2013 - CEMC - University of Waterloo

The CENTRE for EDUCATION
in MATHEMATICS and COMPUTING
Le CENTRE d’ÉDUCATION
en MATHÉMATIQUES et en INFORMATIQUE
www.cemc.uwaterloo.ca
2013
Results
Euclid Contest
2013
Résultats
Concours Euclide
c
2013
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’éducation en mathématiques et informatique
Ed Anderson
Jeff Anderson
Terry Bae
Steve Brown
Ersal Cahit
Alison Cornthwaite
Serge D’Alessio
Frank DeMaio
Jennifer Doucet
Fiona Dunbar
Mike Eden
Barry Ferguson
Barb Forrest
Judy Fox
Steve Furino
John Galbraith
Sandy Graham
Angie Hildebrand
Judith Koeller
Joanne Kursikowski
Bev Marshman
Dean Murray
Jen Nissen
J.P. Pretti
Linda Schmidt
Kim Schnarr
Jim Schurter
Carolyn Sedore
Ian VanderBurgh
Troy Vasiga
Problems Committee / Comité des problèmes
Fiona Dunbar (Chair / présidente), University of Waterloo, Waterloo, ON
Kathir Brabaharan, Sir John A. Macdonald C.I., Scarborough, ON
Adam Brown, University of Toronto Schools, Toronto, ON
Steve Brown, University of Waterloo, Waterloo, ON
Serge D’Alessio (Acting Chair), University of Waterloo, Waterloo, ON
Charlotte Danard, Toronto, ON
Garry Kiziak, Burlington, ON
Darren Luoma, Bear Creek S.S., Barrie, ON
Alex Pintilie, Crescent School, Toronto, ON
David Pritchard, Princeton University, Princeton, NJ
Ross Willard, University of Waterloo, Waterloo, ON
2
Comments on the Paper
Commentaires sur les épreuves
Overall Comments
Congratulations to all of the participants in the 2013 Euclid Contest. The average score in 2013 was 48.8. We were
very pleased that a large number of students achieved some success on the early parts of the last few problems on
the paper. At the same time, the later parts of these problems managed to challenge the top students even more
than last year’s problems. Special congratulations go to the 25 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 for
students to both learn to solve mathematics problems and learn to write good solutions to these problems. Many
students do a reasonable job of writing solutions, while others still include no explanation whatsoever.
Special thanks go to the Euclid Problems Committee that annually sets the Contest problems and manages
to achieve a 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 the
way, thank you for your continuing participation and support. We hope that you enjoyed the Contest and relished
the challenges that it provided. We hope that mathematics contests continue to feed your love for and interest in
mathematics.
Specific Comments
1. Average: 9.1
This question was well done, with very few arithmetic errors. Common errors included an answer such as
−113 in part (a) that does not fit with the conditions given in the question.
2. Average: 8.8
Parts (a) and (c) were well done. Part (b) was fairly well done. A common error in part (b) included taking
the reciprocal of both sides of the positive quantities and not changing the direction of the inequalities. Some
students used trigonometry for part (c) and as a result obtained an approximate answer.
3. Average: 7.1
Part (a) was fairly well done. A common mistake was giving an answer for the number of terms that were
even, rather than the number of terms that were odd. Some students gave a correct answer for only the
first 99 terms of the Fibonacci sequence. Part (b) was well done. Students presented a variety of algebraic
solutions that involving formulae for sequences or for linear functions.
4. Average: 6.3
Part (a) was fairly well done. A number of students did not include the five single digit positive integers
in the total. Part (b) was well done. Students demonstrated knowledge of solving a quadratic equation
algebraically by factoring. Many students did not finish their solution by writing a concluding statement
with the ordered pairs.
5. Average: 6.1
Part (a) was fairly well done. Most students created some kind of chart to enumerate the possible combinations of rolls. In part (b), most students were able to correctly determined the coordinates of the vertex
V and the coordinates of the points of intersection between the parabola and the line. Many students then
were not sure how to calculate squares of the distances between the various points.
6. Average: 4.4
In part (a), many students correctly determined the length of the diameter of the plate. Most who did this
correctly then also correctly determined the areas required, but some misused the formula for the area of
the circle or miscalculated the radius of the plate or the area of the slice of pizza. While marking part (b),
3
Comments on the Paper
Commentaires sur les épreuves
our markers became experts at discerning the many different forms of the correct answer! Lots of students
started by labelling one side length of one triangle with a variable and then used the given information to
calculate a number side lengths as possible in terms of this variable and θ. The keys to finishing this problem
was persistence, and eventually eliminating the variable introduced at the beginning.
7. Average: 3.2
In part (a), some students expressed tan x in terms of cos x and sin x, but proceeded no further. Others were
able to rearrange to obtain an equation like 1 − sin x = 3 cos x. Many squared both sides of this equation to
find two possible numerical values for sin x, but did not double check both values in the original equation.
In part (b), students had to determine the equation for the inverse function of an arbitrary linear function.
Many did this successfully and then substituted into the given equation to try to solve for a and b. Others
noticed that since f (x) − g(x) equals a constant, then the given line and its inverse function must be parallel,
and so must have slope 1 or −1.
8. Average: 2.1
In part (a), quite a few students make some crucial observations about the problem (for example, a3 < 2013
and so a < 13, a must be odd, etc.). However, many students also missed the “boundary” case of (a, b) =
(1, 1006), forgetting that 1 is also a divisor of 2013. Many students found at least one of the three desired
solutions. Part (b) was a very complicated problem involving exponents and logarithms. Many students
did not apply logarithm rules correctly or invented incorrect logarithm rules. The students who solved this
problem correctly noticed that grouping similar quantities and finding a pattern are crucial to the solution.
9. Average: 1.2
Part (a) was generally well done by many students. There were many solutions in the form of text without
any mathematical rigour. These often included statements along the lines of “if I move this square up a bit,
this trapezoid’s area goes down a bit”. Mathematics does require explanation, but it also requires equations
and precision in the explanation. In part (b), a construction was generally needed as a first step. There
are two main constructions that yield the correct proof: congruent triangles may be placed outside or inside
the inner square. Many students did not sufficiently prove congruence of these triangles – saying they are
“obviously” congruent is not a strong enough argument. This was a very difficult problem that students
either could not approach, or would make incorrect or unhelpful constructions, or would leave out crucial
details in the proof.
10. Average: 0.3
In parts (a) and (b), students generally tried to compute the desired quantities by listing all possible partitions. Quite often, students were off-by-one in part (a), or off my more than one in part (b). In order to
develop a correct solution, many students correctly noticed that P (4 × 5m ) = P (9 × 2m ), since when prime
factorizations have the same structure, the number of partitions will be the same.
Please visit our website at www.cemc.uwaterloo.ca to download the 2013 Euclid Contest, plus full
solutions.
4
Comments on the Paper
Commentaires sur les épreuves
Commentaires Généraux
Félicitations à tous les participants du Concours Euclide 2013. La note moyenne était 48,7. Nous avons eu le
plaisir de constater que beaucoup d’élèves ont eu du succès dans les premières parties des dernières questions. De
plus, les dernières parties de ces problèmes présentaient un plus grand défi pour les meilleurs étudiants que l’année
dernière. Des félicitations spéciales vont aux vingt-cinq concurrents officiaux qui ont atteint une note supèrieure
ou égale à 90 sur 100.
Le Centre d’éducation en mathématiques et en informatique croit fortement qu’il est très important pour les
étudiant(e)s d’apprendre à résoudre des problèmes de mathématiques ainsi que d’apprendre à écrire de bonnes
solutions à ces problèmes. Plusieurs étudiants développent leurs solutions résonablement bien, tandis que d’autres
n’inclus aucune explication avec leurs réponses.
Un grand merci va au comité des problèmes du concours Euclide qui rassemble annuellement les problèmes du
concours et réussit à accomplir la tâche difficile de concevoir des problèmes accessibles et stimulants sur le même
examen.
Un grand merci aux étudiant(e)s qui ont écrit, aux parents qui les ont soutenus et aux enseignant(e)s qui les
ont aidés pour votre participation continue et votre soutien. Nous espérons que vous avez apprécié le concours et
savouré les défis qu’il a présentés. Nous espérons que les concours de mathématiques continuent à nourrir votre
amour et intérêt pour les mathématiques.
