成果介绍相关.pdfVIP

USA

AMC12

2004

1AliciaearnsUNIQ42180b99e−QINU20perhour,ofwhich1.45%isdeductedtopaylocal

taxes.HowmanycentsperhourofAlicia’swagesareusedtopaylocaltaxes?

(A)0.0029(B)0.029(C)0.29(D)2.9(E)29

2OntheAMC12,eachcorrectanswerisworth6points,eachincorrectanswerisworth0

points,andeachproblemleftunansweredisworth2.5points.IfCharlynleaves8ofthe25

problemsunanswered,howmanyoftheremainingproblemsmustsheanswercorrectlyin

ordertoscoreatleast100?

(A)11(B)13(C)14(D)16(E)17

3Forhowmanyorderedpairsofpositiveintegers(x,y)isx+2y=100?

(A)33(B)49(C)50(D)99(E)100

4Berthahas6daughtersandnosons.Someofherdaughtershave6daughters,andtheresthave

none.Berthahasatotalof30daughtersandgranddaughters,andnogreat-granddaughters.

HowmanyofBertha’sdaughtersandgrand-daughtershavenochildren?

(A)22(B)23(C)24(D)25(E)26

55.Thegraphoftheliney=mx+b

(A)mb−1(B)−1mb0(C)mb=00mb1(D)(E)mb1

6LetU=2×,V=,W=2003×,X=2×,Y=

andZ=.Whichofthefollowingisthelargest?

(A)U−V(B)V−W(C)W−X(D)X−Y(E)Y−Z

7Agameisplayedwithtokensaccordingtothefollowingrules.Ineachround,theplayerwith

themosttokensgivesonetokentoeachoftheotherplayersandalsoplacesonetokenintoa

discardpile.Thegameendswhensomeplayerrunsoutoftokens.PlayersA,BandCstart

with15,14and13tokens,respectively.Howmanyroundswillthere