英文数学试卷

英文数学试卷英文数学试卷英文数学试卷资料仅供参考文件编号：2022年4月英文数学试卷版本号：A修改号：1页次：1.0审核：批准:发布日期：1、DidyouknowInthedecimalnumbersystem(base10)tendifferentdigits,0to9,areusedtowriteallthenumbers.Inthebinarynumbersystem(base2)twodifferentdigitsareused,.0and1.Whichoneofthefollowingnumbersisnotavalidnumberintheoctalnumbersystem(base8)A)128B)127C)126D)125E)1242、Thenumberofdiagonalsthatcanbedrawninaregularpolygonwithtwentysides(icosagon)is_____.3、Ifaandbareintegers,103=1,1527=3,andthen3796isequalto_____.4、Twonumbersareintheratio2:3.When4isaddedtoeachnumbertheratiochangesto5:sumofthetwooriginalnumbersis____.5、ThegreatestnumberofMondayswhichcanoccurin45consecutivedaysis____6、Saulplaysavideogameinwhichhescores4forahitandlost6foramiss.After20roundshisscoreis30.Thenumberoftimeshehasmissedis____.7、ThreegirlsA,BandCrunina100mrace.WhenAfinishes,Bis10mbehindAandwhenBfinishesCis20mbehindB.HowfarinmetreswasCfromAwhenAfinished(Let’sassumealltheathletesrunataconstantspeed)8、Theareasofthefacesofarectangulaboxare84cm2,70cm2and30volumeoftheboxincm3is____.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、Anantcoversadistanceof90metresin3hours.Theaveragespeedoftheantindecimetresperminuteis____.2、TheAncientRomansusedthefollowingdifferentnumeralsintheirnumbersystemI=1C=100V=5D=500X=10M=1000,etcl=50Theyusedthesenumeralstomakeupnumbersasfollows:I=1VI=6II=2VII=7III=3VIII=8IV=4IX=9V=5X=10,etcSo,forexample,XCIXis99.WhatisthevalueofXLVI?3、Inacertaintownsomepeoplewereaffectedbya’flu’epidemic.Inthefirstmonth20%ofthepopulationcontractedthefluwhilst80%werethefollowingmonth20%ofthesickpeoplerecoveredand20%ofthehealthypeoplecontractedthefractionofthepopulationishealthyattheendofthesecondmonth?4、Mpho,Barry,Sipho,EricaandFatimaaresittingonaparkisnotsittingonthefarright.Barryisnotsittingonthefarisnotsittingateitherend.EricaissittingtotherightofBarry,butnotnecessarilynexttohim.Fatimaisnotsittingnexttoisnotsittingnexttoissittingatthefarright?5、Ofthe28Tshirtsinadrawer,sixarered,fiveareblue,andtherestarewhite.IfBobselectsTshirtsatrandomwhilstpackingforaholiday,whatistheleastnumberhemustremovefromthedrawertobesurethathehasthreeTshirtsofthesamecolour6、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、DidyouknowApalindromeisanumberwhichreadsthesameforwardsasbackwards.35453.Nextyear2002isanexampleofapalindromicnumber.Whatisthedifferencebetween2002andthenumberofthepreviouspalindromicyear9、IfaÅb=(2×a)(3×b)thenthevalueof2Å(3Å5)is____.10、TwoantsstartatpointAandwalkatthesamepace.Oneantwalksarounda3cmby3cmsquarewhilsttheotherwalksarounda6cmby3cmrectangle.Whatistheminimumdistance,incentimetres,anyonemustcoverbeforetheymeetagain?参考答案：单位换算，注意单词，90×10÷(3×60)=5463、4、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、In2004,16JunefallsonaWednesday.Onwhatdayoftheweekwill16Junefallin2010?2、Ifhalfofanumberis30,thenthree-quartersofthatnumberis____.Thesumofthedigitsofthefollowingproduct999×5554、Threepositiveintegershaveasumof28.Thegreatestpossibleproductthattheseintegerscanhaveis_____.5、Inwhatfollows,□andΔaredifferent503isdividedby□theremainderis503isdividedbyΔtheremainderis493isdividedby□xΔtheremainderis_____.6、Alady,herbrother,hersonandherdaughter(allrelatedbybirth)playedvolleyball.Theworstplayer'stwin(whoisoneofthefourplayers)andthebestplayerareofoppositeworstplayerandthebestplayerareofthesamecannotbetheworstplayer(s)A)brotheronlyB)daughteronlyC)sonanddaughteronlyD)ladyanddaughteronlyE)ladyonly7、Ifyoucontinuethegivennumberpattern,inwhatrowandinwhatpositioninthatrowwillthenumber320be?1--------------row123--------------row2456--------------row378910--------------row4Theanswersaregivenintheorderofrow;position.参考答案：1、Wednesday2、453、27（求数位上上的数字之和）4、28=9+9+10，因此答案为8105、503-20=483483=3×7×23＝21×23