Remarques particulières
1. Moyenne: 9,1
Cette question a été bien réussie. On a constaté peu d’erreurs d’arithmétique. Les erreurs les plus communes
étaient des réponses telles que −113, dans la partie (a), qui ne répondent pas aux conditions de l’énoncé.
2. Moyenne: 8,8
Les parties (a) et (c) ont été bien réussies. La partie (b) a été assez bien réussie. Dans la partie (b), bon
nombre d’élèves ont travaillé avec l’inverse des nombres dans les inéquations sans renverser le sens des signes
d’inégalité. Dans la partie (c), certains élèves ont fait appel à la trigonométrie, ce qui leur a donné une
réponse approximative.
3. Moyenne: 7,1
La partie (a) a été assez bien réussie. Bon nombre d’élèves ont donné le nombre de termes pairs plutôt que
le nombre de termes impairs. Certains ont donné le nombre de termes impairs parmi les 99 premiers termes
de la suite de Fibonacci. La partie (b) a été bien réussie. Les élèves ont utilisé une variété de formules ou
d’équations se rapportant à des suites arithmétiques ou à des fonctions affines.
4. Moyenne: 6,3
La partie (a) a été assez bien réussie. Certains élèves ont omis les nombres d’un chiffre, soit 1, 3, 5, 7 et
9, en comptant le nombre d’entiers. La partie (b) a été bien réussie. Les élèves semblaient avoir maı̂trisé
comment résoudre des équations du second degré par factorisation. Bon nombre d’élèves n’ont pas terminé
leur solution au moyen d’un énoncé final qui donne les couples.
5. Moyenne: 6,1
La partie (a) a été assez bien réussie. La plupart des élèves ont construit un tableau pour énumérer les
résultats possibles des deux dés . Dans la partie (b), la plupart des élèves ont réussi à déterminer les
coordonnées du sommet S, ainsi que les coordonnées des points d’intersection de la parabole et de la droite.
Par la suite, bon nombre d’élèves ne semblaient pas savoir comment déterminer les carrés des distances entre
les points.
5
Comments on the Paper
Commentaires sur les épreuves
6. Moyenne: 4,4
Dans la partie (a), bon nombre d’élèves ont réussi à détermier le diamètre du plat. Parmi ceux-ci, la
plupart ont ensuite réussi à déterminer les aires en question. Les autres ont mal utilisé la formule pour
l’aire d’un disque, ou mal calculé le rayon du plat ou l’aire du morceau de pizza. En notant la partie (b),
nos correcteurs ont développé une expertise à reconnaı̂tre les diverses formes possibles de la bonne réponse!
Beaucoup d’élèves ont utilisé une variable pour représenter la longueur d’un côté d’un triangle pour ensuite
représenter les autres longueurs de côtés en fonction de cette variable et de θ. Pour réussir, il fallait de la
persévérence pour éventuellement éliminer cette variable.
7. Moyenne: 3,2
Dans la partie (a), certains élèves ont exprimé tan x en fonction de cos x et de sin x, sans continuer. D’autres
ont continué pour obtenir une équation comme 1 − sin x = 3 cos x. Bon nombre d’élèves ont élevé chaque
membre de cette équation au carré pour obtenir deux valeurs numériques possibles de sin x, sans vérifier si
ces valeurs satisfaisaient à l’équation donnée dans l’énoncé. Dans la partie (b), les élèves devaient déterminer
une équation pour la fonction réciproque d’une fonction affine générale. Bon nombre d’élèves ont réussi à le
faire. Ils ont ensuite reporté dans l’équation donnée pour déterminer les valeurs de a et de b. D’autres ont
remarqué que puisque f (x) − g(x) est une constante, alors la droite représentative de la fonction donnée et
celle de la fonction réciproque doivent être parallèles et qu’elles doivent avoir une pente de 1 ou de −1.
8. Moyenne: 2,1
Dans la partie (a), bon nombre d’élèves ont fait des remarques pertinentes au sujet du problème (par
exemple, a3 < 2013 et donc a < 13, a doit être impair, etc.). Bon nombre d’élèves ont oublié le couple
(a, b) = (1, 1006), oubliant que 1 est un diviseur de 2013. Beaucoup d’élèves ont réussi à déterminer au
moins une des trois réponses. Le problème de la partie (b) était particulièrement difficile. Il traitait de
logarithmes et d’exposants. Beaucoup d’élèves ont mal utilisé les lois de logarithmes ou ont inventé de
fausses lois. Les élèves qui ont réussi à résoudre ce problème ont remarqué qu’il était utile de regrouper des
termes semblables et de chercher une régularité.
9. Moyenne: 1,2
Bon nombre d’élèves ont réussi la partie (a). Bon nombre de solutions sous forme d’un texte manquaient
de précision. Par exemple, on a affirmé que « si on fait glisser ce carré vers le haut, l’aire de ce trapèze
diminue un peu ». En mathématiques, il faut des explications, mais il faut aussi de la précision que l’on
présente parfois au moyen d’équations. Dans la partie (b), il fallait commencer par une construction. Deux
constructions pouvaient mener à une solution, soit la construction de triangles isométriques à l’intérieur
ou à l’extérieur du carré intérieur. Beaucoup d’élèves n’ont pas suffisamment démontré que ces triangles
étaient isométriques en affirmant, par exemple, qu’il était évident que les triangles étaient isométriques. Ce
problème était particulièrement difficile. De façon générale, les élèves ne savaient pas comment entreprendre
une solution, ou ils ajoutaient des constructions incorrectes ou inutiles, ou encore ils omettaient des éléments
importants de la preuve.
10. Moyenne: 0,3
Dans les parties (a) et (b), les élèves ont tenté de répondre en indiquant toutes les partitions possibles. Pour
bon nombre d’élèves, il manquait une partition dans la partie (a). Dans la partie (b), il en manquait souvent
plusieurs. Pour en arriver à une solution, bon nombre d’élèves ont remarqué que P (4 × 5m ) = P (9 × 2m ),
puisque deux factorisations premières qui ont la même structure auront le même nombre de partitions.
Veuillez visiter notre site Web à www.cemc.uwaterloo.ca pour télécharger le Concours Euclide 2013,
avec solutions complètes.
6
Champions – 2013
Champions – 2013
STUDENTS / ÉLÈVES
Students are listed in alphabetical order. / Les élèves sont nommés en ordre alphabetique.
Plaques
Michael Chow
Alexandru Gatea
Ziqing Li
Michael Pang
Daniel Spivak
Albert Campbell C.I.
Waterloo C.I.
Dr. Norman Bethune C.I.
Fort Richmond C.I.
Scarborough, ON
Waterloo, ON
Scarborough, ON
Winnipeg, MB
Richmond Hill, ON
Each plaque winner receives a $500 cash prize from the Centre for Education in Mathematics
and Computing. /
Chaque élève qui reçois une plaque recevra aussi un prix de 500 $ du Centre d’éducation en
mathématiques et en informatique.
Book Prizes/
Sina Abbasi
Chen Chang
Yurong Zhu
Richard Du
Yi Liu
Antonio Molina Lovett
Edward Tsai
Henry Wu
Suizhi Wu
Xinyuan Yu
Qiyi Zhao
Vincent Massey S.S.
Sentinel S.S.
Marc Garneau C.I.
York Mills C.I.
École Ste. Anne
Vincent Massey S.S.
University of Toronto Schools
Lester Pearson College
Mentor College
Havergal College
TEAMS / ÉQUIPES
Champion/Première: Vincent Massey S.S.
Second/Deuxième:
Burnaby North S.S.
Third/Troisième:
Waterloo C.I.
Fourth/Quatrième:
University of Toronto Schools
Fifth/Cinquième:
Fort Richmond C.I.
Windsor, ON
Burnaby, BC
Waterloo, ON
Toronto, ON
Winnipeg, MB
7
Toronto, ON
Windsor, ON
West Vancouver, BC
North York, ON
North York, ON
Fredericton, NB
Windsor, ON
Toronto, ON
Victoria, BC
Mississauga, ON
North York, ON
Enrollment
Inscription
Number of students registered by province /
Nombre d’étudiants inscrit par province
AB
BC
MB
NB
NL
NS
ON
PE
QC
SK
YT
International
Total
Enrollment/
Inscription
530
2314
255
142
127
151
9042
38
256
129
5
4285
17274
There were 1393 schools enrolled. / 1393 écoles étaient inscrites.
