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United Kingdom Mathematics Trust

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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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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
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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,
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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
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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
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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
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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
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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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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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Mathematical Association from 1975 until its adoption by the UKMT in 1996. The Junior and Intermediate Mathematical Challenges were the initiative of
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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.)
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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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point penalty for an incorrectly answered question. Questions to which no answer is entered will gain (and lose)
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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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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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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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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
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National Centre for Excellence in the Teaching of Mathematics
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International Mathematics Competition for University Students
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questions are designed to be easier, and a pupil will gain
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Invitation from good SMC performance (usually top 1,000),
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Invitation from good IMC performance (usually top 1,500),
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Science, Technology, Engineering and Mathematics Network
2418:"Mathematical Olympiad for Girls | UK Mathematics Trust" 2343:"Andrew Jobbings Senior Kangaroo | UK Mathematics Trust" 2192:"Maclaurin Mathematical Olympiad | UK Mathematics Trust" 2271:"Week-long residential events for young mathematicians" 2167:"Hamilton Mathematical Olympiad | UK Mathematics Trust" 53: 2598:
British Society for Research into Learning Mathematics
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Top 25% of candidates receive a Certificate of Merit.
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Top 25% of candidates receive a Certificate of Merit.
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Discretionary entry at a fee (first 4 entries free).
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Scotland: S6 or below Northern Ireland: Y14 or below
