi-choice)
229:
191:
163:
149:
87:
71:
60:
54:
51:
40:
28:
24:
17:
12:
11:
5:
2921:
2919:
2911:
2910:
2905:
2900:
2895:
2885:
2884:
2878:
2877:
2875:
2874:
2869:
2864:
2859:
2854:
2848:
2846:
2842:
2841:
2839:
2838:
2833:
2828:
2822:
2820:
2816:
2815:
2813:
2812:
2805:
2798:
2791:
2784:
2777:
2770:
2762:
2760:
2756:
2755:
2753:
2752:
2747:
2742:
2737:
2731:
2729:
2723:
2722:
2720:
2719:
2714:
2709:
2704:
2699:
2694:
2689:
2684:
2679:
2674:
2669:
2664:
2659:
2654:
2649:
2644:
2639:
2634:
2629:
2624:
2619:
2614:
2609:
2604:
2599:
2594:
2589:
2584:
2579:
2574:
2568:
2566:
2562:
2561:
2558:
2556:
2555:
2548:
2541:
2533:
2527:
2526:
2521:
2516:
2511:
2506:
2501:
2494:
2493:External links
2491:
2488:
2487:
2473:
2455:
2437:
2423:
2398:
2373:
2348:
2323:
2305:
2277:
2251:
2233:
2215:
2197:
2172:
2147:
2122:
2097:
2072:
2047:
2029:
2011:
1986:
1956:
1928:
1898:
1880:
1866:
1851:
1850:
1848:
1845:
1844:
1843:
1838:
1833:
1828:
1821:
1818:
1784:
1781:
1778:
1777:
1772:
1767:
1762:
1757:
1753:
1752:
1747:
1746:(two-way tie)
1737:
1734:
1733:(two-way tie)
1724:
1720:
1719:
1714:
1709:
1704:
1699:
1695:
1694:
1689:
1684:
1679:
1674:
1670:
1669:
1664:
1661:
1658:
1644:
1640:
1639:
1634:
1631:
1628:
1617:Hampton School
1614:
1610:
1609:
1604:
1599:
1594:
1592:Hampton School
1589:
1585:
1584:
1579:
1576:
1562:
1557:
1553:
1552:
1547:
1542:
1537:
1532:
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1498:
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1374:
1371:
1366:
1363:
1358:
1353:
1347:
1346:
1341:
1338:
1333:
1330:
1325:
1319:Reading School
1316:
1311:
1308:
1303:
1298:
1292:
1291:
1286:
1281:
1276:
1271:
1266:
1261:
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1229:
1226:
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1214:
1209:
1204:
1201:
1196:
1191:
1179:
1178:
1175:
1172:
1169:
1157:
1156:Team Challenge
1154:
1140:
1137:
1108:Main article:
1105:
1102:
1099:
1098:
1092:
1089:
1080:
1077:
1074:
1071:
1068:
1062:
1061:
1055:
1052:
1043:
1040:
1037:
1031:
1025:
1024:
1018:
1015:
1006:
1003:
1000:
994:
988:
987:
981:
978:
972:Questions 1-20
969:
966:
963:
960:
954:
948:
947:
941:
938:
927:Questions 1-25
924:
921:
918:
915:
909:
903:
902:
899:
896:
893:
890:
887:
884:
881:
846:
845:
826:
824:
817:
811:
808:
797:
794:
749:Main article:
746:
743:
691:
688:
685:
684:
681:
675:
674:
671:
665:
664:
655:
652:
643:
640:
637:
634:
628:
622:
621:
618:
612:
611:
602:
587:Questions 1-15
584:
581:
578:
572:
566:
565:
559:
556:
532:Questions 1-15
529:
526:
523:
520:
514:
508:
507:
504:
501:
498:
495:
492:
489:
486:
444:
441:
435:
432:
411:
408:
405:
404:
397:
394:
379:Questions 1-10
376:
373:
370:
364:
358:
357:
351:
348:
345:
339:
333:
332:
326:
323:
308:Questions 1-15
305:
302:
299:
296:
290:
284:
283:
280:
277:
274:
271:
268:
265:
262:
228:
225:
218:
217:
210:
203:
190:
187:
186:
185:
179:
173:
162:
159:
148:
145:
115:
114:
109:
105:
104:
101:
97:
96:
93:
89:
88:
85:
73:
72:
31:
29:
22:
15:
13:
10:
9:
6:
4:
3:
2:
2920:
2909:
2906:
2904:
2901:
2899:
2896:
2894:
2891:
2890:
2888:
2873:
2870:
2868:
2865:
2863:
2860:
2858:
2857:Smith's Prize
2855:
2853:
2850:
2849:
2847:
2843:
2837:
2834:
2832:
2829:
2827:
2824:
2823:
2821:
2817:
2811:
2810:
2809:Plus Magazine
2806:
2804:
2803:
2799:
2797:
2796:
2792:
2790:
2789:
2785:
2783:
2782:
2778:
2776:
2775:
2771:
2769:
2768:
2764:
2763:
2761:
2757:
2751:
2748:
2746:
2743:
2741:
2738:
2736:
2733:
2732:
2730:
2728:
2727:Maths schools
2724:
2718:
2715:
2713:
2710:
2708:
2705:
2703:
2700:
2698:
2695:
2693:
2690:
2688:
2685:
2683:
2680:
2678:
2675:
2673:
2670:
2668:
2665:
2663:
2660:
2658:
2655:
2653:
2650:
2648:
2645:
2643:
2640:
2638:
2635:
2633:
2630:
2628:
2625:
2623:
2620:
2618:
2615:
2613:
2610:
2608:
2605:
2603:
2600:
2598:
2595:
2593:
2590:
2588:
2585:
2583:
2580:
2578:
2575:
2573:
2570:
2569:
2567:
2563:
2554:
2549:
2547:
2542:
2540:
2535:
2534:
2531:
2525:
2522:
2520:
2517:
2515:
2512:
2510:
2507:
2505:
2502:
2500:
2497:
2496:
2492:
2483:
2477:
2474:
2470:
2466:
2463:
2459:
2456:
2452:
2448:
2445:
2441:
2438:
2434:
2431:
2427:
2424:
2412:
2408:
2402:
2399:
2387:
2383:
2377:
2374:
2362:
2358:
2352:
2349:
2337:
2333:
2327:
2324:
2320:
2316:
2313:
2309:
2306:
2294:
2290:
2284:
2282:
2278:
2265:
2261:
2255:
2252:
2248:
2244:
2241:
2237:
2234:
2230:
2226:
2223:
2219:
2216:
2212:
2208:
2205:
2201:
2198:
2186:
2182:
2176:
2173:
2161:
2157:
2151:
2148:
2136:
2132:
2126:
2123:
2111:
2107:
2101:
2098:
2086:
2082:
2076:
2073:
2061:
2057:
2051:
2048:
2044:
2040:
2037:
2033:
2030:
2026:
2022:
2019:
2015:
2012:
2000:
1996:
1990:
1987:
1975:
1971:
1965:
1963:
1961:
1957:
1945:
1941:
1935:
1933:
1929:
1917:
1913:
1907:
1905:
1903:
1899:
1895:
1891:
1888:
1884:
1881:
1877:
1874:
1870:
1867:
1863:
1860:
1856:
1853:
1846:
1842:
1839:
1837:
1834:
1832:
1829:
1827:
1824:
1823:
1819:
1817:
1815:
1811:
1807:
1803:
1799:
1794:
1793:
1791:
1782:
1776:
1773:
1771:
1768:
1766:
1765:Ruthin School
1763:
1761:
1758:
1755:
1754:
1751:
1748:
1745:
1741:
1740:Ruthin School
1738:
1735:
1732:
1728:
1727:Durham School
1725:
1722:
1721:
1718:
1715:
1713:
1710:
1708:
1707:Tapton School
1705:
1703:
1702:Ruthin School
1700:
1697:
1696:
1693:
1690:
1688:
1685:
1683:
1680:
1678:
1677:Ruthin School
1675:
1672:
1671:
1668:
1665:
1662:
1659:
1656:
1652:
1651:Ruthin School
1648:
1645:
1642:
1641:
1638:
1635:
1632:
1629:
1626:
1622:
1621:Harrow School
1618:
1615:
1612:
1611:
1608:
1605:
1603:
1600:
1598:
1597:Alton College
1595:
1593:
1590:
1587:
1586:
1583:
1580:
1577:
1574:
1570:
1566:
1563:
1561:
1558:
1555:
1554:
1551:
1548:
1546:
1543:
1541:
1538:
1536:
1535:Alton College
1533:
1530:
1529:
1526:
1523:
1520:
1516:
1512:
1509:
1507:
1504:
1502:
1501:Harrow School
1499:
1496:
1495:
1492:
1489:
1487:
1484:
1482:
1479:
1477:
1474:
1471:
1470:
1466:
1463:
1460:
1458:
1455:
1452:
1451:
1447:
1444:
1441:
1439:
1436:
1433:
1432:
1428:
1425:
1422:
1419:
1416:
1415:
1412:
1409:
1402:
1396:
1393:
1390:
1388:
1385:
1383:
1380:
1378:
1375:
1372:
1370:
1367:
1364:
1362:
1359:
1357:
1354:
1352:
1349:
1348:
1345:
1342:
1339:
1337:
1334:
1331:
1329:
1326:
1324:
1320:
1317:
1315:
1312:
1309:
1307:
1304:
1302:
1299:
1297:
1294:
1293:
1290:
1287:
1285:
1282:
1280:
1277:
1275:
1272:
1270:
1267:
1265:
1262:
1260:
1257:
1255:(joint team)
1254:
1250:
1249:Harrow School
1247:
1245:
1242:
1240:
1237:
1235:
1232:
1231:
1227:
1224:
1221:
1218:
1215:
1213:
1210:
1208:
1205:
1202:
1200:
1197:
1195:
1192:
1190:
1187:
1186:
1183:
1176:
1173:
1171:Cross-Numbers
1170:
1167:
1166:
1165:
1162:
1155:
1153:
1151:
1147:
1146:leading zeros
1138:
1136:
1134:
1130:
1129:Oundle School
1126:
1122:
1118:
1111:
1103:
1097:
1093:
1090:
1088:
1084:
1083:Questions 1-5
1081:
1078:
1075:
1072:
1069:
1067:
1064:
1063:
1060:
1056:
1053:
1051:
1047:
1046:Questions 1-4
1044:
1041:
1038:
1036:
1032:
1030:
1027:
1026:
1023:
1019:
1016:
1014:
1010:
1009:Questions 1-6
1007:
1004:
999:
995:
993:
990:
989:
986:
982:
979:
977:
976:5 marks each
973:
970:
967:
964:
959:
955:
953:
950:
949:
946:
942:
939:
937:
936:
932:
928:
