OXFORDUNIVERSITY PRESSASPIRESUCCEEDPROGRESSComplete AdditionalMathematicsfor Cambridge IGCSE&O LevelFor theupdatedsyllabusTony BeadsworthOxford excellence for Cambridge IGCSE&O LevelOXFORDOXFORDUNIVERSITY PRESSGreat Clarendon Street,Oxford OX2 6DPOxford University Press is a department of the University of Oxford.registered trade mark of Oxford University Press in the UK and incertain other countriesThe moral rights of the author have been assertedDatabase right Oxford University Press(maker)All rights reserved.No part of this publication may be reproduced,stored in a retrieval system.or transmitted,in any form or by any means,without the prior permission in writing of Oxford University Press.or asexpressly permitted by law,or under terms agreed with the appropriateoutside the scope of the above should be sent to the Rights Department.Oxford University Press,at the address aboveYou must not circulate this book in any other binding or coverand you must impose this same condition on any acquirerBritish Library Cataloguing in Publication DataData available10987654321Printed in China by Golden CupThe publishers would like to thank Cambridge International Examinations for their kindpermission to reproduce past paper questions.Cambridge International Examinations bears noresponsibility for the example answers to questions taken from its past question papers whichare contained in this publication.The questions,example answers.marks awarded and comments that appear in this book werewritten by the author.In examination,the way marks would be awarded to answers like thesemay be different.AcknowledgementsThe publisher would like to thank the following for their permission to reproduce photographs:p2:bingdian/iStock:p26:VanderWolf Images Shutterstock:p43:hans engbers Shutterstock:p60:Aleksandar Todorovic/Shutterstock:p80:Malgorzata Gluc/Shutterstock:p92:Tim DraperGetty Images;p105:Sergey Dzyuba/Shutterstock:p119:VIEW Pictures Ltd(Alamy Stock Photo:p133:T photography/Shutterstock:p148:HildaWeges Photography Shutterstock:p173:PigproxShutterstock:p192:han871111/Shutterstock:p208:Elnur/Shutterstock:p231:Gunter NezhodaShutterstock:p258:Andrew TwortAlamy Stock Photo:p281:JRP StudioShutterstock:p303:Werner Dieterich/Alamy Stock Photo:p319:Allan Baxter Getty Images:p338:Jo Chambers/Shutterstock:p355:GuoZhongHua/Shutterstock:p379:Steve Allen Travel Photography AlamyStock Photo;p403:Josef Hanus ShutterstockCover image:Thanapol Pratueangpong/Dreamstime.comIntroductionAbout this bookThis book has been written to cover the Cambridge IGCSE*Additional Mathematics(0606)course and is fully aligned with the syllabus.The syllabus was designed for more able students at this level and it was intended that theyshould have already completed the 0580 syllabus or equivalent before starting this course.It is possible to teach the 0580 and 0606 courses in parallel,but this requires very carefuldesign of a scheme of work to ensure that students do not meet topics covered in this coursebefore they have completed preliminary work in 0580.An alternative is to teach more ablestudents the 0580 syllabus at a faster rate and then begin the 0606 course,covering it at thesame rate.At the start of each chapter there is a list of the objectives drawn from the 0606 syllabus thatare covered in the chapter.They are not all in syllabus order,rather they are selected to follow asuitable scheme of work which may allow some of the parallel teaching mentioned earlier.The book has been designed to assist teachers in preparing their students for the examination,and thus contains many worked examples and a host of rigorous exercises.The examples showthe important techniques required to tackle questions.Each chapter contains a summative exercise,a one-hour timed test,and in most cases,a setof past examination questions relevant to the topic,including questions which may involvematerial from previous chapters.The examination questions are taken from pre-2010 papers sothat the most recent papers can be used in a complete format by teachers for final revision.At the end of chapters 4,8,11,15,19 and 22 there is a timed exercise covering mixed topicsthat can be used as a term test.There are more of these terms tests available online at:www.oxfordsecondary.com/9780198376705Finally,to assist in preparing students for the final examination,there is a collection ofrevision tests and practice papers that can be used as required.Practice paper 1 can be foundat the end of this book;the remaining practice papers and all revision tests are also availableonline at:www.oxfordsecondary.com/9780198376705About the authorTony Beadsworth has graduated from four universities,three in the UK plus MakerereUniversity,Kampala,Uganda.He has taught Mathematics at O-level,IGCSE,A-level(including Further Mathematics)at a range of secondary,tertiary and Sixth Form institutionsin East Africa,the UK and Malaysia for over 50 years.He has also been a tutor-counsellorfor the UK's Open University,tutoring first and second year university students,and has hadextensive experience in examining.Currently semi-retired and living in Kuala Lumpur,hespends his time teaching,writing,and helping Malaysian students prepare for entrance toUK universities.