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Scotland: S4 or below Northern Ireland: Y12 or below
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may contain excessive or inappropriate references to
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Good performance (at least Gold certificate) in JMC
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Scotland: S2 or below Northern Ireland: Y9 or below
2855: 2829: 2769: 2736: 2575: 942:4 marks each / penalty of 1 if wrong answer chosen 565:6 marks each / penalty of 2 if wrong answer chosen 556:6 marks each / penalty of 1 if wrong answer chosen 118: 110: 102: 213:award is achieved by the top 8-9% of the entrants. 2530:Intermediate Mathematical Challenge Sample Paper 1134:are subsequently invited to a training camp at 783:is sat by students in year 9 and below and the 2583:International Centre for Mathematical Sciences 669:Separately awarded for each Olympiad's cohort: 616:Separately awarded for each Kangaroo's cohort: 2623:Institute of Mathematics and its Applications 2555: 434:marks. Blank or incorrect answers are marked 8: 2515:British Mathematical Olympiad Committee site 377:Around top 1,200 performers in JMC invited. 220:award is achieved by 16-17% of the entrants. 90: 2919:Mathematics education in the United Kingdom 2813:Philosophy of Mathematics Education Journal 2588:Advisory Committee on Mathematics Education 1040:British Mathematical Olympiad Round 2(BMO2) 1003:British Mathematical Olympiad Round 1(BMO1) 2761:University of Liverpool Mathematics School 2756:Lancaster University School of Mathematics 2562: 2548: 2540: 2535:Senior Mathematical Challenge Sample Paper 2525:Junior Mathematical Challenge Sample Paper 954:Top 66% of candidates in ratio 3:2:1 get: 884: 705:To prevent this getting confused with the 572:Top 50% of candidates in ratio 3:2:1 get: 489: 339:Top 50% of candidates in ratio 3:2:1 get: 265: 89: 2904:1996 establishments in the United Kingdom 1492:King Edward VI Grammar School, Chelmsford 1312:Queen Elizabeth's Grammar School for Boys 922:England Wales and Overseas: Y13 or below 527:England Wales and Overseas: Y11 or below 438:; there is no penalty for wrong answers. 227:award is achieved by 25% of the entrants. 76:Learn how and when to remove this message 2751:King's College London Mathematics School 2510:United Kingdom Mathematics Trust website 1981:"Junior Kangaroo | UK Mathematics Trust" 1424: 1195: 523:Intermediate Mathematical Challenge(IMC) 491:Summary of UKMT Intermediate Challenges 410:Top 25% get Certificate of Distinction. 303:England Wales and Overseas: Y8 or below 1863: 2842:British Mathematical Olympiad Subtrust 2593:Association of Teachers of Mathematics 2444:British Mathematical Olympiad Subtrust 2117:"Pink Kangaroo | UK Mathematics Trust" 2092:"Grey Kangaroo | UK Mathematics Trust" 1809:British Mathematical Olympiad Subtrust 1801:British Mathematical Olympiad Subtrust 1794:British Mathematical Olympiad Subtrust 2668:Mathematics in Education and Industry 2603:Council for the Mathematical Sciences 2294: 2292: 56:by removing references to unreliable 7: 1975: 1973: 1971: 1945: 1943: 1917: 1915: 1913: 1502:King Edward VI High School for Girls 1077:Mathematical Olympiad for Girls(MOG) 795:containing a different mathematical 430:marks, and for Questions 16-25 earn 379:Discretionary entry also available. 354:OR discretionary entry at some fee. 60:where they are used inappropriately. 