加拿大安大略省十年级数学试卷

《加拿大安大略省十年级数学试卷》由会员分享，可在线阅读，更多相关《加拿大安大略省十年级数学试卷（13页珍藏版）》请在装配图网上搜索。

1、加拿大安大略省十年级数学试卷-英文Feelfreetouseanyofthematerialdocument.Marksareonlyguidelines.in thisIWehavecategorizedeachquestionintooneGRADE10PRINCIPLESOFMATHEMATICS(ACADEMIC)MPM2DTotalMarks:INSTRUCTIONS:1. Calculatorsmaybeused.2. Readallinstructionscarefullyinordertomaximizeyourmark.A/CKPartA-MultipleChoice25Ma

2、rks(25questions*1markeach)Foreachofthefollowingquestionsinthissection,circletheletterrepresentingthecorrectanswer.1. Alinearsystemoftwoequationsthathasonesolutionrepresentstwolinesthatare:a)parallelb)coincidentc)intersectingd)noneofthese2. ThemidpointofRSisM(8,-1).IfpointShascoordinates(11,4)whatare

3、thecoordinatesofpointR?a)(3,-6)b)(15,-6)c)(5,-6)d)(3,9)3. ThemidpointofthelinesegmentwithendpointsA(-8,8)andB(6,4)is:a)(0,10)b)(1,2)c)(7,2)d)(-1,6)4. Theequationofahorizontallinepassingthroughthepoint(4,2)is:a)x2b)y4c)y2d)x45. Theequationofalinewithaslopeofm5andayinterceptof8is:a)y5x8b)y5x8c)y5x8d)y

4、8x52 of 116. Theslopesof2linesare-7and,Theselinesaresaidtobe:u)parallelb)perpendicularc)coincidentd)noneofthese7. Theslopeofalinesegmentpassingthrough2points(10)-2c)10d)512. Theslopeoftheline4jc+2y-1=0is:a)2h)-2c)Id)013. H(-3,y)isasolutiontotheequation工+2y=13,whatisthevalueofy?a)3b)6c)5d)S14. rhepro

5、duct(-3工己34一4%7)isequalto:a)2xy6z2b)12y6z272a/d)Asimplifiedexpressionloris:a)Imb)7m+2丹e)-3md)7切一“3 of 11 I”2,427 abe- is:9abe16. Asimplifiedexpressionfor13 of 11a)3acb)3abee)3ae2d)3a2e24y 8 0 is：a) -4b) 4e) 1d)-117. Theslopeoftheline,whiehisperpendieulartotheline,xis:18. Theshortestdistancefromthepo

6、int(2,-3)tothelinea)5b)3e)2d)219.Thevalueofthepolynomial4a5a8when3is:a)59b)44e)13d)2920.Whiehofthefollowingisnotafunetion:a)2,3,4,5,6,7b)y2x221.Therangeoftherelationwhoseequationisa)y5b)y522.Thevertexoftheparabolayxe)x2y2d)6,2yx25is:e)y5d)y5is:6e)6,4d)6,4,7,3,8,324a)4,6b)4,623.Theequationoftheaxisof

7、symmetryoftheparabola225is:a)x5b)xe)x2d)1 ,-(relative to2、x ) would24.Aparabolawithavertexof2,3andastretehfaetorofhaveanequationof:3b)y1-2一、1x23e)y442x32d)25Theparabola24xkpassesthroughthepoint2,3.Thevalueofkis:A/CKKCAAa)-19b)11c)13d)19PartBShortAnswersForeachofthequestionsinthissection,writeyourans

8、wersinthespacesprovided.Usethefoolscapprovidedforanyroughwork.Showdetailsofcalculationswhereverrequested.1.Intheaccompanyingdiagram,stateeachofthefollowing:(4Marks)a)domain:(1Mark)(1Mark)c)Istherelationafunction?Justifyyouranswer.(2marks)22.Thex-interceptsoftheparabolayx289are:(Showyourwork)(2Marks)

9、and23.Therootsofthequadraticequation3x17x100are:and(Showyourwork)(3Marks)A4.Writetheequationoftheparabolawithavertexof(4,23)ifitpassesthroughthepoint(-1,-2):(Showyourwork)(3Marks)T5.Alinepassesthrough2points(1,4)and(2,-4).Calculatetheslopeoftheline.AlsoSlopeshowtheequationofthelineintheformAxByC0.(S

10、howyourwork)(4Marks)EquationK6.TheTangentof45is:(1Mark)A7.x?a) In the accompanying diagram, the two triangles are similar. What is the value of(Show your work) (2 Marks)Tb)Iftheareaofthesmallertriangleis8cm2,whatistheareaofthelargertriangle?(Showyourwork)(2Marks)Area=K8 Given that sin A =, find A (t

11、o the nearest degree)(1 Mark)A9.Intheaccompanyingrighttriangle,findthevalueofxtoonedecimalplace.(Showyourwork)(2Marks)A10.UsetheSINELAWtofindthevalueofsidextoonedecimalplace.(Showyourwork)(2Marks)A(Show your work) (2 Marks)11. UsetheCOSINELAWtofindthevalueofsidextoonedecimalplace.T12.Factoreachofthe

12、followingtothefullestextentpossible:(4Questions*2markseach)a) mxmy2x2y2_b) 4x11x342c) 16x4169y222d) 9r230rs25s2A/CPartC-FullSolutionsRequiredForeachofthequestionsinthissection,fullsolutionsarerequired.Recordyouranswersinthespacesprovided.Usethefoolscapprovidedforanyroughwork.A1.Solvethelinearsystemu

13、singtheeliminationmethod.Remembertofindvaluesforbothxandy.(5Marks)x5y222x3y21CExplainwhatthesolutionaboverepresentsgeometrically.Howdoyouknowthatthesolutionyouarrivedatisthecorrectanswer?(2Marks)2A2.Expandandsimplifythepolynomial2x3x4x1.(4Marks)T3.Findtheequationofthelineperpendiculartotheline8xy80a

14、ndpassingT4.throughthepoint(-4,1).(4Marks)Fromthewindowofonebuilding,amanfindsthattheangleofelevationtothetopofasecondbuildingis47andtheangleofdepressiontothebottomofthendsamebuildingis58.Thebuildingsare60mapart.Findtheheightofthe2buildingtothenearestmetre.Adiagramisrequired.(6Marks)T5.ABChasvertice

15、sA(1,7),B(-5,3)andC(3,-1).DeterminetheequationforAE,thealtitudefromvertexAtotheoppositesideBC.(5Marks)6.Thehypotenuseofarighttriangleis26cm.Thesumoftheothertwosidesis34cm.(9Marks)Ta)Findthelengthoftheothertwosidesofthetriangle.(3Marks)Tb)Findthemeasureoftheothertwoangles.Roundtothenearestdegree.(3Ma

16、rks)Cc)DescribeasituationwhereyouwouldbeabletouseknowledgeofthePythagoreantheoreminapractical,reallifesituation.(3Marks)T7.Arectangularskatingrinkmeasures20mby20m.Ithasbeendecidedtoincreasetheareaoftherinkbyafactorof4.Determinehowmucheachsideshouldbeextended.Assumethateachsideisextendedbythesameamount.(6Marks)CWhatisthesignificanceofkeepingtheskatingrinkintheshapeofasquare?Justifyyouranswer.(3Marks)2A8.a)Solve12d5d3usingthequadraticformula.(2Marks)2Ab)Solve12x30byfactoring.Checkyoursolutions.(2Marks)