Euclid - 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
2016
Results
Euclid Contest
2016
Résultats
Concours Euclide
c
2016
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
Shane Bauman
Steve Brown
Carmen Bruni
Ersal Cahit
Heather Culham
Serge D’Alessio
Janine Dietrich
Jennifer Doucet
Fiona Dunbar
Mike Eden
Barry Ferguson
Judy Fox
Steve Furino
John Galbraith
Alain Gamache
Robert Garbary
Sandy Graham
Conrad Hewitt
Angie Hildebrand
Carrie Knoll
Judith Koeller
Bev Marshman
Mike Miniou
Brian Moffat
Dean Murray
Jen Nelson
J.P. Pretti
Kim Schnarr
Carolyn Sedore
Ian VanderBurgh
Troy Vasiga
Ashley Webster
Tim Zhou
Problems Committee / Comité des problèmes
Fiona Dunbar (Chair / présidente), University of Waterloo, Waterloo, ON
Mike Aben, Lakefield College School, Lakefield, 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, 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, Los Angeles, CA
Peter Wood, University of Waterloo, Waterloo, ON
2
Comments on the Paper
Commentaires sur les épreuves
Overall Comments
Congratulations to all of the participants in the 2016 Euclid Contest. The average score in 2016 was 52.7. We
were very pleased that a almost all students achieved some success on the early parts of 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 96 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 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: 9.5
This question was very well done.
2. Average: 9.4
This question was very well done.
3. Average: 7.6
Part (a) was done well. Part (b) was fairly well done. Some students counted fewer than the eighteen 9s or
missed the one 8 in the subtraction. Part (c) was fairly well done. Some students missed the fact that the
y-coordinate of the vertex of the parabola is negative because it is below the x-axis.
4. Average: 7.0
Part (a) was well done. In part (b), students presented a variety of solutions that showed that the difference
in areas is exactly 15 cm2 . The best of these solutions avoided any kind of decimal approximation.
5. Average: 6.3
Many students did well in part (a). The most common error was not converting the percentages in the
question to equivalent decimals. In part (b), the approaches to solutions were equally divided between
Solutions 1 and 2. With both approaches, the most common omission was skipping cases or jumping to an
equation without justification.
6. Average: 4.9
In part (a), students seemed to either have the correct answer, or did not know where to begin. A lot of
students in the latter group unsuccessfully attempted to solve the problem using logarithms. Some students
were able to determine the value of y, but did not give the value of x. Part (b) was generally well done.
Most students proceeded using Solution 1. Missing one of the cases was the most common mistake made by
students using this approach. In Solution 2, some students would claim that the required triangles must be
similar to the 3-4-5 triangle, but failed to justify why.
7. Average: 3.7
Students found part (a) to be very challenging. Students often did not define variables or explain what their
equations represented, making the allocation of partial marks difficult. Part (b) was generally well done.
The most common mistake was not considering the more straightforward cases when x = 0 and/or y = 0.
3
Comments on the Paper
Commentaires sur les épreuves
8. Average: 2.9
In part (a), students tried a variety of constructions, most often extending two lines and viewing the quadrilateral as the difference of two right triangles. Many students recognized that you could divide the quadrilateral
in many different ways: for example, using triangles, a rectangle, a trapezoid. Most students were able to
calculate a new length correctly using similar triangles. Many students interpreted the question as asking
for the area of the parallelogram instead. A large number of students used rounded decimals instead of exact
numbers. In part (b), the main road block seemed to be whether the student knew how to deal with the
“reciprocal of the variable”. The need for a change of base in the logarithm wasn’t obvious to a large number
of students.
9. Average: 1.1
Both parts of this problem were quite difficult and students
did not have much success. In part (a), a
n
reasonable number of students attempted factorial or “ k ” counting arguments with no success. Many
students were able to count the number of strings with at least one ABBA but failed to account for the
cases with two and three copies of ABBA. A few students successfully counted the number of strings
directly (generally using recursion) instead of counting the complement. For 9(b), students used a variety of
successful constructions: rotating triangles to the outside of the square, folding triangle inwardly, extending
perpendicular lines to the diagonal. Students who displayed a meaningful construction usually received 4 or
5 out of the 5 available marks.
10. Average: 0.3
Most students who attempted (a) calculated the probability using a table or by writing out pairs. Most
students got 1 out of the 2 available marks for a good attempt with some missed cases or double counting.
A reasonable number of students got the denominator wrong (but in this case they also got the numerator
wrong). Some students came up with the function 2n − 1, along with some mention of primes, in part (b),
but didn’t fully justify the result. Very few students attempted part (c). Most successful solutions used
powers of 2 or products of distinct primes. A few students came up with exact formulas for P (N ) for a
particular class of numbers.
Please visit our website at cemc.uwaterloo.ca to download the 2016 Euclid Contest, plus full solutions.
4
Comments on the Paper
Commentaires sur les épreuves
Commentaires Généraux
Félicitations à tous les participants du Concours Euclide 2016. La note moyenne était 52,7. Nous avons eu le
plaisir de constater que presque tous les élèves ont eu du succès dans les premières 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 96 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 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: 9,5
Cette question a été très bien réussie.
2. Moyenne: 9,4
Cette question a été très bien réussie.
3. Moyenne: 7,6
La partie (a) a été bien réussie. La partie (b) a été assez bien réussie. Certains élèves ont compté moins de
dix-huit 9 ou n’ont pas vu le seul 8 dans la différence. La partie (c) a été assez bien réussie. Certains élèves
n’ont pas remarqué que l’ordonnée du sommet doit être négative puisque le sommet est situé en dessous de
l’axe des abscisses.
4. Moyenne: 7,0
La partie (a) a été bien réussie. Dans la partie (b), les élèves ont utilisé diverses approches pour démontrer
qu’il y a une différence de 15 cm2 entre l’aire du grand cercle et celle du petit cercle. Les meilleures solutions
ont utilisé des valeurs exactes au lieu d’approximations décimales.
5. Moyenne: 6,3
Bon nombre d’élèves ont réussi la partie (a). L’erreur la plus commune a été de ne pas convertir les
pourcentages en forme décimale. Dans la partie (b), un nombre à peu près égal d’élèves ont choisi l’une
ou l’autre des approches suggérées dans les solutions 1 et 2. Avec chaque approche, les faiblesses les plus
communes ont été l’omission de certains cas possibles ou la suggestion d’une équation sans justification.
6. Moyenne: 4,9
Dans la partie (a), les élèves ont soit obtenu la bonne réponse ou ont semblé ne pas savoir comment aborder
la solution. Bon nombre d’entre eux ont tenté sans succès de résoudre le problème à l’aide de logarithmes.
Certains ont obtenu la valeur de y, mais n’ont pas donné celle de x. La partie (b) a été plutôt bien réussie.
La plupart des élèves ont utilisé l’approche de la solution 1. L’erreur la plus commune a été l’omission d’un
des cas. Parmi les élèves qui ont utilisé l’approche de la solution 2, certains ont suggéré que le triangle doit
être semblable au triangle remarquable 3-4-5, mais sans justification.
5
Comments on the Paper
Commentaires sur les épreuves
7. Moyenne: 3,7
Les élèves ont éprouvé de la difficulté dans la partie (a). Certaines solutions n’ont pas obtenu le maximum de
points à cause de l’utilisation de variables non définies ou de la présentation d’équations sans indications de
ce qu’elles représentaient. La partie (b) a été plutôt bien réussie. L’erreur la plus commune a été l’omission
des cas où x = 0 et/ou y = 0.
8. Moyenne: 2,9
Dans la partie (a), les élèves ont utilisé une variété de constructions. Bon nombre d’entre eux ont prolongé
deux segments de manière que le quadrilatère soit perçu comme la différence de deux triangles rectangles.
D’autres ont coupé le quadrilatère en parties plus simples, en utilisant des triangles, un rectangle, un trapèze.