2713:Oxford University Invariant Society 1847:International Mathematical Olympiad 1144:International Mathematical Olympiad 1044:Roughly top 100 scorers from BMO1, 946:All participants start on 25 points 875:International Mathematical Olympiad 807:National Mathematics Summer Schools 709:, this is often abbreviated to the 707:International Mathematical Olympiad 454:Intermediate Mathematical Challenge 187:Intermediate Mathematical Challenge 2909:Competitions in the United Kingdom 2277:. United Kingdom Mathematics Trust 2240:Intermediate Mathematical Olympiad 2222:Intermediate Mathematical Olympiad 1817:UK Mathematical Olympiad for Girls 918:Senior Mathematical Challenge(SMC) 886:Summary of UKMT Senior Challenges 772:Australian Mathematics Competition 701:Intermediate Mathematical Olympiad 364:Top 25% get Certificate of Merit. 299:Junior Mathematical Challenge(JMC) 267:Summary of UKMT Junior Challenges 25: 2663:Mathematics and Computing College 2570:Mathematics in the United Kingdom 1046:OR discretionary entry at a fee. 969:OR discretionary entry at a fee. 643:OR discretionary entry at a fee. 587:OR discretionary entry at a fee. 138:founded in 1996 to help with the 2633:United Kingdom Mathematics Trust 2476:United Kingdom Mathematics Trust 2458:United Kingdom Mathematics Trust 2326:United Kingdom Mathematics Trust 2254:United Kingdom Mathematics Trust 2236:United Kingdom Mathematics Trust 2218:United Kingdom Mathematics Trust 2050:United Kingdom Mathematics Trust 2032:United Kingdom Mathematics Trust 1901:United Kingdom Mathematics Trust 1887:United Kingdom Mathematics Trust 1873:United Kingdom Mathematics Trust 1325:King Edward's School, Birmingham 985:(answer a number from 1 to 999) 829: 801:The puzzles along with solutions 132:United Kingdom Mathematics Trust 97:United Kingdom Mathematics Trust 34: 1811:is run by UKMT, which runs the 1703:Royal Grammar School, Newcastle 1561:Royal Grammar School, Newcastle 1517:Colchester Royal Grammar School 1380:Magdalen College School, Oxford 1334:Colchester Royal Grammar School 1317:Magdalen College School, Oxford 1250:Magdalen College School, Oxford 690:Maclaurin Mathematical Olympiad 2678:Millennium Mathematics Project 2613:Edinburgh Mathematical Society 1536:North London Collegiate School 680:Hamilton Mathematical Olympiad 1: 2837:British Mathematical Olympiad 1842:British Mathematical Olympiad 1813:British Mathematical Olympiad 1121:British Mathematical Olympiad 1115:British Mathematical Olympiad 879:British Mathematical Olympiad 821:Senior Mathematical Challenge 238:Junior Mathematical Challenge 193:Senior Mathematical Challenge 181:Junior Mathematical Challenge 2799:Glasgow Mathematical Journal 2036:Junior Mathematical Olympiad 1449:Torquay Boys' Grammar School 1422:Previous winners are below: 637:Cayley Mathematical Olympiad 445:Junior Mathematical Olympiad 373:Junior Mathematical Olympiad 2648:London Mathematical Society 1618:The Grammar School at Leeds 1613:Rainham Mark Grammar School 1593:The Grammar School at Leeds 1440:Poster Competition winners 1142:for the first stage of the 2935: 2718:School Mathematics Project 2698:National Numeracy Strategy 2638:Joint Mathematical Council 2576:Organizations and Projects 1825:Trinity College, Cambridge 1136:Trinity College, Cambridge 1118: 862:correct answer is awarded 817:in-person events by 2022. 