The CENTRE for EDUCATIONin MATHEMATICS and COMPUTING

Le CENTRE d’EDUCATIONen MATHEMATIQUES et en INFORMATIQUE

www.cemc.uwaterloo.ca

2014Results

Euclid Contest

2014Resultats

Concours Euclide

c©2014 Centre for Education in Mathematics and Computing

Competition Organization Organisation du Concours

Centre for Education in Mathematics and Computing Faculty and Staff /Personnel du Centre d’education en mathematiques et informatique

Ed Anderson Conrad HewittJeff Anderson Angie HildebrandTerry Bae Carrie KnollSteve Brown Judith KoellerErsal Cahit Joanne KursikowskiAlison Cornthwaite Bev MarshmanHeather Culham Mike MiniouSerge D’Alessio Dean MurrayFrank DeMaio Jen NissenJennifer Doucet J.P. PrettiFiona Dunbar Kim SchnarrMike Eden Carolyn SedoreBarry Ferguson Ian VanderBurghJudy Fox Troy VasigaSteve Furino JoAnn VincentJohn Galbraith Tim ZhouSandy Graham

Problems Committee / Comite des problemes

Fiona Dunbar (Chair / presidente), University of Waterloo, Waterloo, ONMike Aben, Lakefield College School, Lakefield, ONKathir Brabaharan, Sir John A. Macdonald C.I., Scarborough, ONAdam Brown, University of Toronto Schools, Toronto, ONSteve Brown, University of Waterloo, Waterloo, ONSerge D’Alessio (Acting Chair), University of Waterloo, Waterloo, ONCharlotte Danard, Toronto, ONGarry Kiziak, Burlington, ONDarren Luoma, Bear Creek S.S., Barrie, ONAlex Pintilie, Crescent School, Toronto, ONDavid Pritchard, Princeton University, Princeton, NJRoss Willard, University of Waterloo, Waterloo, ON

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Comments on the Paper Commentaires sur les epreuves

Overall CommentsCongratulations to all of the participants in the 2014 Euclid Contest. The average score in 2014 was 48.1. Wewere very pleased that a almost all students achieved some success on the early parts of the paper. At the sametime, the later parts of these problems managed to challenge the top students even more than last year’s problems.Special congratulations go to the 33 official contestants who achieved scores of 90 and higher this year.

We at the Centre for Education in Mathematics and Computing believe strongly that it is very important forstudents to both learn to solve mathematics problems and learn to write good solutions to these problems. Manystudents do a reasonable job of writing solutions, while others still include no explanation whatsoever.

Special thanks go to the Euclid Committee that annually sets the Contest problems and manages to achievea very difficult balancing act of providing both accessible and challenging problems on the same paper.

To the students who wrote, the parents who supported them, and the teachers who helped them along theway, thank you for your continuing participation and support. We hope that you enjoyed the Contest and relishedthe challenges that it provided. We hope that mathematics contests continue to feed your love for and interest inmathematics.

Specific Comments

1. Average: 9.3This question was well done. A few students did not remember that

√16, for example, has only one value.

2. Average: 9.0Part (a) was well done. A common error was not to include the diameter in the perimeter of the region.Parts (b) and (c) were very well done.

3. Average: 8.0Part (a) was quite well done. Part (b) was fairly well done. Many students began correctly using an algebraicsolution, however did not factor or show the factors of the resulting cubic equation to determine the roots.

4. Average: 5.9Part (a) was fairly well done. A number of students gave an answer that suggested that they had missedone or two of the positive divisors. Some students did not answer the question that was asked. In part (b),many students equated two incorrect lengths (AB = BC or AC = BC). Using either the correct equalityor one of the incorrect ones, students had little difficulty solving the equations that resulted.

5. Average: 4.5This problem was generally well done. In part (a), most students where able to determine the total amountof acid in the three bottles and the amount of acid in the first mixture. Some had difficulty determiningwhat to do with this information. A fair number of students achieved 6 or 7 marks (out of 7) on part (b),with the majority completing the square in some fashion. Many students did not sufficiently justify whytheir result was the minimum.

6. Average: 3.6In part (a), a number of students did not know where to begin. Some worked with an equation likex

40 ·x

40 = 512 or x

40 + x− 139 = 5

12. In part (b), a majority of the students obtained a correct answer

by pairing terms, but did not discuss the possibility of n being even or odd; more reasoning was necessarywhen using this approach. A good number of the students who developed two equations in terms of twounknowns were able to proceed with a correct algebraic solution.

3

Comments on the Paper Commentaires sur les epreuves

7. Average: 3.7Many students identified the correct answer to part (a) by inspection. An algebraic approach, withoutsubstitution, was often abandoned. A majority of students identified one of the two solutions in part(b) through inspection (with or without an initial substitution). A common mistake made with a cor-rect algebraic approach was not including both the values log10(log10 x) = 2 and log10(log10 x) = −2.A fair number of students incorrectly applied the power law of logarithms on the first step, to obtainlog10(log10 x) log10 x = 10000.

8. Average: 3.4There were many interesting approaches to part (a), including solutions involving finding similar triangles,placing a coordinate system with the x-axis parallel to BC, extending line segments AD and BC until theymeet, etc. Part (b) was generally more difficult than part (a). Many students saw at least one pair ofcongruent triangles, and most of those students saw another pair of congruent triangles. The part that wascrucially missing in quite a few student solutions was looking at the ∠MCN by breaking it up into smallerangles.

9. Average: 0.4Of the small number students who attempted part (a), a few realized that sin(45◦) was a crucial number,and that separating the related term allowed the pairing of terms to move closer to the solution. Generally,this problem was very tricky for students, since it involved thinking of the sequence using both trigonometricidentities (like sin(θ) = cos(90◦−θ)) and also some algebraic manipulation (like the factorization of x3 +y3).Part (b) was extremely demanding. Many students misinterpreted the problem and ignored the constraintthat the sum of the digits was 5, or that the integers had n digits. This question had very few attemptedsolutions.

10. Average: 0.3Part (a) had the most success of any part in problems 9 and 10, since many students could reverse the processby applying moves of various types in “reverse”. Parts (b) and (c) both required very intricate solutions,since there are many components that require a large degree of care.

Please visit our website at www.cemc.uwaterloo.ca to download the 2014 Euclid Contest, plus fullsolutions.

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Comments on the Paper Commentaires sur les epreuves

Commentaires GenerauxFelicitations a tous les participants du Concours Euclide 2014. La note moyenne etait 48,1. Nous avons eu leplaisir de constater que presque tous les eleves ont eu du succes dans les premieres questions. De plus, les dernieresparties de ces problemes presentaient un plus grand defi pour les meilleurs etudiants que l’annee derniere. Desfelicitations speciales vont aux trente-trois concurrents officiaux qui ont atteint une note superieure ou egale a 90sur 100.

Le Centre d’education en mathematiques et en informatique croit fortement qu’il est tres important pour lesetudiant(e)s d’apprendre a resoudre des problemes de mathematiques ainsi que d’apprendre a ecrire de bonnessolutions a ces problemes. Plusieurs etudiants developpent leurs solutions resonablement bien, tandis que d’autresn’inclus aucune explication avec leurs reponses.

Un grand merci va au comite du concours Euclide qui rassemble annuellement les problemes du concours etreussit a accomplir la tache difficile de concevoir des problemes accessibles et stimulants sur le meme examen.

