The CENTRE for EDUCATION in MATHEMATICS and COMPUTING Le CENTRE d’EDUCATION´ en MATHEMATIQUES´ et en INFORMATIQUE www.cemc.uwaterloo.ca

2021 2021 Results R´esultats

Pascal Contest Concours Pascal (Grade 9) (9e ann´ee– Sec. III) Cayley Contest Concours Cayley (Grade 10) (10e ann´ee– Sec. IV) Fermat Contest Concours Fermat (Grade 11) (11e ann´ee– Sec. V)

c 2021 Centre for Education in Mathematics and Computing Competition Organization Organisation du Concours

Centre for Education in Mathematics and Computing Faculty and Staff / Personnel du Concours canadien de math´ematiques

Ed Anderson Conrad Hewitt Jeff Anderson Angie Hildebrand Terry Bae Carrie Knoll Jacquelene Bailey Wesley Korir Shane Bauman Judith Koeller Jenn Brewster Laura Kreuzer Ersal Cahit Bev Marshman Diana Casta˜nedaSantos Paul McGrath Sarah Chan Jen Nelson Ashely Congi Ian Payne Serge D’Alessio J.P. Pretti Fiona Dunbar Alexandra Rideout Mike Eden Nick Rollick Sandy Emms Kim Schnarr Barry Ferguson Ashley Sorensen Steve Furino Ian VanderBurgh Lucie Galinon Troy Vasiga Robert Garbary Christine Vender Rob Gleeson Heather Vo Sandy Graham Bonnie Yi

2 Competition Organization Organisation du Concours

Problems Committees / Comit´esdes probl`emes

Pascal Contest / Concours Pascal

Aaron Warner (Chair / pr´esidente), St. Mildred’s-Lightbourn School, Oakville, ON Melissa Hesch, University of Waterloo, Waterloo, ON Rachel Iacobucci, White Oaks S.S., Oakville, ON Hwie Lie Johns, Sutherland S.S., North Vancouver, BC Peter O’Hara, London, ON J.P. Pretti, University of Waterloo, Waterloo, ON Paule Rodrigue, Franco-Cit´e,Ottawa, ON Anna Spanik, Halifax, NS

Cayley Contest / Concours Cayley

Jen Nelson (Chair / pr´esidente), University of Waterloo, Waterloo, ON Priscilla Bengo, Don Mills C.I., , ON Rich Dlin, Toronto, ON Barry Ferguson, University of Waterloo, Waterloo, ON Carley Funk, Waterloo C.I., Waterloo, ON Ty Ghaswala, Universit´edu Qu´ebec `aMontr´eal, Montreal, QC Jordan Grant, St. John’s-Kilmarnock School, Breslau, ON Christopher Ing, Vincent Massey S.S., Windsor, ON Christine Ruza, Elmira D.S.S., Elmira, ON Tim Zhou, University of Waterloo, Waterloo, ON

Fermat Contest / Concours Fermat

Paul Fennell (Chair / pr´esident), London, ON Sandra DellaMaestra, University of Toronto Schools, Toronto, ON Mike Eden, University of Waterloo, Waterloo, ON Melissa Giardina, Jean Vanier C.S.S., Milton, ON Conrad Hewitt, University of Waterloo, Waterloo, ON Steve Lau, Tara, ON Carol Miron, North Toronto C.I., Toronto, ON Martin Tuchtie, Fenelon Falls S.S., Fenelon Falls, ON

3 Foreword Avant-Propos

Our congratulations go to all who participated in this year’s Pascal, Cayley and Fermat Contests. This year’s Contests were great successes, with averages of 101.97, 99.19 and 97.26 across the three Contests. The number of eligible contestants with perfect papers on the three Contests were 105, 39 and 26. There was a mistake in Problem 25 on this year’s Pascal Contest, and so every student was given credit for this problem. You will see that the results for this question are removed throughout this report.

As always, we would like to thank the hard-working Problems Committees. Most of the members of these Com- mittees are active teachers from across Canada who volunteers their time and contribute dozens of hours of expertise. Without their intriguing and sometimes amusing problems, these Contests would not be possible.

We would also like to thank all participants, both teachers and students. This year’s contests were written under a variety of different situations, in many cases supervised by parents and guardians who wanted to ensure that students around the world had the ability to participate despite the continuing challenges of the global pan- demic. Teachers deserve extra appreciation for coordinating students both in their schools and writing remotely – no easy task! Despite the circumstances, we hope that the papers provided you with some interesting mathematics to think about and play with. Thank you for your support! Please continue to encourage your colleagues and fellow students to become involved in our activities.