La plupart des élèves ont réussi à calculer une nouvelle longueur en utilisant des triangles semblables.
Beaucoup d’élèves ont cru que l’on demandait l’aire du parallélogramme. Beaucoup d’élèves ont utilisé
des approximations décimales au lieu des valeurs exactes. Dans la partie (b), la difficulté principale a porté
sur le changement de base. Un grand nombre d’élèves n’ont pas vu la nécessité de changer la base du
logarithme.
9. Moyenne: 1,1
Les deux parties de ce problème étaient difficiles et les élèves n’ont pas connu beaucoup de succès. Dans
la partie
(a), bon nombre d’élèves ont fait appel à des techniques de comptage à l’aide de factorielles ou
de nk , mais sans succès. Beaucoup d’élèves ont réussi à compter le nombre de chaines qui comportaient la
suite ABBA, mais sans tenir compte du nombre de chaines qui comportaient deux ou trois copies de la suite
ABBA. Quelques élèves ont réussi à compter le nombre de chaines directement (par une méthode récursive)
au lieu de compter la situation complémentaire. Dans la partie (b), des élèves ont utilisé avec succès une
variété de constructions: la rotation de triangles à l’extérieur du carré, le pliage du triangle à l’intérieur, le
prolongement de droites perpendiculaires aux diagonales. Ceux et celles qui ont fait appel à une construction
significative ont presque tous obtenu 4 ou 5 des 5 points accordés pour ce problème.
10. Moyenne: 0,3
La plupart des élèves qui ont tenté de résoudre la partie (a) ont utilisé un tableau ou une liste des possibilités
pour calculer la probabilité. On a attribué 1 point sur 2 à ceux qui ont utilisé cette approche, tout en oubliant
quelques résultats ou en comptant des résultats deux fois. Bon nombre d’élèves ont obtenu un dénominateur
erroné (et habituellement un numérateur erroné). Dans la partie (b), certains élèves ont obtenu la fonction
déninie par f (n) = 2n − 1, tout en mentionnant des nombres premiers, sans toutefois justifier leur démarche.
Très peu d’élèves ont tenté de résoudre la partie (c). La plupart des solutions réussies ont fait appel aux
puissances de 2 ou au produit de nombres premiers distincts. Quelques élèves ont obtenu des formules exactes
pour P (N ) pour des classes particulières de nombres.
Veuillez visiter notre site Web à cemc.uwaterloo.ca pour télécharger le Concours Euclide 2016, avec
solutions complètes.
6
Champions – 2016
Champions – 2016
STUDENTS / ÉLÈVES
Students are listed in alphabetical order. / Les élèves sont nommés en ordre alphabetique.
Plaques
Chenxuan Bob Cui
Jennifer Guo
Kai Sun
Waley Zhang
Daniel Zhou
Semiahmoo S.S.
Marc Garneau C.I.
A.B. Lucas S.S.
New Westminster S.S.
Centennial Collegiate
Surrey, BC
North York, ON
London, ON
New Westminster, BC
Saskatoon, SK
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.
Honourable Mentions /
Mentions Honorables
Thomas Guo
Richard Kang
Robert Li
Lanfeng Sun
Linyin Sun
Ben Wei
Yue Weng
Henry Heng Xia
Ruiming Xiong
Ruizhou Yang
Alex You
Dr. E.P. Scarlett H.S.
Albert Campbell C.I.
Rothesay Netherwood School
Victoria Park C.I.
Waterloo C.I.
Unionville H.S.
Sir Winston Churchill S.S.
Western Canada H.S.
University Hill S.S.
Burnaby North S.S.
North York, ON
Calgary, AB
Scarborough, ON
Rothesay, NB
North York, ON
Waterloo, ON
Markham, ON
Vancouver, BC
Calgary, AB
Vancouver, BC
Burnaby, BC
Each student awarded an Honourable Mention receives a $200 cash prize from the Centre for
Education in Mathematics and Computing. /
Chaque élève qui reçois une mention honorable recevra aussi un prix de 200 $ du Centre d’éducation
en mathématiques et en informatique.
TEAMS / ÉQUIPES
Champion / Première
Second / Deuxième
Third / Troisième
Fourth / Quatrième
Marc Garneau C.I.
Albert Campbell C.I.
Bayview S.S.
A.Y. Jackson S.S.
Sir Winston Churchill S.S.
North York, ON
Scarborough, ON
Richmond Hill, ON
North York, ON
Vancouver, BC
7
Enrollment
Inscription
Number of schools registered by province /
Nombre d’écoles inscrit par province
AB
BC
MB
NB
NL
NS
ON
PE
QC
SK
YT
International
Total
52
173
30
19
17
29
721
4
24
17
2
383
1471
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
492
2246
228
131
134
242
9102
44
196
134
7
6241
19197
Total number of students enrolled / Nombre d’inscriptions individuelles: 19197
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
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
Classements des élèves
Rank/
Position
1
3
5
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
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
7
10
15
25
37
59
75
97
135
180
239
311
379
462
533
663
769
887
1003
1140
1298
1488
1647
1830
1997
2203
2430
2651
2885
3129
3387
3644
3944
4205
4493
4822
5164
5494
5819
6139
6464
6802
7120
7434
7807
8135
8488
Rank/
Position
8841
9164
9469
9778
10062
10360
10665
10975
11279
11537
11812
12049
12286
12511
12714
12956
13145
13337
13536
13743
13893
14046
14185
14319
14436
14543
14646
14731
14803
14878
14954
15007
15059
15102
15134
15163
15183
15206
15223
15236
15253
15272
15280
15285
15293
15295
15302
15306
15308
N.B. These rankings pertain to eligible contestants
only /
N.B. Ces rangs se rapportent seulement aux concurrents admissibles
9
2016
Euclid Contest/Concours Euclide
Team Honour Roll/Palmarès d'équipes
Rank/Rang School/École
City/Ville
Score/Note
1
2
3
4
4
6
7
7
9
10
10
12
13
14
14
16
16
18
19
19
21
22
23
23
25
26
26
26
29
29
31
31
31
34
34
34
34
38
39
39
41
41
43
43
43
43
43
48
48
48
North York
Scarborough
Richmond Hill
North York
Vancouver
Markham
Markham
Toronto
London
Waterloo
Calgary
North York
Richmond Hill
Burnaby
New Westminster
Windsor
North York
North York
North York
Surrey
Vancouver
Markham
Toronto
Victoria
Burnaby
Toronto
Markham
Vancouver
Oakville
Etobicoke
Scarborough
West Vancouver
Saskatoon
Moncton
Coquitlam
Mississauga
Waterloo
Richmond Hill
Burnaby
Vancouver
Rockcliffe
Thornhill
Saskatoon
Hamilton
North York
Vancouver
Mississauga
Guelph
Calgary
Port Moody
278
274
273
271
271
270
266
266
265
264
264
262
259
257
257
256
256
255
254
254
253
252
251
251
249
248
248
248
247
247
246
246
246
244
244
244
244
243
242
242
241
241
240
240
240
240
240
239
239
239
Marc Garneau C.I.
Albert Campbell C.I.
Bayview S.S.
A.Y. Jackson S.S.
Sir Winston Churchill S.S.
Unionville H.S.
Bur Oak S.S.
University of Toronto Schools
A.B. Lucas S.S.
Waterloo C.I.
Western Canada H.S.
Earl Haig S.S.
Richmond Hill H.S.
Burnaby North S.S.
New Westminster S.S.
Vincent Massey S.S.
York Mills C.I.
Victoria Park C.I.
Don Mills C.I.
Semiahmoo S.S.
Prince of Wales S.S.
Markville S.S.
Ontario International College
St. Michael's Univ. School
Moscrop S.S.
Branksome Hall
Pierre Elliott Trudeau H.S.
St. George's School
Abbey Park H.S.
Bishop Allen Academy
New Oriental Int'l College
Sentinel S.S.
Walter Murray C.I.
