Kangaroo2005—JuniorMaxTime:90min
Junior
3-Point-Problems
1.Helgaliveswithherfather,mother,brother,onedog,twocats,twoparrotsandfourfish.
Howmanylegsdotheyhavealtogether?
(A)22(B)28(C)24(D)32(E)13
2.Sallyhadthefiftiethbestresult,andatthesametimethefiftiethpoorestresult,
atthelatestKangaroocontestinherschool.Howmanypupilstookpartinthecompetition?
(A)50(B)75(C)99(D)100(E)101
3.Thereareeightkangaroosinthecellsofthetable
(seethefigureontheright).Anykangaroocanjumpintoany
freecell.Findtheleastnumberofkangarooswhichhavetojump
intoanothercellsothatexactlytwokangaroosremaininanyrow
andinanycolumnofthetable.
(A)0(B)1(C)2(D)3(E)4
4.18pupilsarecrossingaroadinpairs.Thepairsarelabeledfrom1to9.Apairwith
anevenlabelconsistsofaboyandagirl,andapairwithanoddlabelconsistsoftwoboys.
Howmanyboysarecrossingtheroad?
(A)10(B)12(C)14(D)11(E)18
5.Johnnyinflates8balloonseverythreeminutes.Howmanyballoonswillbeinflatedafter
twohours,ifeverytenthballoonpopsimmediatelyafterhavingbeeninflated?
(A)160(B)216(C)240(D)288(E)320
6.Inthediagram,thefivecircleshavethesameradiusand
touchasshown.Thesmallsquarejoinsthecentresofthefourouter
circles.Theratiooftheareaoftheshadedpartofthefivecirclesto
theareaoftheunshadedpartsofthefivecirclesis
(A)1:3(B)1:4(C)2:5(D)2:3(E)5:4
1
Kangaroo2005—JuniorMaxTime:90min
7.Acompanyreceivedan