袋鼠A级别2013-2023真题合集

KangarooMathCompetition2014{PreEcolier3points#1.Ladybirdwillsitona owerthathasvepetalsandthreeleaves.Onwhichofthefollowing owerswillladybirdsit?Seekorkumbangakanhinggapdiatasbungayangmempunyailimakelopakdantigadaun.Bungayangmanakahyangakandihinggapiolehkumbangtersebut?瓢虫将会爬在拥有五片花瓣和三片叶子的花上。请问瓢虫将会爬在哪朵花上？(A)(B)(C)(D)(E)1,KangarooMathCompetition2014{PreEcolier#2.Inwhatorderdoyoumeettheshapesstartingfromthearrow?Apakahturutanbentukyangakandijumpaijikaandabermuladarianakpanahtersebut?从箭头方向出发，依次你将会遇到什么形状？(A)N,,(B)N,,(C),N,(D),N,(E),,N#3.Howmanymoregreysquaresthanwhiteonescanyousee?Berapakahlebihanbilanganpetakkelabuberbandingdenganpetakputihyangdapatdilihat?请问灰色正方格比白色的多出多少个？(A)6(B)7(C)8(D)9(E)102,KangarooMathCompetition2014{PreEcolier#4.Puttheanimalsinlinefromthesmallesttothelargest.Whatanimalisinthemiddle?Susunhaiwan-haiwanberikutdaripadayangpalingkecilhinggakeyangpalingbesar.Hai-wanmanakahyangterletakditengah?把图中的动物从小至大顺序排列。请问哪一只会排在中间？(A)1(B)2(C)3(D)4(E)5#5.Annhastwelveofthesetiles.Shemakesonelinewiththedesign.Annstartsattheleftside.Howdoesthelineend?Annmempunyai12kepingpetaksedemikian.Diamembuatsatugarismelengkungmeng-gunakanpetak-petaktersebut.Annbermuladarisebelahkiri.Bagaimanakahgaristersebutakantamat?Ann拥有12个的砖。她要把砖上的图案排成一条线。Ann从左边开始排。请问那条线结束时是怎样的？(A)(B)(C)(D)(E)3,KangarooMathCompetition2014{PreEcolier#6.Whichistheshadowofthegirl?Yangmanasatukahbayang-bayangbudaktersebut?以下哪个是小女孩的影子？(A)(B)(C)(D)(E)4,KangarooMathCompetition2014{PreEcolier#7.Asquarewascomposedof25smallsquares,butsomeofthesesmallsquaresarelost.Howmanyarelost?Suatupetakterdiridaripada25petakkecil,tetapibeberapapetakkeciltersebuttelahhilang.Berapakahbilanganpetakkecilyanghilang?一个正方形是由25个小正方形组成的，但是一部分的小正方形不见了。请问共缺了多少个？(A)6(B)7(C)8(D)10(E)12#8.Howmanyducksbalancethecrocodile?Berapakahbilanganitikyangseimbangdenganseekorbuaya?请问该放多少只鸭才能和鳄鱼保持平衡？(A)(B)(C)(D)(E)5,KangarooMathCompetition2014{PreEcolier#9.Whentheantgoesfromhomefollowingthesearrows:!3,"3,!3,"1,itcomestotheladybird.Whichanimalwoulditcometo,ifitgoesfromhomefollowingthesearrows:!2,#2,!3,"3,!2,"2?Apabilasemutberjalandarirumahmengikutarahberikut:!3,"3,!3,"1,iaakansampaikepadakumbang.Apakahhaiwanyangdapatditemuinya,jikaiaberjalandarirumahmengikutarahberikut:!2,#2,!3,"3,!2,"2?当蚂蚁从家里出发，并随着箭头!3;"3;!3;"1的方向走，它将遇到瓢虫。如果它从家里出发，随着箭头!2;#2;!3;"3;!2;"2走，它将会遇到什么动物？(A)(B)(C)(D)(E)6,KangarooMathCompetition2014{PreEcolier#10.Thekangarooisinsidehowmanycircles?Kangarootersebutterletakdidalamberapabulatan?请问袋鼠共在多少个圆圈里？(A)1(B)2(C)3(D)4(E)54points#11.Asquarewascutinto4partsasshowninthepicture.Whichofthefollowingshapescannotbemadewiththese4parts?Suatupetakdipotongkepada4bahagiansepertiditunjukkanpadagambarajah.Bentukyangmanakahtidakbolehdibuatmenggunakan4bahagiantersebut?一个正方形被切成四个部分（如下图）。请问以下哪个形状不能被这四个部分组成？(A)(B)(C)(D)(E)7,KangarooMathCompetition2014{PreEcolier#12.Whichformtsexactlytheonegivenbelow?Bentukmanakahyangbolehdimuatkansecaratepatdenganbentukdibawah?以下哪一个形状可以恰好嵌合这个形状？(A)(B)(C)(D)(E)#13.WalkingfromKtoOalongthelinespickupthelettersKANGAROOinthecorrectorder.Whatisthelengthoftheshortestwalkinmeters?DenganberjalandariKkeOsepanjanggarisan-garisan,kutiphuruf-hurufKANGAROOmengikutsusunanyangbetul.Apakahjarakterpendekyangbolehdilaluidalamunitmeter?沿着线上从K至O走，但必须以正确的次序经过KANGAROO字母。请问最短的距离多长？1m1m(A)16m(B)17m(C)18m(D)19m(E)20m8,KangarooMathCompetition2014{PreEcolier#14.Howmanynumbersaregreaterthan10andlessthanorequalto31whichcanbewrittenwithdigits1,2or3only?Youcanrepeatdigits.Berapakahbilangannomboryanglebihdaripada10dankurangdaripadaatausamadengan31yangbolehditulismenggunakandigit1,2atau3sahaja?Digitbolehdigunakanberulangkali.请问有多少个号码大于10但小于或相等于31并且只由数字1，2，3组成？你可以重复数字。(A)2(B)4(C)6(D)7(E)8#15.Sevenstickslieontopofeachother.Stick2isatthebottom.Stick6isatthetop.Whichstickisinthemiddle?Tujuhbatangbertindihanantarasatusamalain.Batang2terletakdibawahsekali.Batang6terletakdiatassekali.Batangmanakahyangterletakditengah?有七根棒相叠。2号棒在最下面，6号棒在最上面。请问哪一根棒在中间？(A)1(B)3(C)4(D)5(E)79,KangarooMathCompetition2014{PreEcolier#16.RabbitVenyaeatscabbagesandcarrots.Eachdayheeatseither10carrots,or2cabbages.InthepreviousweekVenyaate6cabbages.Howmanycarrotsdidheeat?VenyasiArnabsukamakankobisdanlobak.Setiapharidiamemakansamaada10lobak,atau2kobis.Sepanjangminggulalu,Venyatelahmemakan6kobis.Berapakahlobakyangtelahdimakannya?兔子Venya喜欢吃包菜和萝卜。每天它只吃10根萝卜或2个包菜。上个星期Venya吃了6个包菜.请问它吃了多少根萝卜？(A)20(B)30(C)34(D)40(E)50#17.Putthedigits2,3,4and5inthesquaresandcalculatethesumtogetthelargestvalue.Whatisthatvalue?Letakkandigit-digit2,3,4dan5kedalampetak-petakberikutdankirahasiltambahterse-butuntukmendapatkannilaitertinggi.Apakahnilaitersebut?把数字2，3，4，5放进方格里并算出和数中最大的数值。请问最大的数值是多少？+(A)68(B)77(C)86(D)95(E)9710,KangarooMathCompetition2014{PreEcolier#18.Thecentralcellofthesquarewasremoved.Wecutitintoequalpieces.Whichpieceisnotpossibletoget?Petaktengahpadasegiempatberikuttelahdibuang.Segiempattersebutkemudiandipotongkepadabeberapabentukyangsama.Bentukmanakahyangtidakbolehdiperolehi?此正方形中间的一个小方格被取出，并被切成一些相等的纸片。请问那一片是不可能获得的？(A)(B)(C)(D)(E)#19.Togettheproductof2315,Billhastopressthekeysofhiscalculatorseventimes.Billwantstomultiplyallnumbersfrom3to21,usinghiscalculator.Howmanytimeswillhepressthekeysofhiscalculator?Untukmendapatkanhasildarab2315,Billperlumenekankuncikalkulatorsebanyaktujuhkali.Billmahumendarabkankesemuanombordari3hingga21menggunakankalkulator.BerapakalikahBillperlumenekankuncikalkulatortersebut?为了获得2315的积,Bill必须按计算机的按键七次：。如果Bill要用他的计算机获得所有从3至21的数字的积，请问他必须在按键上按多少次？(A)19(B)31(C)37(D)50(E)6011,KangarooMathCompetition2014{PreEcolier#20.CogwheelAturnsroundcompletelyonce.Atwhichplaceisxnow?GerigiAmembuatsatupusinganlengkap.Dimanakahterletaknyaxsekarang?齿轮A旋转了完整一圈。x现在在什么地方？(A)a(B)b(C)c(D)d(E)eENDOFPAPER答案：BADBCDDBACDECDBDDEDA12,MathKangarooContest2015-Pre-Ecolier3pointproblems1.Whichfigureisnotineachoffourpictures?哪个图形没有同时出现在以下四张图中？(A)(B)(C)(D)(E)2.Howmanytrianglesarethereinthepicture?下图中一共有多少个三角形(A)7(B)6(C)5(D)4(E)33.Findthemissingpartofthehouse.找到房子中缺失的部分。(A)(B)(C)(D)(E)1,MathKangarooContest2015-Pre-Ecolier4.Fivelady-bugsliveonabush.Intotal,howmanyspotshavethelady-bugs?下图瓢虫中有多少个点点？(A)17(B)18(C)19(D)20(E)215.Erichad10equalmetalstrips.小E有10个一模一样的金属条。Hehasscrewedpairsofthemtogetherintofivelongstrips.每两个组合起来形成5个长的金属条Whichstripistheshortest?哪个金属条是最短的？(A)A(B)B(C)C(D)D(E)E2,MathKangarooContest2015-Pre-Ecolier6.Whichofthefollowingpicturescanberotatedsothatitwillcoincidewiththepictureshownontheright?以下哪个图片是经过旋转可以得到题目中的袋鼠？(A)(B)(C)(D)(E)7.Whatdoestheroundtowerlooklikefromabove?哪个图形是下面图形的俯视图？(A)(B)(C)(D)(E)8.Whatisthesumofthenumbersoutsidethesquare?方形外面的数字之和是多少？(A)30(B)60(C)90(D)45(E)1003,MathKangarooContest2015-Pre-Ecolier4pointproblems9.IttakeshalfanhourforJennytogohalfofthewayfromschooltohome.HowlongdoesittakeJennytogotoschoolfromhome?小J用半个小时的时间走了从学校到家一半的路程。请问小J从学校到家全程需要多久？(A)15minutes15分钟(B)halfanhour半个小时(C)1hour1个小时(D)2hours2个小时(E)40minutes40分钟10.Donmadetwobricksbystickingtwocubestogether.Whichconstructioncannotbebuiltofthesetwobricks?小D用两个正方体堆成两个立方体。请问下列哪个选项不能用这两个立方体堆成？(A)(B)(C)(D)(E)11.Markohas9sweetsandTomohas17sweets.HowmanysweetsdoesTomoneedtogivetoMarkosothateachboyhasthesamenumberofsweets?小M有9块糖果，小T有17块糖果。小T需要给小M多少糖果才能使得两人的糖果一样多？(A)2(B)3(C)4(D)5(E)612.Sixtowersarebuiltwithgreycubesandwhitecubes.Eachtowerismadewithfivecubes.Cubesofthesamecolorsdonottouch.Howmanywhitecubesarethere?由白色和灰色立方体构建成了六座高塔。每座高塔都有5个立方体，颜色交错。请问一共有多少个白色立方体？(A)10(B)11(C)12(D)18(E)304,MathKangarooContest2015-Pre-Ecolier13.Whichpieceismissing?下列图中缺失的是哪个图形？(A)(B)(C)(D)(E)14.Thedate5/5/2015hasthree5's.Theearliestdatethatwillhavethree5'sagainis:5/5/2015中有3个5。请问之后又会出现3个5的最早的日期是？(A)5/5/2025(B)15/6/2055(C)15/5/2050(D)25/5/2015(E)15/5/201515.Motherordered2pizzasandslicedeachoftheminto8piecesforVera'sbirthday.Therewere14childrenatthepartyincludingVera.Howmanyslicesareleftoverifmothergivesoneslicetoeachchild?妈妈为小V的生日宴会订了两张披萨并且将每张披萨都分成了8块。小V的生日宴会上有14个小小朋友（包括小V）。请问如果妈妈给每位小朋友一块披萨，那么还剩几块披萨？(A)5(B)4(C)3(D)2(E)116.Placeeachofthenumbers1,2,3,4,5intooneboxsothateverythingiscorrect.Whichnumbergoesintotheboxmarkedwithquestionmark?将数字1，2，3，4，5填入下列的方框中使得式子成立。请问问号的方框中要填入什么数字？(A)1(B)2(C)3(D)4(E)55,MathKangarooContest2015-Pre-Ecolier5pointproblems17.Therewere11flagsonastraighttrackofarace.Thefirstonewasatthestart,thelastoneatthefinish.Thedistancebetweeneachflagwas8m.Howlongwasthetrack?有11个旗子在直线跑道上。第一个旗子在起点，最后一个旗子在重点，如果每个旗子之间的距离为8m，那么请问这条直线跑道有多长？(A)24metres(B)48metres(C)72metres(D)80metres(E)88metres18.TheKangaroojumpsfromcircleSalongthelinetothenextcircleinonejump.Itisnotallowedtojumpintoanycirclemorethanonce.Inhowmanydifferentways,by一只袋鼠从圆S沿着线跳到下一个圆，一次只能跳一个圆，每个圆不能跳超过一次。请问，只跳四次，袋鼠有多少种不同的方式到达圆F？takingonly4jumps,cantheKangarooreachcircleF?(A)3(B)4(C)5(D)6(E)719.Ashipwasattackedbypirates.Onebyonetheywereclimbingaropetogettotheship.Thepiratecaptainwasinthemiddleandhewasalsotheeighthonefromthebeginning.Howmanypirateswereontherope?一条船被海盗袭击了。海盗从绳子上一个一个爬上船。海盗船长在中间，也是绳子上的第8个人，请问有多少个海盗在绳子上？(A)7(B)8(C)12(D)15(E)1620.During3daysJoythecatwascatchingmice.Eachday,Joycaught2micemorethanthepreviousday.Onthethirdday,Joycaughttwiceasmanymiceasonthefirstday.Intotal,howmanymicedidJoycatchduringthethreedays?小猫Joy三天都在抓老鼠。每天，Joy都会比前一天多抓两只老鼠。在第三天，Joy抓的老鼠是第一天的两倍。Joy在三天里总共抓了几只老鼠？(A)12(B)15(C)18(D)20(E)246,MathKangarooContest2015-Pre-Ecolier21.RickandTomwerebuildinganigloo.EachhourRickmade8snowbricksandTommadetwobricksless.Howmanybricksdidtheymaketogetherinthreehours?小R和小T正在盖一座房子。小R每小时制造8块砖，小T比小R少2块砖。问他们在三个小时内一起制作了多少块砖？(A)14(B)30(C)42(D)48(E)5422.Nickbuiltacubeusinggrayandwhitecubes(seefig.).Thecubeswiththesamecolordonothaveacommonface.Whichstatementdescribesthenumberofusedcubes?小N使用灰色和白色小立方体搭建了一个大立方体（如图）。每个颜色交错排列。请问下列那个选项正确描述了小立方体的数量？(A)onegraycubemorethanwhitecubes灰色小立方体比白色小立方体多一个(B)onewhitecubemorethangraycubes白色小立方体比灰色小立方体多一个(C)thesamenumberofgrayandwhitecubes灰色和白色小立方体数量相同(D)twowhitecubesmorethangraycubes白色小立方体比灰色小立方体多两个(E)twograycubesmorethanwhitecubes灰色小立方体比白色小立方体多两个23.Weleftforasummercampyesterdayat4:32PMandgottoourdestinationtodayat6:11AM.Forhowlongdidwetravel?我们昨天下午4:32从夏令营返回家，今天上午6:11到达，请问我们行走了多长时间？(A)13hours39minutes13小时39分钟(B)14hours39minutes14小时39分钟(C)14hours21minutes14小时21分钟(D)13hours21minutes13小时21分钟(E)2hours21minutes2小时21分钟24.Thenumbers3,5,7,8and9arewrittenintothesquares(seefig.)sothatthesumofthenumbersintherowisequaltothesumofthenumbersinthecolumn.Whichnumberiswritteninthecentralsquare?如图所示，将数字3、5、7、8和9这五个数字写入下列方格中，以使每行数字总和等于每列数字总和，那么，中心方格应该写入哪个数字？(A)3(B)5(C)7(D)8(E)9答案：DCBCBEBECBCCAEDEDDDCCAAD7,KangarooMathCompetition2016{PreEcolier3points#1.Whichletterontheboardisnotintheword\KOALA"?Hurufmanakahdiataspapantersebutyangtidakterdapatpadaperkataan\KOALA"?请问板上的哪些字母不在“KOALA"的字之内？(A)R(B)L(C)K(D)N(E)O#2.Howmanyropesarethereinthepicture?Berapakahbilangantalipadagambarberikut?请问图中共有多少条绳子？(A)2(B)3(C)4(D)5(E)6#3.Michaelbuiltahousewithmatchesasinthepicture.Howmanymatchesdidheuse?Michaelmembinasebuahrumahmenggunakanbeberapabatangmancis,sepertidalamgam-barberikut.Berapakahbatangmancisyangdigunakan?Michael用火柴建了一间屋子（如图）。