8
Student Rankings
Score/
Note
100
99
98
97
96
95
94
93
92
91
90
89
88
87
86
85
84
83
82
81
80
79
78
77
76
75
Rank/
Position
1
2
3
4
6
9
17
26
38
49
64
77
98
122
140
159
191
219
267
306
366
439
Classements des élèves
Score/
Note
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
54
53
52
51
50
Rank/
Position
500
588
673
767
871
983
1084
1208
1329
1471
1608
1760
1927
2098
2270
2430
2627
2816
2990
3208
3411
3636
3875
4086
4308
Score/
Note
49
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
Rank/
Position
4517
4733
4958
5160
5394
5602
5813
6005
6201
6388
6610
6781
6964
7142
7312
7476
7616
7754
7911
8038
8156
8271
8374
8469
8561
Score/
Note
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Rank/
Position
8651
8736
8816
8891
8960
9021
9066
9094
9122
9151
9174
9204
9229
9242
9257
9263
9276
9284
9290
9296
9301
9303
9306
9309
9311
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 points
This chart pertains to official contestants only. / Le graphique s’appliquent qu’aux concurrents officiels.
Number of competitors: 9311
Average Mark: 48.74
Score/
Note
81-100
76-80
71-75
66-70
61-65
56-60
51-55
46-50
41-45
36-40
31-35
26-30
21-25
0-20
Percentage of Students/
Pourcentage des ètudiants
2.0
2.7
4.6
6.4
8.6
10.1
11.8
11.7
10.7
9.9
7.8
5.6
4.3
3.8
Cumulative Percentage/
Pourcentage accumulé
2.0
4.7
9.3
15.7
24.3
34.4
46.2
57.9
68.6
78.5
86.3
91.9
96.2
100.0
9
2013
Euclid Contest/Concours Euclide
Team Honour Roll/Palmarès d'équipes
Rank/Rang School/École
City/Ville
Score/Note
1
2
3
4
5
6
7
8
9
10
10
12
13
13
15
15
17
17
17
20
21
21
21
24
24
26
26
26
29
29
29
32
33
33
35
36
36
36
39
39
41
41
41
44
44
44
44
48
48
48
Windsor
Burnaby
Waterloo
Toronto
Winnipeg
North York
North York
Vancouver
Markham
North York
North York
Scarborough
Ottawa
Westmount
North York
West Vancouver
Gloucester
Vancouver
Toronto
Scarborough
Scarborough
Waterloo
Delta
Richmond Hill
Calgary
Scarborough
West Vancouver
Scarborough
Oakville
Nepean
Vancouver
Mississauga
North York
Scarborough
Markham
Vancouver
Vancouver
Thornhill
Hamilton
Mississauga
Mississauga
Toronto
Mississauga
Surrey
London
Coquitlam
Waterloo
North York
London
Markham
273
270
269
268
264
263
262
261
260
259
259
258
257
257
255
255
254
254
254
253
250
250
250
249
249
247
247
247
246
246
246
245
244
244
243
242
242
242
241
241
240
240
240
239
239
239
239
238
238
238
Vincent Massey S.S.
Burnaby North S.S.
Waterloo C.I.
University of Toronto Schools
Fort Richmond C.I.
Don Mills C.I.
Marc Garneau C.I.
St. George's School
Pierre Elliott Trudeau H.S.
Victoria Park C.I.
York Mills C.I.
Albert Campbell C.I.
Lisgar C.I.
Marianopolis College
Earl Haig S.S.
West Vancouver S.S.
Colonel By S.S.
University Hill S.S.
Upper Can Col-Upper School
Bond Academy/Bond Int'l College
New Oriental Int'l College
Sir John A. Macdonald S.S.
Southpointe Academy
Richmond Hill H.S.
Western Canada H.S.
Dr. Norman Bethune C.I.
Sentinel S.S.
Sir John A. Macdonald C.I.
Abbey Park H.S.
Bell H.S.
Magee S.S.
Mentor College
William Lyon Mackenzie C.I.
Woburn C.I
Markville S.S.
Lord Byng S.S.
Sir Winston Churchill S.S.
Thornhill S.S.
Columbia Int'l College
Glenforest S.S.
John Fraser S.S.
Northern S.S.
The Woodlands Sec. School
Fraser Heights S.S.
London Central S.S.
Pinetree S.S.
St. David C.S.S.
A.Y. Jackson S.S.
H.B. Beal S.S.
Unionville H.S.
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Name/Nom
School/École
Group I/Groupe I
Scores/Notes 100 - 93
CHOW
GATEA
LI
PANG
SPIVAK
MICHAEL
ALEXANDRU
ZIQING
MICHAEL
DANIEL
Group II/Groupe II
ABBASI
CHANG
DU
FANG
GOTESMAN
LEE
LIM
LIM
LIU
MOLINA LOVETT
SHAO
TSAI
WANG
WU
WU
YU
ZHANG
ZHAO
ZHU
ZHU
Grade/Niveau
Scarborough
Waterloo
Scarborough
Winnipeg
Richmond Hill
11
12
12
10
12
Toronto
Windsor
North York
Toronto
North York
Waterloo
Burnaby
Burnaby
North York
Fredericton
Burnaby
Windsor
Windsor
Toronto
Victoria
Mississauga
Windsor
North York
Ottawa
West Vancouver
10
11
10
10
12
12
9
12
12
11
11
12
11
11
12
11
12
10
12
12
Windsor
Windsor
Vancouver
North York
Burnaby
Mississauga
Mississauga
West Vancouver
Waterloo
Winnipeg
North York
Vancouver
Aurora
Thornhill
Vancouver
Scarborough
Vancouver
Delta
Markham
Markham
Windsor
11
11
11
11
10
12
10
12
12
11
12
12
10
12
12
12
11
12
11
12
12
Scores/Notes 92 - 90
SINA
CHEN
RICHARD
YULIANG
RYAN
ALEX
JEANNE
URSULAANNE
YI
ANTONIO
YUXUAN
EDWARD
CHENYU
HENRY
SUIZHI
XINYUAN
WEIWEIBING
QIYI
MICHAEL
YURONG
Group III/Groupe III
CAO
CHEN
CHOI
DONG
FAN
FEI
FENG
GENG
HE
HU
JIANG
KANG
KIM
KORHANI
LAI
LI
LI
LIU
LU
MA
PALMER
Albert Campbell C.I.
Waterloo C.I.
Dr. Norman Bethune C.I.
Fort Richmond C.I.
Location/Endroit
Vincent Massey S.S.
Marc Garneau C.I.
University of Toronto Schools
William Lyon Mackenzie C.I.
Waterloo C.I.
Burnaby North S.S.
Burnaby North S.S.
York Mills C.I.
Ste. Anne
Burnaby North S.S.
Vincent Massey S.S.
Vincent Massey S.S.
University of Toronto Schools
Lester Pearson College
Mentor College
Vincent Massey S.S.
Havergal College
Lisgar C.I.
Sentinel S.S.
Scores/Notes 89 - 87
VICTORIA
LETIAN
YOUNG SUK
JIAQI
ZIYING K
YIGE
TONGLE
QINYI
JIARUI
DANCHENG
KELVIN
JU HEE
DONG HWAN
NAVID
LEO
RUI
ZIYAN
MENGDI
YAO
RUISI
LIAM
Vincent Massey S.S.
Vincent Massey S.S.
St. George's School
Don Mills C.I.
Moscrop S.S.
Clarkson S.S.
The Woodlands Sec. School
West Vancouver S.S.
Sir John A. Macdonald S.S.
Fort Richmond C.I.
Don Mills C.I.
Kitsilano S.S. (English)
St. Andrew's College
St. Elizabeth C.H.S.
Sir Winston Churchill S.S.
New Oriental Int'l College
St. George's School
Southpointe Academy
Pierre Elliott Trudeau H.S.
Markville S.S.
Walkerville C.I.