Bernice MacNaughton H.S.
Gleneagle S.S.
Glenforest S.S.
Sir John A. Macdonald S.S.
Langstaff S.S.
Burnaby South S.S.
University Hill S.S.
Ashbury College
Vaughan S.S.
Centennial Collegiate
Columbia Int'l College
Georges Vanier S.S.
Lord Byng S.S.
The Woodlands Sec. School
Centennial C. and V.I.
Centennial H.S.
Port Moody Sr. S.S.
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Name/Nom
School/École
Group I/Groupe I
Scores/Notes 100 - 95
CUI
GUO
SUN
ZHANG
ZHOU
CHENXUAN BOB Semiahmoo S.S.
JENNIFER
Marc Garneau C.I.
KAI
A.B. Lucas S.S.
WALEY
New Westminster S.S.
DANIEL
Centennial Collegiate
Group II/Groupe II
CHEN
FAN
GUO
HALIM
HAN
KANG
LI
QIN
SUN
SUN
TAN
WEI
WENG
XIA
XIONG
YANG
YOU
YU
Grade/Niveau
Surrey
North York
London
New Westminster
Saskatoon
12
12
10
12
11
Richmond Hill
Niagara Falls
North York
Toronto
London
Calgary
Scarborough
Markham
Rothesay
North York
North York
Waterloo
Markham
Vancouver
Calgary
Vancouver
Burnaby
Waterloo
11
12
9
9
12
10
12
12
12
11
12
11
11
12
11
11
10
12
Gloucester
Charlottetown
Markham
Scarborough
Scarborough
North York
North York
Markham
Saskatoon
North York
North York
North York
Etobicoke
Toronto
Richmond Hill
Richmond Hill
London
Toronto
Rockcliffe
Richmond Hill
9
12
12
12
10
12
11
12
11
12
10
12
12
12
10
12
11
12
12
12
Scores/Notes 94 - 92
ZHONGQI
SENBO
THOMAS
HOWARD
CHONG HAO
RICHARD
ROBERT
YAN
LANFENG
LINYIN
XIANG
BEN
YUE
HENRY HENG
RUIMING
RUIZHOU
ALEX
SHUAI
Group III/Groupe III
CHEN
CHENG
CHENG
CHOW
CHOW
CUMMINGS
DE SILVA
DIAO
KIM
LI
LIU
LIU
LIU
LUCHEN
MO
QIAN
SHEN
TANG
WAN
WANG
Location/Endroit
Bayview S.S.
A.N. Myer S.S.
University of Toronto Schools
A.B. Lucas S.S.
Dr. E.P. Scarlett H.S.
Albert Campbell C.I.
Bur Oak S.S.
Rothesay Netherwood School
Victoria Park C.I.
Earl Haig S.S.
Waterloo C.I.
Unionville H.S.
Sir Winston Churchill S.S.
Western Canada H.S.
University Hill S.S.
Burnaby North S.S.
Waterloo C.I.
Scores/Notes 91 - 88
FRANK
JEFFREY
YIHAO
RICHARD
STEVEN
ROBERT
THINULA
JOSEPH
ANDREW
YIKUAN
JEFFREY
QITONG
XURAN
SEAN
GEORGE
WILLIAM
CHARLIE
DONGCHEN
HONGYI
DAVID
Colonel By S.S.
Colonel Gray Sr. H.S
Bur Oak S.S.
Albert Campbell C.I.
Albert Campbell C.I.
A.Y. Jackson S.S.
Marc Garneau C.I.
Unionville H.S.
Walter Murray C.I.
Don Mills C.I.
Marc Garneau C.I.
A.Y. Jackson S.S.
Bishop Allen Academy
University of Toronto Schools
Bayview S.S.
Bayview S.S.
London Dist. Christian S.S.
Toronto Central Academy
Ashbury College
Bayview S.S.
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group III/Groupe III
WANG
XU
YU
YUAN
YUHAO
ZHANG
ZHANG
ZHAO
ZHOU
ZHOU
ZHOU
Scores/Notes 91 - 88
SHUOLIN
CODY
VICTOR
MORGAN
LI
BRANDON
LILLIAN
WILLIAM
CONNIE
DAVID
JINPENG
Group IV/Groupe IV
CAI
CHEN
CHOPRA
DING
FAN
FENG
FENG
FENG
GU
GU
HAN
HE
HESSAMIPILEHRO
HONG
HU
HUANG
HUANG
HUANG
JIA
JIANG
JIN
KANG
LAI
LI
LINDIG
LIU
LIU
LOO
LU
LUO
MAGANTI
MAI
MILOSLAVOV
OHAPKIN
QI
REMOROV
RONG
RUAN
York Mills C.I.
Yorkville International Academ
Marc Garneau C.I.
Bayview S.S.
Seaquam S.S.
Prince of Wales S.S.
Markville S.S.
Richmond Hill H.S.
Branksome Hall
Sir Winston Churchill S.S.
A.Y. Jackson S.S.
North York
Markham
North York
Richmond Hill
Delta
Vancouver
Markham
Richmond Hill
Toronto
Vancouver
North York
12
12
12
12
12
12
12
9
11
12
12
St Catharines
Richmond Hill
Richmond Hill
Etobicoke
Etobicoke
Windsor
Regina
Victoria
Windsor
Vancouver
Ottawa
Markham
North York
Richmond Hill
Mississauga
Richmond Hill
Toronto
Scarborough
Ottawa
Mississauga
Toronto
Calgary
Toronto
Ajax
Richmond Hill
Port Moody
Nepean
Calgary
Toronto
Vancouver
Richmond Hill
Toronto
Saint-Laurent
Thornhill
Guelph
Richmond Hill
North York
Moncton
11
11
11
12
12
11
12
12
12
10
12
12
10
12
12
11
12
12
12
11
11
11
12
12
12
11
12
12
12
11
12
9
13
12
12
10
9
12
Scores/Notes 87 - 84
YUANHUI
YIFEI
PARTH
YUANLI
YUXIN
LEO
YUN
ZIYI
FRANK
WENYUE
KAIBING
YIQIAN
ELNAZ
FRANK
JINWEN
TIANQI
WENTAO
YUJIE
KEVIN
CONGZHI
JIACHENG
QINGYUN
JUSTIN
YUFENG
TILMAN
ESTELLA
KANGMING
NOEL
WEI
ERIC
KAUSHAL
STEVEN
IVAN
YUVAL
SIPU
ANDREY
VICTOR
XINGCHI
Ridley College
Bayview S.S.
Bayview S.S.
Lakeshore C.I.
Silverthorn C.I.
Vincent Massey S.S.
Luther College
St. Michael's Univ. School
Vincent Massey S.S.
Lord Byng S.S.
Glebe Collegiate Institute
Unionville H.S.
Marc Garneau C.I.
Bayview S.S.
Jaya Int'l H.S.
Bayview S.S.
Ontario International College
Stephen Leacock C.I.
Lisgar C.I.
Mentor College
Upper Canada College (Upper Sc
Centennial H.S.
Northern S.S.
J. Clarke Richardson C.I.
Richmond Hill H.S.
Heritage Woods Secondary
Bell H.S.
Western Canada H.S.
Ontario International College
University Hill S.S.
Bayview S.S.
University of Toronto Schools
Vanier College
Vaughan S.S.
Centennial C. and V.I.
St. Theresa of Lisieux C.H.S.
Marc Garneau C.I.
Bernice MacNaughton H.S.
