Alevel 数学Mathematics

ThispublicationmaybereproducedonlyinaccordancewithEdexcelLimitedcopyrightpolicy.©2007EdexcelLimited.Printer’sLog.No.N24576AW850/R4400/575704/4/3/1000PaperReference(s)4400/1FLondonExaminationsIGCSEMathematicsPaper1FFoundationTierMonday5November2007–AfternoonTime:2hoursMaterialsrequiredforexaminationItemsincludedwithquestionpapersRulergraduatedincentimetresandNilmillimetres,protractor,compasses,pen,HBpencil,eraser,calculator.Tracingpapermaybeused.InstructionstoCandidatesIntheboxesabove,writeyourcentrenumber,candidatenumber,yoursurname,initial(s)andsignature.Checkthatyouhavethecorrectquestionpaper.AnswerALLthequestions.Writeyouranswersinthespacesprovidedinthisquestionpaper.YoumustNOTwriteontheformulaepage.AnythingyouwriteontheformulaepagewillgainNOcredit.Ifyouneedmorespacetocompleteyouranswertoanyquestion,useadditionalanswersheets.InformationforCandidatesThemarksforindividualquestionsandthepartsofquestionsareshowninroundbrackets:e.g.(2).Thereare22questionsinthisquestionpaper.Thetotalmarkforthispaperis100.Thereare24pagesinthisquestionpaper.Anyblankpagesareindicated.Youmayuseacalculator.AdvicetoCandidatesWriteyouranswersneatlyandingoodEnglish.TurnoverExaminer’suseonlyTeamLeader’suseonlySurnameInitial(s)Signature*N24576A0124*CentreNo.CandidateNo.2*N24576A0224*IGCSEMATHEMATICS4400FORMULASHEET–FOUNDATIONTIERPythagoras’Theorema2+b2=c2Volumeofcylinder=Sr2hCurvedsurfaceareaofcylinder=2Srhadj=hypucosTopp=hypusinTopp=adjutanToroanadjTadjcoshypToppsinhypTCircumferenceofcircle=2SrAreaofcircle=Sr2Volumeofprism=areaofcrosssectionu�lengthAreaofatrapezium=(a+b)h12baoppadjhypbahlengthsectioncrossrhrcTLeaveblank3Turnover*N24576A0324*AnswerALLTWENTYTWOquestions.Writeyouranswersinthespacesprovided.Youmustwritedownallstagesinyourworking.1.2123242527Writedownanumberfromtheboxwhichis(a)anevennumber..........................(1)(b)amultipleof9..........................(1)(c)afactorof46..........................(1)(d)asquarenumber..........................(1)(e)acubenumber..........................(1)(f)aprimenumber..........................(1)Q1(Total6marks)Leaveblank4*N24576A0424*2.(a)Completethisshapetoshowakite.(2)(b)Hereisaparallelogram.(i)Howmanylinesofsymmetrydoesthisparallelogramhave?..........................(ii)Whatistheorderofrotationalsymmetryofthisparallelogram?..........................(2)Q2(Total4marks)Leaveblank5Turnover*N24576A0524*3.(a)Whatfractionofthisshapeisshaded?..........................(1)(b)Shade34ofthisshape.(1)(c)Write34asapercentage........................%(1)Q3(Total3marks)Leaveblank6*N24576A0624*4.Thebarchartshowsthepercentageoftheworld’scarbondioxideemissionsproducedbyeachofsixregionsin2001.(a)WritedownthepercentageforJapan........................%(1)(b)WritedownthepercentagefortheUSA........................%(1)(c)Whichregion’spercentagewas6%?................................................................(1)(d)Whichregion’spercentagewasabout4timesthepercentageforAfrica?................................................................(2)Percentage(%)oftheworld’scarbondioxideemissions302520151050USAWesternEuropeChinaRussiaJapanIndiaAfricaRegionLeaveblank7Turnover*N24576A0724*(e)China’spercentagewas13%.Drawabaronthebarcharttoshowthisinformation.(1)Herearesomeforecastsfor2010.Theworld’scarbondioxideemissions30000milliontonnesPercentageforIndia4.6%(f)Workout4.6%of30000milliontonnes.........................................milliontonnes(2)Q4(Total8marks)Leaveblank8*N24576A0824*5.A=5x+7yWorkoutthevalueofAwhenx=2andy=3A=...................6.Oisthecentreofthecircle.Writedownthemathematicalnamefor(i)thelineAB,..........................(ii)theshadedregion...........................Q6(Total2marks)Q5(Total2marks)AOBLeaveblank9Turnover*N24576A0924*7.Herearethelengths,incentimetres,ofsixworms.4.74.75.76.38.09.6(a)Findthemode......................cm(1)(b)Findthemedian......................cm(2)(c)Oneofthesixwormsistakenatrandom.Findtheprobabilitythatthelengthofthiswormis(i)5.7cm,..........................(ii)morethan7cm...........................(3)Q7(Total6marks)Leaveblank10*N24576A01024*8.(a)Theruleforasequenceis(i)Workoutthetermwhenthetermnumberis10..........................(ii)Findthetermnumberwhenthetermis65..........................