GregByrd,LynnByrdandChrisPearceCoursebookCambridgeCheckpointMathematics8cambridgeuniversitypressCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPaulo,Delhi,MexicoCityCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKwww.cambridge.orgInformationonthistitle:www.cambridge.org/9781107697874©CambridgeUniversityPress2013Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublished2013Reprinted2013PrintedintheUnitedKingdombyLatimerTrendAcataloguerecordforthispublicationisavailablefromtheBritishLibraryISBN978-1-107-69787-4PaperbackCoverimage©CosmoCondinaconcepts/AlamyCambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyofURLsforexternalorthird-partyinternetwebsitesreferredtointhispublication,anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate.3IntroductionWelcometoCambridgeCheckpointMathematicsstage8TheCambridgeCheckpointMathematicscoursecoverstheCambridgeSecondary1mathematicsframeworkandisdividedintothreestages:7,8and9.Thisbookcoversallyouneedtoknowforstage8.Therearetwomorebooksintheseriestocoverstages7and9.Togethertheywillgiveyouafirmfoundationinmathematics.Attheendoftheyear,yourteachermayaskyoutotakeaProgressiontesttofindouthowwellyouhavedone.Thisbookwillhelpyoutolearnhowtoapplyyourmathematicalknowledgeandtodowellinthetest.Thecurriculumispresentedinsixcontentareas:��Number�����������Geometry��Algebra����������������������������������Thisbookhas18units,eachrelatedtooneofthefirstfivecontentareas.Problemsolvingisincludedinallunits.Therearenocleardividinglinesbetweenthefiveareasofmathematics;skillslearnedinoneunitareoftenusedinotherunits.Eachunitstartswithanintroduction,withkeywordslistedinabluebox.Thiswillprepareyouforwhatyouwilllearnintheunit.Attheendofeachunitisasummarybox,toremindyouwhatyou’velearned.Eachunitisdividedintoseveraltopics.Eachtopichasanintroductionexplainingthetopiccontent,������������������������������������������������������������������������������������������������������thereisanexercise.Eachunitendswithareviewexercise.Thequestionsintheexercisesencourageyoutoapplyyourmathematicalknowledgeanddevelopyourunderstandingofthesubject.Aswellaslearningmathematicalskillsyouneedtolearnwhenandhowtousethem.Oneofthemostimportantmathematicalskillsyoumustlearnishowtosolveproblems.Whenyouseethissymbol,itmeansthatthequestionwillhelpyoutodevelopyourproblem-solvingskills.Duringyourcourse,youwilllearnalotoffacts,informationandtechniques.Youwillstarttothinklikeamathematician.Youwilldiscussideasandmethodswithotherstudentsaswellasyourteacher.Thesediscussionsareanimportantpartofdevelopingyourmathematicalskillsandunderstanding.Lookoutforthesestudents,whowillbeaskingquestions,makingsuggestionsandtakingpartintheactivitiesthroughouttheunits.HassanDakaraiShenXavierJakeAndersRaziSashaMahaMiaAliciaHarshaZalikaOditiTaneshaAhmad4ContentsIntroduction3Acknowledgements6Unit1Integers,powersandroots71.1Arithmeticwithintegers81.2Multiples,factorsandprimes111.3Moreaboutprimenumbers131.4Powersandroots15End-of-unitreview17Uni...
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