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group III/Groupe III
SAN MARTIN
SEYED GHASEMIP
SHEN
SHENG
SUO
TANG
TU
WU
YANG
YIN
ZHAN
ZHANG
ZHAO
ZHOU
ZHOU
ZHU
ZHU
Scores/Notes 89 - 87
LUISA
SEYED KAMY
ZIBO
JIA
SHUN DA
JOHNNY
JAMES
FEI
JING BO
XIAOSONG
REENA
ZHANBIN
XINGHAO
CHENGYI
YEXINHAO
FRANK
TANGNING
Group IV/Groupe IV
AHMED
AHN
BELFER
CHACHCHA
CHOW
CUI
DIAO
DING
DUAN
FAN
GE
GU
GUO
HU
HUANG
HUANG
HUANG
HUI
JIANG
JIN
KIM
KIM
KONG
LEE
LIN
LIU
LU
LU
LYNN
PAN
PAN
PARK
RICK
RUNNAN
SAVADJIEV
Colonel By S.S.
Earl Haig S.S.
West Vancouver S.S.
Bond Academy/Bond Int'l Colleg
Victoria Park C.I.
Markham District H.S.
York Mills C.I.
Upper Can Col-Upper School
John Fraser S.S.
Magee S.S.
University of Toronto Schools
Stephen Leacock C.I.
Pierre Elliott Trudeau H.S.
Bond Academy/Bond Int'l Colleg
Marc Garneau C.I.
University Hill S.S.
Gloucester
North York
West Vancouver
Scarborough
North York
Markham
North York
Toronto
Mississauga
Vancouver
Toronto
Scarborough
Markham
Scarborough
North York
Vancouver
Richmond Hill
12
12
12
12
12
11
12
11
12
12
11
12
12
12
11
11
12
Windsor
Abbotsford
Westmount
North York
Scarborough
Markham
North York
Westmount
Scarborough
Toronto
Toronto
Ottawa
North York
Waterloo
York
North York
Delta
Scarborough
North York
Waterloo
Port Moody
Vancouver
Westmount
Oakville
Abbotsford
North York
Richmond Hill
Coquitlam
Calgary
London
Edmonton
Oakville
North York
North York
Westmount
12
10
12
12
9
12
10
13
12
12
11
12
9
11
12
11
11
12
11
11
11
11
12
11
12
12
10
11
12
11
12
12
11
12
12
Scores/Notes 86 - 84
ANAS
SUNGIL
ROBERT
VIVEK
RICHARD
WEI
SHUO
SU YU
JUNRAN
QINGJIN
SABRINA
BAILEY
JENNIFER
TING HAN
CHARLIE
SIMON
XIAORAN
DANIEL
JIAHUI
BILLY
DONG KYU
HENRY
STEVEN
YUJIN
YUHSUAN
JANE
HENRY
LIUPEI
CUI
ERIC
YIYING
SOJUNG
CHEN
JIA
GUEORGUI
Vincent Massey S.S.
Yale S.S.
Marianopolis College
Victoria Park C.I.
Albert Campbell C.I.
Pierre Elliott Trudeau H.S.
Earl Haig S.S.
Marianopolis College
Sir John A. Macdonald C.I.
Bishop Strachan School
University of Toronto Schools
Lisgar C.I.
Marc Garneau C.I.
Waterloo C.I.
Vaughan Road Academy
Marc Garneau C.I.
Southpointe Academy
Woburn C.I
Waterloo C.I.
Port Moody Sr. S.S.
University Hill S.S.
Marianopolis College
Abbey Park H.S.
Abbotsford Christian School
Newtonbrook S.S.
Pinetree S.S.
Queen Elizabeth H.S.
London Central S.S.
Lillian Osborne H.S.
King's Christian Collegiate
Don Mills C.I.
Royal Crown Academic School
Marianopolis College
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group IV/Groupe IV
TIAN
TSE
WANG
WANG
WANG
WONG
WU
WU
XIA
XIANG
XIE
YANG
YE
YU
YU
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHOU
ZHOU
ZLOTCHEVSKI
Scores/Notes 86 - 84
FENG
VIVIAN
FENGYANG
SUNNY
YITAO
RICHARD
SAMUEL
YI DI LILY
YUCHEN
QIAN
YUKUAN
YUMENG
LI
FRANK
TIANYI
RICHARD
RUBY
RUN YU
SHUOLUN
JINJIN
JOHN
WUHAN
ANDREI
Group V/Groupe V
AN
BAEK
BAZZI
BROADLEY
CAO
CHAI
CHASSIN
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHOO
CHU
CORNELLIER
DAVE
DI
FANG
FARRANT DIAZ
FENG
FU
GAO
GOKHSHTEYN
GU
GU
HE
HUANG
Western Canada H.S.
North Toronto Christian School
Sir John A. Macdonald S.S.
Bell H.S.
St. George's School
Thornhill S.S.
Northern S.S.
Vincent Massey S.S.
Earl Haig S.S.
Fort Richmond C.I.
Don Mills C.I.
Columbia Int'l College
Richmond Hill H.S.
Victoria Park C.I.
Bloor C.I.
Oakville Trafalgar H.S.
University of Toronto Schools
Victoria Park C.I.
L'Amoreaux C.I.
Colonel By S.S.
University of Toronto Schools
Vincent Massey S.S.
Marianopolis College
Calgary
North York
Waterloo
Nepean
Vancouver
Thornhill
Toronto
Windsor
North York
Winnipeg
North York
Hamilton
Richmond Hill
North York
Toronto
Oakville
Toronto
North York
Scarborough
Gloucester
Toronto
Windsor
Westmount
11
12
10
12
11
12
11
11
12
12
12
12
12
11
12
12
10
12
12
10
10
12
12
Vancouver
Gloucester
Windsor
Toronto
Saskatoon
Toronto
Ottawa
North York
North York
Windsor
Kitchener
Edmonton
North York
Gloucester
Vancouver
Richmond
Sainte-Anne-De-Belle
North York
North York
North York
Toronto
Victoria
Thornhill
Maple Ridge
Richmond Hill
Ottawa
Mississauga
New Westminster
Markham
11
12
11
12
9
11
12
11
11
12
12
12
12
11
12
12
13
12
12
12
11
9
12
12
12
12
12
11
12
Scores/Notes 83 - 79
ANDY
ANDY
KASSEM
THOMAS
RICHARD
JUSTIN
NICOLE
BEINI
FANNY
MICHAEL
PENGYU
TIANYUAN
WENBO
ZI KAI
SEO HYUN
TIMMY
ALEX
MAHIMNA
DIWEIZH E
XIAOTONG
NATHAN
ZIYI
DAVID
SHUANGFAM
PETER
XIANG
YUAN YUAN
BILL
ANDY
University Hill S.S.
Colonel By S.S.
Vincent Massey S.S.
University of Toronto Schools
Walter Murray C.I.
Upper Can Col-Upper School
Lisgar C.I.
Northview Heights S.S.
York Mills C.I.
Vincent Massey S.S.
Rockway Mennonite C.I.
Ross Sheppard Comp. H.S.
Earl Haig S.S.
Colonel By S.S.
Lord Byng S.S.
R.C. Palmer S.S.
John Abbott College
Marc Garneau C.I.
A.Y. Jackson S.S.
Fieldstone Day School
University of Toronto Schools
St. Michael's Univ. School
Thornhill S.S.
Thomas Haney S.S.
Richmond Hill H.S.
Brookfield H.S.
Gordon Graydon Memorial S.S.
New Westminster S.S.
Milliken Mills H.S.
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
HUANG
HUANG
HUANG
HUANG
JAIN
JANMOHAMED
JEN
JIA
JIN
KANG
KANG
KEATING
KESELJ
KIM
KIM
KONG
KUANG
LAM
LAM
LAN
LAU
LAVI
LI
LI
LI
LI
LI
LI
LI
LI
LIANG
LIANG
LIN
LIU
LIU
LIU
LU
LU
LUO
LUO
MARIN
NACHIAPPAN
NASSIF
PARK
PARK
PATEL
PEC
POKRASS
QIN
QIU
RAMA
RIAZ
SEMELHAGO
SHAN
SHEN
Scores/Notes 83 - 79
DONGLIANG
KEVIN
ROBERT
TODD
SAHIL
ALYF
GREGORY
XINRUI
MINGDA
ANDREW
HANSON
TAYLOR
STEFAN
CHELSEA
RYAN
ANGUS
CORIN
FREDRIC
JASON
HAO YUE
WOODY
EILON
DAVIS
GORDON
SCARLETT
SHU HAO
VIVIAN
XIANG
YINUO
YIQIAO
JEFFREY
WEIKE
QI
BAILIANG
DAN
RICHARD
DISEN
THOMAS
QINHAO
XIANGGE
SAM
MEYYAPPAN
MATHIEU
JOOHEON
SANG WOO
RAHUL
DAVID
MICHELLE
SHIRLEY
BRYAN
TEDI
HASSAN
ANDREW
BINGCHEN
DANHENG
Fieldstone Day School
St. David C.S.S.
