NEX EXAM MATH QUESTIONS AND
ANSWERS
AMrunnerMinMaM3/4-
mileMraceMfellMdownM4/5MofMtheMwayMfromMtheMstartingMlineMtoMtheMfinishMline.MGi
venM5,280MfeetMperMmile,MhowMmanyMfeetMfromMtheMfinishMlineMwasMtheMrunnerMw
henMtheyMfell?M-MAnswerM792Mfeet
AMsmokingMcessationMprogramMwasMorganizedMforM623MemployeesMofMaMcompany,Man
dM216MsuccessfullyMstoppingMsmoking.MWhatMwasMtheMapproximateMratioMofMsuccesses
MtoMfailures?M-MAnswerM1MtoM2
AMteacher'sMaideMwasMgivenM5M1/2MpoundsMofMmoldingMclayMandMaskedMtoMseparate
MitMintoMequalMamountsMforM3Mclassrooms.MHowMmanyMpoundsMofMclayMdidMeachMcl
assroomMreceive?M-MAnswerM1M5/6
GivenMthatMmilitaryMtimeMusesMaM24-
hourMclockM(12:00MmidnightMequalsMtoM24:00),MwhatMtimeMisM9:15Mp.m.MinMmilitaryMt
imeM-MAnswerM21:15
TheMformulaMforMtheMareaMofMaMsquareMisMAM=MwIM(wM=Mwidth,M=Mlength).MIfMaM
squareMroomMmeasuresM12-Mfeet
onMeachMside,MhowMmanyMsquareMfeetM(sqMft)MofMcarpetingMwillMbeMneededMtoMco
mpletelyMcoverMtheMfloor?M-MAnswerM156M1/4MsqMft
OnMaMfinalMexam,MaMstudentMreceivedM96MproblemsMcorrectMoutMofMtheM120MtotalM
problems.MWhatMpercentageMofMtheMproblemsMdidMsheMgetMINCORRECT?M-
MAnswerM20%
AMmechanicMhasM4MlitersM(L)MofMoilMtoMfillMaMcarMthatMrequiresM4MquartsM(qt)MofM
oil.MGivenMthatM(1MqtM=M0.946ML),
whenMtheMengineMisMfilledMtoMcapacityMwithMoil,MhowMmuchMoil,MinMliters,MwillMnot
MbeMused?M-MAnswerM0.216ML
GivenMthatMoneMquartMequalsM0.946Mliters,MhowMmanyMlitersMareMinMaMseven-
quartMcontainerMifMitMisMonlyMhalf-wayMfull?M-MAnswerM3.3Mliters
, FactorM6x^2+x-12MintoMtwoMbinomialMterms.M-MAnswerM(2x+3)(3x-4)
AMrecipeMusingM1/3McupMofMsugarMforMeveryM4MeggsMisMtripled.MWhatMisMtheMratio
MofMcupsMofMsugarMtoMeggsMneeded?M-MAnswerM1:12
AMpainterMmixesMcolorsMtoMcreateMaMcustomMshadeMofMgreenMusingMaMratioMofM2Mp
artsMblueMtoM3MpartsMyellow.MIfMtheMpainterMwantsM30MouncesMofMtheMcustomMcolor
,MhowMmanyMouncesMofMyellowMpaintMshouldMbeMusedMtoMmaintainMtheMratio?M-
MAnswerM18
Given:
3MfeetM=M1Myard
3.281MfeetM=M1Mmeter
ApproximatelyMhowMmanyMmetersMisM2Myards?M-
MAnswerM1.829MisMtheMcorrectManswer.
