Singapore Math Kangaroo Contest 2017 Primary 4 Contest Paper Name: School: INSTRUCTIONS: 1. Please DO NOT OPEN the contest booklet until the Proctor has given permission to start. 2. TIME : 1 hour and 30 minutes 3. There are 30 questions in this paper. 3 points, 4 points and 5 points will be awarded for each correct question in Section A, Section B and Section C respectively. 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 one may help 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. MINIMUM TIME: Students must stay in the exam hall for at least 1 hour and 15 minutes. 9. Students must show detailed working and transfer 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. You must return this contest paper to the proctor. Rough Working
SingaporeMathKangarooContest2017–Primary4/Grade4
SectionA(Correct–3points|Unanswered–0points|Wrong–deduct1point)
Question1
Whichofthepieces(A,B,C,D,E)willfitinbetweenthetwopiecesbelow,suchthatthetwoequationsformedwillbetrue?
8–3=2
=55–1
(A)
(B)
=34–2=45–3
(D)
=51+2
(C)
=51+1
(E)
Question2
Johnlooksthroughthewindowasshowninthepicturebelow.Heonlyseeshalfthenumberofkangaroosinthepark.Howmanykangaroosarethereintheparkintotal?
(A)12(B)14(C)16(D)18(E)20
1
SingaporeMathKangarooContest2017–Primary4/Grade4
Question3
Twogriddedtransparentsheetsaredarkenedinsomesquares,asshowninthepicturebelow.Theyarebothplacedontopoftheboardshowninthemiddle.Thethepicturesbehindthedarkenedsquarescannotbeseen.Onlyoneofthepicturescanstillbeseen,whichpictureisit?
(A)(B)(C)(D)(E)Question4Aoriginalpictureoffootprints(left)wasrotatedinaparticularway.Theresultisshownontherightoftheoriginalpicture.Whichpairoffootprintsaremissing?(A)(B)(C)(D)(E)
Question5
Whatnumberishiddenbehindthepanda?
10+ 6 =
(A)16
+8
– 6 = (C)20
+ 8
– 10 = = A
(D)24
(E)28
(B)18
1
2
1
SingaporeMathKangarooContest2017–Primary4/Grade4
Question6
Inthetablebelow,thecorrectsumsareshown.Whatnumberisintheboxwiththequestionmark?
(A)10(B)12(C)13(D)15(E)16
Question7
Dollyaccidentallybrokethemirrorintopieces.Howmanypieceshaveexactlyfoursides?
(A)2(B)3(C)4(D)5(E)6
Question8
Whichoptionshowsthenecklacebelowwhenitisuntangled?
(A)(B)(C)(D)(E)
3
SingaporeMathKangarooContest2017–Primary4/Grade4
SectionB(Correct–4points|Unanswered–0points|Wrong–deduct1point)
Question9
ThepicturebelowshowsthefrontofAnn’shouse.Thebackofherhousehasthreewindowsandnodoor.WhatdoesAnnseewhensheisstandingfromthebackofherhouse?
(A)(B)(C)
(D)
Question10
Whichoptioniscorrect?
(E)
(A)(D)
(B)(E)
(C)
4
SingaporeMathKangarooContest2017–Primary4/Grade4
Question11
Balloonsaresoldinpacketsof5,10and25.Mariusbuysexactly70balloons.Whatisthesmallestnumberofpacketshecouldbuy?(A)3
(B)4
(C)5
(D)6
(E)7
Question12
Bobfoldedapieceofpaper.Hecutexactlyoneholethroughthefoldedpaper.Thenheunfoldedthepieceofpaperandsawtheresultasshowninthepicturebelow.HowdidBobfoldhispieceofpaper?
(A)(B)(C)(D)(E)
Question13
Thereisatournamentatapool.Atfirst,13childrensignedup,andthenanother19signedup.Sixteamswithanequalnumberofmembersareneededforthetournament.
