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1,1.(10/P80)Theedgeofasugarcubeisabout1cm.Roughlyhowmanysugarcubescouldyouputinadry,emptyswimmingpoolwhichmeasures25mby10mby5m?,2,2.(19/P82)Youaretoldthatcertainunknownpositiveintegersp,q,r,ssatisfy=.Whichofthefollowingstatementsmustbetrue?,3,3.(09/P84)Iftheradiusofthecircleis1,whatistheareaoftheregionlocatedbetweenthe2squares?,4,4.(02/P87)Twogears,onewith15teethandtheotheronewith20teeth,fittogetherasshowninthefigure.Eachhasamarkedtoothasindicated.Afterhowmanyrotationsofthegearwith15teethwillthemarkedteethbetogetheragainforthefirsttime?,5,5.(09/P88)Asolidcubewith3metersidelengthshassquareholescutthroughitfromthemiddleofeachfacetothemiddleoftheoppositeface,asshown.Thethreeholesintersectinthemiddleofthecube.Thesquarewindowssoproducedhavesidelengthsof1metereach.Whatisthetotalsurfacearea,insquaremeters,ofthenewsolid?,6,7,1.(15/P90)Asquareisinscribedinacircleofradius1.Whatisthesumofthelengthsofthesquaresperimeterandthecirclecircumference?,8,2.(19/P90)Findthevalueofthisproductof98numbers:,9,3.(12/P81)Thehousesandtreesinthediagramareallinastraightline.Ineachofthesixhouseslivesachild.Atwhichtreeshouldthechildrenmeetsothatthesumofthedistancestheywalktothattreeisaminimum?,10,4.(18/P82)Howmany3letterwordscanbemadeusingtheconsonantsBCD,andthevowelsAandE?Awordsisdefinedtobeanysequenceof3letterscontainingtwoconsonantsandonevowelinanyorder(allowingletterstoberepeated).Forexample,ABCandCCEarebothwords.,11,5.(07/P84)Atraintriggersawarningbellwhenitiskilometerfromacrossing.Ifthespeedofthetrainis45kph,howmanysecondsafterthebellistriggeredwillthetrainreachthecrossing?,12,6.(18/P86)Howmanysquaresarethereinthesymmetricdiagramattheright?,13,7.(04/P87)Thesumofthesquaresoftwointegersis34andthedifferenceofthesquaresofthosesameintegersis16.Findthecubeofthesmallestofthoseintegers.,14,8.(10/P89)Theedgeofacubeisincreasedby50%.Theratioofitsnewsurfaceareatoitsoldis?,15,16,1.(09/P80)Asetof10numbershassum100.Eachnumberofthesetisincreasedby20,thenmultipliedby20thendecreasedby20.Whatisthesumofthenumbersinthenewset?,17,2.(02/P83)Howmanynon-isoscelestrianglesofperimeter23unitscanbeformedwithsidesofwholenumberunits?,18,3.(15/P85)Forthenon-zeronumbersa,b,andc,define(a,b,c)=.Find(2,4,6).,19,4.(08/P88)Inawoodlotaforestengineerhasfoundthat3000treesarereadyforcutting.Inthiswoodlot40%ofthetreesareconifers,and60%are“leafy”trees.Also62%oftheleafytreesaremaples,while25%oftheconifersarepines.Altogether,howmanymaplesandpinescanbecut?,20,5.(17/P90)xand2xareboth3digitintegers.Ifthesumofthedigitsofxis19,whatisthesumofthedigitsof2x?,21,6.(16/P90)Anantwalksaroundatrianglewithsides5cm,6cm,and7cmsothatitalwaysstays1cmfromtheoutsideofthetriangle.Whenitreturnstoitsstartingpointforthefirsttime,incm,ithaswalked,22,7.(08/P80)Thew

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