ASVAB (ARITHMETIC REASONING
PRACTICE QUESTIONS) WITH A+
GRADED ANSWERS
ThisTquestionTasksTyouTtoTdetermineTtheTsaleTpriceTofTaTcameraTthatTnormallyTsellsTatT$160TandTisTdiscount
edT20%.TToTsolve,TdetermineTwhatT20%TofT$160Tequals.TRewriteT20%TasTaTdecimal.T
20%T=T0.20.TSoT20%TofT$160T=T0.20TxT$160T=T$32.T
TheTsaleTpriceTofTtheTcameraTwouldTbeT$160T-T$32T=T$128,TchoiceT(c)T-TcorrectTanswer-
JohnTboughtTaTcameraTonTsaleTthatTnormallyTcostsT$160.TIfTtheTpriceTwasTreducedT20%TduringTtheTsale,Twh
atTwasTtheTsaleTpriceTofTtheTcamera?
(a)T$120
(b)T$124
(c)T$128T
(d)T$140
(b)T18
First,TsetTupTtheTrateTasTaTproportion,TwhereT(x)TisTtheTnumberTofTstations.
3Tstations/10TminutesT=T(x)Tstations/1Thour
Then,TconvertTtheTunits.
3Tstations/10TminutesT=T(x)Tstations/60Tminutes
CrossTmultiplyTandTsolveTforT(x).
,180T=T10(x)
18T=T(x)T-TcorrectTanswer-
ATsubwayTcarTpassesT3TstationsTeveryT10Tminutes.TAtTthisTrate,ThowTmanyTstationsTwillTitTpassTinToneThour?
(a)T15
(b)T18
(c)T20
(d)T30
(b)T2T1/3
InTthisTquestion,TtheTratioTisTimplied:TforTeveryT3/4TinchTofTmapTthereTisT1TrealTmile,TsoTtheTratioTofTinchesTt
oTtheTmilesTtheyTrepresentTisTalwaysT3/4TtoT1.TTherefore,TyouTcanTsetTupTtheTproportion:T
numberTofTinches/TnumberTofTmilesT=T3/4T/T1T=T3/4
NowT1T3/4TinchesT=T7/4Tinches.
SetTupTaTproportion:T
7/4Tinches
7/4TinchesT/TnumberTofTmilesT=T3/4
Cross-multiply:T
7/4(4)T=T3T(numberTofTmiles)
, 7=T3(numberTofTmiles)
7/3T=TnumberTofTmilesTorT2T1/3T=TnumberTofTmilesT-TcorrectTanswer-
OnTaTcertainTmap,T3/4TinchTrepresentsToneTmile.TWhatTdistance,TinTmiles,TisTpresentedTbyT1T3/4Tinches?T
(a)T1T1/2T
(b)T2T1/3
(c)T2T1/2T
(d)T5T1/4
(d)T45
YouTcanTexpressTtheTratioTofTbaseballsTtoTgolfTballsTasT2/3.TSinceTyouTknowTtheTnumberTofTbaseballs,TyouTc
anTsetTupTaTproportion:T2/3T=T30/T(x)TwhereT(x)TisTtheTnumberTofTgolfTballs.TToTsolve,Tcross-
multiplyTtoTgetT2(x)T=T90,TorTxT=T45.T-TcorrectTanswer-
ATcertainTboxTcontainsTbaseballsTandTgolfTballs.TIfTtheTratioTofTbaseballsTtoTgolfTballsTisT2:3TandTthereTareT30
TbaseballsTinTtheTbox,ThowTmanyTgolfTballsTareTinTtheTbox?
