2018袋鼠数学竞赛-4年级

 Singapore Math Kangaroo Contest 2018 Primary 4 / Grade 4 Contest Paper Name: School: INSTRUCTIONS: 1. Please DO NOT OPEN the contest booklet until the Proctor has given permission to start. 2. Duration: 1 hour and 30 minutes 3. There are 24 questions in this paper. Each question scores 3 points in Section A, 4 points in Section B and 5 points in Section C. No points are deducted for Unanswered question. 1 point is deducted for Wrong answer. 4. Shade your answers neatly in the answer entry sheet. 5. PROCTORING: No help should be given to any student in any way during the contest. 6. No calculators are allowed. 7. All students must fill and shade in your Name, Index number, Level and School in the Answer sheet provided. 8. Students are not allowed to leave the venue within the first hour of the contest and 15 minutes before the end of the contest. 9. Students must show detailed working and transfer their answers to the answer entry sheet. 10. No spare papers can be used in writing this contest. Enough space is provided for your working of each question. 11. Students are not allowed take any answer script, reference materials and contest paper out of the venue. Rough Working

SingaporeMathKangarooContest2018–Primary4/Grade4

SectionA(Correct–3points|Unanswered–0points|Wrong–deduct1point)

Question1Leoniehas10rubberstamps.Eachstamphasoneofthedigits:0,1,2,3,4,5,6,7,8and9.SheprintsthedateoftheKangaroocontestasshownbelow.Howmanystampsdoessheuse?

15(A)5

(B)6

03(C)7

2018(D)9

(E)10

Question2

Thepictureshows3flyingarrowsand9fixedballoons.Whenanarrowhitsaballoon,itbursts,andthearrowfliesfurtherinthesamedirection.Howmanyballoonswillbehitbythearrows?

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

Question3

Susanis6yearsold.Hersisterisoneyearyoungerandherbrotherisoneyearolder.Whatisthesumoftheagesofthethreesiblings?(A)10

(B)15

(C)18

(D)21

(E)30

Question4

Thepictureshowsfivescrewsinablock.Amongthe5screws,only1ofthemisshorterthantheother4screws.Whichscrewistheshortest?

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

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SingaporeMathKangarooContest2018–Primary4/Grade4

Question5

Thepictureoftheladybirdisshownbelow.Whichoptionisnotthesameladybird?

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

Question6

Lucyfoldsasheetofpaperinhalf.Thenshecutsapieceoutofitasshowninthepicturebelow.Whatwillsheseewhensheunfoldsthepaper?

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

Question7

Inherfirsttry,Dianascores12pointsintotalwiththreearrows.Onhersecondtryshescores15points.Howmuchpointsdoesshescoreonherthirdtry?(A)18(B)19(C)20(D)21(E)22

Question8

Mikesetsthetablefor8guestsasshowninthepicturebelow.Hewantstoserveeachguestwiththecorrectarrangement,whichmeansaforkontheleftofeachplateandaknifeontheright.Howmanyguestwillhavethecorrectarrangement?(A)5(B)4(C)6(D)2(E)3

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SingaporeMathKangarooContest2018–Primary4/Grade4

SectionB(Correct–4points|Unanswered–0points|Wrong–deduct1point)Question9

Robertomakesdesignsusingtileslikethis

.Howmanyofthe5designscanhemake?

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

Question10

Albertfillsthegridbelowwithfivefigures.Eachfigureappearsexactlyonceineverycolumnandeveryrow.WhichfiguremustAlbertputinthesquarewiththequestionmark?

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

Question11

Tomwantstocovertheboatcompletelyusingthe2typesofshapes,asquareandatrapeziumasshowninthepicturebelow.Ifnoshapescanoverlapeachother,whatistheleastnumberofsquareandtrapeziumpiecesdoesTomneedstocovertheboatcompletely?

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

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SingaporeMathKangarooContest2018–Primary4/Grade4

Question12

Thecoloursinthepicturebelowareinverted.Thenthepicturewasrotated.Whatdoesthenewpicturelooklike?

