GregByrd,LynnByrdandChrisPearceCoursebookCambridgeCheckpointMathematics7UniversityPrintingHouse,CambridgeCB28BS,UnitedKingdomCambridgeUniversityPressispartoftheUniversityofCambridge.ItfurtherstheUniversity’smissionbydisseminatingknowledgeinthepursuitofeducation,learningandresearchatthehighestinternationallevelsofexcellence.www.cambridge.orgInformationonthistitle:www.cambridge.org/9781107641112©CambridgeUniversityPress2012Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublished2012PrintedinbyAcataloguerecordforthispublicationisavailablefromtheBritishLibraryISBN978-1-107-64111-2PaperbackCambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyofURLsforexternalorthird-partyinternetwebsitesreferredtointhispublication,anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate.Informationregardingprices,traveltimetablesandotherfactualinformationgiveninthisworkiscorrectatthetimeoffirstprintingbutCambridgeUniversityPressdoesnotguaranteetheaccuracyofsuchinformationthereafter.4thprinting2013IndiaReplikaPressPvt.Ltd3IntroductionWelcometoCambridgeCheckpointMathematicsstage7TheCambridgeCheckpointMathematicscoursecoverstheCambridgeSecondary1mathematicsframeworkandisdividedintothreestages:7,8and9.Thisbookcoversallyouneedtoknowforstage7.Therearetwomorebooksintheseriestocoverstages8and9.Togethertheywillgiveyouafirmfoundationinmathematics.Attheendoftheyear,yourteachermayaskyoutotakeaProgressiontesttofindouthowwellyouhavedone.Thisbookwillhelpyoutolearnhowtoapplyyourmathematicalknowledgetodowellinthetest.Thecurriculumispresentedinsixcontentareas:•Number•Measure•Geometry•Algebra•Handlingdata•Problemsolving.Thisbookhas19units,eachrelatedtooneofthefirstfivecontentareas.Problemsolvingisincludedinallunits.Therearenocleardividinglinesbetweenthefiveareasofmathematics;skillslearnedinoneunitareoftenusedinotherunits.Eachunitstartswithanintroduction,withkeywordslistedinabluebox.Thiswillprepareyouforwhatyouwilllearnintheunit.Attheendofeachunitisasummarybox,toremindyouwhatyou’velearned.Eachunitisdividedintoseveraltopics.Eachtopichasanintroductionexplainingthetopiccontent,usuallywithworkedexamples.Helpfulhintsaregiveninblueroundedboxes.Attheendofeachtopicthereisanexercise.Eachunitendswithareviewexercise.Thequestionsintheexercisesencourageyoutoapplyyourmathematicalknowledgeanddevelopyourunderstandingofthesubject.Aswellaslearningmathematicalskillsyouneedtolearnwhenandhowtousethem.Oneofthemostimportantmathematicalskillsyoumustlearnishowtosolveproblems.Whenyouseethissymbol,itmeansthatthequestionwillhelpyoutodevelopyourproblem-solvingskills.Duringyourcourse,youwilllearnalotoffacts,informationandtechniques.Youwillstarttothinklikeamathematician.Youwilldiscussideasandmethodswithotherstudentsaswellasyourteacher.Thesediscussionsareanimportantpartofdevelopingyourmathematicalskillsandunderstanding.Lookoutforthesestudents,whowillbeaskingquestions,makingsuggestionsandtakingpartintheactivitiesthroughouttheunits.HassanDakaraiShenXavierJakeAndersRaziSashaMahaMiaAliciaHarshaZalikaOditiTaneshaAhmad4ContentsIntroduction3Acknowledgements6Unit1Integers71.1Usingnegativenumbers81.2Addingandsubtractingnegativenumbers101.3M...
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