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EmmaWillardSchoolTroy,NewYork12180MATHEMATICSPLACEMENTTESTPurpose:Thetestsinthisbookletaretohelpdeterminepropermathematicsplacementandminimizetheneedforcoursechangesafterthestartoftheacademicyear.Itisimportantthatthestudentworkindependentlysothatthetestwillgiveusafairrepresentationofhercurrentknowledgeandskills.Thetestsareforplacementpurposesonly.Theydonotaffectadmissionsdecisionsinanyway.However,itisimportanttoanswerquestionstothebestofyourabilityinorderforthemathematicsdepartmenttoplaceyouproperly.Datestudentreceivedtest:_________________Name:(pleaseprint)_______________________________Datetesttaken:___________CirclegradeyouareenteringatEmmaWillardSchool:9101112PGPhonenumber(withareacode):_________________________________________________E-mailaddress:_____________________________________________(printlegiblyplease)Nameofmostrecentschoolattendedandthecityandstate/countrywhereitislocated.______________________________________________________________________________Whatmathcoursedidyoutakethisyear,andwhatisyouraveragegradeatthetimeyouaretakingthistest?______________________________________________________________________________Haveyoutakenafull-yearcoursecalledGeometry?Circleyouranswer.YESNOIfyouwereremaininginyourcurrentschooldistrictoratyourcurrentschool,whatwouldbethenameofthecourseyouwouldtakenextyear?______________________________________________________________________________Howdoyouviewyourselfasamathematicsstudent?Pleasereadthefollowingcarefully:DirectionstoParents:Pleaseseethatyourdaughterhasaquietplacetocompletethetestinonesitting.Thetesthasfourlevels.Eachlevelisdesignedtobecompletedinlessthananhour.Calculatorsmaybeused(EXCEPTontheLevelOnetest),buttextsandnotesshouldnotbeused.Wedonotrecommendextensivereviewpriortotakingthetest.Itismeanttoreflectyourdaughter’saccessibleknowledgeofherretainedmathematicsknowledge.Itisnottoyourdaughter’sadvantagetoobtainhelponthistestsinceproperplacementiscontingentonaccurateassessmentofhercurrentknowledgeofmathematics.DirectionstotheStudent:Thisbookletcontainsfourtests,LevelOne,LevelTwo,LevelThree,andLevelFour.Doasmuchofallfourpartsofthetestsasyoucan.Thesooneryoucompletethetestsandreturnthemtotheschool,thesoonerwecanproperlyplaceyouandstarttheprocessofcreatingyourscheduleforthefall.Printoutthelevelsyouwishtocomplete.Besuretocheckthatalldiagramsandproblemshaveprintedcorrectly.Pleasemailinallpartsthatyouhavecompletedassoonaspossibleafteryoucompletethem.YoumayuseacalculatorexceptonLevelOne.Itisimportantthatyougivethesetestsyourseriousconsiderationastheywillbethemainfactorindeterminingthemathcourseinwhichyouareenrolled.Pleaseshowyourworkneatlynexttotheproblem(includingscratchwork)asitisusefulinourevaluationofyourmethodsandskills.Donotuseextrapaper,andsimplifyallanswers.Showingyourworkhelpsusseewhereyourmistakeswereandaddstoproperassessmentofyourunderstandingandhenceproperplacement.CalculatorUse:ItisimportanttonotethatallEmmaWillardmathematicsstudentswillusetheTexasInstrumentsTI-84PLUSGraphingCalculatorinallofourcourses.Thesemaybepurchasedatcostinourschoolstore.Whileweteachstudentstousetheircalculatorsproficiently,wealsostresstheneedtorecognizeproblemsthatdonotneedacalculatorandmayrequirestudentstosolvethoseproblemswithoutone.Forthisreason,ontheseplacementtestsweaskthatyoudoasmanyproblemsaspossiblewithouttheuseofacalculator.OntheLevelOnetest,NOcalculatorsareallowed.Pleasecompleteasmanyquestionsasyoucanonalllevelsofthefourtests.Forexample,ifyouareanenteringfreshmanandhaveonlycompletedaneighthgrademathcourse,andareonlycapableofcompletingafewproblemsontheLevelOnepart,THISISFINE.Ifyouareanenteringjunior,andhopetohaveproperplacement,completeasmuchasyoucanofallfourtests.Thepurposeofthesetestsisnottomakeajudgmentaboutyourmathematicalability.ItistoassesshowwellyouhavebeenpreparedforthesequenceofcoursesatEmmaWillard.Westrivetoplacenewstudentsinthecourseinwhichtheywillfindthemostappropriatechallenge.Revised4/12Level11of6LevelOneTest(totalpoints=108)Inallquestions,SHOWYOURWORKinthespaceunderthequestionandplaceyourfinalansweronthelineprovidedtotheright.DoNOTuseacalculatoronthistest.1.Asuitthatisregularlysoldfor$120isnowadvertisedonsaleat30%off.Whatisthesalepriceofthesuit?1.__________________(3pts)2.Aschool’sratioofboystogirlsis4:5.Ifthereare360students,howmanygirlsattendtheschool?2.__________________(3pts)3.Evaluate2492xx−−whenx=-1.3.__________________(3pts)In4-8,simplifytheexpression.4.3678xx−+−−4.__________________(3pts)5.325()()xxx−−−5.__________________(3pts)Level12of66.343762ccc+−6.__________________(3pts)7.aaa462⋅7.__________________(3pts)8.(3x)38.__________________(3pts)In9-12solvetheequation.9.−+=−369d9._________________(3pts)10.25652xx+=−10._________________(3pts)11.Theformula9532FC=+convertsCelsiustemperature(C)toFahrenheit(F).WhatistheFahrenheitequivalentof20oC?11._________________(3pts)Level13of612.SolveforCintheformula9325FC=+.12._________________(3pts)13.MultipleChoice.Torentatruckforaday,adriverpaysa$15fee.Shepaysanadditional18centsforeachmileshedrives.Ifthetotalcosti