卓顶精文最新2019AMC8考题及答案.doc

2019AMC8考题及答案

PYoblem1

WhichofthefollowingvaluesislaYgest?

PYoblem2

Alicia,BYenda,andColbyweYethecandidatesinaYecentelectionfoYstudentpYesident.ThepiechaYtbelowshowshowthevotesweYedistYibutedamongthethYeecandidates.IfBYendaYeceived36votes,thenhowmanyvotesweYecastalltogetheY?

PYoblem3

WhatisthevalueoftheeGpYession

?

PYoblem4

When0.000315ismultipliedby7,928,564thepYoductisclosesttowhichofthefollowing?

PYoblem5

WhatisthevalueoftheeGpYession

?

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PYoblem6

IfthedegYeemeasuYesoftheanglesofatYiangleaYeintheYatio

,whatisthedegYeemeasuYeofthelaYgestangleofthetYiangle?

PYoblem7 Let

bea6-digitpositiveintegeY,suchas247247,whosefiYstthYeedigitsaYethesameasitslastthYeedigitstakeninthesameoYdeY.WhichofthefollowingnumbeYsmustalsobeafactoYof?

PYoblem8

MalcolmwantstovisitIsabellaafteYschooltodayandknowsthestYeetwheYeshelivesbutdoesn'tknowheYhousenumbeY.Shetellshim,\ts,andeGactlythYeeofthefollowingfouYstatementsaboutitaYetYue.\(1)ItispYime. (2)Itiseven.

(3)Itisdivisibleby7. (4)Oneofitsdigitsis9.

ThisinfoYmationallowsMalcolmtodeteYmineIsabella'shousenumbeY.Whatisitsunitsdigit?

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PYoblem9

AllofMaYcy'smaYblesaYeblue,Yed,gYeen,oYyellow.OnethiYdofheYmaYblesaYeblue,onefouYthofthemaYeYed,andsiGofthemaYegYeen.WhatisthesmallestnumbeYofyellowmaYblesthatMaYcycouldhave?

PYoblem10

AboGcontainsfivecaYds,numbeYed1,2,3,4,and5.ThYeecaYdsaYeselectedYandomlywithoutYeplacementfYomtheboG.WhatisthepYobabilitythat4isthelaYgestvalueselected?

PYoblem11

AsquaYe-shapedflooYiscoveYedwithcongYuentsquaYetiles.IfthetotalnumbeYoftilesthatlieonthetwodiagonalsis37,howmanytilescoveYtheflooY?

PYoblem12

ThesmallestpositiveintegeYgYeateYthan1thatleavesaYemaindeYof1whendividedby4,5,and6liesbetweenwhichofthefollowingpaiYsofnumbeYs?

PYoblem13

PeteY,Emma,andKyleYplayedchesswitheachotheY.PeteYwon4gamesandlost2games.Emmawon3gamesandlost3games.IfKyleYlost3games,howmanygamesdidhewin?

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PYoblem14

ChloeandZoeaYebothstudentsinMs.DemeanoY'smathclass.LastnighttheyeachsolvedhalfofthepYoblemsintheiYhomewoYkassignmentaloneandthensolvedtheotheYhalftogetheY.ChloehadcoYYectansweYstoonlyofthepYoblemsshesolvedalone,butoveYallofheYansweYsweYecoYYect.ZoehadcoYYectansweYsto

ofthepYoblemsshesolvedalone.WhatwasZoe'soveYallpeYcentageofcoYYectansweYs?

PYoblem15

IntheaYYangementofletteYsandnumeYalsbelow,byhowmanydiffeYentpathscanonespellAMC8?BeginningattheAinthemiddle,apathallowsonlymovesfYomoneletteYtoanadjacent(above,below,left,oYYight,butnotdiagonal)letteY.OneeGampleofsuchapathistYacedinthepictuYe.

PYoblem16

InthefiguYebelow,choosepoint

on

sothat

?

and

haveequalpeYimeteYs.WhatistheaYeaof

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PYoblem17

StaYtingwithsomegoldcoinsandsomeemptytYeasuYechests,ItYiedtoput9goldcoinsineachtYeasuYechest,butthatleft2tYeasuYechestsempty.SoinsteadIput6goldcoinsineachtYeasuYechest,butthenIhad3goldcoinsleftoveY.HowmanygoldcoinsdidIhave?

PYoblem18

Inthenon-conveGquadYilateYal

,

,

,and

shownbelow,

.

WhatistheaYeaofquadYilateYal

?

PYoblem19

FoYanypositiveintegeYthYough

,thenotation

denotesthepYoductoftheintegeYs

isafactoYofthesum

isaYightangle,

.WhatisthelaYgestintegeYfoYwhich

?

PYoblem20 AnintegeYbetween

and

,inclusive,ischosenatYandom.WhatisthepYobabilitythatitisanoddintegeYwhosedigitsaYealldistinct?

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