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ENTRYEXAMINATIONFORTHEYEAROF2011TheInternationalCurriculumProgramEntryExam(Mathematics,Grade10),2011CandidateName6¶µCandidateNumberÒ:PAPERCODE11/2011READTHESEINSTRUCTIONSFIRST1.Thereare30questions.Eachquestionisfollowedby5optionsmarkedA,B,C,D,E.Onlyoneoftheseiscorrect.EntertheletterA-EcorrespondingtothecorrectanswerinthecorrespondingboxontheAnswerSheet.2.Timeallowed:60minutes.3.Calculatorsareforbidden.4.Scoringrules:0marksareawardedforeachquestionleftunanswered;2.5marksareawardedforeachcorrectanswer;0.5marksisdeductedforeachincorrectanswer.`²µ1.Áò30K,þüÀK¶2.Ám60©¨§ØU¦^Oì;3.zKÀZY:é2©§0.5©§Ø0©;4.Y3Yò£ ¤þ§Á(å ¤kÁò£iP;1ALLRIGHTSRESERVEDENTRYEXAMINATIONFORTHEYEAROF20115.3=©ÁK¥§\U¬^±eêÆ;c®.midpoint¥:linesegmentãgradientÇevaluateOpositiveconstant~êvalueequalrootexpandÐminequalityتpercentz©'graphãside(õ/)set8Ünumberêminimumfunction¼êinterval«mpoint:vertexº:sumÚanglerightangledistinctØÓquadrilateralo/integerêarea¡ÈlengthÝintersectequation§trianglen/plane²¡realnumber¢êslopeǧgradientÓaltitude(n/)plinejoinëvertices(pl.)º:primenumberê£ê¤maximumperfectsquare²square/cubeáNremainder{êtrapeziumF/diagonaléinscribeScircleprismcÎplane²¡surfaceareaL¡Èrhombus!/shadedÒKhexagon8/median¥ êregularhexagon8/positivesemicirclecentre¥%!%two-digitnumberü êprobabilityVÇmean²þêrandomÅdiameter»overlapUpentagonÊ/evennumberóêoddnumberÛêpolygonõ/hypotenuseperimeter±Thereare8printedpages82ALLRIGHTSRESERVEDENTRYEXAMINATIONFORTHEYEAROF20111.Themidpointofthelinesegmentjoining( 4; 5)to(8; 5)isA(2;4)B( 1; 4)C(2; 5)D(1;5)Enoneoftheabove2.Thegradientofthelinejoining(3,-4)and(-1,8)isA3B 3C13D 13E13.Thetwolinesx+y=0and2x y+6=0intersectatthepointA 1; 12B( 1;1)C(3;4)D( 2;1)E( 2;2)4.Evaluate12sin3p22 ( 1)30sin90A14Bp23Cp34Dp38ENoneofthese5.Thelengthofthelinesegmentjoining(1; 4)to( 7;2)isA6B7C8D9E106.Thevaluesofxforwhich(2x+1)(x 3)0,areAx3Bx 12Cx3orx 12D 12x3Ex37.Ifx2+x+p=0hasequalrootsandp0,pisA:p48B:p6C:4D:14E28.Solvingtheequation1x 2=1 x2 x 3givesAx=0Bx=1Cx=2DnosolutionEnoneoftheabove3ALLRIGHTSRESERVEDENTRYEXAMINATIONFORTHEYEAROF20119.Theline2x+3y=1isperpendiculartotheline2y+mx=2,thenm=Am= 3Bm=3Cm=43Dm= 43E.m=110.Ifaballisrandomlychosenfromaboxwhichcontains4redballs,5blackballsand7yellowballs,thenwhatistheprobabilitythattherandomlychosenballisblack?A17B13C14D516.E.71611.Thevertexoftheparabolay=x2 4x+hhascoordinates(2;5),whatisthevalueofh?A©9B.8C.2D.3E.noneofthese12.TheentriestotheFunprogramgrewfrom500in2010to701in2011.Approximatelywhatpercentageincreasedoesthisrepresent?A.30%B.40%C.50%D.60%.E.80%13.Solvingtheinequalities(2x+23x+3x 13 x 422,givesA. 