小站教育SAT数学难题汇总及答案docxWord文档下载推荐.docx
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8:
45
18.Ifthe5cardsshownaboveareplacedinarowsomanydifferentarrangementsarepossible
isneverateitheend,how
20.When15isdividedbythepositiveintegerk,theremainderis3.Forhowmanydifferentvaluesofkisthistrue
(A)One
(B)Two
(C)Three
(D)Four
(E)Five
17.Onthenumberlineabove,thereare9equalintervalsbetween0and1.Whatisthevalueofx
19.Ifa,b.c,andfarefournonzeronumbers,thenallofthefollowingproportionsareequivalent
EXCEPT(A)
a/f=b/c
(B)f/c=b/a
(C)c/a=f/b
(D)a/c=b/f
(E)af/bc=1
/1
8.Ifaandbarepositiveintegersandwhatisthevalueofab
(A)6
(B)12
(C)18
(D)24
(E)36
16.Afterthefirstterm,eachterminasequenceis3greaterthan1/3ofthe
precedingterm.Iftisthefirsttermofthesequenceandt=!
0.whatistheratioofthesecondtermtothefirstterm
15.TheAcmePlumbingCompanywillsendateamof3plumberstoworkonacertainjob.
Thecompanyhas4experiencedplumbersand4trainees.Ifateamconsistsof1experiencedplumberand2trainees,howmanydifferentsuchteamsarepossible
p.r.andsarethreedifferentprimenumbersgreaterthan2,andn=p*r*s,howmanypositivefactors,including1andn.doesnhave
18.Ifthesumoftheconsecutiveintegersfrom-22tox,inclusive,is72,
whatisthevalueofx(A)23
(B)25
(C)50
(D)75
(E)94
17.Forallpositiveintegersjandk.letj\R\kbedefinedasthewholenumberremainderwhenjisdividedbyk.If13\R\k=2,whatisthevalueofk
19,Inasetofelevendifferentnumbers,whichofthefollowingCANNOTaffectthevalueofthemedian
(A)Doublingeach
number
(B)Increasingeachnumberby
10
(C)Increasingthesmallestnumberonly(D)Decreasingthelargest
numberonly(E)Increasingthe
largestnumberonly
15.Astorecharges$28foracertaintypeofsweater.Thispriceis40percentmore
thantheamountitcoststhestoretobuyoneofthesesweaters.Atanend-of-season
sale,storeemployeescanpurchaseanyremainingsweatersat30percentoffthestore'
scostHowmuchwoulditcostanemployeeto
purchaseasweaterofthistypeat
thissale(A)$
(B)
$(C)$(D)
$(E)$
andCorinnestandback-to-back.Theyeachtake10stepsinoppositedirectionsawayfromeachotherandstop.Alicethenturnsaround,walkstowardCorinne.andreachesherin17steps.ThelengthofoneofAlice'
sstepsishowmanytimesthelengthofone
ofCorinne'
ssteps(AllofAlice'
sstepsarethesamelengthandallofCorinne'
sstepsarethesamelength.)
14.Ifnandpareintegersgreaterthan1andifpisafactorofbothn+3andn+10.whatisthevalueofp
(A)3
(B)7
(C)10
(D)13
(E)30
16.Inamixtureofpeanutsandcashews,theratiobyweightofpeanutstocashewsis
5to2.Howmanypoundsofcashewswilltherebein4poundsofthismixture
14.Howmanyintegersgreaterthan20andlessthan30areeachtheproductofexactlytwodifferentnumbers,bothofwhichareprime
(A)Zero
(B)One
(C)Two
(D)Three
(E)Four
20.Ifkisapositiveinteger,whichofthefollowingmustrepresentanevenintegerthatistwicethevalueofanoddinteger
(A)2k
(B)2k+3
(C)2k+4
(D)4k+1
(E)4k+2
类型2:
18.Theshadedregioninthefigureaboveisboundedbythex‐axis,thelinex
=4,andthegraphofy=f(x).Ifthepoint(a,b)liesintheshadedregion,whichofthefollowingmustbetrue
I.a<
4
II.b
III.b<
f(a)(A)I
<
a
only
(B)IIIonly
(C)IandII
only(D)Iand
IIIonly(E)
I.II,andIII
19.
