加拿大高中考试题.docx
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加拿大高中考试题.docx
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加拿大高中考试题
Apprenticeshipand
WorkplaceMathematics10
ExaminationBooklet
SampleA
RevisedNovember2,2011
DONOTOPENANYEXAMINATIONMATERIALSUNTILINSTRUCTEDTODOSO.
ExaminationInstructions
1.OnyourAnswerSheet,fillinthebubble(FormA,B,C,D,E,F,GorH)thatcorrespondstotheletteronthisExaminationBooklet.
2.Youmayrequirearuler(metricandimperial).
3.Protractorsarenotpermitted.
4.Whenusingyourcalculator(scientificorapprovedgraphingcalculator):
•usetheprogrammedvalueofπratherthantheapproximationof3.14.
•roundonlyinthefinalstepofthesolution.
5.Diagramsarenotnecessarilydrawntoscale.
6.Whentheexaminationbegins,removethedatapageslocatedinthecentreofthisbooklet.
7.ReadtheExaminationRulesonthebackofthisbooklet.
Contents:
29pagesExamination:
2hours
60multiple-choicequestionsintheExaminationBookletAdditionalTimePermitted:
60minutes
©ProvinceofBritishColumbia
PARTA:
MULTIPLE-CHOICEQUESTIONS(calculatornotpermitted)
SuggestedTime:
30minutes
Value:
12marksAllowableTime:
40minutes
INSTRUCTIONS:
Nocalculatormaybeusedforthispartoftheexamination.Foreachquestion,selectthebestanswerandrecordyourchoiceontheblueAnswerSheetprovided.UsinganHBpencil,completelyfillinthebubblethathasthelettercorresponding
toyouranswer.Youhaveamaximumof40minutestoworkonthissection.
YouhaveExaminationBookletFormA.Intheboxabove#1onyourAnswerSheet,fillinthebubbleasfollows.
ExamBookletForm/Cahierd’examen
ABCDE
FGH
1.Apairofscissorsis20cmlong.Estimatethislengthinimperialunits.
A.8inchesB.50inchesC.1foot
D.2feet
2.Thedimensionsofadoorare7feetby36inches.Expressthesedimensionsinyards.
A.7×3
3
B.21×1
3
C.21×3
D.7×1
3.Aribbonis4feet10incheslong.Itneedstobecutintopiecesthatare8inchesinlength.
Howmanyfulllengthpieceswilltheribbonprovide?
A.
5
B.
6
C.
7
D.
8
4.Flowersaretobeplantedsixinchesapartalongtheperimeterofthegardenrepresentedbelow.
Estimatethenumberofflowersneeded.
30ft
16ftGarden
A.
15
B.
45
C.
90
D.
180
5.Craigmustcompletelycoverthewallrepresentedbelowwith4'×8'sheetsofplywood.
Alumberyardchargeshimafeepercutmadetotheplywood.Whatisthefewestnumberofcutsrequired?
Wall
9'–3"
Plywood8'
4'
9'–6"
A.
2
B.
3
C.
4
D.
5
6.Eachsquareonthegridbelowrepresentsonesquaremetre.Whatistheapproximateareaofthesurfaceofthepond?
Island
Pond
A.30−40m2
B.50−60m2
C.65−75m2
D.85−95m2
7.Apictureframeis2incheswide.Estimatethelengthofthediagonaljoin,x.
x2in
2in
A.2inB.3inC.4inD.8in
8.Estimatethemeasureof∠DBE.
D
BE
Note:
Thisdiagramisdrawntoscale.
A.22.5°B.30°
C.60°D.90°
Usethefollowingtabletoanswerquestions9and10.
CanadianBankForeignExchangeRatesforBuyingandSelling
(cashratesforJune28,2009)
CountryCurrencyName/BankBuyingBankSelling
CurrencyCodeRate(CAD)Rate(CAD)
Australia
Dollar(AUD)
0.8788
0.9926
BrazilReal(BRL)0.50460.6578
Canada
Dollar(CAD)
—
—
CaymanIs.Dollar(KYD)1.25681.5000
Euro
Euro(EUR)
1.5552
1.6877
FranceFranc(FRF)0.2222RefertoEuro
GreatBritain
Pound(GBP)
1.8413
1.9681
HongKongDollar(HKD)0.13890.1597
India
Rupee(INR)
0.01964
0.03034
IndonesiaRupiah(IDR)0.0000890.000130
Israel
Shekel,New(ILS)
0.2554
0.3241
JapanYen(JPY)0.0116470.012579
Mexico
Peso(MXN)
0.0760
0.0927
PhilippinesPeso(PHP)0.020840.02839
SaudiArabia
Riyal(SAR)
0.2734
0.3338
SouthAfricaRand(ZAR)0.12330.1598
SouthKorea
Won(KRW)
0.000774
0.001050
SwitzerlandFranc(CHF)1.02131.1085
UnitedStates
Dollar(USD)
1.1210
1.1810
9.Acustomerwantstoexchange200CADforSwissFrancs(CHF).HowshouldtheclerkatthebankcalculatethenumberofCHFtogivehim?
A.Use1.0213,sincethecustomerisbuyingCHF,anddivide200by1.0213.
B.Use1.0213,sincethecustomerisbuyingCHF,andmultiply1.0213by200.C.Use1.1085,sincethebankissellinghimCHF,anddivide200by1.1085.
D.Use1.1085,sincethebankissellinghimCHF,andmultiply1.1085by200.
10.Stellawantstoexchange1500CADforCaymanIslanddollars(KYD).HowmanyKYDwillsheget?
A.
750
B.
1000
C.
1875
D.