请问他共用了多少根火柴？(A)19(B)18(C)17(D)15(E)131,KangarooMathCompetition2016{PreEcolier#4.Inacave,thereweretwohorses,onebearandthreebats.Later,vehorses,threebearsandfourbatsjoinedthem.Howmanyanimalsareinthecavenow?Didalamsuatugua,terdapatduaekorkuda,seekorberuang,dantigaekorkelawar.Kemu-dian,limaekorkuda,tigaekorberuangdanempatekorkelawarmenyertaikumpulantersebut.Berapakahbilanganhaiwandidalamguaitusekarang?在一个山洞里，有两匹马，一只熊和三只蝙蝠。之后，有五匹马，三只熊和四只蝙蝠加入它们。请问洞里共有多少只动物？(A)6(B)9(C)12(D)15(E)18#5.WhichpointcanwereachstartingfromthepointO,ifwecannotpassthroughwalls?TitikyangmanakahyangbolehdilawatibermuladarititikO,jikakitatidakbolehmenem-busidinding?从O点出发，不能穿越墙壁，我们能到达哪个点？(A)A(B)B(C)C(D)D(E)E#6.Matthadtodeliver yersaboutrecyclingtoallhousesnumberedfrom25to57.Howmanyhousesgotthe yers?Mattmenghantarrisalahmengenaikitarsemulakepadasemuarumahyangbernombor25hingga57.Berapakahbilanganrumahyangmenerimarisalahtersebut?Matt需要派送关于再循环的传单到所有25号至57号的屋子。请问共多少间屋子会得到传单？(A)31(B)32(C)33(D)34(E)352,KangarooMathCompetition2016{PreEcolier#7.Whichshapecanwemakewith10cubes?Bentukyangmanakahbolehdibinamenggunakan10kiub?以下哪个形状可以用10个立方体构成？(A)(B)(C)(D)(E)#8.Sophiearrangessomeballsonastaircaseinacertainwayasshowninthepicture.Howwilltheballsappearonthelevelwiththequestionmark?Sophiemenyusunbeberapabijiboladiatastanggasepertiyangditunjukkandidalamgambarberikut.Apakahsusunanbolapadatingkatyangterdapattandasoal?Sophie在楼梯上以某种方法排列了一些球（如图）。在含有问号这层的球应该是怎么排的？(A)(B)(C)(D)(E)3,KangarooMathCompetition2016{PreEcolier#9.AgathatheHenlayswhiteandbrowneggs.Lisaputssixeggsintheboxbelow.Twobrowneggscannottoucheachother.Atmost,howmanybrowneggscanLisaputinthebox?AgathasiAyammenghasilkantelur-telurberwarnaputihdanperang.Lisameletakkanenambijitelurdalamkotakberikut.Duatelurberwarnaperangtidakbolehbersentuhantarasatusamalain.BerapakahbilanganterbanyaktelurperangyangbolehLisaletakkandidalamkotaktersebut?Agatha这只母鸡会下白色和棕色的蛋。Lisa把六颗蛋放在下图的盒中。两颗棕色的蛋不可互相触碰。请问Lisa最多能在盒中放多少颗棕色的蛋？(A)1(B)2(C)3(D)4(E)5#10.Kangais1yearand3monthsoldnow.InhowmanymonthswillKangabe2yearsold?Kangaberumur1tahun3bulansekarang.BerapakahbilanganbulanlagisehinggaKangaberumur2tahun?Kanga现在是1岁3个月大。请问再过多少个月Kanga就会2岁了？(A)3(B)5(C)7(D)8(E)94,KangarooMathCompetition2016{PreEcolier4points#11.GrannywentouttotheyardandcalledallthehensandhercatnamedKitty.All20legsrantoher.HowmanyhensdoesGrannyhave?NenekpergikehalamanrumahdanmemanggilsemuaayamnyadankucingnyayangbernamaKitty.Kesemua20kakihaiwanberlarikearahNenek.BerapakahbilanganayamyangdimilikiolehNenek?奶奶出去院子把所有的母鸡和她的猫Kitty叫来。所有的20只脚向她跑来。请问奶奶共有多少只母鸡？(A)11(B)9(C)8(D)6(E)4#12.InBabyRoo'shouse,eachroomisconnectedtoanyneighboringroombyadoor,asinthepicture.BabyRoowantstogetfromtheroomAtotheroomB.Whatistheleastnumberofdoorsthathewillneedtogothrough?DidalamrumahBabyRoo,setiapbilikdisambungkandenganbilikbersebelahandengansatupintu,sepertidalamgambarberikut.BabyRooinginpergidaribilikAkebilikB.Bera-pakahbilanganpintuyangpalingsedikityangperludilaluinya?在BabyRoo的屋子里，每一个房间和相邻的房间连接着一扇门（如图）。BabyRoo想从A房间去到B房间。请问他最少需要通过多少扇门？(A)3(B)4(C)5(D)6(E)75,KangarooMathCompetition2016{PreEcolier#13.Therearetwelveroomsinabuilding.Eachroomhastwowindowsandonelight.Lastevening,eighteenwindowswerelighted.Inhowmanyroomswasthelighto?Terdapatduabelasbilikdidalamsuatubangunan.Setiapbilikmempunyaiduatingkapdansatulampu.Padamalamsemalam,lapanbelastingkapkelihatanbercahaya.Berapakahbilanganbilikyanggelap?在一栋建筑物里有12个房间。每个房间内有两扇窗口和一盏灯。昨天晚上，共有18扇窗口是亮着的。请问共有多少个房间没有开灯？(A)2(B)3(C)4(D)5(E)6#14.Maryiswalkingalongtheroadandshereadsonlytheletterslocatedonherrightside.Movingfrompoint1topoint2,whatisthewordshewillget?Marysedangberjalansambilmembacahuruf-hurufyangterletakdisebelahkananjalantersebut.Dalamperjalanandaritempat1ketempat2,apakahperkataanyangakandibacanya?Mary沿着路走，但她只读取在她右边的字母。从1这个点出发走到2这个点。请问她会读取什么字母？(A)KNAO(B)KNGO(C)KNR(D)AGRO(E)KAO#15.Whichofthefollowingpicturescannotbemadebyusingguresliketheonegivenbelow?Gambaryangmanakahtidakbolehdibinadenganmenggunakanbentukberikut?以下哪个选项中的图是不能被以下这个图所构成的？(A)(B)(C)(D)(E)6,KangarooMathCompetition2016{PreEcolier#16.Amyusedsixequalsmallsquarestobuildthegure.Whatistheleastnumberofequalsmallsquaressheshouldaddtothepictureinordertoobtainalargersquare?Amymenggunakan6petakkecilyangsamasaizuntukmendapatkanbentukberikut.Apakahbilanganpetaksamasaizyangpalingsedikityangperluditambahkankepadabentuktersebutuntukmendapatkanbentuksegiempatsamayanglebihbesar?Amy用了六个相同大小的小正方形构成了一个形状（如图）。请问她最少需要再加多少个相同的小正方形来构成一个更大的正方形？(A)6(B)8(C)9(D)10(E)12#17.Fivesparrowssatonawireasshowninthepicture.Someofthemlookedtotheirleft,otherslookedtotheirright.Eachsparrowchirpedonlyoncetoeachbirditsawonitsside.Forexample,thethirdsparrowfromtheleftchirpedtwotimes.Intotal,howmanytimesdidtheychirp?Limaekorburunghinggapdiatassuatuwayarsepertididalamgambarberikut.Adayangmenolehkekiri,danadayangmenolehkekanan.Setiapburungberkicausekalikepadasetiapburungyangdilihatnya.Contohnya,burungyangketigadarikiriberkicausebanyakduakali.Berapajumlahkicauansemuaburungtersebut?有五只麻雀站在一条线上（如图）。它们有些看向左边，有些看向右边。每一只麻雀每看见一只麻雀便会吱一声。比如说，从左算起的第三只麻雀吱两声。请问它们总共会吱多少声？(A)6(B)8(C)9(D)10(E)127,KangarooMathCompetition2016{PreEcolier#18.Thereare4ladybirdsinthepicture.Eachonesitsona ower.Thedierencebetweenthenumberofdotsontheirleftandrightwingsequalsthenumberoftheleaves.Thesumofthenumberofdotsonbothwingsequalsthenumberofthepetals.Whichofthefollowing owershasnoladybird?Terdapat4ekorkumbangdidalamgambarberikut.Setiapkumbanghinggapdiatassekun-tumbunga.Bezaantarabilangantitikpadasayapkiridankananmerekaadalahsamadenganbilangandaun.Hasiltambahbilangantitikpadakedua-duasayapmerekaadalahsamadenganbilangankelopak.Bungayangmanakahdiantarayangberikuttidakdihinggapikumbang?图中有四只瓢虫，每只爬在一朵花上。它们左右翅膀上点的差数是叶子的数量，翅膀上的点数的和是花瓣的数量。请问哪朵花没有瓢虫？(A)(B)(C)(D)(E)8,KangarooMathCompetition2016{PreEcolier#19.Oneachofsixfacesofacubethereisoneofthefollowingsixsymbols:|,},~,•,and.Inthepicturewecanseethiscubeshownintwodierentpositions.Whichsymbolisoppositethe?Padasebuahkiub,setiappermukaannyamengandungisalahsatusimbolberikut:|,},~,•,dan.Dalamgambarberikut,kitamelihatkiubtersebutdariduakedudukanberbeza.Apakahsimbolyangterletakbertentangandengan?在一个立方体的每一面有下列符号中的其中一个：|，}，~，•，和。在图中我们能看见这个立方体以两种不同的方法被摆放。请问哪个符号在的对面？(A)(B)}(C)~(D)•(E)|#20.Thenumbers1,5,8,9,10,12and15aredistributedintogroupswithoneormorenumbers.Thesumofthenumbersineachgroupisthesame.Whatisthelargestnumberofgroups?Nombor1,5,8,9,10,12dan15dibahagikankepadabeberapakumpulan,dengansetiapkumpulanmengandungisatuataulebihnombor.Hasiltambahsemuanombordalamsetiapkumpulanadalahsama.Apakahbilangankumpulanyangpalingbanyakyangbolehdibentuk?数目1，5，8，9，10，12和15被分配入一些组里（每组由一个或更多的数目组成）。每组数目的和是相同的。请问最多可分为多少组？(A)2(B)3(C)4(D)5(E)6ENDOFPAPER答案：DBDECCADCECBBAEDDEAB9,KangarooMathCompetition2017{PreEcolier3points#1.Whocatchesthesh?Siapakahyangmenangkapikantersebut?请问是谁钓到了那条鱼？(A)Adam(B)Basil(C)Charlie(D)David(E)Edgar#2.Inthepicturethereare5-pointed,6-pointedand7-pointedstars.Howmany5-pointedstarsarethere?Padagambarberikutterdapatbintangdengan5bucu,6bucudan7bucu.Berapakahbilanganbintangdengan5bucu?图中有数个5角星、6角星和7角星。请问图中有多少个5角星？(A)2(B)3(C)4(D)5(E)91,KangarooMathCompetition2017{PreEcolier#3.Thecakeinthepictureiscutanddividedamongsomechildren.Eachchildreceivesapieceofthecakewiththreecherriesontop.Howmanychildrenarethere?Kekpadagambarberikutdipotongdandibahagikankepadabeberapaorangkanak-kanak.Setiaporangmemperolehsepotongkekdengantigabijiceridiatasnya.Berapakahbilangankanak-kanakyangada?图中的蛋糕被切后平分给了几位小朋友。每一位小朋友都获得了一块有三颗樱桃的蛋糕。请问共有几位小朋友？(A)3(B)4(C)5(D)6(E)8#4.Ifwecutalongthedottedline,howmanypartswilltheropesplitinto?Jikakitamemotongmengikutgarisanputus-putus,berapakahbahagiantaliyangakanter-hasil?请问如果我们依着这条直线剪，这条绳子会被切成几个部分？(A)5(B)6(C)7(D)8(E)92,KangarooMathCompetition2017{PreEcolier#5.Ellenwantstodecoratethebutter ywiththegivenstickers.Whichbutter ycanshemake?Ellenmahumenghiasrama-ramaberikutmenggunakanpelekatyangdiberikan.Rama-ramayangmanakahbolehdibuatnya?Ellen想要用这些贴纸设计这只蝴蝶。请问她可以设计出哪只蝴蝶？(A)(B)(C)(D)(E)13111111,KangarooMathCompetition2017{PreEcolier#6.Howmanybrickslikethisaremissingintheigloo?Berapakahbilanganbataberbentuksepertiiniyanghilangdariiglutersebut?请问这个雪屋缺少几个像这样的砖块？(A)6(B)7(C)8(D)9(E)10#7.Inthepictureweseeastringwithfourbeads.Whichofthestringsbelowisthesamestring?Seutasgelangdenganempatbijimanikditunjukkanpadagambarberikut.Gelangyangmanakahsamadengangelangpadagambartersebut?图中我们看见一条线串着四颗珠子。请问以下哪条线与这条线相同？(A)(B)(C)(D)(E)4,KangarooMathCompetition2017{PreEcolier#8.Wechoosefournumbersfrom1,3,4,5,and7.Wewriteonenumberineachsquaresothattheequationiscorrect.Whichnumberisnotchosen?Kitamemilihempatnombordaripada1,3,4,5,dan7.Kitatuliskansatunombordidalamsetiapkotakberikutsupayapersamaantersebutbenar.Nombormanakahyangtidakdipilih?我们从1、3、4、5和7中选四个数字。然后，我们在每一个格子里写上一个数字，让这个等式变得正确。请问哪个数字没被选中？(A)1(B)3(C)4(D)5(E)7#9.InthecountryofGemlandyoucantradethreediamondsforoneruby,oronediamondfortwo owers.Howmany owerscanbetradedfortworubies?DinegaraGemlandkitabolehtukarkantigaberlianuntuksatudelima,atausatuberlianuntukduabunga.Berapakahbilanganbungayangbolehdidapatidenganmenukarkanduade-lima?在宝石城这个国家里，你可以用一颗红宝石换取三颗钻石，或者用一颗钻石换取两朵花。请问两颗红宝石可以换取几朵花？(A)6(B)8(C)10(D)12(E)145,KangarooMathCompetition2017{PreEcolier#10.JimandBensatontheFerriswheelasinthepicturebelow.TheFerriswheelturnedandBenwasmovedtotheplacewhereJimwasbefore.Atthatmoment,wherewasJim?JimdanBendudukdiatasrodaFerrissepertipadagambardibawah.RodaFerristerse-butberpusingdankedudukanBentelahberubahkekedudukanJimyangasal.DimanakahkedudukanJimsekarang?如图所示，Jim和Ben坐在摩天轮上。摩天轮旋转后，Ben已经被移到Jim原本的位置上。请问这时候Jim在哪里？BENJIMJIMJIMJIM(A)(B)(C)JIM(D)(E)JIM6,KangarooMathCompetition2017{PreEcolier4points#11.Alfredisrotatingashapesixtimes.Therstthreerotationsareshowninthepicture.Howdoestheshapelooklikeattheend?Alfredmemutarkansuatubentuksebanyakenamkali.Tigaputaranyangpertamaditun-jukkanpadagambarberikut.Bagaimanakahrupabentuktersebutpadaakhirnya?Alfred正在旋转着一个形状六次。前三次的旋转已经被显示在图中。请问那个形状最后看起来是怎样的？123(A)(B)(C)(D)(E)#12.Whichpicturehastwiceasmanyapplesastherearecarrots,andtwiceasmanycarrotsastherearepears?Gambaryangmanakahmenunjukkanbilanganepalduakaligandabilanganlobakmerah,danbilanganlobakmerahduakaligandabilanganpear?请问以下哪个图片中苹果的数量是萝卜的数量的两倍，并且萝卜的数量是梨的数量的两倍？(A)(B)(C)(D)(E)7,KangarooMathCompetition2017{PreEcolier#13.BrianandWilliamstandinline.Brianknowsthatthereare7peopleinfrontofhim.Williamknowsthatthereare11peopleintheline.IfBrianisjustinfrontofWilliam,howmanypeopleinthelinearebehindWilliam?BriandanWilliamberdiridalamsatubarisan.Brianmengetahuibahawaterdapat7orangdihadapannya.Williammengetahuibahawaterdapat11orangdalambarisantersebut.JikaBrianberdiribetul-betuldihadapanWilliam,berapakahbilanganorangyangberdiridibelakangWilliam?Brian和William在一起排队。Brian知道他前面有7个人。William知道这一排总共有11个人。请问如果Brian是站在William前面的那一位，那么有多少人站在William的后面？(A)2(B)3(C)4(D)5(E)6#14.Nowitishalfpastoneo'clock.Whattimewasittwoandahalfhoursago?Waktusekarangmenunjukkanjamsatusetengah.Apakahwaktupadaduajamsetengahyanglalu?