ABCTE Practice Test Questions and
Answers Updated 2026
WhileBcountingBpencils,BaBkindergartenerBoccasionallyBfumblesBwithBaBpencilBandBherBcountin
gBgetsBoffBtrack.BTheBstudentBisBdemonstratingBanBinabilityBtoBdoBwhichBofBtheBfollowing?B-
BAnswerRationalBcounting
LeaningBaBstraightBboardBagainstBaBwallBthatBisBperpendicularBtoBtheBfloorBwillBresultBinBaBc
reationBofBwhichBtypeBofBtriangle?B-BAnswerRight
WhichBofBtheBfollowingBwouldBbeBnextBgroupBinBtheBseries:Babt,Bbcu,Bcdv,Bdew...?B-
BAnswerefx
WhichBofBtheBfollowingBstatementsBwouldByouBuseBtoBfindBtheBperimeterBofBaBsquareBforBw
hichBs=16B-BAnswer4s
WhichBofBtheBfollowingBtoolsBisBusedBtoBdrawBarcsBandBcirclesBinBvaryingBradii?B-
BAnswerCompass
TheBbestBwayBofBpresentingBanBannualBbudgetBwouldBbeBaB_____.B-BAnswerPieBchart
AnBeconomicBshockBsentBtheBpriceBofBaBbarrelBofBoilBupB450%.BHowBwouldBthisBamountBbe
BrepresentedBinBdecimalBform?B-BAnswer4.5
SimplifyBtheBexpression:B7(5+2)-5B-BAnswer44
IdentifyBtheBfollowingBnotion:Bn!B-BAnswerFactorial
Paula'sBpoolsBoffersBaBchildren'sBpartyBpackageBforB$50BplusB$1.75BperBchild.BDevin'sBdunksal
otBalsoBoffersBpoolBparties,BbutBchargesB$36BplusB$2.35BperBchild.BAtBwhichBpriceBcanBtheBs
ameBnumberBofBchildrenBgoBtoBeitherBplace?B-BAnswer$93.75
WhichBofBtheBfollowingBwouldBbeBtheBfirstBstepBinBteachingB4thBgradeBstudentsBhowBtoBcalc
ulateBtheBareaBofBaBrectangle?B-BAnswerDefineB"area"
, GivenBanBinitialBpositionBofB13BonBaBnumberBline,BwhatBisBtheBfinalBpositionBonceB-2,B-
3,BandB-8BareBadded?B-BAnswerOnBaBwholeBnumber
WhatBisBaBvalueBofBanBacuteBangle?B-BAnswerUnderB90Bdegrees
IfBtwoBofBtheBanglesBinBaBtriangleBareB40BdegreesBandB50Bdegrees,BhowBcouldByouBdetermi
neBtheBmeasurementBofBaBthirdBangle?B-BAnswerSubtractB90BfromB180
WhichBunitBofBmeasurementBwouldByouBmostBlikelyBuseBtoBweighBaBgrape?B-BAnswerGrams
WhatBrelevantBinformationBisBmissingBfromBtheBproblem?B
BuckBhasB48BmilesBtoBgoBtoBgetBbackBtoBBakersfield,BbutBheBhasBonlyBgotB3BgallonsBofBgas
Bleft.BWillBheBmakeBit?B-BAnswerMilesBperBgallon
WhichBofBtheBfollowingBisBanBinappropriateBuseBofBcalculatorsBinBteachingBelementaryBmath?
