Kangaroo2006—JuniorMaxTime:120min
Junior:Class(9-10)
3-Point-Problems
1.Whatishalfwaybetween2006and6002?
A)3998B)4000C)4002D)4004E)4006
2.Howmanyfour-digitnumbers(whosefourdigitsaredistinct)aredivisibleby2006?
A)1B)2C)3D)4E)5
3.Whatistheleast10-digitnumberthatcanbeobtainedbyputtingtogetherthefollowingsix
numbersoneafteranother:309,41,5,7,68,and2?
A)1234567890B)1023456789C)3097568241
D)2309415687E)2309415678
4.Howmanytimesbetween00:00and23:59doesanelectronicwatchshowallthefourdigits2,0,
0and6inanyorder?
A)1B)2C)3D)4E)5
5.Aflagconsistsofthreestripesofequalwidth,whicharedividedintotwo,three
andfourequalparts,respectively.Whatfractionoftheareaoftheflagiscolored
grey?
12345
A)B)C)D)E)
23579
6.MyGrandma’swatchgainsoneminuteeveryhour.MyGrandpa’swatchloseshalfaminute
everyhour.WhenIlefttheirhouseIsynchronizedtheirwatchesandtoldthemIwouldreturn
whenthedifferencebetweenthetimesontheirwatchesisexactlyonehour.Howlongwillitbe
beforeIreturn?
A)12hoursB)14hoursandahalfC)40hours
D)60hoursE)90hours
7.Alisaysthat25%ofhisbooksarenovels,and1/9ofthemarepoetry.Giventhathehasbetween
50and100books,howmanybooksdoes