IGCSE-math-数学试卷0580-s17-qp-32

Thisdocumentconsistsof15printedpagesand1blankpage.DC(RW/SW)130224/2©UCLES2017[TurnoverCambridgeInternationalExaminationsCambridgeInternationalGeneralCertificateofSecondaryEducation*4117273298*MATHEMATICS0580/32Paper3(Core)May/June20172hoursCandidatesanswerontheQuestionPaper.AdditionalMaterials:ElectroniccalculatorGeometricalinstrumentsTracingpaper(optional)READTHESEINSTRUCTIONSFIRSTWriteyourCentrenumber,candidatenumberandnameonalltheworkyouhandin.Writeindarkblueorblackpen.YoumayuseanHBpencilforanydiagramsorgraphs.Donotusestaples,paperclips,glueorcorrectionfluid.DONOTWRITEINANYBARCODES.Answerallquestions.Ifworkingisneededforanyquestionitmustbeshownbelowthatquestion.Electroniccalculatorsshouldbeused.Ifthedegreeofaccuracyisnotspecifiedinthequestion,andiftheanswerisnotexact,givetheanswertothreesignificantfigures.Giveanswersindegreestoonedecimalplace.Forr,useeitheryourcalculatorvalueor3.142.Attheendoftheexamination,fastenallyourworksecurelytogether.Thenumberofmarksisgiveninbrackets[]attheendofeachquestionorpartquestion.Thetotalofthemarksforthispaperis104.20580/32/M/J/17©UCLES20171Hereispartofthemenuinacafé.ItemPriceTea.......................$2.40Coffee..................$2.80Fruitjuice............$1.85Pizza....................$4.15Vegetablepasty...$3.60Chickencurry......$5.20Icecream.............$2.80Cake....................$3.25Yoghurt...............$1.40(a)Jennabuys3coffeesand2cakes.Workouthowmuchshespendsaltogether.$................................................[3](b)FindthemaximumnumberofpizzasHarrycanbuyfor$20.Workoutthechangehereceivesfroma$20note.Numberofpizzas=...................................................Change=$................................................[3](c)Priti’smealcosts$7.60.Shegivesthewaitress15%extraforservice.Workoutthetotalamountshepays.$................................................[2](d)ElenaandMariaarewaitressesinthecafé.Onedaytheyreceive$96forservice.Theysharethe$96intheratioElena:Maria=3:1.WorkouthowmuchElenareceives.$................................................[2]30580/32/M/J/17©UCLES2017[Turnover(e)Thecafé’sopeninghoursareshownbelow.DayOpeninghoursMondayCLOSEDTuesday1100to1500and1700to2200Wednesday1100to1500and1700to2200Thursday1100to1500and1700to2200Friday1100to1500and1700to2200Saturday1030to2300Sunday0930to2100(i)Findthenumberofhoursthecaféisopenduringoneweek.......................................hours[2](ii)Duringopeninghoursthecaféneeds3peopleonduty.Eachpersonworks36hoursinaweek.Findthenumberofpeoplethecaféneedsinaweek..................................................[3](f)Thecaféownerpaysrent.Themonthlyrentis$6.40foreachsquaremetreoffloorarea.Thefloorareais72.5m2.Calculatethetotalrentthecaféownerpaysinoneyear.$................................................[3]40580/32/M/J/17©UCLES20172(a)Simplify.aaa56+-.................................................[1](b)5f+2g3f–4gNOTTOSCALEWriteanexpressionfortheperimeteroftherectangle.Giveyouranswerinitssimplestform..................................................[3](c)(i)Workoutthevalueofxy510+whenx7=andy9=..................................................[2](ii)Workoutthevalueofrpr42-whenp3=andr5=..................................................[2](d)Solve.x53675-=^hx=................................................[3]50580/32/M/J/17©UCLES2017[Turnover(e)MrandMrsBarkerhavethreechildren,Molly,DeanandRaul.Age,intermsofxMolly’sageisxyearsxDeanis5yearsyoungerthanMollyx5-Raulis4yearsolderthanMollyMrBarkeris4timesolderthanMollyMrsBarkeris6yearsyoungerthanMrBarker(i)Completethetablewithexpressionsintermsofx.[2](ii)Thetotalofthefiveagesis125years.Writedownanequationintermsofxandshowthatitsimplifiestox117125-=.[1](iii)Solvetheequationx117125-=tofindMolly’sage.Molly’sage=......................................years[2]60580/32/M/J/17©UCLES20173(a)Thetableshowstheresultsofasurveyinavillage.Itshowsthenumberofmalesandfemaleswhoareleft-handed,right-handedorambidextrous.Left-handedRight-handedAmbidextrousTotalMale17584Female211023126Total381648210(i)Completethetablebyfindingthenumberofmalesinthesurveywhoareright-handed.[1](ii)Usingtheseresults,writedowntheprobabilitythat(a)amalechosenatrandomisleft-handed,.................................................[1](b)aleft-handedpersonchosenatrandomisfemale,.................................................[1](c)apersonchosenatrandomisright-handed..................................................[1](iii)Herearetheagesofthepeoplewhoareambidextrous.2779311660454252Findthemedianageofthesepeople..................................................[2](b)Thistableshowstheresultsofanothersurvey.Itshowsthenumberofpeopleineachof50households.NumberofpeopleFrequency15283124145764Workoutthemeannumberofpeopleineachhousehold..................................................[3]70580/32/M/J/17©UCLES2017[Turnover(c)Somestudentsinthevillageschoolweregivenamultiplicationtestandaspellingtest.Thescoresareshowninthetable.Spellingtestscore1416332226173625103055384248Multiplicationtestscore111519181521272135263423283100102