2250
11.Determinethecombinedfederalandprovincialtaxdeductionsforanemployeewhoseweeklygrosspayis$389.50.Useclaimcode1.
A.
$22.75
B.
$25.90
C.
$26.65
D.
$64.90
12.Tofillacoffeemugatalocalshopcosts$2.50.Theshopsellscoffeebeansfor$12perpound.
Eachpoundmakesenoughcoffeetofillthemug100times.Approximatelyhowmanytimesgreateristhecostofdrinkingthecoffeeattheshopcomparedtodrinkingitathome?
A.
2
B.
5
C.
20
D.
240
ThisistheendofPartA(calculatornotpermitted).
Ifthereissometimeleft,youhavetwooptions:
i)Makesureyouhaveansweredallthequestions.Youwillnotbeabletogobacktothissectionattheendof40minutes.
ii)Youmayproceedtotherestoftheexaminationwithouttheuseofacalculator;therearemanyquestionsthatdonotrequireacalculator.Makesureyouflaganyquestionsyouskiptoremembertogobacktothemlater.
Donotaccessyourcalculatoruntildirectedbythesupervisor.Attheendofthe40minutes,thesupervisorwillgiveyoupermissiontoaccessyourcalculator.
PARTB:
MULTIPLE-CHOICEQUESTIONS(calculatorpermitted)
Value:
48marksSuggestedTime:
90minutes
INSTRUCTIONS:
Foreachquestion,selectthebestanswerandrecordyourchoiceonthewhiteAnswerSheetprovided.UsinganHBpencil,completelyfillinthebubblethathasthelettercorrespondingtoyouranswer.
13.InwhichsetaretheSIprefixescorrectlymatchedwiththepowersoften?
A.kilo103deca101centi10−2
B.hecto1000
deci1
100
milli1
or0.01
or0.0001
10000
C.hecto103
deca101
milli10−2
D.kilo1000
centi100
deca1
10
or0.1
14.Asanestimationstrategy,whatcouldbeusedtoapproximateonemetre?
A.thelengthofyourfootB.thelengthofyourarmC.thelengthofyourhand
D.thewidthofyourshoulders
15.Thelengthofafireplacemantleis6'–9".Expressthislengthinmetres.
A.
2.1
B.
4.5
C.
20.6
D.
205.9
16.HowmanyBritishgallonsareequivalentto24USgallons?
A.
20.0
B.
22.8
C.
25.2
D.
28.8
17.Thetopofa20footlongrailingistobepainted.Thediameteroftherollertobeusedis8.9cm.
Paintneedstobereplenishedafter6rotationsoftheroller.Howmanytimesdoesthepainterhavetoaddpainttohisroller?
A.
12
B.
9
C.
5
D.
4
18.Thediameterofatrayis42cmandthediameterofaglassis56mm.Basedonmathcalculations,aserverthoughthewouldbeabletofit56glassesontothetray.Infact,heisabletofitonly37glasses.Approximatelyhowmuchspaceonthetrayisnotcoveredbyglasses?
A.1800cm2
B.475cm2
C.185cm2
D.155cm2
19.Thequiltshownbelowwascreatedwithtwodifferentfabriccolours.
Estimatetheratioofdarkfabrictolightfabric.
A.1:
1
B.1:
3
C.2:
3
D.3:
4
20.TheVerniercallipershownbelowiscalibratedinSIunits.Whatisthemeasurementonthecalliper?
123456
A.2.01cmB.2.12cmC.2.55cmD.3.05cm
21.Thefoundationwallsofacabinareconstructedasfollows:
4
•81"thickconcrete
8
•27"thickinsulationboardonbothinteriorandexteriorsides
2
•1"thickcedarontheexteriorsideonly
Whichsolutionwouldbeusedtodeterminethetotalthicknessofthefoundationwalls?
A.2(27+1)+81
824
B.81−(27+1)
482
C.81+27+1
482
D.1+2(27)+81
284
8
22.Howmanysheetsof5"plywoodareinaslingload(orstack)5'high?
A.
37
B.
38
C.
80
D.
96
23.Theareaofapictureis2925mm2.Expressthisareaincm2.
A.
2.925
B.
29.25
C.
292.5
D.
29250
24.Inagymnasium,abasketball“key”isapaintedareaonthefloor.Itconsistsofasemicircleplusarectangle,asshownbelow.Findtheareaofthesemicircle.
6.6m
2.6m
A.
2.65
B.
5.31
C.
10.62
D.
21.24
m2m2m2m2
25.Findthesurfaceareaoftheconedrawnbelow.
7"
6"
A.75.4sqinB.120.13sqinC.245.0sqinD.468.2sqin
26.Whichstatementcorrectlyexpressesasimilaritybetweentwotrianglesinthediagrambelow?
E
F
G
A
BCD
A.ΔAGB∼ΔCEDB.ΔAGB∼ΔACFC.ΔACF∼ΔADED.ΔAFC∼ΔADE
27.Theshapesofthetoptwolayersoftheweddingcakeshownbelowaresimilar.
Findthelength,x,ofthemiddlelayer.
x
A.3.5inB.4.7inC.8.0inD.10.5in
28.WhichpropertyprovesthatΔABCissimilartoΔDEF?
A
1cm
B
F
2cm
C
4cm
E
2cm
D
A.AB=AC
DEDF
B.AC=ED
C.∠A=∠D
D.AC=DE
BCEF
29.Ginadrewascalerepresentationofafield(seePolygonC).Forinstance,shedrewaline
2.2cmtorepresenttheactualmeasure(20m)ofthisside(AD).GinaneedstocompletethedrawingofPolygonDsothatbothpolygonsaresimilar.
PolygonCPolygonD
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