Nos f´elicitations vont `atous les participants du Concours Pascal, Cayley et Fermat de cette ann´ee. Les Con- cours de cette ann´eeretentissaient de succ`es,avec des moyennes de 101,97, 99,19 et 97,26 `atravers les trois Concours. Le nombre de candidats eligibles poss´edant un concours parfait ´etaitde 105, 39 et 26. Une erreur s’est gliss´eedans le probl`eme25 du concours Pascal de cette ann´ee. Tous les ´el`eves ont donc re¸cules points pour ce probl`eme.Vous verrez que les r´esultatspour cette question ont ´et´esupprim´esde ce rapport.

Nous aimerions surtout remercier les Comit´esde probl`emespour leur dur travail. La plupart des membres de ces Comit´essont des enseignant(e)s d’´ecolesecondaire actifs d’un bout `al’autre du Canada qui offre leur temps et contribuent des douzaines d’heures d’expertise. Sans leurs probl`emesperspicaces et amusants, ces Concours ne seraient pas possibles.

Nous aimerions remercier aussi tous les participants incluant les enseignants et les ´etudiants. Les concours de cette ann´eeont ´et´er´edig´esdans des situations tr`esdiverses, souvent sous la supervision de parents, tutrices et tuteurs qui voulaient s’assurer que les ´el`eves du monde entier puissent participer malgr´eles difficult´espersistantes de la pand´emie mondiale. Les enseignantes et les enseignants m´eritent une reconnaissance particuli`erepour avoir coordonn´eles ´el`eves `ala fois dans leurs ´ecoles et `adistance – ce qui n’est pas une tˆache facile ! Malgr´eles circonstances, nous esp´eronsque ces concours ont fourni des math´ematiquesint´eressantes qui vous ont amus´eset pouss´es`ar´efl´echir. Merci pour votre soutien continu´e!

4 Enrollment Inscription

Number of schools registered by province / Nombre d’´ecolesinscrit par province

Pascal Cayley Fermat AB 89 41 40 BC 194 199 207 MB 39 28 28 NB 28 26 28 NL 14 13 14 NS 27 23 21 NT 1 1 1 NU 1 0 1 ON 1083 924 1160 PE 6 4 6 QC 49 45 42 SK 23 13 14 YT 1 1 2 International 387 352 368 Total 1942 1670 1932

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

Pascal Cayley Fermat AB 1479 486 437 BC 2563 2222 1876 MB 551 318 299 NB 316 286 205 NL 241 183 151 NS 605 443 265 NT 9 8 4 NU 2 0 1 ON 5561 4268 4578 PE 202 59 46 QC 1022 808 789 SK 194 93 68 YT 3 11 7 International 3773 3679 3851

Total 16521 12864 12577

Total number of students enrolled / Nombre d’inscriptions individuelles: 41962

5 Champions – 2021 Champions – 2021

2021 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARES` INDIVIDUEL ET PALMARES` PAR EQUIPE´ 2021

PASCAL CONTEST / CONCOURS PASCAL

STUDENTS /EL´ EVES` Students are listed in alphabetical order / Les ´el`evessont nomm´esen ordre alphabetique

School Location Ecole´ Endroit JAESUNG BAE King’s Christian Collegiate Oakville, ON KHARIS CHANG Calgary, AB JEFFREY CHEN Vancouver, BC CAROLINE CHENG Marc Garneau C.I. North York, ON PERRY DAI North York, ON ALESSANDRO DE MENECH A.B. Lucas S.S. London, ON MAX DING White Oaks S.S. Oakville, ON LEO FU Richmond, BC RYAN FWU University of Toronto Schools Toronto, ON ANDERSON GAO West Point Grey Academy Vancouver, BC DANIEL GAO Louis Riel School Calgary, AB MAXWELL GAO Vancouver, BC KEVIN GUO University of Toronto Schools Toronto, ON AARON HAN Fraser Heights S.S. Surrey, BC KEVIN HU Bloor C.I. Toronto, ON RACHEL KANG Little Flower Academy Vancouver, BC BYURI KIM North York, ON ANTON LAZARCHYK North York, ON ANGELA LI Toronto, ON GORDON LI Dundas, ON REX LI KANATA, ON SUNNY LI Edmonton, AB XIN CHEN LI University of Toronto Schools Toronto, ON ALLISON LIANG Abbey Park H.S. Oakville, ON SUNWOO LIM Saint John H.S. Saint John, NB DAVID LIN Ridley College High School St Catharines, ON OU LIN Marc Garneau C.I. North York, ON ADILA LIU MISSISSAUGA, ON OWEN LIU A.Y. Jackson S.S. North York, ON XUEFENG LIU Kuper Academy Kirkland, QC YUHENG LIU Surrey, BC YINGHANG MA Sir Winston Churchill S.S. Vancouver, BC JUSTIN NITOI Anderson C. and V.I. Whitby, ON MAGGIE PANG Marc Garneau C.I. North York, ON JUHYE PARK MARKHAM, ON GRACE PU Marc Garneau C.I. North York, ON LAWRENCE QIAN R.C. Palmer S.S. Richmond, BC SRIKRISHNA RAO St. John’s-Ravenscourt School Winnipeg, MB