现在是一点半。请问两个半小时之前是什么时间？12111102938475(A)(B)(C)612111102938475(D)(E)68,KangarooMathCompetition2017{PreEcolier#15.Sepehrhastwopaperboards.Hecoloredonesideofeachpaperboardlikethefollowing.Whichshapecanhemakeusingbothpaperboards?Sepehrmempunyaiduakeratankertas.Diamewarnakansatupermukaanpadasetiapkeratantersebutsepertigambardibawah.Bentukyangmanakahbolehdibuatnyadenganmeng-gunakankedua-duakeratankertastersebut?Sepehr有两张卡片。他把每张卡片的其中一面涂成下图的样子。请问他可以用这两张卡片排成怎样的形状？(A)(B)(C)(D)(E)9,KangarooMathCompetition2017{PreEcolier#16.Akangaroomakes10jumpsin1minuteandrestsfor3minutes.Thenheagainmakes10jumpsin1minuteandrestsfor3minutes,andsoon.Whatistheleastamountofminutesthatheneedstomake30jumps?Seekorkanggarumembuat10lompatandalammasa1minitdanberehatselama3minit.Kemudian,iamembuat10lompatanlagidalammasa1minitdanberehatselama3minit,danbegitulahseterusnya.Berapakahjumlahminityangpalingsedikituntukiamelakukan30lompatan?一只袋鼠在1分钟内跳10次后再休息3分钟。然后，它又在1分钟内跳10次后再休息3分钟，以此类推。请问它需要最少多少分钟来跳30次？(A)4(B)5(C)7(D)8(E)910,KangarooMathCompetition2017{PreEcolier#17.Whichstamphasbeenusedtogetthepicturebelow?Copyangmanakahtelahdigunakanuntukmendapatkangambardibawah?请问哪个印章可以印出下图？(A)(B)(C)(D)(E)11,KangarooMathCompetition2017{PreEcolier#18.Eachofthe4keystsoneofthe4padlocks.Thenumbersonthekeysrefertothelettersonthepadlocks.Whatiswrittenonthelastpadlock?Setiapsatukunciyangberikuthanyabolehmembukasatumangga.Nombor-nomborpadakuncitersebutmerujukkepadahuruf-hurufpadamangga.Apakahyangtertulispadamanggayangterakhir?每一把钥匙可以打开其中一把锁。钥匙上的号码代表着锁上的字母。请问最后一把锁上写着什么？(A)GDA(B)ADG(C)GAD(D)GAG(E)DAD12,KangarooMathCompetition2017{PreEcolier#19.InOldMcDonald'sbarnthereareonehorse,twocowsandthreegoats.Howmanymorecowsdoesthebarnneedsothatthenumberofallanimalsistwicethenumberofcows?DikandangOldMcDonaldterdapatseekorkuda,duaekorlembudantigaekorkambing.Berapakahbilanganlembuyangperluditambahsupayabilangansemuahaiwanadalahduakaligandabilanganlembu?在OldMcDonald的农场里养着一匹马、两头牛和三只羊。请问农场还需要多少头牛才能使到所有动物的总数量是牛的总数量的两倍？(A)0(B)1(C)2(D)3(E)4#20.Giventhreecardswithholes.Thetopofeachcardiswhiteandthebottomisgrey.Basilputsastringthroughtheholes,asinthegurebelow.Byarrangingthecards,whichgureispossibletoget?Terdapattigakepingkadyangberlubang.Permukaanatassetiapkadberwarnaputihdanpermukaanbawahpulaberwarnakelabu.Basilmemasukkantalimelaluilubang-lubangtersebut,sepertipadagambardibawah.Denganmenyusunkad-kadtersebut,gambaryangmanakahbolehdidapati?给定三张有洞的卡片。每一张卡片上面是白色的，下面是灰色的。如图所示，Basil把一条线穿过每一个洞。请问他通过排列那些卡片，有可能获得以下哪一项？(A)(B)(C)(D)(E)ENDOFPAPER答案：DCBAAAECDAEDABCEEDCE13,KangarooMathCompetition2018{PreEcolier3points#1.Whatdowegetwhenwechangethecoloursfromyellowtoblack,andblacktoyellow?Apakahhasilnyajikakitamenukarwarnakuningkepadahitam,danhitamkepadakuning?请问在以下图形中，把黄色换成黑色，黑色换成黄色过后，得到的图形是哪一个？(A)(B)(C)(D)(E)#2.Aliceconnectstheladybirdsintheorderofincreasingnumberoftheirdots.Shestartswiththeladybirdwithonedot.WhichgurewillAlicedraw?Alicemenyambungkankumbang-kumbangmengikuturutanbilangantitikyangmeningkat.Diabermuladengankumbangbertitiksatu.BentukapakahyangdilukisolehAlice?Alice想画线把以下瓢虫连起来。她根据瓢虫上黑点的数量，顺序把瓢虫连起。请问，如果她从有一个黑点的瓢虫开始，以下哪一个是Alice会画出的图形？(A)(B)(C)(D)(E)1,KangarooMathCompetition2018{PreEcolier#3.Maryhasfour-corneredstarslikethegureontheleft.Howmanystarsdoessheneedtogetthegureontheright?Marymempunyaibeberapabintangberbucuempatsepertirajahdisebelahkiri.Berapakahbintangyangdiperlukanuntukmenghasilkanbentukdisebelahkanan?如左图所显示，Mary有一些四角的星星。请问Mary要做出右边的图形，需要多少个星星？(A)5(B)6(C)7(D)8(E)9#4.Thispizzawascutintoequalparts.Howmanypartshavebeentaken?Pizaberikutdipotongkepadabeberapabahagianyangsamabesar.Berapakahbahagianyangtelahdiambil?以下的披萨被切成一样大小的片。请问几片披萨已经被拿去了？?(A)1(B)2(C)3(D)4(E)5#5.Howmanykangaroosmustbemovedfromoneparktotheotherinordertogetthesamenumberofkangaroosinbothparks?Berapakahkanggaruyangperludipindahkandarisatutamanketamanyanglainuntukmendapatkanbilangankanggaruyangsamadikedua-duataman?在两个公园里，各有数只袋鼠。我想把一些袋鼠从一个公园带去另一个公园，以让两个公园里有一样多的袋鼠。请问我需要带走几只袋鼠？1(A)4(B)5(C)6(D)8(E)92,KangarooMathCompetition2018{PreEcolier#6.Whichoftheseladybirdshasto yawaysothattherestofthemhave20dotsintotal?Kumbangyangmanakahperluterbangmeninggalkanyanglainsupayakumbang-kumbangyangtinggalmempunyaisejumlah20titik?请问以下哪一只瓢虫必须飞走，以让剩下的瓢虫总共有20个点？(A)(B)(C)(D)(E)#7.Emiliebuildstowersinthefollowingpattern.Whichonewillbethegurenumber16?Emiliemembinamenara-menaramengikutsusunansepertiberikut.Menarayangmanakahmerupakanrajahyangke-16?Emilie按照以下规律建造塔。请问第16个图形会是以下哪个图形？(A)(B)(C)(D)(E)3,KangarooMathCompetition2018{PreEcolier#8.Theodorstackedsomeringsasinthepicturebelow.Howmanyringswillheseelookingatitfromabove?Theodormenyusunbeberapagelungsepertidalamrajahberikut.Berapakahgelungyangdapatdilihatdariatas?如图所示，Theodor把几个环叠了起来。请问当他从上面看下来，会看到多少个环？(A)1(B)2(C)3(D)4(E)5#9.Thetwotransparentsquaresareputontopofeachother.Whatcanyousee?Duapetakyanglutsinarinidisusunsupayasalahsatunyaterletakdiatasyanglain.Apakahyangdapatdilihat?这两个透明的正方形被叠在一起。请问以下哪一个选择是你可以看到的图形？(A)(B)(C)(D)(E)#10.Peterdrewapatterntwice,asinthegure.Whichpointwillhepasswhenhedrawsthesamepatternforthethirdtime?Petermelukiscorakberikutduakali,sepertiditunjukkanpadarajah.Titikmanakahyangakandilaluinyajikadiamelukiscorakyangsamauntukkaliyangketiga?如图所示，Peter重复地画了两次同样的图案。请问，如果他把同样的图案重复第三次，会经过哪一个点？BADEC(A)A(B)B(C)C(D)D(E)E4111111,KangarooMathCompetition2018{PreEcolier4points#11.Lisahas4pieces,butsheonlyneeds3tollthegivenframe.Whichoneisleftover?Lisamempunyai4kepinganberikut,tetapidiahanyamemerlukan3kepinganuntukmengisiruangyangdiberi.Kepinganmanakahyangtidakdigunakan?Lisa有四块形状，可是要装满给定的框只需要其中三个。请问剩下的是哪一块形状？ABCD(A)A(B)B(C)C(D)D(E)CorD/CatauD/C或D#12.Dianatookpartinanarcherycontest.Onherrsttry,Dianagot6pointswiththreearrowsonthetarget,asintheleftpicture.Thesecondtimeshegot8points,asinthemiddlepicture.Howmanypointsdidshegetthethirdtime?Dianamengambilbahagiandalamacaramemanah.Padacubaanpertama,Dianamendapat6markahdengantigapanahpadasasaran,sepertipadagambarkiri.Padacubaankedua,diamendapat8markah,sepertipadagambartengah.Berapakahmarkahyangdiperolehinyapadacubaanketiga?Diana参加了射箭比赛。如左边图形显示，她第一次射中三支箭，得6分。如中间图形显示，第二次她得了8分。请问第三次，Diana得了几分？(A)8(B)10(C)12(D)14(E)1615,KangarooMathCompetition2018{PreEcolier#13.Howmanyofthesedrawingsshowtherighthand?Berapakahbilanganlukisanberikutyangmenggambarkantangankanan?请问以下图画中，有多少个显示着右手？(A)3(B)4(C)5(D)6(E)7#14.Charlescutaropeinthreeequalpiecesandthenmadesomeknotswiththem.Whichgureshowsthethreepiecescorrectly?Charlesmemotongseutastalikepadatigabahagianyangsamapanjang,dankemudianmembuatbeberapaikatanpadatalitersebut.Rajahyangmanakahmenunjukkantigabahagiantalitersebutdenganbetul?Charles把一条绳子剪成三条一样长的绳子，再用这三条绳子来绑一些结。请问哪一个图画正确地显示这三条绳子？(A)(B)(C)(D)(E)6,KangarooMathCompetition2018{PreEcolier#15.Thenumberoffrogsthatcantunderamushroomisequaltothenumberofdotsonthemushroom.Thegurebelowshowsonesideofeachmushroom.Thenumberofdotsontheothersideisthesame.If30frogsareseekingshelterfromtherain,howmanyfrogswillgetwet?Bilangankatakyangbolehberteduhdibawahsuatucendawanadalahsamadenganbilangantitikpadacendawantersebut.Rajahdibawahinimenunjukkansatusisibagisetiapcendawan.Bilangantitikpadasisisebaliknyaadalahsama.Jikaada30ekorkatakyanginginberlindungdaripadahujan,berapakahbilangankatakyangakanbasah?能在一个蘑菇下避雨的青蛙的个数，和那一个蘑菇上点的数量一样。图中显示每一个蘑菇的一边，而另一边的点和这一边的点是一样多的。请问，现在有30只青蛙要避雨，有几只青蛙会淋湿？(A)2(B)3(C)4(D)5(E)6#16.Thecostof1ice-creamis1Euro(e).Thereisapromotionsoyoucanbuy6ice-creamsfor5Euros.Howmanyice-creamsatmostcouldyoubuywith36Euros?Hargasatuaiskrimialah1Euro(e).Suatupromosisedangdibuatyangmembolehkankitamembeli6aiskrimdenganharga5Euro.Berapakahbilanganaiskrimpalingbanyakyangbolehdibelidengan36Euro?一个冰淇淋的价钱是1欧元（1e）。因为现在有优惠，你可以用5欧元来买6个冰淇淋。请问用36欧元，最多可以买到几个冰淇淋？(A)30(B)36(C)42(D)43(E)457,KangarooMathCompetition2018{PreEcolier#17.Ashipcaptainhastwochests.Thereare10coinsintheleftchest,whiletheotherisempty.Startingtomorrow,thecaptainwillput1coinintheleftchestand2coinsintherightchesteveryday.Inhowmanydayswillthetwochestshavethesamenumberofcoins?Seorangkaptenkapalmempunyaiduapeti.Terdapat10syilingdidalampetidisebelahkiri,manakalapetidisebelahkananadalahkosong.Bermulaesok,kaptentersebutakanmemasukkan1syilingkedalampetikiridan2syilingkedalampetikananpadasetiaphari.Berapaharikahyangdiperlukansupayakedua-duapetimempunyaibilangansyilingyangsama?有一位船长拥有两个箱子。左边的箱子装着10个钱币，而另一个箱子是空的。从明天开始，船长每天会把一个钱币放进左边的箱子，然后把两个钱币放进右边的箱子。请问在多少天后，两个箱子里面会有一样多的钱币？(A)5(B)8(C)10(D)12(E)14#18.Astudenthadsomesticksoflength5cmandwidth1cm.Usingthesticksheconstructedthefencebelow.Whatisthelengthofthefence?Seorangpelajarmempunyaibeberapakepingankayudenganpanjang5cmdanlebar1cm.Beliaumembentukpagarberikutmenggunakanbeberapakepingankayutersebut.Apakahpanjangbagipagartersebut?一位学生有一些木棒，每一个木棒长5cm,宽1cm。他用这些木棒建了以下的篱笆。请问篱笆的长度是多少？(A)20cm(B)21cm(C)22cm(D)23cm(E)25cm8,KangarooMathCompetition2018{PreEcolier#19.TheroadfromAnna'shousetoMary'shouseis16kmlong.TheroadfromMary'shousetoJohn'shouseis20kmlong.TheroadfromthecrossroadtoMary'shouseis9kmlong.HowlongistheroadfromAnna'shousetoJohn'shouse?PanjangjalandarirumahAnnakerumahMaryialah16km.PanjangjalandarirumahMarykerumahJohnialah20km.PanjangjalandaripersimpanganjalankerumahMaryialah9km.BerapakahpanjangjalandarirumahAnnakerumahJohn?从Anna的家去Mary的家的路长16km。从Mary的家去John的家的路长20km。从交叉路口去Mary的家的路长9km。请问从Anna的家去John的家的路有多长？(A)7km(B)9km(C)11km(D)16km(E)18km9,KangarooMathCompetition2018{PreEcolier#20.Nellybought4toysfromthetoystore.Theircostssatisfythethreeequationsbelow.Whatarethecheapestandthemostexpensivetoys?Nellymembeli4permainandaripadakedaipermainan.Hargapermainantersebutmemenuhitigapersamaanberikut.Apakahpermainanyangpalingmurahdanyangpalingmahal?Nelly从玩具店买了四个玩具。这四个玩具的价钱符合以下的三个等式。请问最便宜和最贵的玩具分别是哪个玩具?(A)&(B)&(C)&(D)&(E)&ENDOFPAPER答案：EDDDBBECADACCBADCBEE10,,,,,,,,,,,MathKangaroo2019AnswerKeyQuestion#Level1&2Level3&4Level5&6Level7&8Level9&10Level11&121DEBEDA2CCCEBE3CACCEE4EDEDCD5BAEDBC6CADDBB7ADDACB8CBCBBC9EBBDAD10BCAABD11ACCACD12EECBCB13BBCEEE14BABBBE15EDACDD16DDCCBC17DEBDAA18ACCBCB19DBACDA20BEDCEE21CBCBAB22DEEBEB23ABDCBC24CDCEDE25BECA26BACD27DCDE28AEBC29DEAB30CDCC,KangarooMathCompetition2020(China)–PreEcolier3points#1.Thekangaroogoesup3stepseachtimetherabbitgoesdown2steps.Onwhichstepdotheymeet?túzhōngdedàishǔměixiàngshàngtiào3cénglóutī，tùzijiùhuìxiàngxiàtiào2céng。qǐngwèntāmenhuìzàinǎyīcéngjiànmiàn？图中的袋鼠每向上跳3层楼梯，兔子就会向下跳2层。请问它们会在哪一层见面？(A)3(B)4(C)5(D)6(E)7#2.Mordkatookaseleinfrontofthiscastle.WhichofthepicturesbelowcouldbeMordka'sphoto?xiǎomòzàizhèzuòchéngbǎoqiánpāilezhāngzìpāizhào。yǐxiànǎzhāngtúpiànkěnéngshìxiǎomòdezhàopiàn？小莫在这座城堡前拍了张自拍照。以下哪张图片可能是小莫的照片？(A)(B)(C)(D)(E)1,KangarooMathCompetition2020(China)–PreEcolier#3.Nellyarrangedthe4piecestomakeapictureofakangaroo.Howarethepiecesarranged?xiǎonàiyàobǎyǐxià4zhāngtúpiànchóngxīnpáilièchéngdàishǔdehuàxiàng。qǐngwèngāirúhépáilièzhèxiētúpiàn？小奈要把以下4张图片重新排列成袋鼠的画像。请问该如何排列这些图片？