**TI83F* AppVariable file 11/02/04, 12:02C CSATPREP1CCGALWgn  zVI$&+05]:=+?BSAT PREP 1Powered bywww.number2.comv01.00(c)2004Number2.comisadivisionofXAPCorporationversion01.00#www.number2.com*PSATisaregisteredtrademarkoftheCollegeEntranceExaminationBoard,whichwasnotinvolvedintheproduction#of,anddoesnotendorse*thenumber2.comwebsite1orthisproduct.PSNC0001Becausewoolisdyedbynaturalprocesses,usingdyesobtainedfromlocalanimal,plantormineralsubstances,_____froma#givengeographicregion*tendtoexhibitsimilar1_____.P1)pigments..properties2)fabrics..textures3)cloths..patterns4)tinctures..scents#5)textiles..hues*P5)textiles..huesThekeyhereisthatthefirstpartofthesentencetellsyouthattheresult#describedinthesecond*halfofthesentenceoccurs1becausewoolisDYEDbyPnaturalprocesses.DyeisusedtoaddCOLORtocloth.Huesmeanshadesorcolors,andsoisclearlythebestchoiceforthe#secondblank.PSNC0002Thenewpresidentusedavarietyoftechniquestotryto_____various_____groups,andotherswhohadlongbeenalienatedby#politics,backintothe*democraticprocess.1P1)entice..disenfranchised2)suborn..reformist3)bring..rebellious4)persuade..delinquent#5)eradicate..*progressiveP1)entice..disenfranchisedThekeyisknowingthemeaningofdisenfranchised,whichisa#toughword.Itmeans*removedoralienatedfrom1something,usuallypolitics.PIfyoudidn'tknowthatdefinition,maybeyoucouldhaveeliminatedsomeoftheanswersyouknewwerewrongto#improveyourchanceof*choosingthecorrectone.PSNC0003Theteacherworriedthatherstudent's_____complexionwasasignofillhealth.#1)hale*2)disconsolate13)maladroitP4)pallid5)moroseP4)pallidTheproperchoicehereispallidwhichmeansunusuallypale,orlacking#invibrancy.Itisthe*appropriateadjectiveto1gowithcomplexion,whichPreferstothegeneralappearanceoftheface,especiallyintermsofcolororhue.PMTH0026Whatistheaverage(arithmeticmean)ofthefollowingfivenumbers:-8,-6,3,7,and19?#1)1*2)1.613)2P4)2.65)3P5)3Thereare5numbersinthissequence,sotheaveragewillbethetotalofallthe#sumsinthesequence*dividedby5.1ThesumofallthenumbersP(-8+-6+3+7+19)is15,sotheaveragemustbe15/5,or3.Theanswerisoption(5).PMTH0002Letx^y^z^w=(xw)/(yz)forallx,y,w,zthataregreaterthanzero.Ifx^3^4^8=4,whatisthevalueofx?#*1)612)12P3)244)365)48P1)6Wecansolveforxbysimplifyingthefraction.x^3^4^8=(8*x)/(3*4).#Wecanwritethatas*(8*x)/12=(2x)/3.1Takingwhatweknow,Pnamely(2x)/3=4,thenwemultiplybothsidesby3/2weseethatx=6.Youcangetthisoneintwoways:bydoingthealgebra#withthefractions,orby*pluggingineachanswer1choiceandchecking.P(6*8)/(4*3)=48/12=4PWMTH0003ThreeyearsagomenmadeuptwooutofeverythreeinternetusersinAmerica.Todaytheratioofmaletofemaleusersisabout1to#1.Inthattimethenumber*ofAmericanfemalesusing1theinternethasgrownbyP30,000,000,whilethenumberofmaleswhousetheInternethasgrownby100%.Byhowmuchhasthetotalinternet-user#populationincreasedin*Americainthepastthree1years?P1)80,000,0002)60,000,0003)50,000,0004)100,000,000#5)200,000,000P3)50,000,000Theratiooffemaletomaleusersusedtobe1:2.Letx=originalnumberof#femaleusers.*Sothetotalinternet-user1populationthreeyearsagoPwas1x+2x=3x.Themalepopulationhasdoubled,(2x+2x=4x)Butthefemalepopulationnowequalsthemaleone,#so1x+30,000,000=4x.