Un grand merci aux etudiant(e)s qui ont ecrit, aux parents qui les ont soutenus et aux enseignant(e)s qui lesont aides pour votre participation continue et votre soutien. Nous esperons que vous avez apprecie le concours etsavoure les defis qu’il a presentes. Nous esperons que les concours de mathematiques continuent a nourrir votreamour et interet pour les mathematiques.

Remarques particulieres

1. Moyenne: 9,3Cette question a ete bien reussie. Quelques eleves ne se souvenaient pas que

√16, par exemple, n’admet

qu’une valeur.

2. Moyenne: 9,0La partie (a) a ete bien reussie. Assez souvent, les eleves ont omis le diametre dans le calcul du perimetredu demi-disque. Les parties (b) et (c) ont ete tres bien reussies.

3. Moyenne: 8,0La partie (a) a ete bien reussie. La partie (b) a ete assez bien reussie. Bon nombre d’eleves ont procede cor-rectement pour simplifier l’equation, mais n’ont pas factorise le polynome du troisieme degre pour determinerles racines de l’equation qui en resultait.

4. Moyenne: 5,9La partie (a) a ete assez bien reussie. Certaines reponses indiquaient que les eleves avaient omis un ou deuxdes diviseurs positifs. Certains eleves ont repondu a cote du sujet. Dans la partie (b), bon nombre d’elevesont mal choisi les longueurs egales (en choisissant AB = BC ou AC = BC). Dans tous les cas, les elevesn’ont eprouve aucune difficulte a resoudre l’equation qui en resultait.

5. Moyenne: 4,5Cette question a ete assez bien reussie. Dans la partie (a), la plupart des eleves ont reussi a determinerla quantite d’acide dans chacune des trois bouteilles ainsi que la quantite d’acide dans le melange initial.Certains ne savaient pas comment utiliser ces resultats. Bon nombre d’eleves ont obtenu 6 ou 7 points (sur7) dans la partie (b). La majorite d’entre eux ont complete le carre d’une facon ou d’une autre. Bon nombred’entre eux n’ont pas suffisamment justifie pourquoi la valeur etait la plus petite valeur possible.

6. Moyenne: 3,6Dans la partie (a), certains eleves ne savaient pas comment commencer. Certains ont utilise une equationtelle que x

40 ·x

40 = 512 ou x

40 + x− 139 = 5

12. Dans la partie (b), la majorite des eleves ont obtenu la bonne

reponse en appariant des termes deux a deux, sans considerer si n etait pair ou impair. Cette approche

5

Comments on the Paper Commentaires sur les epreuves

exigeait un raisonnement plus pousse. Bon nombre d’eleves ont developpe un systeme de deux equations adeux inconnues et ont reussi a obtenir la reponse en procedant correctement.

7. Moyenne: 3,7Bon nombre d’eleves ont trouve la reponse de la partie (a) par inspection. D’autres ont tente de resoudrel’equation de facon algebrique sans substitution, tout en abandonnant en chemin. La majorite des elevesont obtenu une des deux racines dans la partie (b) par inspection (avec ou sans substitution au depart).Assez souvent, les eleves qui ont bien utilise une approche algebrique n’ont pas utilise les deux valeurslog10(log10 x) = 2 and log10(log10 x) = −2. Bon nombre d’eleves ont utilise de facon incorrecte la loi despuissances pour les logarithmes, au depart, obtenant ainsi log10(log10 x) log10 x = 10000.

8. Moyenne: 3,4Dans la partie (a), les eleves ont utilise une variete interessante d’approches, comme l’utilisation de trianglessemblables, l’utilisation d’un repere cartesien avec l’axe des abscisses parallele a BC, le prolongement dessegments AD et BC jusqu’a ce qu’ils se coupent, etc. La partie (b) etait plus difficile que la partie (a). Laplupart des eleves ont repere deux triangles isometriques et la plupart d’entre eux en ont trouve deux autres.Bon nombre d’eleves n’ont pas considere l’angle MCN en le coupant en deux parties, ce qui etait essentiel.

9. Moyenne: 0,4Tres peu d’eleves ont tente de resoudre la partie (a). Parmi eux, quelques-uns ont constate l’importancedu terme sin6(45◦) qui permettait d’apparier les autres termes deux a deux pour continuer la solution. Ceprobleme etait exigeant, car il fallait traiter le membre de gauche en considerant son aspect trigonometrique(p. ex., sin(θ) = cos(90◦− θ)) ainsi que son aspect algebrique (comme la factorisation de x3 + y3). La partie(b) etait aussi tres exigeante. Bon nombre d’eleves ont omis la contrainte voulant que les entiers aient deschiffres qui ont une somme de 5 ou celle voulant que les entiers aient n chiffres. Tres peu d’eleves ont presenteune tentative de solution.

10. Moyenne: 0,3Les eleves ont connu un plus grand succes dans la partie (a) que dans toute autre partie des numeros 9 et10, car ils ont reussi a proceder correctement en travaillant a rebours. Les parties (b) et (c) exigeaient dessolutions complexes, car elles avaient plusieurs composantes ou il fallait proceder avec soin.

Veuillez visiter notre site Web a www.cemc.uwaterloo.ca pour telecharger le Concours Euclide 2014,avec solutions completes.

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Champions – 2014 Champions – 2014

STUDENTS / ELEVESStudents are listed in alphabetical order. / Les eleves sont nommes en ordre alphabetique.

Plaques Michael Chow Albert Campbell C.I. Scarborough, ONAntonio Molina Lovett Ecole Ste. Anne Fredericton, NBMichael Pang Fort Richmond C.I. Winnipeg, MBQi Qi Burnaby North S.S. Burnaby, BCIlia Sucholutsky Thornhill S.S. Thornhill, ON

Each plaque winner receives a $500 cash prize from the Centre for Education in Mathematicsand Computing. /Chaque eleve qui recois une plaque recevra aussi un prix de 500 $ du Centre d’education enmathematiques et en informatique.

Book Prizes/ Sina Abbasi Richmond Hill H.S. Richmond Hill, ONLetian Chan Vincent Massey S.S. Windsor, ONLeo Feng Vincent Massey S.S. Windsor, ONSimon Huang Marc Garneau C.I. North York, ONZhengxu Jin Waterloo C.I. Waterloo, ONDima Paramonov Marc Garneau C.I. North York, ONFrieda Rong Marc Garneau C.I. North York, ONXiaoze Jerry Wu Marc Garneau C.I. North York, ONHeng Xia Sir Winston Churchill S.S. Vancouver, BCJingxu Zhang Pierre Elliott Trudeau H.S. Markham, ONYexinhao Zhou Marc Garneau C.I. North York, ON

TEAMS / EQUIPESChampion/Premiere: Vincent Massey S.S. Windsor, ONSecond/Deuxieme: Burnaby North S.S. Burnaby, BC

Marc Garneau C.I. North York, ONFourth/Quatrieme: Albert Campbell C.I. Scarborough, ON

Thornhill S.S. Thornhill, ON

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Enrollment Inscription

Number of students registered by province /Nombre d’etudiants inscrit par province

Enrollment/Inscription

AB 534BC 2232MB 309NB 145NL 112NS 164NT 10ON 9342PE 20QC 258SK 118YT 4International 4913

Total 18161

There were 1490 schools enrolled. / 1490 ecoles etaient inscrites.

