GregByrd,LynnByrdandChrisPearceCoursebookCambridgeCheckpointMathematics9cambridgeuniversitypressCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPaulo,Delhi,MexicoCityCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKwww.cambridge.orgInformationonthistitle:www.cambridge.org/9781107668010©CambridgeUniversityPress2013Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublished2013PrintedandboundintheUnitedKingdombytheMPGBooksGroupAcataloguerecordforthispublicationisavailablefromtheBritishLibraryISBN978-1-107-66801-0PaperbackCoverimage©CosmoCondinaconcepts/AlamyCambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyofURLsforexternalorthird-partyinternetwebsitesreferredtointhispublication,anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate.3ContentsIntroduction5Acknowledgements61Integers,powersandroots71.1Directednumbers81.2Squarerootsandcuberoots101.3Indices111.4Workingwithindices12End-of-unitreview142Sequencesandfunctions152.1Generatingsequences162.2Findingthenthterm182.3Findingtheinverseofafunction20End-of-unitreview223Placevalue,orderingandrounding233.1Multiplyinganddividingdecimalsmentally243.2Multiplyinganddividingbypowersof10263.3Rounding283.4Orderofoperations30End-of-unitreview324Length,mass,capacityandtime334.1Solvingproblemsinvolvingmeasurements344.2Solvingproblemsinvolvingaveragespeed364.3Usingcompoundmeasures38End-of-unitreview405Shapes415.1Regularpolygons425.2Morepolygons445.3Solvingangleproblems455.4Isometricdrawings485.5Plansandelevations505.6Symmetryinthree-dimensionalshapes52End-of-unitreview546Planningandcollectingdata556.1Identifyingdata566.2Typesofdata586.3Designingdata-collectionsheets596.4Collectingdata61End-of-unitreview637Fractions647.1Writingafractioninitssimplestform657.2Addingandsubtractingfractions667.3Multiplyingfractions687.4Dividingfractions707.5Workingwithfractionsmentally72End-of-unitreview748ConstructionsandPythagoras’theorem758.1Constructingperpendicularlines768.2Inscribingshapesincircles788.3UsingPythagoras’theorem81End-of-unitreview839Expressionsandformulae849.1Simplifyingalgebraicexpressions859.2Constructingalgebraicexpressions869.3Substitutingintoexpressions889.4Derivingandusingformulae899.5Factorising919.6Addingandsubtractingalgebraicfractions929.7Expandingtheproductoftwolinearexpressions94End-of-unitreview9610Processingandpresentingdata9710.1Calculatingstatistics9810.2Usingstatistics100End-of-unitreview1024Contents11Percentages10311.1Usingmentalmethods10411.2Comparingdifferentquantities10511.3Percentagechanges10611.4Practicalexamples107End-of-unitreview10912Tessellations,transformationsandloci11012.1Tessellatingshapes11112.2Solvingtransformationproblems11312.3Transformingshapes11612.4Enlargingshapes11912.5Drawingalocus121End-of-unitreview12313Equationsandinequalities12413.1Solvinglinearequations12513.2Solvingproblems12713.3Simultaneousequations112813.4Simultaneousequations212913.5Trialandimprovement13013.6Inequalities132End-of-unitreview13414Ratioandproportion13514.1Comparingandusingratios13614.2Solvingproblems138End-of-unitreview14015Area,perimeterandvolume14115.1Convertingunitsofareaandvolume14215.2Usingh...
