英语奥数题

英语数学题1、Anantcoversadistanceof90metresin3hours.Theaveragespeedoftheantindecimetresperminuteis____.2、3、Inacertaintownsomepeoplewereaffectedbya’flu’epidemic.Inthefirstmonth20%ofthepopulationcontractedthefluwhilst80%werehealthy.Inthefollowingmonth20%ofthesickpeoplerecoveredand20%ofthehealthypeoplecontractedthedisease.Whatfractionofthepopulationishealthyattheendofthesecondmonth?4、Mpho,Barry,Sipho,EricaandFatimaaresittingonaparkbench.Mphoisnotsittingonthefarright.Barryisnotsittingonthefarleft.Siphoisnotsittingateitherend.EricaissittingtotherightofBarry,butnotnecessarilynexttohim.FatimaisnotsittingnexttoSipho.SiphoisnotsittingnexttoBarry.Whoissittingatthefarright?5、Ofthe28T–shirtsinadrawer,sixarered,fiveareblue,andtherestarewhite.IfBobselectsT–shirtsatrandomwhilstpackingforaholiday,whatistheleastnumberhemustremovefromthedrawertobesurethathehasthreeT–shirtsofthesamecolour?6、Inanalienlanguage,jalezborgfarnmeans“goodmathsskills”.Nurfklarborgmeans“mathsinharmony”anddarkoklarfarnmeans“goodingold”.Whatis“harmonygold”inthislanguage?7、Fivechildren,Amelia,Bongani,Charles,DevineandEdwina,wereintheclassroomwhenoneofthembrokeawindow.Theteacheraskedeachofthemtomakeastatementabouttheevent,knowingthatthreeofthemalwayslieandtwoalwaystellthetruth.Theirstatementswereasfollows:Amelia:“Charlesdidnotbreakit,nordidDevine.”Bongani:“Ididn’tbreakit,nordidDevine.”Charles:“Ididn’tbreakit,butEdwinadid.”Devine:“AmeliaorEdwinabrokeit.”Edwina:“Charlesbrokeit.”Whobrokethewindow?8、Didyouknow?Apalindromeisanumberwhichreadsthesameforwardsasbackwardse.g.35453.Nextyear2002isanexampleofapalindromicnumber.Whatisthedifferencebetween2002andthenumberofthepreviouspalindromicyear?9、IfaÅb=(3×b)thenthevalueof2+(2×a)Å(3Å5)is____.10、TwoantsstartatpointAandwalkatthesamepace.Oneantwalksarounda3cmby3cmsquarewhilsttheotherwalksarounda6cmby3cmrectangle.Whatistheminimumdistance,incentimetres,anyonemustcoverbeforetheymeetagain?参考答案：1、单位换算，注意单词，90×10÷（3×60）＝52、463、0.684、Erica5、抽屉原则76、注意一一对应，borg=maths,farn=good,jalez=skills.Klar=in,Nurf=harmony,darko=gold.答案是Nurfdarko.7、Charles8、10019、6710、1081、Didyouknow?Inthedecimalnumbersystem(base10)tendifferentdigits,0to9,areusedtowriteallthenumbers.Inthebinarynumbersystem(base2)twodifferentdigitsareused,i.e.0and1.Whichoneofthefollowingnumbersisnotavalidnumberintheoctalnumbersystem(base8)?A)128B)127C)126D)125E)1242、Thenumberofdiagonalsthatcanbedrawninaregularpolygonwithtwentysides(icosagon)is_____.3、Ifaandbareintegers,10andthen3796isequalto_____.4、Twonumbersareintheratio2:3.When4isaddedtoeachnumbertheratiochangesto5:7.Thesumofthetwooriginalnumbersis____.5、ThegreatestnumberofMondayswhichcanoccurin45consecutivedaysis____6、Saulplaysavideogameinwhichhescores4forahitandlost6foramiss.After20roundshisscoreis30.Thenumberoftimeshehasmissedis____.7、ThreegirlsA,BandCrunina100mrace.WhenAfinishes,Bis10mbehindAandwhenBfinishesCis20mbehindB.HowfarinmetreswasCfromAwhenAfinished?(Let’sassumealltheathletesrunataconstantspeed)8、Theareasofthefacesofarectangulaboxare84cm2,70cm2and30cm2.Thevolumeoftheboxincm3is____.9、Youhave3weights:1kg,3kgand9kgaswellasanequalarmbalance,asshown.Howmanydifferentweightobjectscanyouweighwiththesethree?[Remembertheweightsmaybeplacedoneitherside]参考答案：1、A考察我们学过的简单的进制问题，显然8进制中没有8出现2、170找规律，公式为n×（n-3）÷23、1定义新运算，就是求379÷6的余数。4、40，16和245、76、57、28米，根据距离比求出速度比，三者的速度比为1：9/10：18/258、420分解质因数9、13种1.Twonumbersdifferby57.Theirsumis185.Findthenumbers.Choicesforthesmallernumber:546474.2.Abuswent318kmfartherthanacar.Thecarwentonethirdasfarasthebus.Howfardideachvehicletravel?Choicesforthesmallernumber:1471511593.onenumberisfourtimesanothernumber.Thelargernumberisalso87morethanthesmallernumber.Findthenumbers.Choicesforthesmallernumber:2930334.Aclownweights60lbmorethanatrapezeartist.Thetrapezeartistweighstwothidsasmuchastheclown.Howmuchdoeseachweigh?choicesfortheweightofthetrapezeartist:1101201255.TheU.S.Senatehas100memebers,allDemocratsorRepublicans.Recentlytherewere12moreDemocratsthanRepublicans.HowmanySenatorsfromeachpoliticalpartywerethereatthattime?ChoicesforthenumberofRepublicans:3842446.Theninthgradeclasshas17moregirlsthanboys.thereare431studentsinall.howmanyboysarethere?howmanygirlsarethere?Choicesforthenumberofboys:1912022077.ElenahasoneandahalftimesasmuchmoneyasRamon.Togethertheyhave225.howmuchmoneydoeseachhave?ChoicesforRamom'samount;8090958.Westernstatecollegeis18yearsolderthansouthernstate.westernisalso2andthehalftimesasoldassouthern.howoldiseach?Choiceforsouthernstate'sage:121418answers:1.设较小数为x.x+x+57=185x=64.2.设轿车行驶了x千米.318+x=3xx=159千米轿车行驶了159千米,公车行驶了318+159=477千米.3.设较小数为x.4x=x+87x=29.4.60+x=3x/2x=1205.LetthenumberofRepublicansbex.x+x+12=100x=446.设有x名男生x+x+17=431x=207名有男生207名,女生431-207=224名.7.设Ramom有x元.x+3x/2=225x=90元8.设southernstatescollege有x年历史.x+18=5x/2x=12年.