1/4/24,N8:09NA ATINTEASNTESTNMathematics-withN100%NverifiedNsolutions-2023-
M 2024
ATI TEAS TEST MATHEMATICS-with
N N N
100% verified solutions-2023-2024
N N
WhichNofNtheNfollowingNisNtheNpercentageNequivalentNofN0.0016?
A.N16
B.N160
C.N1.6
D.N0.16N-
ND.N ToNderiveNaN percentageNfromN aNdecimal,N multiplyN byN 100:N0.0016(1
00)N=N0.16
CurtisNisNtakingNaNroadNtripNthroughNGermany,NwhereNallNdistanceNsignsNareNinNmet
ric.NHeNpassesNaNsignNthatNstatesNtheNcityNofNDusseldorfNisN45NkilometersNaway.NApp
roximatelyNhowNfarNisNthisNinNmiles?
A. 42Nmiles
B. 37Nmiles
C. 28Nmiles
D. 16NmilesN-
NC.N oneNkilometerNisNaboutN0.62N miles,N45(0.6
2)N=N27.9
approximatelyN28Nmiles
OnNaNfloorNplanNdrawnNatNaNscaleNofN1:100,NtheNareaNofNaNrectangularNroomNisN30N
cm2.NWhatNisNtheNactualNareaNofNtheNroom?
A.N30,000Ncm2
B.N300Nm2
C.N3,000Nm2
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,1/4/24,N8:09NA ATINTEASNTESTNMathematics-withN100%NverifiedNsolutions-2023-
M 2024
D.N30Nm2N-
ND.N SinceNthereNareN100N cmN inNaN meter,N onNaN 1:100NscaleNdrawing,N eachN centimete
rNrepresentsNoneNmeter.NTherefore,NanNareaNofNoneNsquareNcentimeterNonNtheNdrawi
ngNrepresentsNoneNsquareNmeterNtinNactuality.
-NSinceNtheNareaNofNtheNroomNinNtheNscaleNdrawingNisN30Ncm2,NtheNroom'sNactualNareaNisN30Nm2.
L/100NxNW/100N=N30Ncm2
lw/100N=N30Ncm2
NAreaN=N 300,000N c
m2
300,000Ncm2Nx.N1m/100NcmNxN1m/100NcmN=N30m2
MandyNcanNbuyN4NcontainersNofNyogurtNandN3NboxesNofNcrackersNforN$9.55.NSheNcan
NbuyN2NcontainersNofNyogurtNandN2NboxesNofNcrackersNforN$5.90.NHowN muchN doesN on
eNboxNofNcrackersNcost?
A.N$1.75
B.N$2.00
C.N$2.25
D.N$2.50N-NC.
TheNsituationNmayNbeNmodeledNbyNtheNsy
stem:N4xN+N3yN=N9.55
2xN+N2yN=N5.90
MultiplyingNtheNbottomNequationNbyN-N2Ngives:
4xN+N3yN=N9.55
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,1/4/24,N8:09NA ATINTEASNTESTNMathematics-withN100%NverifiedNsolutions-2023-
M 2024
-4xN-N4yN=N-11.80
AdditionNofNtheNtwoNequationsNgivesN-NyN=N-2.25NorNyN=N2.25.NThus,NoneNboxNofNcrackersNcosts
$2.25
9.55-11.80N=N-2.25
-yN=N-2.25
-y/-1N=N-2.25/-1
yN=N2.25
1.
THENNEXTNTWONQUESTIONSNARENBASEDNONNTHENFOLLOWINGNINFORMATION:
Pernell'sNscoresNonNherNlastNfiveNchemistryNexamsNwereN81,N92,N87,N89,NandN94.
WhatNisNtheNapproximateNaverageNofNherNscores?
A. 81
B. 84
C. 89
D. 91N-
NC.NToNfindNtheNaverageNofN Pernell'sNscores,NaddNthemNupNandNthenN divideN b
yNtheNnumberNofNscoresN(5NinNthisNcase).NInNotherNwords,
81N+N92N+N87N+N89N+N94N=N443
443/5N=N89
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, 1/4/24,N8:09NA ATINTEASNTESTNMathematics-withN100%NverifiedNsolutions-2023-
M 2024
2.
THENNEXTNQUESTIONSNARENBASEDNONNTHENFOLLOWINGNINFORMATION:
Pernell'sNscoresNonNherNlastNfiveNchemistryNexamsNwereN81,N92,N87,N89,NandN94.
WhatNisNtheNmediumNofNPernell'sNscores?
A. 87
B. 89
C. 92
D. 94N-NB.NToNfindNtheNmedian,NlistNtheNseriesNofNnumbersNformNleastNtoNgreatest.
TheNmiddleNnumberNrepresentsNtheNmedianN--
NinNthisNcaseN81,N87,N89,N92,N94.N TheN numberN89NisN inNtheN middle,NsoN i
tNisNtheNmedian.
GordonN purchasedN aN televisionN whenN hisN localN electronicsN storeN hadN aN sale.N TheN te
levisionNwasNofferedNatN30N offNitsNoriginalNpriceNofN$472.NWhatNwasNtheNsaleNpriceNt
hatN GordonNpaid?
A.N$141.60
B.N $225.70
C.N$305.30
D.N$330.40N-ND.NTheNtelevisionNisN30N offNitsNoriginalNpriceNofN$472.N30N ofN472NisN141.60.
(0.30)(472)N=N141.60
472N-N141.60N=N330.40
Thus,NGordonNpaidN$330.40NforNtheNtelevision.