*Thereforex=10,000,000.1ThismeansthatthreePyearsagotheinternetuserpopulationwas30,000,000,whilenowitis80,000,000(4x+4x).Soithasincreasedby#50,000,000.PMTH0004Acombinationlockrequiresfourdigitswherethedigitsrunfrom0to9.Ofallpossiblecombinations,what#fractioncontainsonlyodd*digits?1P1)1/82)1/163)3/164)1/45)1/2P2)1/16Ifbothevenandodddigitscanbeused,thenforeachofthefourdigitsthereare#10possiblechoices.That*meansthatthereare110*10*10*10or10^4P=10,000possiblecombinations.Butifonlyoddnumbersareused,thenthereare5*5*5*5=5^4#possiblecombinations.You*caneithercalculatethis1outanddivideitby10,000Ptogettheanswer,oryoucanseethatthisisthesameasmultiplyingtheprevioustotalby(1/2)^4=1/16.P*MTH0005Thegeometricmeanofthreenumbers,a,b,c,isdefinedas:(a*b*c)^(1/3)Whichofthefollowing#tripletshasthehighest*geometricmean?1P1)(2,4,6)2)(0,6,8)3)(1,4,7)4)(2,3,6)5)(0,6,9)P1)(2,4,6)Ifthegeometricmeanis(a*b*c)^(1/3),thenitsimplyfollowsthatthe#threenumberswiththe*largestproductwillhave1thelargestgeometricPmean.Immediatelydiscardthetripletscontainingzero,andnoticethatthelargestproductisachievedbythetriplet(2,4,6).PzALG0003Ifu=17and2uv=68thenv=?1)22)3#3)4*4)515)6P1)2Plugginginforuinthesecondequation,weget34v=68,whichmeansthat#v=2.P ALG0001Ifapersonchews2packsofgumperday,andifapackofgumcontainsppieces,howmanypiecesofgumdoesshechewper#hour?*11)p/24P2)p/123)(2p)/124)24/(2p)5)(24p)/2P2)p/12Shechews2ppiecesevery24hours,sotherateperhouris(2p)/24,which#simplifiestop/12.PALG0002Considerthefollowingtwoequations.8s+2t=xt+4s=-1Ifthereareaninfinite#numberofreal-valued*solutionsforsandt,what1mustbethevalueofx?P1)02)-13)-24)t#5)sP3)-2Therewillbeaninfinitenumberofsolutionsforsandtwhenthetwo#equationsgivethesame*information.Ifx=-2,then1thetopequationisjust2Ptimesthebottomequation.Thismeansthatthereisreallyonlyoneequation,andtwounknowns-sandt.Inthissituation,an#infinitenumberofpairsof*valuesforsandtwill1satisfytheequation.PGEO0001 8`=UU^ꪪUUUU` 5UUUUVꪪUUUUUU@UUUUUUP UUUUUT*?UUWUUUU`UU@ꪠUV5UP UX UX U`UT5UV*UUPUUjPjVP5U*TUUTU@ UX U@ UPU`UPU` 00 p 2BzPThepictureaboveshowsthefrontviewofatunnelthatextends250meters.Theshadedareaistheconcreteroofofthe#tunnel.Approximatelyhow*muchconcretewasusedto1buildthetunnel?P1)7850cubicm2)9760cubicm3)14140cubicm4)15700cubicm#5)28280cubicmP1)7850cubicmThevolumeoftherooflayerisequaltothevolumeofthecylinder#formedbytheouteredge*minusthevolumeofthe1cylinderformedwiththePinneredge.Theoutercylinderis(1/2)*l*r^2*=(1/2)*250*6^2*.Theinnercylinderis#(1/2)*l*r^2*=*(1/2)*250*4^2*.1SubtractingthetwowegetP7850cubicm.PALG0004If(z-1)*(y+1)=0,whichofthefollowingmustbetrue?1)zy=y-z#2)z=1*3)z>y14)zy=y+1-zP5)z^2=y^2P4)zy=y+1-zTherearealotoftrickanswershere.Thekeyistomultiplyouttheproduct#andrewritetheequation.*Wehave:1(z-1)*(y+1)=0Pzy+z-y-1=0zy=y+1-zAnswers(2),(3)and(5)arealltrueinspecialcases(specificallywhen#z=1andy=-1),butare*nottruegenerally.PGEO0002vAcylindricalwaterpitcheris13inchestallandhasaradiusof5inches.Asolidcylinder,halfastallasthepitcher#andwitharadiusof*2.5inchesisplacedinside1thepitcher.BywhatPfractionistheamountofwaterthepitchercanholdreduced?1)1/8#2)1/4*3)1/214)3/4P5)4/3P 1)1/8Thevolumeofthepitcheris(height**radius^2).Tofindthevolumeofthe#solidcylinderrelativeto*thatofthepitcher,we1substitute1/2theheightPand1/2theradius.Thismeansthatthesolidcylinderhasvolume=(1/2height)**(1/2radius)^2#=1/2*1/4*height***radius^2.1Sothesolidis1/8thesizePofthepitcherandthatisthefractionbywhichtheamountofwateritcanholdisreduced.