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group IV/Groupe IV
SHAN
SONG
SONG
SU
TANG
TANG
TONG
TONG
TU
WANG
WANG
WANG
WANG
WANG
WANG
WANG
WEN
WEN
WU
WU
WU
XIAO
XINYU
XU
XUEMING
YANG
YOU
YU
ZENG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHOU
ZHUO
Scores/Notes 87 - 84
YINGCHAO
JOHN
ZHIYE
BUXIN
JEFFERY
SAIDI
DANIEL
XUANYI
TONY
CHUNLU
DUANYANG
PEI
SEAN
VICTOR
YING
YUBO
HENRY
JIANYU
LUCY
PETER
YUXIN
ALICE
JIAO
JUNRAN
ZHAO
ALICIA
QIZHE
DANQIAO
ANDERSON
JAMES
JERRY
JUNYA LILY
LEYAO
SONGQING
VICKY
YIQUN
BOAN
MICHAEL
WEIXI
Group V/Groupe V
AARON
BAN KIM
BAO
CEN
CHANG
CHEN
CHEN
CHEN
CHEN
CHENG
Richmond Hill H.S.
White Oaks S.S.
Langstaff S.S.
Sentinel S.S.
New Westminster S.S.
Bishop Allen Academy
University of Toronto Schools
St. Michael's Univ. School
Moscrop S.S.
Columbia Int'l College
Hillfield-Strathallan Coll. H.
Ashbury College
Point Grey S.S.
Sir Winston Churchill S.S.
York Mills C.I.
Leo Hayes H.S.
Burnaby South S.S.
St. Thomas Aquinas H.S.
Albert Campbell C.I.
Richmond Hill H.S.
Marianopolis College
Glenlyon Norfolk School
Western Canada H.S.
Aurora H.S.
Dewey College
John Fraser S.S.
Abbey Park H.S.
Gleneagle S.S.
Shawnigan Lake School
Port Moody Sr. S.S.
Don Mills C.I.
Earl Haig S.S.
The Westside School
Georges Vanier S.S.
Earl Haig S.S.
Marc Garneau C.I.
St. George's School
Sir John A. Macdonald S.S.
Unionville H.S.
Richmond Hill
Oakville
Richmond Hill
West Vancouver
New Westminster
Etobicoke
Toronto
Victoria
Burnaby
Hamilton
Hamilton
Rockcliffe
Vancouver
Vancouver
North York
Fredericton
Burnaby
Oakville
Scarborough
Richmond Hill
Westmount
Victoria
Calgary
Aurora
Mississauga
Mississauga
Oakville
Coquitlam
Shawnigan Lake
Port Moody
North York
North York
Vancouver
North York
North York
North York
Vancouver
Waterloo
Markham
12
11
12
11
11
11
12
11
11
12
11
11
9
10
12
12
11
12
11
10
12
11
11
12
12
12
10
12
11
12
12
12
11
11
12
12
12
11
11
Richmond
Toronto
Richmond Hill
Winnipeg
London
North York
Vancouver
North York
Markham
West Vancouver
12
12
10
12
11
12
11
12
11
11
Scores/Notes 83 - 80
ZHOU
MATTHEW
JERRY
ZINAN
ZIHENG
GUANZHONG
JEFFREY
LINGTING
WEIXI
RUO TONG
Steveston London S.S.
University of Toronto Schools
Bayview S.S.
Kelvin H.S.
London Central S.S.
Don Mills C.I.
Royal Crown Academic School
Milliken Mills H.S.
Sentinel S.S.
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
CHO
CHRISTINA
DING
DONG
E
FAN
FANG
GAO
GUO
GUPTA
GUPTA
HAQUE
HONG
HOU
HU
HU
IM
JI
JIANG
JIANG
JUNG
KANG
KIM
KOO
KROKHINE
KUO
LE
LEE
LEE
LEE
LI
LI
LI
LI
LI
LI
LI
LI
LI
LIAO
LIN
LIN
LIN
LIU
LIU
LIU
LU
LU
LU
LUO
LUO
LUO
Scores/Notes 83 - 80
YOUNG
WANG
LIANG
RUOCHONG
XIAOMENG
XUEFEI
GE
YUANPEI
HAOWEI
MEHUL
SASWATA
SAMINUL
KAILIN
CHUYI
ANJUN
HANJING
YUNA
SHICHEN
EDWARD
JAMES
YESUNG
NING
AMY
MARTIN
ANNA
TAI YUAN
MINH
ERIC
HYEOK JUN
JULIETTE
BEIQI
BILL
DAILIN
EN XU
JACK
LIVIA
MENGYUAN
SAM
YILIN
YONGXIAN
HENRY
REX
STEVEN
IVON
MENGFEI
YICHUN
RYAN
YU SHEN
ZEEN
ANDREW
EDWARD
TIAN
Moscrop S.S.
Garth Webb S.S.
London Int'l Academy
Abbey Park H.S.
Unionville H.S.
Pierre Elliott Trudeau H.S.
Braemar College
Ontario International College
New Oriental Int'l College
The Woodlands Sec. School
Glenforest S.S.
The Woodlands Sec. School
Sir Winston Churchill S.S.
Bur Oak S.S.
Rockridge S.S.
St. Thomas Aquinas H.S.
Bernice MacNaughton H.S.
Campbell C.I.
Moscrop S.S.
Moscrop S.S.
Richmond Green S.S.
Markville S.S.
University of Toronto Schools
University of Toronto Schools
University of Toronto Schools
A.Y. Jackson S.S.
UMC H.S.
Bur Oak S.S.
Westdale S.S.
Seaquam S.S.
Burnaby North S.S.
Richmond Hill H.S.
Don Mills C.I.
Glenforest S.S.
St. George's School
Sir John A. Macdonald S.S.
Georges Vanier S.S.
Michael Power-St Joseph
Handsworth S.S.
Earl Haig S.S.
Burnaby Central S.S.
Richmond Hill H.S.
Moscrop S.S.
Abbey Park H.S.
The Westside School
Burnaby South S.S.
L.V. Rogers S.S.
York Mills C.I.
Fleetwood Park S.S.
Fraser Heights S.S.
St. George's School
Burnaby
Oakville
London
Oakville
Markham
Markham
Toronto
Toronto
Scarborough
Mississauga
Mississauga
Mississauga
Vancouver
Markham
West Vancouver
North Vancouver
Moncton
Regina
Burnaby
Burnaby
Richmond Hill
Markham
Toronto
Toronto
Toronto
North York
Toronto
Markham
Hamilton
Delta
Burnaby
Richmond Hill
North York
Mississauga
Vancouver
Waterloo
North York
Vancouver
Etobicoke
North Vancouver
North York
Burnaby
Richmond Hill
Burnaby
Oakville
Vancouver
Burnaby
Nelson
North York
Surrey
Surrey
Vancouver
12
12
12
11
12
12
12
12
12
12
12
12
11
11
11
12
12
12
11
11
12
12
11
10
9
12
12
12
11
11
12
11
12
11
10
12
12
10
11
10
11
12
12
12
12
11
12
12
12
10
11
11
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
MA
MENG
MENG
MENG
MIN
MOSSERI
NI
NI
NIU
PANG
POTAPTCHIK
QIAN
QIN
RAMPURE
SHEN
SHENG
SOH
TO
WANG
WANG
WANG
WANG
WANG
WEI
WEI
WEN
WU
XIA
XIANG
XU
XU
XU
YANG
YANG
YANG
YANG
YE
YU
YU
YU
YU
YUEN
ZENG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHAO
ZHAO
ZHAO
ZHENG
Scores/Notes 83 - 80
FRANK
JERRY
JESSE
LEO
ELLEN
JACOB
CATHERINE
JIAHUI
JEFF
LAWRENCE
PETER
ZHIWEI
HARVEY
SURAJ
JINHUI
TONY
GREGORY
DEIFILIA
PATRICK
PEIHUA
SHANE
YESHENG
YINRU
DANIEL
YIJIE
WILLIAM
JIAYING
SIYUAN
SURI
KELVIN
YUJIA
ZHAOYI
LUFEI
PEI
TIANCHENG
ZERUN
XINYI
DANIEL
JIHANG
SHILONG
XI
JASON
YUE
JIAHE
QIYAN
YALEI
ZHAOWEI
JEFFREY
RUIZHI
YAQI
ZIYI
BILL
St. George's School
Gleneagle S.S.