12344433344324134433344322112211423112211221(A)(B)(C)(D)(E)#4.Danialisarranginghistoysinaline,asshownbelow.Thepatternrepeatseveryvetoys.Whichtwotoyswillbenext?xiǎodānbǎtādewánjùànzhàoxiàtúsuǒshìdeshùnxùpáichéngyīháng。měiwǔgèwánjùbèipáilièhòu，tāzàiyīzhàotóngyàngde小丹把他的玩具按照下图所示的顺序排成一行。每五个玩具被排列后，他再依照同样的shùnxùchóngfùbǎifàng。qǐngwènjiēxiàláishìnǎliǎnggèwánjù？顺序重复摆放。请问接下来是哪两个玩具？(A)(B)(C)(D)(E)2,KangarooMathCompetition2020(China)–PreEcolier#5.Josehastwocardsofthesamesize.CardAhasfourholescutinit.JoseplacescardAdirectlyontopofcardB.WhatcanJosesee?xiǎohéyōngyǒuliǎngzhāngxiāngtóngdàxiǎodekǎpiàn。kǎpiànAshàngyǒusìgèxiǎodòng。xiǎohéjiāngkǎpiànAzhíjiēfàngzài小何拥有两张相同大小的卡片。卡片A上有四个小洞。小何将卡片A直接放在kǎpiànBdeshàngmiàn。qǐngwènxiǎohéhuìkàndàoshénme？卡片B的上面。请问小何会看到什么？(A)(B)(C)(D)(E)#6.Marymadeashapeusingsomewhitecubesand14greycubes.Howmanyofthesegreycubescannotbeseeninthepicture?xiǎolìnáleyīxiēbáisèdezhèngfāngtǐhé14gèhuīsèdezhèngfāngtǐpīnchéngyǐxiàxíngzhuàng。qǐngwènzàitúzhōngháiyǒu小丽拿了一些白色的正方体和14个灰色的正方体拼成以下形状。请问在图中还有duōshǎogèhuīsèdezhèngfāngtǐshìwúfǎbèikàndàode？多少个灰色的正方体是无法被看到的？(A)1(B)3(C)5(D)6(E)83,KangarooMathCompetition2020(China)–PreEcolier#7.Annadrawsapictureofsomeshapes.Herpicturecontains3blacktrianglesandfewerthan4squares.WhichcouldbeAnna'spicture?xiǎoānhuàlejǐgètúxíng。tādetúhuàlǐyǒu3gèhēisèsānjiǎoxínghéshǎoyú4gèzhèngfāngxíng。qǐngwènyǐxiànǎzhāngtúkě小安画了几个图形。她的图画里有3个黑色三角形和少于4个正方形。请问以下哪张图可néngshìxiǎoānhuàde？能是小安画的？(A)(B)(C)(D)(E)#8.Thebraidinthegureiscomposedofthreethreads.Onethreadisgreen,oneisblueandoneisred.Whatcoloursarethethreethreads?xiàtúshìyīgǔyóusāngēnshéngzibiānchéngdemáhuāshéng，qízhōngyīgēnshéngzishìlǜsède，yīgēnshìlánsède下图是一股由三根绳子编成的麻花绳，其中一根绳子是绿色的，一根是蓝色的，háiyǒuyīgēnshìhóngsède，qǐngwèndàibiānhàodezhèsāngēnshéngzifēnbiédōushìshénmeyánsè？还有一根是红色的，请问带编号的这三根绳子分别都是什么颜色？123(A)1isblue,2isgreenand3isred.(B)1isgreen,2isredand3isblue.1hàowéilánsè，2hàowéilǜsè，3hàowéihóngsè1hàowéilǜsè，2hàowéihóngsè，3hàowéilánsè1号为蓝色，2号为绿色，3号为红色1号为绿色，2号为红色，3号为蓝色(C)1isred,2isblueand3isgreen.(D)1isgreen,2isblueand3isred.1hàowéilǜsè，2hàowéilánsè，3hàowéihóngsè1hàowéihóngsè，2hàowéilánsè，3hàowéilǜsè1号为红色，2号为蓝色，3号为绿色1号为绿色，2号为蓝色，3号为红色(E)1isblue,2isredand3isgreen.1hàowéilánsè，2hàowéihóngsè，3hàowéilǜsè1号为蓝色，2号为红色，3号为绿色4,KangarooMathCompetition2020(China)–PreEcolier4points#9.Whichpiececompletesthepicture?yǐxiànǎyīzhāngtúkěyǐyòngyútiánbǔtúpiànzhōngdekòngbái？以下哪一张图可以用于填补图片中的空白？52,KangarooMathCompetition2020(China)–PreEcolier#10.Avillagewith12houseshasfourstraightroadsandfourcircularroads.Themapshows11ofthehouses.Oneachstraightroadthereare3houses.Oneachcircularroadtherearealso3houses.Whereisthe12thhouse?yīgècūnzhuāng，yǒu12jiānfángzi，háiyǒu4tiáozhílùhé4tiáohuánxínglù。yǐxiàtúpiànyīgòngxiǎnshìle11jiānfángzi。一个村庄，有12间房子,还有4条直路和4条环行路。以下图片一共显示了11间房子。měitiáozhílùshàngyàoyǒu3jiānfángzi，měitiáohuánxínglùshàngyěyàoyǒu3jiānfángzi。qǐngwèndì12jiānfángzihuìzàinǎlǐ？每条直路上要有3间房子，每条环形路上也要有3间房子。请问第12间房子会在哪里？BACDE(A)A(B)B(C)C(D)D(E)E#11.Fiveshapesaremadebygluingcubestogether.Whichshapeusesthemostcubes?bǎyīxiēzhèngfāngtǐniánhézàiyīqǐkěyǐzhìzuòchéngyǐxiàdewǔgèxíngzhuàng。qǐngwènnǎzhǒngxíngzhuàngshǐyòngde把一些正方体粘合在一起可以制作成以下的五个形状。请问哪种形状使用的zhèngfāngtǐzuìduō？正方体最多？(A)(B)(C)(D)(E)6,KangarooMathCompetition2020(China)–PreEcolier#12.Anumberiswrittenoneachpetaloftwo owers.Onepetalishidden.Thesumsofthenumbersonthetwo owersareequal.Whatnumberiswrittenonthehiddenpetal?liǎngduǒhuādeměipiànhuābànshàngdōuxiěyǒushùzì，qízhōngyīpiànhuābànbèidǎngzhùle。rúguǒliǎngduǒhuāshàngde两朵花的每片花瓣上都写有数字，其中一片花瓣被挡住了。如果两朵花上的shùzìzhīhéshìxiāngděngde，qǐngwènbèidǎngzhùdenàpiànhuābànshàngdeshùzìshìshénme？数字之和是相等的，请问被挡住的那片花瓣上的数字是什么？462587391(A)0(B)3(C)5(D)7(E)1#13.Whichpicturehasthelargestshadedarea?yǐxiànǎzhāngtúpiànzhōngdeyīnyǐngbùfènmiànjīzuìdà？以下哪张图片中的阴影部分面积最大？(A)(B)(C)(D)(E)7,KangarooMathCompetition2020(China)–PreEcolier#14.Marywantstowritethenumbers1,2,3,4,5and6insidethesixsquaresofthegure.Shewantsadierentnumberineachsquare.Shewantsboththesumofthenumbersinthebluesquaresandthesumofthenumbersintheyellowsquarestobe10.Whatnumbermustshewriteinthesquarewiththequestionmark?xiǎolìxiǎngbǎshùzì1,2,3,4,5,6xiějìnxiàmiàndeliùgèfānggézhōng，qiěměigèfānggézhōngdeshùzìdōubùtóng，chúcǐ小莉想把数字1,2,3,4,5,6写进下面的六个方格中，且每个方格中的数字都不同,除此zhīwài，tāxiǎngrànglánsèfānggélǐdeshùzìzhīhéyǔhuángsèfānggélǐdeshùzìzhīhédōuwéi10。qǐngwèntābìxūzàibiāoyǒuwèn之外，她想让蓝色方格里的数字之和与黄色方格里的数字之和都为10。请问她必须在标有问hàodefānggélǐxiěshàngshénmeshùzì?号的方格里写上什么数字??(A)1(B)2(C)3(D)4(E)5#15.Thecardwasonthetable.Itis ippedoveritstopedgethen ippedoveritsleftedge.Whatdoesthecardlooklikenow?rútúsuǒshì，zhuōzishàngbǎifàngzheyīzhāngkǎpiàn。gāikǎpiànyánzhedǐngbùdebiānyuánjìnxíngzhédiéfānzhuǎn，ránhòu如图所示，桌子上摆放着一张卡片。该卡片沿着顶部的边缘进行折叠翻转，然后zàiyánzhezuǒcèdebiānyuánzhédiéfānzhuǎnhòu，qǐngwèngāikǎpiànhuìbiànchéngshénmeyàngzi？再沿着左侧的边缘折叠翻转后，请问该卡片会变成什么样子？(A)(B)(C)(D)(E)8,KangarooMathCompetition2020(China)–PreEcolier#16.Grandmotherhasbaked12cookies.Shewantstogiveallthecookiestoher5grandchildren.Shealsowantstogiveeachgrandchildthesamenumberofcookies.Howmanyextracookiesshouldshebake?zǔmǔkǎole12kuàibǐnggān，tāxiǎngjiāngsuǒyǒubǐnggānpíngjūnfēnpèigěitāde5gèsūnzi。qǐngwèntāháixūyàozàiduōkǎojǐ祖母烤了12块饼干，她想将所有饼干平均分配给她的5个孙子。请问她还需要再多烤几kuàibǐnggān？块饼干？(A)0(B)1(C)2(D)3(E)45points#17.Tomhas9cards,asshown:Heputsthecardsontheboardsothateachhorizontallineandeachverticallinecountainsthreecardswiththreedierentshapesandthreedierentnumberofshapes.Hehasalreadyputthreecards,asshown.Whichcarddoesheputonthegreysquare?xiǎotángyǒu9zhāngkǎpiàn，rútú：小唐有9张卡片，如图：tābǎkǎpiànfàngzàifānggénèi，shǐdeměigèshuǐpínghéchuízhífāngxiàngshàngdōuyǒusānzhāngbùtóngxíngzhuànghébùtóng他把卡片放在方格内，使得每个水平和垂直方向上都有三张不同形状和不同xíngzhuàngshùmùdekǎpiàn。tāyǐjīngfànglesānzhāngkǎpiànle，rúxiàtúsuǒshì。qǐngwèntāyīnggāizàihuīsèdefānggénèi形状数目的卡片。他已经放了三张卡片了，如下图所示。请问他应该在灰色的方格内fàngrùnǎzhāngkǎpiàn？放入哪张卡片？(A)(B)(C)(D)(E)9,KangarooMathCompetition2020(China)–PreEcolier#18.Twoidenticaltrains,eachwith31cars,aretravelinginoppositedirections.WhencarNo.19ofonetrainisoppositecarNo.19oftheother,whichcarisoppositecarNo.12?liǎnglièxiāngtóngdehuǒchē，gèyǒu31jiéchēxiāng，tāmencháoxiāngfǎndefāngxiàngxíngshǐ。dāngqízhōngyīlièhuǒchē两列相同的火车，各有31节车厢，它们朝相反的方向行驶。当其中一列火车de19hàochēxiāngyǔlìngyīlièhuǒchēde19hàochēxiāngxiāngduìshí，jǐhàochēxiānghuìyǔ12hàochēxiāngxiāngduì？的19号车厢与另一列火车的19号车厢相对时，几号车厢会与12号车厢相对？1234554321(A)7(B)12(C)21(D)26(E)31#19.MarktheBeecanwalkonlyongreycells.InhowmanywayscouldyoucolourexactlytwowhitecellsgreysothatMarkcanwalkfromAtoB?yǒuyīzhīxiǎomìfēngzhǐnéngzàihuīsèdefēngfángshàngxíngzǒu。qǐngwènnǐkěyǐtōngguòjǐzhǒngfāngshìjiāngqízhōngliǎnggè有一只小蜜蜂只能在灰色的蜂房上行走。请问你可以通过几种方式将其中两个báisèfēngfángtúwéihuīsè，yǐbiànxiǎomìfēngkěyǐcóngAxíngzǒudàoB？白色蜂房涂为灰色，以便小蜜蜂可以从A行走到B？BA(A)3(B)4(C)5(D)6(E)710,KangarooMathCompetition2020(China)–PreEcolier#20.Anarrowpointingfromonepersontoanothermeansthatthefirstpersonistallerthanthesecond.Forexample,personBistallerthanpersonA.Whoistheshortest?rútúsuǒshì，dāngyīgèjiàntóucóngyīgèrénzhǐxiànglìngyīgèrénshí,biǎoshìdìyīgèrénbǐdìèrgèréngāo。lìrú，jiàn如图所示，当一个箭头从一个人指向另一个人时，表示第一个人比第二个人高。例如，箭tóucóngBzhǐxiàngA，biǎoshìBbǐAgāo。qǐngwènshéishìdāngzhōngzuìǎide？头从B指向A，表示B比A高。请问谁是当中最矮的？AEFDCB(A)A(B)B(C)C(D)D(E)E#21.Therearesomeapplesand8pearsinabasket,eachofthemgreenoryellow.Therearethreemoreapplesthanthetotalnumberofgreenfruit.Thereare6yellowpears.Howmanyyellowapplesarethereinthebasket?yīgèlánzilǐyǒuyīxiēpíngguǒhé8gèlí，tāmenyàomeshìlǜsè，yàomeshìhuángsè。píngguǒdeshùliàngbǐlǜsèshuǐguǒ一个篮子里有一些苹果和8个梨，它们要么是绿色，要么是黄色。苹果的数量比绿色水果zǒngshùduōlesāngè。rúguǒlánzilǐyǒu6gèhuángsèdelí，qǐngwènlánzilǐyǒujǐgèhuángsèdepíngguǒ？总数多了三个。如果篮子里有6个黄色的梨，请问篮子里有几个黄色的苹果？(A)4(B)5(C)6(D)7(E)8#22.Roowroteeachofthenumbers1,2,3,4and5inoneofthecirclessothatthesumofthenumbersintherowisequaltothesumofthenumbersinthecolumn.Whatnumbercouldbewritteninthecirclewiththequestionmark?xiǎolúzàiměigèyuánzhōngfēnbiéxiěxiàleshùzì1、2、3、4hé5，yīncǐhénghángzhōngdeshùzìzhīhéděngyúshù小卢在每个圆中分别写下了数字1、2、3、4和5，因此横行中的数字之和等于竖lièzhōngdeshùzìzhīhé。qǐngwèntúzhōnghuàwènhàodeyuánzhōngshìshénmeshùzì？列中的数字之和。请问图中画问号的圆中是什么数字？?(A)Only5(B)2,3or4(C)Only3(D)Only1or3(E)1,3or5zhǐyǒuhuòzhǐyǒuzhǐyǒuhuòhuò只有52,3或4只有3只有1或31,3或511,KangarooMathCompetition2020(China)–PreEcolier#23.Sixdierentnumberschosenfrom1to9arewrittenonthefacesofacube,onenumberoneachface.Thesumsofnumbersoneachpairofoppositefacesareequal.Whichnumbercouldbeonthefaceoppositetothefacewithnumber5?cóng1dào9zhōngxuǎnzéliùgèbùtóngdeshùzìxiězàizhèngfāngtǐdebiǎomiànshàng，qiěměiyīmiànzhǐxiěyīgèshùzì。rúguǒ从1到9中选择六个不同的数字写在正方体的表面上，且每一面只写一个数字。如果měiyīgèshùzìyǔtāxiāngduìmiànshàngdeshùzìzǒnghéshìxiāngděngde，qǐngwènnǎgèshùzìjiānghuìchūxiànzàishùzì5xiāngduìde每一个数字与它相对面上的数字总和是相等的，请问哪个数字将会出现在数字5相对的miànshàng？面上？548(A)3(B)5(C)6(D)7(E)9#24.JohnandOliviaexchangedsweets.First,JohngaveOliviaasmanysweetsasOliviahad.Then,OliviagaveJohnasmanysweetsasJohnhadaftertherstexchange.Afterthesetwoexchanges,eachhad4sweets.HowmanysweetsdidJohnhaveatthebeginning?xiǎoqiánghéxiǎoōuhùxiāngjiāohuàntángguǒ。shǒuxiān，xiǎoqiánggěixiǎoōudetángguǒshùliàngshìxiǎoōuyuánběnyǒudetáng小强和小欧互相交换糖果。首先，小强给小欧的糖果数量是小欧原本有的糖guǒshùliàng。ránhòu，xiǎoōugěixiǎoqiángdetángguǒshùliàngshìdìyīcìjiāohuànhòuxiǎoqiángháishèngdetángguǒshùliàng。jīngguò果数量。然后，小欧给小强的糖果数量是第一次交换后小强还剩的糖果数量。经过zhèliǎngcìjiāohuànhòu，měigèréndōuyǒu4kētángguǒ。qǐngwènxiǎoqiángyīkāishǐyōngyǒuduōshǎokētángguǒ？这两次交换后，每个人都有4颗糖果。请问小强一开始拥有多少颗糖果？(A)6(B)5(C)4(D)3(E)2ENDOFPAPER12,MathKangaroo2020AnswerKeyNo.Level0Level1&2Level3&4Level5&6Level7&8Level9&10Level11&121DDEEBBD2EEEEADB3AAADCEB4EEABAAA5AAEEEBC6DDDCECE7EEEADBD8DDCBBED9CCCCDCE10CCCEBAD11DEDAADE12DCEECBB13BDABBB14AABCBB15BDCCAB16DBCCCA17DBEAEB18DCDDDA19CABBAC20CDAEDB21BDBABD22EDEACE23CBBDED24BDCBDD25DCCE26DCCC27BECA28ADAA29EDBC30BCDC,KSF2020{nalizedproblemsPreEcolier3points#1.Thekangaroogoesup3stepseachtimetherabbitgoesdown2steps.Onwhichstepdotheymeet?(A)3(B)4(C)5(D)6(E)7Solution:#2.Mordkatookaseleinfrontofthiscastle.WhichofthepicturesbelowcouldbeMordka'sphoto?(A)(B)(C)(D)(E)Solution:#3.Nellyarrangedthe4piecestomakeapictureofakangaroo.1,KSF2020{nalizedproblemsPreEcolier1234Howarethepiecesarranged?4433344324134433344322112211423112211221(A)(B)(C)(D)(E)Solution:#4.Amagicianispullingtoysoutofhistophat.Healwayspullsoutthetoysinthesameorderasshowninthepicture.Thepatterninthepicturerepeatseveryvetoys.Whichtwotoysdoeshepulloutnext?(A)(B)(C)(D)(E)Solution:#5.Josehastwocardsofthesamesize.CardAhasfourholescutinit.cardAcardBJoseplacescardAdirectlyontopofcardB.WhatcanJosesee?(A)(B)(C)(D)(E)Solution:#6.Marymadeashapeusingsomewhitecubesand14greycubes.2,KSF2020{nalizedproblemsPreEcolierHowmanyofthesegreycubescannotbeseeninthepicture?(A)1(B)3(C)5(D)6(E)8Solution:#7.Annadrawsapictureofsomeshapes.Herpicturecontains3blacktrianglesandfewerthan4squares.WhichcouldbeAnna'spicture?(A)(B)(C)(D)(E)Solution:#8.Thebraidinthegureiscomposedofthreethreads.Onethreadisgreen,oneisblueandoneis123red.Whatcoloursarethethreethreads?(A)1isblue,2isgreenand3isred.(B)1isgreen,2isredand3isblue.(C)1isred,2isblueand3isgreen.(D)1isgreen,2isblueand3isred.