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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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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