Semiahmoo S.S.
Burnaby Mountain S.S.
Mississauga S.S.
Upper Can Col-Upper School
R.A. McMath S.S.
Vincent Massey S.S.
Alexander Mackenzie H.S.
St. Michael's Univ. School
West Vancouver S.S.
Crescent School
Charles P. Allen H.S.
Abbey Park H.S.
Oakridge S.S.
Vincent Massey S.S.
Queen Elizabeth H.S.
Dawson College
Earl Haig S.S.
Unionville H.S.
Upper Can Col-Upper School
A.B. Lucas S.S.
Gladstone Secondary School
Lord Byng S.S.
Victoria Park C.I.
University Transition Program
Earl Haig S.S.
H.B. Beal S.S.
St. David C.S.S.
Lord Byng S.S.
Martingrove C.I.
Wales College
Westdale S.S.
Western Canada H.S.
Bell H.S.
Lisgar C.I.
Don Mills C.I.
Markham District H.S.
Thornhill S.S.
Glenforest S.S.
Nepean H.S.
Victoria Park C.I.
College Jean de Brebeuf
Fraser Heights S.S.
King's Christian Collegiate
Markville S.S.
Vaughan S.S.
Richmond Hill H.S.
George S. Henry Academy
Richmond Hill H.S.
Earl Haig S.S.
Western Canada H.S.
Hillfield-Strathallan Coll. H.
Port Moody Sr. S.S.
St. John's-Ravenscourt School
North York
Waterloo
Surrey
Burnaby
Mississauga
Toronto
Richmond
Windsor
Richmond Hill
Victoria
West Vancouver
North York
Bedford
Oakville
London
Windsor
Calgary
Montreal
North York
Markham
Toronto
London
Vancouver
Vancouver
North York
Vancouver
North York
London
Waterloo
Vancouver
Etobicoke
Scarborough
Hamilton
Calgary
Nepean
Ottawa
North York
Markham
Thornhill
Mississauga
Ottawa
North York
Montreal
Surrey
Oakville
Markham
Thornhill
Richmond Hill
North York
Richmond Hill
North York
Calgary
Hamilton
Port Moody
Winnipeg
12
11
12
11
12
12
12
11
12
11
10
12
11
11
12
12
12
12
12
12
11
11
12
12
12
12
12
11
10
12
11
12
11
11
12
12
12
12
11
12
12
12
13
12
11
12
12
12
12
12
12
12
12
12
12
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
SHEN
SHI
SISSON
SONG
SONG
STIRLING
SUN
SUN
SUNDARARAMAN
SUNG
TAM
TANG
THOMPSON
TIAN
WANG
WANG
WANG
WANG
WANG
WANG
WANG
WEI
WONG
WONG
WONG
WU
XIA
XIAO
XIAO
XIN
XU
XU
XU
XU
XU
XU
YAN
YAN
YAN
YANG
YANG
YE
YE
YEUNG
YIN
YING
YOON
YU
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
Scores/Notes 83 - 79
KATHY
CHAOHE
DESMOND
DANIEL
JAY
TREVOR
YIFEI
YUN LAN
SRIRAM
LUKE
BRIA N
MU
FLASH
YUAN
MASSIE
MIKE
RENHAO
RUIQI
SHINE
YIZE
ZHAOYANG
BEN
DANIEL
FELIX
JONATHAN
XIAOZE
ANDY
KEVIN
SCOTT
HUANG
CHENG
FREDDY
LIN
ROBBIN
STEPHEN
YUWEI
HAO HENRY
HE QING
ZEN
KEVIN
YOUNG
DENNIS
HUIZI
CYNTHIA
DAVID
LESLIE
HYE JI
ALLEN
JOE
ROGER
TONY
YIBO
YIXIAO
YUCHI
ELIYA
Burnaby
Burnaby Mountain S.S.
Burnaby
Western Canada H.S.
Calgary
Thornhill S.S.
Thornhill
John Fraser S.S.
Mississauga
Kelowna S.S.
Kelowna
Agincourt C.I.
Scarborough
North Toronto C.I.
Toronto
Glenforest S.S.
Mississauga
Rothesay Netherwood School
Rothesay
Magee S.S.
Vancouver
Lord Byng S.S.
Vancouver
Longfields-Davidson Heights S. Nepean
Belmont S.S.
Victoria
Fraser Heights S.S.
Surrey
Sir John A. Macdonald C.I.
Scarborough
Marc Garneau C.I.
North York
Burnaby
Richmond Hill
Great Lakes Col. of Toronto
Toronto
A.Y. Jackson S.S.
North York
North York
Francis Libermann C.H.S.
Scarborough
Colonel By S.S.
Gloucester
Richmond Hill
Marc Garneau C.I.
North York
University of Toronto Schools Toronto
Glenforest S.S.
Mississauga
Burnaby North S.S.
Burnaby
New Oriental Int'l College
Scarborough
Huron Heights S.S.
Newmarket
Vancouver
Alexander Mackenzie H.S.
Richmond Hill
Lisgar C.I.
Ottawa
Bell H.S.
Nepean
Vincent Massey S.S.
Windsor
Rockridge S.S.
West Vancouver
H.B. Beal S.S.
London
Mississauga
Colonel By S.S.
Gloucester
Fraser Heights S.S.
Surrey
Sir John A. Macdonald C.I.
Scarborough
Southpointe Academy
Delta
Holy Trinity School
Richmond Hill
New Westminster S.S.
New Westminster
University of Toronto Schools Toronto
Port Moody
Marc Garneau C.I.
North York
Vincent Massey S.S.
Windsor
Campbell C.I.
Regina
Unionville H.S.
Markham
New Oriental Int'l College
Scarborough
Woburn C.I
Scarborough
St. Francis Xavier S.S.
Mississauga
Cameron Heights C.I.
Kitchener
12
12
11
11
12
12
13
10
12
12
12
12
10
12
11
12
11
11
12
12
12
9
12
11
10
11
12
12
10
12
12
10
12
11
11
11
12
11
11
12
12
12
12
12
10
12
11
12
13
12
12
12
10
11
12
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
ZHENG
ZHOU
ZHOU
ZHOU
ZHOU
ZHU
Scores/Notes 83 - 79
LUYI
DANIEL
WILLIAM
XIAOZHOU
YUQING
JAMESON
Burnaby North S.S.
Centennial Collegiate
Britannia S.S.
Sentinel S.S.
Windermere S.S.
Burnaby
Saskatoon
Vancouver
West Vancouver
Vancouver
Vancouver
12
9
13
12
12
11
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Name/Nom
School/École
Group I/Groupe I
Scores/Notes 96 - 93
CAO
CHENG
KOU
LIANG
XUAN
SICHENG
DEANY
YUANHENG
XIJIN
GANYUAN
Group II/Groupe II
BORA
CHONG
FENG
GUO
LENGUYENVUONG
LI
LIM
MEDARAMETLA
ONG
RUIHENG
TAN
WANG
WU
YANG
ZHENG
ZHU
Hangzhou Foreign Language Scho Hangzhou
Math. Trainers Guild of Philip Zamboanga City
Beijing
Chengdu Foreign Lang. Sch. (SI Chengdu Sichuan
Shenyang No 2 School
Shenyang
Grade/Niveau
11
10
12
12
11
Scores/Notes 92 - 91
SAFAL
SHAO WEI
XINYI
XUAN
LINH
YIXUAN
YU CHEN
DHRUV
SHIN YIN
ZHAO
WAY
ZEHAN
SHENYANG
XIAOHE
SICHENG
YIYUE
Group III/Groupe III
BEI
BHATTACHARYA
BI
CHEN
CHEN
CHEN
CHEN
CHRISTIAN
CLINKENBEARD
FENG
GU
HE
HONG
JI NG
JIN
LI
LI
LIU
LUCIANTO
LUO
MA
MA
QIU
SEET
SRIDHAR
Location/Endroit
ICAE
NUS H.S. of Mathematics & Scie
Hangzhou Foreign Language Scho
Ningbo Foreign Language School
Anglo-Chinese School (Independ
Wuxi No1 H.S
NUS H.S. of Mathematics & Scie
ICAE
Taylor's College - Sri Hartama
DaLian Zhongshan Stanford Lang
NUS H.S. of Mathematics & Scie
Ningbo Foreign Language School
Anglo-Chinese School (Independ
Troy
Singapore
Hangzhou
Ningbo
Singapore
Wuxi Jiangsu
Singapore
Troy
Kuala Lumpur
DaLian
Singapore
Ningbo
Singapore
Beijing
Qingdao Hongguang Foreign Lang Qingdao
Cambridge Int'l Ctr. of Shangh Shanghai
9
11
11
10
12
12
10
9
12
11
11
12
10
12
12
12
Scores/Notes 90 - 88
YIJIE
ANKAN
TIANCHEN
QIZHAO
RUI
SHUQI
ZHAOMENG
KEVIN
TREVOR
GEOFFREY
ZHENGYU
YUCONG
XIANGYU
SONGSHI
BINBIN
KANRUI
ZHONGQI
RUI
ALBERT
SHUER
MINGYUE
YUANPEI
CAIYONG
SEAN
ADITYA
Anglo-Chinese School (Independ Singapore
ICAE
Troy
1st Qin Huang Dao Middle Schoo Qin Huang Dao
Beijing
Shanghai Guanghua College-Fuda Shanghai
Nanjing Foreign Language Schoo Nanjing
Beijing
Surya Institute
Tangerang
Iowa City West H.S.