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Student Rankings Classements des eleves

Score/ Rank/ Score/ Rank/ Score/ Rank/ Score/ Rank/Note Position Note Position Note Position Note Position

100 1 74 1005 49 6211 24 1279499 73 1142 48 6520 23 1292598 2 72 1285 47 6834 22 1303597 3 71 1417 46 7120 21 1314696 4 70 1585 45 7457 20 1325195 6 69 1750 44 7749 19 1332794 9 68 1910 43 8042 18 1340093 13 67 2087 42 8339 17 1347192 20 66 2271 41 8624 16 1351991 22 65 2444 40 8949 15 1358190 27 64 2631 39 9233 14 1363489 34 63 2830 38 9519 13 1367288 39 62 3007 37 9808 12 1370587 50 61 3244 36 10113 11 1373086 72 60 3450 35 10398 10 1376085 100 59 3663 34 10673 9 1378084 143 58 3914 33 10931 8 1379383 192 57 4136 32 11192 7 1380782 240 56 4366 31 11437 6 1382081 285 55 4618 30 11675 5 1382980 347 54 4855 29 11890 4 1383479 422 53 5123 28 12073 3 1383878 540 52 5402 27 12251 2 1384377 640 51 5691 26 12468 1 1384876 760 50 5963 25 12646 0 1385175 880

N.B. These rankings pertain to official contestants only. /N.B. Ces rangs ne s’appliquent qu’aux concurrents officiels.

Distribution of Marks / Distribution des pointsThis chart pertains to official contestants only. / Le graphique s’appliquent qu’aux concurrents officiels.

Number of competitors: 13852Average Mark: 48.1

Score/ Percentage of Students/ Cumulative Percentage/Note Pourcentage des etudiants Pourcentage accumule81-100 2.5 2.576-80 3.8 6.371-75 5.1 11.466-70 6.2 17.661-65 7.3 24.956-60 8.4 33.351-55 9.7 43.046-50 10.8 53.841-45 10.8 64.636-40 10.5 75.131-35 9.2 84.326-30 7.0 91.321-25 4.4 95.70-20 4.3 100.0

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2014Euclid Contest/Concours Euclide

Team Honour Roll/Palmarès d'équipes

Rank/Rang School/École City/Ville Score/Note1 Vincent Massey S.S. Windsor 2742 Burnaby North S.S. Burnaby 2732 Marc Garneau C.I. North York 2734 Albert Campbell C.I. Scarborough 2644 Thornhill S.S. Thornhill 2646 Richmond Hill H.S. Richmond Hill 2617 New Westminster S.S. New Westminster 2597 University of Toronto Schools Toronto 2599 Pierre Elliott Trudeau H.S. Markham 25610 Earl Haig S.S. North York 25511 Sir Winston Churchill S.S. Vancouver 25412 University Hill S.S. Vancouver 25312 Western Canada H.S. Calgary 25314 Fort Richmond C.I. Winnipeg 25214 Pope John Paul II S.S. Scarborough 25214 Waterloo C.I. Waterloo 25217 Bayview S.S. Richmond Hill 25118 A.B. Lucas S.S. London 24918 Don Mills C.I. North York 24920 Abbey Park H.S. Oakville 24721 Columbia Int'l College Hamilton 24622 Branksome Hall Toronto 24522 Markville S.S. Markham 24522 York Mills C.I. North York 24525 Marianopolis College Westmount 24125 Markham District H.S. Markham 24125 Mentor College Mississauga 24128 A.Y. Jackson S.S. North York 23928 Fredericton H.S. Fredericton 23928 St. George's School Vancouver 23931 Lisgar C.I. Ottawa 23831 Semiahmoo S.S. Surrey 23831 Sir Winston Churchill H.S. Calgary 23831 The Woodlands Sec. School Mississauga 23835 Woburn C.I Scarborough 23736 Glenforest S.S. Mississauga 23636 Pinetree S.S. Coquitlam 23638 Bell H.S. Nepean 23538 Dr. Norman Bethune C.I. Scarborough 23540 Fieldstone King's College School Toronto 23441 Georges Vanier S.S. North York 23341 Unionville H.S. Markham 23341 Victoria Park C.I. North York 23344 Centennial C. and V.I. Guelph 23244 Halifax West H.S. Halifax 23244 White Oaks S.S. Oakville 23247 Northern S.S. Toronto 23147 Upper Can Col-Upper School Toronto 23149 Earl of March S.S. Kanata 23049 J.N. Burnett S.S. Richmond 23049 New Oriental Int'l College Scarborough 23049 University Transition Program Vancouver 230

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiants

Name/Nom School/École Location/Endroit Grade/Niveau

Group I/Groupe I Scores/Notes 100 - 94CHOW MICHAEL Albert Campbell C.I. Scarborough 12MOLINA LOVETT ANTONIO Ste. Anne Fredericton 12PANG MICHAEL Fort Richmond C.I. Winnipeg 11QI QI Burnaby North S.S. Burnaby 9SUCHOLUTSKY ILIA Thornhill S.S. Thornhill 11

Group II/Groupe II Scores/Notes 93 - 88ABBASI SINA Richmond Hill H.S. Richmond Hill 11CHANG CHEN Vincent Massey S.S. Windsor 12CHEN LETIAN Vincent Massey S.S. Windsor 12DU RONGXIN Marc Garneau C.I. North York 11FENG LEO Vincent Massey S.S. Windsor 9HUANG SIMON Marc Garneau C.I. North York 12JIN ZHENGXU Waterloo C.I. Waterloo 12LUO QINHAO Thornhill S.S. Thornhill 12PARAMONOV DIMA Marc Garneau C.I. North York 11RONG FRIEDA Marc Garneau C.I. North York 11WU XIAOZE JERRY Marc Garneau C.I. North York 12XIA HENG Sir Winston Churchill S.S. Vancouver 10ZHANG JINGXU Pierre Elliott Trudeau H.S. Markham 11ZHENG DA WEI New Westminster S.S. New Westminster 12ZHOU JOHN University of Toronto Schools Toronto 12ZHOU YEXINHAO Marc Garneau C.I. North York 12ZHU JUN JIE Windermere S.S. Vancouver 12

Group III/Groupe III Scores/Notes 87 - 85AHN SUNGIL Yale S.S. Abbotsford 11BELFER ROBERT Marianopolis College Westmount 13CAI JIAWEI Fredericton H.S. Fredericton 12CAO VICLY New Westminster S.S. New Westminster 11CHEN ZHI XUE Markville S.S. Markham 10DIAO SHUO Earl Haig S.S. North York 11DONG JIAQI Don Mills C.I. North York 12FAN SENBO A.N. Myer S.S. Niagara Falls 10FANG YU LIANG University of Toronto Schools Toronto 11FARRAN DIAZ NATHAN University of Toronto Schools Toronto 12GUO JENNIFER Marc Garneau C.I. North York 10LI QIYANG Richmond Hill 11LIM JEANNE Burnaby North S.S. Burnaby 10LIN HANZHEN Markham District H.S. Markham 12LUO QIUYUE Westdale S.S. Hamilton 12PURCARUS ANDREI Vanier College Saint-Laurent 13RAO FUWEI Vincent Massey Collegiate Winnipeg 12SHAO YU XUAN Burnaby North S.S. Burnaby 12SHEN SI CHEN Centennial C. and V.I. Guelph 11SISSON DESMOND Western Canada H.S. Calgary 12SONG LINLIANG Pope John Paul II S.S. Scarborough 12WANG RUIQI Point Grey S.S. Vancouver 12WANG STELLAR Steveston London S.S. Richmond 12WANG YING York Mills C.I. North York 10