StepM1:MConvertMyardsMtoMfeet:M2MyardsMXM3Mfeet/1Myard=6Mfeet
StepM2:MConvertMfeetMtoMmeters:
6MfeetMXM1Mmeter/3.281MfeetMisMapproximatelyM1.829Mmeters
WhatMisM1M3/5Msquared?M-MAnswerM2M14/25
Simplify:M3xM+M2yM-MxM-M3yM-MAnswerM2x-y
IfMaM=M3MandMbM=M6,MwhatMisMtheMvalueMofMbMtoMtheMaMpower?M-MAnswerM216
DuringMaMsale,MaMbookstoreMreducedMtheMpriceMbyM3/20MforMeachM$25.00Mbook.MWh
atMwasMtheMfinalMsaleMprice?M-MAnswerM$21.25
-374M-M(-715)M-MAnswerM341
AMstudentMreceivedMscoresMofM75,M60,M80,MandM88MonMfourMtests.MIfMallMtheMtests
MareMweighedMequally,MwhatMisMtheMstudent'sMaverageMonMtheMtestsMwhenMrounded
MtoMtheMnearestMwholeMnumber?M-MAnswerM76
ANSWERS
AMrunnerMinMaM3/4-
mileMraceMfellMdownM4/5MofMtheMwayMfromMtheMstartingMlineMtoMtheMfinishMline.MGi
venM5,280MfeetMperMmile,MhowMmanyMfeetMfromMtheMfinishMlineMwasMtheMrunnerMw
henMtheyMfell?M-MAnswerM792Mfeet
AMsmokingMcessationMprogramMwasMorganizedMforM623MemployeesMofMaMcompany,Man
dM216MsuccessfullyMstoppingMsmoking.MWhatMwasMtheMapproximateMratioMofMsuccesses
MtoMfailures?M-MAnswerM1MtoM2
AMteacher'sMaideMwasMgivenM5M1/2MpoundsMofMmoldingMclayMandMaskedMtoMseparate
MitMintoMequalMamountsMforM3Mclassrooms.MHowMmanyMpoundsMofMclayMdidMeachMcl
assroomMreceive?M-MAnswerM1M5/6
GivenMthatMmilitaryMtimeMusesMaM24-
hourMclockM(12:00MmidnightMequalsMtoM24:00),MwhatMtimeMisM9:15Mp.m.MinMmilitaryMt
imeM-MAnswerM21:15
TheMformulaMforMtheMareaMofMaMsquareMisMAM=MwIM(wM=Mwidth,M=Mlength).MIfMaM
squareMroomMmeasuresM12-Mfeet
onMeachMside,MhowMmanyMsquareMfeetM(sqMft)MofMcarpetingMwillMbeMneededMtoMco
mpletelyMcoverMtheMfloor?M-MAnswerM156M1/4MsqMft
OnMaMfinalMexam,MaMstudentMreceivedM96MproblemsMcorrectMoutMofMtheM120MtotalM
problems.MWhatMpercentageMofMtheMproblemsMdidMsheMgetMINCORRECT?M-
MAnswerM20%
AMmechanicMhasM4MlitersM(L)MofMoilMtoMfillMaMcarMthatMrequiresM4MquartsM(qt)MofM
oil.MGivenMthatM(1MqtM=M0.946ML),
whenMtheMengineMisMfilledMtoMcapacityMwithMoil,MhowMmuchMoil,MinMliters,MwillMnot
MbeMused?M-MAnswerM0.216ML
GivenMthatMoneMquartMequalsM0.946Mliters,MhowMmanyMlitersMareMinMaMseven-
quartMcontainerMifMitMisMonlyMhalf-wayMfull?M-MAnswerM3.3Mliters
, FactorM6x^2+x-12MintoMtwoMbinomialMterms.M-MAnswerM(2x+3)(3x-4)
AMrecipeMusingM1/3McupMofMsugarMforMeveryM4MeggsMisMtripled.MWhatMisMtheMratio
MofMcupsMofMsugarMtoMeggsMneeded?M-MAnswerM1:12
AMpainterMmixesMcolorsMtoMcreateMaMcustomMshadeMofMgreenMusingMaMratioMofM2Mp
artsMblueMtoM3MpartsMyellow.MIfMtheMpainterMwantsM30MouncesMofMtheMcustomMcolor
,MhowMmanyMouncesMofMyellowMpaintMshouldMbeMusedMtoMmaintainMtheMratio?M-
MAnswerM18
Given:
3MfeetM=M1Myard
3.281MfeetM=M1Mmeter
ApproximatelyMhowMmanyMmetersMisM2Myards?M-
MAnswerM1.829MisMtheMcorrectManswer.
StepM1:MConvertMyardsMtoMfeet:M2MyardsMXM3Mfeet/1Myard=6Mfeet
StepM2:MConvertMfeetMtoMmeters:
6MfeetMXM1Mmeter/3.281MfeetMisMapproximatelyM1.829Mmeters
WhatMisM1M3/5Msquared?M-MAnswerM2M14/25
Simplify:M3xM+M2yM-MxM-M3yM-MAnswerM2x-y
IfMaM=M3MandMbM=M6,MwhatMisMtheMvalueMofMbMtoMtheMaMpower?M-MAnswerM216
DuringMaMsale,MaMbookstoreMreducedMtheMpriceMbyM3/20MforMeachM$25.00Mbook.MWh
atMwasMtheMfinalMsaleMprice?M-MAnswerM$21.25
-374M-M(-715)M-MAnswerM341
AMstudentMreceivedMscoresMofM75,M60,M80,MandM88MonMfourMtests.MIfMallMtheMtests
MareMweighedMequally,MwhatMisMtheMstudent'sMaverageMonMtheMtestsMwhenMrounded
MtoMtheMnearestMwholeMnumber?M-MAnswerM76