(E)1isblue,2isredand3isgreen.Solution:Ifyouhaveblack-and-whitepapers,hereisablack-and-whiteversionofthepicture(remembertoadaptthetext!):1234points#9.Whichpiececompletesthepicture?3,?π∏KSF2020{nalizedproblemsPreEcolier∂∂∂∫π∏∏∫∫∂∫∏∂∫∫π∂∫∏?ππ∫∫π∫π∏π∫∏?ππ∂∫π∏π∫π∏π∂∏∫π∂π∏∏∫∏π∫ππ∏π∂∂∂π∏π∫π∏π∏π∏π∫(A)(B)(C)(D)(E)∏Solution:ππ∫∫ππ∏∏ππ#10.Avillageof12houseshasfourstraightroadsandfourcircularroads.Themapshows11of∂∂∂πthehouses.Oneachstraightroadthereare3houses.Oneachcircularroadtherearealso3houses.∏π∏π∂∂∂πB∏π∏πACD1EWhereonthemapshouldthe12thhousebeput?(A)atA(B)atB(C)atC(D)atD(E)atESolution:1#11.Fiveshapesaremadebyglueingcubestogetherfacetoface.Whichshapeusesthemost1cubes?(A)(B)(C)(D)(E)Solution:#12.Anumberiswrittenoneachpetaloftwo owers.Onepetalishidden.4,KSF2020{nalizedproblemsPreEcolier462587391Thesumsofthenumbersonthetwo owersareequal.Whatnumberiswrittenonthehiddenpetal?(A)0(B)3(C)5(D)7(E)1Solution:#13.Inwhichofthefollowingpicturesismoreoftheshapeshadedthananyoftheothers?(A)(B)(C)(D)(E)Solution:#14.Marywantstowritethenumbers1,2,3,4,5and6insidethesixsquaresofthegure.Shewantsadierentnumberineachsquare.Shewantsboththesumofthenumbersinthebluesquaresandthesumofthenumbersintheyellowsquarestobe10.Whatnumbermustshewriteinthesquare?withthequestionmark?(A)1(B)2(C)3(D)4(E)5Solution:Wedonotattempttondthespecicnumbers.Instead,as1+2+3+4+5+6=21andblueplusyellowboxesequals10+10=20,thelastboxmustcontainthenumber21-20=1.Inanycasewehaveblue=2+3+5,yellow=4+6.#15.Thiscardliesonthetable.Itis ippedoveritstopedgethen ippedoveritsleftedge,asshowninthepicture.Whatdoesthecardlooklikeafterthetwo ips?(A)(B)(C)5,KSF2020{nalizedproblemsPreEcolier(D)(E)Solution:#16.Grandmotherhasjustbaked12cookies.Shewantstogiveallofthecookiestoher5grand-childrenbutalsowantstogiveeachofthegrandchildrenthesamenumberofcookies.Howmanymorecookiesshouldshebake?(A)0(B)1(C)2(D)3(E)4Solution:5points#17.Tomhas9cards,asshown:Heputsthecardsontheboardsothateachhorizontallineandeachverticallinecountainsthreecardswiththreedierentshapesandthreedierentnumberofshapes.Hehasalreadyputthreecards,asshownWhichcarddoesheputonthegreysquare?(A)(B)(C)(D)(E)Solution:#18.Twoidenticaltrains,eachwith31cars,aretravelinginoppositedirections.WhencarNo.19ofonetrainisoppositecarNo.19oftheother,whichcarisoppositecarNo.12?1234554321(A)7(B)12(C)21(D)26(E)31Solution:#19.Markthebeecanwalkonlyongreycells.InhowmanywayscouldyoucolourexactlytwowhitecellsgreysothatMarkcanwalkfromAtoB?BA6,KSF2020{nalizedproblemsPreEcolier(A)3(B)4(C)5(D)6(E)7Solution:#20.AnarrowpointingfromonepersontoanothermeansthattherstpersonistallerthantheAEFDCsecond.BForexample,personBistallerthanpersonA.Whoistheshortest?(A)PersonA(B)PersonB(C)PersonC(D)PersonD(E)PersonESolution:#21.Therearesomeapplesand8pearsinabasket,eachofthemgreenoryellow.Therearethreemoreapplesthanthetotalnumberofgreenfruit.Thereare6yellowpears.Howmanyyellowapplesarethereinthebasket?(A)4(B)5(C)6(D)7(E)8Solution:Thegreenpearsare86=2.Allapples=greenapples+yellowapples=greenapples+greenpears+3.Itfollowsthattheredapplesare2+3=5.#22.Roowroteeachofthenumbers1,2,3,4and5inoneofthecirclessothatthesumofthenumbersintherowisequaltothesumofthenumbersinthecolumn.?Whatnumbercouldbewritteninthecirclewiththequestionmark?(A)Only5(B)2,3or4(C)Only3(D)Only1or3(E)1,3or5Solution:Sincethecentralnumberbelongsbothtotherowandtothecolumn,weseethatthesumoftheleftmostandtherightmostnumbersequalstothesumoftopandbottomnumbers.Hencethesum1+2+3+4+5=15ofallnumbersisoddwhilethesumofallnumbersexcludingcentraliseven,thereforethecentralnumbermustbeodd.Allvalues:1,3and5arepossible.#23.Sixdierentnumberschosenfrom1to9arewrittenonthefacesofacube,onenumberon7,KSF2020{nalizedproblemsPreEcolier548eachface.Thesumsofnumbersoneachpairofoppositefacesareequal.Whichnumbercouldbeonthefaceoppositetothefacewiththenumber5?(A)3(B)5(C)6(D)7(E)9Solution:#24.JohnandOliviaexchangedsweets.FirstJohngaveOliviaasmanysweetsasOliviahad.ThenOliviagaveJohnasmanysweetsasJohnhadaftertherstexchange.Afterthesetwoexchanges,eachhad4sweets.HowmanysweetsdidJohnhaveatthebeginning?(A)6(B)5(C)4(D)3(E)2Solution:8,考试说明/InstructionTimeallowed:75minutes考试时长：75分钟Language:English&Chinese试卷语言：英文和中文Thisisa24-questionmultiple-choicecompetition.考试包含24道单项选择题。Problems1to8areworth3pointseach.1-8题每题3分Problems9to16areworth4pointseach.9-16题每题4分Problems17to24areworth5pointseach.17-24题每题5分1pointwillbedeductedforanincorrectanswerandnopointforablankanswer.答错扣1分，不答不扣分。Thefullscoreis120(Startingpointis24)总分为120分（起始分数为24分）Donotopenthisbookletuntilyouaretoldtodoso.收到监考老师指令后，方可打开试卷册。Markyouranswersclearlyontheanswersheetusinga2Bpencil.务必使用2B铅笔在答题卡上正确填涂自己的答案。Year1Calculatorcannotbeusedduringthecompetition.&考试期间禁止使用计算器。Year2GoodLuck!预祝考试顺利,,KangarooMathCompetition2021(China)–Level13points#1.Akangaroolaidout3stickslikethistomakeashape.It’snotallowedtobreakortobendthesticks.Whichshapecouldthekangaroomake?yìzhīdàishǔyònɡsānɡēnzhèyànɡdeɡùnziláibǎitúxínɡbùyǔn一只袋鼠用三根这样的棍子来摆图形。不允xǔzhéduànhuòzhéwānɡùnzidàishǔkěyǐbǎichūxiàliènǎɡètúxínɡ许折断或折弯棍子，袋鼠可以摆出下列哪个图形？(A)(B)(C)(D)(E)#2.Fouridenticalpiecesofpaperareplacedasshown.Michaelwantstopunchaholethatgoesthroughallfourpieces.AtwhichpointshouldMichaelpunchthehole?jiānɡsìzhānɡxiānɡtónɡdezhǐzhānɡbǎifànɡrúxiàxiǎnɡdǎyíɡèdònɡjiānɡsì将四张相同的纸张摆放如下。Michael想打一个洞将四zhānɡzhǐquánbùchuānɡuòqǐnɡwènyīnɡɡāibǎdònɡdǎzàinǎɡèdiǎndewèi张纸全部穿过。请问Michael应该把洞打在哪个点的位zhì置？(A)A(B)B(C)C(D)D(E)E#3.Ellaputsonthist-shirtandstandsinfrontofamirror.Whichoftheseimagesdoesshe2021seeinthemirror?1,KangarooMathCompetition2021(China)–Level1chuānzheshànɡfānɡdexùzhànzàijìnɡziqiánqǐnɡwèntāzàijìnɡzizhōnɡElla穿着上方的T恤站在镜子前，请问她在镜子中kàndàodetúxiànɡshìnǎyíɡè看到的图像是哪一个？(A)(B)(C)(D)(E)#4.Thepictureshows2mushrooms.Whatisthedifferencebetweentheirheights?xiàmiànliǎnɡɡèmóɡūdeɡāodùxiānɡchàduōshǎo下面两个蘑菇的高度相差多少？(A)4(B)5(C)6(D)11(E)17#5.Whichofthepathsshowninthepicturesisthelongest?xiàliènǎzhānɡtúxiǎnshìdelùjìnɡzuìchánɡ下列哪张图显示的路径最长？(A)(B)(C)(D)(E)2,KangarooMathCompetition2021(China)–Level1#6.Thepinktoweristallerthantheredtowerbutshorterthanthegreentower.Thesilvertoweristallerthanthegreentower.Whichtoweristhetallest?fěnsèdetǎbǐhónɡsèdetǎɡāodànbǐlǜsèdetǎǎiyínsèdetǎbǐlǜsèdetǎɡāo粉色的塔比红色的塔高，但比绿色的塔矮，银色的塔比绿色的塔高。qǐnɡwènnǎzuòtǎzuìɡāo请问哪座塔最高?fěnsèdetǎlǜsèdetǎhónɡsèdetǎ(A)pinktower粉色的塔(B)greentower绿色的塔(C)redtower红色的塔yínsèdetǎwúfǎquèdìnɡ(D)silvertower银色的塔(E)impossibletodecide无法确定#7.Thesechildrenarestandinginaline.Somearefacingforwardsandothersarefacingbackwards.Howmanychildrenareholdinganotherchild’shandwiththeirrighthand?túzhōnɡháizimenzhànchénɡyìpáiyǒudemiàncháoqiányǒudemiàncháo图中孩子们站成一排。有的面朝前，有的面朝hòuqǐnɡwènyǒuduōshǎoɡèháizishìyònɡyòushǒuwǎnzhepánɡbiāndehái后。请问有多少个孩子是用右手挽着旁边的孩zi子？(A)2(B)3(C)4(D)5(E)6#8.IntheKangarooconstellation,allstarshaveanumbergreaterthan3andtheirsumis20.WhichistheKangarooconstellation?zàidàishǔxīnɡzuòzhōnɡsuǒyǒudexīnɡxinɡshànɡdōuyǒuyíɡèdàyúdeshùzì在袋鼠星座中，所有的星星上都有一个大于3的数字，érqiětāmendezǒnɡhéshìqǐnɡwènnǎɡèshìdàishǔxīnɡzuò而且它们的总和是20。请问哪个是袋鼠星座?(A)(B)(C)(D)(E)3,KangarooMathCompetition2021(China)–Level14points#9.Edmundcutaribbonasshowninthepicture.Howmanypiecesoftheribbondidhefinishwith？rútúsuǒshìjiǎnduànleyìɡēnsīdàiqǐnɡwènjiǎnwánhòuzhèɡēnsīdài如图所示，Edmund剪断了一根丝带。请问剪完后这根丝带biànchénɡlejǐduàn变成了几段？(A)9(B)10(C)11(D)12(E)13#10.Rosethecatwalksalongthewall.ShestartsatpointBandfollowsthedirectionofthearrowsshowninthepicture.Thecatwalksatotalof20metres.Wheredoessheendup？xiǎomāoyánzheqiánɡbìzǒulùtācónɡdiǎnchūfāyánzhetúzhōnɡjiàntóu小猫Rose沿着墙壁走路。它从B点出发，沿着图中箭头fānɡxiànɡxínɡzǒuyíɡònɡzǒulemǐ方向行走，一共走了20米。qǐnɡwènxiǎomāozuìhòutínɡzàilenǎɡèdiǎnshànɡ请问小猫最后停在了哪个点上？(A)A(B)B(C)C(D)D(E)E4,KangarooMathCompetition2021(China)–Level1#11.Tomencodeswordsusingtheboardshown.Forexample,thewordPIZZAhasthecodeA2A4C1C1B2.WhatworddidTomencodeasB3B2C4D2?yònɡrútúsuǒshìdezìmǔbǎnɡěidāncíjìnxínɡTom用如图所示的字母板给单词进行biānmǎbǐrúdāncídedàimǎwéi编码。比如单词PIZZA的代码为A2A4C1C1B2。qǐnɡwèndàimǎwéidedāncíshìnǎyíɡè请问代码为B3B2C4D2的单词是哪一个？(A)MAZE(B)MASK(C)MILK(D)MATE(E)MATH#12.Juliahastwopotswithflowers,asshown.Shekeepstheflowersexactlywheretheyare.Shebuysmoreflowersandputstheminthepots.Afterthateachpothasthesamenumberofeachtypeofflower.yǒuliǎnɡpénhuārútúsuǒshìtābǎhuāfànɡzàiyuánchùhòuyòumǎileJulia有两盆花，如图所示。她把花放在原处后，又买了yìxiēhuāfànɡjìnlehuāpénlǐxiànzàiliǎnɡɡèhuāpénlǐměizhǒnɡlèixínɡdehuāde一些花放进了花盆里。现在两个花盆里每种类型的花的shùliànɡdōuxiānɡtónɡ数量都相同。Whatisthesmallestnumberofflowerssheneedstobuy?qǐnɡwènzuìshǎoxūyàomǎiduōshǎozhīhuā请问Julia最少需要买多少枝花？(A)2(B)4(C)6(D)8(E)10#13.JulieandAngelaplayed“kangball”,aballgame.Eachgoalintheirgamescores2points.Juliescored5goalsandAngelascored9goals.HowmanymorepointsthanJuliedidAngelascore?héwányìzhǒnɡjiàozuòdeqiúlèiyóuxìměijìnyìqiúdéfēnJulie和Angela玩一种叫做“kangball”的球类游戏，每进一球得2分。jìnleɡèqiújìnleɡèqiúqǐnɡwènbǐduōdéjǐfēnJulie进了5个球，Angela进了9个球。请问Angela比Julie多得几分？(A)4(B)6(C)8(D)10(E)125,KangarooMathCompetition2021(China)–Level1#14.Whichfigurecanbemadefromthesetwopieces?xiàlièliǎnɡzhānɡsuìpiànkěyǐzǔchénɡnǎɡètúxínɡ下列两张碎片可以组成哪个图形？(A)(B)(C)(D)(E)#15.Thepictureshowsthefivehousesoffivefriendsandtheirschool.Theschoolisthelargestbuildinginthepicture.Togotoschool,DorisandAliwalkpastLeo’shouse.EvawalkspastChole’shouse.WhichisEva’shouse?xiàtúzhǎnshìlewǔɡèpénɡyǒudejiāhéxuéxiàodewèizhìxuéxiàoshìtúzhōnɡzuì下图展示了五个朋友的家和学校的位置。学校是图中最dàdejiànzhùshànɡxuélùshànɡhéhuìjīnɡɡuòdejiāhuìjīnɡɡuò大的建筑。上学路上Doris和Ali会经过Leo的家，Eva会经过dejiāqǐnɡwènnǎyíɡèshìdejiāChole的家。请问哪一个是Eva的家？SCHOOL学校(A)(B)(C)(D)(E)6,KangarooMathCompetition2021(China)–Level1#16.Thekangaroohadtwobranchesforlunch.Eachbranchhad10leaves.Thekangarooatesomeleavesfromonebranch.Then,fromthesecondbranch,itateasmanyleavesaswereleftonthefirstbranch.Howmanyleavesintotalwereleftonthetwobranches?dàishǔzhōnɡwǔchīleliǎnɡɡēnshùzhīshànɡdeyìxiēyèziměiɡēnshùzhīshànɡ袋鼠中午吃了两根树枝上的一些叶子。每根树枝上yǒupiànyèzidàishǔxiānhòuchīledìyīɡēnhédìèrɡēnshùzhīshànɡdejǐpiàn有10片叶子，袋鼠先后吃了第一根和第二根树枝上的几片yèzichīdedìèrɡēnshùzhīshànɡyèzideshùliànɡzhènɡhǎoshìdìyīɡēnshùzhī叶子。吃的第二根树枝上叶子的数量正好是第一根树枝shànɡchīshènɡdeyèzishùliànɡqǐnɡwènzhèliǎnɡɡēnshùzhīshànɡyíɡònɡshènɡ上吃剩的叶子数量。请问这两根树枝上一共剩xiàduōshǎopiànyèzi下多少片叶子？(A)5(B)6(C)8(D)10(E)155points#17.Marabuiltthesquarebyusingfourofthefollowingfiveshapes.Whichshapewasnotused?yònɡwǔɡèxuǎnxiànɡzhōnɡdeqízhōnɡsìɡèsuìpiànláizǔchénɡxiàmiàndeMara用五个选项中的其中四个碎片来组成下面的zhènɡfānɡxínɡqǐnɡwènnǎyíɡèxínɡzhuànɡméiyǒubèiyònɡdào正方形。请问哪一个形状没有被用到？(A)(B)(C)(D)(E)7,KangarooMathCompetition2021(China)–Level1#18.Thecardsshownareplacedintotwoboxes.Thesumsofthenumbersineachboxarethesame.Whichnumbermustbeintheboxwiththenumber4?jiānɡtúshìkǎpiànfànɡzàiliǎnɡɡèhézizhōnɡ将图示卡片放在两个盒子中，yāoqiúměiɡèhézizhōnɡdeshùzìzhīhéxiānɡděnɡ要求每个盒子中的数字之和相等。qǐnɡwènnǎɡèshùzìyídìnɡhéfànɡzàiyìqǐ请问哪个数字一定和4放在一起?zhǐyǒuzhǐyǒuzhǐyǒu(A)only3只有3(B)only5只有5(C)only6只有6zhǐyǒuhuòwúfǎquèdìnɡ(D)only5or6只有5或6(E)impossibletodetermine无法确定#19.Everytimethewitchhas3applessheturnstheminto1banana.Everytimeshehas3bananassheturnstheminto1apple.Whatwillshefinishwithifshestartswith4applesand5bananas?měidānɡnǚwūyǒuɡèpínɡɡuǒtājiùbǎɡèpínɡɡuǒbiànchénɡɡèxiānɡjiāo每当女巫有3个苹果，她就把3个苹果变成1个香蕉；měidānɡnǚwūyǒuɡèxiānɡjiāotājiùbǎzhèɡèxiānɡjiāobiànchénɡɡèpínɡɡuǒ每当女巫有3个香蕉，她就把这3个香蕉变成1个苹果。