Haese Mathematicsspecialists in mathematics publishingMathematics(0607)Extendedsecond editionMichael HaeseMark HumphriesNgoc VoCAMBRIDGE IGCSE INTERNATIONAL MATHEMATICS (0607)EXTENDEDsecond editionMichael HaeseB.Sc.(Hons.).Ph.D.Mark HumphriesB.Sc.(Hons.)Ngoc VoB.Ma.ScPublished by Haese Mathematics152 Richmond Road,Marleston,SA 5033,AUSTRALIATelephone:+61882104666,Fax:+61883541238Email:info@haesemathematics.com.auWeb:www.haesemathematics.com.auNational Library of Australia Card Number ISBN 978-1-925489-65-1Haese Harris Publications 2018First Edition2009Reprinted2010,2011,2012,2014,2015(wice,2016,2017Second Edition2018Cartoon artwork by John Martin.Artwork by Brian Houston,Bronson Mathews,and Charlotte Frost.Computer software by Yi-Tung Huang,Huda Kharrufa,Brett Laishley,Bronson Mathews,Linden May,Joshua Douglass-Molloy,Jonathan Petrinolis,and Nicole Szymanczyk.Production work by Sandra Haese,Bradley Steventon,Nicholas Kellett-Southby,andCashmere Collins-McBride.Typeset in Australia by Deanne Gallasch and Charlotte Frost.Typeset in Times Roman 10.Printed in China by Prolong Press Limited.This book is copyright.Except as permitted by the Copyright Act(any fair dealing for the purposes of privatestudy,research,criticism or review),no part ofthis publication may be reproduced,stored in a retrieval system,ortransmitted in any form or by any means,electronic,mechanical,photocopying,recording or otherwise,withoutthe prior permission ofthe publisher.Enquiries to be made to Haese Mathematics.Copying for educational purposes:Where copies of part or the whole of the book are made under Part VBof the Copyright Act,the law requires that the educational institution or the body that administers it has givena remuneration notice to Copyright Agency Limited(CAL).For information,contact the Copyright AgencyLimited.Acknowledgements:The authors and publishers would like to thank Cambridge Assessment InternationalEducation for their assistance and support in the preparation of this book.Questions from past exam papers arereproduced by permission of Cambridge Assessment International Education.Cambridge AssessmentInternational Education bears no responsibility for the example answers to questions taken from its past questionpapers which are contained in this publication.The example answers to past exam questions were written by theauthors.Maps that have been provided by OpenStreetMap are available freely at www.openstreetmap.org.Licensingterms can be viewed at www.openstreetmap.org/copyright.While every attempt has been made to trace and acknowledge copyright,the authors and publishers apologise forany accidental infringement where copyright has proved untraceable.They would be pleased to come to asuitable agreement with the rightful owner.Disclaimer:All the internet addresses (URLs)given in this book were valid at the time of printing.While theauthors and publisher regret any inconvenience that changes of address may cause readers,no responsibilityfor any such changes can be accepted by either the authors or the publisher.FOREWORDThis book has been written to cover the 'Cambridge IGCSETM International Mathematics (0607)Extendedsyllabus for examination from 2020.The course springs from the principles that students should develop a good foundation of mathematical skillsand that they should learn to develop strategies for solving open-ended problems.It aims to promote apositive attitude towards Mathematics and a confidence that leads to further enquiry.References to the syllabus are made throughout but the book can be used as a full course in its own right,as apreparation for GCE Advanced Level Mathematics or IB Diploma Mathematics,for example.The book hasbeen endorsed by Cambridge Assessment International Education.The textbook and interactive online features provide an engaging and structured package,allowing studentsto explore and develop their confidence in mathematics.The material is presented ih a clear,easy-to-followstyle,free from unnecessary distractions,while effort has been made to contextualise questions so thatstudents can relate concepts to everyday use.In this second edition,many of the chapters have beenreordered and restructured,allowing for a more logical progression of ideas and difficulty.Seven chapters of'assumed knowledge'are accessible online for those who want to ensure that they have theprerequisite levels of understanding for the course.To reflect one of the main aims of the course,the last twochapters in the book are devoted to multi-topic questions,and investigations and modelling.Review exercisesappear at the end of each chapter,and answers are given at the end of the book.The accompanying digital book is accessed through our Snowflake platform.It containsSelf Tutor software (see p.5),geometry and graphics software,demonstrations and simulations,and theassumed knowledge chapters.The digital book is a complete copy of the text of the book,so students canview it on a home computer or tablet and keep the textbook at school.The Cambridge International Mathematics examinations are in the form of three papers:one a non-calculatorpaper,another requiring the use of a graphics calculator,and a third paper containing an investigation and amodelling question.This book supports all three papers.The book can be used as a scheme of work but it is expected that the teacher will choose the order of topics.Exercises in the book range from routine practice and consolidation of basic skills,to problem solvingexercises that are quite demandingIn this changing world of mathematics education,we believe that the contextual approach shown in thisbook,with the associated use of technology,will enhance the students'understanding,knowledge andappreciation of mathematics,and its universal application.We welcome your feedback.Email:info@haesemathematics.com.auWeb:www.haesemathematics.com.auPMH.MH.NV