美国十年级数学考试题

2024479C�Thechartbelowshowstheheightsof13playersonawomen’sbasketballteam.BasketballTeamIfaplayerwhoseheightis6feet6inchesjoinedtheteam,whichofthefollowingstatisticalmeasuresofplayers’heightswouldnotchange?A.meanB.medianC.mode*D.rangePlayerHeight15ft.4in.25ft.6in.35ft.7in.45ft.7in.55ft.7in.65ft.9in.75ft.9in.85ft.10in.95ft.11in.105ft.11in.116ft.126ft.1in.136ft.2in.23007166C�Whatisthevalueoftheexpressionbelow?A.25B.30C.120*D.1456(52�5)1MathematicsSESSION1Youmayuseyourreferencesheetduringthissession.Youmaynotuseacalculatorduringthissession.DIRECTIONSThissessioncontainsfourteenmultiple-choicequestions,fourshort-answerquestions,andthreeopen-responsequestions.MarkyouranswerstothesequestionsinthespacesprovidedinyourStudentAnswerBooklet.2093010153C�ThewheelsonBill’sbicycleeachhavearadiusof35centimeters.Whichofthefollowingisclosesttothedistancethebicyclemovesalongthegroundinonecompleterevolutionofthewheels?A.35cmB.55cmC.110cmD.220cm*3010126C�Whatisthevalueoftheexpressionbelow?A.B.*C.D.1612�8�16�306�100�4653007200C�Whatisthey-interceptofthelinedefinedby?A.*B.�C.D.3010158C�Whichstatementisnottrue?A.43�70�53B.2(52)�70�3(52)C.82�70�92D.33�70�43*442323�4y�6x�43MathematicsSession12103007198CArtCode3007198.AR1�Whatistheapparentx-interceptofthelinegraphedbelow?A.2B.1C.�1D.�2*3007320C�Acertaincaraverages28milespergallon.Gasolinecosts$1.11pergallon.Whichofthefollowingisclosesttothenumberofmilesthecarwouldbeexpectedtogoon$250worthofgasoline?A.400milesB.6,000miles*C.12,000milesD.30,000miles8012345xy67-1-2-3-4-5-6-7-1-2-3-4-5-6-712345677MathematicsSession12112096942C�TheSunisapproximately93,000,000milesfromEarth.Lighttravelsapproximately186,000milespersecond.WhichofthefollowingisclosesttothenumberofsecondsittakeslighttotravelfromtheSuntoEarth?A.0.005secondB.0.050secondC.500seconds*D.5000seconds3010135CArtCode3010135.AR1�Apartialdrawingofaquadrilateralisshownbelow.Ifnoothersidesoranglesarecongruent,whichbestdescribesthefigure?A.squareB.rectangleC.parallelogramD.trapezoid*ADC10atime�distancespeedb92024408C�Shelleyisregisteringatahotelthathas14roomsavailableonthefirstfloor,10roomsavailableonthesecondfloor,and16roomsavailableonthethirdfloor.IfShelleyisassignedoneofthesehotelroomsatrandom,whatistheprobabilitythatitwillbeonthesecondfloor?A.*B.C.D.251331014123010128C�Whatisthevalueoftheexpressionbelow?6(5�3)�4(2�5�(3�2))A.B.*C.D.84�12�1511MathematicsSession12122024432CArtCode2024432.AR1,.AR2,.AR3,.AR4�Thechartbelowshowsarandomsampleofstudents’agesatacommunitycollege.Administratorsatthecollegeconstructedahistogramofthestudents’ages.Whichofthefollowinghistogramsbestrepresentsthedistributionofstudents’ages?A.