B-BAnswerIncreasingBfluencyBduringBaBsubtractionBdrill
InBhowBmanyBdifferentBwaysBcanB5BbooksBbeBarrangedBonBaBshelf?B-BAnswer120
JulianBpurchasedBaBbrandBnewBplasmBtvBatBaBlocalBentertainmentBstoreBforB$2,731.BLaterBth
atBweek,BJulianBfeltBquiteBproudBwhenBheBsawBtheBsameBplasmaBtvBatBanotherBstoreBforB$3
,275.BWhatBisBtheBbestBestimateBforBtheBamountBofBmoneyBJulianBsavedBwhenBheBboughtBh
isBplasmaBtv?B-BAnswer$600
SolveBforBm:BI6mI-2=40B-BAnswerm=7BorBm=-7
WhichBofBtheBequationBbelowBisBtheBequationBforBaBlineBthatBisBparallelBtoBtheBx-axis?B-
BAnswery=2
MichaelBgoesBtoBcampBforB4Bweeks.BHeBhasB$60BtoBspendBatBtheBcampBstore.BWhatBexpres
sionBcanBMichaelBuseBtoBfigureBoutBhowBmuchBmoneyBheBwillBhaveBleftBatBtheBendBofBcam
pBifBheBonlyBspendsB$12BaBweek?B-BAnswer60-(12BxB4)
Answers Updated 2026
WhileBcountingBpencils,BaBkindergartenerBoccasionallyBfumblesBwithBaBpencilBandBherBcountin
gBgetsBoffBtrack.BTheBstudentBisBdemonstratingBanBinabilityBtoBdoBwhichBofBtheBfollowing?B-
BAnswerRationalBcounting
LeaningBaBstraightBboardBagainstBaBwallBthatBisBperpendicularBtoBtheBfloorBwillBresultBinBaBc
reationBofBwhichBtypeBofBtriangle?B-BAnswerRight
WhichBofBtheBfollowingBwouldBbeBnextBgroupBinBtheBseries:Babt,Bbcu,Bcdv,Bdew...?B-
BAnswerefx
WhichBofBtheBfollowingBstatementsBwouldByouBuseBtoBfindBtheBperimeterBofBaBsquareBforBw
hichBs=16B-BAnswer4s
WhichBofBtheBfollowingBtoolsBisBusedBtoBdrawBarcsBandBcirclesBinBvaryingBradii?B-
BAnswerCompass
TheBbestBwayBofBpresentingBanBannualBbudgetBwouldBbeBaB_____.B-BAnswerPieBchart
AnBeconomicBshockBsentBtheBpriceBofBaBbarrelBofBoilBupB450%.BHowBwouldBthisBamountBbe
BrepresentedBinBdecimalBform?B-BAnswer4.5
SimplifyBtheBexpression:B7(5+2)-5B-BAnswer44
IdentifyBtheBfollowingBnotion:Bn!B-BAnswerFactorial
Paula'sBpoolsBoffersBaBchildren'sBpartyBpackageBforB$50BplusB$1.75BperBchild.BDevin'sBdunksal
otBalsoBoffersBpoolBparties,BbutBchargesB$36BplusB$2.35BperBchild.BAtBwhichBpriceBcanBtheBs
ameBnumberBofBchildrenBgoBtoBeitherBplace?B-BAnswer$93.75
WhichBofBtheBfollowingBwouldBbeBtheBfirstBstepBinBteachingB4thBgradeBstudentsBhowBtoBcalc
ulateBtheBareaBofBaBrectangle?B-BAnswerDefineB"area"
, GivenBanBinitialBpositionBofB13BonBaBnumberBline,BwhatBisBtheBfinalBpositionBonceB-2,B-
3,BandB-8BareBadded?B-BAnswerOnBaBwholeBnumber
WhatBisBaBvalueBofBanBacuteBangle?B-BAnswerUnderB90Bdegrees
IfBtwoBofBtheBanglesBinBaBtriangleBareB40BdegreesBandB50Bdegrees,BhowBcouldByouBdetermi
neBtheBmeasurementBofBaBthirdBangle?B-BAnswerSubtractB90BfromB180
WhichBunitBofBmeasurementBwouldByouBmostBlikelyBuseBtoBweighBaBgrape?B-BAnswerGrams
WhatBrelevantBinformationBisBmissingBfromBtheBproblem?B
BuckBhasB48BmilesBtoBgoBtoBgetBbackBtoBBakersfield,BbutBheBhasBonlyBgotB3BgallonsBofBgas
Bleft.BWillBheBmakeBit?B-BAnswerMilesBperBgallon
WhichBofBtheBfollowingBisBanBinappropriateBuseBofBcalculatorsBinBteachingBelementaryBmath?
B-BAnswerIncreasingBfluencyBduringBaBsubtractionBdrill
InBhowBmanyBdifferentBwaysBcanB5BbooksBbeBarrangedBonBaBshelf?B-BAnswer120
JulianBpurchasedBaBbrandBnewBplasmBtvBatBaBlocalBentertainmentBstoreBforB$2,731.BLaterBth
atBweek,BJulianBfeltBquiteBproudBwhenBheBsawBtheBsameBplasmaBtvBatBanotherBstoreBforB$3
,275.BWhatBisBtheBbestBestimateBforBtheBamountBofBmoneyBJulianBsavedBwhenBheBboughtBh
isBplasmaBtv?B-BAnswer$600
SolveBforBm:BI6mI-2=40B-BAnswerm=7BorBm=-7
WhichBofBtheBequationBbelowBisBtheBequationBforBaBlineBthatBisBparallelBtoBtheBx-axis?B-
BAnswery=2
MichaelBgoesBtoBcampBforB4Bweeks.BHeBhasB$60BtoBspendBatBtheBcampBstore.BWhatBexpres
sionBcanBMichaelBuseBtoBfigureBoutBhowBmuchBmoneyBheBwillBhaveBleftBatBtheBendBofBcam
pBifBheBonlyBspendsB$12BaBweek?B-BAnswer60-(12BxB4)
