InternationalKangarooMathematicsContest2010
EcolierLevel:Class(34)MaxTime:2Hours
3-pointproblems
Q1)Thereisamazeonthepictureforacatandamouse.The
catcanreachthebowlwithmilk,mousecanreachthecheese,
butcatandmousewillnevermeet.Howdoesthehiddenpartof
themazelooklike?
Q2)A40minuteslessonstartedat11:50.Exactlyatthemiddleofthelesson,abirdflewintotheclassroom
suddenly.Whendidthathappen?
A)12:10B)12:20
Q3)Indianchiefhasthreefeathers,anaxe,arrowsandmoccasinsonfeet.Hissonhastwofeathers,arrows,
doesn’thaveanaxe,heisbarefootedandhastwostripesdrawnonhischest.Whichpictureshowsthechief
togetherwithhisson?
Q4)Inthisrestaurant,firstcoursecosts4€,maincourse9€anddessert5€.TheMenu,whichisfirst
course+maincourse+dessert,costs15€.HowmuchdoessomeonesaveifheorderstheMenuinsteadof
thethreeseparatecourses.
A)3€B)4€
Q5)Sixcoinsarelyinginatriangle.Youhavetomove
somecoinstoplacetheminacircleasyoucanseeinthe
secondpicture.Howmanycoinsmustbemovedat
least?
A)2B)3
1
Q6)Fourfriendswereeatingice-cream:
·MariaatemorethanFaria,
·JaweriaatemorethanVeena,
·JaweriaatelessthanFaria.
Whichalternativeliststhegirlsfromtheonewhoatethemosttotheonewhoateleast?
A)Maria,Jaweria,Veena,FariaB)Maria,Faria,Jaweria,Veena
Q7)Usingonlytileslikethis,whichofthefollowingpatternswouldbeimpossibletoconstructifwe
wanttocoverthefloorofaroom?
A)B)
Q8)