ASVAB - ARITHMETIC REASONING MATHEMATICS KNOWLEDGE QUESTIONS WITH CORRECT ANSWERS

ASVAB - ARITHMETIC
REASONING/MATHEMATICS KNOWLEDGE
QUESTIONS WITH CORRECT ANSWERS
2024
JohnZboughtZaZcameraZonZsaleZthatZnormallyZcostsZ$160.ZIfZtheZpriceZwasZreducedZ20%ZduringZtheZsale,Zwh
atZwasZtheZsaleZpriceZofZtheZcamera?



(a)Z$120

(b)Z$124

(c)Z$128Z

(d)Z$140Z-ZcorrectZanswer-(c)Z$128



ThisZquestionZasksZyouZtoZdetermineZtheZsaleZpriceZofZaZcameraZthatZnormallyZsellsZatZ$160ZandZisZdiscount
edZ20%.ZToZsolve,ZdetermineZwhatZ20%ZofZ$160Zequals.ZRewriteZ20%ZasZaZdecimal.Z



20%Z=Z0.20.ZSoZ20%ZofZ$160Z=Z0.20ZxZ$160Z=Z$32.Z

TheZsaleZpriceZofZtheZcameraZwouldZbeZ$160Z-Z$32Z=Z$128,ZchoiceZ(c)



AZsubwayZcarZpassesZ3ZstationsZeveryZ10Zminutes.ZAtZthisZrate,ZhowZmanyZstationsZwillZitZpassZinZoneZhour?



(a)Z15

(b)Z18

(c)Z20

(d)Z30Z-ZcorrectZanswer-(b)Z18



First,ZsetZupZtheZrateZasZaZproportion,ZwhereZ(x)ZisZtheZnumberZofZstations.



3Zstations/10ZminutesZ=Z(x)Zstations/1Zhour

,Then,ZconvertZtheZunits.



3Zstations/10ZminutesZ=Z(x)Zstations/60Zminutes



CrossZmultiplyZandZsolveZforZ(x).



180Z=Z10(x)



18Z=Z(x)



OnZaZcertainZmap,Z3/4ZinchZrepresentsZoneZmile.ZWhatZdistance,ZinZmiles,ZisZpresentedZbyZ1Z3/4Zinches?Z



(a)Z1Z1/2Z

(b)Z2Z1/3

(c)Z2Z1/2Z

(d)Z5Z1/4Z-ZcorrectZanswer-(b)Z2Z1/3



InZthisZquestion,ZtheZratioZisZimplied:ZforZeveryZ3/4ZinchZofZmapZthereZisZ1ZrealZmile,ZsoZtheZratioZofZinchesZto
ZtheZmilesZtheyZrepresentZisZalwaysZ3/4ZtoZ1.ZTherefore,ZyouZcanZsetZupZtheZproportion:Z




numberZofZinches/ZnumberZofZmilesZ=Z3/4Z/Z1Z=Z3/4



NowZ1Z3/4ZinchesZ=Z7/4Zinches.



SetZupZaZproportion:Z



7/4Zinches



7/4ZinchesZ/ZnumberZofZmilesZ=Z3/4

,Cross-multiply:Z



7/4(4)Z=Z3Z(numberZofZmiles)



7=Z3(numberZofZmiles)



7/3Z=ZnumberZofZmilesZorZ2Z1/3Z=ZnumberZofZmiles



AZcertainZboxZcontainsZbaseballsZandZgolfZballs.ZIfZtheZratioZofZbaseballsZtoZgolfZballsZisZ2:3ZandZthereZareZ30Z
baseballsZinZtheZbox,ZhowZmanyZgolfZballsZareZinZtheZbox?



(a)Z18

(b)Z20

(c)Z36

(d)Z45Z-ZcorrectZanswer-(d)Z45



YouZcanZexpressZtheZratioZofZbaseballsZtoZgolfZballsZasZ2/3.ZSinceZyouZknowZtheZnumberZofZbaseballs,ZyouZca
nZsetZupZaZproportion:Z2/3Z=Z30/Z(x)ZwhereZ(x)ZisZtheZnumberZofZgolfZballs.ZToZsolve,Zcross-
multiplyZtoZgetZ2(x)Z=Z90,ZorZxZ=Z45.



FourZpeopleZsharedZaZtaxiZtoZtheZairport.ZTheZfareZwasZ$36.00,ZandZtheyZgaveZtheZdriverZaZtipZequalZtoZ25%Z
ofZtheZfare.ZIfZtheyZequallyZsharedZtheZcostZofZtheZfareZandZtip,ZhowZmuchZdidZeachZpersonZpay?Z



(a)Z$9.75

(b)Z$10.25

(c)Z$10.75

(d)Z$11.25Z-ZcorrectZanswer-(d)Z$11.25

, TheZtotalZcostZofZtheZtaxiZrideZequalsZ$36Z+Z(25%ZofZ$36),ZorZ$36Z+Z(.25ZxZ$36)Z=Z$36Z+Z$9Z=Z$45.ZIfZfourZpeop
leZsplitZtheZcostZequally,ZthenZeachZpersonZpaidZ$45/4,ZorZ$11.25Zeach.



IfZaZcarZtravelsZ1/100ZofZaZkilometerZeachZsecond,ZhowZmanyZkilometersZdoesZitZtravelZinZanZhour?



(a)Z36

(b)Z60Z

(c)Z72

(d)Z100Z-ZcorrectZanswer-(a)Z36



FindZtheZnumberZofZsecondsZinZanZhourZandZthenZmultiplyZthisZbyZtheZdistanceZtheZcarZisZtravelingZeachZsec
ond.ZThereZareZ60ZsecondsZinZaZminuteZandZ60ZminuteZinZoneZhour;Ztherefore,ZthereZareZ60ZxZ60,ZorZ3,600,Z
secondsZinZanZhour.ZInZoneZsecondZtheZcarZtravelsZ1/100Zkilometers;ZinZoneZhourZtheZcarZwillZtravelZ3,600ZxZ
1/100ZorZ36Zkilometers.



20Z-Z(-5)Z=Z__.Z



(a)Z-25

(b)Z25

(c)Z15

(d)Z-15Z-ZcorrectZanswer-(b)Z25



SubtractingZaZnegativeZnumberZisZtheZsameZasZaddition,ZsoZ20Z-Z(-5)ZisZreallyZ20Z+Z5Z=Z25.



Ms.ZSmithZdroveZaZtotalZofZ700ZmilesZonZaZbusinessZtrip.ZIfZherZcarZaveragedZ35ZmilesZperZgallonZofZgasolineZ
andZgasolineZcostZ$1.25ZperZgallon,ZwhatZwasZtheZcostZinZdollarsZofZtheZgasolineZforZtheZtrip?Z



(a)Z$20.00

(b)Z$Z24.00

(c)Z$Z25.00