rúɡuǒnǚwūɡānɡkāishǐyǒuɡèpínɡɡuǒhéɡèxiānɡjiāonàmetāzuìhòuhuìshènɡ如果女巫刚开始有4个苹果和5个香蕉，那么她最后会剩xiàshénme下什么？(A)(B)(C)(D)(E)8,KangarooMathCompetition2021(China)–Level1#20.Threegirlsandtwoboysweredancing.Theydancedinpairssothateachgirldancedwitheachboyforexactlyoneminute.Atanytime,therewasonlyonepaironthedancefloor.Forhowmanyminutesdidtheydance?sānɡènǚháihéliǎnɡɡènánháizàitiàowǔnánháihénǚháidādànɡtiàowǔměiɡè三个女孩和两个男孩在跳舞。男孩和女孩搭档跳舞，每个nánháihéměiɡènǚháidōuqiàhǎotiàoyìfēnzhōnɡměicìwǔchízhōnɡzhǐnénɡyǒuyí男孩和每个女孩都恰好跳一分钟，每次舞池中只能有一duìdādànɡqǐnɡwèntāmenyíɡònɡtiàolejǐfēnzhōnɡ对搭档。请问他们一共跳了几分钟？(A)5(B)6(C)8(D)9(E)10#21.Thepictureshowstwocogs,eachwithablacktooth.xiàtúzhōnɡyǒuliǎnɡɡèchǐlúnměiɡèchǐlúnshànɡdōuyǒuyíɡèhēisèdelúnchǐ下图中有两个齿轮，每个齿轮上都有一个黑色的轮齿。Wherewilltheblackteethbeafterthesmallcoghasmadeonefullturn?qǐnɡwènxiǎochǐlúnzhuàndònɡyìzhōuhòuhēisèlúnchǐhuìzàishénmewèizhì请问小齿轮转动一周后，黑色轮齿会在什么位置？(A)(B)(C)(D)(E)#22.KangieeatsonlyapplesonMonday,WednesdayandFriday.OnTuesdaysandThursdaysheeatsonlymangoes.Heeatseither2applesor3mangoesaday.OnSaturdaysandSundaysheeatsnothing.HowmanypiecesoffruitdoesKangieeatintwoweeks?zàizhōuyīzhōusānhézhōuwǔzhǐchīpínɡɡuǒzàizhōuèrhézhōusìzhǐchīKangie在周一、周三和周五只吃苹果；在周二和周四只吃mánɡɡuǒtāyìtiānchīɡèpínɡɡuǒhuòɡèmánɡɡuǒqiězàizhōuliùhézhōurì芒果。他一天吃2个苹果或3个芒果，且在周六和周日shénmedōubùchīqǐnɡwènzàiliǎnɡzhōunèichīleduōshǎoɡèshuǐɡuǒ什么都不吃。请问Kangie在两周内吃了多少个水果？(A)12(B)16(C)18(D)20(E)249,KangarooMathCompetition2021(China)–Level1#23.Eachparticipantinacookingcontestbakedonetrayofcookiesliketheoneshown.yícìpēnɡrènbǐsàizhōnɡměiɡèxuǎnshǒudōukǎoleyìpánrúxiàtúsuǒshìde一次烹饪比赛中，每个选手都烤了一盘如下图所示的bǐnɡɡān饼干。Whatisthesmallestnumberoftraysofcookiesneededtomakethefollowingplate?yàozǔchénɡxiàtúsuǒshìdebǐnɡɡānpīnpánzhìshǎoxūyàojǐɡèxuǎnshǒukǎode要组成下图所示的饼干拼盘，至少需要几个选手烤的bǐnɡɡān饼干？(A)1(B)2(C)3(D)4(E)5#24.Stanhasfivetoys:aball,asetofblocks,agame,apuzzleandacar.Heputseachtoyonadifferentshelfofthebookcase.Theballishigherthantheblocksandlowerthanthecar.Thegameisdirectlyabovetheball.Onwhichshelfcanthepuzzlenotbeplaced?yǒuwǔɡèwánjùyíɡèqiúyítàojīmùyíɡèyóuxìjīyíɡèpīntúhéyíliànɡStan有五个玩具：一个球、一套积木、一个游戏机、一个拼图和一辆qìchētābǎměiɡèwánjùfànɡzàishūjiàbùtónɡdecénɡqiúdewèizhìbǐjīmùɡāo汽车。他把每个玩具放在书架不同的层。球的位置比积木高，bǐqìchēdīyóuxìjīzàiqiúdeshànɡyìcénɡ比汽车低，游戏机在球的上一层。qǐnɡwènpīntúbùnénɡfànɡzàishūjiàdenǎyìcénɡ请问拼图不能放在书架的哪一层？(A)1(B)2(C)3(D)4(E)510,等级01-5EADBA6-10DEBDD11-12AD等级1-PreEcolier1-5EDABA6-10DEBDD11-15ECCAB16-20DDCAB21-24CECC等级2-Ecolier1-5CBBCE6-10CDCAE11-15ECCDE16-20BDEAD21-24DDEA等级3-Benjamin1-5DBDAE6-10CBEDE11-15BBBDA16-20ECDCB21-25ABCAC26-30EDBBE等级4-Cadet1-5AEBAD6-10BEABE11-15DCECD16-20BBCEC21-25CBBDD26-30CBADC等级5-Junior1-5CBBBC6-10BCCDE11-15BAAAC16-20EECCE21-25EAEBE26-30DDCDD,,,,,考试说明/InstructionTimeallowed:75minutes考试时长：75分钟Language:English&Chinese试卷语言：英文和中文Thisisa24-questionmultiple-choicecompetition.考试包含24道单项选择题。Problems1to8areworth3pointseach.1-8题每题3分Problems9to16areworth4pointseach.9-16题每题4分Problems17to24areworth5pointseach.17-24题每题5分1pointwillbedeductedforanincorrectanswerandnopointforablankanswer.答错扣1分，不答不扣分。Thefullscoreis120(Startingpointis24)总分为120分（起始分数为24分）Donotopenthisbookletuntilyouaretoldtodoso.收到监考老师指令后，方可打开试卷册。Markyouranswersclearlyontheanswersheetusinga2Bpencil.务必使用2B铅笔在答题卡上正确填涂自己的答案。Year1Calculatorcannotbeusedduringthecompetition.&考试期间禁止使用计算器。Year2GoodLuck!预祝考试顺利,,MathKangaroo2022(China)–Level13points1.Whichboxcontainsthemosttriangles?xiàmiànnǎɡehézǐlǐdesānjiǎoxínɡzuìduō下面哪个盒子里的三角形最多？(A)(B)(C)(D)(E)2.Arekcutsthispictureinhalfandputsthetwopiecestogether.āléijiānɡxiàmiànzhèzhānɡzhàopiànjiǎnchénɡliǎnɡbànránhòuchónɡxīnpīnjiēzàiyìqǐ阿雷将下面这张照片剪成两半，然后重新拼接在一起。WhichoptionshowsthetwopiecesofArek’spicture?xiàmiànnǎɡexuǎnxiànɡshìāléipīnjiēchūláidexínɡzhuànɡ下面哪个选项是阿雷拼接出来的形状？(A)(B)(C)(D)(E)1,MathKangaroo2022(China)–Level13.Thepictureshows5identicalbricks.Howmanybricksaretouchingexactly3otherbricks?túzhōnɡyǒukuàixiānɡtónɡdezhuān图中有5块相同的砖。qízhōnɡyǒujǐkuàizhuānqiàhǎoāizhelìnɡwàikuàizhuān其中有几块砖恰好挨着另外3块砖？(A)1(B)2(C)3(D)4(E)54.Onesandwichandonejuicetogethercost12euro.Onesandwichandtwojuicestogethercost14euro.yīfènsānmínɡzhìhéyībēiɡuǒzhījiāqǐláiɡònɡyuányīfènsānmínɡzhìhéliǎnɡbēiɡuǒ一份三明治和一杯果汁加起来共12元，一份三明治和两杯果zhījiāqǐláiɡònɡyuán汁加起来共14元。Howmuchdoesonejuicecost?nàmeyībēiɡuǒzhīduōshǎoqián那么一杯果汁多少钱？(A)1(B)2(C)3(D)4(E)55.Therehastobe2coinsineachrowandeachcolumn.yàoshǐměihánɡhéměilièdōubìxūyǒuméiyìnɡbì要使每行和每列都必须有2枚硬币。Wheredoyouneedtoputthefinalcoin?nàmezuìhòuyīméiyìnɡbìyīnɡɡāifànɡzàinǎɡewèizhì那么最后一枚硬币应该放在哪个位置？(A)A(B)B(C)C(D)D(E)E2,MathKangaroo2022(China)–Level16.AmonkeyhastornapiecefromCaptainJack’smap.yīzhīhóuzibǎjiékèchuánzhǎnɡdedìtúsīdiàoleyīkuài一只猴子把杰克船长的地图撕掉了一块。Whichisthemissingpiece?xiàmiànnǎkuàishìdìtúquēshīdebùfen下面哪块是地图缺失的部分？(A)(B)(C)(D)(E)7.Peterputsthe4puzzlepiecesshowntogethertomakeasquare.Whichpicturecanhemake?bǐdéjiānɡxiàmiànpiànpīntúpīnzàiyīqǐzǔchénɡyīɡèzhènɡfānɡxínɡqǐnɡwèntānénɡ彼得将下面4片拼图拼在一起组成一个正方形。请问他能pīnchūxuǎnxiànɡzhōnɡdenǎfútú拼出选项中的哪幅图？(A)(B)(C)(D)(E)8.Someinkspilledonapieceofsquaredpaper,asshowninthepicture.Howmanyofthesquareshaveinkonthem?rútúsuǒshìmòshuǐsǎzàileyīzhānɡfānɡɡézhǐshànɡ如图所示，墨水洒在了一张方格纸上。qǐnɡwènyǒuduōshǎoɡèxiǎofānɡɡézhānshànɡlemòshuǐ请问有多少个小方格沾上了墨水？(A)16(B)17(C)18(D)19(E)203,MathKangaroo2022(China)–Level14points9.Kangawrotedownanumberandthencoveredeachdigitwithashape.Differentdigitswerecoveredbydifferentshapes,andthesamedigitswerecoveredbythesameshape.Whichnumbercouldbewrittenundertheseshapes?xiǎodàishǔxiěxiàyīɡèshùránhòuyònɡɡèzhǒnɡxínɡzhuànɡɡàizhùměiɡèshùwèishànɡde小袋鼠写下一个数，然后用各种形状盖住每个数位上的shùzìbùtónɡxínɡzhuànɡxiàfānɡdeshùzìbùtónɡxiānɡtónɡxínɡzhuànɡxiàfānɡdeshùzì数字。不同形状下方的数字不同，相同形状下方的数字xiānɡtónɡ相同。qǐnɡwènzhèxiēxínɡzhuànɡxiàfānɡkěnénɡxiěyǒunǎɡeshù请问这些形状下方可能写有哪个数？(A)34426(B)34526(C)34423(D)34424(E)3244610.Oneanimalsleepsineachofthebaskets.Thekoalaandthefoxaresleepinginbasketswiththesamepatternandshape.měiɡèlánzilǐdōuyǒuyīzhīdònɡwùzàishuìjiàokǎolāhéhúlíshuìzàitúànhéxínɡ每个篮子里都有一只动物在睡觉。考拉和狐狸睡在图案和形zhuànɡdōuxiānɡtónɡdelánzilǐ状都相同的篮子里。1号篮子2号篮子3号篮子4号篮子5号篮子Thekangarooandtheostrichhavethesamepatternontheirbaskets.Whichbasketisthepuppysleepingin?dàishǔhétuóniǎoshuìzàitúànxiānɡtónɡdelánzilǐnàmexiǎoɡǒushuìzàinǎɡelánzi袋鼠和鸵鸟睡在图案相同的篮子里。那么小狗睡在哪个篮子lǐ里？hàolánzihàolánzihàolánzi(A)basket11号篮子(B)basket22号篮子(C)basket33号篮子hàolánzihàolánzi(D)basket44号篮子(E)basket55号篮子4,MathKangaroo2022(China)–Level111.Kangawantstoreachthekoalawithoutgoingthroughanyofthecolouredsquares.dàishǔxiǎnɡzhǎokǎolāwándànbùxiǎnɡjīnɡɡuòrènhéyīɡècǎisèfānɡkuài袋鼠想找考拉玩，但不想经过任何一个彩色方块。Whichroutecouldshetake?tākěyǐzǒuxiàmiànnǎtiáolùxiàn她可以走下面哪条路线？(A)(B)(C)(D)(E)12.Inoneofthepicturesbelow,ashapeisusedthatcannotbeseenintheothers.Inwhichpictureisit?xiàmiànnǎzhānɡtúpiànzhōnɡshǐyònɡleqítātúpiànzhōnɡméiyǒuyònɡdàodexínɡ下面哪张图片中，使用了其他图片中没有用到的形zhuànɡ状？(A)(B)(C)(D)(E)13.Whichoptionshowstheviewfromabovethisstackofdiscs?cónɡshànɡfānɡkànzhèdiéyuánpánkěyǐdédàoxiàmiànnǎfútú从上方看这叠圆盘可以得到下面哪幅图？(A)(B)(C)(D)(E)5,MathKangaroo2022(China)–Level114.Whichofthefollowingpictureswillweseewhenweusethestampshown?shǐyònɡyòutúzhōnɡdeyìnzhānɡshíkěyǐdédàoxiàmiànnǎzhǒnɡyìnjì使用右图中的印章时，可以得到下面哪种印记？(A)(B)(C)(D)(E)15.Katrinbuildsapatharoundeachsquareusingtilesliketheoneshown.xiǎokǎyònɡrútúsuǒshìdedìzhuānzàiměiɡèzhènɡfānɡxínɡzhōuwéidōupūle小卡用如图所示的地砖在每个正方形周围都铺了yītiáolù一条路。Howmanytilesdoessheusearoundasquarewithside5?qǐnɡwèntāzàibiānzhǎnɡwéidezhènɡfānɡxínɡzhōuwéipūlùyònɡleduōshǎokuàidì请问她在边长为5的正方形周围铺路用了多少块地zhuān砖？(A)10(B)11(C)12(D)14(E)1616.Annhas4stickersasshown.Shesticksdownthestaraftershesticksdownthesquare.Shesticksdownthestarbeforeshesticksdownthetriangle.Whichpicturecouldsheendupwith?ānānyǒuzhānɡrútúsuǒshìdetiēzhǐ安安有4张如图所示的贴纸。tāzàitiēwánzhènɡfānɡxínɡzhīhòutiēlexīnɡxínɡzàitiēsānjiǎoxínɡzhīqiánxiāntiēlexīnɡ她在贴完正方形之后贴了星形，在贴三角形之前先贴了星xínɡ形。tāzuìzhōnɡkěnénɡhuìdédàoxiàmiànnǎzhānɡtúpiàn她最终可能会得到下面哪张图片？(A)(B)(C)(D)(E)6,MathKangaroo2022(China)–Level15points17.Thesumofthefivenumbersineachhouseis20.Somenumbershavebeenpaintedover.Whatnumberishiddenunderthequestionmark?měijiānfánɡzishànɡdewǔɡèshùzìzhīhédōushìdànyǒuxiē每间房子上的五个数字之和都是20，但有些shùzìbèiɡàizhùle数字被盖住了。qǐnɡwènwènhàochùdeshùzìshìjǐ请问问号处的数字是几？(A)3(B)4(C)7(D)9(E)1418.Somelawnsareshownbelow.Whichlawnisthesmallest?xiàmiànnǎkuàicǎodìzuìxiǎo下面哪块草地最小？(A)(B)(C)(D)(E)19.Eachyear,Mariareceivedteddybearsforherbirthday.Forherfirstbirthdayshereceived1teddybear.Forhersecondbirthdayshereceived2teddybears.Foreachsubsequentbirthdayshereceivedoneteddybearmorethanthepreviousyear.HowmanyteddybearsdoesMariahaveintotalwhensheis6yearsold?měiniánxiǎoměidōuhuìshōudàotàidíxiónɡzuòwéishēnɡrìlǐwùtāɡuòdìyīɡèshēnɡrì每年小美都会收到泰迪熊作为生日礼物。她过第一个生日shíshōudàolezhītàidíxiónɡɡuòdìèrɡèshēnɡrìshíshōudàolezhītàidíxiónɡzhī时，收到了1只泰迪熊。过第二个生日时，收到了2只泰迪熊。之hòudeměiɡèshēnɡrìtādōubǐshànɡyìniánduōshōudàoyìzhītàidíxiónɡ后的每个生日，她都比上一年多收到一只泰迪熊。dānɡxiǎoměisuìdeshíhòutāzǒnɡɡònɡyǒuduōshǎozhītàidíxiónɡ当小美6岁的时候，她总共有多少只泰迪熊？(A)19(B)20(C)21(D)22(E)237,MathKangaroo2022(China)–Level120.Dinomovesfromtheentrancetotheexitbygoingthroughrooms.Hecanonlygothrougheachroomonce.xiǎokǒnɡlónɡyàocónɡrùkǒujìnqùchuānɡuòyīxiēfánɡjiāndàodáchūkǒuměiɡèfánɡjiān小恐龙要从入口进去穿过一些房间到达出口。每个房间zhǐnénɡjīnɡɡuòyīcì只能经过一次。Dinoaddsupthenumbersashepassesthrougheachroom.WhatisthehighesttotalDinocanmake?xiǎokǒnɡlónɡzàijīnɡɡuòměiɡèfánɡjiānshíhuìbǎɡāifánɡjiāndeshùzìjiāqǐláiqǐnɡwèn小恐龙在经过每个房间时会把该房间的数字加起来。请问tānénɡdédàodezuìdàshùzìzhīhéshìduōshǎo它能得到的最大数字之和是多少？(A)27(B)29(C)32(D)34(E)3621.Inthepicture,eachshapestandsforadifferentnumber.Whichnumbershouldbewritteninplaceofthequestionmark?zàiyòutúzhōnɡměizhǒnɡxínɡzhuànɡdàibiǎoyīɡèbùtónɡdeshùzì在右图中，每种形状代表一个不同的数字。qǐnɡwènwènhàochùyīnɡɡāitiánnǎɡeshùzì请问问号处应该填哪个数字？(A)10(B)12(C)14(D)16(E)1822.Threezebrastakepartinacontest.Thewinneristhezebrawiththemoststripes.Runahas15stripes,Zarahas3morethanRuna.Runahas5fewerstripesthanBiba.Howmanystripesdoesthewinnerhave?sānzhībānmǎcānjiābǐsàihuòshènɡzhěshìbānwénzuìduōdebānmǎxiǎoyǒutiáobān三只斑马参加比赛，获胜者是斑纹最多的斑马。小R有15条斑wénxiǎobǐxiǎoduōtiáoxiǎobǐxiǎoshǎotiáoqǐnɡwènhuòshènɡdebānmǎyǒu纹，小Z比小R多3条。小R比小B少5条。请问获胜的斑马有duōshǎotiáobānwén多少条斑纹？(A)16(B)18(C)20(D)21(E)228,MathKangaroo2022(China)–Level123.Kangy’scarcanonlyturnleft.Itcanneverturnright.WhichofthefollowingfiveroutescanKangytake?xiǎokǎidechēzhǐnénɡzuǒzhuǎnbùnénɡyòuzhuǎnyǐxiàwǔtiáolùxiànzhōnɡxiǎokǎikěyǐ小凯的车只能左转，不能右转。以下五条路线中，小凯可以zǒunǎtiáo走哪条？(A)(B)(C)(D)(E)24.Therearefivenumberedcardsonthetableasshown.Youmayswaptwocardsateachstep.Whatisthesmallestnumberofstepsneededtoputthecardsintoincreasingorder?rútúsuǒshìzhuōshànɡyǒuwǔzhānɡbiānhàodekǎpiàn如图所示，桌上有五张编号的卡片。měicìnǐkěyǐjiāohuànliǎnɡzhānɡkǎpiàndewèizhìyàojiānɡkǎpiànànzhàocónɡxiǎodào每次你可以交换两张卡片的位置。要将卡片按照从小到dàdeshùnxùpáilièzuìshǎoxūyàojiāohuànjǐcì大的顺序排列，最少需要交换几次？(A)1(B)2(C)3(D)4(E)59,Pre-EcolierFinalized3points1(FI).Whichboxcontainsthemosttriangles?(A)(B)(C)(D)(E)Solution:CountthetrianglesineachoptionandseethatoptionBhasthemosttriangles.2(PL).Arekcutsthispictureinhalfandputsthetwopiecestogether.WhichoptionshowsthetwopiecesofArek’spicture?