Regents Prep Math A_ Multiple-Choice Question Archive
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Regents Prep : Math A Multiple-Choice Questions Use of Topical Archive MultipleChoice Questions Teachers: Feel free to copy and paste any of the multiplechoice questions below for use in creating your own Regentsstyle assessments. Graphics are easily downloaded by rightclicking on the desired image and selecting either Save Picture As... (Internet Explorer ) or Sav e Image As... (Netscape ). Mathematical Reasoning: Question 1 of 20 The statement "If x is divisible by 8, then it is divisible by 6" is false if x equals 1. 6 2. 14 3. 32 4. 48 Correct Answer Number: 3 Explanation: A sentence in "If....then..." form is called an implication. The only time when an implication is false is when the "If" part of the sentence is true and the "then" part of the sentence is false. The number 32 makes the first part of the statement true and the second part of the statement false. More Information Mathematical Reasoning: Question 2 of 20
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Transcript of Regents Prep Math A_ Multiple-Choice Question Archive
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RegentsPrep:MathA
Multiple-Choice QuestionsUseofTopicalArchiveMultipleChoiceQuestions
Teachers: FeelfreetocopyandpasteanyofthemultiplechoicequestionsbelowforuseincreatingyourownRegentsstyleassessments.
GraphicsareeasilydownloadedbyrightclickingonthedesiredimageandselectingeitherSavePictureAs...(InternetExplorer)orSaveImageAs...(Netscape).
MathematicalReasoning:Question1of20
Thestatement"Ifxisdivisibleby8,thenitisdivisibleby6"isfalseifxequals
1. 62. 143. 324. 48
CorrectAnswerNumber:3
Explanation:Asentencein"If....then..."formiscalledanimplication.Theonlytimewhenanimplicationisfalseiswhenthe"If"partofthesentenceistrueandthe"then"partofthesentenceisfalse.Thenumber32makesthefirstpartofthestatementtrueandthesecondpartofthestatementfalse.
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MathematicalReasoning:Question2of20
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Inaclassof50students,18takemusic,26takeart,and2takebothartandmusic.Howmanystudentsintheclassarenotenrolledineithermusicorart?
1. 62. 83. 164. 24
CorrectAnswerNumber:2
Explanation:DrawaVenndiagram(circles)torepresentthestudentstakingartandmusic.Thecircleswilloverlap.Thecircleforartcontains26students.Thecircleformusiccontains18students.Since2studentstakeBOTHartandmusic(place2intheareawherethecirclesoverlap),theremainderoftheartcirclecontains24studentsandtheremainderofthemusiccirclecontains16students.Addingallvalues(24+16+2)givesatotalof42students.Oftheclassof50students,8donottakeartormusic.
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MathematicalReasoning:Question3of20
Whatistrueaboutthestatement"Iftwoanglesarerightangles,theangleshaveequalmeasure"anditsconverse"Iftwoangleshaveequalmeasurethenthetwoanglesarerightangles"?
1. Thestatementistruebutitsconverseisfalse.2. Thestatementisfalsebutitsconverseistrue.3. Boththestatementanditsconversearefalse.4. Boththestatementanditsconversearetrue.
CorrectAnswerNumber:1
Explanation:Allrightangleshave90degrees,thereforetheyareallequalinmeasure.However,twoanglescanbeequalinmeasure(eachbeing30degrees),buttheyarenotnecessarilyrightangles.
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MathematicalReasoning:Question4of20
Marysays"ThenumberIamthinkingisdivisibleby2oritisdivisibleby3".ThisstatementisfalseifthenumberMaryisthinkingofis
1. 62. 83. 114. 15
CorrectAnswerNumber:3
Explanation:Thissentencecontainstheword"or"(disjunction).AdisjunctionisonlyfalseifBOTHconditionsarefalse.Theonlynumberthatisnotdivisbleby2andisnotdivisibleby3is11.
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MathematicalReasoning:Question5of20
"IfTombuysaredskateboard,thenAmandabuysgreeninlineskates."Whichstatementbelowislogicallyequivalent?
1. IfAmandadoesnotbuygreeninlineskates,thenTomdoesnotbuyaredskateboard.
2. IfTomdoesnotbuyaredskateboard,thenAmandadoesnotbuygreeninlineskates.
3. IfAmandabuysgreeninlineskates,thenTombuysaredskateboard.4. IfTombuysaredskateboard,thenAmandadoesnotbuygreeninlineskates.
CorrectAnswerNumber:1
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Explanation:Theoriginalstatementanditscontrapositivearelogicallyequivalent.Rememberthatthecontrapositiveisthe"converseoftheinverse"flipthe"If...then"sectionsANDinsert"NOTs".
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MathematicalReasoning:Question6of20
Whichstatementrepresentstheinverseofthestatement"Ifitissnowing,thenSkeeterwearsasweater."?
1. IfSkeeterwearsasweater,thenitissnowing.2. IfSkeeterdoesnotwearasweater,thenitisnotsnowing.3. Ifitisnotsnowing,thenSkeeterdoesnotwearasweater.4. Ifitisnotsnowing,thenSkeeterwearsasweater.
CorrectAnswerNumber:3
Explanation:Remember:toformtheINVERSEofastatement,insert"NOT"intothe"If"andthe"then"sectionsofthesentence.
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MathematicalReasoning:Question7of20
Whichofthefollowingistheconverseofthestatement:"Ifx>4,thenx+2>5"?
1. Ifx+24,4. Ifx+2isnotgreaterthan5,thenxisnotgreaterthan4.
CorrectAnswerNumber:3
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Explanation:Remember:toformtheCONVERSEofastatement,the"If"andthe"then"sectionsofthestatementswitchplaces.