Victoria Park C.I.
Don Mills C.I.
Holy Trinity C.S.S.
Lower Canada College
Hugh McRoberts S.S.
Lillian Osborne H.S.
Newmarket H.S.
Marc Garneau C.I.
Lorne Park S.S.
South Delta S.S.
Sir Winston Churchill H.S.
Vincent Massey S.S.
Ontario International College
St. John's-Ravenscourt School
Thornhill S.S.
Marc Garneau C.I.
Iroquois Ridge H.S.
Prince of Wales S.S.
Sir Winston Churchill S.S.
Bayview S.S.
London Int'l Academy
Walter Murray C.I.
Sir Charles Tupper S.S.
Pierre Elliott Trudeau H.S.
Branksome Hall
Old Scona Academic H.S.
Semiahmoo S.S.
Westdale S.S.
Gleneagle S.S.
Esquimalt High School
Crestwood Prep. College
New Oriental Int'l College
Taie Int'l Institute
The Woodlands Sec. School
Langstaff S.S.
Earl Haig S.S.
Markville S.S.
William Lyon Mackenzie C.I.
Bayview S.S.
Pierre Elliott Trudeau H.S.
Sentinel S.S.
Mcdonald Int'l Academy
Notre Dame C.H.S.
Vincent Massey S.S.
Bishop's College School
Vincent Massey S.S.
Tommy Douglas Collegiate
Sentinel S.S.
Toronto Central Academy
Richmond Green S.S.
Vancouver
Coquitlam
North York
North York
Oakville
Montreal
Richmond
Edmonton
Newmarket
North York
Mississauga
Delta
Calgary
Windsor
Toronto
Winnipeg
Thornhill
North York
Oakville
Vancouver
Vancouver
Richmond Hill
London
Saskatoon
Vancouver
Markham
Toronto
Edmonton
Surrey
Hamilton
Coquitlam
Victoria
North York
Scarborough
Toronto
Mississauga
Richmond Hill
North York
Markham
North York
Richmond Hill
Markham
West Vancouver
Toronto
Toronto
Windsor
Sherbrooke
Windsor
Saskatoon
West Vancouver
Toronto
Richmond Hill
10
11
12
12
11
12
11
12
12
11
10
12
12
12
12
9
12
12
12
11
11
12
12
9
12
11
12
12
12
11
11
12
12
12
12
12
12
12
12
10
12
11
12
12
12
12
12
12
12
12
12
12
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
ZHENG
ZHONG
ZHOU
ZHOU
ZHOU
ZHU
ZHU
ZOU
Scores/Notes 83 - 80
QIYUN
WEIWEI
HONGJIAN
JIULING
RENAUISHIHUI
RONGRONG
YUXIN
ALVIN
Holy Cross C.S.S.
Glenforest S.S.
Appleby College
Burnaby North S.S.
St. Benedict C.S.S.
New Oriental Int'l College
New Oriental Int'l College
Prince of Wales S.S.
Kingston
Mississauga
Oakville
Burnaby
Cambridge
Scarborough
Scarborough
Vancouver
12
12
11
11
12
12
12
9
2016
Euclid Contest/Concours Euclide
Team Honour Roll/Palmarès d'équipes
International
Rank/Rang School/École
City/Ville
Score/Note
1
1
3
4
5
5
5
5
9
9
11
11
13
14
14
14
17
17
19
20
21
21
21
24
24
24
24
28
29
29
31
32
33
34
35
35
37
37
37
37
37
42
43
43
45
45
45
48
48
50
50
DaLian
Troy
Zamboanga City
Nanjing
Nanjing Jiangsu
Shanghai
Shenyang
Beijing
Chengdu
Shanghai
Shenzhen Guangdong
Wuhan Hubei
Beijing
Qingdao Shandong
Tianjin
Tangerang
Shanghai
Singapore
Hangzhou Zhejiang
Guangzhou Guangdong
Surabaya
Shenzhen
Wuxi Jiangsu
Dalian
Shanghai
Beijing
Zhengzhou
Singapore
Ningbo
Shanghai
Dalian
Jinan
Chongqing
Beijing
Wuxi Jiangsu
Tianjin
Hyderabad
Changchun
Quezon City
Shanghai
Suzhou
Dalian Jinshitan
Yubei
Shanghai
Beijing
Shanghai
Selangor Darul Ehsan
Suzhou
Shenzhen Guangdong
Chengdu
Shenzhen
286
286
282
277
274
274
274
274
273
273
269
269
268
267
267
267
266
266
265
264
262
262
262
261
261
261
261
260
259
259
258
257
256
255
254
254
253
253
253
253
253
252
251
251
250
250
250
248
248
247
247
DaLian Zhongshan Stanford Lang. Train. S
ICAE
Math Trainers Guild of Philippines
British Columbia Academy
H.S. Affiliated to Nanjing Normal Uni.
No. 2 H.S. att. to East China Normal Uni
Rosedale Academy-Shenyang
UW - Beijing
Chengdu Shude Senior H.S.
High School aff. to Shanghai Jiao Tong U
Shenzhen Col. of Inter. Education
WHBC of Wuhan Foreign Lang. Sch.
Beijing No.4 High School International C
Qingdao Pennon Foreign Language School
Rosedale Academy Tianjin
Surya Institute
Cambridge Int'l Ctr. of Shanghai Normal
National Junior College
Hangzhou Foreign Language School
The Affiliated H.S. of South China Norma
SMA Kristen Petra 2
Shenzhen Senior H.S.
Wuxi No1 H.S
Dalian No. 24 High School
Shanghai Weiyu H.S
The H.S. Affiliated to Renmin Uni. of Ch
Zhengzhou Foreign Language School
Anglo-Chinese Junior College
Ningbo Foreign Language School
Shanghai Pinghe School
Dalian Ealing Int'l College
Jinan Foreign Language School
Chongqing Nankai S. S.
Beijing National Day School
Jiangsu Tianyi H.S.
Tianjin No.1 High School
Fiitjee Junior College
High School att'd to Northeast Normal Un
Philippine Science High School
Shanghai Guanghua College-Fudan Campus
Suzhou High School
Dalian Maple Leaf Int'l School-Boys' Cam
Chongqing No.1 International Studies Sc
YK Pao School
National Institute of Technology
Shanghai World Foreign Language M.S.
Sunway College-Canadian Int'l Mat. Progr
SIP Dulwich College United School
Shenzhen Experimental School
Chengdu No 7 H. S. (Gaoxin Campus)
Shenzhen Foreign Language School
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Name/Nom
School/École
Group I/Groupe I
Scores/Notes 100 - 97
BHATTACHARYA
PATUPAT
WANG
ZHANG
ZHAO
ANKAN
ALBERT JOHN
YUHAN
ZHENYUAN
FREDDIE
Group II/Groupe II
CHONG
CHRISTIAN
DULAY
HU
HU
JIANG
LI
LUO
WAHYUDI
YANG
ZENG
ZHANG
ZHANG
ZHANG
ZHAO
Grade/Niveau
Troy
Zamboanga City
DaLian
Shenyang
Troy
11
10
11
12
9
Zamboanga City
Surabaya
Quezon City
Guangzhou Guangdong
Shanghai
Nanjing Jiangsu
Nanjiing
Guangzhou
Tangerang
Chengdu
Shenzhen Guangdong
DaLian
Zhengzhou
Nanjing
Shenzhen
9
12
10
10
12
11
11
11
11
11
10
10
11
11
11
Surabaya
Beijing
Nanjiing
Ningbo
Shanghai
Surabaya
Shanghai
Changchun
Wuhan Hubei
Beijing
Nanjiing
Shanghai
Shenzhen
Shanghai
Bangalore
Shanghai
Tehran
Subang Jaya Selangor
Hangzhou
Shanghai
Shenzhen
Zamboanga City
Shanghai
12
12
11
11
11
12
11
11
11
11
11
10
11
11
12
12
12
12
12
11
11
10
10
Scores/Notes 96 - 93
JINGER
STEVANS
KYLE PATRICK
YUTIAN
ZHIQING
TIANXING
ZIHAO
JINGNING
TIMOTHY J
ZIXIAO
ZHENGTAO
HAN ZHI
QIWEI
SHUANGYI
YANGRONG
Group III/Groupe III
ANDRIANI
CAI
CHEN
HE
HONG
JUDOKUSUMO
LI
LI
LIU
LIU
LU
LU
LYU
MA
NEERAJE
RUNDI
SAMIEE
SATHYANARAYANA
SHEN
TAO
WANG
WANG
WANG
ICAE
Math Trainers Guild of Philippines
DaLian Zhongshan Stanford Lang. Tra
Rosedale Academy-Shenyang
ICAE
Location/Endroit
Math Trainers Guild of Philippines
SMA Kristen Petra 2
Philippine Science High School
The Affiliated H.S. of South China
UW Shanghai
H.S. Affiliated to Nanjing Normal U
Jinling H.S.