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiants

Group III/Groupe III Scores/Notes 87 - 85WONG JONATHAN Bayview S.S. Richmond Hill 11WU FEI Upper Can Col-Upper School Toronto 12YANG MICHAEL Dr. Norman Bethune C.I. Scarborough 12ZHANG AORAN Pope John Paul II S.S. Scarborough 12ZHANG KAISHAN Ontario International College Toronto 12ZHANG KE COCO Branksome Hall Toronto 11ZHANG LILY Earl Haig S.S. North York 12ZHANG YAN A.B. Lucas S.S. London 12ZHAO MENGXUE Richmond Hill H.S. Richmond Hill 11ZHOU DANIEL Centennial Collegiate Saskatoon 9ZHU FRANK University Hill S.S. Vancouver 12ZOU CHENGTAO Bell H.S. Nepean 12

Group IV/Groupe IV Scores/Notes 84 - 82BI YUHAN Southpointe Academy Delta 12BO YURAN Western Canada H.S. Calgary 11CAO JET Burnaby North S.S. Burnaby 11CAO VICTORIA Vincent Massey S.S. Windsor 12CHEN TIANYI Western Canada H.S. Calgary 12CHEN YUHENG York Mills C.I. North York 12CHEN ZI KAI Colonel By S.S. Gloucester 12CHOW RICHARD Albert Campbell C.I. Scarborough 10CHOW STEVEN Albert Campbell C.I. Scarborough 9DAI BIWEI Bayview S.S. Richmond Hill 12DING CHEN YUE North York 12ELAMURUGAIYAN AARURAN Albert Campbell C.I. Scarborough 12ENHAO FENG University Hill S.S. Vancouver 10FAN LUN DING Markville S.S. Markham 12GE SABRINA University of Toronto Schools Toronto 12GUO BENSON William Lyon Mackenzie C.I. North York 11HAN FRANK Earl Haig S.S. North York 12HU DANCHENG Fort Richmond C.I. Winnipeg 12HU KATHERINE Unionville H.S. Markham 12HU TING HAN Waterloo C.I. Waterloo 12HUANG XIAORAN Southpointe Academy Delta 12HUO SITONG Bayview S.S. Richmond Hill 12JIANG JIAHUI North York 12JIN YIN Pope John Paul II S.S. Scarborough 12KIM DONGHWAN St. Andrew's College Aurora 11LAVI EILON A.B. Lucas S.S. London 12LEE YUJIN Abbey Park H.S. Oakville 12LI ANDREW Vincent Massey S.S. Windsor 11LI CHUQIAO Lisgar C.I. Ottawa 12LI ZIYANN St. George's School Vancouver 12LIM SEOKHO Halifax West H.S. Halifax 11LIN YIHAO Albert Campbell C.I. Scarborough 12LIPPAI CHRISTIAN Stratford Central S.S. Stratford 11LIU SIHAO Don Mills C.I. North York 12LOO NOEL Western Canada H.S. Calgary 10MA ZIYE Pierre Elliott Trudeau H.S. Markham 12MUTHUKUDA PASINDU Burnaby Central S.S. Burnaby 12OUYANG SHUYAN Stephen Lewis S.S. Mississauga 12PARK JEONGSEUNG University Hill S.S. Vancouver 12SAFADI YUSUF Abbey Park H.S. Oakville 11

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiants

Group IV/Groupe IV Scores/Notes 84 - 82SONG PHILLIP Highland S.S. Dundas 11SUN HAIJING Appleby College Oakville 11SUN JIALE Victoria Park C.I. North York 12TANG HAOJI Seaquam S.S. Delta 12TIAN YIRAN Columbia Int'l College Hamilton 12WANG DAVID Marc Garneau C.I. North York 12WU YI DI LILY Vincent Massey S.S. Windsor 12XU FREDDY Sir Winston Churchill S.S. Vancouver 11XU NATHANIEL Earl Haig S.S. North York 12YIN DAVID New Westminster S.S. New Westminster 11ZHAI SABRINA University Transition Program Vancouver 9ZHANG WALEY New Westminster S.S. New Westminster 10ZHANG YI XIAO Woburn C.I Scarborough 11ZHAO JIADUN Columbia Int'l College Hamilton 12ZOU ZHILING Richmond Hill H.S. Richmond Hill 11

Group V/Groupe V Scores/Notes 81 - 79ARORA RAHUL Sir Winston Churchill H.S. Calgary 11CAI ZEBOBENJAMIN Semiahmoo S.S. Surrey 12CAO JUNZE Mentor College Mississauga 11CHEN DAISY Michael Power-St Joseph Etobicoke 12CHEN HAN Earl Haig S.S. North York 12CHEN YUMENG Fieldstone King's College Scho Toronto 12CHOPRA PARTH Bayview S.S. Richmond Hill 9CUI ALEXANDER University of Toronto Schools Toronto 10CUI BOB Fraser Heights S.S. Surrey 10DAI YU NING Sir Winston Churchill H.S. Calgary 12DENG TING Richmond Hill H.S. Richmond Hill 12DOAD JAGROOP Vincent Massey S.S. Windsor 11FENG JERRY Sandwich S.S. Windsor 12FENG ZEYU Nancy Campbell C.I Stratford 12FRANCIS DAVID University of Toronto Schools Toronto 11GAO INGYUAN Clarkson S.S. Mississauga 12HAN CHONG HAO A.B. Lucas S.S. London 10HUANG XINYI Medway H.S. Arva 12HUANG YIZHOU Richmond Hill 10JIA BILL University of Toronto Schools Toronto 11JIA FLORENCE Earl Haig S.S. North York 12JIA RUORUI London 12JIANG ZIWEI Edward Schreyer School Beausejour 11JIN QIA NSHI Earl Haig S.S. North York 12JING LUCY Bayview S.S. Richmond Hill 10KESELJ STEFAN Charles P. Allen H.S. Bedford 12KIM CHELSEA Abbey Park H.S. Oakville 12KIM EUN KEE Mentor College Mississauga 12KORHANI NAVID St. Elizabeth C.H.S. Thornhill 13LEE JAMES Semiahmoo S.S. Surrey 10LI SIYUN North Toronto C.I. Toronto 11LI ZHUZHEN Claremont S.S. Victoria 11LIU BETTY Bayview S.S. Richmond Hill 11LIU CHELSEA Ont. Science Centre Science Sc North York 12LIU JIAYUN Colonel Gray Sr. H.S Charlottetown 12LIU YULI J.N. Burnett S.S. Richmond 12LIU YUXUA N Columbia Int'l College Hamilton 11