812:designed to go beyond the 759: 2878:Thomas Bond Sprague Prize 2847:National Cipher Challenge 2746:Exeter Mathematics School 1799:For more information see 1393:St Olave's Grammar School 1388:University College School 1290:St Olave's Grammar School 1012: 972: 838:This section needs to be 667: 664: 655: 652: 649: 640: 614: 596: 593: 584: 568: 538: 535: 526: 498: 467:marks, with a penalty of 357: 317: 314: 311: 195:(UK year 13/S6 and below) 189:(UK year 11/S4 and below) 95: 2914:Mathematics competitions 2806:The Mathematical Gazette 2658:Mathematical Association 2653:Making Mathematics Count 2643:Kent Mathematics Project 2482:, Thursday 19 April 2012 2464:, Thursday 19 April 2012 2446:, Thursday 19 April 2012 2332:, Thursday 19 April 2012 2260:, Thursday 19 April 2012 2242:, Thursday 19 April 2012 2056:, Thursday 19 April 2012 2038:, Thursday 19 April 2012 1907:, Thursday 19 April 2012 1875:, Thursday 19 April 2012 1522:Merchant Taylors' School 1406:Westminster Under School 1398:Westminster Under School 1295:Westminster Under School 1285:Westminster Under School 1280:Westminster Under School 183:(UK year 8/S2 and below) 123:https://www.ukmt.org.uk/ 2863:Chartered Mathematician 1693:Magdalen College School 1584:Magdalen College School 1255:St Paul's Girls' School 1096:(answer with solution) 1059:(answer with solution) 1022:(answer with solution) 659:(answer with solution) 400:(answer with solution) 172:Mathematical Challenges 2778:Compositio Mathematica 2628:Isaac Newton Institute 2224:, Saturday 26 May 2012 2054:Intermediate Challenge 956:Bronze, Silver, Gold. 574:Bronze, Silver, Gold. 392:(correct answer only) 341:Bronze, Silver, Gold. 47:self-published sources 2258:Intermediate Kangaroo 1889:, Tuesday 10 May 2022 1576:City of London School 1414:Senior Team Challenge 1372:City of London School 1275:City of London School 1270:City of London School 1175:There are 4 rounds: 2883:Rollo Davidson Prize 2792:Forum of Mathematics 1927:UK Mathematics Trust 1823:, an Easter camp at 1723:King Edward's School 1658:King Edward's School 1648:Dunblane High School 1636:King Edward's School 18:UK Mathematics Trust 1146:UK team selection. 887: 492: 268: 92: 2493:"Home | AMSP" 1781:Winchester College 1771:Westminster School 1742:Westminster School 1666:Westminster School 1571:Westminster School 1487:Westminster School 1468:Westminster School 885: 490: 475:marks, but with a 266: 168:one organisation. 2891: 2890: 2693:National Numeracy 1837:European Kangaroo 1791: 1790: 1786:Bancroft’s School 1698:Headington School 1556:Headington School 1551:Dean Close School 1411: 1410: 1339:Bancroft's School 1300:Bancroft's School 1264:Orley Farm School 1112: 1111: 859: 858: 762:European Kangaroo 756:European Kangaroo 748:for Hamilton and 698: 697: 418: 417: 128: 127: 86: 85: 78: 16:(Redirected from 2926: 2683:More Maths Grads 2564: 2557: 2550: 2541: 2497: 2496: 2489: 2483: 2471: 2465: 2453: 2447: 2439: 2433: 2432: 2430: 2428: 2414: 2408: 2407: 2405: 2403: 2389: 2383: 2382: 2380: 2378: 2364: 2358: 2357: 2355: 2353: 2339: 2333: 2330:Senior Challenge 2321: 2315: 2314: 2312: 2310: 2296: 2287: 2286: 2284: 2282: 2267: 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2422:www.ukmt.org.uk 2416: 2415: 2411: 2401: 2399: 2397:www.ukmt.org.uk 2391: 2390: 2386: 2376: 2374: 2372:www.ukmt.org.uk 2366: 2365: 2361: 2351: 2349: 2347:www.ukmt.org.uk 2341: 2340: 2336: 2322: 2318: 2308: 2306: 2304:www.ukmt.org.uk 2298: 2297: 2290: 2280: 2278: 2269: 2268: 2264: 2250: 2246: 2232: 2228: 2214: 2210: 2200: 2198: 2196:www.ukmt.org.uk 2190: 2189: 2185: 2175: 2173: 2171:www.ukmt.org.uk 2165: 2164: 2160: 2150: 2148: 2146:www.ukmt.org.uk 2140: 2139: 2135: 2125: 2123: 2121:www.ukmt.org.uk 2115: 2114: 2110: 2100: 2098: 2096:www.ukmt.org.uk 2090: 2089: 2085: 2075: 2073: 2071:www.ukmt.org.uk 2065: 2064: 2060: 2046: 2042: 