2016滑铁卢竞赛试题

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1、www.linstitute.netTheCENTREforEDUCATIONinMATHEMATICSandCOMPUTINGcemc.uwaterloo.caEuclidContestTuesday,April12,2016(inNorthAmericaandSouthAmerica)Wednesday,April13,2016(outsideofNorthAmericaandSouthAmerica)Time:212hours c2016UniversityofWaterlooDonotopenthisbookle

2、tuntilinstructedtodoso.Numberofquestions:10Eachquestionisworth10marksCalculatorsareallowed,withthefollowingrestriction:youmaynotuseadevice thathasinternetaccess,thatcancommunicatewithotherdevices,orthatcontains previouslystoredinformation.Forexample,youmaynotusea

3、smartphoneora tablet.Partsofeachquestioncanbeoftwotypes:1.SHORTANSWERpartsindicatedby•worth3markseach•fullmarksgivenforacorrectanswerwhichisplacedinthebox•partmarksawardedonlyifrelevantworkisshowninthespaceprovided2.FULLSOLUTIONpartsindicatedby•worththeremaindero

4、fthe10marksforthequestion•mustbewrittenintheappropriatelocationintheanswerbooklet •marksawardedforcompleteness,clarity,andstyleofpresentation•acorrectsolutionpoorlypresentedwillnotearnfullmarksWRITEALLANSWERSINTHEANSWERBOOKLETPROVIDED.•Extrapaperforyourfinishedsol

5、utionssuppliedbyyoursupervisingteachermustbeinsertedintoyouranswerbooklet.Writeyourname,schoolname,andquestionnumberonanyinsertedpages. 2,etc.,rather•Expresscalculationsandanswersasexactnumberssuchasπ+1and√ thanas4.14...or1.41...,exceptwhereotherwiseindicated.Don

6、otdiscusstheproblemsorsolutionsfromthiscontestonlineforthenext48hours.Thename,grade,schoolandlocation,andscorerangeofsometop-scoringstudentswillbepublishedonourwebsite,cemc.uwaterloo.ca.Inaddition,thename,grade,schoolandlocation,andscoreofsometop-scoringstudentsm

7、aybesharedwithothermathematicalorganizationsforotherrecognitionopportunities.www.linstitute.netNOTE:1.Pleasereadtheinstructionsonthefrontcoverofthisbooklet.2.Writeallanswersintheanswerbookletprovided.3.Forquestionsmarked,placeyouranswerintheappropriateboxintheans

8、werbookletandshowyourwork.4.Forquestionsmarked,provideawell-organizedsolutionintheanswerbooklet. Usemathematicalstatementsandwordstoexplainallofthestepsofyours