加拿大国际袋鼠数学竞赛试题及答案（2022年-2023年）

1Youhave45minutestosolve18multiplechoiceproblems.Foreachproblem,

circleonlyoneoftheproposedfivechoices.Ifyoucirclemorethanone

choice,yourresponsewillbemarkedaswrong.

2Recordyouranswersintheresponseform.Rememberthatthisistheonly

sheetthatismarked,somakesureyouhaveallyouranswerstransferred

totheresponseformbeforegivingitbacktothecontestsupervisor.

3Theproblemsarearrangedinthreegroups.Acorrectanswerofthefirst6

problemsisworth3points.Acorrectansweroftheproblems7-12isworth

4points.Acorrectansweroftheproblems13-18isworth5points.For

eachincorrectanswer,onepointisdeductedfromyourscore.Each

unansweredquestionisworth0points.Toavoidnegativescores,youstartfrom18points.The

maximumscorepossibleis90.

4Theuseofexternalmaterialoraidofanykindisnotpermitted.

5Thefiguresarenotdrawntoscale.Theyshouldbeusedonlyforillustration

purposes.

6Remember,youhaveabout2to3minutesforeachproblem;hence,ifa

problemappearstobetoodifficult,saveitforlaterandmoveontoanother

problem.

7Attheendoftheallottedtime,pleasegivetheresponseformtothe

contestsupervisor.

8DonotforgettopickupyourCertificateofParticipationonyourwayout!

Goodluck!

CanadianMathKangarooContestteam

Grade1-22018

PartA:Eachcorrectanswerisworth3points

+?(A)

1.Whichshapecannotbeformedusingand°

^^(B)(D)^T

一

JL

2.Atleasthowmany4-raystarslikearegluedtogetherto

makethisshape/隔飞年?

(A)5(B)6(C)7(D)8(E)9

3.Thispizzawasdividedintoequalslices.

Howmanyslicesaremissing?

(A)l(B)2(C)3(D)4(E)5

Page1

Grade1-22018

Howmanykangaroosmustbemovedfromoneparktotheotherinorderto

getthesamenumberofkangaroosineachpark?

(A)4

5.Whichoftheseladybugshastoflyawaysothattherestofthemhave20

dotsintotal?

Emiliebuildstowersinthefollowingpattern

Page2

Grade1-22018

PartB:Eachcorrectanswerisworth4points

7.Ifo+◊=4and△+△+△=9,whatisthevalueofO+△=?

(A)2(B)3(C)4(D)5(E)6

Lisahas4piecesbutsheonlyneeds3for

completingherpuzzleframeLWhichpiecewillbeleftover?

(A)

Howmanyrighthandsareinthispicture?

10.Thedogwenttoitsfoodfollowingapath.Intotalitmade3rightturnsand

2leftturns.Whichpathdidthedogfollow?

Grade1-22018

11.Whatnumberisintheboxmarked〃？〃?

1245

369

915

9

(A)6(B)13(C)24(D)29(E)Someothernumber

12.Charlescutaropeinthreeequalpiecesandthenmadesomeequalknots

withthem.Whichfigurecorrectlyshowsthethreepieceswiththeknots?

(B)

(C)(D)

(E)

PartC:Eachcorrectanswerisworth5points

13.Howmanycirclesandhowmanysquaresarecoveredbytheblotinthe

picture?

(A)1circleand3squares

(B)2circlesand1square

(C)3circlesand1square

(D)1circlesand2squares

(E)2circlesand2squares

Grade1-22018

14.Dianashootsthreearrowsatatarget.

Onherfirsttry,shegets6pointsandthe

arrowslandlikethis:

Onhersecondtry,shegets8pointsandthe8points

arrowslandlikethis:

Onherthirdtry,thearrowslandlikethis:?points

Howmanypointswillshegetthethirdtime?(A)89j

10(C)12(D)14(E)16

Howmanydifferentnumbersgreaterthan10andsmallerthan25with

distinctdigitscanwemakebyusinganytwoofthedigits2,0,1,and8?

(A)4(B)5(C)6(D)7(E)8

16.Markhadsomesticksoflength5cmandwidth1cm

Withthesticksheconstructedthefencebelow.

Whatisthelengthofthefence?

(A)20cm(B)21cm(C)22cm(D)23cm(E)25cm

Page5

Grade1-22018

17.TheroadfromAnna，shousetoMary，shouseis16kmlong.

TheroadfromMary'shousetoJohn，shouseis20kmlong.

TheroadfromthecrossroadtoMary，shouseis9kmlong.

HowlongistheroadfromAnna'shousetoJohn*shouse?

(A)7km(B)9km(C)11km(D)16km(E)18km

18.Therearefourladybugsona4x4board.Twoareasleepanddonotmove.