(a)T18
(b)T20
(c)T36
(d)T45
(d)T$11.25
TheTtotalTcostTofTtheTtaxiTrideTequalsT$36T+T(25%TofT$36),TorT$36T+T(.25TxT$36)T=T$36T+T$9T=T$45.TIfTfourTpeo
pleTsplitTtheTcostTequally,TthenTeachTpersonTpaidT$45/4,TorT$11.25Teach.T-TcorrectTanswer-
FourTpeopleTsharedTaTtaxiTtoTtheTairport.TTheTfareTwasT$36.00,TandTtheyTgaveTtheTdriverTaTtipTequalTtoT25%T
ofTtheTfare.TIfTtheyTequallyTsharedTtheTcostTofTtheTfareTandTtip,ThowTmuchTdidTeachTpersonTpay?T
(a)T$9.75
(b)T$10.25
PRACTICE QUESTIONS) WITH A+
GRADED ANSWERS
ThisTquestionTasksTyouTtoTdetermineTtheTsaleTpriceTofTaTcameraTthatTnormallyTsellsTatT$160TandTisTdiscount
edT20%.TToTsolve,TdetermineTwhatT20%TofT$160Tequals.TRewriteT20%TasTaTdecimal.T
20%T=T0.20.TSoT20%TofT$160T=T0.20TxT$160T=T$32.T
TheTsaleTpriceTofTtheTcameraTwouldTbeT$160T-T$32T=T$128,TchoiceT(c)T-TcorrectTanswer-
JohnTboughtTaTcameraTonTsaleTthatTnormallyTcostsT$160.TIfTtheTpriceTwasTreducedT20%TduringTtheTsale,Twh
atTwasTtheTsaleTpriceTofTtheTcamera?
(a)T$120
(b)T$124
(c)T$128T
(d)T$140
(b)T18
First,TsetTupTtheTrateTasTaTproportion,TwhereT(x)TisTtheTnumberTofTstations.
3Tstations/10TminutesT=T(x)Tstations/1Thour
Then,TconvertTtheTunits.
3Tstations/10TminutesT=T(x)Tstations/60Tminutes
CrossTmultiplyTandTsolveTforT(x).
,180T=T10(x)
18T=T(x)T-TcorrectTanswer-
ATsubwayTcarTpassesT3TstationsTeveryT10Tminutes.TAtTthisTrate,ThowTmanyTstationsTwillTitTpassTinToneThour?
(a)T15
(b)T18
(c)T20
(d)T30
(b)T2T1/3
InTthisTquestion,TtheTratioTisTimplied:TforTeveryT3/4TinchTofTmapTthereTisT1TrealTmile,TsoTtheTratioTofTinchesTt
oTtheTmilesTtheyTrepresentTisTalwaysT3/4TtoT1.TTherefore,TyouTcanTsetTupTtheTproportion:T
numberTofTinches/TnumberTofTmilesT=T3/4T/T1T=T3/4
NowT1T3/4TinchesT=T7/4Tinches.
SetTupTaTproportion:T
7/4Tinches
7/4TinchesT/TnumberTofTmilesT=T3/4
Cross-multiply:T
7/4(4)T=T3T(numberTofTmiles)
, 7=T3(numberTofTmiles)
7/3T=TnumberTofTmilesTorT2T1/3T=TnumberTofTmilesT-TcorrectTanswer-
OnTaTcertainTmap,T3/4TinchTrepresentsToneTmile.TWhatTdistance,TinTmiles,TisTpresentedTbyT1T3/4Tinches?T
(a)T1T1/2T
(b)T2T1/3
(c)T2T1/2T
(d)T5T1/4
(d)T45
YouTcanTexpressTtheTratioTofTbaseballsTtoTgolfTballsTasT2/3.TSinceTyouTknowTtheTnumberTofTbaseballs,TyouTc
anTsetTupTaTproportion:T2/3T=T30/T(x)TwhereT(x)TisTtheTnumberTofTgolfTballs.TToTsolve,Tcross-
multiplyTtoTgetT2(x)T=T90,TorTxT=T45.T-TcorrectTanswer-
ATcertainTboxTcontainsTbaseballsTandTgolfTballs.TIfTtheTratioTofTbaseballsTtoTgolfTballsTisT2:3TandTthereTareT30
TbaseballsTinTtheTbox,ThowTmanyTgolfTballsTareTinTtheTbox?
(a)T18
(b)T20
(c)T36
(d)T45
(d)T$11.25
TheTtotalTcostTofTtheTtaxiTrideTequalsT$36T+T(25%TofT$36),TorT$36T+T(.25TxT$36)T=T$36T+T$9T=T$45.TIfTfourTpeo
pleTsplitTtheTcostTequally,TthenTeachTpersonTpaidT$45/4,TorT$11.25Teach.T-TcorrectTanswer-
FourTpeopleTsharedTaTtaxiTtoTtheTairport.TTheTfareTwasT$36.00,TandTtheyTgaveTtheTdriverTaTtipTequalTtoT25%T
ofTtheTfare.TIfTtheyTequallyTsharedTtheTcostTofTtheTfareTandTtip,ThowTmuchTdidTeachTpersonTpay?T
(a)T$9.75
(b)T$10.25