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V Scores/Notes 81 - 79LOU YUE Rockridge S.S. West Vancouver 11LU HENRY Bayview S.S. Richmond Hill 11LU LIUPEI Pinetree S.S. Coquitlam 12LUO GABRIEL Sir Winston Churchill S.S. Vancouver 10MO YIFAN Town Ctr. Montessori Priv. Sch Markham 12NI CHRIS A.Y. Jackson S.S. North York 12PAN ERIC London Central S.S. London 12PATCHELL GREGORY Sir John A. Macdonald School Upper Tantallon 11PURCELL SEAN Marc Garneau C.I. North York 11QIN LIFEI Glenforest S.S. Mississauga 12QIN SHIRLEY George S. Henry Academy North York 12QIU EVA Argyle S.S. North Vancouver 12REN SHAUN The Woodlands Sec. School Mississauga 12SHEN CRYSTAL Academie Ste. Cecile Int'l Windsor 12SHENG ZHIHAO Elgin Park S.S. Surrey 11SHI CHUYUAN Trinity College School Port Hope 11SHI DYLAN Eric Hamber S.S. Vancouver 11SHIH ANDY Richmond S.S. Richmond 12SMIRNOV GEORGE Ashbury College Rockcliffe 12SONG ZE Earl of March S.S. Kanata 12SUN KAI London 9TAN WIL Earl Haig S.S. North York 10TAUBKIN TOM Thornhill S.S. Thornhill 11WANG BONING Braemar College Toronto 12WANG FENGYANG Sir John A. Macdonald S.S. Waterloo 11WANG JUSTIN Bayview S.S. Richmond Hill 11WANG LINCHUAN Lockview H.S. Fall River 10WANG SHURAN A.Y. Jackson S.S. North York 11WANG XINYU Don Mills C.I. North York 11WANG YI TAO St. George's School Vancouver 12WANG YIFEI Town Ctr. Montessori Priv. Sch Markham 12WANG YINING New Oriental Int'l College Scarborough 12WANG YUN ZHI Thornhill S.S. Thornhill 12WANG ZHONGDAO Columbia Int'l College Hamilton 12WU MOHAN Vincent Massey S.S. Windsor 12WU YULUN Rothesay Netherwood School Rothesay 11XIANG HANGZUO Earl Haig S.S. North York 12XINMENG JIANG Mentor College Mississauga 12XU JUDY Branksome Hall Toronto 12XU NUO Champlain Reg. College - Sherb Sherbrooke 13XU ROBBIN Lisgar C.I. Ottawa 12XUAN LINGYAN Columbia Int'l College Hamilton 12YANG JUNYI Earl of March S.S. Kanata 12YANG MICKEY Sir Winston Churchill H.S. Calgary 12YIN YUJIA A.Y. Jackson S.S. North York 11YU JAMES Don Mills C.I. North York 12YU XIAOXUAN Walter Murray C.I. Saskatoon 12YU XINYUAN Mentor College Mississauga 12YU YUEMING Sir Winston Churchill H.S. Calgary 12YUAN MORGAN Bayview S.S. Richmond Hill 10ZENG KAILIN Georges Vanier S.S. North York 12ZHAN REENA University of Toronto Schools Toronto 12ZHANG ALEX Fredericton H.S. Fredericton 12ZHANG CHI Kelvin H.S. Winnipeg 12ZHANG EDWARD Bayview S.S. Richmond Hill 11

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V Scores/Notes 81 - 79ZHANG KEVIN Marianopolis College Westmount 12ZHANG RUOXI Stephen Leacock C.I. Scarborough 11ZHAO BINGCHENG John Fraser S.S. Mississauga 12ZHAO QIYI Havergal College North York 11ZHAO STEPHEN The Woodlands Sec. School Mississauga 11ZHENG CHENYUE Suon Int'l Academy Etobicoke 12ZHENG ECHO Branksome Hall Toronto 12ZHOU JOHN Oakville Trafalgar H.S. Oakville 10ZHU HANYU Glenforest S.S. Mississauga 10ZHU LIANGYU Toronto Secondary Academy Toronto 12ZHU TONGYI White Oaks S.S. Oakville 11ZOU PEIYAO White Oaks S.S. Oakville 12ZOU WILLIAM Pierre Elliott Trudeau H.S. Markham 11

2014Euclid Contest/Concours Euclide

Team Honour Roll/Palmarès d'équipesInternational

Rank/Rang School/École City/Ville Score/Note1 Math Trainers Guild of Philippines Zamboanga City 2822 ICAE Troy 2753 Anglo-Chinese School (Independent) Singapore 2733 Sunway College-Canadian Int'l Mat. ProgrammeSelangor Darul Ehsan 2735 NUS H.S. of Mathematics and Science Singapore 2656 Chengdu Shude Senior H.S. Chengdu 2617 Qingdao Hongguang Foreign Language Coll. Qingdao 2608 Victoria Junior College Singapore 2589 British Columbia Academy Nanjing 2579 Hangzhou Foreign Language School Hangzhou 2579 Shenzhen Col. of Inter. Education Shenzhen Guangdong 25712 Cambridge Int'l Ctr. of Shanghai Normal UniversityShanghai 25613 H.S. Affiliated to Nanjing Normal Uni. Nanjing Jiangsu 25513 No.1 M. S. aff. to Central China Normal UniversityWuhan 25513 Shenzhen Foreign Language School Shenzhen 25516 Jinling H.S. Nanjiing 25416 Shanghai Guanghua College-Fudan Campus Shanghai 25418 Shenzhen M.S. Shenzhen 25319 Nanjing Foreign Language School Nanjing 25220 Shenyang No 2 School Shenyang 25021 Jinan Foreign Language School Jinan 24921 SIP Dulwich College United School Suzhou 24921 Shanghai Weiyu H.S Shanghai 24924 National Institute of Technology Beijing 24724 Ningbo Foreign Language School Ningbo 24726 Suzhou Foreign Language School Suzhou 24626 WHBC of Wuhan Foreign Language School Jianghan District Wuhan 24628 Nanhai Int'l Education Center Foshan 24529 Shenzhen Yaohua Experimental Sch. Shenzhen Guangdong 24229 Zhenhai H.S. Cambridge Int'l Center Ningbo 24231 Dalian No. 24 High School Dalian 24132 Beijing National Day School Beijing 24032 Beijing No. 2 Middle School (Intl Div) Beijing 24034 Ulink College of Suzhou Industrial Park Suzhou Jiansu 23935 Guangdong Country Garden Sch. Foshan City 23835 Guangzhou Tianhe M.S. Guangzhou 23835 U-Link College of Beijing Beijing 23835 Xi'an Gaoxin No.1 M.S. Xi'an Shaanxi 23839 CIE Centre at Shanghai Experimental SchoolShanghai 23739 Ningbo Xiaoshi H.S. Ningbo Zhejiang 23741 No 2 Middle School/Shanghai Jiao Tong UniversityShanghai 23542 Wuhan Maple Leaf Int'l School Wuhan Hubei 23342 Zhengzhou Foreign Language School Henan Zhengzhou 23344 Taylor's College - Sri Hartamas Campus Kuala Lumpur 23145 Canadian Trillium College-Jinhua Campus Jinhua - Zhejiang 23045 Hangzhou No 4 H. S Hangzhou 23045 Nanchang No 2 High School Nanchang 23045 Yantai Yew Wah Int'l Education School Yantai Shangdong 23049 Confucius International School Qingdao Shandong 22949 Taylor's College - Subang Jaya Campus Subang Jaya Selangor 22949 Yinghua-Bond Int'l School Tianjin 229