Guangzhou Zhixin High School
Surya Institute
Chengdu Shude Senior H.S.
Shenzhen Col. of Inter. Education
DaLian Zhongshan Stanford Lang. Tra
Zhengzhou Foreign Language School
British Columbia Academy
Shenzhen Senior H.S.
Scores/Notes 92 - 90
FRANSISCA
MINGXUAN
YUHAO
YIJUN
HAOYUN
APRILLIA
HANGXIN
YIXUAN
NIANCHEN
SHUKAI
JINGYI
YAO
RUNHE
JIAJIE
VISHAL
ZHOU
ALIREZA
RAAMAMURTHY
MAOHAO
CHAOFAN
KAIXIN
STEVEN JOHN
XIAOFEI
SMA Kristen Petra 2
UW - Beijing
Jinling H.S.
Ningbo Foreign Language School
High School aff. to Shanghai Jiao T
Intan Permata Hati
YK Pao School
High School att'd to Northeast Norm
WHBC of Wuhan Foreign Lang. Sch.
Beijing No.4 High School Internatio
Jinling H.S.
No. 2 H.S. att. to East China Norma
Shenzhen M.S.
High School aff. to Shanghai Jiao T
Aecs Magnolia Maaruti P.S.
High School aff. to Shanghai Jiao T
Young Mathematician Association
Taylor's College - Subang Jaya Camp
Hangzhou New Century Foreign Langua
No. 2 H.S. att. to East China Norma
Shenzhen M.S.
Math Trainers Guild of Philippines
No. 2 H.S. att. to East China Norma
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group III/Groupe III
XIA
XIANG
XU
YANG
YAO
YAXIN
YE
YIN
YU
ZHAN
ZHANG
ZHANG
ZHANG
ZHANG
ZHENG
ZHU
Scores/Notes 92 - 90
YIQING
KAIDI
MINGJIAN
XIAO FENG
TIANHAO
TAN
HAOYU
JIAMING
ZHILE
YINTIAN
LIYANG
SHAOJIE
TONGXIN
YUXIU
HANTANG
WENCHANG
Group IV/Groupe IV
ANG
ARORA
CHEN
CHEN
CHI
DENG
DING
DU
FEI
GE
GUO
HE
HOU
HU
HUANG
JIN
JIN
KALAKOTI
LIN
LIN
LIU
LIU
MA
MA
MAO
MEN
MERE HIDALGO
NI
PAN
QIAN
RAO
SHEN
SOON KEAT
H.S. Affiliated to Nanjing Normal U
Cambridge Int'l Ctr. of Shanghai No
Dalian Ealing Int'l College
DaLian Zhongshan Stanford Lang. Tra
No. 2 H.S. att. to East China Norma
Chengdu Shude Senior H.S.
Shenzhen M.S.
H.S. Affiliated to Nanjing Normal U
Shenzhen M.S.
British Columbia Academy
UW - Beijing
National Junior College
WHBC of Wuhan Foreign Lang. Sch.
British Columbia Academy
UW - Beijing
Wuhan Foreign languages School
Nanjing Jiangsu
Shanghai
Dalian
DaLian
Shanghai
Chengdu
Shenzhen
Nanjing Jiangsu
Shenzhen
Nanjing
Beijing
Singapore
Wuhan Hubei
Nanjing
Beijing
Wuhan
10
12
11
11
10
11
11
12
11
11
11
12
11
11
11
12
Selangor Darul Ehsan
Troy
Shanghai
Singapore
Shanghai
Nanjiing
Nanjing
Beijing
Qingdao Shandong
Beijing
Shenyang
Beijing
Shanghai
Nanjiing
Guangzhou Guangdong
Shanghai
Shenzhen
Hyderabad
Hangzhou Zhejiang
Hangzhou Zhejiang
Zhangjiagang
Nanjing
Beijing
Shanghai
Zhangjiagang
Singapore
Queretaro
Shenzhen
Nanjing
Hangzhou Zhejiang
Shanghai
Wuxi Jiangsu
Singapore
12
9
11
12
12
11
12
11
10
12
11
12
12
11
10
10
11
12
11
11
11
12
12
11
10
9
12
10
11
11
11
11
12
Scores/Notes 89 - 88
YI FANG
AJAY
YIZHI
ZIXIN
ZHANG
ZIRUI
YUE
FANG
YANNAN
ERIC
JIACHENG
MUYANG
KAIWEN
YUE
LIHUI
RENJIE
ZEYU
GIRIJA MANOJ
JIASHENG
ZHEYUAN
DINGZHOU
RUOYUAN
XUEGUANG
YIZHOU
YIFAN
CHENGKAI
PABLO
BAO YI
ZICEN
JIAYI
ZEXI
HAO
TAN
Sunway College-Canadian Int'l Mat.
ICAE
Shanghai Weiyu H.S
Anglo-Chinese School (Independent)
Shanghai Weiyu H.S
Jinling H.S.
British Columbia Academy
Beijing No.4 High School Internatio
Qingdao Pennon Foreign Language Sch
The H.S. Affiliated to Renmin Uni.
Rosedale Academy-Shenyang
The H.S. Affiliated to Renmin Uni.
High School aff. to Shanghai Jiao T
Jinling H.S.
The Affiliated H.S. of South China
Cambridge Int'l Ctr. of Shanghai No
Shenzhen M.S.
Fiitjee Junior College
Hangzhou Foreign Language School
Hangzhou Foreign Language School
Zhangjiagang Ivy Experimental H.S.
British Columbia Academy
UW - Beijing
UW Shanghai
Zhangjiagang Ivy Experimental H.S.
Anglo-Chinese School (Independent)
ITESM Campus Queretaro
Shenzhen Senior H.S.
British Columbia Academy
Hangzhou Foreign Language School
High School aff. to Shanghai Jiao T
Jiangsu Tianyi H.S.
St Joseph's Institution
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group IV/Groupe IV
SUN
TAN
TIAN
TONG
WAHYUDI
WANG
WANG
WANG
WEN
WU
XIA
XIAO
YANG
YANG
YU
YU
YUAN
YUAN
YUTONG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHONG
ZHOU
ZHOU
ZHOU
ZHOU
ZHU
ZHU
ZHU
ZHU
Scores/Notes 89 - 88
RUIPU
BINKAI
WANGSEN
BOYUAN
WILLIAM
SHOUQIAO
TIANHAO
XINAN
YUXIAO
CHENGBEIER
JERRY
GENGYANG
CHENXIN
YUNHAN
ANNAN
HAORAN
JIAMING
YUJIA
CAI
TIANYU
YIBIN
YIM U
YINGQI
ZHEFAN
XIRUI
LINGXI
LUNSHI
QIANYE
ZIHAN
DIWEN
JINGHAN
WANTING
WEIHAN
Group V/Groupe V
AN
BAWEJA
BERNARDO
CAI
CAI
CHAN
CHE
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHI
CONG
DONG
Shanghai World Foreign Language M.S
UW - Beijing
Chongqing Foreign Language School
H.S. Affiliated to Nanjing Normal U
Anglo-Chinese School (Independent)
Rosedale Academy Tianjin
UW Shanghai
Dalian No. 24 High School
Shenzhen M.S.
