InternationalKangarooMathematicsContest2010
CadetLevel:Class(78)MaxTime:2Hours
3-pointproblems
Q1)Howmuchis12+23+34+45+56+67+78+89?
A)396B)404C)405D)otheranswer.
Q2)Howmanyaxesofsymmetrydoesthefigurehave?
A)1B)2C)4D)infinitelymany
Q3)Toykangaroosarepackedforshipment.Eachofthemispackedinaboxwhichisacube.Exactly
eightboxesarepackedtightlyinabiggercubiccardboardbox.Howmanykangarooboxesareonthe
bottomfloorofthisbigcube?
A)1B)2C)3D)4
Q4)Theperimeterofthefigureisequalto
A)3a+4bB)3a+8bC)6a+6bD)6a+8b
Q5)Ehsandrawsthesixverticesofaregularhexagonandthenconnects
someofthe6pointswithlinestoobtainageometricfigure.Thenthis
figureissurelynota
A)trapeziumB)rightangledtriangleC)square
D)obtuseangledtriangle
Q6)Ifwetypesevenconsecutiveintegernumbersandthesumofthesmallestthreenumbersis33,
whichisthesumofthelargestthreenumbers?
A)39B)42C)48D)45
Q7)Afterstockingupfirewood,theworkersummedupthatfromthecertainnumberoflogshemade72
logsbesides53cutsweremade.Hesawsonlyonelogatatime.Howmanylogswereatthebeginning?
A)18B)19C)20D)21
1
Q8)Therearesevenbarsinthebox.Theyare3cm×1cminsize.The
boxisofsize5cm×5cm.Isitpossibletoslidethebarsintheboxso
therewillberoomforonemorebar?Atleasthowmanybarsmustbe
movedinthatcase?
A)