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiantsInternational

Name/Nom School/École Location/Endroit Grade/Niveau

Group I/Groupe I Scores/Notes 98 - 95BHATTACHARYA ANKAN ICAE Troy 9DU YUHENG Affiliated Middle School of Jilin U Changchun 12GU ZHENGYU Shanghai 12HOW SI YU Sunway College-Canadian Int'l Mat. Selangor Darul Ehsan 12WU FARRELL Math Trainers Guild of Philippines Zamboanga City 9

Group II/Groupe II Scores/Notes 94 - 89DAI XINLE Hubei No. 3 H.S. of WISCO Wuhan 12DULAY KYLE Math Trainers Guild of Philippines Zamboanga City 9GAO YUAN Anglo-Chinese School (Independent) Singapore 11GUO XUAN Ningbo Foreign Language School Ningbo 11KHONG YI KYE Sunway College-Canadian Int'l Mat. Selangor Darul Ehsan 12LIU CHANGSHUO Anglo-Chinese School (Independent) Singapore 12MOAYYED KIMIA Professor Hesabi H. S. Tehran 11SY ADRIAN Math Trainers Guild of Philippines Zamboanga City 9WANG FAN FRANCIS NUS H.S. of Mathematics and Science Singapore 12WU JIBANG Shanghai Qibao H. S. Minhang 11XUAN GANYUAN Shenyang No 2 School Shenyang 12YAO YOUREN NUS H.S. of Mathematics and Science Singapore 11ZHAO FREDDIE ICAE Troy 9ZHAO YUYAN British Columbia Academy Nanjing 11ZHOU FANGYI Suzhou Foreign Language School Suzhou 11ZOU CHEN No.1 M. S. aff. to Central China No Wuhan 12

Group III/Groupe III Scores/Notes 88 - 86CAI BOYUAN Beijing 12CAO HAI NAM Anglo-Chinese School (Independent) Singapore 10DANG JINGSONG Meicun Senior High School Wuxi 12FENG HUGANG SIP Dulwich College United School Suzhou 13GE DAOTONG Beijing 11GU HAOTIAN Chengdu Shude Senior H.S. Chengdu 10GU YIZHOU Shanghai 12HENG YUAN Beijing 13HONG MINGYUAN Beijing 11HU RUNZHI Chengdu Shude Senior H.S. Chengdu 11HUANG BINGYING Shanghai 12JIANG SHAN China - UK College Shenzhen 12JIAQING GU Beijing No 80 H.S. Beijing 10LI JIAYI Jinling H.S. Nanjiing 11LI XIANG H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 10LI ZONGLUN Qingdao Hongguang Foreign Language Qingdao 11LIM YU CHEN NUS H.S. of Mathematics and Science Singapore 11LIU TIANYANG Shenzhen Foreign Language School Shenzhen 11LUO ZHENGYI WHBC of Wuhan Foreign Language Scho Jianghan District Wu 11MOK MAURICE NUS H.S. of Mathematics and Science Singapore 11OBSNIUK ZACHARY ICAE Troy 10REN YUHUA NUS H.S. of Mathematics and Science Singapore 11SHETH MILAP Indian School Al Wadi Al Kabir Muscat 12SICHAO ZHU Hangzhou Foreign Language School Hangzhou 11UY HARVEY Math Trainers Guild of Philippines Zamboanga City 10

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiantsInternational

Group III/Groupe III Scores/Notes 88 - 86WANG HELI BeijingWANG ZIYAN Chengdu Shude Senior H.S. Chengdu 10WU ZIYU Victoria Junior College Singapore 11XU JIAHAO Qingdao Hongguang Foreign Language Qingdao 11YAN YIHUI Tianjin Teda Maple Leaf Int'l Schoo Teda 12YANG YIXIAO Qingdao Hongguang Foreign Language Qingdao 12YE YUXIAO Hangzhou Foreign Language School Hangzhou 11YIN ZHIHAO Cambridge Int'l Ctr. of Shanghai No Shanghai 12ZHANG LINGYI Shanghai 12ZHANG LINXUAN Shenzhen Col. of Inter. Education Shenzhen Guangdong 12ZHANG MENGCHUN Jinan Foreign Language School Jinan 11ZHOU HAN Cambridge Int'l Ctr. of Shanghai No Shanghai 12

Group IV/Groupe IV Scores/Notes 85 - 84AN LIN Shenzhen M.S. Shenzhen 10ANG CLYDE WESLEY Math Trainers Guild of Philippines Zamboanga City 9BEI YIJIE Victoria Junior College Singapore 11CAI YUANJING Jinling H.S. Nanjiing 12CAO YUWEN SIP Dulwich College United School Suzhou 10CHEN ANRAN Shenzhen Col. of Inter. Education Shenzhen Guangdong 12CHEN JIAJUN Nanhai Int'l Education Center Foshan 11CHEN NAIXIAN Victoria Junior College Singapore 11CHEN YIJUNG Jinling H.S. Nanjiing 11CHENG JOANNA The South Island School Aberdeen 11CHENG ZHUOYANG Hangzhou Foreign Language School Hangzhou 12DO THAO Le Hong Phong H. S for the Gifted Ho Chi Minh 12DU YAN Shenzhen Foreign Language School Shenzhen 11GUO JINGYUAN Hangzhou Foreign Language School Hangzhou 11HE YITIAN Shenzhen Foreign Language School Shenzhen 11HUANG RONG Hangzhou Foreign Language School Hangzhou 11KONG JUNHAN H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 11LEON NATHANIEL NUS H.S. of Mathematics and Science Singapore 12LI SHIYU Qingdao Hongguang Foreign Language Qingdao 11LI YUTONG Shenzhen M.S. Shenzhen 11LIAO MAIZI Shenzhen Baoan Middle School Shenzhen 12LIM WEI XIAN Sunway College-Canadian Int'l Mat. Selangor Darul Ehsan 12LIN YUNQIAN Chengdu Shude Senior H.S. Chengdu 11LIN ZHENYING Dalian No. 24 High School Dalian 11LING YUFENG British Columbia Academy Nanjing 11LIU SPENCER ICAE Troy 9LIU ZHIHAN Chengdu Shude Senior H.S. Chengdu 12LIU ZILIN Shenzhen Col. of Inter. Education Shenzhen Guangdong 12LONG YUXUAN National Institute of Technology Beijing 12LOU JIAQI Qingdao Hongguang Foreign Language Qingdao 11LU JUNJIE Qingdao Hongguang Foreign Language Qingdao 11LYU HUI Shanghai Guanghua College-Fudan Cam Shanghai 11NGO DANG HOANG Anglo-Chinese School (Independent) Singapore 9PAN YUEJIA Nanjing Foreign Language School Nanjing 11QIU XIAOYU Qingdao Hongguang Foreign Language Qingdao 11SHAHANE KUVAM ICAE Troy 9SHAN YI Shenzhen Col. of Inter. Education Shenzhen Guangdong 13SHENG YU Hangzhou Foreign Language School Hangzhou 11SHUKLA SHASHVAT NUS H.S. of Mathematics and Science Singapore 10SU SHENGYI Shanghai Weiyu H.S Shanghai 10