2x 1B.1x2Cx 2Dx 1Ex 214.Inamagazine,10pagesofthe80pagesaredevotedtosports.WhatpercentofthemagazineisNOTdevotedtosports?A.27%B.37.5%C.47.5%D.62.5%E.87.5%15.Theminimumvalueofthefunctiony=x2+2x+3overtheinterval[ 2;1]isA-2B-3C0D2E316.Whichofthefollowingnumberisaperfectsquare?A.445566B.446665.C.455466.D.465465E.465564.17.Whatisthevalueofq126+162?A.110B.19C.13D.524E.7244ALLRIGHTSRESERVEDENTRYEXAMINATIONFORTHEYEAROF201118.200T-shirtshavebeenboughtforaFunRunatacostof$400plustaxat1712%.Thecostofentryfortherunis$5perperson.WhatistheminimumnumberofentriesneededinordertocoverthetotalcostoftheT-shirts?A.40B.47C.80D.84E.9419.Inthe gureshown,AB=AFandABC,AFD,BFE,andCDEareallstraightlines.Whichofthefollowingexpressionsgiveszintermsofxandy?A.y x2B.y x2C.y x3D.y x3E.y x20.Thesymbolrisde nedbyxry=xy 2xy.Whatisthevalueof(1r0)r4?A.-9B. 7C.5D.0.E.3:21.Inthexy-plane,pointR(2;3)andpointS(5;6)aretwoverticesoftriangleRST.Ifthesumoftheslopesofthesidesofthetriangleis1,whichofthefollowinganglescouldbearightangle?I\RII\SIII\TANoneBIonlyCIIIonlyDIIandIIIonlyEI,IIandIII22.Thereare10girlsinamixedclass.IftwopupilsfromtheclassareselectedatrandomtorepresenttheclassontheSchoolCouncil,thentheprobabilitythatbotharegirlsis0.15.Howmanyboysareintheclass?A.10B.12.C.15D.18E.noneofthese23.Whichoneofthefollowingrationalnumberscannotbeexpressedas1m+1n,wherem;naredi¤erentpositiveintegers?A.34B.35C.36D.37E.385ALLRIGHTSRESERVEDENTRYEXAMINATIONFORTHEYEAROF201124.Thediagramshowsanequilateraltriangletouchingtwostraightlines.Whatisthesumofthefourmarkedangles?A.120.B.180.C.240.D.300.E.36025.Deanrunsupamountainroadat8kmperhour.Ittakeshimonehourtogettothetop.Herunsdownthesameroadat12kmperhour.Howmanyminutesdoesittakehimtorundownthemountain?A.30B.40C.45D.50E.9026.Whichofthefollowingisequivalentto(x+y+z)(x y z)?A.x2 y2 z2.B.x2 y2+z2.C.x2 xy xz z2.D.x2 (y+z)2.E.x2 (y z)2.27.Thenumbersx;yandzsatisfytheequationsx+y+2z=850;x+2y+z=950;2x+y+z=1200whatistheirmean?A.250B.10003C.750D.1000Emoreinformationisneeded.28.Expanding 3+p23givesA15+26p3B29p2+45C45p2+29D26+15p3Enoneoftheabove6ALLRIGHTSRESERVEDENTRYEXAMINATIONFORTHEYEAROF201129.Thedistancebetweentwoneighboringdotsinthedotlatticeis1unit.What,insquareunits,istheareaoftheregionwherethetworectanglesoverlap?A.6B.614C.612D.7E.71230.Fivetouchingcircleseachhaveradius1andtheircentersareatthever
本文标题:2014成都国际学校初升高数学试题
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