Qingdao Pennon Foreign Language Sch
Suzhou High School
Rosedale Academy Tianjin
Chengdu Shude Senior H.S.
Qingdao Pennon Foreign Language Sch
Hangzhou New Century Foreign Langua
National Junior College
Ningbo Foreign Language School
Wuxi No1 H.S
Anglo-Chinese Junior College
Chengdu Shude Senior H.S.
Hangzhou New Century Foreign Langua
Qingdao Pennon Foreign Language Sch
Tianjin No.1 High School
WHBC of Wuhan Foreign Lang. Sch.
British Columbia Academy
UW - Beijing
Chongqing Nankai S. S.
Jinling H.S.
Rosedale Academy Tianjin
WHBC of Wuhan Foreign Lang. Sch.
H.S. Affiliated to Nanjing Normal U
WHBC of Wuhan Foreign Lang. Sch.
UW Shanghai
Shanghai
Beijing
Chongqing
Nanjing Jiangsu
Singapore
Tianjin
Shanghai
Dalian
Shenzhen
Qingdao Shandong
Suzhou
Tianjin
Chengdu
Qingdao Shandong
Hangzhou
Singapore
Ningbo
Wuxi Jiangsu
Singapore
Chengdu
Hangzhou
Qingdao Shandong
Tianjin
Wuhan Hubei
Nanjing
Beijing
Chongqing
Nanjiing
Tianjin
Wuhan Hubei
Nanjing Jiangsu
Wuhan Hubei
Shanghai
11
12
12
11
9
10
13
11
11
11
11
10
11
13
11
12
11
11
11
10
11
10
12
11
12
12
10
12
10
11
10
11
11
Suzhou
Delhi
Zamboanga City
Shanghai
Nanjing
Singapore
Qingdao Shandong
Nanjiing
Nanjiing
Shenzhen
Hangzhou Zhejiang
Beijing
Shanghai
Nanjing
Shanghai
Beijing
11
11
10
12
11
12
11
11
10
12
11
12
11
12
11
12
Scores/Notes 87 - 86
ZERUI
ANUBHAV
LUKE
KEWEN
YUYAN
JENSEN
YUXUAN
KEN
QIANFAN
SHUHAN
SIJUN
YI
YUXIN
ZINAN
YEZHEN
MINGDA
Suzhou High School
UW Delhi
Math Trainers Guild of Philippines
UW Shanghai
Nanjing Foreign Language School
Anglo-Chinese School (Independent)
Qingdao Pennon Foreign Language Sch
Jinling H.S.
Jinling H.S.
Shenzhen M.S.
Hangzhou Foreign Language School
U-Link College of Beijing
No. 2 H.S. att. to East China Norma
British Columbia Academy
No. 2 H.S. att. to East China Norma
UW - Beijing
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group V/Groupe V
DU
FAN
FENG
HAO
HE
HOU
HU
HU
HU
HU
HUANG
HUANG
JIAO
JIN
KANG
LI
LI
LI
LI
LI
LI
LI
LI
LI
LIAN
LIN
LIU
LIU
LIU
LIU
LIU
LU
LU
LUO
LUO
MA
MAYER
PAN
PANDIT
QI
QIAN
QU
REN
SEKHON
SUMENDAP
SUN
SUN
SUN
SUN
THAVAMANI
TORRES
WANG
Scores/Notes 87 - 86
JIANHANG
JIXIAN
ZHAOYU
HAO
MUYU
ZHENGHAO
PEIYAN
QITIAN
RUNYU
YUXI
JIAN
WENJING
JIE
CHEN
YU
FANGZHENG
LUN
MINGXI
SIYAN
YANJIA
YIFEI
YILINN
ZHAOWEI
ZIQI
JIAN
XIAOYUE
CUNHAO
JINZHE
MENGZHENH
MOXUAN
SHIZI
HANTAO
SHUANGYING
RUOFAN
YIQIU
JIALIANG
MOSES
YUXIN
KARTIK
HONGRU
YIXIN
AOHAN
YUNFEI
SENAN
WILLIAM
CHUYUE
HAO
HAORAN
YI
CHITTESH
VINCE JAN
HAOYU
Rosedale Academy-Shenyang
National Institute of Technology
National Institute of Technology
Qingdao Pennon Foreign Language Sch
Chengdu No 7 H. S. (Gaoxin Campus)
UW Shanghai
Nanjing Foreign Language School
Shanghai Pinghe School
Shanghai Pinghe School
Qingdao Pennon Foreign Language Sch
WHBC of Wuhan Foreign Lang. Sch.
Rosedale Academy-Shenyang
Zhangjiagang Ivy Experimental H.S.
Hangzhou Foreign Language School
UW - Beijing
Shenzhen M.S.
Hangzhou New Century Foreign Langua
Qingdao Pennon Foreign Language Sch
Hangzhou Foreign Language School
UW Shanghai
Qingdao Pennon Foreign Language Sch
Shenzhen M.S.
Nanjing Foreign Language School
Jinan Foreign Language School
UW - Beijing
Maple Leaf Int'l Sch. – Shanghai
Chengdu Shude Senior H.S.
Zhengzhou Foreign Language School
Beijing National Day School
Beijing No.4 High School Internatio
Shenzhen M.S.
Wuxi No1 H.S
Qingdao Pennon Foreign Language Sch
Chengdu Shude Senior H.S.
Nanjing Foreign Language School
Shenzhen Col. of Inter. Education
Surya Institute
Dalian Maple Leaf Int'l School - Gi
Indian School Al Ghubra
Canada Shandong S.S.
UW Shanghai
National Junior College
Rosedale Academy Tianjin
Anglo-Chinese Junior College
Surya Institute
British Columbia Academy
Chongqing Nankai S. S.
Nanjing Foreign Language School
Shanghai Pinghe School
ICAE
Math Trainers Guild of Philippines
UW - Beijing
Shenyang
Beijing
Beijing
Qingdao Shandong
Chengdu
Shanghai
Nanjing
Shanghai
Shanghai
Qingdao Shandong
Wuhan Hubei
Shenyang
Zhangjiagang
Hangzhou Zhejiang
Beijing
Shenzhen
Hangzhou
Qingdao Shandong
Hangzhou Zhejiang
Shanghai
Qingdao Shandong
Shenzhen
Nanjing
Jinan
Beijing
Shanghai
Chengdu
Zhengzhou
Beijing
Beijing
Shenzhen
Wuxi Jiangsu
Qingdao Shandong
Chengdu
Nanjing
Shenzhen Guangdong
Tangerang
Dalian Jinshitan
Muscat Sultanate of
Taian
Shanghai
Singapore
Tianjin
Singapore
Tangerang
Nanjing
Chongqing
Nanjing
Shanghai
Troy
Zamboanga City
Beijing
10
12
12
11
10
12
11
10
10
10
11
12
10
11
11
11
11
11
11
12
10
11
11
11
12
12
12
11
10
11
11
11
11
12
11
11
9
12
12
12
11
12
11
11
11
11
11
11
10
10
10
11
2016
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group V/Groupe V
WANG
WANG
WANG
WANG
WANG
WANG
WEI
WEI
WEN
WU
WU
WU
XIE
XING
XU
YANG
YANG
YAO
YAO
YAO
YU
YU
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHAO
ZHENG
ZHOU
ZHOU
ZHOU
ZHOU
ZHOU
ZHU
ZHUO
ZUO
ZUO
Scores/Notes 87 - 86
KEHAN
RUIYING
SHUHANG
WENZHONG
YIKAI
YIXIAO
KUNLUN
YUAN
XIN
SHENHAN
YUCAN
ZHENGXUN
HONGSHENG
RUOFAN
XUANHUANG
YANG
YANRUI
LUHAN
RUIYANG
XINYU
PINGAN
SHUAI
JUNGE
SHUAIPENG
ZHIJIA
ZIYI
ZHONGWEI
ZIHAN
JIANQIAO
BAIGE
XIANYA
YIJIE
ZEXI
ZIZHUANG
XIAOHA N
YUNPENG
XIAOMENG
XIAOTONG
Nanjing Foreign Language School
British Columbia Academy
Qingdao Pennon Foreign Language Sch
UW Shanghai
Rosedale Academy Tianjin
High School aff. to Shanghai Jiao T
Nanjing Foreign Language School
High School aff. to Shanghai Jiao T
Dalian No. 24 High School
Hangzhou Foreign Language School
British Columbia Academy
Nanjing Foreign Language School
Jinling H.S.