(A)(B)(C)(D)(E)Question13

Arabbithas20carrots.Iteats2carrotseveryday.Ifitatethe12thcarrotonWednesday,whichdaydidtherabbitstarteatingthecarrots?(A)Monday

(B)Tuesday

(C)Wednesday

(D)Thursday

(E)Friday

Question14

Tobyglues10cubestogethertomakethestructureshownbelow.Hepaintsthesurfaceofthestructure,includingthebottom.Howmanycubesarepaintedonexactly4facespainted?

1(A)6(B)7(C)8(D)9(E)10

Question15

Thereare8flowersonarosebush.Therearenomorethanoneinsectperflower.Morethanhalfoftheflowersareoccupied.Thenumberofbutterfliesontheflowersistwicethenumberofdragonfliesontheflowers.Howmanybutterfliesareontheflowers?

11111

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

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SingaporeMathKangarooContest2018–Primary4/Grade4

Question16

CaptainKookwantstosailfromtheislandcalledEasterthrougheveryislandonthemapandbacktoEaster.Thetotaljourneyis100kmlong.Someofthedistancesbetweeneachislandhavebeenwritteninthepictureasshownbelow.Forexample,thedistancebetweenEasterIslandandVolcanoIslandis17km.ThedistancebetweenDesertIslandandLakeIslandisthesameasthedistancebetweenEasterIslandandFlowerIslandthroughVolcanoIsland.WhatisthedistancebetweenEasterIslandandLakeIsland?

FlowerVolcano15Desert1726EasterLake(A)17km(B)23km(C)26km(D)33km(E)35km

SectionC(Correct–5points|Unanswered–0points|Wrong–deduct1point)

Question17

TheroomsinKanga’shousearenumberedfrom1to14.BabyRooentersthemaindoorasindicatedbythearrowshowinthepicturebelow.HepassesthroughsomeroomsbeforeleavingthehouseinoneofthedoorslabeledA,B,C,DandE.Thenumbersoftheroomsthathevisitsarealwaysincreasing.Throughwhichdoordoesheleavethehouse?

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

Question18

Fourballseachweigh10,20,30and40.Whichballweighs30?

CDABBDC(A)A

(E)ItcouldbeAorB

(B)B(C)C(D)D

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flipSingaporeMathKangarooContest2018–Primary4/Grade4

2 cm2 cmQuestion19Thebandshowninthedrawingcanbefastenedinfiveways.Howmuchlongeristhebandfastenedinoneholethanthebandfastenedinallfiveholes?Band fastened in one hole(A)4cm(B)8cm(C)10cm(D)16cm(E)20cm

Question20

Inanancientlanguagethesymbolsnumbers1,2,3,4,and5.Itisknownthat:Nobodyknowswhichsymbolthat:representswhichnumber.ItisknownWeknowthat:

representthefollowing

Whichsymbolrepresentsthenumber3?(A)

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

ItisknownItthat:isknownthat:Itthat:isknownthat:Itisknowntisknownthat:

Question21Thestainedglasstileisflipped.Oneoftheflipsisshown.Whatdoesthestainedglasstilelooklikeatthefarrightofthefigureshownbelow?(A)(B)(C)(D)(E)

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SingaporeMathKangarooContest2018–Primary4/Grade4

Question22

Thelargerectangleismadeupofdifferentsizedsquaresasshowninthepicturebelow.The3smallsquareseachhaveanareaof1.Whatistheareaofthelargerectangle?111(A)165(B)176(C)187(D)198(E)200

Question23

Loeswantstowritethenumbersfrom1to7intheboxesshownbelow.Twoconsecutivenumberscannotbewrittenintwoneighbouringboxes.Neighbouringboxesshareacommonside.Whatnumberscanshewriteintheboxmarkedwithaquestionmark?

(A)allsevennumbers(B)onlyoddnumbers(C)onlyevennumbers(D)onlynumber4

(E)onlythenumbers1or7

Question24

TodefeatadragonMathiashastocutoffallthe1dragon’sheads.Ifhecancutoff3dragon’sheads,onenewheadimmediatelygrows.Mathiasdefeatsthedragonbycuttingoff13headsintotal.Howmanyheadsdidthedragonhaveinthebeginning?(A)8

(B)9

(C)10

(D)11

(E)12

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Rough Working