(3)(b)Writedownthenexttwotermsinthissequence.24221812..........................,..........................(2)Term=2×Termnumber+5Q8(Total5marks)Leaveblank11Turnover*N24576A01124*9.DVDscost£16each.CDscost£12each.(a)Workoutthetotalcostof5DVDsand7CDs.£.........................................(2)(b)WritedownanexpressionforthetotalcostofxDVDsandyCDs.£.........................................(2)10.(a)(i)Find55.Writedownallthefiguresonyourcalculatordisplay............................................(ii)Writeyouranswertopart(a)(i)correctto3decimalplaces..................................(2)(b)(i)Find4.33Writedownallthefiguresonyourcalculatordisplay............................................(ii)Writeyouranswertopart(b)(i)correctto2significantfigures..................................(2)Q10(Total4marks)Q9(Total4marks)Leaveblank12*N24576A01224*11.Atankisacuboidwithbase2.5mby1.2m.Theheightofthetankis80cm.(a)(i)Convert80cmtometres........................m(1)(ii)Workoutthevolume,inm3,ofthetank.......................m3(2)(b)Thereis2.1m3ofoilinthetank.Thedepthofoilisdmetres.Calculatethevalueofd.d=...................(2)Q11(Total5marks)DiagramNOTaccuratelydrawn80cm1.2m2.5mDiagramNOTaccuratelydrawn1.2m2.5mdLeaveblank13Turnover*N24576A01324*12.Carhirecosts£45forthefirst200km.Fordistancesover200km,thereisanextracostof£0.50perkm.(a)Ravihiredacaranddrove350km.Calculatehistotalcost.£........................(3)(b)Cherylhiredacar.Hertotalcostwas£140WorkoutthedistanceCheryldrove......................km(4)Q12(Total7marks)Leaveblank14*N24576A01424*13.Solve(a)3x+4=19x=....................(2)(b)5(y+4)=35y=....................(3)Q13(Total5marks)Leaveblank15Turnover*N24576A01524*14.Thediagramshowsaregular5-sidedpolygon,withcentreO.Workoutthevalueof(a)x,x=....................(3)(b)y.y=....................(2)Q14(Total5marks)DiagramNOTaccuratelydrawnOx°y°Leaveblank16*N24576A01624*15.Thetableshowsinformationaboutthescoresinagame.ScoreFrequency15283344Workoutthemeanscore...........................Q15(Total3marks)Leaveblank17Turnover*N24576A01724*16.Atrianglehastwoequalsidesoflength2xcmandonesideoflengthxcm.(a)Writedownthemathematicalnameofthistriangle.............................................(1)(b)Theperimeterofthistriangleis12cm.(i)Usethisinformationtowritedownanequationinx............................................................................(ii)Solveyourequationtofindthevalueofx.x=....................(3)Q16(Total4marks)DiagramNOTaccuratelydrawn2xcm2xcmxcmLeaveblank18*N24576A01824*17.160ofthestudentsinDentonCollegeareinYear1120ofthestudentsinDentonCollegeareinYear2(a)Writetheratio160:120initssimplestform...........................(2)(b)ThetotalnumberofstudentsinDentonCollegeis280Express160asapercentageof280Giveyouranswercorrectto2significantfigures........................%(2)Q17(Total4marks)Leaveblank19Turnover*N24576A01924*18.(a)Calculatetheareaofacircleofradius2m.Giveyouranswercorrectto3significantfigures.......................m2(2)(b)Acircularpondhasaradiusof2m.Thereisapathofwidth1maroundthepond.Calculatetheareaofthepath.Giveyouranswercorrectto3significantfigures.......................m2(2)(c)Calculatetheoutercircumferenceofthepath.Giveyouranswercorrectto3significantfigures........................m(2)Q18(Total6marks)DiagramNOTaccuratelydrawn1m2mLeaveblank20*N24576A02024*19.Calculatethevalueofa.Giveyouranswercorrectto3significantfigures.a=....................20.(a)A={1,2,3,4}B={2,4,6,8}WritedownthemembersofA∪B......................................................(2)(b)ℰ={Positiveintegerslessthan10}P={3,4,5,6,7,8}P∩Q=ØWritedownallthepossiblemembersofQ......................................................(2)Q20(Total4marks)Q19(Total3marks)DiagramNOTaccuratelydrawn2.5cm7.1cma°Leaveblank21Turnover*N24576A02124*Q21(Total3marks)21.Jimfiresanarrowatatarget.Thetableshowsallthepossibleoutcomesandtheprobabilitiesofthreeoftheseoutcomes.ResultProbabilityBull’sEyeInnerRing0.3OuterRing0.4Miss0.2WorkouttheprobabilitythatJim’sarrowwillhiteithertheBull’sEyeortheInnerRing...........................Leaveblank22*N24576A02224*Q22(Total7marks)22.(a)Simplifywww372×..........................(2)(b)Solvetheequation1773−=xx=....................(3)(c)Solvetheinequality4y–5<6..........................(2)TOTALFORPAPER:100MARKSEND23*N24576A02324*BLANKPAGE24*N24576A02424*BLANKPAGE