SAT2数学Level-1习题一-【剑桥国际高中入学资料】

SAT2数学Level1习题一Question#1:Iff(x)=xandg(x)=√x,x≥0,whatarethesolutionsoff(x)=g(x)?x=1x1=1,x2=-1x1=1,x2=0x=0x=-1Question#2:WhatisthelengthofthearcABinthefigurebelow,ifOisthecenterofthecircleandtriangleOABisequilateral?Theradiusofthecircleis9(a)¶(b)2·¶(c)3·¶(d)4·¶(e)¶/2Question#3:Whatistheprobabilitythatsomeonethatthrows2dicegetsa5anda6?Eachdicehassidesnumberedfrom1to6.1/21/61/121/181/36Question#4:AcyclistbikesfromtownAtotownBandbacktotownAin3hours.HebikesfromAtoBataspeedof15miles/hourwhilehisreturnspeedis10miles/hour.Whatisthedistancebetweenthe2towns?11miles18miles15miles12miles10milesQuestion#5:Thevolumeofacube-shapedglassC1ofedgeaisequaltohalfthevolumeofacylinder-shapedglassC2.TheradiusofC2isequaltotheedgeofC1.WhatistheheightofC2?2·a/¶a/¶a/(2·¶)a/¶a+¶Question#6:Howmanyintegersxaretheresuchthat2x100,andatthesametimethenumber2x+2isanintegerdivisiblebyboth3and2?12345Question#7:sin(x)cos(x)(1+tan2(x))=tan(x)+1cos(x)sin(x)tan(x)sin(x)+cos(x)Question#8:If5xy=210,andxandyarepositiveintegers,eachofthefollowingcouldbethevalueofx+yexcept:1317231543Question#9:Theaverageoftheintegers24,6,12,xandyis11.Whatisthevalueofthesumx+y?111713159Question#10:Theinequality|2x-1|5mustbetrueinwhichoneofthefollowingcases?I.x-5II.x7III.x0IIonlyI,IIandIIIandIIonlyIandIIIonlyIonlyKey！BCCADCDDCC