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiantsInternational

Group IV/Groupe IV Scores/Notes 85 - 84SUN JIAYI Nanjing Foreign Language School Nanjing 10SUN NANLIN Chengdu Shude Senior H.S. Chengdu 11SUN PEIYUAN Beijing 13SY ANDREW Math Trainers Guild of Philippines Zamboanga City 9WANG HAIRONG Qingdao Hongguang Foreign Language Qingdao 11WANG MINQI Beijing 11WANG XIAOYUN Victoria Junior College Singapore 11WANG ZIJIAN Beijing 12WU CHENGTING Shenzhen Foreign Language School Shenzhen 11WU SONGHAO Cambridge Int'l Ctr. of Shanghai No Shanghai 12XI JIACHENG Qingdao Hongguang Foreign Language Qingdao 10XIANG KAIDI Cambridge Int'l Ctr. of Shanghai No Shanghai 10XU CHENWEI Shanghai Guanghua College-Fudan Cam Shanghai 11XU XUECHENG Hangzhou Foreign Language School Hangzhou 11XU YIJING Beijing 12YANG FAN H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 10YANG JUE St George's College - Weybridge Addlestone 13ZHANG CHI Shanghai Weiyu H.S Shanghai 10ZHANG KANGNING Shanghai Guanghua College-Fudan Cam Shanghai 11ZHANG LIJIA Shanghai 10ZHOU YIBO Shanghai 11ZHOU YUANTE China - UK College Shenzhen 12ZHUANG ZHOU Shanghai 12

Group V/Groupe V Scores/Notes 83 - 80AGRAWAL DEVANSH Anglo-Chinese School (Independent) Singapore 11ANG ALBERT Taylor's College - Sri Hartamas Cam Kuala Lumpur 12ARYA VARMA ROHAN Anglo-Chinese School (Independent) Singapore 11BALETE NATHANAEL Math Trainers Guild of Philippines Zamboanga City 10CAO FEILUN Beijing 12CAO YUCHAO Ningbo Foreign Language School Ningbo 11CHEAH JUN YITT Sunway College-Canadian Int'l Mat. Selangor Darul Ehsan 12CHEN YUAN QI No.1 M. S. aff. to Central China No Wuhan 12CHEN YUCHAO Hangzhou Foreign Language School Hangzhou 11CHEN ZIHAN Chengdu Shude Senior H.S. Chengdu 12CHEN ZIHAN Shenzhen Foreign Language School Shenzhen 11CUI JIAMING British Columbia Academy Nanjing 11DAO MANH TRI Anglo-Chinese School (Independent) Singapore 12DENG KAI Beijing 13DENG SHUYUAN Shenzhen Col. of Inter. Education Shenzhen Guangdong 12DENG YING High School att'd to Northwest Norm Lanzhou 12DIAO SHUO Beijing 11DONG HUAIWEN National Institute of Technology Beijing 12FAN HAODI Cambridge Int'l Ctr. of Shanghai No Shanghai 11GE FANGZHOU Shanghai 12GONG ZHOUQI Shanghai Weiyu H.S Shanghai 11GUAN TINGYU Cambridge Int'l Ctr. of Shanghai No Shanghai 12GUO YANGMINGQI Zhengzhou Foreign Language School Henan Zhengzhou 11GUORUI LUI Beijing 12HAN YUCHEN Victoria Junior College Singapore 11HONG YIQING Hangzhou Foreign Language School Hangzhou 11HU JIAHUI Qingdao Hongguang Foreign Language Qingdao 11HUANG KOUTIAN H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 11HUANG YANCONG H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 11

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiantsInternational

Group V/Groupe V Scores/Notes 83 - 80JIN RUIYANG Cambridge Int'l Ctr. of Shanghai No Shanghai 12LI BOJUN Guangzhou No 47 Middle School Guangzhou 11LI JIANGXUE Kunming No. 1 H. S. Int'l Division Kunming 12LI MINGQUAN Qingdao Hongguang Foreign Language Qingdao 11LI XIYAO Shenzhen Col. of Inter. Education Shenzhen Guangdong 12LI YANG Hangzhou Foreign Language School Hangzhou 11LI ZHAOMIN AP Curriculum Center of Changjun H. Changsha 11LIANG JUNHAO Guangdong Country Garden Sch. Foshan City 11LIN CHENLING No 2 Middle School/Shanghai Jiao To Shanghai 11LIN HUIYANG Chengdu Shude Senior H.S. Chengdu 11LIN LUOZHIYU Anglo-Chinese School (Independent) Singapore 9LIU CUNHAO Chengdu Shude Senior H.S. Chengdu 10LIU GINNY Confucius International School Qing Shandong 12LIU JIACHANG The MacDuffie School Granby 12LIU LIYING Shenzhen Yaohua Experimental Sch. Shenzhen Guangdong 11LIU SHAOYU Shenzhen Foreign Language School Shenzhen 11LIU SHIQI NUS H.S. of Mathematics and Science Singapore 10LIU YUYANG Victoria Junior College Singapore 11LIU ZELONG H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 11LIU ZICHANG Ulink College of Suzhou Industrial Suzhou Jiansu 12LU KAIMING Qingdao Hongguang Foreign Language Qingdao 11LUO JIAJIE Xi'an Gaoxin No.1 M.S. Xi'an Shaanxi 11MA JINGRU Zhenhai H.S. Cambridge Int'l Center Ningbo 11MANG ZHIFU Qingdao Hongguang Foreign Language Qingdao 12MEHRA VASUDEV Indus P. S. Mohali 13MIAO BINXU Hangzhou Foreign Language School Hangzhou 11MU SIRU Shenyang No 2 School Shenyang 11NGUYEN HOAI NAM Anglo-Chinese School (Independent) Singapore 9NING YUE Jinling H.S. Nanjiing 11PAN YANCHEN Cambridge Int'l Ctr. of Shanghai No Shanghai 12QI YUNLI Shenzhen Col. of Inter. Education Shenzhen Guangdong 12QIN YIHAN Beijing No. 2 Middle School (Intl D Beijing 10QIU LUYU Zhenhai H.S. Cambridge Int'l Center Ningbo 11QIU SIXIAN Hangzhou Foreign Language School Hangzhou 11SHAO WANYAN Wuxi Big Bridge Academy Wuxi Jiangsu 11SHAO YIYUN CIE Centre at Shanghai Experimental Shanghai 12SHENG HANZHE Cambridge Int'l Center of Hangzhou Hangzhou 11SHI JINCE Shenzhen Yaohua Experimental Sch. Shenzhen Guangdong 11SONG YIYOU Beijing 9STA MARIA JAREN NUS H.S. of Mathematics and Science Singapore 11SUN SIYI Shanghai 12TALASILA LOHIT Narayana Junior College Hyderabad Andhra Pra 12TANG YANFEI Cambridge Int'l Ctr. of Shanghai No Shanghai 12TONG LING Beijing 13WANG HUANCHI Shenyang No 2 School Shenyang 12WANG JIAQI Hangzhou Foreign Language School Hangzhou 11WANG JINGYI Chengdu Shude Senior H.S. Chengdu 11WANG MINGXIA Shenzhen Col. of Inter. Education Shenzhen Guangdong 12WANG RUXUAN Beijing No. 2 Middle School (Intl D Beijing 10WANG YAQI WHBC of Wuhan Foreign Language Scho Jianghan District Wu 11WANG YICHUN Shenzhen M.S. Shenzhen 11WANG YU Chengdu Shude Senior H.S. Chengdu 10WANG YUDIAN Shenzhen Yaohua Experimental Sch. Shenzhen Guangdong 11WEI JUEQI Chengdu Shude Senior H.S. Chengdu 10WENG JIACHENG Canadian Trillium College-Jinhua Ca Jinhua - Zhejiang 12

