Pascal滑铁卢数学竞赛(Grade 9)_1.docx

Pascal滑铁卢数学竞赛(Grade9)Scoring:Thereisnopenaltyforanincorrectanswer.Eachunansweredquestionisworth2,toamaximumof10unansweredquestions.PartA:Eachcorrectanswerisworth5.1.Thevalueof20+1530?25is(A)1(B)5(C)2(D)7(E)02.Whichofthefollowing?guresisobtainedwhentheshaded?gureshownisre?ectedaboutthelinesegmentPQ?PQ(A)PQ (B)(C)(D)(E)PQ3.If8+6=n+8,thennequals(A)14(B)22(C)6(D)?2(E)94.Whichofthefollowingnumbersisgreaterthan0.7?(A)0.07(B)?0.41(C)0.8(D)0.35(E)?0.95.Theexpression4+310+91000isequalto(A)4.12(B)4.309(C)4.039(D)4.012(E)4.396.TheaverageageofAndras,FrancesandGertais22years.WhatisGertasage?(A)19(B)20(C)21(D)22(E)23NameAge(Years)Andras23Frances24Gerta?7.Ifn=7,whichofthefollowingexpressionsisequaltoaneveninteger?(A)9n(B)n+8(C)n2(D)n(n?2)(E)8n8.Jitkahikedatrail.Afterhiking60%ofthelengthofthetrail,shehad8kmlefttogo.Whatisthelengthofthetrail?(A)28km(B)12.8km(C)11.2km(D)1313km(E)20km9.Inthediagram,linesegmentsPQandRSintersectatT.Thevalueofxis(A)30 (B)20(C)40(D)50(E)35QRTP50?S110?x?valueof16×16is(A)21(B)22(C)23(D)24(E)25PartB:Eachcorrectanswerisworth6.11.Jimwrotethesequenceofsymbols?atotalof50times.Howmanymore?symbolsthan?symbolsdidhewrite?(A)50(B)150(C)200(D)250(E)27512.Whatisthesmallestpositiveintegerthatisamultipleofeachof3,5,7,and9?(A)35(B)105(C)210(D)315(E)63013.Sixteensquaresarearrangedtoformaregion,asshown.Eachsquarehasanareaof400m2.Annawalksalongthepathformedbytheouteredgesoftheregionexactlyonce.Aaronwalksalongthepathformedbytheinneredgesoftheregionexactlyonce.Intotal,howfardidAnnaandAaronwalk?(A)160m(B)240m(C)320m(D)400m(E)640m14.Theoperation?isde?nedbya?b=ab+ba.Whatisthevalueof4?8?(A)12(B)1(C)54(D)2(E)5215.Attheendoftheyear2000,Stevehad$100andWaynehad$10000.Attheendofeachfollowingyear,StevehadtwiceasmuchmoneyashedidattheendofthepreviousyearandWaynehadhalfasmuchmoneyashedidattheendofthepreviousyear.AttheendofwhichyeardidStevehavemoremoneythanWayneforthe?rsttime?(A)2002(B)2003(C)2004(D)2005(E)200616.AncaandBruceleftMathvilleatthesametime.TheydrovealongastraighthighwaytowardsStaton.Brucedroveat50km/h.Ancadroveat60km/h,butstoppedalongthewaytorest.TheybotharrivedatStatonatthesametime.ForhowlongdidAncastoptorest?(A)40minutes(B)10minutes(C)67minutes(D)33minutes(E)27minutes17.Inthediagram,sixidenticalcirclesjusttouchtheedgesofrectanglePQRSandeachcirclejusttouchestheadjacentcircles.ThecentresT,V,W,YoffourofthesecirclesformasmallerrectangleTVWY,asshown.ThecentresUandXlieonthisrectangle.IftheperimeterofTVWYis60,whatistheareaofPQRS?(A)600(B)900(C)400(D)1200(E)1000QRc(A)49(B)54(C)(D)50(E)4619.Krystynahassomeraisins.Shegivesone-thirdofherraisinstoMike.Shetheneats4raisins,afterwhichshegivesone-halfofherremainingraisinstoAnna.IfKrystynathenhas16raisinsleft,howmanyraisinsdidshehavetobegin?(A)42(B)54(C)60(D)84(E)10820.Andrehasanunlimitedsupplyof$1coins,$2coins,and$:/doczj/doc/cb66a1fd68dc5022aaea998fcc22bcd126ff42b8.htmlingonlythesecoinsandbillsandnotnecessarilyusingsomeofeachkind,inhowmanydi?erentwayscanheformexactly$10?(A)10(B)9(C)8(D)7(E)6PartC:Eachcorrectanswerisworth8.21.Eachdiagramshowsatriangle,labelledwithitsarea.(4,4)Whatisthecorrectorderingoftheareasofthesetriangles?(A)m (A)331.25(B)463.75(C)1815.25(D)476.00(E)1261.40manytriples(a,b,c)ofpositiveintegerssatisfytheconditions6ab=c2anda (E)WandZVWXYZ1346825711159192846641021315171PascalContest(English)2021