6 Champions – 2021 Champions – 2021

2021 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARES` INDIVIDUEL ET PALMARES` PAR EQUIPE´ 2021

PASCAL CONTEST / CONCOURS PASCAL

STUDENTS /EL´ EVES` Students are listed in alphabetical order / Les ´el`evessont nomm´esen ordre alphabetique

School Location Ecole´ Endroit VICTOR SARCA Academy for Gifted Children-PACE Richmond Hill, ON AILSA SHEN Calgary, AB ALEXANDER SHEN Markham, ON DANIEL SU Vancouver, BC MAX SUN North York, ON RYAN TAN East Gwillimbury, ON RICHARD TANG Vancouver, BC KATO TAPALAGA Ajax, ON EMMA TIAN University of Toronto Schools Toronto, ON AYLA WANG University of Toronto Schools Toronto, ON DANIEL WANG Oakville, ON LAURA WANG University of Toronto Schools Toronto, ON YIHAN WEN Ridley College High School St Catharines, ON JARMIN WENG University of Toronto Schools Toronto, ON TOMMY WU (Upper School) Toronto, ON TRISTAN YAN KLASSEN Eric Hamber S.S. Vancouver, BC PENGJIN YANG Lord Byng S.S. Vancouver, BC SOHON YE College Jean Eudes Montreal, QC YUXUAN YE Walter Murray C.I. Saskatoon, SK JESSICA YI University of Toronto Schools Toronto, ON BRIAN YIN Unionville, ON YI YU Richmond, BC SHUPENG YUAN College Sainte-Anne de Lachine Lachine, QC HENRY ZHANG Vaughan, ON JEREMY ZHANG Triway Education - 2223206 Ltd. Whitchurch-Stouffville, ON KAYLYN ZHANG Unionville, ON LEGOLAS ZHANG North York, ON LEI ZHANG North York, ON TIANHENG ZHANG Marc Garneau C.I. North York, ON XUANKAI ZHANG North York, ON YAKUN ZHANG White Rock, BC TONY ZHENG Upper Canada College (Upper School) Toronto, ON EDRIC ZHOU Marc Garneau C.I. North York, ON

7 Champions – 2021 Champions – 2021

2021 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARES` INDIVIDUEL ET PALMARES` PAR EQUIPE´ 2021

PASCAL CONTEST / CONCOURS PASCAL

TEAMS / EQUIPES´

School Location Score Ecole´ Endroit Note Champion / Premi`ere Marc Garneau C.I. North York 450 University of Toronto Schools Toronto 450 Third / Troisi`eme Upper Canada College (Upper School) Toronto 444 Fourth / Quatri`eme Bloor C.I. Toronto 439 Fifth / Cinqui`eme A.Y. Jackson S.S. North York 438 West Point Grey Academy Vancouver 438

8 Champions – 2021 Champions – 2021

2021 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARES` INDIVIDUEL ET PALMARES` PAR EQUIPE´ 2021

CAYLEY CONTEST / CONCOURS CAYLEY

STUDENTS /EL´ EVES` Students are listed in alphabetical order / Les ´el`evessont nomm´esen ordre alphabetique

