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SAT考试模拟题：数学2015年SAT考试模拟题：数学2015年SAT考试模拟题：数学1.Whichofthefollowingcouldbeavalueofx,inthediagramabove?A.10B.20C.40D.50E.anyoftheabove2.Helpersareneededtoprepareforthefete.Eachhelpercanmakeeither2largecakesor35smallcakesperhour.Thekitchenisavailablefor3hoursand20largecakesand700smallcakesareneeded.Howmanyhelpersarerequired?A.10B.15C.20D.25E.303.Jo'scollectioncontainsUS,IndianandBritishstamps.IftheratioofUStoIndianstampsis5to2andtheratioofIndiantoBritishstampsis5to1,whatistheratioofUStoBritishstamps?A.5:1B.10:5C.15:2D.20:2E.25:24.A3by4rectangleisinscribedincircle.Whatisthecircumferenceofthecircle?A.2.5πB.3πC.5πD.4πE.10π5.Twosetsof4consecutivepositiveintegershaveexactlyoneintegerincommon.Thesumoftheintegersinthesetwithgreaternumbersishowmuchgreaterthanthesumoftheintegersintheotherset?A.4B.7C.8D.12E.itcannotbedeterminedfromtheinformationgiven.答案：1.CorrectAnswer:BExplanation:Themarkedangle,ABCmustbemorethan90degreesbecauseitistheexternalangleoftriangleBDC,andmustbeequaltothesumofanglesBDC(90)andDCB.AlsoABCisnotastraightlineandmustbelessthan180.Therefore90<5x<180Theonlyvalueofxwhichsatisfiesthisrelationis20.2.CorrectAnswer:AExplanation:20largecakeswillrequiretheequivalentof10helpersworkingforonehour.700smallcakeswillrequiretheequivalentof20helpersworkingforonehour.Thismeansifonlyonehourwereavailablewewouldneed30helpers.Butsincethreehoursareavailablewecanuse10helpers.3.CorrectAnswer:EExplanation:Indianstampsarecommontobothratios.MulltiplybothratiosbyfactorssuchthattheIndianstampsarerepresentedbythesamenumber.US:Indian=5:2,andIndian:British=5:1.Multiplythefirstby5,andthesecondby2.NowUS:Indian=25:10,andIndian:British=10:2HencethetworatioscanbecombinedandUS:British=25:24.CorrectAnswer:CExplanation:Drawthediagram.Thediagonaloftherectangleisthediameterofthecircle.Thediagonalisthehypotenuseofa3,4,5triangle,andistherefore,5.Circumference=π.diameter=5π5.CorrectAnswer:DExplanation:Iftwosetsoffourconsecut
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