(Noticethatwenever#neededtoworkwiththe*actualheightofthe1pitcher-13inches.ThatPwasjustextrainformation.Howeverifyouwantedtoworkthisoutbymultiplyingouttheactualvolumesofeachof#thecylinders,youcoulddo*so.)P|GEO0003Q 8` @# @ @'*@  00 ((<<8$AA$A$9APInthefigureabove,theslopeofthelinethroughpointsAandBis1/2.Whatisthevalueofk?#1)1*2)11/213)2P4)21/25)3P1)1Weknowthattheslopeequals1/2,sotheriseis1andtherunis2.Forevery#unitincreaseinythereisa*2-unitincreaseinx.1WeknowthattherunPbetweenpointsAandB(thedistancebetween-3and3)is6.Weknowthatthechangeinyishalfthechangeinx,sotherise#betweenpointsAandBis3.*SincepointAisat-2onthe1y-axis,kmustequal1.PGEO0004 8` 9 |  G @CW (( 00 A@FP PInthefigureabove,thelinesegmentjoiningthepoints(4,3)and(4,-1)formsonesideofanisoscelestriangle.Whichof#thefollowingcouldbethe*coordinatesofanother1vertexofthattriangle?P1)(1,-1)2)(1,2)3)(0,0)4)(3,0)#5)(0,3)P5)(0,3)Anisoscelestrianglehastwosidesofequallength.Avertexat(0,3)wouldform#anisoscelestriangle:*Thesidebetween(0,3)and1(4,3)haslength4.PThesidebetween(4,3)and(4,-1)haslength4.PGEO0005u 8`@@@DDD|@@   C(r.J)J)2&   >>|""D""D""D?  PWhichofthefollowingisequaltotheperimeterofthefigureabove?1)3a+2b+x+y#2)3a+2(b+x)+y*3)3(a+b)+x+y14)3(a+b)+2(x+y)P5)2(x+y)P2)3a+2(b+x)+yTheperimeteristhesumofthelengthsofallsidesofthefigure,sowehave:#a+a+a+b+b+x+x+y*=3a+2b+2x+y1=3a+2(b+x)+yPSNC0004Goodman'sdepictionofthe_____attentionhercharactersdevotetotheirappearancefindsa_____inherowncareful#concernforstructureand*phrasing.1P1)haphazard..reflection2)wanton..corollary3)meticulous..parallel4)scrupulous..#divergence*5)casual..counterpartP3)meticulous..parallelThewordmeticulousmeanshavingcarefulattentiontodetail.Ifthe#charactersaremeticulous*abouttheirappearance,1thenthisisparallelto,orPsimilarto,thecarefulconcerntheauthorshowsinherwriting.PSNC0005AccordingtoOrwell,goodprose,likeawindowpane,shouldbecraftedsoastocreateanillusionofperfect_____.#*1)opacity12)transparencyP3)intelligence4)wit5)readabilityP2)transparencyAwindowpaneistransparent,thatisitletsyouseerightthrough.Good#writing,saysOrwell,*shouldalsobe1transparent,meaningyouPcanseerightthroughthewordstothemeaningbeyondthem.PALG0005Juanbuysredandbluestampstomailtwopackages.Onthefirstpackageheputsthreebluestampsandoneredstamp,#foratotalcostof$1.18.*Onthesecondpackagehe1putstworedstampsandPthreeblueones,foratotalcostof$1.43.Whatisthecostofthebluestamp?1)25cents#2)31cents*3)35cents14)43centsP5)50centsP2)31centsItisconvenienttoconvertthetextintoequations.Thetwopackagesgiveusthe#followingtwoequations:*3blue+1red=$1.181_[_package1]P3blue+2red=$1.43_[_package2]Theonlydifferencebetweenpackage1and2isoneredstamp,sotheprice#ofthatstampmustbe*25cents.Youcanthen1solvetoseethatthreePbluestampsare93cents,andsoeachoneis31cents.P_AdditionalSATpreparationmaterialsmaybefoundatwww.number2.comP(c)2004Number2.comisadivisionofXAPCorporationversion01.00#www.number2.comP