School Location Ecole´ Endroit AVERY CHAN Richmond Hill, ON JACOBO DE JUAN MILLON Lakefield College School Lakefield, ON SIRUI HANG Marc Garneau C.I. North York, ON SZE FAI HOU Vancouver, BC RONGKUAN JIANG Oakville, ON HANNAH KWON The Study Westmount, QC MORGAN LIN LIN St. Robert C.H.S. Thornhill, ON HANSON LIU Old Scona Academic H.S. Edmonton, AB EVAN LU Vincent Massey S.S. Windsor, ON SARINA MASHREGHIMOGHADDAM Kells Academy Montreal, QC PEIJIA IVY QIN RICHMOND, BC STEPHANIE SHENG North York, ON ERIC WANG Marc Garneau C.I. North York, ON XUANPENG WANG Oakville, ON SARAH WILSON Waterloo, ON BENNY XU University Hill S.S. Vancouver, BC BRIAN YAN Marc Garneau C.I. North York, ON JACOB YAN White Oaks S.S. Oakville, ON CULLEN YE Marc Garneau C.I. North York, ON JEFFERY ZHANG University of Toronto Schools Toronto, ON TIANYIN ZHANG St. Robert C.H.S. Thornhill, ON MIRANDA ZHAO Marc Garneau C.I. North York, ON LEO ZHUANG St. Andrew’s College Aurora, ON

TEAMS / EQUIPES´

School Location Score Ecole´ Endroit Note Champion / Premi`ere Marc Garneau C.I. North York 450 Second / Deuxi`eme St. Robert C.H.S. Thornhill 444 Third / Troisi`eme Old Scona Academic H.S. Edmonton 436 University of Toronto Schools Toronto 436 Fifth / Cinqui`eme Fleetwood Park S.S. Surrey 432

9 Champions – 2021 Champions – 2021

2021 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARES` INDIVIDUEL ET PALMARES` PAR EQUIPE´ 2021

FERMAT CONTEST / CONCOURS FERMAT

STUDENTS /EL´ EVES` Students are listed in alphabetical order / Les ´el`evessont nomm´esen ordre alphabetique

School Location Ecole´ Endroit SIQI CHEN Marc Garneau C.I. North York, ON RUI CONG Richmond, BC HAO CUI Marc Garneau C.I. North York, ON WILLIAM DAI Marc Garneau C.I. North York, ON MAN DENG Jaya Int’l H.S. Mississauga, ON YULAI DUAN St. Robert C.H.S. Thornhill, ON MUYANG LI Richmond, BC FU LIANG Jaya Int’l H.S. Mississauga, ON JEFFREY QIN Unionville, ON RICHARD SHUAI Walter Murray C.I. Saskatoon, SK XUEZHI WANG Royal St. George’s College Toronto, ON EDWARD XIAO University of Toronto Schools Toronto, ON SOPHIE XIE White Oaks S.S. Oakville, ON DANIEL YANG University of Toronto Schools Toronto, ON HAOZHE YANG Walter Murray C.I. Saskatoon, SK JAMES YANG Iroquois Ridge H.S. Oakville, ON ZIXIANG ZHOU London, ON KAICHENG ZHU Oakville, ON

TEAMS / EQUIPES´

School Location Score Ecole´ Endroit Note Champion / Premi`ere Marc Garneau C.I. North York 450 Second / Deuxi`eme Jaya Int’l H.S. Mississauga 444 Third / Troisi`eme University of Toronto Schools Toronto 442 Fourth / Quatri`eme St. Robert C.H.S. Thornhill 440 Fifth / Cinqui`eme Iroquois Ridge H.S. Oakville 438

10 Champions – 2021 Champions – 2021

2021 FERMAT CONTEST REGIONAL CHAMPIONS CHAMPIONS REGIONAUX´ AU CONCOURS FERMAT 2021

Each student below will receive a $200 prize / Chaque ´etudiantci-dessous recevrait un prix de 200 $