Atleasthowmanymorechildrenneedtosignupsothatthesixteamscanbeform?(A)1
(B)2
(C)3
(D)4
(E)5
Question14
Numbersareplacedinthecellsofthe4×4squareshowninthepicturebelow.Maryselectsany2×2squarein4×4squareandaddsupallthenumbersinthefourcells.Whatisthelargestpossiblesumshecanget?
(A)11(B)12(C)13(D)14(E)15
5
SingaporeMathKangarooContest2017–Primary4/Grade4
Question15
Davidwantstocook5dishesonastovewithonly2burners.Thetimeheneededtocookthe5dishesare40mins,15mins,35mins,10minsand45mins.Whatistheshortestpossibletimeinwhichhecancookall5dishes?(Hecanonlyremoveadishfromthestovewhenitisfullycooked.)(A)60min(D)80min
(B)70min(E)85min
(C)75min
Question16
Whichnumbershouldbewritteninthecirclecontainingthequestionmark?(A)10(B)11(C)12(D)13(E)14
SectionC(Correct–5points|Unanswered–0points|Wrong–deduct1point)
Question17
Thepictureshowsagroupofbuildingblocksandaplanoftheseblocks.Someinkhasdrippedontotheplan.Whatisthesumofthenumberscoveredbytheink?3114131(A)3(B)4(C)5
6
(D)6(E)7
SingaporeMathKangarooContest2017–Primary4/Grade4
Question18
Howlongisthetrain?
340 m110 m(A)55m
(B)115m
(C)170m
(D)220m
(E)230m
Question19Georgetrainsathisschoolfieldatfiveo’clockeveryafternoon.Thejourneyfromhishousetothebusstoptakes5minutes.Thebusjourneytakes15minutes.Ittakeshim5minutestogofromthebusstoptothefield.Thebusrunsevery10minutesfromsixinthemorning.Whatisthelatesttimehehastoleavehishouseinordertoarriveatthefieldexactlyontime?
(A)(B)(C)
(D)(E)
Question20
Asmallzoohasagiraffe,anelephant,alionandaturtle.Susanwantstoplanatourwhereshesees2differentanimals.Shedoesnotwanttostartwiththelion.Howmanydifferenttourscansheplan?(A)3
(B)7
(C)8
(D)9
(E)12
7
SingaporeMathKangarooContest2017–Primary4/Grade4
Question21
Fourbrothershaveeaten11cookiesintotal.Eachofthemhaseatenatleastonecookieandnotwoofthemhaveeatenthesamenumberofcookies.Threeofthemhaveeaten9cookiesintotalandoneofthemhaseatenexactly3cookies.Whatisthelargestnumberofcookiesoneofthebrothershaseaten?(A)3
(B)4
(C)5
(D)6
(E)7
Question22
Zosiahashiddensomesmileysinsomeofthesquaresinthetable.Insomeoftheothersquaresshewritesthenumberofsmileysintheneighbouringsquaresasshowninthepicture.Twosquaresaresaidtobeneighbouringiftheyshareacommonsideoracommoncorner.Howmanysmileyshasshehidden?
(A)4(B)5(C)7(D)8(E)11
Question23
Tenbagscontaindifferentnumbersofcandiesfrom1to10ineachofthebag.Fiveboystooktwobagsofcandieseach.Alexgot5candies,Bobgot7candies,Charlesgot9candiesandDennisgot15candies.HowmanycandiesdidEricget?(A)9
(B)11
(C)13
(D)17
(E)19
Question24
Katehas4flowers,onewith6petals,onewith7petals,onewith8petalsandonewith11petals.Katetearsoffonepetalfromthreeflowers.Shedoesthisseveraltimes,choosinganythreeflowerseachtime.Shestopswhenshecannolongertearonepetalfromthreeflowers.Whatisthesmallestnumberofpetalswhichcanremain?(A)1(B)2(C)3(D)4(E)5
8
Rough Working
Rough Working