925:
922:
919:
916:
914:
910:
908:
905:
904:
901:Certificates
900:
897:
894:
891:
888:
885:
882:
879:
878:
872:
869:
865:
860:
858:
854:
842:
830:
825:
816:
815:
809:
807:
804:
795:
793:
791:
787:
783:
779:
775:
774:Pink Kangaroo
771:
770:Grey Kangaroo
766:
762:
758:
752:
744:
742:
740:
736:
732:
728:
724:
718:
716:
712:
708:
703:
701:
700:IMOK Olympiad
697:
689:
682:
680:
677:
676:
672:
670:
667:
666:
663:
659:
651:
647:
646:Questions 1-6
635:
633:
627:
624:
623:
619:
617:
616:Pink Kangaroo
614:
613:
610:
606:
601:
600:6 marks each
598:
596:
592:
591:5 marks each
588:
579:
577:
571:
570:Grey Kangaroo
568:
567:
564:
560:
555:
552:
550:
546:
543:
541:
537:
536:5 marks each
533:
530:
521:
519:
513:
510:
509:
506:Certificates
505:
502:
499:
496:
493:
490:
484:
483:
477:
473:
471:
467:
463:
459:
455:
451:
442:
440:
433:
431:
428:
426:
422:
418:
409:
403:
398:
395:
393:
390:
388:
384:
380:
377:
374:
371:
369:
365:
363:
360:
359:
356:
352:
349:
344:
340:
338:
335:
334:
331:
327:
324:
322:
321:6 marks each
319:
317:
313:
312:5 marks each
309:
297:
295:
291:
289:
286:
285:
282:Certificates
281:
278:
275:
272:
269:
266:
263:
260:
259:
253:
251:
247:
243:
239:
235:
226:
224:
220:
215:
211:
208:
204:
201:
197:
196:
195:
188:
183:
180:
177:
174:
171:
168:
167:
166:
160:
158:
155:
154:Tony Gardiner
146:
144:
142:
138:
134:
130:
126:
122:
113:
110:
106:
102:
98:
94:
90:
83:
77:
69:
66:
58:
55:November 2020
48:
44:
38:
37:
32:This article
30:
21:
20:
2819:Competitions
2807:
2800:
2793:
2786:
2779:
2772:
2765:
2621:
2476:
2468:
2464:
2458:
2450:
2446:
2440:
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123:(UKMT) is a
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41:Please help
33:
2862:Adams Prize
1423:Runners-up
298:Late April
139:within the
137:mathematics
2887:Categories
2697:Numbertime
1847:References
1073:September
898:Max Score
895:Questions
892:No. of Qs
880:Challenge
855:marks and
503:Max Score
500:Questions
497:No. of Qs
485:Challenge
279:Max Score
276:Questions
273:No. of Qs
261:Challenge
43:improve it
16:UK charity
2692:El Nombre
2662:Megamaths
2416:1 January
2391:1 January
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2165:1 January
2140:1 January
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2090:1 January
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2004:1 January
1979:1 January
1949:1 January
1921:1 January
1351:3rd Place
1296:2nd Place
1076:150 mins
1002:210 mins
962:November
889:Duration
715:Maclaurin
639:120 mins
522:February
494:Duration
372:120 mins
270:Duration
129:education
92:Formation
2759:Journals
2717:Sentinus
2597:Count On
2264:ukmt.org
1820:See also
1756:2019/20
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1698:2017/18
1673:2016/17
1643:2015/16
1613:2014/15
1588:2013/14
1556:2012/13
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1497:2010/11
1472:2009/10
1453:2008/09
1434:2007/08
1039:January
965:60 mins
920:90 mins
917:October
839:May 2019
778:Kangaroo
757:European
711:Hamilton
525:60 mins
301:60 mins
133:children
1810:Hungary
1420:Winner
1150:machine
829:updated
713:' and '
620:Y10/11
472:marks.
147:History
125:charity
108:Website
103:charity
100:Purpose
47:sources
2845:Awards
2774:Eureka
2607:HoDoMS
2270:8 July
1321:&
1251:&
1234:Winner
786:puzzle
782:keyfob
765:Europe
735:silver
731:bronze
707:Cayley
583:March
214:Bronze
207:Silver
1417:Year
1228:2019
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1177:Relay
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