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SouthernCrossEcotourism&EducationLtdYear10EntranceExaminationName___________Year______Date_____________Score______/22Multiple-ChoiceQuestions:1.Ife=3andf=4,then2ef2equals___________A.48B.96C.288D.5762.If(x-3)÷(x+2)=0thenx=__________A.-3/2B.-2C.0D.33.Acaruses500mltotravel5.5km.Howmanyliterswouldthecarusetotravel218km?____A.19B.20C.21D.noofthese4.Aplaneflyingsouthturnedanti-clockwisethrough1350.Inwhatdirectionisitnowflying?_________A.NWB.SWC.NED.SE5.Inaclassof48students,36aregirls.Thenfractionofboysintheclassis___A.3/4B.1/4C.1/3D.2/36.Tinathinksofanumber,add3toit,andthensquaretheresult,Iget25.Theequationrepresentedbythisexpressionis_________A.n2+32=25B.n2+3=25C.n+32=25D.(n+3)2=252.Twoanglesinanisoscelestrianglemeasure400,whatisthesizeofthethirdangles?_____________thistypeofanglewecall__________3.Findtheunknownanglesx0belowA.B.C.x=______x=_______x=__________4.Rangipays10%ofthecostofa$120computergame,A.Howmuchdoeshepaid?_____________B.Therestofthemoneywillbepaidmonthlyandeachmonthwillbesameamounthehadpaid.Howmanymonthswillhepayoff?__________C.HedeliversNewspapertomakemoney,Hourlyrateis$6,howmanyhoursheneedsworktotallytopaytheleftamountofmoney?___________5.If100moffenceencloseasquareplotof625m2,howlargeasquarewill200moffenceenclose?_____________6.Thechefdrewabargraphtoshowwherethedinersinhisrestaurantcomefrom.WhatpercentagewasfromNewZealand?___________________%____7.Itwillcost$420tohireabuswith40seatersforatrip,wechargeeachadult$12andeachstudent$8foraseater.Wewanttoknowtheminimumnumberofadultsneededtocoverthecostofhiringthebus.Thesimultaneousequations:x+y=408x+12y=420a.Clearlyexplainwhattheterm8xrepresents.________________________________________________________b.Usethesimultaneousequationstofindtheminimumnumberofadultsneeded.(showallyourwork)8.Whenthrowing2dicetogether,theprobabilityofscoringatotalof4is:showyouwork:9.Workouttheco-ordinatesofthepointwhichliesonboththelinesy=x+1and3y=6-x.Drawthese2linesbelow.10.Howmanytrianglesarethereinthisfigure?_________