*C.B.D.Students’AgesNumberofStudents87654321010-1415-1920-2425-2930-3435-3940-4445-49Students’AgesNumberofStudents87654321010-1415-1920-2425-2930-3435-3940-4445-49Students’AgesNumberofStudents87654321010-1415-1920-2425-2930-3435-3940-4445-49Students’AgesNumberofStudents87654321010-1415-1920-2425-2930-3435-3940-4445-4922183543441918383620193737201938382113MathematicsSession12133007175C�Whichofthefollowingisclosestto?A.6.7B.7.3*C.7.7D.8.325314214MathematicsSession1MathematicsSession1Questions15and16areshort-answerquestions.WriteyouranswerstothesequestionsintheboxesprovidedinyourStudentAnswerBooklet.Donotwriteyouranswersinthistestbooklet.Youmaydoyourfiguringinthetestbooklet.2024472C�Thetableshownbelowrepresentsalinearrelationshipbetweenxandy.Writeanequationforyintermsofx.2024329C�Thelengthofthehypotenuseofarighttriangleis13centimeters,andthelengthofonelegis12centimeters.Whatistheareaofthetriangle?16xy1831051271491615215MathematicsSession1Question17isanopen-responsequestion.•BESURETOANSWERANDLABELALLPARTSOFTHEQUESTION.•Showallyourwork(diagrams,tables,orcomputations)inyourStudentAnswerBooklet.•Ifyoudotheworkinyourhead,explaininwritinghowyoudidthework.Writeyouranswertoquestion17inthespaceprovidedinyourStudentAnswerBooklet.3011427C�Eachofthestatementsbelowistrueforparticularvaluesofrealnumbersp,t,v,andz.v•p�vandv�08•z�pv�5�tt�p�pa.Whatisthenumericalvalueofp?Writetheequationorequationsyouusedtofinditsnumericalvalueandexplainyourreasoning.b.Whatisthenumericalvalueoft?Writetheequationorequationsyouusedtofinditsnumericalvalueandexplainyourreasoning.c.Whatisthenumericalvalueofv?Writetheequationorequationsyouusedtofinditsnumericalvalueandexplainyourreasoning.d.Whatisthenumericalvalueofz?Writetheequationorequationsyouusedtofinditsnumericalvalueandexplainyourreasoning.17216MathematicsSession1Questions18and19areshort-answerquestions.WriteyouranswerstothesequestionsintheboxesprovidedinyourStudentAnswerBooklet.Donotwriteyouranswersinthistestbooklet.Youmaydoyourfiguringinthetestbooklet.2024508C�Latriceplanstorideherbicycleameanof80milesperweek.Duringthelastfourweeks,shehasrecordeddistancesof76,80,82,and74miles.HowmanymilesmustLatriceridethisweektoobtaina5-weekmeanof80miles?2096842C�Acubehasavolumeof64cubicinches.Whatisthelength,ininches,ofeachedgeofthecube?1918217Questions20and21areopen-responsequestions.•BESURETOANSWERANDLABELALLPARTSOFEACHQUESTION.•Showallyourwork(diagrams,tables,orcomputations)inyourStudentAnswerBooklet.•Ifyoudotheworkinyourhead,explaininwritinghowyoudidthework.Writeyouranswertoquestion20inthespaceprovidedinyourStudentAnswerBooklet.3020764C�20Thefirstfourtermsinapatternareshownbelow.3x,4x2,5x3,6x4,...Theformulagivenforthispatternisan�(2�n)xnwheren�thenumber(position)oftheterminthepattern.Thefirsttermis3x,thesecondtermis4x2,andsoon.Whenx�10,thevalueofthefirsttermis30,since3(10)�30.a.Whatisthevalueofthefifthterminthepatternwhenx�2?Showorexplainhowyouobtainedyouranswer.b.Usingtheformula,whatwillbetheseventhterminthepattern?Showorexplainhowyouobtainedyouranswer.c.Listthevalues,inorder,ofthefirstsixtermsinthepatternwhenx�–1.d.Whichterminthepatternwillhavethenumericalcoefficient24?Showorexplainhowyouobtainedyouranswer.MathematicsSession1218Writeyouranswertoquestion21inthespaceprovidedinyourStudentAnswerBooklet.2096863CArtCode2096863.AR1�ThegraphofsquareABCDisshownbelow.a.Whatistheslopeofdiagonalofthesquare?Showorexplainhowyougotyouranswer.b.Whatistheslopeofdiagonalofthesquare?Showorexplainhowyougotyouranswer.c.Whatistheequationofthelinecontainingdiagonalofthesquare?Showorexplainhowyougotyouranswer.d.Whatistheequationofthelinecontainingdiagonalofthesquare?Showorexplainhowyougotyouranswer.e.Whatistherelationshipbetweenthelinecontainingdiagonalandthelinecontainingdiagonalofthesquare?Explainyouranswer.BDACBDACBDAC432110234ABCDyx21MathematicsSession12192096865C�Ralphsimplifiedtheexpression15(�)to.WhichofthefollowingpropertiesoftherealnumbersdidRalphuse?A.associativepropertyofmultiplicationB.commutativepropertyofmultiplicationC.distributiveproperty*D.multiplicativeidentityproperty(5�6)2513233007253CArtCode3007253.AR1�Whatish,theheightoftheparallelogramrepresentedbelow,ifitsareais91squarecentimeters?A.7cm*B.9cmC.11cmD.15cmh13cm22MathematicsSESSION2Youmayuseyourreferencesheetduringthissession.Youmayuseacalculatorduringthissession.DIRECTIONSThissessioncontainseighteenmultiple-choicequestionsandthreeopen-responsequestions.MarkyouranswerstothesequestionsinthespacesprovidedinyourStudentAnswerBooklet.220MathematicsSession23007217C�Whichofthefollowingisoneofthefactorsoftheexpressionbelow?4x2�25A.B.C.D.*(2x�5)(4x�1)(2x�1)(4x�5)242096789CArtCode2096789.AR1�Inthefiguresshownbelow,issimilarto.Whatisthelengthof?A.2.0cmB.4.5cmC.12.5cm*D.22.5cmXZYZXCBA?5cm3cm7.5cmDXYZDABC252213010110C�Whichofthefollowingisanequationforalinethatisnotparalleltothelinewiththisequation?A.y�x�1B.y�x�21C.*D.3007192C�Whatisthe9thterminthequadraticsequenceshownbelow?2,5,10,17,26,...A.97B.82*C.71D.6527�x�4y�8�0�2x�4y�8�01414�x�4y�8�026MathematicsSession22223007304CArtCode3007304.AR1,.AR2,.AR3,.AR4�Whichofthefollowinggraphsshowsthesolutionsetfortheinequalityshownbelow?A.B.*C.D.2024421CArtCode2024421.AR1�Thecirclegraphbelowshowsthecolorsof160marbles.Whatisthetotalnumberofgreenmarbles?A.8B.20*C.40D.45YellowBlueOrangeRedGreenPurpleWhite90˚90˚45˚45˚45˚22.5˚22.5˚29-3-4-5-6-7-1134567-20201234567-1-2-3-4-5-6-701234567-1-2-3-4-5-6-701234567-1-2-3-4-5-6-70x�10�4282024426CArtCode2024426.AR1�Thebox-and-whiskerplotshownbelowrepresentstheheights,ininches,ofthemembersoftheCentralHighSchoolgirls’basketballteam.Whatisthemedianheightofthemembersoftheteam?A.67inches*B.68inchesC.69inchesD.70inchesGirls’HeightsinInches646567707430MathematicsSession2223MathematicsSession2Questions31isanopen-responsequestion.•BESURETOANSWERANDLABELALLPARTSOFEACHQUESTION.•Showallyourwork(diagrams,tables,orcomputations)inyourStudentAnswerBooklet.•Ifyoudotheworkinyourhead,explaininwritinghowyoudidthework.Writeyouranswertoquestion31inthespaceprovidedinyourStudentAnswerBooklet.3015814C�31Inanexperiment,SueandHeliseaskedeachof30studentsinarandomsampleofthejuniorsattheirschooltorecordthenumberofminutestheywatchedtelevisiononaSaturdayandSundayinApril.Theresults,roundedtothenearest30minutes,areshowninthetable.MinutesofTelevisionWatchinga.Whatnumberofminutesspentwatchingtelevisionshouldthegirlsreportasthemodeforthisgroupofstudents?Justifyyouranswer.b.Helisesaidthatthemediannumberofminutesforthisgroupofstudentsis180,butSuedisagreed.DoyouagreewithSueorHelise?Justifyyouranswer.c.SupposethatSueandHelisehadusedtheentireclassof185juniorsastheirsample.Basedontheresultsfromtheirsmallersample,whattotalnumberofthe185juniorswouldprobablyhavereportedwatching300minutesoftelevisiononthatweekend?Showorexplainhowyouobtainedyouranswer.TotalNumberofMinutesofNumberofTelevisionWatchedonSaturdayandSundayJuniorStudents016039061205180524023005420154022242096887C�Mr.Johnsonpurchased20concertticketsforatotalof$225.Theconcertticketscost$15foradultsand$10forchildrenunder12.Howmanyticketsforchildrenunder12didMr.Johnsonpurchase?A.5B.9C.15*D.1832MathematicsSession2Markyouranswerstomultiple-choicequestions32through40inthespacesprovidedinyourStudentAnswerBooklet.Donotwriteyouranswersinthistestbooklet.Youmaydoyourfiguringinthetestbooklet.2253010138CArtCode3010138.AR1�Usingthemeasuresshowninthesketch,whatisthelengthofthesectionoftheladderfromthepointwhereitrestsonthegroundtothepointwhereittouchesthehouse?A.4.8ft.B.7ft.C.17ft.*D.23ft.HouseLadderGround15ft.8ft.333007240C�Theforceneededtostretchaspringisdirectlyproportionaltotheamountthespringistobestretched.Ifaforceof100poundsstretchesacertainspring8inches,howmuchforceisneededtostretchthespring12inches?A.25poundsB.50poundsC.100poundsD.150pounds*3007294C�Whichofthefollowingexpressionsisequivalenttotheoneshownbelow?A.*B.C.D.2x2�22x2�11x�152x2�152x2�x�15(x�3)(2x�5)3534MathematicsSession23010142CArtCode3010142.AR1�Whatisthemeasureofinthefigurebelow?A.34ºB.56ºC.62ºD.68º*3007270C�Arightcircularcylindricalcanis6incheshigh,andtheareaofitstopissquareinches.Whatistheminimumnumberofsquareinchesofconstructionpaperitwouldtaketocoverthelateralsurfaceofthiscan?A.72sq.in.B.72sq.in.*C.432sq.in.D.432sq.in.pp36p37ABC56��B362263007209C�Whichofthefollowingexpressionsisequivalenttotheoneshownbelow?A.B.*C.D.2024419C�Keeshaandherfamilyvisithergrandparentsonceamonth.Keesharecordedthedrivingtimetohergrandparents’housefor6tripsinthechartbelow.DrivingTimesBasedonthedatainthechart,whatisthemeandrivingtimetoKeesha’sgrandparents’house?A.3hours,23minutesB.3hours,26minutesC.3hours,30minutes*D.3hours,35minutesMonthTimeJanuary3hours,23minutesFebruary3hours,5minutesMarch3hours,50minutesApril3hours,52minutesMay3hours,15minutesJune3hours,35minutes395b2�3b�14b2�b5b2�3b�15b2�b(b3�5b2�2b)�(b3�b�1)38MathematicsSession22024406C�40Baileynoticedthatmanyofthestudentsatherschoolhadredhair.Sherandomlychose25ofthestudentsinherschoolandfoundthat2ofthemhadredhair.IfBailey’ssampleisrepresentative,whichofthefollowingisclosesttothenumberofthe2200studentsatherschoolwhohaveredhair?A.44B.88C.176*D.200227MathematicsSession2Questions41and42areopen-responsequestions.•BESURETOANSWERANDLABELALLPARTSOFEACHQUESTION.•Showallyourwork(diagrams,tables,orcomputations)inyourStudentAnswerBooklet.