Iowa City
SIP Dulwich College United Sch Suzhou
Shanghai
Shenzhen M.S.
Shenzhen
Shanghai
Shanghai Guanghua College-Fuda Shanghai
Hangzhou Foreign Language Scho Hangzhou
Shenzhen Col. of Inter. Educat Shenzhen Guangdong
Jinan Foreign Language School Jinan
Qingdao Hongguang Foreign Lang Qingdao
Surya Institute
Tangerang
Hangzhou Foreign Language Scho Hangzhou
Qingdao #2 Middle School-Int'l Qingdao
Shanghai
Shenzhen M.S.
Shenzhen
NUS H.S. of Mathematics & Scie Singapore
The Institute for Career Studi Pune
10
9
12
9
12
11
9
10
12
11
11
11
12
12
11
12
11
11
10
11
12
11
12
12
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group III/Groupe III
SY
TRUONG NHAT
TUNCBILEK
WANG
WU
XIAHOU
XU
YING
YUEJIA
ZHAO
Scores/Notes 90 - 88
ADRIAN
MINH
YUNUS
WILSON
JIAQI
ZUOHAN
PATRICIA
YUFENG
PAN
ZIJIAN
Group IV/Groupe IV
CHEN
CHEN
CHEN
CHEN
CHEN
DENG
DOGAN
DU
FENG
GE
GU
GUO
HE
HONG
HU
HUANG
JEE
JIANG
JIN
JIN
JING
KEE
LAI
LI
LI
LIM TIONG SOON
LIN
LIN
LIU
LU
NARAYAN
NI
QIAN
RONG
SHEN
SHEN
SOESANTO
SONG
SUN
THAVAMANI
TRUONG CONG
TUO
Math. Trainers Guild of Philip
Nguyen Du Secondary
Istanbul Ataturk Science H.S.
SIP Dulwich College United Sch
Anglo-Chinese School (Independ
Shenzhen M.S.
Canadian Trillium College-Jinh
Ningbo Foreign Language School
Nanjing Foreign Language Schoo
NUS H.S. of Mathematics & Scie
Zamboanga City
Ho Chi Minh
Istanbul
Suzhou
Singapore
Shenzhen
Jinhua - Zhejiang
Ningbo
Nanjing
Singapore
10
12
11
10
9
11
12
12
10
12
Scores/Notes 87 - 85
ANRAN
MINGZE
SHUZHAO
SIDA
WEIYI
SHUYUAN
BERK
SINYI
XINGYANG
FANGZHOU
DING
PEIYAO
HAOZHE
YIPENG
SONG
HAO
DONG JUN
YIWEN
YANDI
ZHIYANG
YIDUO
ZENG SENG
TING HEI A
NIAN
WENXUAN
KELSEY
JINGFENG
XIAOWEN
TIANXIAO
JINXIN
J M SOORYA
DANTING
DAWEI
JIUFENG
CHENGZE
WUYI
CHRISTA L
SHUANG
JINGYUAN
CHITTESH
MINH DANG
YIFAN
Shenzhen Col. of Inter. Educat Shenzhen Guangdong
Nanjing Foreign Language S. Xi Nanjing
Shanghai
Qingdao Hongguang Foreign Lang Qingdao
Chengdu Foreign Lang. Sch. (SI Chengdu Sichuan
Shenzhen Col. of Inter. Educat Shenzhen Guangdong
Izmir Ozel Fatih Koleji
Konak
Hangzhou Foreign Language Scho Hangzhou
Chongqing Maple Leaf Int'l Sch CHongqing
Shanghai
Hangzhou Foreign Language Scho Hangzhou
Beijing
Cambridge Int'l Ctr. of Shangh Shanghai
Shanghai
Beijing
Ningbo Foreign Language School Ningbo
NUS H.S. of Mathematics & Scie Singapore
Shanghai World Foreign Languag Shanghai
The Experimental H.S att. to B Beijing
Shanghai
Wuxi No1 H.S
Wuxi Jiangsu
Sunway College-Canadian Int'l Selangor Darul Ehsan
St Paul's Co-educational Colle Hong Kong
Qingdao Hongguang Foreign Lang Qingdao
Shenzhen M.S.
Shenzhen
Math. Trainers Guild of Philip Zamboanga City
Shenzhen Col. of Inter. Educat Shenzhen Guangdong
Chengdu Shude Senior H.S.
Chengdu
Anglo-Chinese School (Independ Singapore
WHBC of Wuhan Foreign Language Jianghan District Wu
M.E.S Indian School
Doha
Cambridge Int'l Ctr. of Shangh Shanghai
Meicun Senior High School
Wuxi
National Institute of Technolo Beijing
Beijing National Day School
Beijing
Cambridge Int'l Ctr. of Shangh Shanghai
Surya Institute
Tangerang
Qingdao #2 Middle School-Int'l Qingdao
Shanghai
ICAE
Troy
NUS H.S. of Mathematics & Scie Singapore
National Institute of Technolo Beijing
11
11
11
12
12
11
12
11
12
11
11
12
12
12
12
11
11
11
12
12
12
12
12
11
12
8
12
12
12
11
12
12
12
12
10
12
11
12
9
10
12
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group IV/Groupe IV
WANG
WANG
WEIJIE
WU
WU
XIONG
XU
XU
XUE
YANG
YAP
YUJING
ZHANG
ZHANG
ZHANG
ZHANG
ZHUANG
ZHUGE
Scores/Notes 87 - 85
JIAHUI
JINGHANG
WANG
PENG
SHIDI
YUXUAN
KE
ZHIHAN
ZIMING
JIACHEN
KWAN HONG
ZHENG
GEJIA
LIWEN
MENGCHUN
YONGKANG
YIHAO
JIAMIN
Group V/Groupe V
BAO
CAO
CAOAN
CHEN
CHEN
CHEN
CHEN
CHENG
CHRISTOPHER
CHUATAK
CONGLING
DAI
DAO
DIANZHI
DIWEI
DONG
DONG
FAN
FAN
FENG
FENG
FENG
GAN
GAO
GAO
GUO
HA QUANG
HASANZADE
HE
HNG
HU
HUA
HUANG
HUANG ZE MING
Cambridge Int'l Ctr. of Shangh
Changzhou Sr. H.S. of Jiangsu
Jinling H.S.
