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This volume covers the 2011-12 academic year and contains question papers and solutions from the three mass challenges and their follow-on rounds; material from the Team Maths Challenge; material from the Senior Team Maths Challenge; lists of the highest scorers and a review of the International Mathematical Olympiad and UK Mathematical Olympiad for Girls. There is also information about the UKMT's mentoring schemes and publications. Covers the age range 11-18.
Yearbooks from previous years are available. Please email us for further details.
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The basic geometry of the triangle is widely known, but readers of this book will discover many more delights. The book is full of stimulating results and careful exposition, with plenty of exercises for the reader. For ages 16+.
This book is an informal guide to Intermediate Olympiads, not only for potential candidates, but for anyone wishing to tackle more challenging problems. The discussions of sample questions aim to show how to attack a problem which may be quite unlike anything seen before. Includes 10 years' IMOK Olympiad papers (Cayley, Hamilton, Maclaurin) and their solutions. For ages 13-16.
The prime numbers 2, 3, 5, 7, ... are the building blocks of our number system. Under certain conditions, any arithmetic progression of positive integers contains infinitely many primes, as proved by Gustave Dirichlet. For ages 16+.
This book seeks to provide a complete proof which is accessible to school students possessing post-16 mathematical knowledge. All the techniques needed are carefully developed and explained.
This volume covers the 2010-11 academic year and contains question papers and solutions from the three mass challenges and their follow-on rounds; material from the Team Maths Challenge; material from the Senior Team Maths Challenge; lists of the highest scorers and a review of the International Mathematical Olympiad and UK Mathematical Olympiad for Girls. There is also information about the UKMT's mentoring schemes and publications. Covers the age range 11-18.
Yearbooks from previous years are available. Please email us for further details.
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A Mathematical Olympiad Primer is an excellent guide for young mathematicians preparing for competitions, such as the British Mathematical Olympiad. The book contains theory including algebra, combinatorics and geometry, and BMO1 Problems and Solutions from 1996 onwards. This is the revised and expanded 2nd Edition. For ages 16+ Olympiad preparation.
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In the 19th century, the algebra of the plane was part of the armoury of every serious mathematician. In recent times the major fronts of research mathematics have moved elsewhere. However, those skills and methods are alive and well, and can be found in this book. The Algebra of Geometry deserves a place on the shelf of every enthusiast for Euclidean Geometry, amateur or professional, and is certainly valuable reading for students wishing to compete in senior Mathematical Olympiads. For age 16+ mathematicians.
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The aim of this 200 page book is to enable talented students to tackle the sort of problems on number theory which are set in mathematics competitions. Topics include primes and divisibility, congruence arithmetic and the representation of real numbers by decimals. A useful summary of techniques and hints is included. This is a fully revised and extended edition of a book which was initially published as part of the composite volume 'Introductions to Number Theory and Inequalities'.
The author is a former Oxford University lecturer and teacher at Clifton College, Bristol.
For ages 16+ competition preparation.
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The subject of inequalities provides a rich source of material for mathematics competitions and beyond. This accessible text aims to give the enthusiastic student plenty of tips on how to select the correct sort of inequality and how to apply it effectively to a given problem. It is a thoroughly revised and extended edition of a book initially published as part of the composite volume ‘Introductions to Number Theory and Inequalities’. The author is a former Oxford University lecturer and teacher at Clifton College, Bristol. For ages 16+ competition preparation.
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This book should appeal to anyone 16+ who enjoys solving the kind of challenging and attractive geometry problems that have virtually vanished from the school curriculum, but which still play a central role in national and international mathematics competitions. It is a treasure trove of wonderful geometrical problems, with hints for their solution.
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Crossing the Bridge provides a course on geometry for use in the classroom. It re-emphasises some traditional features of geometrical education and the bulk of the text is devoted to carefully constructed exercises, either for classroom discussion or individual study. For ages 13-16.
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Everything in this book is connected to the sequence of numbers: 2, 6, 20, 70, 252, 924, 3 432,.... Students and teachers alike may be astounded at the variety and depth of mathematical ideas it can lead to. Includes exercises and answers. For ages 16+.
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This 188-page book contains question papers and solutions for 9 Senior Challenges (1997-2005), 10 Intermediate Challenges (1997-2006) and 10 Junior Challenges (1997-2006). This book was published to celebrate the 10th Anniversary of the founding of UKMT. Covers the age range 11-18.
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This is a revised and improved 2nd Edition. The 210-page book seeks to make the subject of Euclidean geometry accessible to a larger group of younger mathematicians by cultivating mathematical thinking. The contents follow the development of Euclid and includes Pythagoras, trigonometry, circle theorems, Ceva and Menelaus, geometrical inequalities, and co-ordinate geometry.
For able and enthusiastic 16+ pupils.
Dr Christopher Bradley has helped for a number of years with training for the International Mathematical Olympiad, specialising in geometry. Dr Tony Gardiner has been active in promoting mathematics enrichment for many years through books, articles and meetings.
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