2028: 2024: 2014: 2012: 2010:www.ukmt.org.uk 2004: 2003: 1999: 1989: 1987: 1985:www.ukmt.org.uk 1979: 1978: 1969: 1959: 1957: 1955:www.ukmt.org.uk 1949: 1948: 1941: 1931: 1929: 1921: 1920: 1911: 1897: 1893: 1883: 1879: 1869: 1865: 1860: 1833: 1815:as well as the 1796: 1755:Concord College 1678:Backwell School 1530:Concord College 1526:Abingdon School 1497:Abingdon School 1478:No competition 1459:No competition 1416: 1367:Clifton College 1347:The Judd School 1179:Group Questions 1169: 1152: 1150:Senior Kangaroo 1123: 1117: 963:Senior Kangaroo 940:(multi-choice) 855: 849: 846: 843: 834: 830: 823: 809: 791:also receive a 764: 758: 752:for Maclaurin. 703: 608:(multi-choice) 606:Questions 16-25 600:(multi-choice) 562:(multi-choice) 560:Questions 21-25 553:(multi-choice) 551:Questions 16-20 545:(multi-choice) 456: 447: 423: 421:Junior Kangaroo 398:Questions 11-16 348:Junior Kangaroo 329:(multi-choice) 327:Questions 16-25 321:(multi-choice) 240: 202: 174: 160: 98: 82: 71: 65: 62: 51: 39: 35: 28: 23: 22: 15: 12: 11: 5: 2932: 2930: 2922: 2921: 2916: 2911: 2906: 2896: 2895: 2889: 2888: 2886: 2885: 2880: 2875: 2870: 2865: 2859: 2857: 2853: 2852: 2850: 2849: 2844: 2839: 2833: 2831: 2827: 2826: 2824: 2823: 2816: 2809: 2802: 2795: 2788: 2781: 2773: 2771: 2767: 2766: 2764: 2763: 2758: 2753: 2748: 2742: 2740: 2734: 2733: 2731: 2730: 2725: 2720: 2715: 2710: 2705: 2700: 2695: 2690: 2685: 2680: 2675: 2670: 2665: 2660: 2655: 2650: 2645: 2640: 2635: 2630: 2625: 2620: 2615: 2610: 2605: 2600: 2595: 2590: 2585: 2579: 2577: 2573: 2572: 2569: 2567: 2566: 2559: 2552: 2544: 2538: 2537: 2532: 2527: 2522: 2517: 2512: 2505: 2504:External links 2502: 2499: 2498: 2484: 2466: 2448: 2434: 2409: 2384: 2359: 2334: 2316: 2288: 2262: 2244: 2226: 2208: 2183: 2158: 2133: 2108: 2083: 2058: 2040: 2022: 1997: 1967: 1939: 1909: 1891: 1877: 1862: 1861: 1859: 1856: 1855: 1854: 1849: 1844: 1839: 1832: 1829: 1795: 1792: 1789: 1788: 1783: 1778: 1773: 1768: 1764: 1763: 1758: 1757:(two-way tie) 1748: 1745: 1744:(two-way tie) 1735: 1731: 1730: 1725: 1720: 1715: 1710: 1706: 1705: 1700: 1695: 1690: 1685: 1681: 1680: 1675: 1672: 1669: 1655: 1651: 1650: 1645: 1642: 1639: 1628:Hampton School 1625: 1621: 1620: 1615: 1610: 1605: 1603:Hampton School 1600: 1596: 1595: 1590: 1587: 1573: 1568: 1564: 1563: 1558: 1553: 1548: 1543: 1539: 1538: 1533: 1519: 1514: 1509: 1505: 1504: 1499: 1494: 1489: 1484: 1480: 1479: 1476: 1473: 1470: 1465: 1461: 1460: 1457: 1454: 1451: 1446: 1442: 1441: 1438: 1435: 1432: 1429: 1415: 1412: 1409: 1408: 1403: 1400: 1395: 1390: 1385: 1382: 1377: 1374: 1369: 1364: 1358: 1357: 1352: 1349: 1344: 1341: 1336: 1330:Reading School 1327: 1322: 1319: 1314: 1309: 1303: 1302: 1297: 1292: 1287: 1282: 1277: 1272: 1267: 1257: 1252: 1247: 1241: 1240: 1237: 1234: 1231: 1228: 1225: 1220: 1215: 1212: 1207: 1202: 1190: 1189: 1186: 1183: 1180: 1168: 1167:Team Challenge 1165: 1151: 1148: 1119:Main article: 1116: 1113: 1110: 1109: 1103: 1100: 1091: 1088: 1085: 1082: 1079: 1073: 1072: 1066: 1063: 1054: 1051: 1048: 1042: 1036: 1035: 1029: 1026: 1017: 1014: 1011: 1005: 999: 998: 992: 989: 983:Questions 1-20 980: 977: 974: 971: 965: 959: 958: 952: 949: 938:Questions 1-25 935: 932: 929: 926: 920: 914: 913: 910: 907: 904: 901: 898: 895: 892: 857: 856: 837: 835: 828: 822: 819: 808: 805: 760:Main article: 757: 754: 702: 699: 696: 695: 692: 686: 685: 682: 676: 675: 666: 663: 654: 651: 648: 645: 639: 633: 632: 629: 623: 622: 613: 598:Questions 1-15 595: 592: 589: 583: 577: 576: 570: 567: 543:Questions 1-15 540: 537: 534: 531: 525: 519: 518: 