MATH
..KANGAROO
CHINAMATHKANGAROO2024(CHINA)-LEVELE?:?iilri!;lf.!l?SEEDE!i
5.Timwantstodrawthefigureshownonapieceofpaper,withoutliftinghis
penciloffthepaper.Thelengthsofthelinesaregiveninthefigure.Hecanchoose
tostarthisdrawinganywhere.Whatistheshortestdistancehecoulddrawto
completethefigure?
TimmR-*?L???OOOO%,??????-H?ffi.?0000?8???*
??*·TimPfl2J,m?Ndf:w:1llJIH???fF?·iwfoJTim??33:-t-00%J=ifr1ffls{J
1\Ull*?$d?
(A)14cm(B)15cm(C)16cm(D)17cm(E)18cm
6.Thefigureshowsasquarewithfourcirclesofequalarea,eachtouchingtwo
sidesofthesquareandtwoothercircles.Whatistheratiobetweentheareasof
theblackregionandthegreyregion?
?ru?:1r%??*4-t-ffi?ffl?s{J?,x??-t-?m??:1J%s{Jm??Ll
?#m-t-?fflW.?ij?????????s{Jffi????$??
(A)1:4(B)1:3(C)2:3(D)3:4
7.Johnmakesasequenceofstructuresonatable,beginning
withonecube.Hemakesthenextstructurebyaddingfivecubes
whichhidethevisiblefacesoftheinitialcube,asshown.What
isthesmallestnumberofcubesheneedstoaddtothesecond
structuresothatallthevisiblefacesofthesecondstructureare
hidden?
JohnR?L???-JStt..A\tlm:nm,J-A--t-nmH?.:Ml:?,1tBRJ!-t-:1ImmJli:1JnL5-t-:1Jm,?t
JE9?:1Jms{J?-t-PfmffijJg11,:tinOOJ=iJT?.lJJI.R,:!in5!@Jl!?IHj?iJ=ik?Pf%ffijJg11,John?y?rm?$Y
-t-1fm?
(A)8(B)9(C)10(D)13(E)19
8.Athree-digitpalindromeisanumberoftheformabawherethedigitsaandbcaneitherbethe
same