IGCSE Maths past paper数学考试题

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1、SurnameInitial(s)CentrePaperReferenceNo.SignatureCandidateNo.44003HExaminer’suseonlyPaperReference(s)4400/3HLondonExaminationsIGCSETeamLeader’suseonlyMathematicsPaper3HPageLeaveHigherTierNumbersBlank3Monday10May2004–Morning4Time:2hours56MaterialsrequiredforexaminationItemsincludedwithquest

2、ionpapersRulergraduatedincentimetresandNilmillimetres,protractor,compasses,7pen,HBpencil,eraser,calculator.Tracingpapermaybeused.89InstructionstoCandidates10Intheboxesabove,writeyourcentrenumberandcandidatenumber,yoursurname,initial(s)andsignature.11Thepaperreferenceisshownatthetopofthispa

3、ge.Checkthatyouhavethecorrectquestionpaper.AnswerALLthequestionsinthespacesprovidedinthisquestionpaper.12Showallthestepsinanycalculations.InformationforCandidates13Thereare20pagesinthisquestionpaper.Allblankpagesareindicated.Thetotalmarkforthispaperis100.Themarksforpartsofquestionsareshown

4、inroundbrackets:14e.g.(2).Youmayuseacalculator.15AdvicetoCandidatesWriteyouranswersneatlyandingoodEnglish.1617TotalPrinter’sLog.No.N20710RATurnover*N20710RA*W850/R4400/575704/4/4/1/3/1/3/1/3/1000ThispublicationmayonlybereproducedinaccordancewithLondonQualificationsLimitedcopyrightpolicy.©2

5、004LondonQualificationsLimited.IGCSEMATHEMATICS4400FORMULASHEET–HIGHERTIERPythagoras’1243Volumeofcone=3πrhVolumeofsphere=3πrTheoremCurvedsurfaceareaofcone=πrlSurfaceareaofsphere=4πr2cbrlaha2+b2=c2radj=hyp×cosθopp=hyp×sinθhypoppopp=adj×tanθInanytriangleABCθCadjopporsinθ=hypbaadjABcosθ=chypa

6、bcoppSinerule==tanθ=sinABCsinsinadjCosinerulea2=b2+c2–2bccosA1Areaoftriangle=2absinCcrosssectionlengthVolumeofprism=areaofcrosssection×lengthAreaofatrapezium=1(a+b)h2rCircumferenceofcircle=2πraAreaofcircle=πr2hbrTheQuadraticEquationVolumeofcylinder=πr2hThesolutionsofax2+bx+c=0wherea≠0,areg

7、ivenbyhCurvedsurfaceareaofcylinder=2πrh2−±bb−4acx=2aN20710RA2AnswerALLTWENTYquestions.LeaveblankWriteyouranswersinthespacesprovided.Youmustwritedownallstagesinyourworking.1.InJuly2002,thepopulationofEgyptwas69million.ByJuly2003,thepopulationofEgypthadincreased