515: 512: 509: 506: 503: 500: 497: 455: 452: 446: 443: 422: 419: 416: 415: 408: 405: 390:Questions 1-10 387: 384: 381: 375: 369: 368: 362: 359: 356: 350: 344: 343: 337: 334: 319:Questions 1-15 316: 313: 310: 307: 301: 295: 294: 291: 288: 285: 282: 279: 276: 273: 239: 236: 229: 228: 221: 214: 201: 198: 197: 196: 190: 184: 173: 170: 159: 156: 126: 125: 120: 116: 115: 112: 108: 107: 104: 100: 99: 96: 84: 83: 42: 40: 33: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 2931: 2920: 2917: 2915: 2912: 2910: 2907: 2905: 2902: 2901: 2899: 2884: 2881: 2879: 2876: 2874: 2871: 2869: 2868:Smith's Prize 2866: 2864: 2861: 2860: 2858: 2854: 2848: 2845: 2843: 2840: 2838: 2835: 2834: 2832: 2828: 2822: 2821: 2820:Plus Magazine 2817: 2815: 2814: 2810: 2808: 2807: 2803: 2801: 2800: 2796: 2794: 2793: 2789: 2787: 2786: 2782: 2780: 2779: 2775: 2774: 2772: 2768: 2762: 2759: 2757: 2754: 2752: 2749: 2747: 2744: 2743: 2741: 2739: 2738:Maths schools 2735: 2729: 2726: 2724: 2721: 2719: 2716: 2714: 2711: 2709: 2706: 2704: 2701: 2699: 2696: 2694: 2691: 2689: 2686: 2684: 2681: 2679: 2676: 2674: 2671: 2669: 2666: 2664: 2661: 2659: 2656: 2654: 2651: 2649: 2646: 2644: 2641: 2639: 2636: 2634: 2631: 2629: 2626: 2624: 2621: 2619: 2616: 2614: 2611: 2609: 2606: 2604: 2601: 2599: 2596: 2594: 2591: 2589: 2586: 2584: 2581: 2580: 2578: 2574: 2565: 2560: 2558: 2553: 2551: 2546: 2545: 2542: 2536: 2533: 2531: 2528: 2526: 2523: 2521: 2518: 2516: 2513: 2511: 2508: 2507: 2503: 2494: 2488: 2485: 2481: 2477: 2474: 2470: 2467: 2463: 2459: 2456: 2452: 2449: 2445: 2442: 2438: 2435: 2423: 2419: 2413: 2410: 2398: 2394: 2388: 2385: 2373: 2369: 2363: 2360: 2348: 2344: 2338: 2335: 2331: 2327: 2324: 2320: 2317: 2305: 2301: 2295: 2293: 2289: 2276: 2272: 2266: 2263: 2259: 2255: 2252: 2248: 2245: 2241: 2237: 2234: 2230: 2227: 2223: 2219: 2216: 2212: 2209: 2197: 2193: 2187: 2184: 2172: 2168: 2162: 2159: 2147: 2143: 2137: 2134: 2122: 2118: 2112: 2109: 2097: 2093: 2087: 2084: 2072: 2068: 2062: 2059: 2055: 2051: 2048: 2044: 2041: 2037: 2033: 2030: 2026: 2023: 2011: 2007: 2001: 1998: 1986: 1982: 1976: 1974: 1972: 1968: 1956: 1952: 1946: 1944: 1940: 1928: 1924: 1918: 1916: 1914: 1910: 1906: 1902: 1899: 1895: 1892: 1888: 1885: 1881: 1878: 1874: 1871: 1867: 1864: 1857: 1853: 1850: 1848: 1845: 1843: 1840: 1838: 1835: 1834: 1830: 1828: 1826: 1822: 1818: 1814: 1810: 1805: 1804: 1802: 1793: 1787: 1784: 1782: 1779: 1777: 1776:Ruthin School 1774: 1772: 1769: 1766: 1765: 1762: 1759: 1756: 1752: 1751:Ruthin School 1749: 1746: 1743: 1739: 1738:Durham School 1736: 1733: 1732: 1729: 1726: 1724: 1721: 1719: 1718:Tapton School 1716: 1714: 1713:Ruthin School 1711: 1708: 1707: 1704: 1701: 1699: 1696: 1694: 1691: 1689: 1688:Ruthin School 1686: 1683: 1682: 1679: 1676: 1673: 1670: 1667: 1663: 1662:Ruthin School 1659: 1656: 1653: 1652: 1649: 1646: 1643: 1640: 1637: 1633: 1632:Harrow School 1629: 1626: 1623: 1622: 1619: 1616: 1614: 1611: 1609: 1608:Alton College 1606: 1604: 1601: 1598: 1597: 1594: 1591: 1588: 1585: 1581: 1577: 1574: 1572: 1569: 1566: 1565: 1562: 1559: 1557: 1554: 1552: 1549: 1547: 1546:Alton College 1544: 1541: 1540: 1537: 1534: 1531: 1527: 1523: 1520: 1518: 1515: 1513: 1512:Harrow School 1510: 1507: 1506: 1503: 1500: 1498: 1495: 1493: 1490: 1488: 1485: 1482: 1481: 1477: 1474: 1471: 1469: 1466: 1463: 1462: 1458: 1455: 1452: 1450: 1447: 1444: 1443: 1439: 1436: 1433: 1430: 1427: 1426: 1423: 1420: 1413: 1407: 1404: 1401: 1399: 1396: 1394: 1391: 1389: 1386: 1383: 1381: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1359: 1356: 1353: 1350: 