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ACT PRACTICE MATH PORTION TEST WITH ALL ANSWERS
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ACT PRACTICE MATH PORTION TEST WITH ALL ANSWERS
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ACT PRACTICE MATHPORTION 2024-2025 TEST
WITH ALL ANSWERS
Accarcaveragesc27cmilescpercgallon.cIfcgasccostsc$4.04cpercgallon,cwhichcofcthecfollo
wingciscclosestctochowcmuchcthecgascwouldccostcforcthisccarctoctravelc2,727ctypicalc
miles?c-ccorrectcanswer-$408.04
Whencxc=c3candcyc=c5,cbychowcmuchcdoescthecvaluecofc3x^2c-
c2ycexceedcthecvaluecofc2x^2c-c3yc?c-ccorrectcanswer-14
Whatciscthecvaluecofcxcwhenc2xc+c3c=c3xc-c4c?c-ccorrectcanswer-7
Whatciscthecgreatestccommoncfactorcofc42,c126,candc210c?c-ccorrectcanswer-42
Salescforcacbusinesscwerec3cmillioncdollarscmorecthecsecondcyearcthancthecfirst,cand
csalescforcthecthirdcyearcwerecdoublecthecsalescforcthecsecondcyear.cIfcsalescforcthect
hirdcyearcwerec38cmillioncdollars,cwhatcwerecsales,cincmillionscofcdollars,cforcthecfirstc
year?c-ccorrectcanswer-16
Incthecfigurecbelow,craycwascconstructedcstartingcfromcrayscandc.cBycusingcaccompa
sscDcandcGcwerecmarkedcequidistantcfromcEconcrayscandc.cTheccompasscwascthenc
usedctoclocatecacpointcF,cdistinctcfromcE,csocthatcFciscequidistantcfromcDcandcG.cForc
allcconstructionscdefinedcbycthecabovecsteps,cthecmeasurescofc∠DEFcandc∠GEF:c-
ccorrectcanswer-arecequal.
Abandonedcminescfrequentlycfillcwithcwater.cBeforecancabandonedcmineccancbecreop
ened,cthecwatercmustcbecpumpedcout.cThecsizecofcpumpcrequiredcdependsconcthecd
epthcofcthecmine.cIfcpumpingcoutcacminecthatciscDcfeetcdeepcrequirescacpumpcthatcpu
, mpscacminimumcofc+c4Dc-
c250cgallonscpercminute,cpumpingcoutcacminecthatcisc150cfeetcdeepcwouldcrequirecac
pumpcthatcpumpscacminimumcofchowcmanycgallonscpercminute?c-ccorrectcanswer-
1,250
Theclength,cincinches,cofcacboxcisc3cinchesclesscthanctwicecitscwidth,cincinches.cWhic
hcofcthecfollowingcgivesctheclength,clcinches,cinctermscofcthecwidth,cwcinches,cofcthecb
ox?c-ccorrectcanswer-lc=c2wc-c3
IncquadrilateralcPQRScbelow,csidescPScandcQRcarecparallelcforcwhatcvaluecofcxc?c-
ccorrectcanswer-110
Howcmanycirrationalcnumberscarectherecbetweenc1candc6c?c-ccorrectcanswer-
Infinitelycmany
Actypicalchighcschoolcstudentcconsumesc67.5cpoundscofcsugarcpercyear.cAscpartcofc
acnewcnutritioncplan,ceachcmembercofcactrackcteamcplansctoclowercthecsugarchecorcs
hecconsumescbycatcleastc20%cforctheccomingcyear.cAssumingceachctrackcmemberch
adcconsumedcsugarcatctheclevelcofcactypicalchighcschoolcstudentcandcwillcadherectoct
hiscplancforctheccomingcyear,cwhatciscthecmaximumcnumbercofcpoundscofcsugarctocb
ecconsumedcbyceachctrackcteamcmembercinctheccomingcyear?c-ccorrectcanswer-54
Incthecstandardc(x,y)ccoordinatecplanecbelow,c3cofcthecverticescofcacrectanglecarecsh
own.cWhichcofcthecfollowingciscthec4thcvertexcofcthecrectangle?c-ccorrectcanswer-(3,-
7)
Thecleadcofcacscrewciscthecdistancecthatcthecscrewcadvancescincacstraightclinecwhen
cthecscrewciscturnedc1ccompletecturn.cIfcacscrewcisc2cinchesclongcandchascacleadcofci
nch,chowcmanyccompletecturnscwouldcgetcitcallcthecwaycintocacpiececofcwood?c-
ccorrectcanswer-20
Ifcxyc=c144,cxc+cyc=c30,candcxc>cy,cwhatciscthecvaluecofcxc-cyc?c-ccorrectcanswer-18
WhichcofcthecfollowingciscthecsinecofcanglecAcincthecrightctrianglecbelow?c-
ccorrectcanswer-12/13
Ding'scDinercadvertisedcthiscdailyclunchcspecial:c"Choosec1citemcfromceachccolumn
—
onlyc$4.95!"cThus,ceachcdailyclunchcspecialcconsistscofcacsalad,cacsoup,cacsandwich,
candcacdrink.
Salads,Soups,Sandwiches,Drinks,colecslaw,lettuce,potato,onion,tomato,meat cloaf,ch
icken,hamburger,ham,tenderloin,milk,cola,coffee,tea
Howcmanycdifferentcdailyclunchcspecialscarecpossible?c-ccorrectcanswer-120
Thecvolume,cV,cofcthecrightccircularcconecwithcradiuscrcandcheightch,cshowncbelow,cc
ancbecfoundcusingcthecformulacVc=crc2h.cAccone-
shapedcpaperccupchascacvolumecofc142ccubicccentimeterscandcacheightcofc8.5ccenti
meters.cWhatciscthecradius,ctocthecnearestccentimeter,cofcthecpaperccup?c-
ccorrectcanswer-4
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