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiantsInternational

Group V/Groupe V Scores/Notes 83 - 80WU JIAJUN Qingdao Hongguang Foreign Language Qingdao 11WU JIAQI Anglo-Chinese School (Independent) Singapore 10WU KANGXIN Ningbo Xiaoshi H.S. Ningbo Zhejiang 11WU WANYI Jinling H.S. Nanjiing 11WU YIFAN H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 11WU YUNTAI Cambridge Int'l Ctr. of Shanghai No Shanghai 12WU YUTONG Jinling H.S. Nanjiing 12XIA YUNJUN Chengdu Shude Senior H.S. Chengdu 11XIANG YUNXIAO Chengdu Shude Senior H.S. Chengdu 11XIE CHONGSHAN Guangzhou Tianhe M.S. Guangzhou 11XU CHENYANG Shenzhen M.S. Shenzhen 11XU RONGZHEN Cambridge Int'l Ctr. of Shanghai No Shanghai 12XU SHUNING Jinan Foreign Language School Jinan 10XU XU Beijing 11XU YIFEI Beijing 12XUAN WENHAO Hangzhou Foreign Language School Hangzhou 11YAN SHENGYU Jinling H.S. Nanjiing 11YAN YUHAN Shenzhen Col. of Inter. Education Shenzhen Guangdong 12YANG JIABAO Nanjing Foreign Language School Nanjing 10YANG QIFAN British Columbia Academy Nanjing 11YANG RUO GU Nanhai Int'l Education Center Foshan 11YANG ZIYUE Shenzhen Col. of Inter. Education Shenzhen Guangdong 12YAO QINGNING Jinan Foreign Language School Jinan 11YEONG WERN YEEN Taylor's College - Subang Jaya Camp Subang Jaya Selangor 12YOU CHEN Jinling H.S. Nanjiing 12YU CHANGHUA Beijing National Day School Beijing 10YU FUWEI Cambridge Int'l Ctr. of Shanghai No Shanghai 11YU SHIQI Shanghai 12YU ZHIHAO Shanghai World Foreign Language M.S Shanghai 11YUAN RUOFENG Guangdong Country Garden Sch. Foshan City 11ZENG FANWEI Shenzhen Col. of Inter. Education Shenzhen Guangdong 13ZHANG BOYANG Jinling H.S. Nanjiing 11ZHANG HAN U-Link College of Beijing Beijing 12ZHANG HAOTING Shanghai Guanghua College-Fudan Cam Shanghai 11ZHANG JING Shanghai Pinghe School Shanghai 12ZHANG MEIRU U-Link College of Beijing Beijing 12ZHANG MINGHAO Beijing No. 5 High School Beijing 12ZHANG NINGXUAN Beijing 12ZHANG XIEYU CIE Centre at Shanghai Experimental Shanghai 12ZHANG XINYU Beijing 11ZHANG XUERONG Nanjing Foreign Language School Nanjing 10ZHANG YINGHE Shenzhen Col. of Inter. Education Shenzhen Guangdong 12ZHANG YIWEN SIP Dulwich College United School Suzhou 13ZHANG YUEYANG Wuxi Big Bridge Academy Wuxi Jiangsu 12ZHAO CHENYU Shanghai 10ZHAO LINGXI DaLian Zhongshan Stanford Lang. Tra DaLian 11ZHAO ZIHAN Beijing 12ZHOU RUINAN Cambridge Int'l Ctr. of Shanghai No Shanghai 12ZHOU SHICHONG Shanghai 11ZHOU YIRUI H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 11ZHOU YUMENG Jinan Foreign Language School Jinan 10ZHU HENG Beijing 13ZHU HONGJIAN Wuhan Maple Leaf Int'l School Wuhan Hubei 11ZHU XIAOWEI Chengdu Shude Senior H.S. Chengdu 10ZHU XUAN Beijing National Day School Beijing 10

2014Euclid Contest/Concours Euclide

Student Honour Roll/Palmarès d'étudiantsInternational

Group V/Groupe V Scores/Notes 83 - 80ZHUANG ZHAO ZHONG H.S. Affiliated to Nanjing Normal U Nanjing Jiangsu 11

Unofficial Results Resultats non-officiels

UNOFFICIAL STUDENTS AT SCHOOLS IN CANADA /ELEVES NON-OFFICIEL DANS LES ECOLES AU CANADA

SCORES / NOTES 100 - 80

Name/Nom School/Ecole Location/EndroitQIN AN Waterloo C.I. Waterloo, ONCHANG CHEN Stephen Leacock C.I. Scarborough, ONLYNN CUI Queen Elizabeth H.S. Calgary, ABJOSEPH DIAO Unionville H.S. Markham, ONGUIHONG FAN Earl Haig S.S. North York, ONZIQI GAO Brooklyn College Toronto, ONRAN GONG Harry Ainlay H.S. Edmonton, ABXIAOYI GONG Markville S.S. Markham, ONYILING HUANG Royal Crown Academic School North York, ONXINRUI JIA Vincent Massey S.S. Windsor, ONSHENGZHUO JIANG Waterloo C.I. Waterloo, ONALICE LI Strathcona H.S. Edmonton, ABDAYII LI London Int’l Academy London, ONJIAGEN LI The Westside School Vancouver, BCJINGXUAN LI Bronte College Of Canada Mississauga, ONMIKE LI Marianopolis College Westmount, QCXIANGDONG LI Bond Academy/Bond Int’l College Scarborough, ONCHENGYANGG LIN London Int’l Academy London, ONZIRUI LIUUI Imperial College Of Toronto Etobicoke, ONYIWEI LUO Fredericton H.S. Fredericton, NBYIKAI MIN Bronte College Of Canada Mississauga, ONYU PAN Columbia Int’l College Hamilton, ONZIXIAO QIANG Stouffville D.H.S. Stouffville, ONHAOZHE SHENG Markham, ONYUANLONG SHU London Int’l Academy London, ONSCOTT SONG Burnaby Mountain S.S. Burnaby, BCBOHONG SUN Royal Elite Int’l Academy St. Catherines, ONLANFENG SUN Rothesay Netherwood School Rothesay, NBLIANGSU SUN Sir Winston Churchill S.S. St Catharines, ONLINYIN SUN Richmond Hill, ONDAN URSU Vincent Massey S.S. Windsor, ONAMY WANG Albert Campbell C.I. Scarborough, ONHAO WANG Columbia Int’l College Hamilton, ONMENGYAN WANG Bishop Allen Academy Etobicoke, ONJINGTIAN WENG Wisdom Academy Toronto, ONDAVID XIAID London Dist. Christian S.S. London, ONRUIMING XIONG Queen Elizabeth H.S. Calgary, ABJINFEI XU Pope John Paul II S.S. Scarborough, ONYUWEI XU Vincent Massey S.S. Windsor, ONYI YANG Ontario International College Toronto, ONZIWEI ZHAO Southpointe Academy Delta, BCXINYI ZHOU Dr. J.M. Denison S.S. Newmarket, ONYIWEI ZHU Bronte College Of Canada Mississauga, ON