1348: 1345: 1342: 1340: 1337: 1335: 1331: 1328: 1326: 1323: 1320: 1318: 1315: 1313: 1310: 1308: 1305: 1304: 1301: 1298: 1296: 1293: 1291: 1288: 1286: 1283: 1281: 1278: 1276: 1273: 1271: 1268: 1266:(joint team) 1265: 1261: 1260:Harrow School 1258: 1256: 1253: 1251: 1248: 1246: 1243: 1242: 1238: 1235: 1232: 1229: 1226: 1224: 1221: 1219: 1216: 1213: 1211: 1208: 1206: 1203: 1201: 1198: 1197: 1194: 1187: 1184: 1182:Cross-Numbers 1181: 1178: 1177: 1176: 1173: 1166: 1164: 1162: 1158: 1157:leading zeros 1149: 1147: 1145: 1141: 1140:Oundle School 1137: 1133: 1129: 1122: 1114: 1108: 1104: 1101: 1099: 1095: 1094:Questions 1-5 1092: 1089: 1086: 1083: 1080: 1078: 1075: 1074: 1071: 1067: 1064: 1062: 1058: 1057:Questions 1-4 1055: 1052: 1049: 1047: 1043: 1041: 1038: 1037: 1034: 1030: 1027: 1025: 1021: 1020:Questions 1-6 1018: 1015: 1010: 1006: 1004: 1001: 1000: 997: 993: 990: 988: 987:5 marks each 984: 981: 978: 975: 970: 966: 964: 961: 960: 957: 953: 950: 948: 947: 943: 939: 936: 933: 930: 927: 925: 921: 919: 916: 915: 912:Certificates 911: 908: 905: 902: 899: 896: 893: 890: 889: 883: 880: 876: 871: 869: 865: 853: 841: 836: 827: 826: 820: 818: 815: 806: 804: 802: 798: 794: 790: 786: 785:Pink Kangaroo 782: 781:Grey Kangaroo 777: 773: 769: 763: 755: 753: 751: 747: 743: 739: 735: 729: 727: 723: 719: 714: 712: 711:IMOK Olympiad 708: 700: 693: 691: 688: 687: 683: 681: 678: 677: 674: 670: 662: 658: 657:Questions 1-6 646: 644: 638: 635: 634: 630: 628: 627:Pink Kangaroo 625: 624: 621: 617: 612: 611:6 marks each 609: 607: 603: 602:5 marks each 599: 590: 588: 582: 581:Grey Kangaroo 579: 578: 575: 571: 566: 563: 561: 557: 554: 552: 548: 547:5 marks each 544: 541: 532: 530: 524: 521: 520: 517:Certificates 516: 513: 510: 507: 504: 501: 495: 494: 488: 484: 482: 478: 474: 470: 466: 462: 453: 451: 444: 442: 439: 437: 433: 429: 420: 414: 409: 406: 404: 401: 399: 395: 391: 388: 385: 382: 380: 376: 374: 371: 370: 367: 363: 360: 355: 351: 349: 346: 345: 342: 338: 335: 333: 332:6 marks each 330: 328: 324: 323:5 marks each 320: 308: 306: 302: 300: 297: 296: 293:Certificates 292: 289: 286: 283: 280: 277: 274: 271: 270: 264: 262: 258: 254: 250: 246: 237: 235: 231: 226: 222: 219: 215: 212: 208: 207: 206: 199: 194: 191: 188: 185: 182: 179: 178: 177: 171: 169: 166: 165:Tony Gardiner 157: 155: 153: 149: 145: 141: 137: 133: 124: 121: 117: 113: 109: 105: 101: 94: 88: 80: 77: 69: 66:November 2020 59: 55: 49: 48: 43:This article 41: 32: 31: 19: 2830:Competitions 2818: 2811: 2804: 2797: 2790: 2783: 2776: 2632: 2487: 2479: 2475: 2469: 2461: 2457: 2451: 2443: 2437: 2425:. Retrieved 2421: 2412: 2400:. Retrieved 2396: 2387: 2375:. Retrieved 2371: 2362: 2350:. Retrieved 2346: 2337: 2329: 2325: 2319: 2307:. Retrieved 2303: 2279:. Retrieved 2274: 2265: 2257: 2253: 2247: 2239: 2235: 2229: 2221: 2217: 2211: 2199:. Retrieved 2195: 2186: 2174:. Retrieved 2170: 2161: 2149:. Retrieved 2145: 2136: 2124:. Retrieved 2120: 2111: 2099:. Retrieved 2095: 2086: 2074:. Retrieved 2070: 2061: 2053: 2049: 2043: 2035: 2031: 2025: 2013:. Retrieved 2009: 2000: 1988:. Retrieved 1984: 1958:. Retrieved 1954: 1930:. Retrieved 1926: 1923:"Challenges" 1904: 1900: 1894: 1886: 1880: 1872: 1866: 1808: 1806: 1798: 1797: 1580:Eton College 1437:Third place 1421: 1417: 1361: 1355:Eton College 1306: 1244: 1222: 1217: 1209: 1204: 1199: 1191: 1174: 1170: 1153: 1132:second round 1124: 1106: 1097: 1093: 1076: 1069: 1060: 1056: 1045: 1039: 1032: 1023: 1019: 1008: 1002: 995: 986: 982: 968: 962: 955: 945: 944: 941: 937: 923: 917: 894:Eligibility 872: 867: 863: 860: 