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Senior Mathematical Challenge: The UK National Mathematics Contest 1988-1996 [Paperback]

Tony Gardiner
4.0 out of 5 stars  See all reviews (2 customer reviews)
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Book Description

18 April 2002 0521174651 978-0521174657
The latest addition to this popular series contains the National Mathematics Contest papers from 1988 to 1996, together with comments, hints and full solutions. Additional problems of a similar nature are included in the form of short multiple choice tests. Ideal for students aged 15-18, in class or for homework, and for students, teachers and parents either as practice material for the competition or a source of thought-provoking problems.

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Product details

  • Paperback: 186 pages
  • Publisher: Cambridge University Press (18 April 2002)
  • Language: English
  • ISBN-10: 0521174651
  • ISBN-13: 978-0521174657
  • ASIN: 0521665671
  • Product Dimensions: 22.4 x 15 x 1 cm
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Bestsellers Rank: 310,379 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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'What distinguishes the series from all the others is the zest and freshness of the text. Where the emphasis in other series is on plain and straightforward language, Cambridge English Reading texts typically use very modern expressions and the dialogue is faster moving. This has an impact on the quality of the audio cassettes, which make for very enjoyable listening.' David R. Hill, Survey Review: Readers, ELT Journal

Book Description

This book contains the 1988 – 1996 National Mathematics Contest papers with comments, hints and full solutions together with additional problems in a similar style An ideal resource for use with students aged 15-18 as practice material for the competition or a source of thought provoking problems.

Inside This Book (Learn More)
First Sentence
This book contains: (i) the 1988-96 question papers from the National Mathematics Contest (NMC); (ii) a collection of short (ten-question) problem papers in the same spirit; (iii) a listing of the multiple-choice answers to (i) and (ii); (iv) a section containing full written solutions to (i); (v) a list of other available resources for students aged 15-18. Read the first page
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Most Helpful Customer Reviews
2 of 2 people found the following review helpful
4.0 out of 5 stars Depends what you need it for 14 Feb 2010
This book does have a list of good problems. If you're trying to just experience some thought provoking problems which don't occur in the curriculum/syllabus then it's well worth it. If you're preparing for some competition or gaining knowledge, then i wouldn't reccomend it (unless you're really widening your repertoire). These problems are good but, as stated in the book, maths problems have a shelf life, many of these in the book have expired. A useful resource list for more material is extremely helpful though, in certain solutions it refers to these books and gives you a brief sentence of information regarding subjects, ie number theory, which does help massively. However, if you're completely dumbfounded by a problem, you may have to develop your thoughts when studying the solutions. But that may be unlikely due to the mathematical capability of people buying this book
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3 of 5 people found the following review helpful
4.0 out of 5 stars Multiple Choice Mathematical Puzzles 1 Jun 2002
The book has the National Mathematics Contest papers (for GCSE students) from 1988 to 1996, with solutions and comments.
A definite must for those who enjoy a wide variety of mathematical puzzles not needing a maths degree!
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Most Helpful Customer Reviews on (beta) 4.0 out of 5 stars  1 review
1 of 1 people found the following review helpful
4.0 out of 5 stars British mathematics competition problems for high school students. 22 Dec 2008
By N. F. Taussig - Published on
Senior Mathematical Challenge contains the British National Mathematical Contest papers from the years 1988 - 1996 and ten short problem papers consisting of ten problems apiece that are composed of problems that were considered, but not selected, for those contests. The problems, which draw upon algebra, geometry, number theory, sequences and series, trigonometry, estimation, probability, and mathematical puzzles, require the reader to use skills learned in General Comprehensive School Examination and A level classes in unexpected ways. They range in difficulty from fairly routine problems to those that require considerable ingenuity to solve. Working through this book is a great way to develop your problem solving skills.

Answers are provided for all the problems. However, full solutions are provided only for those problems that appeared in the actual contests. The lack of solutions to the short problem papers is the chief limitation of the book.

The tests are arranged in reverse chronological order. This is because the first three competitions consisted of 30 multiple-choice problems that were, on average, somewhat harder than those problems given in subsequent years. After 1990, the number of problems was reduced to 25 and some easier problems were introduced to make the test more accessible to typical A level students. All problems are meant to be done without a calculator. The test lasts 90 minutes. According to a problem in the 1995 competition, students receive 25 free points, earn four points for each correct answer, lose one point for each wrong answer, and no points if a problem is left unanswered. Thus, scores can range from 0 to 125.

The solutions are clearly written. In some cases, one or more alternate solutions are provided. The alternate solutions tend to employ more advanced techniques or clever insights. Also, in some solutions, references are given to books where one can explore a topic further.

The book also contains a list of resources. Among these resources are information about how to obtain problems from the American Mathematics Contest, Australian Mathematics Competition, Canadian Mathematics Competition, and Scottish Mathematical Challenge, and Mathematical Olympiad problems. There are also references for students to puzzle books, books about mathematics for the general reader, books that provide mathematical enrichment, and books about specific mathematical subjects that appear in the mathematics contests.

Readers who have not lived in Britain may encounter occasional difficulties with references to British culture ranging from the mix of English and metric units to the fact that coins come in 1 p, 2 p, 5 p, 10 p, 20 p, and 50 p denominations.

If you can handle these problems with ease, you may wish to consider working through the The Mathematical Olympiad Handbook: An introduction to problem solving based on the first 32 British Mathematical Olympiads 1965-1996 (Oxford Science Publications).
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