Ulink College of Suzhou Indust
Cambridge Int'l Ctr. of Shangh
NUS H.S. of Mathematics & Scie
Nanjing Foreign Language S. Xi
Qingdao Hongguang Foreign Lang
Anglo-Chinese School (Independ
Anglo-Chinese School (Independ
Taylor's College - Subang Jaya
Hangzhou Foreign Language Scho
Qingdao Hongguang Foreign Lang
Tianjin Cambridge Int'l Examin
Jinan Foreign Language School
Qingdao #2 Middle School-Int'l
Nanjing Foreign Language S. Xi
Cambridge Int'l Ctr. of Shangh
Shanghai
Changzhou
Nanjiing
Suzhou Jiansu
Shanghai
Singapore
Nanjing
Qingdao
Singapore
Singapore
Subang Jaya Selangor
Hangzhou
Qingdao
Tianjin
Jinan
Qingdao
Nanjing
Shanghai
12
11
12
11
12
12
11
10
9
11
12
11
11
13
10
Nanjing Jiangsu
Xi'an Shaanxi
Nanjing
Shanghai
Chengdu
Shenzhen Guangdong
Shanghai
Chengdu
Tangerang
Zamboanga City
DaLian
Suzhou
Singapore
Hangzhou
DaLian
Shanghai
Shanghai
Qingdao
Beijing
Shenzhen Guangdong
Wuxi Jiangsu
Hangzhou
Selangor Darul Ehsan
Shenzhen Guangdong
Suzhou
Suzhou
Singapore
Baku
Beijing
Selangor Darul Ehsan
Hangzhou
Shanghai
Pennington
Singapore
11
11
11
12
11
12
12
12
11
9
11
10
11
11
11
12
12
11
12
11
12
11
12
13
10
11
11
11
10
12
11
12
11
12
11
12
Scores/Notes 84 - 81
XUCHAN
SHUHE
YUFAN
DING DING
DINGYANG
ZEHAN
ZHOUYANG
SHI YING
WIRIAWAN
JOHN
WANG
WILLIAM
MANH TRI
YU
LI
TIAN
XINRU
XUEQI
YICHUN
QIYAO
XIAOWEN
YULAN
CHESTER
GE
JIMMY
JACK
TRUNG
HASAN
AINING
ENG NGEE
LIANG
YUHAN
JIAQI
BENJAMIN
H.S. Affiliated to Nanjing Nor
Xi'an Gaoxin No.1 M.S.
Nanjing Foreign Language Schoo
Cambridge Int'l Ctr. of Shangh
Chengdu Shude Senior H.S.
Shenzhen Col. of Inter. Educat
Cambridge Int'l Ctr. of Shangh
Chengdu Shude Senior H.S.
Surya Institute
Math. Trainers Guild of Philip
DaLian Zhongshan Stanford Lang
SIP Dulwich College United Sch
Anglo-Chinese School (Independ
Hangzhou Foreign Language Scho
DaLian Zhongshan Stanford Lang
Cambridge Int'l Ctr. of Shangh
Shanghai Guanghua College-Fuda
Qingdao Hongguang Foreign Lang
Shenzhen Col. of Inter. Educat
Wuxi No1 H.S
Hangzhou Foreign Language Scho
Sunway College-Canadian Int'l
Shenzhen Col. of Inter. Educat
SIP Dulwich College United Sch
SIP Dulwich College United Sch
NUS H.S. of Mathematics & Scie
Baku Private Turkish High Scho
Beijing National Day School
Sunway College-Canadian Int'l
Hangzhou Foreign Language Scho
The Pennington School
Anglo-Chinese School (Independ
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group V/Groupe V
JIAN G
JOHAN ARIFIN
KANG
KONG
LAO
LEE
LI
LI
LI
LI
LI
LI
LI
LI
LI
LI
LI
LI
LIANG
LIAW
LIEW C CHENG
LIM
LIM
LIM
LIN
LIU
LIU
LIU
LIU
LIU
LIU
LIU
LOW
LU
LYU
MAO
MIAO
NG
OBSNIUK
OH
OOI
OU YANG
PENG
PHUA
QIU
QU
RAMDENEE
REGE
SHAO
SHE
SHEN
SHEN
SHI
SMITH
SUKANTO
Scores/Notes 84 - 81
HANG
ROSLAN
HEEJIN
LINGHAO
MA CZARINA
EUGENE
CHENGLEI
CHINWA
DONGYU
HONGYE
MENGPING
OLIVIA
QIN
QINGYU
QIUJIA
XIYAN
ZHIHENG
ZIHAN
XIAOMAN
CARMELITTA
SEAN
XIN TIAN
YE ANG
ZUNREN
ZHENYING
BIYING
COREY
DOMINIC
MINGHAO
SPENCER
YUXUAN
ZIZHEN
JARED
YECHANG
YIFENG
RUNYANG
YE
RAYNOLD
ZACHARY
HUI SEN
SZE HWEI
ZHONGLIANG
YILIN
YU YU
FANYUAN
SHUANG
LEKSHA
RAVIRAJ
ZHIPENG
BAOCHEN
GULAI
ZEKUN
YILIU
DANIEL
RAYMOND
WHBC of Wuhan Foreign Language
Taylor's College - Sri Hartama
UWC South East Asia East Campu
Changzhou Sr. H.S. of Jiangsu
Math. Trainers Guild of Philip
Esoterica Math & Science Club
NUS H.S. of Mathematics & Scie
Nanhai Int'l Education Center
Anglo-Chinese School (Independ
Shenzhen Col. of Inter. Educat
Shenzhen Col. of Inter. Educat
SIP Dulwich College United Sch
WHBC of Wuhan Foreign Language
Dalian No. 24 High School
Shenzhen Col. of Inter. Educat
Shenzhen Col. of Inter. Educat
Shenzhen Col. of Inter. Educat
Cambridge Int'l Ctr. of Shangh
Guangdong Country Garden Sch.
Sunway College-Canadian Int'l
Anglo-Chinese School (Independ
Taylor's College - Subang Jaya
Sekolah Menengah Jenis Kebangs
Taylor's College - Sri Hartama
Dalian No. 24 High School
Jinan Foreign Language School
SIP Dulwich College United Sch
Dalian Maple Leaf Int'l School
Qingdao #2 Middle School-Int'l
ICAE
Cambridge Int'l Ctr. of Shangh
WHBC of Wuhan Foreign Language
Anglo-Chinese School (Independ
Shanghai Guanghua College-Fuda
Ningbo Foreign Language School
Ulink College
Anglo-Chinese School (Independ
ICAE
Taylor's College - Subang Jaya
Taylor's College - Subang Jaya
NUS H.S. of Mathematics & Scie
Nanhai Int'l Education Center
Anglo-Chinese School (Independ
Qingdao #2 Middle School-Int'l
Shenzhen M.S.
Mahatma Gandhi S. S. Solferino
ICAE
Zhenhai H.S. of Zhejiang
H.S. Affiliated to Nanjing Nor
Meicun Senior High School
Beijing National Day School
Cambridge Int'l Ctr. of Shangh
Int'l Sch. Manila
Anglo-Chinese School (Independ
Jianghan District Wu
Kuala Lumpur
Singapore
Changzhou
Zamboanga City
Cresskill
Singapore
Foshan
Singapore
Shenzhen Guangdong
Shenzhen Guangdong
Suzhou
Jianghan District Wu
Dalian
Shenzhen Guangdong
Shenzhen Guangdong
Shenzhen Guangdong
Shanghai
Foshan City
Selangor Darul Ehsan
Singapore
Subang Jaya Selangor
Sungai Petani
Kuala Lumpur
Dalian
Jinan
Suzhou
Dalian Jinshitan
Qingdao
Troy
Shanghai
Jianghan District Wu
Singapore
Shanghai
Beijing
Ningbo
Shanghai
Singapore
Troy
Subang Jaya Selangor
Subang Jaya Selangor
Singapore
Foshan
Singapore
Qingdao
Shenzhen
Vacoas
Troy
Ningbo
Nanjing Jiangsu
Wuxi
Beijing
Shanghai
Taguig City
Singapore
11
12
11
11
9
11
12
11
12
12
13
11
11
12
12
12
12
12
12
12
12
12
12
12
11
11
10
12
9
12
10
12
12
11
12
11
12
9
12
12
11
11
12
11
11
9
11
11
12
11
12
12
10
2013
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group V/Groupe V
SUTEDJA
TANG
TANG
TAO
TONG
WAN
WANG
WANG
WANG
WANG
WEI
WU
WU
XIA
XIA
XIADONGYI
XIAO
XIAO
XIE
XU
XU
XU
XU
YAN
YANG
YANG
YANG
YANQI
R
YAP
YE
YI KYE
YING
YINSONG
YONG XIAO BIN
YUAN
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHAO
ZHENG
ZHOU
O
ZHUANG
ZIHAN
Scores/Notes 84 - 81
NATASHA
AIXIN
ZHENYI
YUJIA
LEXING
ZHENGQU
JIAKAI
RUIYU
YIMING
YU
CELINE
TIANYUAN
JIN
MINGZE
DONGYI
HOUZE
ZEPENG
JOSEPH
JINGYANG
QIHAO
RUI
WEN
YIHUI
CHUQIAO
HUADONG
QIQI
NI
EU GENE
ZHANG TING
KHONG
JIE
WANG
ADRIAN
YUNQING
CHENYANG
JIAHAO
LICHENG
RUIZE
SIYUYANG
XIANGHENG
KAIYU
ZIHAN
MINGMING
ZIQI
KAIJIE
WANG
Surya Institute
Shenzhen Col. of Inter. Educat
Changzhou Sr. H.S. of Jiangsu
Hangzhou Foreign Language Scho
Shanghai American School (West
Hangzhou Foreign Language Scho
Cambridge Int'l Ctr. of Shangh
Shanghai Guanghua College-Fuda
Qingdao Hongguang Foreign Lang
Hangzhou Foreign Language Scho
Nanyang Model High School
Cambridge Int'l Ctr. of Shangh
Cambridge Int'l Ctr. of Shangh
Shenzhen Concord College of Si
Hangzhou Foreign Language Scho
Shanghai Pinghe School
Shenzhen M.S.