847: 839: 810: 799:each year. ( 788: 784: 780: 765: 744:for Cayley, 730: 715: 710: 704: 689: 679: 672: 668: 660: 656: 647:Y9 or below 642: 636: 626: 619: 615: 610: 605: 604: 601: 597: 591:Y9 or below 586: 580: 573: 564: 559: 558: 555: 550: 549: 546: 542: 528: 522: 499:Eligibility 485: 480: 476: 472: 468: 464: 460: 457: 448: 440: 435: 431: 427: 424: 411: 402: 397: 396: 394:1 mark each 393: 389: 378: 372: 365: 353: 347: 340: 331: 326: 325: 322: 318: 304: 298: 275:Eligibility 260: 256: 252: 248: 244: 241: 232: 230: 224: 217: 210: 203: 200:Certificates 192: 186: 180: 175: 161: 134:(UKMT) is a 131: 129: 87: 72: 63: 52:Please help 44: 2873:Adams Prize 1434:Runners-up 309:Late April 150:within the 148:mathematics 2898:Categories 2708:Numbertime 1858:References 1084:September 909:Max Score 906:Questions 903:No. of Qs 891:Challenge 866:marks and 514:Max Score 511:Questions 508:No. of Qs 496:Challenge 290:Max Score 287:Questions 284:No. of Qs 272:Challenge 54:improve it 27:UK charity 2703:El Nombre 2673:Megamaths 2427:1 January 2402:1 January 2377:1 January 2352:1 January 2309:1 January 2201:1 January 2176:1 January 2151:1 January 2126:1 January 2101:1 January 2076:1 January 2015:1 January 1990:1 January 1960:1 January 1932:1 January 1362:3rd Place 1307:2nd Place 1087:150 mins 1013:210 mins 973:November 900:Duration 726:Maclaurin 650:120 mins 533:February 505:Duration 383:120 mins 281:Duration 140:education 103:Formation 2770:Journals 2728:Sentinus 2608:Count On 2275:ukmt.org 1831:See also 1767:2019/20 1734:2018/19 1709:2017/18 1684:2016/17 1654:2015/16 1624:2014/15 1599:2013/14 1567:2012/13 1542:2011/12 1508:2010/11 1483:2009/10 1464:2008/09 1445:2007/08 1050:January 976:60 mins 931:90 mins 928:October 850:May 2019 789:Kangaroo 768:European 722:Hamilton 536:60 mins 312:60 mins 144:children 1821:Hungary 1431:Winner 1161:machine 840:updated 724:' and ' 631:Y10/11 483:marks. 158:History 136:charity 119:Website 114:charity 111:Purpose 58:sources 2856:Awards 2785:Eureka 2618:HoDoMS 2281:8 July 1332:& 1262:& 1245:Winner 797:puzzle 793:keyfob 776:Europe 746:silver 742:bronze 718:Cayley 594:March 225:Bronze 218:Silver 1428:Year 1239:2019 1236:2018 1233:2017 1230:2016 1227:2015 1214:2012 1188:Relay 897:When 738:medal 502:When 278:When 2429:2023 2404:2023 2379:2023 2354:2023 2311:2023 2283:2022 2203:2023 2178:2023 2153:2023 2128:2023 2103:2023 2078:2023 2017:2023 1992:2023 1962:2023 1934:2023 1807:The 1223:2014 1218:2013 1210:2011 1205:2010 1200:Year 1128:BMO2 991:100 951:125 814:GCSE 766:The 750:gold 734:book 720:', ' 694:Y11 684:Y10 569:135 361:135 336:135 223:The 216:The 211:Gold 209:The 130:The 106:1996 91:UKMT 1138:or 1102:50 1065:40 1028:60 979:20 934:25 665:60 539:25 407:70 386:16 315:25 146:in 142:of 2900:: 2478:, 2460:, 2420:. 2395:. 2370:. 2345:. 2328:, 2302:. 2291:^ 2273:. 2256:, 2238:, 2220:, 2194:. 2169:. 2144:. 2119:. 2094:. 2069:. 2052:, 2034:, 2008:. 1983:. 1970:^ 1953:. 1942:^ 1925:. 1912:^ 1903:, 1747:- 1674:- 1671:- 1664:/ 1660:/ 1644:- 1641:- 1589:- 1582:/ 1578:/ 1528:/ 1524:/ 1475:? 1472:? 1456:? 1453:? 1402:- 1384:- 1376:? 1351:- 1343:- 1321:? 1090:5 1053:4 1016:6 803:) 740:; 653:6 154:. 152:UK 2563:e 2556:t 2549:v 2495:. 2431:. 2406:. 2381:. 2356:. 2313:. 2285:. 2205:. 2180:. 2155:. 2130:. 2105:. 2080:. 2019:. 1994:. 1964:. 1936:. 1803:. 1753:/ 1740:/ 1634:/ 1630:/ 1155:( 868:1 864:4 852:) 848:( 842:. 481:0 477:2 473:6 469:1 465:6 461:5 436:0 432:6 428:5 261:0 257:0 253:6 249:6 245:5 79:) 73:( 68:) 64:( 50:. 20:)

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