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
1
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
2
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
3
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
4
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
5
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)
6
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
7
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Rough Working