SIP Dulwich College United Sch
Zhenhai H.S. of Zhejiang
Ulink College
Ulink College of Suzhou Indust
National Institute of Technolo
Tianjin Teda Maple Leaf Int'l
Jinling H.S.
Shenzhen Col. of Inter. Educat
Yichang No. 1 Senior H.S.
Zhenhai H.S. of Zhejiang
Taylor's College - Subang Jaya
Meicun Senior High School
Sekolah Menengah Jenis Kebangs
Zhangjiagang Ivy Experimental
Sunway College-Canadian Int'l
Ulink College of Suzhou Indust
Nanjing Foreign Language Schoo
Hangzhou Foreign Language Scho
WHBC of Wuhan Foreign Language
Nanhai Int'l Education Center
Jinan Foreign Language School
Xi'an Gaoxin No.1 M.S.
Ningbo Foreign Language School
Beijing National Day School
Cambridge Int'l Ctr. of Shangh
Tangerang
Shenzhen Guangdong
Changzhou
Hangzhou
Shanghai
Hangzhou
Shanghai
Shanghai
Qingdao
Hangzhou
Shanghai
Shanghai
Shanghai
Nashan District Shen
Hangzhou
Shanghai
Shenzhen
Suzhou
Ningbo
Shanghai
Suzhou Jiansu
Beijing
Teda
Nanjiing
Shenzhen Guangdong
Yichang
Ningbo
Subang Jaya Selangor
Wuxi
Sungai Petani
Shanghai
Zhangjiagang
Selangor Darul Ehsan
Suzhou Jiansu
Nanjing
Hangzhou
Shanghai
Jianghan District Wu
Foshan
Jinan
Shanghai
Beijing
Xi'an Shaanxi
Ningbo
Beijing
Shanghai
11
12
11
11
12
11
12
11
12
11
12
12
12
12
11
12
11
11
11
11
11
12
12
12
12
12
11
12
12
12
12
12
12
11
11
11
11
11
11
11
12
11
11
11
11
12
International/Unofficial Results
Résultats internationaux/non-officiels
UNOFFICIAL STUDENTS AT SCHOOLS IN CANADA /
ÉLÈVES NON-OFFICIEL DANS LES ÉCOLES AU CANADA
SCORES / NOTES 100 - 80
Name/Nom
STANISLAV
YUHAN
JET
QIANHONG
TAORUI
TIANYI
YANG
CHENG
ZIHENG
MINGWEI
WEITIAN
ZHANG
LEO
ZEYU
XU
HAN DI
YAN
ZHEN FENG
SHAOYING
ZIYI
JIYEON
JIYOUN
HAOLIN
ZICHEN
YIQING
JUNDA
JAE JOON
AORAN
SEOKHO
BORUI
JICANG
TIANQI
YESHENG
BINGCAN
SIQI
JIAHUI
DONGFANG
YONGYU
BRUCE
FUWEI
ELRICA
SHIJUN
ALEX
TAO
GERGELY
JING
IRIS
LISE
DAN
RUIYAN
School/École
BALCHEV
BI
CAO
CHEN
CHEN
CHEN
CHEN
CHENG
CHU
DING
DING
ERICK
FENG
FENG
FRANK
GAO
GAO
GAO
GU
GU
HA
HONG
HUANG
HUANG
JIN
KONG
LEE
LI
LIM
LIN
LIU
LIU
LIU
MA
MEI
MIAO
OUYANG
QIN
QU
RAO
SUHERTAN
SUI
SUN
SUN
SZABO
TAO
TIAN
TURNER
URSU
WANG
Southpointe Academy
Burnaby North S.S.
Columbia Int’l College
Columbia Int’l College
Western Canada H.S.
Columbia Int’l College
Bronte College Of Canada
London Int’l Academy
Lisgar C.I.
Columbia Int’l College
Unionville H.S.
Vincent Massey S.S.
Nancy Campbell C.I
Markham District H.S.
Kitsilano S.S.
Trafalgar Castle School
Vanier College
Pearson Int’l College
Vincent Massey S.S.
Humberside C.I.
St. John’s-Ravenscourt School
Columbia Int’l College
A.Y. Jackson S.S.
Seaquam S.S.
Bond Academy/Bond Int’l College
Shawnigan Lake School
Ontario International College
Halifax West H.S.
Hon. W.C. Kennedy C.I.
Taie Int’l Institute
Ontario International College
London Int’l Academy
Metropolitan Prep. Academy
Bronte College Of Canada
Royal Elite Int’l Academy
King’s-Edgehill School
John Polanyi C.I.
Langstaff S.S.
Vincent Massey Collegiate
Columbia Int’l College
North Surrey S.S.
University Hill S.S.
Resurrection C.S.S.
Columbia Int’l College
Bronte College Of Canada
Southpointe Academy
John Abbott College
Vincent Massey S.S.
Ontario International College
Location/Endroit
North York, ON
Delta, BC
Burnaby, BC
Hamilton, ON
Hamilton, ON
Calgary, AB
Hamilton, ON
Mississauga, ON
London, ON
Ottawa, ON
Hamilton, ON
Markham, ON
Windsor, ON
London, ON
Markham, ON
Vancouver, BC
Whitby, ON
Saint-Laurent, QC
Toronto, ON
Windsor, ON
Toronto, ON
Winnipeg, MB
Hamilton, ON
North York, ON
Delta, BC
Scarborough, ON
Shawnigan Lake, BC
Toronto, ON
Halifax, NS
Windsor, ON
Toronto, ON
Toronto, ON
London, ON
North York, ON
Mississauga, ON
St. Catharines, ON
Windsor, NS
North York, ON
Richmond Hill, ON
Winnipeg, MB
Hamilton, ON
Surrey, BC
Vancouver, BC
Kitchener, ON
Hamilton, ON
Mississauga, ON
Delta, BC
Sainte-Anne-De-Bellevue, QC
Windsor, ON
Toronto, ON
International/Unofficial Results
Name/Nom
HAOYANG
JIN
JEREMY
NUO
QIUTONG
SHIRLEY
MATT
TIANYANG
XIA
HUANG
KAILIN
XIAOWEN
YAN
YIWEN
YUANDI
SIYAO
YIHAN
YIQING
WEI
WU
XIE
XU
YANG
YANG
YAO
YING
YUANPING
YUANZHOU
ZENG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHU
ZHU
Résultats internationaux/non-officiels
School/École
Braemar College
Albert Campbell C.I.
Albert Campbell C.I.
Champlain Reg. College
Pickering College
Sir John A. Macdonald C.I.
Langstaff S.S.
Laurel Academy of Canada
Ontario International College
Georges Vanier S.S.
Bronte College Of Canada
A.B. Lucas S.S.
Crofton House School
Fredericton H.S.
Columbia Int’l College
Royal Crown Academic School
A.Y. Jackson S.S.
Location/Endroit
Toronto, ON
Scarborough, ON
Scarborough, ON
Sherbrooke, QC
Newmarket, ON
Scarborough, ON
Richmond Hill, ON
Cambridge, ON
Kitchener, ON
Toronto, ON
North York, ON
Mississauga, ON
London, ON
Vancouver, BC
Fredericton, NB
Hamilton, ON
North York, ON
North York, ON