my revision notesPearson EdexcelINTERNATIONALGCSE (9-1)MATHEMATICSFOR SPECIFICATION ASophie GoldieSadhiv MahandruSeries editor:Jean LinskyHODDEREDUCATIONLEARN MOREmy revision notesPearson EdexcelINTERNATIONALGCSE (9-1)MATHEMATICSFOR SPECIFICATION ASophie GoldieSadhiv MahandruSeries editor:Jean LinskyHODDEREDUCATIONAN HACHETTE UK COMPANYThe Publishers would like to thank the following for permission to reproduce copyrightmaterial.AcknowledgementsEvery effort has been made to trace all copyright holders,but if any have beeninadvertently overlooked,the Publishers will be pleased to make the necessaryarrangements at the first opportunity.Although every effort has been made to ensure that website addresses are correct at timeof going to press,Hodder Education cannot be held responsible for the content of anywebsite mentioned in this book.It is sometimes possible to find a relocated web pageby typing in the address of the home page for a website in the URL window of yourbrowser.Hachette UK's policy is to use papers that are natural,renewable and recyclable productsand made from wood grown in sustainable forests.The logging and manufacturingprocesses are expected to conform to the environmental regulations of the country oforigin.Orders:please contact Bookpoint Ltd,130 Park Drive,Milton Park,Abingdon,OxonOX14 4SE.Telephone:(44)01235 827827.Fax:(44)01235 400401.Email education@bookpoint.co.uk.Lines are open from 9 a.m.to 5 p.m.,Monday to Saturday,witha 24-hour message answering service.You can also order through our website:www.hoddereducation.co.ukISBN:9781510446922Sophie Goldie and Sadhiv MahandruFirst published in 2019 byHodder Education,An Hachette UK CompanyCarmelite House50 Victoria EmbankmentLondon EC4Y ODZwww.hoddereducation.co.ukImpression number 10 9 8 7 6 5 4 3 2 1Year20232022202120202019All rights reserved.Apart from any use permitted under UK copyright law,no partof this publication may be reproduced or transmitted in any form or by any means,electronic or mechanical,including photocopying and recording,or held within anyinformation storage and retrieval system,without permission in writing from thepublisher or under licence from the Copyright Licensing Agency Limited.Furtherdetails of such licences (for reprographic reproduction)may be obtained from theCopyright Licensing Agency Limited,www.cla.co.ukCover photo Julia Sudnitskaya/123RF.COMTypeset in Integra Software Services Pvt.Ltd.,Pondicherry,IndiaPrinted in SpainA catalogue record for this title is available from the British Library.