Province Student School Location Province Etudiant´ Ecole´ Endroit AB ARNAV KUMAR Webber Academy Calgary BC RUI CONG Richmond BC MUYANG LI Richmond MB PETER HU St. John’s-Ravenscourt School Winnipeg MB KANGREN HUANG St. John’s-Ravenscourt School Winnipeg MB WELDON SCOTT Grant Park H.S. Winnipeg NB YUMING LI Harrison Trimble H.S. Moncton NL WILLIAM LI Holy Heart of Mary Reg. H.S. St. John’s NS DI ZHAO Halifax Grammar School Halifax NU ANNA IRWIN Quluaq School Clyde River ON North JOSHUA ZHANG Lo-Ellen Park S.S. Sudbury ON East DAISY SHENG Nepean ON East ERIC SUI Kanata ON Metro SIQI CHEN Marc Garneau C.I. North York ON Metro HAO CUI Marc Garneau C.I. North York ON Metro WILLIAM DAI Marc Garneau C.I. North York ON Metro XUEZHI WANG Royal St. George’s College Toronto ON Metro EDWARD XIAO University of Toronto Schools Toronto ON Metro DANIEL YANG University of Toronto Schools Toronto ON Central MAN DENG Jaya Int’l H.S. Mississauga ON Central YULAI DUAN St. Robert C.H.S. Thornhill ON Central FU LIANG Jaya Int’l H.S. Mississauga ON Central JEFFREY QIN Unionville ON Central SOPHIE XIE White Oaks S.S. Oakville ON Central JAMES YANG Iroquois Ridge H.S. Oakville ON Central KAICHENG ZHU Oakville ON West ZIXIANG ZHOU London PE BAO KHA PHAN Colonel Gray Sr. H.S Charlottetown QC RYAN DE BARROS Pierrefonds Community H.S. Pierrefonds QC KEVIN DUAN Kells Academy Montreal SK RICHARD SHUAI Walter Murray C.I. Saskatoon SK HAOZHE YANG Walter Murray C.I. Saskatoon YT YEONSEON LEE Porter Creek Secondary School Whitehorse

11 Correct Answers Bonnes R´eponses

# Pascal Cayley Fermat 1 D C E 2 C E A 3 E A B 4 D D B 5 A E C 6 A C E 7 E B D 8 B E C 9 E A D 10 C D E 11 B D A 12 E E E 13 B A C 14 A D A 15 E C C 16 C E D 17 C B B 18 A E B 19 B D E 20 E B C 21 E C A 22 B E A 23 C A B 24 C C E 25 D C

12 Pascal Contest Concours Pascal

Number of Contestants / Nombre de concurrents: 13779 Average mark / Note moyenne: 101.97

Percentage of contestants selecting each option / Pourcentage de concurrents par choix:

Correct % not % correct Answer/ attempted/ of attempted Bonne % sans % tentatives R´eponse r´eponse r´eussies # A B C D E 1 D 1.53 0.42 1.57 94.02 2.11 0.34 94.34 2 C 0.17 0.39 98.99 0.15 0.12 0.17 99.16 3 E 0.60 0.04 0.23 0.22 98.65 0.25 98.90 4 D 2.94 0.62 0.99 92.60 1.51 1.34 93.86 5 A 58.22 3.17 5.48 29.98 1.28 1.87 59.33 6 A 91.07 2.56 1.71 0.70 2.04 1.91 92.84 7 E 0.83 3.42 0.54 1.42 92.25 1.54 93.69 8 B 6.30 91.53 0.50 0.33 0.55 0.79 92.26 9 E 0.92 0.64 1.14 0.73 95.62 0.95 96.54 10 C 3.50 9.27 64.29 9.83 4.62 8.49 70.25 11 B 4.37 84.89 1.45 1.06 0.47 7.76 92.03 12 E 9.24 5.32 4.70 12.13 62.57 6.03 66.59 13 B 5.92 55.92 10.31 3.74 2.27 21.83 71.54 14 A 72.84 1.49 8.93 4.26 7.02 5.46 77.05 15 E 14.43 7.03 11.79 2.95 47.81 16.00 56.92 16 C 5.07 5.94 47.35 6.63 11.51 23.49 61.89 17 C 4.55 5.38 57.14 11.08 15.44 6.41 61.05 18 A 72.07 6.27 3.75 4.12 3.30 10.49 80.52 19 B 4.91 64.13 4.82 5.46 1.75 18.93 79.10 20 E 6.60 7.79 17.35 7.72 25.23 35.30 39.00 21 E 13.58 5.33 4.35 5.94 54.34 16.45 65.04 22 B 11.13 21.04 17.01 16.50 5.44 28.88 29.58 23 C 8.67 7.58 15.36 8.22 4.02 56.14 35.02 24 C 4.07 7.79 10.02 8.96 4.42 64.74 28.42 25

13 Cayley Contest Concours Cayley

Number of Contestants / Nombre de concurrents: 10778 Average mark / Note moyenne: 99.19

Percentage of contestants selecting each option / Pourcentage de concurrents par choix:

Correct % not % correct Answer/ attempted/ of attempted Bonne % sans % tentatives R´eponse r´eponse r´eussies # A B C D E 1 C 0.25 0.71 97.16 1.67 0.06 0.16 97.32 2 E 0.76 1.58 0.55 1.56 94.57 0.98 95.51 3 A 93.45 0.98 3.24 0.78 0.47 1.08 94.47 4 D 0.60 0.75 1.37 94.03 2.28 0.96 94.94 5 E 0.36 1.48 0.38 0.97 96.35 0.45 96.79 6 C 0.45 1.36 93.93 1.74 1.17 1.34 95.21 7 B 3.26 85.23 1.97 3.21 2.37 3.97 88.75 8 E 0.69 3.41 1.35 0.26 93.83 0.45 94.25 9 A 80.56 2.29 3.11 7.39 2.84 3.80 83.74 10 D 1.36 5.99 12.98 52.48 10.24 16.94 63.18 11 D 1.58 0.89 1.50 90.17 3.14 2.72 92.69 12 E 11.75 0.46 1.88 0.42 84.45 1.04 85.34 13 A 87.26 2.98 1.10 1.62 2.15 4.88 91.74 14 D 2.12 8.97 14.20 60.07 4.84 9.79 66.59 15 C 1.55 5.58 63.30 5.10 5.17 19.31 78.45 16 E 3.01 10.68 2.82 6.53 64.02 12.94 73.54 17 B 4.83 66.90 4.79 4.21 1.57 17.69 81.28 18 E 26.54 5.81 5.53 5.94 40.92 15.27 48.29 19 D 5.98 5.54 8.45 41.89 14.03 24.11 55.20 20 B 5.13 22.68 10.33 7.78 5.22 48.86 44.35 21 C 7.91 6.82 66.88 3.22 1.30 13.87 77.65 22 E 6.59 10.70 8.30 7.49 16.79 50.13 33.67 23 A 11.83 6.71 6.74 7.08 4.85 62.79 31.79 24 C 5.84 8.87 9.03 5.22 7.02 64.02 25.10 25 D 5.45 7.53 6.34 7.85 4.04 68.80 25.16

14 Fermat Contest Concours Fermat

Number of Contestants / Nombre de concurrents: 10596 Average mark / Note moyenne: 97.26

Percentage of contestants selecting each option / Pourcentage de concurrents par choix:

Correct % not % correct Answer/ attempted/ of attempted Bonne % sans % tentatives R´eponse r´eponse r´eussies # A B C D E 1 E 0.25 0.31 0.50 0.41 98.41 0.11 98.52 2 A 97.68 0.81 0.93 0.42 0.13 0.03 97.71 3 B 0.12 98.93 0.31 0.36 0.12 0.15 99.08 4 B 0.56 95.57 2.81 0.67 0.20 0.19 95.75 5 C 3.07 1.18 90.06 2.22 1.16 2.31 92.19 6 E 0.38 2.75 0.98 0.36 95.24 0.29 95.52 7 D 2.85 2.41 1.67 87.67 4.23 1.17 88.71 8 C 2.65 2.60 77.60 2.92 4.52 9.71 85.95 9 D 5.12 2.02 2.93 77.94 8.43 3.57 80.83 10 E 1.62 6.84 1.71 5.50 79.61 4.72 83.55 11 A 81.50 8.43 4.37 1.09 0.75 3.86 84.77 12 E 1.92 3.22 2.97 8.54 82.04 1.31 83.13 13 C 9.90 5.49 64.89 4.76 5.60 9.36 71.59 14 A 89.24 1.40 5.09 1.69 0.48 2.10 91.15 15 C 10.56 4.82 69.79 4.45 1.27 9.10 76.78 16 D 12.94 10.07 4.92 41.40 5.00 25.67 55.70 17 B 7.80 47.78 11.68 10.26 3.05 19.43 59.30 18 B 3.79 32.12 6.48 7.98 5.49 44.13 57.49 19 E 4.89 6.64 6.86 5.62 45.11 30.88 65.26 20 C 7.53 9.82 13.70 8.30 6.71 53.94 29.74 21 A 65.12 2.41 8.03 2.65 6.44 15.35 76.93 22 A 15.34 8.23 10.99 7.16 4.11 54.17 33.47 23 B 6.62 17.77 10.15 13.88 5.83 45.74 32.75 24 E 4.35 8.74 7.66 7.09 5.96 66.19 17.63 25 C 6.27 5.77 8.55 8.19 7.68 63.54 23.45

