AMC考题和答案解析.docx

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2017AMC8 考题及答案

2017AMC8 考题及答案

Problem1

Whichofthefollowingvaluesislargest?

Problem2

Alicia,Brenda,andColbywerethecandidatesinarecentelectionforstudentpresident.Thepiechartbelowshowshowthevotesweredistributedamongthethreecandidates.IfBrendareceived36votes,thenhowmanyvoteswerecastalltogether?

Problem3

Whatisthevalueoftheexpression ?

Problem4

When0.000315ismultipliedby7,928,564theproductisclosesttowhichofthefollowing?

Problem5

Whatisthevalueoftheexpression ?

Problem6

Ifthedegreemeasuresoftheanglesofatriangleareintheratiodegreemeasureofthelargestangleofthetriangle?

Problem7

,whatisthe

Let bea6-digitpositiveinteger,suchas247247,whosefirstthreedigitsarethesameasitslastthreedigitstakeninthesameorder.Whichofthefollowingnumbers

mustalsobeafactorof ?

Problem8

MalcolmwantstovisitIsabellaafterschooltodayandknowsthestreetwhereshelivesbutdoesntknowherhousenumber.Shetellshim,Myhousenumberhastwodigits,andexactlythreeofthefollowingfourstatementsaboutitaretrue.

Itisprime.

Itiseven.

Itisdivisibleby7.

Oneofitsdigitsis9.

ThisinformationallowsMalcolmtodetermineIsabellashousenumber.Whatisitsunitsdigit?

Problem9

AllofMarcysmarblesareblue,red,green,oryellow.Onethirdofhermarblesareblue,onefourthofthemarered,andsixofthemaregreen.WhatisthesmallestnumberofyellowmarblesthatMarcycouldhave?

Problem10

Aboxcontainsfivecards,numbered1,2,3,4,and5.Threecardsareselectedrandomlywithoutreplacementfromthebox.Whatistheprobabilitythat4isthelargestvalueselected?

Problem11

Asquare-shapedflooriscoveredwithcongruentsquaretiles.Ifthetotalnumberoftilesthatlieonthetwodiagonalsis37,howmanytilescoverthefloor?

Problem12

Thesmallestpositiveintegergreaterthan1thatleavesaremainderof1whendividedby

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