•Ifyoudotheworkinyourhead,explaininwritinghowyoudidthework.Writeyouranswertoquestion41inthespaceprovidedinyourStudentAnswerBooklet.2096818C�Aglasscontainingwaterisintheshapeofarightcircularcylinderwitharadiusof3centimeters.Theheightofthewaterintheglassis10centimeters.a.Whatisthevolumeofthewaterintheglass?Besuretoincludeunitsofmeasureinyouranswer.Showorexplainhowyouobtainedyouranswer.b.Fivesphericalmarblesofequalsizearedroppedintotheglass.Thewaterintheglassrisestoaheightof11centimeters.Whatistheincreaseinthevolumeofthecontentsoftheglass?Besuretoincludeunitsofmeasureinyouranswer.Showorexplainhowyouobtainedyouranswer.c.Whatisthevolumeofoneofthemarbles?Besuretoincludeunitsofmeasureinyouranswer.Showorexplainhowyouobtainedyouranswer.d.Whatistheradiusofoneofthemarbles?Besuretoincludeunitsofmeasureinyouranswer.Showorexplainhowyouobtainedyouranswer.41228MathematicsSession2Writeyouranswertoquestion42inthespaceprovidedinyourStudentAnswerBooklet.3015801C�42Alocalskiclubplanstochartertransportationforaskitrip.Twodifferentbuscompaniesareavailableforcharterservices.a.If72clubmemberssignupforthetrip,whatwouldbethetotaltransportationcostforeachofthetwochartercompanies?Showyourworkandlabeleachanswerwiththecompanyname.b.Writeanequationthatexpressesc,thetotalcostofusingSnowbirdCharter,intermsofp,thetotalnumberofclubmemberswhogoonthetrip.c.Writeanequationthatexpressesc,thetotalcostforusingMountainCharter,intermsofp,thetotalnumberofclubmemberswhogoonthetrip.d.Iftheclubmemberswanttochoosethelessexpensiveofthetwobuscompanies,whichcompanyshouldtheychoose?Justifyyouranswerbyexplaininghowthenumberofclubmemberswhogoonthetripshouldaffecttheirdecision.MOUNTAINCHARTERRoundtripsDailyat6and8A.M.$15perpersonCallforreservations.SNOWBIRDCHARTERRoundtripsDepartDaily6and8A.M.$300,plus$12perpersonReservationsarerequired.229230MassachusettsComprehensiveAssessmentSystemGrade10MathematicsReferenceSheetAREAFORMULAStriangle...........A=bhrectangle.........A=bhsquare.............A=s2trapezoid.........A=hCIRCLEFORMULASC=2rA=r2��(b1�b2)1212VOLUMEFORMULAScube.........................................V=s3(slengthofanedge)rectangularprism....................V=lwhORV=Bh(Bareaofthebase)sphere......................................V=r3rightcircularcylinder.............V=r2hrightcircularcone...................V=r2hrightsquarepyramid...............V=s2h13�13��43��LATERALSURFACEAREAFORMULASrectangularprism...................LA=2(hw)+2(lh)rightcircularcylinder............LA=2rhrightcircularcone..................LA=rrightsquarepyramid..............LA=2s(=slantheight)TOTALSURFACEAREAFORMULAScube.......................................SA=6s2rectangularprism...................SA=2(lw)+2(hw)+2(lh)sphere.....................................SA=4r2rightcircularcylinder............SA=2r2+2rhrightcircularcone..................SA=r2+rrightsquarepyramid..............SA=s2+2s(=slantheight)�������������231Grade10MathematicsSpring2004ReleasedItems:ReportingCategories,Standards,andCorrectAnswersItemNo.PageNo.ReportingCategoryStandardCorrectAnswer(MC/SA)*1209NumberSenseandOperations10.N.2C2209DataAnalysis,Statistics,andProbability10.D.1C3210Patterns,Relations,andAlgebra10.P.2A42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