Kangaroo2007-JuniorMaxTime:120min

Junior:Class(9-10)

3-Point-Problems

Q1:Asif,UsmanandSamihave30ballstogether.IfUsmangives5toSami,Samigives4toAsif

andAsifgives2toUsman,thentheboyswillhavethesamenumberofballs.Howmayballs

haveAsifatfirst?

A)15B)13C)11D)9E)8

Q2:Inthefigure5facesofthedicearevisible.Whatisthesumofthepointson

theremaining7invisiblefacesofthedice?

A)12B)15C)27D)7E)36

Q3:Inaluckydrawofprizeticketsitisannounced“Thewinningticketsarethose,whichhaveat

least5-digitsintheirnumberandatmostthreeoftheirdigitsarelargerthan2.”Ifthe5-tickets

drawnhavenumbers1022,22222,102334,213343and3042531.Howmanyofthemwere

winingones.

A)1B)2C)3D)4E)5

Q4:InatriangleABC,DisthemidpointofAB,EisthemidpointofDB,FisthemidpointofBC.

IfareaoftriangleABCis96squareunits,thentheareaof?AEFis,

A)16B)24C)32D)36E)48

Q5:MeeraJamalhasput2007ballsinthreebagsA,BandCinsuchawaythateachbagcontains

exactlythesamenumberofballs.Ifshemoves2/3oftheballsfrombag‘A’tobag‘C’then

theratiobetweenthenumberofballsinbagAandCwillbe.

A)2:3B)1:5C)1:2D)1:3E)2:5

Q6:Acertaincommitteehas32numbers.Howmanynumberswillithaveinthreeyear’stime,if

thenumberofmembersincreaseseachyearcomparedtothepreviousoneby50%?

A)182B)128C)108D)96E)80