Theothertwoladybugsmoveonesquareeveryminute(up,down,left,orright).Here

arepicturesoftheboardforthefirstfourminutes:

Page6

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INTERNATIONALCONTEST-GAME

MATHKANGAROO

CANADA,2018

INSTRUCTIONS

GRADE3-4

1.Youhave60minutestosolve24multiplechoiceproblems.Foreachproblem,

circleonlyoneoftheproposedfivechoices.Ifyoucirclemorethanonechoice,

yourresponsewillbemarkedaswrong.

2.Recordyouranswersintheresponseform.Rememberthatthisistheonlysheet

thatismarked,somakesureyouhaveallyouranswerstransferredtothe

responseformbeforegivingitbacktothecontestsupervisor.

3.Theproblemsarearrangedinthreegroups.Acorrectanswerofthefirst8

problemsisworth3points.Acorrectansweroftheproblems9-16isworth4

points.Acorrectansweroftheproblems17-24isworth5points.Foreach

incorrectanswer,onepointisdeductedfromyourscore.Eachunanswered

questionisworth0points.Toavoidnegativescores,youstartfrom24points.The

maximumscorepossibleis120.

4.Theuseofexternalmaterialoraidofanykindisnotpermitted.

5.Thefiguresarenotdrawntoscale.Theyshouldbeusedonlyforillustration

purposes.

6.Remember,youhaveabout2to3minutesforeachproblem;hence,ifaproblem

appearstobetoodifficult,saveitforlaterandmoveontoanotherproblem.

7.Attheendoftheallottedtime,pleasegivetheresponseformtothecontest

supervisor.

8.DonotforgettopickupyourCertificateofParticipationonyourwayout!

Goodluck!

CanadianMathKangarooContestteam

Grade3-42018

CanadianMathKangarooContest

PartA:Eachcorrectanswerisworth3points

Leahas10rubberstamps.Eachstamphasoneofthedigits:

0,1,2,3,4,5,6,7,8,9.

SheprintsthedateofSt.Patrick'sDay2022:

□□mmna

Howmanydifferentstampsdoessheuse?

(A)5(B)6(C)7(D)9(E)10

2.Thepictureshowsthreeflyingarrowsandninefixed

balloons.Whenanarrowhitsaballoon,itbursts,

andthearrowfliesfurtherinthesamedirection.

Howmanyballoonswillbehitbythearrows?

(A)2(B)3(C)4

(D)5(E)6

3.Susanissixyearsold.Ilersisterisoneyearyounger,andherbrotherisoneyear

older.Whatisthesumoftheagesofthethreesiblings?

(A)10(B)15(C)18(D)21(E)30

4.HereisapictureofSophietheladybugSheturnsaround.Whichpictureof

theladybugsbelowisnotSophie?

⑻金*胃(C)j胃ikb(D)•FF・

(A)

5.Lucyfoldsasheetofpaperinhalf.Thenshecutsapieceoutofi|t|.Whatwill

shes«eewhensheunfoldsthepaper?

⑷(B)(c)|Cb^|(D)|(R)o|o

Page1

Grade3-42018

Atableissetfor8people.

◎◎◎

Howmanysettingshavetheforktotheleftoftheplateandtheknifetotherightof

theplate?

(A)5(B)4(C)6(D)2(E)3

First,Dianascores12pointsintotalwiththreearrows.Onhersecondturnshe

scores15points.

Howmanypoints

(A)18(B)19(020(D)21(E)22

PartB:Eachcorrectanswerisworth4points

9.Howmanydifferentnumbersgreaterthan12andsmallerthan58withdistinctdigits

canwemakebyusinganytwoofthedigits0,1,2,5,and8?

(A)3(B)5(C)7(D)8(E)9

Page2

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Grade3-42018

14.Tomcutstwotypesofpiecesoutofgridpaper.

WhatisthesmallestnumberofpiecesidenticaltotheonesshownthatTomneedsto

buildthe

(A)5(E)9

413111214

TheroomsinKanga*shousearenumbered.BabyRooenters—I—I-I—I—

themaindoor,passesthroughsomeroomsandleavesthe659106

house.Thenumbersoftheroomsthathevisitsarealways56789

increasing.Throughwhichdoordoesheleavethehouse?

958912

(A)A(B)B(C)C(D)D(E)E

12146109

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16.Petarabbithad20carrots.Sheatetwocarrotseveryday.SheateAhe^tweQthQarfet

onWednesday.Onwhichdaydidshestarteatingthecarrots?

(A)Monday(B)Tuesday(C)Wednesday(D)Thursday(E)Friday

PartC:Eachcorrectanswerisworth5points

17.Thebeltshowninthedrawingcanbefastenedinfiveways.

Howmuchlongeristhebeltfastenedinoneholethanthebeltfastenedinallfive

holes?

(A)4cm(B)8cm(C)10cm(D)16cm(E)20cm

Page4

Grade3-42018

18.Inanancientwritingthesymbols诔稻Gr<CXrepresentthe

numbers1,2,3,4,and5.Nobodyknowswhichsymbolrepresentswhichnumber.

Weknowthat

将+榜=<0