2025年數(shù)學競賽AMC8試題

2025AMC8Problems3Whatpercentoftheentire4-by-2.Thetablebelowshowstheanci11Forexample,thenumber32wasrepresentedby∩nnll.Whatnumberwasrepresentedbythefollowingcombinationofhierogly例如，數(shù)字32用∩n∩ll表示。請問以下這組象形文字表示的是哪個數(shù)字?(A)1,423(B)10,423I2025AMC8Problems4allplayersatthestartofthegame.WhenBuffaloShuffle-0是一款卡牌游戲。游戲開始時，所有卡牌會平均分配給所有玩家。Annika和她的三位朋友一起玩BuffaloShuffle-o時，每位玩家會得到15張卡牌。假設下一局又有2位朋友加入，請問每位玩Lucius正在以7為間隔進行倒數(shù)。他倒數(shù)的前三個數(shù)是100、93、86。請問倒數(shù)的第10個數(shù)是多少?(A)30(B)375.Bettydrivesatrucktodeliverpackagesishownbelow.Bettystartsatthefactory(labeledF)aBetty駕駛卡車在一個社區(qū)送貨，該社區(qū)記為F)出發(fā)，依次到達A地、BD-D-1個街區(qū)B(A)20(B)222025AMC8Problems56.Sekouwritesthenumbers15,16,17,18,19.Afterheerasesoneofthesumoftheremainingfournumbersisamultiple之和是4的倍數(shù)。請問他擦去了哪個數(shù)字?7.OnthemostrecentexaminProf有5名學生的得分率至少達到了95%,有13名學生的得分率至少達到了90%,有27名學生的得分率至少達到了85%,以及有50名學生的得分率至少達到了80%。請問有多少名學生的得分率至少達到了80%,但小于90%?(A)8(B)142025AMC8Problems6Shetakestheaverageofeachpairofnumbers.Whatistheaverageoftheresulting2025AMC8Problems7=3in.RectangleABCDitogiveasecondrectangle.Whatistwooverlappingrectangles?possibletetrominoshapes,I,O,L,00和T2025AMC8Problems8region,possiblytouchingthebounda13.EachoftheevennumberWhichhistogramdisplaysthenumberoftimeseachremainderoccurs?2025AMC8Problems9squaresgold.Keithenfoldsthegridinhalfvertically,formingpairsofoverlapunitsquares.LetmandMeon-goldpairs,respectively.Whatistheval從1到10之間選擇五個不同的整數(shù)，從11到20之間選擇五個不同的整數(shù)。其2025AMC8Problems10thethreecities,andapersonmayworkinthesamofpeoplelivinginthefirstcitywhoworkinthesec人居住，C城有160人居住。每個人都在A城、B城或C城中的一個城市工作，居住在A城的人在B城工作。)請問有多少人在A城工作?circleandtheinscribedsquareisquarteroftheregionbetweenthecircleandtheinscribedsquarei左下圖的圓的半徑為1個單位，陰影部分為圓和其內接正方形之間的區(qū)域。在右2025AMC8Problems19.Twotowns,AandB,areconnectedfromtownAtotownB,thespeedlimitchangportionoftheroad.Howfarfromto每5英里變化一次：依次為25英里/小時、40英里/小時和20英里/小時。兩輛BA|(A)7.75(B)820.Sarika,Dev,andRajivaresharingaloffhalfofwhatremainsandeatingit:firstSarikaeatshalfofthecheese,thenDeveatshalfoftheremaininghalf,thenRajiveatshalfofwhatremains,thenback2025AMC8Problems12gradeperpod.Someofthepodsarecobelow.Theschoolnoticedthateachpairofconnectedpodshasbeenassignedgradesdirectlyconnectedbyawa哥尼斯堡學校將1至7年級的學生分配到A至G教學區(qū)，每個教學區(qū)分配一個區(qū)分配的年級數(shù)之差不低于2(例如，1年級和2年級的教學區(qū)不會直接通過走sothatthereisthesam2025AMC8Problems1323.Howmanyfour-digitnumbershaveallthreeofth(III)Thenumberistheproductofexactlareallpositiveintegersandthepcongruenttrapezoidssatisfyallofth在梯形ABCD中，∠B=∠C=60°,且AB=DC。該梯形的各邊長均為正