Henan Experimental High School
Jinling H.S.
H.S. Affiliated to Nanjing Normal U
No. 2 H.S. att. to East China Norma
Chengdu Shude Senior H.S.
WHBC of Wuhan Foreign Lang. Sch.
Shanghai Guanghua College-Fudan Cam
Wuxi No1 H.S
Cambridge Int'l Ctr. of Shanghai No
Jinan Foreign Language School
Qingdao Pennon Foreign Language Sch
Qingdao Pennon Foreign Language Sch
No. 2 H.S. att. to East China Norma
Chengdu Shude Senior H.S.
Rosedale Academy-Shenyang
Confucius International School Qing
Rosedale Academy-Shenyang
UW - Beijing
Changzhou Sr. H.S. of Jiangsu Provi
Zhangjiagang Ivy Experimental H.S.
H.S. Affiliated to Nanjing Normal U
Jiangsu Tianyi H.S.
Shenzhen Col. of Inter. Education
Beijing National Day School
Shenzhen Concord College of Sino-Ca
Nanjing
Nanjing
Qingdao Shandong
Shanghai
Tianjin
Shanghai
Nanjing
Shanghai
Dalian
Hangzhou Zhejiang
Nanjing
Nanjing
Nanjiing
Zhengzhou-Henan Prov
Nanjiing
Nanjing Jiangsu
Shanghai
Chengdu
Wuhan Hubei
Shanghai
Wuxi Jiangsu
Shanghai
Jinan
Qingdao Shandong
Qingdao Shandong
Shanghai
Chengdu
Shenyang
Shandong
Shenyang
Beijing
Changzhou
Zhangjiagang
Nanjing Jiangsu
Wuxi Jiangsu
Shenzhen Guangdong
Beijing
Nashan District Shen
12
12
11
11
9
11
11
10
12
11
11
11
11
12
10
11
10
12
11
11
11
12
11
10
11
11
12
11
11
10
12
12
10
11
11
10
12
10
Unofficial Results
Résultats non-officiels
UNOFFICIAL STUDENTS AT SCHOOLS IN CANADA /
ÉLÈVES NON-OFFICIEL DANS LES ÉCOLES AU CANADA
SCORES / NOTES 100 - 80
Name/Nom
BAO
BI
CAO
CARLON
CHEN
CHEN
CHEN
ELENDT
FU
FU
GUO
HONG
HURST
JIANG
KANG
LEI
LIAN
LI
LIN
LI
LI
LU
MA
MA
NIU
QIAN
RUOSEN
SHAN
SHAO
SHI
SHI
SONG
SUN
TANG
WANG
WANG
WANG
WANG
WANG
WU
XU
YANG
YAN
YAN
YAO
YI
YING
YITONG
ZHANG
ZHANG
XINBO
DIANE
XUEDI
LYU
BINWEI
CHUCHI
DAOYOU
ERICH
JIAQI
ZHENGKAI
SHUTING
YUSHU
ROB
LI
DAVID
CHEN XU
XIN
JINGLIN
ANDREW
YAN
YAO
JIANYI
MAVIS
YOLANDA
HUILIN
ERJUN
GAO
WENQI
YUXUAN
JANE
XIRAN
XINLU
ZHENYU
YIXIN
JIAQI
SHIYING
VIKI
XIN
YI JIE
YUQI
WENLIN
RUIXUAN
JUN
RUOMEI
YUWEI
JEONGSEOP
NINGXIN
XIAO
JIAYI
JULIA
School/École
Sir Winston Churchill S.S.
Havergal College
Bond Academy/Bond Int’l College
Fraser Heights S.S.
WillowWood School
Elite Academic School
London Int’l Academy
University of Toronto Schools
Iroquois Ridge H.S.
Royal Crown Academic School
Bond Academy/Bond Int’l College
Columbia Int’l College
Medway H.S.
Bur Oak S.S.
Iroquois Ridge H.S.
Don Mills C.I.
Imperial College Of Toronto
Rockridge S.S.
University Hill S.S.
Bronte College Of Canada
Stelly’s School
Royal Elite Int’l Academy
Langstaff S.S.
University Hill S.S.
Richmond Green S.S.
Imperial College Of Toronto
Columbia Int’l College
Markville S.S.
Corpus Christi C.S.S.
Sir Winston Churchill H.S.
Appleby College
Columbia Int’l College
London Int’l Academy
Taie Int’l Institute
Taie Int’l Institute
SuOn International Academy
Unionville H.S.
London Int’l Academy
The Woodlands Sec. School
Walter Murray C.I.
SuOn International Academy
Imperial College Of Toronto
Columbia Int’l College
New Westminster S.S.
Can-Lakeshore Academy
Waterloo C.I.
Burnaby North S.S.
Guelph C. and V.I.
Don Mills C.I.
Georges Vanier S.S.
Location/Endroit
Vancouver, BC
North York, ON
Scarborough, ON
Surrey, BC
North York, ON
Toronto, ON
London, ON
Toronto, ON
Oakville, ON
North York, ON
Scarborough, ON
Hamilton, ON
Arva, ON
Markham, ON
Oakville, ON
North York, ON
Etobicoke, ON
West Vancouver, BC
Vancouver, BC
Mississauga, ON
Saanichton, BC
St. Catherines, ON
Richmond Hill, ON
Vancouver, BC
Richmond Hill, ON
Etobicoke, ON
Hamilton, ON
Markham, ON
Burlington, ON
Calgary, AB
Oakville, ON
Hamilton, ON
London, ON
Toronto, ON
Toronto, ON
Etobicoke, ON
Markham, ON
London, ON
Mississauga, ON
Saskatoon, SK
Etobicoke, ON
Etobicoke, ON
Hamilton, ON
New Westminster, BC
Markham, ON
Waterloo, ON
Burnaby, BC
Guelph, ON
North York, ON
North York, ON
Unofficial Results
Name/Nom
ZHANG
ZHAO
ZHAO
ZHENG
ZHENG
ZHONG
ZHONG
ZHOU
ZHOU
ZHOU
ZHOU
ZHOU
ZHU
ZOU
Résultats non-officiels
LUNJUN
FEIXIONG
XINHE
GUO
SHUANG
FANBO
YIKUN
ALICE
JIACHEN
JINGSEN
LINQI
YIZHI
LICHEN
YAZHU
School/École
St. Thomas of Villanova College
University Hill S.S.
The Woodlands Sec. School
Richmond Hill H.S.
Princeton Academy of Canada
Columbia Int’l College
London Int’l Academy
Waterloo C.I.
Taie Int’l Institute
Royal Elite Int’l Academy
Oak Bay S.S.
Bur Oak S.S.
VIP Academy
Location/Endroit
King City, ON
Vancouver, BC
Mississauga, ON
Richmond Hill, ON
Toronto, ON
Hamilton, ON
London, ON
Waterloo, ON
Toronto, ON
St. Catherines, ON
Vancouver, BC
Victoria, BC
Markham, ON
Toronto, ON