15 Student Rankings Classements des ´el`eves

Score/ Pascal Cayley Fermat Score/ Pascal Cayley Fermat Note Rank/ Rank/ Rank/ Note Rank/ Rank/ Rank/ Position Position Position Position Position Position 150 1 1 1 99 7671 5721 5096 149 98 7923 5911 5232 148 97 8137 6082 5474 147 106 96 8394 6332 5648 146 27 95 8633 6499 5870 145 107 40 30 94 8855 6745 6042 144 127 45 32 93 9061 6923 6323 143 92 9282 7117 6460 142 286 110 67 91 9490 7293 6655 141 90 9725 7465 6809 140 387 157 110 89 9939 7615 6994 139 395 160 115 88 10178 7795 7186 138 419 169 118 87 10373 7925 7372 137 614 303 197 86 10535 8078 7509 136 634 309 201 85 10726 8212 7651 135 788 267 84 10893 8360 7798 134 795 355 268 83 11051 8508 7958 133 894 409 400 82 11208 8661 8142 132 946 432 403 81 11370 8773 8272 131 1161 579 477 80 11498 8887 8395 130 1219 587 484 79 11653 8985 8523 129 1458 650 563 78 11798 9082 8639 128 1484 663 575 77 11944 9204 8778 127 1679 748 772 76 12057 9307 8911 126 1760 789 777 75 12149 9390 9001 125 2002 1027 932 74 12245 9491 9097 124 2085 1044 938 73 12350 9563 9183 123 2361 1149 1062 72 12450 9644 9300 122 2469 1203 1081 71 12552 9714 9399 121 2716 1397 1336 70 12648 9770 9477 120 2835 1478 1370 69 12727 9826 9536 119 3104 1738 1602 68 12812 9898 9610 118 3262 1799 1631 67 12899 9967 9689 117 3549 2007 1871 66 12981 10033 9758 116 3722 2117 1920 65 13046 10075 9829 115 3982 2348 2122 64 13113 10116 9869 114 4126 2479 2177 63 13172 10164 9925 113 4410 2720 2439 62 13224 10206 9978 112 4591 2873 2493 61 13268 10242 10035 111 4825 3110 2782 60 13315 10288 10077 110 5050 3286 2850 59 13350 10322 10124 109 5307 3519 3097 58 13390 10354 10156 108 5537 3747 3176 57 13424 10389 10204 107 5805 4019 3496 56 13447 10416 10234 106 6020 4228 3604 55 13483 10445 10270 105 6262 4452 3892 54 13522 10461 10315 104 6503 4665 4006 53 13548 10484 10343 103 6729 4845 4229 52 13570 10501 10362 102 6998 5075 4365 51 13591 10523 10389 101 7223 5280 4618 50 13606 10549 10415 100 7459 5519 4762 49 13632 10564 10437

16 Student Rankings Classements des ´el`eves

Score/ Pascal Cayley Fermat Note Rank/ Rank/ Rank/ Position Position Position 48 13648 10574 10458 47 13662 10591 10471 46 13669 10615 10482 45 13679 10635 10497 44 13696 10646 10507 43 13702 10653 10518 42 13711 10663 10520 41 13718 10671 10526 40 13726 10677 10534 39 13730 10685 10541 38 13733 10690 10550 37 13741 10693 10556 36 13745 10701 10559 35 13750 10706 10566 34 13753 10714 10570 33 13756 10718 10571 32 13759 10725 10574 31 13760 10729 10578 30 13763 10735 10582 29 10743 10585 28 13766 10745 10586 27 13772 10749 10587 26 13773 10752 10588 25 13775 10753 24 13776 10756 10589 23 10759 22 13777 10590 21 10761 10591 20 10765 10592 19 13778 10770 10594 18 10774 17 10595 16 10775 15 10777 10596 14 13 12 11 10

N.B. These rankings pertain to eligible contestants only / N.B. Ces rangs se rapportent seulement aux concur- rents admissibles

17 Team Scores Notes des ´equipes

Scores/ Pascal Cayley Fermat Notes # of Schools/ # of Schools/ # of Schools/ No d’´ecoles No d’´ecoles No d’´ecoles 440 - 450 6 4 6 430 - 439 22 8 5 420 - 429 16 6 6 410 - 419 26 16 8 400 - 409 43 25 22 390 - 399 43 30 30 380 - 389 44 33 29 370 - 379 39 41 37 360 - 369 70 39 42 350 - 359 44 52 49 340 - 349 55 48 48 330 - 339 44 55 53 320 - 329 42 53 52 310 - 319 39 39 36 300 - 309 27 42 48