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MathematicalReasoning:Question8of20
Whichstatementislogicallyequivalentto"IfYodacannotusealightsaber,thenhecannothelpLukewinthebattle."
1. YodacannotusealightsaberandhewillhelpLukewinthebattle.2. IfYodacanhelpLukewinthebattle,thenhecanusealightsaber.3. YodacanusealightsaberifandonlyifhecanhelpLukewinthebattle.4. YodacannotusealightsaberandwillnothelpLukewinthebattle.
CorrectAnswerNumber:2
Explanation:Astatementislogicallyequivalenttoitscontrapositive.Toformthecontrapositive,switchthe"If"and"then"sectionsofthestatementANDinsert"NOTs"intoeachsection.Noticeinthissituation,thatinserting"NOTs"turnsthethoughtspositive(youarenegatingnegativethoughts).
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MathematicalReasoning:Question9of20
IfShellydoesnotlikeJohn,whatisthetruthvalueofthestatement"ShellylikesMikeandshelikesJohn."?
1. True2. False3. ShellylikesPeter.4. noneoftheabove
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CorrectAnswerNumber:2
Explanation:Thestatementinquestioncontainstheword"AND".Astatementwith"AND"isonlytruewhenBOTHconditionsaretrue.Thesection"shelikesJohn"isfalse,sotheentirestatementisfalse.
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MathematicalReasoning:Question10of20
Wheny=3,whichofthefollowingisFALSE?
1. yisprimeandyisodd2. yisoddoryiseven3. yisnotprimeandyisodd4. yisoddand2yiseven
CorrectAnswerNumber:3
Explanation:RememberwhatisTRUE:3isprime,oddand2(3)iseven.Choice1:TandTisTRUEChoice2:TorFisTRUEChoice3:FandTisFALSEChoice4:TandTisTRUE
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MathematicalReasoning:Question11of20
Whichislogicallyequivalentto"IftodayisSunday,Mattcannotplayhockey."?
1. TodayisSundayandMattcanplayhockey.2. IfMattplayshockey,thentodayisnotSunday.3. TodayisSundayandMattcannotplayhockey.
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4. TodayisnotSundayifandonlyifMattplayshockey.
CorrectAnswerNumber:2
Explanation:Statementsarelogicallyequivalenttotheircontrapositives.
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MathematicalReasoning:Question12of20
Thestatement"x>5orx
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Explanation:For"and"tobetrue,bothconditionsmustbetrue."4iseven"istrue,but"8isodd"isfalse.TandFisFALSE
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MathematicalReasoning:Question14of20
Thesentence"____ifandonlyifx+x=3x"isTRUE.Whichofthefollowingcouldbeusedtofillintheblank?
1. x+x=2x2. 2xx=2x3. both1and2couldbeused4. neither1nor2couldbeused
CorrectAnswerNumber:2
Explanation:"ifandonlyif"isTRUEwhenbothconditionsaretheSAMEtruthvalue.Since"x+x=3x"isfalse,thefirstconditionmustalsobefalse.2xx=2xisfalse.
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MathematicalReasoning:Question15of20
Theinverseoftheconverseofaconditionalstatementisthe_______________.
1. converse2. inverse3. contrapositive4. noneoftheabove
CorrectAnswerNumber:3
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Explanation:TheinversewillinsertNOTintothestatement.TheconversewillswitchtheIFandTHEN.Thecontrapositivedoesboth.Thecontrapositiveistheinverseoftheconverseoftheconditionalstatement.
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MathematicalReasoning:Question16of20
IfSusandoesnotlikespinach,whatisthetruthvalueofthestatement"Susanlikesicecreamandshelikespinach."?
1. True2. False3. Susanlikepizza.4. noneoftheabove
CorrectAnswerNumber:2
Explanation:"and"isonlytruewhenbothconditionsareTRUE.SinceSusandoesnotlikespinach,thesecondconditionisfalse,makingtheentirestatementfalse.
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MathematicalReasoning:Question17of20
Whichofthefollowingisanopensentence?
1. Atrapezoidisafoursidedpolygon.2. AlbanyisacityinNewYorkState.3. Itwasbluewithwhitestripes.4. 5(20)+3=113
CorrectAnswerNumber:3
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Explanation:Anopensentenceisasentenceinwhichyoucannotdeterminewhetheritistrueorfalseduetoalackofinformation.Answers1and2aretrue.Answer4isfalse.ThetruthofAnswer3cannotbedetermined.
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MathematicalReasoning:Question18of20
"Ithastwopairsofoppositesidesparallel."Whichofthefollowingmakethisopensentencetrue?
1. parallelogram2. trapezoid3. rectangle4. both1and3
CorrectAnswerNumber:4
Explanation:Parallelogramsandrectangleshavetwopairs(sets)ofparallelsides.Atrapezoidhasonepair(set)ofparallelsides.
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MathematicalReasoning:Question19of20
Considerthesentence:x
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Explanation:Theonlynumberlessthan5inthelistofanswersis4.
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MathematicalReasoning:Question20of20
"IfDebandSamgotothemall,thenitissnowing."Whichstatementbelowislogicallyequivalent?
1. IfDebandSamdonotgotothemall,thenitisnotsnowing.2. IfDebandSamdonotgotothemall,themitissnowing.3. Ifitissnowing,thenDebandSamgotothemall.4. Ifitisnotsnowing,thenDebandSamdonotgotothemall.
CorrectAnswerNumber:4
Explanation:Astatementislogicallyequivalenttoitscontrapositive.
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