SimplifyNtheNfollowingNexpressio
n:N(2/3)N/N(4/15)NXN(5/8)
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M 2024
ATI TEAS TEST MATHEMATICS-with
N N N
100% verified solutions-2023-2024
N N
WhichNofNtheNfollowingNisNtheNpercentageNequivalentNofN0.0016?
A.N16
B.N160
C.N1.6
D.N0.16N-
ND.N ToNderiveNaN percentageNfromN aNdecimal,N multiplyN byN 100:N0.0016(1
00)N=N0.16
CurtisNisNtakingNaNroadNtripNthroughNGermany,NwhereNallNdistanceNsignsNareNinNmet
ric.NHeNpassesNaNsignNthatNstatesNtheNcityNofNDusseldorfNisN45NkilometersNaway.NApp
roximatelyNhowNfarNisNthisNinNmiles?
A. 42Nmiles
B. 37Nmiles
C. 28Nmiles
D. 16NmilesN-
NC.N oneNkilometerNisNaboutN0.62N miles,N45(0.6
2)N=N27.9
approximatelyN28Nmiles
OnNaNfloorNplanNdrawnNatNaNscaleNofN1:100,NtheNareaNofNaNrectangularNroomNisN30N
cm2.NWhatNisNtheNactualNareaNofNtheNroom?
A.N30,000Ncm2
B.N300Nm2
C.N3,000Nm2
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,1/4/24,N8:09NA ATINTEASNTESTNMathematics-withN100%NverifiedNsolutions-2023-
M 2024
D.N30Nm2N-
ND.N SinceNthereNareN100N cmN inNaN meter,N onNaN 1:100NscaleNdrawing,N eachN centimete
rNrepresentsNoneNmeter.NTherefore,NanNareaNofNoneNsquareNcentimeterNonNtheNdrawi
ngNrepresentsNoneNsquareNmeterNtinNactuality.
-NSinceNtheNareaNofNtheNroomNinNtheNscaleNdrawingNisN30Ncm2,NtheNroom'sNactualNareaNisN30Nm2.
L/100NxNW/100N=N30Ncm2
lw/100N=N30Ncm2
NAreaN=N 300,000N c
m2
300,000Ncm2Nx.N1m/100NcmNxN1m/100NcmN=N30m2
MandyNcanNbuyN4NcontainersNofNyogurtNandN3NboxesNofNcrackersNforN$9.55.NSheNcan
NbuyN2NcontainersNofNyogurtNandN2NboxesNofNcrackersNforN$5.90.NHowN muchN doesN on
eNboxNofNcrackersNcost?
A.N$1.75
B.N$2.00
C.N$2.25
D.N$2.50N-NC.
TheNsituationNmayNbeNmodeledNbyNtheNsy
stem:N4xN+N3yN=N9.55
2xN+N2yN=N5.90
MultiplyingNtheNbottomNequationNbyN-N2Ngives:
4xN+N3yN=N9.55
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,1/4/24,N8:09NA ATINTEASNTESTNMathematics-withN100%NverifiedNsolutions-2023-
M 2024
-4xN-N4yN=N-11.80
AdditionNofNtheNtwoNequationsNgivesN-NyN=N-2.25NorNyN=N2.25.NThus,NoneNboxNofNcrackersNcosts
$2.25
9.55-11.80N=N-2.25
-yN=N-2.25
-y/-1N=N-2.25/-1
yN=N2.25
1.
THENNEXTNTWONQUESTIONSNARENBASEDNONNTHENFOLLOWINGNINFORMATION:
Pernell'sNscoresNonNherNlastNfiveNchemistryNexamsNwereN81,N92,N87,N89,NandN94.
WhatNisNtheNapproximateNaverageNofNherNscores?
A. 81
B. 84
C. 89
D. 91N-
NC.NToNfindNtheNaverageNofN Pernell'sNscores,NaddNthemNupNandNthenN divideN b
yNtheNnumberNofNscoresN(5NinNthisNcase).NInNotherNwords,
81N+N92N+N87N+N89N+N94N=N443
443/5N=N89
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, 1/4/24,N8:09NA ATINTEASNTESTNMathematics-withN100%NverifiedNsolutions-2023-
M 2024
2.
THENNEXTNQUESTIONSNARENBASEDNONNTHENFOLLOWINGNINFORMATION:
Pernell'sNscoresNonNherNlastNfiveNchemistryNexamsNwereN81,N92,N87,N89,NandN94.
WhatNisNtheNmediumNofNPernell'sNscores?
A. 87
B. 89
C. 92
D. 94N-NB.NToNfindNtheNmedian,NlistNtheNseriesNofNnumbersNformNleastNtoNgreatest.
TheNmiddleNnumberNrepresentsNtheNmedianN--
NinNthisNcaseN81,N87,N89,N92,N94.N TheN numberN89NisN inNtheN middle,NsoN i
tNisNtheNmedian.
GordonN purchasedN aN televisionN whenN hisN localN electronicsN storeN hadN aN sale.N TheN te
levisionNwasNofferedNatN30N offNitsNoriginalNpriceNofN$472.NWhatNwasNtheNsaleNpriceNt
hatN GordonNpaid?
A.N$141.60
B.N $225.70
C.N$305.30
D.N$330.40N-ND.NTheNtelevisionNisN30N offNitsNoriginalNpriceNofN$472.N30N ofN472NisN141.60.
(0.30)(472)N=N141.60
472N-N141.60N=N330.40
Thus,NGordonNpaidN$330.40NforNtheNtelevision.
SimplifyNtheNfollowingNexpressio
n:N(2/3)N/N(4/15)NXN(5/8)
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