(A)(B)(C)(D)(E)Solution:OnlyoptionEcontainsthetwopiecesofthepicture.YouhavetoturntherighthalfofSOLUTIONSINCLUDED-DONOTUSEFORCONTESTthepictureEupsidedown.1,Pre-EcolierFinalized3(GR).Thepictureshows5identicalbricks.Howmanybricksaretouchingexactly3otherbricks?(A)1(B)2(C)3(D)4(E)5Solution:Bycountingthebricksthattouchexactly3others,weseethatthereare2-thewhitebricksinthepicture.4(BR).Onesandwichandonejuicetogethercost12euro.Onesandwichandtwojuicestogether...........cost14euro.Howmuchdoesonejuicecost?(A)1(B)2(C)3(D)4(E)5Solution:Buyingonemorejuiceincreasesthepriceby2.Soeachjuicecosts2.5(DK).Therehastobe2coinsineachrowandeachcolumn.BACDEWheredoyouneedtoputthefinalcoin?(A)A(B)B(C)C(D)D(E)ESolution:Countthecoinsineverycolumnandfindthecolumnwithonlyonecoin(thirdcolumn).Secondstep:checklettersC,Dwhichfitanothercondition.6(UZ).AmonkeyhastornapiecefromCaptainJack’smap.Whichisthemissingpiece?SOLUTIONSINCLUDED-DONOTUSEFORCONTEST2,Pre-EcolierFinalized(A)(B)(C)(D)(E)Solution:7(DK).Peterputsthe4puzzlepiecesshowntogethertomakeasquare.Whichpicturecanhemake?(A)(B)(C)(D)(E)Solution:8(GR).Someinkspilledonapieceofsquaredpaper,asshowninthepicture.Howmanyofthesquareshaveinkonthem?(A)16(B)17(C)18(D)19(E)20Solution:Countingonebyonetheansweris20.SOLUTIONSINCLUDED-DONOTUSEFORCONTEST4points3,Pre-EcolierFinalized9(GR).Kangawrotedownanumberandthencoveredeachdigitwithashape.Differentdigitswerecoveredbydifferentshapes,andthesamedigitswerecoveredbythesameshape.Whichnumbercouldbewrittenundertheseshapes?(A)34426(B)34526(C)34423(D)34424(E)32446Solution:Not34526becausetherearenorepeatingsymbols.Not34423becausefirstandlastdigitarethesame.Not34424becausetherepeatingdigitsarethesameasthelastdigit.Not32446becausetherepeatingdigitsareinthewrongposition.Solution2.Wearelookingforanumberwhosesecondandthirddigitsarethesameandtherestofthedigitsaredifferent.Thisnumberis34426.10(SK).Oneanimalsleepsineachofthebaskets.Thekoalaandthefoxaresleepinginbasketswiththesamepatternandshape.basket1basket2basket3basket4basket5Thekangarooandtheostrichhavethesamepatternontheirbaskets.Whichbasketisthepuppysleepingin?(A)basket1(B)basket2(C)basket3(D)basket4(E)basket5Solution:KoalaandFoxsleepinbaskets2and4.KangarooandOstrichsleepin1and3.Sopuppysleepsinbasket5.11(DK).Kangawantstoreachthekoalawithoutgoingthroughanyofthecolouredsquares.Whichroutecouldshetake?(A)(B)(C)(D)(E)Solution:Thekangaroocanonlystartbyjumpingright,right,whichisthesameforalloptions.Thenthekangaroomustjumpup,up,right,whichrulesoutoptionsCandE.Thelastjumpmustbetotheright,soBandDareruledouttoo.WefinishbycheckingthatoptionAworks.SOLUTIONSINCLUDED-DONOTUSEFORCONTEST12(IR).Inoneofthepicturesbelow,ashapeisusedthatcannotbeseenintheothers.Inwhich4,Pre-EcolierFinalizedpictureisit?(A)(B)(C)(D)(E)Solution:TherectangleappearsonlyinoptionD.13(KW).Whichoptionshowstheviewfromabovethisstackofdiscs?(A)(B)(C)(D)(E)Solution:Inthetopviewwecanonlyseethetop5discs.Thetheorderofthecoloursfromtoptobottomis:blue,yellow,blue,green,red.TheanswerisA.14(PL).Whichofthefollowingpictureswillweseewhenweusethestampshown?(A)(B)(C)(D)(E)Solution:TheanswerisD,becauseit’slikeamirror.Soifintheoriginalwehaveapple,bananaandpear,inthestampwewillhavetheoppositeorder(pear,banana,andapple).Thepetiolesofthepearandappleshouldfaceeachother(shouldpointtowardsthebanana).115(DK).Katrinbuildsapatharoundeachsquareusingtilesliketheoneshown.2135Howmanytilesdoessheusearoundasquarewithside5?SOLUTIONSINCLUDED-DONOTUSEFORCONTEST(A)10(B)11(C)12(D)14(E)165,Pre-EcolierFinalizedSolution:Thepathneedsonemoretilealongeachedgeandso4moretilesthanthesquareofsidelength5.Theansweris12.16(PL).Annhas4stickersasshown.Shesticksdownthestaraftershesticksdownthesquare.Shesticksdownthestarbeforeshesticksdownthetriangle.Whichpicturecouldsheendupwith?(A)(B)(C)(D)(E)Solution:Annsticksdownthestaraftershesticksdownthesquare.Andshesticksdownthestarbeforethetriangle.Sothesquareisunderthestarandthetriangleisontopofthestar.SuchsituationisshownonlyinoptionE.5points17(PL).Thesumofthefivenumbersineachhouseis20.Somenumbershavebeenpaintedover.Whatnumberishiddenunderthequestionmark?(A)3(B)4(C)7(D)9(E)14Solution:Thesumofthevisiblenumbersinthefirsthouseis6+2+5=13.Thesumofthenumbersintheothertwocirclesinthishouseisequalto20−13=7.Thesumofthevisiblenumbersinthesecondhouseis3+1=4.So,inthecirclewiththequestionmarkthereis20−4−7=9.Anothersolution:Theinformationthatthesumofthenumbersineachhouseisequalto20isnotneeded.Itisenoughtonotethatthesumsoftheremainingnumbersinthesehousesareequal.Therefore6+2+5=3+1+?,andso?=9.18(GR).Somelawnsareshownbelow.Whichlawnisthesmallest?(A)(B)(C)(D)(E)Solution:Ifyouconnectthepointswithlines,youcanbuildtrianglesofequalsize.OptionAonlyhas7triangles,sothelawnissmaller.Theotheroptionshave8triangles.19(MK).Eachyear,Mariareceivedteddybearsforherbirthday.Forherfirstbirthdayshereceived1teddybear.Forhersecondbirthdayshereceived2teddybears.Foreachsubsequentbirthdayshereceivedoneteddybearmorethanthepreviousyear.HowmanyteddybearsdoesMariahaveintotalwhensheis6yearsold?SOLUTIONSINCLUDED-DONOTUSEFORCONTEST(A)19(B)20(C)21(D)22(E)236,Pre-EcolierFinalizedSolution:Thenumberofteddiesis1+2+3+4+5+6=21.20(CT).Dinomovesfromtheentrancetotheexitbygoingthroughrooms.Hecanonlygothrougheachroomonce.Dinoaddsupthenumbersashepassesthrougheachroom.WhatisthehighesttotalDinocanmake?(A)27(B)29(C)32(D)34(E)36Solution:Dinogoesthroughrooms1-5-6-7-3-4-8.Thisgiveshimthehighesttotal,whichis34.+21(EE).Inthepicture,eachshapestandsforadifferentnumber.18Whichnumbershouldbewritteninplaceofthequestionmark?+(A)10(B)12(C)1410(D)16(E)1814?Solution:Threesquarestogethermake18,soeachsquareis6.Onesquareandtwotrianglesmake14,soeachtriangleis4.Twotrianglesandonecirclemake10,soeachcircleis2.Thentwosquaresandonecirclemake14.22(SK).Threezebrastakepartinacontest.Thewinneristhezebrawiththemoststripes.Runahas15stripes,Zarahas3morethanRuna.Runahas5fewerstripesthanBiba.Howmanystripesdoesthewinnerhave?(A)16(B)18(C)20(D)21(E)22Solution:Runahas15stripes,Zarahas18stripesandBibahas20stripes.23(HK).Kangy’scarcanonlyturnleft.Itcanneverturnright.WhichofthefollowingfiveroutescanKangytake?(A)(B)(C)(D)(E)Solution:Alloptions,exceptforA,havearightturn.24(HU).Therearefivenumberedcardsonthetableasshown.Youmayswaptwocardsateachstep.Whatisthesmallest34152numberofstepsneededtoputthecardsintoincreasingorder?(A)1(B)2(C)3(D)4(E)5Solution:Noneofthecardsareintheirfinalplace.Onlytwocardscanbeputintheirfinalplaceinonestep,soaminimumof3stepsarerequired.3stepsareenough,forexample:swap3and1,swap4and2,swap5and4.SOLUTIONSINCLUDED-DONOTUSEFORCONTEST7,Level考试说明/InstructionTimeallowed:75minutes考试时长：75分钟Language:English&Chinese试卷语言：英文和中文Thisisa24-questionmultiple-choicecompetition.考试包含24道单项选择题。Problems1to8areworth3pointseach.1-8题每题3分Problems9to16areworth4pointseach.9-16题每题4分Problems17to24areworth5pointseach.17-24题每题5分1pointwillbedeductedforanincorrectanswerandnopointforablankanswer.答错扣1分，不答不扣分。Thefullscoreis120(Startingpointis24)总分为120分（起始分数为24分）Donotopenthisbookletuntilyouaretoldtodoso.A收到监考老师指令后，方可打开试卷册。Markyouranswersclearlyontheanswersheetusinga2Bpencil.务必使用2B铅笔在答题卡上正确填涂自己的答案。Grade1Calculatorcannotbeusedduringthecompetition.&考试期间禁止使用计算器。Grade2GoodLuck!预祝考试顺利,,KangarooMath2023(China)–LevelA3points1.Howmanycirclesarethereinthefigure?túzhōnɡyíɡònɡyǒuduōshǎoɡèyuán图中一共有多少个圆?(A)5(B)6(C)7(D)8(E)92.Thepictureshows5cubesviewedfromthefront.Whatistheviewfromabove?yòutúcónɡqiánmiànkànyǒuɡèlìfānɡtǐ右图从前面看有5个立方体。cónɡshànɡmiànkànshìshénmeyànɡzide从上面看是什么样子的？(A)(B)(C)(D)(E)3.Eachbowlcontainsfournumberedballs,asshown.Inwhichbowlisthesumofallthenumberslargest?xiàmiànměiɡèwǎnlǐdōuyǒusìkēshùzìqiúnǎɡèwǎnlǐdeshùzìzhīhézuìdà下面每个碗里都有四颗数字球，哪个碗里的数字之和最大？(A)(B)(C)(D)(E)3,KangarooMath2023(China)–LevelA4.MrBeaverrearrangesthepiecestomakeakangaroofigure.xiǎowēiyònɡqīqiǎobǎnpīnyìzhīdàishǔ小威用七巧板拼一只袋鼠。Whichpieceismissing?háiquēxiàmiànnǎyíkuài还缺下面哪一块？(A)(B)(C)(D)(E)5.Myboathasmorethan1circle.Italsohas2moretrianglesthansquares.Whichboatismine?wǒdechuánshànɡyǒubùzhǐɡèyuánsānjiǎoxínɡbǐzhènɡfānɡxínɡduōɡèxiàmiànnǎ我的船上有不止1个圆，三角形比正方形多2个。下面哪tiáochuánshìwǒde条船是我的？(A)(B)(C)(D)(E)4,KangarooMath2023(China)–LevelA6.Thisismygrandfather’sbirthdaycake.Alargecandlestandsforfor10yearsandasmallonefor1year.Howoldismygrandfather?zhèshìyéyedeshēnɡrìdànɡāoyìɡēnchánɡlàzhúdàibiǎosuìyìɡēn这是爷爷的生日蛋糕。一根长蜡烛代表10岁，一根duǎnlàzhúdàibiǎosuì短蜡烛代表1岁。yéyeduōdàle爷爷多大了？(A)65(B)66(C)76(D)77(E)787.Pabloputs10toycarsonthisracetrack.Howmanycarsareinthetunnel?xiǎobùzàizhèɡèsàidàoshànɡyíɡònɡfànɡleliànɡwánjùchēsuìdàolǐyǒuduōshǎo小布在这个赛道上一共放了10辆玩具车，隧道里有多少liànɡwánjùchē辆玩具车？(A)5(B)6(C)7(D)8(E)98.StevendrivesfromXtoY.Ateachcrossing,hestopsbeforegoingstraightahead.Intotal,howmanytimesdoeshestopatacrossing?wénwenkāichēcónɡchénɡdàochénɡzàiměiɡèshízìlùkǒu文文开车从X城到Y城，在每个十字路口，tādōuhuìtínɡxiàláiránhòuzàizhíxínɡtāzǒnɡɡònɡzàishí他都会停下来，然后再直行。他总共在十zìlùkǒutínɡleduōshǎocì字路口停了多少次？(A)11(B)12(C)13(D)14(E)155,KangarooMath2023(China)–LevelA4points9.Thereare5treesinapark.Abeavercanseeonlytwoofthetreesbecausealltheothersarehiddenbehindothertrees.Atwhichofthemarkedpointsisthebeaverstanding?yíɡèɡōnɡyuánlǐyǒukēshùyìzhīhǎilízhǐnénɡkàndàoqízhōnɡliǎnɡkēshùyīnwéi一个公园里有5棵树。一只海狸只能看到其中两棵树，因为qítāshùdōubèizhèliǎnɡkēshùdǎnɡzhùlehǎilízhànzàitúzhōnɡnǎɡèdiǎnshànɡ其他树都被这两棵树挡住了。海狸站在图中哪个点上？diǎndiǎndiǎndiǎndiǎn(A)atAA点(B)atBB点(C)atCC点(D)atDD点(E)atEE点10.Thereare24squaresinthepicture.Suchithascolouredsomeofthesquares.Howmanymoresquaresneedtobecolouredsothathalfofthesquaresarecoloured?túzhōnɡyǒuɡèfānɡkuàisūsūyǐjīnɡɡěiyìxiēfānɡkuàitúshànɡ图中有24个方块。苏苏已经给一些方块涂上leyánsèháixūyàozàiɡěiduōshǎoɡèfānɡkuàishànɡsècáinénɡ了颜色，还需要再给多少个方块上色，才能shǐdéyíbàndefānɡkuàidōuyǒuyánsè使得一半的方块都有颜色？(A)1(B)2(C)3(D)4(E)511.Thetwotokenswiththequestionmarkhavethesamenumber.Whatiseachmissingnumbersothatthesumis18?liǎnɡɡèdàiwènhàodeyuánquānlǐyǒuxiānɡtónɡdeshùzìwèileshǐzǒnɡhéwéiměi两个带问号的圆圈里有相同的数字。为了使总和为18，每ɡèwènhàoyuánquānlǐdeshùzìshìduōshǎo个问号圆圈里的数字是多少？(A)1(B)2(C)3(D)4(E)56,KangarooMath2023(China)–LevelA12.Rahawantstofinishthebeeontheleftaccordingtothemodelontheright.xiǎolāxiǎnɡànzhàoyòubiāndetúbǎzuǒbiāndemìfēnɡbǔchōnɡwánzhěnɡ小拉想按照右边的图把左边的蜜蜂补充完整。Rahaneedstowinpointstounlockpartsofthebee.Howmanypointsdoessheneedtowintocompletethebee?xiǎolāxūyàoyínɡdéjīfēnláijiěsuǒmìfēnɡdeɡèɡèshēntǐbùwèitāháixūyàoyínɡ小拉需要赢得积分来解锁蜜蜂的各个身体部位。她还需要赢déduōshǎofēncáinénɡwánchénɡzhèzhīmìfēnɡ得多少分才能完成这只蜜蜂？(A)9(B)10(C)11(D)12(E)1313.Thetablehas30boxes.Afterpaintingtheboxesinrow3,row6,columnCandcolumnD,howmanyboxeswillbenotpainted?biǎoɡélǐyǒuɡèɡéziɡěidìhánɡdìhánɡdìlièhédìlièdeɡézitúsè表格里有30个格子。给第3行、第6行、第C列和第D列的格子涂色hòuháiyǒuduōshǎoɡèɡéziméiyǒubèitúsè后，还有多少个格子没有被涂色？(A)8(B)10(C)12(D)18(E)227,KangarooMath2023(China)–LevelA14.Asheetofpaperisfoldedinhalf.Squareandroundholesarepunched.jiānɡyìzhānɡzhǐduìzhéhòudǎshànɡfānɡxínɡkǒnɡhéyuánxínɡkǒnɡ将一张纸对折后，打上方形孔和圆形孔。Howdoesthesheetlookafteritisunfoldedagain?zhǎnkāihòuzhèzhānɡzhǐshìshénmeyànɡzide展开后这张纸是什么样子的？