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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Topics covered in the set include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics, counting and probability, and more! An Art of Problem Solving book for UK Years 10-13 providing a much broader and deeper exploration of challenging mathematics than a typical curriculum.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Covers topics including: limits, continuity, differentiation, integration, power series, plane curves, and elementary differential equations. An Art of Problem Solving book for UK Years 10-13 providing a much broader and deeper exploration of challenging mathematics than a typical curriculum.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Precalculus covers trigonometry, complex numbers, vectors, and matrices. An Art of Problem Solving book for UK Years 10-13 providing a much broader and deeper exploration of challenging mathematics than a typical curriculum.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Topics covered in this book include inclusion-exclusion, 1-1 correspondences, the Pigeonhole Principle, constructive expectation, Fibonacci and Catalan numbers, recursion, conditional probability, generating functions, graph theory. An Art of Problem Solving book for UK Years 10-13 providing a much broader and deeper exploration of challenging mathematics than a typical curriculum.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Topics covered include a review of basic algebra topics, complex numbers, quadratics and conic sections, polynomials, multivariable expressions, sequences and series, identities, inequalities, exponents and logarithms, piecewise-defined functions, functional equations. An Art of Problem Solving book for UK Years 10-13 providing a much broader and deeper exploration of challenging mathematics than a typical curriculum.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Topics covered in this set include primes & composites, multiples & divisors, prime factorization and its uses, simple Diophantine equations, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense. For Years 7-11.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Topics covered in this set include similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations. For Years 7-11. An Art of Problem Solving book - each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which the necessary techniques are taught. Important facts and powerful problem-solving approaches are highlighted throughout the text.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Topics covered in this set include permutations, combinations, Pascal's Triangle, basic combinatorial identities, expected value, fundamentals of probability, geometric probability, the Binomial Theorem. For Years 7-11. An Art of Problem Solving book - each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which the necessary techniques are taught. Important facts and powerful problem-solving approaches are highlighted throughout the text.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Topics covered in this set include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series. For Years 7-11.

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Volume 2 is appropriate for students who have mastered the fundamentals presented in Volume 1 and are ready for a greater challenge. Suitable up to Year 13. (Volume 1 will be back in stock very soon.)

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A set consisting of an instructional text including problems to try, and a solutions book for the problems. Already successfully used by thousands of high-performing US high school pupils preparing for maths competitions and Olympiads. This volume is suitable for Year 7+ just starting out in maths competitions. Contains over 500 examples and exercises.

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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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This pdf containing the Junior Mathematical Olympiad past papers and solutions from 2007-2010 will be emailed to you within two working days of purchase. (There is also a hard copy booklet; this contains 2006-2009 papers.)

This pdf containing the Intermediate Mathematical Olympiad Maclaurin Past Papers and solutions from 2008, 2009 and 2010 will be emailed to you within two working days of purchase. Cayley and Hamilton pdfs are also available.

This pdf containing the Intermediate Mathematical Olympiad Hamilton Past Papers and solutions from 2008, 2009 and 2010 will be emailed to you within two working days of purchase. Cayley and Maclaurin pdfs are also available.

This pdf containing the Intermediate Mathematical Olympiad Cayley Past Papers and solutions from 2008, 2009 and 2010 will be emailed to you within two working days of purchase. Hamilton and Maclaurin pdfs are also available.

Published in December 2010, covering the 2009-10 academic year, this volume contains question papers and solutions from the three mass challenges and their follow-on rounds; material from the Team Maths Challenge; material from the Team Maths Challenge; details of the highest scorers and a review of the International Mathematical Olympiad.

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The UK Mathematics Trust Challenges are lively, intriguing multiple choice question papers, which are designed to stimulate interest in maths. This disc contains 825 questions from 1997-2008 covering the three levels of secondary school range 11-18. Together these competitions attract over 600,000 entries each year from over 4000 schools and colleges. This disc allows the questions to be searched on Challenge, topic and difficulty of the question and allows you to create your own question sheets from them. The minimum computer requirements to run Testbase UKMT are 256MB of RAM, a CD-Rom drive and Windows 98 or later (Vista and Windows 7 compatible). Testbase UKMT is not supported on Mac computers.

The UK Mathematics Trust Challenges are lively, intriguing multiple choice question papers, which are designed to stimulate interest in maths. The three levels cover the secondary school range 11-18 and together they attract over 600,000 entries each year from over 4000 schools and colleges. This disc allows the 825 questions used from 1997 - 2008 to be searched on Challenge, topic and difficulty of the question and allows you to create your own question sheets from them. Requires a PC platform. The minimum computer requirements to run Testbase UKMT are 256MB of RAM, a CD-Rom drive and Windows 98 or later (Vista and Windows 7 compatible). Testbase UKMT is not supported on Mac computers.

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.

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This booklet contains the BMO round 2 question papers for the years 2002-03 to 2007-08. It also contains the corresponding answers and solutions.

Order a set comprising 1 Senior Challenge, 1 Intermediate Challenge and 1 Junior Challenge booklet for the discounted price of £6. For individual booklets see below.

The Junior Challenge booklet contains five recent past papers which may be copied and used as a classroom resource. The booklet costs £2.50 or you can order a set of Senior, Intermediate and Junior booklets for just £6.

The Intermediate Challenge booklet contains five recent past papers which may be copied and used as a classroom resource. The booklet costs £2.50 or you can order a set of Senior, Intermediate and Junior booklets for just £6. In the run up to the challenge orders will be processed on the next working day.

This booklet contains four recent past papers. The papers and solutions may be copied and used as a classroom resource. The booklet costs £2.50 or you can order a set of Senior, Intermediate and Junior booklets for just £6.

Around 1,200 of the highest scorers in the Junior Challenge are invited to sit this paper each year. The booklet contains 4 past papers and solutions.

Around 500 students in each of the three year groups sitting the Intermediate Challenge are invited to sit the follow-on rounds Cayley, Hamilton and Maclaurin. Around another 1,700 from each year group are invited to sit the Grey or Pink Kangaroo which are taken across Europe. Booklets are produced annually in May containing all the papers and solutions from that year.

This is the follow-on round to the Senior Challenge and is sat by around 1,000 of the highest scorers. The booklet contains 4 year's papers and solutions.

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.

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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.

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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.

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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.

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Published in January 2010, covering the 2008-9 academic year, this volume contains question papers and solutions from the three mass challenges and their follow-on rounds; material from the Team Maths Challenge; material from the Team Maths Challenge; details of the highest scorers and a review of the International Mathematical Olympiad.

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