GRADE10PRINCIPLESOFMATHEMATICS(ACADEMIC)MPM2DTotalMarks:INSTRUCTIONS:1.Calculatorsmaybeused.2.Readallinstructionscarefullyinordertomaximizeyourmark.A/C[K]PartA–MultipleChoice25Marks(25questions*1markeach)Foreachofthefollowingquestionsinthissection,circletheletterrepresentingthecorrectanswer.1.Alinearsystemoftwoequationsthathasonesolutionrepresentstwolinesthatare:a)parallelb)coincidentc)intersectingd)noneofthese2.ThemidpointofRSisM(8,-1).IfpointShascoordinates(11,4)whatarethecoordinatesofpointR?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)b)c)d)5.Theequationofalinewithaslopeofandayinterceptof8is:a)b)c)d)Feelfreetouseanyofthematerialinthisdocument.Marksareonlyguidelines.Wehavecategorizedeachquestionintooneofthe4achievementchart(A/C)categories:Knowledge/Understanding(K),ThinkingandInquiry(T),Application(A)andCommunication(C).Youcanchangeormodifythecategoriesasyouseefit.6.Theslopesof2linesare-7and.Theselinesaresaidtobe:a)parallelb)perpendicularc)coincidentd)noneofthese7.Theslopeofalinesegmentpassingthrough2points(10,-4)and(-2,-16)is:a)1b)2c)-1d)-28.Thelengthofalinesegmentwithendpoints(-6,7)and(-1,-5)is:a)12b)5c)13d)1699.Thediameterofacirclewhoseequationisis:a)15b)16c)17d)noneofthese10.Theequationofacirclewithacentreof(0,0)thatalsopassesthroughthepoint(-8,-6)is:a)b)c)d)11.They-interceptofthelineis:a)2b)-2c)10d)512.Theslopeofthelineis:a)2b)-2c)1d)013.If(-3,y)isasolutiontotheequation,whatisthevalueofy?a)3b)6c)5d)814.Theproductisequalto:a)b)c)d)15.Asimplifiedexpressionforis:a)b)c)d)16.Asimplifiedexpressionforis:a)b)c)d)17.Theslopeoftheline,whichisperpendiculartotheline,is:a)-4b)4c)1d)-118.Theshortestdistancefromthepoint(2,-3)tothelineis:a)5b)3c)2d)619.Thevalueofthepolynomialwhenis:a)59b)44c)13d)2920.Whichofthefollowingisnotafunction:a)b)c)d)21.Therangeoftherelationwhoseequationisis:a)b)c)d)22.Thevertexoftheparabolais:a)b)c)d)23.Theequationoftheaxisofsymmetryoftheparabolais:a)b)c)d)24.Aparabolawithavertexofandastretchfactorof(relativeto)wouldhaveanequationof:a)b)c)d)25Theparabolapassesthroughthepoint.Thevalueofis:a)-19b)11c)13d)19A/CPartB–ShortAnswersForeachofthequestionsinthissection,writeyouranswersinthespacesprovided.Usethefoolscapprovidedforanyroughwork.Showdetailsofcalculationswhereverrequested.1.Intheaccompanyingdiagram,stateeachofthefollowing:(4Marks)[K]a)domain:__________(1Mark)[K]b)range:__________(1Mark)[C]c)Istherelationafunction?Justifyyouranswer.(2marks)[A]2.Thex-interceptsoftheparabolaare:__________and__________.(Showyourwork)(2Marks)[A]3.Therootsofthequadraticequationare:__________and__________.(Showyourwork)(3Marks)[A]4.Writetheequationoftheparabolawithavertexof(4,23)ifitpassesthroughthepoint(-1,-2):(Showyourwork)(3Marks)x____________________[T]5.Alinepassesthrough2points(1,4)and(2,-4).Calculatetheslopeoftheline.Alsoshowtheequationofthelineintheform.(Showyourwork)(4Marks)________________________________________SlopeEquation[K]6.TheTangentofis:__________(1Mark)[A]7.a)Intheaccompanyingdiagram,thetwotrianglesaresimilar.Whatisthevalueof?(Showyourwork)(2Marks)__________[T]b)Iftheareaofthesmallertriangleis8cm2,whatistheareaofthelargertriangle?(Showyourwork)(2Marks)Area=__________[K]8GiventhatsinA=,find(tothenearestdegree)________...
