PAX Math - Spring 2026 Questions
and Answers
lessMthanM90MdegreesM-MAnswerMAnMacuteMangleMisMbestMdefinedMasMoneMthatMis
IfMaMhospitalMequipmentMsalespersonMreceiveMaM12%Mcommission,MhowMmuchMcommi
ssionMisMpaidMwhenM$16,000MworthMofMequipmentMisMsold?M-MAnswerM$1,920.00
(16,000MxM.12M=M$1,920.00)
WhatMisMtheMareaMofMaMrectangleMthatMisM4MfeetMwideMandM9MfeetMlong?M-
MAnswerM36MsquareMfeet
(Formula:MAreaM=MLMxMW
A=9MfeetMxM4Mfeet
A=36)
OneMkilometerM(kmMequalsM0.6Mmiles.MHowMmanyMmilesMequalM2.75Mkm?M-
MAnswerMANSWER:M1.65Mmiles
(2.75MkmMxM(0.6Mmile/M1Mkm)M=M1.65Mmile)
Solve:M8M[7-3(12-2)/5]M-MAnswerMANSWER:M8
(Explanation:
8[7-3(10)/M5]
8[7-30/5]
8[7-6)]
8[1]
=M 8
,)
IfMa=3MandMb=6,MwhatMisMtheMvalueMofMbMtoMtheMaMpower?M-MAnswerM6^3
(6x6x6=M216)
IfM1MkilogramM(kg)MequalsM2.2MpoundsM(lbs),MhowMmanyMkgMareMthereMinM130Mlbs
?M(ToMtheMnearestMtenthMoMfaMkg)M-MAnswerM59.1Mkg
(130MlbMxM(1Mkg/M2.2Mlb)M=M59.0909M==>M59.1Mkg)
HowMmuchMsimpleMinterestMwillMbeMpaidMonMaM$500MloanMforM1MyearMifMtheMan
nualMinterestMrateMisM6%?M-MAnswerM$30
(500MxM.06=M30)
TheMdosageMofMaMcertainMmedicationMisMdeterminedMbyMaMpatient'sMbodyMweight.M
ThisMmedication'sMdosageMisM2.5MmgMperMkilogramMofMbodyMweight.MWhatMwouldM
beMtheMdoseMforMaMpatientMwhoMweighsM72Mpounds?M
(1M1bM=M0.453Mkg)
(DosesMareMroundedMtoMtheMnearestM25mg.)M-MAnswerM75Mmg
(FORMULA:
STEP1:M72MlbMxM0.453Mkg=M32.616Mkg
STEP2:M32.616MkgMxM(2.5MmgM/M1Mkg)M=M81.54
nearestM25MmgMtoM81.54MisM75Mmg.MNextMwouldMbeM100MandMthat'sMtooMhigh)
OfM60MpatientsMtreatedMwithMaMcertainMmedication,M24MshowedMnoMimprovement.M
, WhatMpercentMofMpatientsMimproved?M-MAnswerM60%
(step1:M60-24=36
step:2M36/60M=M0.60MxM100M=M60M%)
TheMconcentrationMofMallergensMinManMexperimentalMsampleMofMairMisMoneMpartMpe
rMbillionM(PPB).MWhichMofMtheseMmathematicalMnotationsMrepresentMthisMconcentration
?M-MAnswerM1.0x10^-9M
(9M0'sMinMbillion)
AM2-
dayMautomobileMtripMofM880MmilesMisMplanned.MHalfMofMthisMdistanceMisMtoMbeMtr
aveledMeachMdayMatM55MmilesMperMhour.MHowMmanyMhoursMwillMbeMdrivenMeachM
day?M(D=RT)M-MAnswerMANSWER:M8M
(T=880/55M=M16Mhours
16MhoursM/M2MdaysM=M8Mhours.)
ZeroMcanMneverMbeMusedMasMaM
A.Mdividend
B.Mmultiplicand
C.Mdivisor
D.MquotientM-MAnswerMdivisor
DorseyMhasM3M3/5Mpies,MwhichMheMwantsMtoMsplitMevenlyMamongM6Mpeople.MHow
MmuchMofMaMpieMshouldMeachMpersonMget?