(A)(B)(C)(D)(E)15.Astudentmadetheshapeshownusing12cubes.Heputonedropofgluebetweenanytwocubesthatshareacommonface.Howmanydropsofgluedidheuse?yíɡèxuéshēnɡyònɡɡèlìfānɡtǐdāchénɡletúzhōnɡdexínɡzhuànɡ一个学生用12个立方体搭成了图中的形状。ɡònɡyònɡyíɡèmiàndeliǎnɡɡèlìfānɡtǐzhījiāntādōuyònɡyìdī共用一个面的两个立方体之间，他都用一滴jiāoshuǐzhānzhùtāyíɡònɡyònɡleduōshǎodījiāoshuǐ胶水粘住，他一共用了多少滴胶水？(A)8(B)9(C)10(D)11(E)128,KangarooMath2023(China)–LevelA16.Maxwantstocompletethepuzzleshown.xiǎomàixiǎnɡwánchénɡtúzhōnɡdepīntú小麦想完成图中的拼图。Hehas5differentpiecesshown.tāyǒuɡèbùtónɡdepīntúkuài他有5个不同的拼图块。Whichpiecesdoeshehavetousetocompletethepuzzle?tābìxūyònɡnǎjǐkuàiláiwánchénɡzhèɡèpīntú他必须用哪几块来完成这个拼图？(A)(B)(C)(D)(E)5points17.Elvishas6identicaltriangleslikethis.Whichofthefollowingpicturescanhemake?yīyīyǒuɡèzhèyànɡdesānjiǎoxínɡtānénɡpīnchūxiàmiànnǎɡètúàn依依有6个这样的三角形，他能拼出下面哪个图案？(A)(B)(C)(D)(E)9,KangarooMath2023(China)–LevelA18.Fivechildrenshareabirthdayandeachchildhastheirowncake.LeaistwoyearsolderthanJose,butoneyearyoungerthanAli.Vittorioistheyoungest.WhichisSarah’scake?wǔɡèháiziyìqǐɡuòshēnɡrìměiɡèháizidōuyǒuzìjǐdedànɡāoxiǎolǐbǐxiǎosī五个孩子一起过生日，每个孩子都有自己的蛋糕。小李比小斯dàliǎnɡsuìdànbǐālǐxiǎoyísuìxiǎowéishìniánlínɡzuìxiǎodenǎɡèshìshāshādedàn大两岁，但比阿里小一岁。小维是年龄最小的。哪个是莎莎的蛋ɡāo糕？(A)(B)(C)(D)(E)19.ThemapshowsfivevillagesA,B,C,DandE,andthedistancesinkilometresbetweenthem.Onlytwovillagesarethesamedistanceapartnomatterwhichrouteyouchoose.Whicharethesetwovillages?dìtúshànɡxiǎnshìlewǔɡècūnzhuānɡhéyǐjí地图上显示了五个村庄A、B、C、D和E以及tāmenzhījiāndejùlíyǐqiānmǐwéidānwèiqízhōnɡzhǐ它们之间的距离（以千米为单位）。其中只yǒuliǎnɡɡècūnzhuānɡwúlùnnǐxuǎnzénǎtiáolùxiànzhè有两个村庄，无论你选择哪条路线，这liǎnɡɡècūnzhuānɡzhījiāndejùlídōushìxiānɡděnɡde两个村庄之间的距离都是相等的。qǐnɡwènshìnǎliǎnɡɡècūnzhuānɡ请问是哪两个村庄？héhéhé(A)BandEB和E(B)BandDB和D(C)CandEC和Ehéhé(D)AandCA和C(E)AandDA和D10,KangarooMath2023(China)–LevelA20.Samwalksthroughatwo-storeymazefromtheentrancetotheexit,bothlocatedatfloor1.Inwhatorderwillshefindthewallstickers?xiǎosàcónɡlóurùkǒuzǒudàolóuchūkǒuxūyàochuānɡuòyíɡèliǎnɡcénɡlóudemí小萨从1楼入口走到1楼出口，需要穿过一个两层楼的迷ɡōnɡtāhuìànzhàoshénmeshùnxùkàndàoqiánɡshànɡdetiēzhǐ宫。她会按照什么顺序看到墙上的贴纸？(A)(B)(C)(D)(E)21.Emmafinishedthirdinasolodancecompetition.Therewerethreedancersbetweenherandlastplace.Intotal,howmanydancerstookpartinthecompetition?xiǎoàizàiɡèrénwǔdǎobǐsàizhōnɡhuòdédìsānmínɡtāhézuìhòuyìmínɡzhījiānyǒu小艾在个人舞蹈比赛中获得第三名，她和最后一名之间有sānmínɡxuǎnshǒuzǒnɡɡònɡyǒuduōshǎomínɡxuǎnshǒucānjiālebǐsài三名选手。总共有多少名选手参加了比赛？(A)4(B)5(C)6(D)7(E)822.Malikplacesoneofthefivepiecesonthegrid.Hecannotrotateorflipthepieces.Whichpieceshouldheusetocoverthenumberswiththelargestsum?xiǎomǎxiǎnɡjiānɡwǔɡèxuǎnxiànɡzhōnɡdeyíɡèpīntúkuàifànɡzàiyòu小马想将五个选项中的一个拼图块放在右cèwǎnɡɡéshànɡtābùnénɡxuánzhuǎnhuòfānzhuǎnzhèxiēpīntúkuài侧网格上，他不能旋转或翻转这些拼图块。tāyònɡnǎɡèpīntúkuàifùɡàideshùzìzǒnɡhézuìdà他用哪个拼图块覆盖的数字总和最大？(A)(B)(C)(D)(E)11,KangarooMath2023(China)–LevelA23.Threefrogsliveinapond.Eachnight,oneofthefrogssingsasongtotheothertwo.After9nights,oneofthefrogshadsung2times.Anotherfroghadlistenedto5songs.Howmanysongshadthethirdfroglistenedto?sānzhīqīnɡwāzhùzàiyíɡèchítánɡlǐměitiānwǎnshànɡqízhōnɡyìzhīqīnɡwādōuhuì三只青蛙住在一个池塘里。每天晚上，其中一只青蛙都会ɡěilìnɡwàiliǎnɡzhīqīnɡwāchànɡyìshǒuɡēɡèwǎnshànɡzhīhòuqízhōnɡyìzhīqīnɡwā给另外两只青蛙唱一首歌。9个晚上之后，其中一只青蛙chànɡlecìɡēlìnɡyìzhīqīnɡwātīnɡleshǒuɡēdìsānzhīqīnɡwātīnɡleduōshǎo唱了2次歌，另一只青蛙听了5首歌，第三只青蛙听了多少shǒuɡē首歌？(A)7(B)6(C)5(D)4(E)324.Digits1,1,2and3areprintedonfourdifferentcards.Threecardsarelaidouttomakeasubtraction,asshowninthepicture.Howmanydifferentresultscanbeobtained?shùzìhébèidǎyìnzàisìzhānɡkǎpiànshànɡjiānɡsānzhānɡkǎpiànbǎizàiyìqǐ数字1、1、2和3被打印在四张卡片上。将三张卡片摆在一起zuòjiǎnfǎrútúsuǒshìkěyǐdédàoduōshǎozhǒnɡbùtónɡdejiéɡuǒ做减法，如图所示。可以得到多少种不同的结果？(A)6(B)8(C)10(D)12(E)2412,Pre-EcolierFinalizedPre-Ecolier3points1(Myanmar).Howmanycirclesarethereinthefigure?(A)5(B)6(C)7(D)8(E)9Solution:Thereare3outercirclesand5innercircles,sointotal8circles.2(Myanmar).Thepictureshows5cubesviewedfromthefront.contestWhatistheviewfromabove?for(A)(B)(C)(D)(E)Solution:Thecubesonthetopareleftredandblueright.Themiddledoesn’thaveacubeonthetop,sothecolouryouseeisyellow.Therefore,fromlefttoright,weseered,yellow,blue.use3(Croatia).Eachbowlcontainsfournumberedballs,asshown.Inwhichbowlisthesumofallthenumberslargest?notdo8746799774-4979474495(A)(B)(C)(D)(E)Solution:Noticethatineachbowlthereisaballwithnumber9,7and4.SothesumdependsonlyonthefourthnumberandisthelargestinA.included4(China).MrBeaverrearrangesthepiecestomakeakangaroofigure.SolutionsWhichpieceismissing?(A)(B)(C)(D)(E)Solution:Thekangarooismadeof5trianglesand1square.SoMrBeaverdidnotusethepiecewithnumber3.1,Pre-EcolierFinalized5(Slovakia).Myboathasmorethan1circle.Italsohas2moretrianglesthansquares.Whichboatismine?(A)(B)(C)(D)(E)Solution:Myboathasmorethan1circle,thereforewerejecttheanswerC.Nowwecounthowmanytrianglesandsquaresareonthesails.InAthereare2trianglesand1square(1moretrianglethansquare)-notthecorrectanswer.InBthereare3trianglesand2squares(1moretrianglethansquares)-notthecorrectanswer.InDthereare1triangleand3squares(2lesstrianglethansquares)-notthecorrectanswer.InEthereare4trianglesand2squares(2moretrianglethansquares),sothisismyboat.contestforuse6(France).Thisismygrandfather’sbirthdaycake.Alargecandlestandsforfor10yearsandasmallonefor1year.Howoldismygrandfather?not(A)65(B)66do(C)76(D)77-(E)78Solution:Thereare7bigcandlesand6smallonesonthecake.Sograndfatheris7×10+6×1=76yearsold.included7(Montenegro).Pabloputs10toycarsonthisracetrack.Howmanycarsareinthetunnel?Solutions(A)5(B)6(C)7(D)8(E)9Solution:Thereareintotal10carsontheracetrack.Wecansee4carsthatarenotinthetunnel,so10−4=6carsareinthetunnel.2,Pre-EcolierFinalized8(Greece).StevendrivesfromXtoY.Ateachcrossing,hestopsbeforegoingstraightahead.Intotal,howmanytimesdoeshestopatacrossing?(A)11X(B)12Y(C)13(D)14(E)15Solution:Thecarwillstopeachtimeitreachesareddot,andthencontinuestraightahead.Allofthecrossingswillbepassedexactlytwice.Intotal,thecarwillstop14times.4pointscontest9(Greece).Thereare5treesinapark.AbeavercanseeonlytwoBCforofthetreesbecausealltheothersarehiddenbehindothertrees.AtAwhichofthemarkedpointsisthebeaverstanding?D(A)atAuse(B)atB(C)atCnot(D)atDEdo(E)atE-Solution:FromanypointexceptD,thebeavercanseemorethan2trees.FromthepointD,thetwobigtreesblockallrestfromview.10(Canada).Thereare24squaresinthepicture.Suchithascolouredsomeofthesquares.Howmanymoresquaresneedtobecolouredsothathalfofthesquaresarecoloured?included(A)1(B)2(C)3(D)4(E)5Solution:Halfthenumberofsquaresis24/2=12,and9squaresarealreadycoloured.Therefore,3moreneedtobecoloured.11(Denmark).Thetwotokenswiththequestionmarkhavethesamenumber.WhatiseachSolutionsmissingnumbersothatthesumis18?10??218(A)1(B)2(C)3(D)4(E)5Solution:Wecanadd10+2=12.Then18−12=6andsothenumberoneachtokenis3.12(Iran).Rahawantstofinishthebeeontheleftaccordingtothemodelontheright.3,Pre-EcolierFinalized123456Rahaneedstowinpointstounlockpartsofthebee.Howmanypointsdoessheneedtowintocompletethebee?(A)9(B)10(C)11(D)12(E)13contestSolution:Themissingpartofthebeeare1eye,1antena,1wing,1mouth.Altogethertheseneed1+3+4+5=13points.for13(Russia).Thetablehas30boxes.Afterpaintingtheboxesinrow3,row6,columnCandcolumnuseD,howmanyboxeswillbenotpainted?ABCDE1not2do3-456(A)8(B)10(C)12(D)18(E)22includedSolution:Wecanmarkthesquaresandcounthowmanyareleft.ABCDE12345Solutions614(Russia).Asheetofpaperisfoldedinhalf.Squareandroundholesarepunched.Howdoesthesheetlookafteritisunfoldedagain?4,Pre-EcolierFinalized(A)(B)(C)(D)(E)Solution:Afterunfolding,thetwosquareholeswillbeclosertogetherthanthetworoundholes.15(Greece).Astudentmadetheshapeshownusing12cubes.Heputonedropofgluebetweenanytwocubesthatshareacommonface.Howmanydropsofgluedidheuse?(A)8(B)9(C)10(D)11(E)12contestSolution:Bycountingcarefully,weseethattheremustbe11dropsofglue.foruse16(Poland).Maxwantstocompletethepuzzleshown.notHehas5differentpiecesshown.doWhichpiecesdoeshehavetousetocompletethepuzzle?-(A)(B)(C)included(D)(E)Solution:Hehastouse1atthetop,4attherightand5atthebottom.5pointsSolutions17(Denmark).Elvishas6identicaltriangleslikethis.Whichofthefollowingpicturescanhemake?1(A)(B)(C)5111,Pre-EcolierFinalized(D)(E)Solution:WeonlyneedtocompareonepieceofeachoptionandnoticethatonlyAiscorrect.1118(Poland).Fivechildrenshareabirthdayandeachchildhastheirowncake.LeaistwoyearsolderthanJose,butoneyearyoungerthanAli.Vittorioistheyoungest.WhichisSarah’scake?contestfor(A)(B)(C)(D)(E)useSolution:Thefivechildrenareaged8,7,6,5and4.Vittorioistheyoungestsoheis4.LeaistwoyearsolderthanJoseandoneyearyoungerthanAli,soJoseis5,Leais7andAliis8yearsold.Sothefifthchild,Sarah,is6yearsold.not19(Greece).ThemapshowsfivevillagesA,B,C,DanddoE,andthedistancesinkilometresbetweenthem.Onlytwo-villagesarethesamedistanceapartnomatterwhichrouteyouchoose.Whicharethesetwovillages?(A)BandE(B)BandD(C)CandE(D)AandC(E)AandDincludedSolution:Thewholecircuitis7+2+6+4+5=24km.Soifthetwodistancesareequal,eachmustbe12km.Sowearelookingforavillagethatthereisanotheroneatadistance12kmgoing,say,clockwise.FromA,wehaveBisdistance7km(toolittle),Cis7+2=9km(alsotoolittle)andDis7+2+6=15km(toomuch).SoAisnotoneofthevillages.TryB.Wehavedistances2,2+6=8,2+6+4=12km.Thisisacceptable,sothetwovillagesareBandE.OnecanverifythattheotherdirectionjoiningBandEis12km,asbefore.Onecanalsoverifythattheothercases,suchasfromCorD,donotgiveusdistance12kmtoanyvillage,sotheyarenottheanswer.Solutions20(Belgium).Samwalksthroughatwo-storeymazefromtheentrancetotheexit,bothlocatedatfloor1.Inwhatorderwillshefindthewallstickers?12(A)(B)(C)(D)(E)Solution:Thereisonlyoneroutefromtheentrancetotheexit.Inorder,Samwillseetheshark,6,Pre-EcolierFinalizedrhinocerosandfrog.21(Slovakia).Emmafinishedthirdinasolodancecompetition.Therewerethreedancersbetweenherandlastplace.Intotal,howmanydancerstookpartinthecompetition?(A)4(B)5(C)6(D)7(E)8Solution:Emmafinishedthird,sothereareatleast3dancersinthecompetition,includingher.AfterEmmawehave3moredancersandthedancerwhoisinlastplace.Intotalthatwillbe3+3+1=7dancersinthecompetition.22(Canada).Malikplacesoneofthefivepiecesonthegrid.Hecannotrotateorflip167thepieces.Whichpieceshouldheusetocoverthenumberswiththelargestsum?954283contest(A)(B)(C)(D)(E)Solution:Allpiecescoverfivesquaresonthegrid.Thefivelargestnumbersare9,8,7,6and5.forOnlyonepiecewillcoverallofthese.23(Lithuania).Threefrogsliveinapond.Eachnight,oneofthefrogssingsasongtotheotherusetwo.After9nights,oneofthefrogshadsung2times.Anotherfroghadlistenedto5songs.Howmanysongshadthethirdfroglistenedto?not(A)7(B)6(C)5(D)4(E)3Solution:Oneachofthe9nights,onefrogsang,theothertwolistened.Thefirstfrogsang2times;dothesecondfroglistened5times.Thismeansthethirdfrogsang3times,andsoitmusthavelistened-9−3=6times.24(HongKong).Digits1,1,2and3areprintedonfourdifferentcards.Threecardsarelaidouttomakeasubtraction,asshowninthepicture.How−manydifferentresultscanbeobtained?(A)6(B)8(C)10(D)12(E)24includedSolution:Withdigits1,1,2and3wecanmakeexpressions:11−2=9,11−3=8,12−1=11,12−3=9,13−1=12,13−2=11,21−1=20,21−3=18,23−1=22,31−1=30,31−2=28,32−1=31.Thereare12expressionsbutonly10uniqueresults.Solutions7