加拿大数学十年级(高一)省考模拟试题A

Contents:31pagesExamination:2hours54multiple-choicequestions(maximumof54marks)AdditionalTimePermitted:60minutes6numeric-responsequestions(maximumof6marks)©ProvinceofBritishColumbiaFoundationsofMathematicsandPre-Calculus10ExaminationBooklet2010–2011SampleADONOTOPENANYEXAMINATIONMATERIALSUNTILINSTRUCTEDTODOSO.ExaminationInstructions1.OnyourAnswerSheet,fillinthebubble(FormA,B,C,D,E,F,GorH)thatcorrespondstotheletteronthisExaminationBooklet.2.Youmayrequireaprotractorandaruler(metricandimperial).3.Youmayusemathtiles.4.Whenusingyourcalculator(scientificorapprovedgraphingcalculator):•usetheprogrammedvalueofπratherthantheapproximationof3.14.•roundonlyinthefinalstepofthesolution.5.Diagramsarenotnecessarilydrawntoscale.6.Whentheexaminationbegins,removethedatapageslocatedinthecentreofthisbooklet.7.ReadtheExaminationRulesonthebackofthisbooklet.FoundationsofMathematicsandPre-Calculus10–2010–2011SampleAPage1PARTA:MULTIPLE-CHOICEQUESTIONS(calculatornotpermitted)SuggestedTime:30minutesValue:12marksAllowableTime:40minutesINSTRUCTIONS:Nocalculatormaybeusedforthispartoftheexamination.Foreachquestion,selectthebestanswerandrecordyourchoiceontheblueAnswerSheetprovided.UsinganHBpencil,completelyfillinthebubblethathasthelettercorrespondingtoyouranswer.Youhaveamaximumof40minutestoworkonthissection.YouhaveExaminationBookletFormA.Intheboxabove#1onyourAnswerSheet,fillinthebubbleasfollows.FABCDEHGExamBookletForm/Cahierd’examen1.Whichgraphrepresentstherelationx−5y+10=0?A.yx55–5–5–10–101010B.yx55–5–5–10–101010C.yx55–5–5–10–101010D.yx55–5–5–10–101010Page2FoundationsofMathematicsandPre-Calculus10–2010–2011SampleAUsethefollowinggraphtoanswerquestion2.yx55–5–5–10–1010102.Whichofthefollowingequationsdescribesthelinearrelationgraphedabove?I.y=43x+4II.y−8=−43x+3()III.4x+3y−12=0A.IIonlyB.IandIIonlyC.IandIIIonlyD.IIandIIIonly3.Determinetheequationofaline,inslope-interceptform,thatpassesthroughthepoints6,1()and−10,9().A.y=−12x+4B.y=−12x−2C.y=−2x+8D.y=−2x+13FoundationsofMathematicsandPre-Calculus10–2010–2011SampleAPage34.Solveforyinthefollowingsystemofequations:x−y=−13x+5y=21A.2B.3C.9D.125.ThecostC,indollars,ofrentingahallforthepromisgivenbytheformulaCn()=500+4n,wherenisthenumberofstudentsattendingtheprom.Calculatethecostofrentingthehallif70studentsattend.A.$108B.$500C.$780D.$9706.Whichofthefollowingstatementsaretrue?I.4=2since2×2=4II.8=4since4+4=8III.273=3since3×3×3=27IV.813=9since9×9=81A.IandIIIonlyB.IandIVonlyC.IIandIIIonlyD.IIandIVonlyPage4FoundationsofMathematicsandPre-Calculus10–2010–2011SampleA7.Whichofthefollowingstatementsaretrue?I.Thefactorsof24are2,3,4,6,8and12.II.Theprimefactorizationof24is23×31.III.Theprimefactorsof24are2and3.IV.24isanirrationalnumber.A.IandIVonlyB.IIandIIIonlyC.II,IIIandIVonlyD.I,II,IIIandIV8.Simplify:72A.26B.62C.182D.362FoundationsofMathematicsandPre-Calculus10–2010–2011SampleAPage59.Whichpatterncouldbeusedtopredict3−4?A.33273293133013−1133−2193−3127B.3393263133003−1−133−2−163−3−19C.33273293133013−1−33−2−93−3−27D.3393263133003−1−33−2−63−3−910.Evaluate:16−34A.–8B.18C.12D.2Page6FoundationsofMathematicsandPre-Calculus10–2010–2011SampleA11.AbakergetshismuffinboxesfromtheUnitedStates.Thetallestmuffinshebakesare11cm.Estimatetheheightofthesmallestboxinwhichthemuffinswillfit.A.30inchestallB.10inchestallC.5inchestallD.4inchestall12.JasdeepandKelseyconverted177ouncesintokilograms,asshownbelow.Jasdeep’sSolutionKelsey’sSolution177oz×28.35g1oz×1kg1000g=5017950kg177oz×1oz28.35g×1kg1000g=0.0062kgWhichstatementbelowistrue?A.OnlyKelseyiscorrectbecausetheunitscancel.B.OnlyJasdeepiscorrectbecausetheunitscancel.C.OnlyKelseyisincorrectbecausetheconversionfactorsareincorrect.D.Theyarebothincorrectfordifferentreasons.ThisistheendofPartA(calculatornotpermitted).Ifthereissometimeleft,youhavetwooptions:i)Makesureyouhaveansweredallthequestions.Youwillnotbeabletogobacktothissectionattheendof40minutes.ii)Youmayproceedtotherestoftheexaminationwithouttheuseofacalculator;therearemanyquestionsthatdonotrequireacalculator.Makesureyouflaganyquestionsyouskiptoremembertogobacktothemlater.Donotaccessyourcalculatoruntildirectedbythesupervisor.Attheendofthe40minutes,thesupervisorwillgiveyoupermissiontoaccessyourcalculator.FoundationsofMathematicsandPre-Calculus10–2010–2011SampleAPage7PARTB:MULTIPLE-CHOICEQUESTIONS(calculatorpermitted)Value:42marksSuggestedTime:75minutesINSTRUCTIONS:Foreachquestion,selectthebestanswerandrecordyourchoiceonthewhiteAnswerSheetprovided.UsinganHBpencil,completelyfillinthebubblethathasthelettercorrespondingtoyouranswer.13.Jimdeliversnewspapers.Hegetspaid10dollarsforeverydayofwork,plus5centsforeverypaperhedelivers.WhichofthefollowinggraphsbestrepresentsJim’spossibleincomeforoneday?A.151055040302010Income($)NumberofpapersB.151055040302010Income($)NumberofpapersC.1051525354520304050252015105Income($)NumberofpapersD.1020304050252015105Income($)Numberofpapers515253545Page8FoundationsofMathematicsandPre-Calculus10–2010–2011SampleA14.Determinethedomainoftherelationgraphedbelow.yx5–5–10–5–1010510A.−4,2(]B.−4,2[)C.−1,5[)D.−1,5[]Foundationso