A.M3/10M
B.M1/2
and Answers
lessMthanM90MdegreesM-MAnswerMAnMacuteMangleMisMbestMdefinedMasMoneMthatMis
IfMaMhospitalMequipmentMsalespersonMreceiveMaM12%Mcommission,MhowMmuchMcommi
ssionMisMpaidMwhenM$16,000MworthMofMequipmentMisMsold?M-MAnswerM$1,920.00
(16,000MxM.12M=M$1,920.00)
WhatMisMtheMareaMofMaMrectangleMthatMisM4MfeetMwideMandM9MfeetMlong?M-
MAnswerM36MsquareMfeet
(Formula:MAreaM=MLMxMW
A=9MfeetMxM4Mfeet
A=36)
OneMkilometerM(kmMequalsM0.6Mmiles.MHowMmanyMmilesMequalM2.75Mkm?M-
MAnswerMANSWER:M1.65Mmiles
(2.75MkmMxM(0.6Mmile/M1Mkm)M=M1.65Mmile)
Solve:M8M[7-3(12-2)/5]M-MAnswerMANSWER:M8
(Explanation:
8[7-3(10)/M5]
8[7-30/5]
8[7-6)]
8[1]
=M 8
,)
IfMa=3MandMb=6,MwhatMisMtheMvalueMofMbMtoMtheMaMpower?M-MAnswerM6^3
(6x6x6=M216)
IfM1MkilogramM(kg)MequalsM2.2MpoundsM(lbs),MhowMmanyMkgMareMthereMinM130Mlbs
?M(ToMtheMnearestMtenthMoMfaMkg)M-MAnswerM59.1Mkg
(130MlbMxM(1Mkg/M2.2Mlb)M=M59.0909M==>M59.1Mkg)
HowMmuchMsimpleMinterestMwillMbeMpaidMonMaM$500MloanMforM1MyearMifMtheMan
nualMinterestMrateMisM6%?M-MAnswerM$30
(500MxM.06=M30)
TheMdosageMofMaMcertainMmedicationMisMdeterminedMbyMaMpatient'sMbodyMweight.M
ThisMmedication'sMdosageMisM2.5MmgMperMkilogramMofMbodyMweight.MWhatMwouldM
beMtheMdoseMforMaMpatientMwhoMweighsM72Mpounds?M
(1M1bM=M0.453Mkg)
(DosesMareMroundedMtoMtheMnearestM25mg.)M-MAnswerM75Mmg
(FORMULA:
STEP1:M72MlbMxM0.453Mkg=M32.616Mkg
STEP2:M32.616MkgMxM(2.5MmgM/M1Mkg)M=M81.54
nearestM25MmgMtoM81.54MisM75Mmg.MNextMwouldMbeM100MandMthat'sMtooMhigh)
OfM60MpatientsMtreatedMwithMaMcertainMmedication,M24MshowedMnoMimprovement.M
, WhatMpercentMofMpatientsMimproved?M-MAnswerM60%
(step1:M60-24=36
step:2M36/60M=M0.60MxM100M=M60M%)
TheMconcentrationMofMallergensMinManMexperimentalMsampleMofMairMisMoneMpartMpe
rMbillionM(PPB).MWhichMofMtheseMmathematicalMnotationsMrepresentMthisMconcentration
?M-MAnswerM1.0x10^-9M
(9M0'sMinMbillion)
AM2-
dayMautomobileMtripMofM880MmilesMisMplanned.MHalfMofMthisMdistanceMisMtoMbeMtr
aveledMeachMdayMatM55MmilesMperMhour.MHowMmanyMhoursMwillMbeMdrivenMeachM
day?M(D=RT)M-MAnswerMANSWER:M8M
(T=880/55M=M16Mhours
16MhoursM/M2MdaysM=M8Mhours.)
ZeroMcanMneverMbeMusedMasMaM
A.Mdividend
B.Mmultiplicand
C.Mdivisor
D.MquotientM-MAnswerMdivisor
DorseyMhasM3M3/5Mpies,MwhichMheMwantsMtoMsplitMevenlyMamongM6Mpeople.MHow
MmuchMofMaMpieMshouldMeachMpersonMget?
A.M3/10M
B.M1/2