Atabottling
company,
machineAfills,
abottle
withspring
waterandmachineBaccepts
thebottle
if
the
offluid
ounces117
121
If
machineBaccepts
a
and
isbetween
8
bottle
containing
nfluid
ounces,
whichof
following
describes
all
possible
valuesofn
7.Dwaynehasanewspaperrouteforwhichhecollectskdollarseachday.Fromthis
amounthepaysoutk/3dollarsperdayforthecostofthepapers,andhesavestherest
ofthemoney.Intermsofk,howmanydayswillittakeDwaynetosave$1,000
17.Inthexy-coordinateplane,thegraphofx=y*y-4intersectslinelat(0,p)
and(5,t).Whatisthegreatestpossiblevalueoftheslopeofl
18.Estherdrovetoworkinthemorningatanaveragespeedof45milesperhour.Shereturnedhomeintheeveningalongthesamerouteandaveraged30milesperhour.IfEstherspentatotalofonehourcommutingtoandfromwork,howmanymilesdidEstherdrivetoworkinthemorning
14.If(a+b)^=(a-b)^,whichofthefollowingmustbe
true(A)b=0
(B)a+b=1
(C)a-b=1
(D)a^2+b^2=1
(E)a^2-b^2=1
15.Thefigureaboveshowsthegraphsofy=x*xandy=a-x*x
a.Ifthelengthof
PQisequalto6,whatisthevalue
forsomeconstant
ofa(A)6
(B)9
(C)12
(D)15
18.Duringasale,acustomercanbuyoneshirtforxdollars.Eachadditionalshirtthecustomerbuyscostszdollarslessthanthefirstshirt.Forexample,thecostofthesecondshirtisx-zdollars.Whichofthefollowingrepresentsthecustomer'
scost,indollars,fornshirtsboughtduringthissale
16.Letthefunctionhbedefinedbyh(x)=14+x^2/4.Ifh(2m)=9m,whatisonepossiblevalueofm
16.Ifxisanintegergreaterthan1andify=x+1/x,whichofthefollowing
mustbetrueI.y=!
xII.yisaninteger.III.xy>
x^2
(A)Ionly
only(D)IandIIIonly(E)I,II,andIII
6.Ifmandkarepositiveand10(m^2)*k^-1=100m,whatism^-1!
in
termsofk(A)k/10
(B)k/90
(C)k^10(D)1/10k
(E)1/90k
8.Thefigureaboveshowsthegraphofaquadraticfunctionfthathasaminimumat
thepoint(1,1).Iff(b)=f(3),whichofthefollowingcouldbethevalueofb
(A)-3
(B)-2
(C)-1
(D)1
(E)5
16.Ifa+2bisequalto125percentof4b,whatisthevalueofa/b
'
sbiologyexperimentinvolvedtiming12hamstersinamaze.Eachhamsterreceivedatleastonepracticebeforebeingtimed.Thescatterplotaboveshowsthetimetooktocompletethemazeandthecorrespondingnumberofpracticesthateachhamsterreceived.Basedonthedata,whichofthefollowingfunctionsbestrelationshipbetweent,thenumberofsecondstocompletethemaze,andp,thenumberofpractices
eachhamstermodelsthe
(A)t(p)=44
(B)t(p)=p
(C)t(p)=
44p
(D)t(p)=
p/44(E)t(p)=p+44
20.Forallnumbers.tandv.lettheoperation□bedefinedbyx
□
v=xy-y
Ifaandbrepositiveintegers,whichofthefollowingcanbeequaltozero
I.a
□b
II.(a+b)
□bIIl.a
□(a+b)(A)
Ionly
(B)IIonly
(C)IIl
only(D)I
andll(E)
IandIIl
18.Inthefigureabove,ABCDisarectangle.PointsAandClieonthegraphofy=p*x^3,wherepisaconstant.IftheareaofABCDis4,whatisthevalueofp
19.Ifk,n,x,andyarepositivenumberssatisfyingx^(-4/3)=k^-2andy^(4/3)
=n^2,whatis
(xy)^(-2/3intermsofnandk
(A)1
1/2(C)
3/2
(D)6/5
(E)3
8.Thepriceofgroundcoffeebeansisddollarsfor8ouncesandeachouncemakesc
cupsofbrewedcoffee.Intermsofcandd.whatisthedollarcostofthegroundcoffeebeansrequiredtomake1cupofbrewedcoffee
15.Ifx^2-y^2=10andx+y=5.whatisthevalueofx-y
18.Theaverage(arithmeticmean)ofthetestscoresofaclassofpstudentsis70.
andtheaverageofthetestscoresofaclassofnstudentsis92.Whenthescoresofbothclassesarecombined,theaveragescoreis86.Whatisthevalueof
p/n
14.
Whichofthefollowingisequivalenttoh(m
+1)
(A)g(m)
(B)g(m)+
l(C)g(m)-1(D)h(m)+1(E)h(m)-1
hascontainersoftwodifferentsizes.Thetotalcapacityof16containersof-onesize
isxgallons,andthetotalcapacityof8containersoftheothersizeisalso
andx>
0.Intermsofx,whatisthecapacity,ingallons,ofeachofthelarger
(A)4x
(B)2x
xgallons,
containers
(C)x/2
(D)x/8
(E)x/1
6
18.Letthefunctionfbedefinedbyf(x)=x^2+18.Ifmisapositivenumbersuch
thatf(2m)=2f(m),whatisthevalueofm
19.Thecostofmaintenanceonanautomobileincreaseseachyearby10percent,andAndrewpaidS300thisyearformaintenanceonhisautomobile.Ifthecost
cformaintenanceonAndrew'
sautomobilenyearsfromnowisgivenbythefunctionc(n)=300x^n,whatisthevalueofx
(A)
(C)
(D)
(E)30
xy=7andx-y=5.thenx^2*y-xy^2=
(A)2
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