2015年美国“数学大联盟杯赛”(中国赛区)初赛七年级试卷

2014-2015年度美国“数学大联盟杯赛”(中国赛区)初赛of?minutesofbreaktime.()A)5B)12C)13D)19(七年级)55511.?()„„„„„„(初赛时间：2015年1月3日，考试时间90分钟，总分200分)888„55A)0B)C)D)1学生诚信 协议 离婚协议模板下载合伙人协议 下载渠道分销协议免费下载敬业协议下载授课协议下载 ：考试期间，我确定没有就所涉及的问题或结论，与任何人、用任何方式交流或讨论，168我确定以下的答案均为我个人独立完成的成果，否则愿接受本次成绩无效的处罚。12.Themeasuresoftwoanglesinarighttriangledifferby40°.Whatistheleastpossiblemeasureofoneoftheanglesinthetriangle?()„„„„„„„„一、选择题(每小题5分，答对加5分，答错不扣分，共175分，请将正确答案A、B、C题A)10°B)25°C)40°D)50°或者D写在每题后面的圆括号内。)姓名（正楷）13.Ofthefollowing,whichisleast?()A)-1002B)(-49)2C)193D)(0.5)4正确答案填写示例如下：14.Mr.LupucutMerino’spayby20%lastyear,andthencutthislower„„„„„„„20−5×2=2×?(A)payby20%lastweek!IfMerinonowearns$640perweek,Merino’sA)5B)15C)25D)30weeklypaywas$?beforethecuts.()A)896.00B)921.60C)1000.00D)1066.67性别1.2014+2015=1014+1015+?()15.Theaverageof66’sand312’sis()A)200B)1000C)1200D)2000A)6B)8C)8.5D)92.Samhasdemolishedanumberofhousesequaltotheproduct16.Thesumofthetenthsandhundredsdigitsof321.123is()oftwoconsecutiveintegers.Hemayhavedemolished?A)2B)3C)4D)5houses.()17.Whatistheremainderwhen777+77+7isdividedby7?()A)54B)63C)72D)81A)0B)1C)3D)43.Theproductof8000000000and5000000000has?digits.()年级654321?A)20B)19C)11D)1018.()5432167204.Thesumofthelargestoddfactorof380andthelargestevenfactorof380is()A)-720B)-1C)1D)720A)759B)475C)285D)17119.Thesumofawholenumberanditsreciprocalcannotbe()5.Asquarehasaperimeterthatisthesquareofaninteger.ThelengthofonesideoftheA)2.0B)2.8C)4.25D)8.125squarecouldbe()学校20.Jenhasatotalof$2inpennies,nickels,dimes,andquarters.ShehasatleastsomeofA)1B)2C)3D)5eachtypeofcoin.Shehasatmost?dimes.()„„„„„„„线„„„„„„„内„„„„„„„不„„„„„„„答6.Mysandwichcost10quarters,10dimes,and10nickels,andIpaidforitwitha$20bill.A)13B)14C)15D)16HowmuchchangedidIgetback?()21.Tom’saveragedailynumberofhoursinthesunforthelast6daysisA)$8.00B)$10.00C)$12.00D)$16.00twicehisaveragedailynumberofhoursinthesunforthelast4days.7.Whenthetimeis600secondsaftermidnight,thetimeis()Ifhespent12hoursinthesuninthelast4days,thenhespent?区A)12:10P.M.B)10:00P.M.C)12:10A.M.D)10:00A.M.hoursinthesuninthelast6days.()8.32÷2×4–6=()A)12B)24C)36D)48A)-8B)-2C)16D)5822.20+40+60+80+100=(4+8+12+16+20)×?()„„„„装„„„„„„„订5„9.Thesumofthefirst8primenumbersis()A)4B)5C)25D)5A)17B)59C)77D)8923.Letxy=(2×x)–y.Then321()10.DeborahHarriedhasn’thadmuchfreetimetoday.Shehadonly„„„„„„„„„„„„„„装„„„„„„„„„„„„„„„„„订„„„„„„„„„„„„„„„„„线„„„„„„„„„„„„„„„„„„„„„„„城市twobreaks,eachforawholenumberofminutes.IftheproductA)3B)5C)7D)9ofthetwowholenumbersisprime,shecouldhavehadatotal„„„„„„„„„„„„„-1--2-24.Eachlegofanisoscelesrighttriangleofarea60isaslongasthesideofasquare37.IfPx3x92x6,whatistheminimumpossiblevalueofP?witharea()A)30B)60C)120D)225Answer:___________.„„„„„„„25.Theproductofthreeprimeshasatmost?positivedivisors.()38.Therearenballsinabox,eachwithadifferentnumberfrom1to100.IfthesumofA)3B)6C)7D)8thetwonumbersonanytwoballscannotbe135,whatisthegreatestpossiblevalue26.AtworkIaskedeachpersonwhowantedicecreamtoraiseaofn?hand.If10%of100%of1000%ofthe30peopleatworkraisedAnswer:___________.22„„„„„„„„hands,?peopleraisedtheirhands.()39.Therearenorderedpairsofpositiveintegers(x,y)thatsatisfyxy42015.What题A)3B)10C)15D)30姓名（正楷）2nisthevalueofnn22?27.Thepositiveintegerxhas6whole-numberfactors.TheproductAnswer:___________.ofthese6factorsis()346740.Therearetwopositivetwo-digitintegersaandbthatsatisfy(a+b)+ab=2014.If„„„„„„„A)xB)xC)xD)xoneofthenumbersaandbisaperfectsquare,whatisthevalueof|a–b|=?28.Thesumof8consecutiveintegerscouldbe()Answer:___________.A)0B)2C)4D)8性别29.Ifone-fourthofthesquareofanintegerislessthan1,thentheintegerisoneofexactly?possibilities.()A)1B)2C)3D)430.Whichofthefollowingcannotbethedegreemeasuresoftwooftheanglesinacertainisoscelestriangle?()A)40,80B)45,90C)50,65D)60,60年级31.Thedifferencebetweentwoprimesbetween110and130couldbe()A)2B)3C)8D)1432.3×296hasthesamevalueas()A)297+2B)297+296C)632+632D)69633.Igot90%ofmymathtestquestionsand90%ofmyhistorytestquestionscorrect.IfIgot18morequestionscorrectonmymathtestthanonmyhistorytest,mymath学校testhad?morequestionsthanmyhistorytest.()A)18B)20C)36D)180„„„„„„„线„„„„„„„内„„„„„„„不„„„„„„„答34.Themaskedmathematiciantakesmeresecondstomultiplyeverymultipleof2from2to20byeverymultipleof3from3to30.Headdsalloftheproducts,andthetotalis()区A)18150B)108900C)217800D)65340035.Twolinesareparallel,andeachofthemismarkedwith5differentdots.Howmanytrianglescanbeformedusingthesedotsasvertices?()„„„„装„„„„„„„订„A)80B)90C)100D)110二、填空题(每小题5分，答对加5分，答错不扣分，共25分)„„„„„„„„„„„„„„装„„„„„„„„„„„„„„„„„订„„„„„„„„„„„„„„„„„线„„„„„„„„„„„„„„„„„„„„„„„城市36.126=___________.1025255„„„„„„„„„„„„„-3--4-