Number of three student teams / Nombre d’´equipes de trois ´el`eves Pascal Contest / Concours Pascal: 635 Cayley Contest / Concours Cayley: 609 Fermat Contest / Concours Fermat: 614

18 The CENTRE for EDUCATION in MATHEMATICS and COMPUTING Le CENTRE d’EDUCATION´ en MATHEMATIQUES´ et en INFORMATIQUE cemc.uwaterloo.ca

2021 2021 Results R´esultats

Pascal Contest Concours Pascal (Grade 9) (9e ann´ee– Sec. III) Cayley Contest Concours Cayley (Grade 10) (10e ann´ee– Sec. IV) Fermat Contest Concours Fermat (Grade 11) (11e ann´ee– Sec. V)

Cayley Contest Honour Rolls Palmar`espour le concours Cayley 2021 Cayley Contest/Concours Cayley Team Honour Rolls/Palmarès d'équipes Rank/Rang School/École City/Ville Score/Note 1 Marc Garneau C.I. North York 450 2 St. Robert C.H.S. Thornhill 444 3 Old Scona Academic H.S. Edmonton 436 3 University of Toronto Schools Toronto 436 5 Fleetwood Park S.S. Surrey 432 6 Vincent Massey S.S. Windsor 426 7 White Oaks S.S. Oakville 422 8 Bloor C.I. Toronto 420 9 Heritage Woods Secondary Port Moody 419 10 North York 418 10 Mulgrave School West Vancouver 418 10 Ridley College High School St Catharines 418 10 Walter Murray C.I. Saskatoon 418 14 Western Canada H.S. Calgary 415 15 Charles P. Allen H.S. Bedford 414 15 Kells Academy Montreal 414 15 Sir Winston Churchill H.S. Calgary 414 15 The Renert School Calgary 414 19 Pickering College Newmarket 412 19 Waterloo C.I. Waterloo 412 21 Kuper Academy Kirkland 410 22 St. George's School Vancouver 409 23 Sir Winston Churchill S.S. Vancouver 408 23 The Woodlands Sec. School Mississauga 408 23 University Transition Program Vancouver 408 26 Collingwood School West Vancouver 406 26 Moscrop S.S. Burnaby 406 26 Mount Douglas S.S. Victoria 406 29 College Jean Eudes Montreal 404 29 Lakefield College School Lakefield 404 29 University Hill S.S. Vancouver 404 32 St. Michael's Univ. School Victoria 403 33 Lisgar C.I. Ottawa 402 33 St. John's School Vancouver 402 33 The Study Westmount 402 36 Eric Hamber S.S. Vancouver 400 36 Southridge School Surrey 400 36 Toronto District School Board Virtual SS North York 400 39 Upper Canada College (Upper School) Toronto 398 40 Iroquois Ridge H.S. Oakville 397 40 Meadowridge School Maple Ridge 397 40 Victoria Park C.I. North York 397 43 A.Y. Jackson S.S. North York 396 43 Halifax Grammar School Halifax 396 43 St. Theresa of Lisieux C.H.S. Richmond Hill 396 46 Ashbury College Rockcliffe 394 46 Semiahmoo S.S. Surrey 394 46 St. Andrew's College Aurora 394 49 Loyalist C. and V.I. Kingston 393 49 Sentinel S.S. West Vancouver 393 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Name/Nom School/École Location/Endroit Grade/Niveau Group I/Groupe I Scores/Notes 150 - 146 CHAN AVERY Richmond Hill 10 DE JUAN MILLON JACOBO Lakefield College School Lakefield 10 HANG SIRUI Marc Garneau C.I. North York 10 HOU SZE FAI Vancouver 10 JIANG RONGKUAN Oakville 10 KWON HANNAH The Study Westmount 10 LIN MORGAN LIN St. Robert C.H.S. Thornhill 10 LIU HANSON Old Scona Academic H.S. Edmonton 10 LU EVAN Vincent Massey S.S. Windsor 10 MASHREGHIMOGHADDAM SARINA Kells Academy Montreal 10 QIN PEIJIA IVY RICHMOND 10 SHENG STEPHANIE North York 10 WANG ERIC Marc Garneau C.I. North York 10 WANG XUANPENG Oakville 10 WILSON SARAH Waterloo 10 XU BENNY University Hill S.S. Vancouver 10 YAN BRIAN Marc Garneau C.I. North York 10 YAN JACOB White Oaks S.S. Oakville 10 YE CULLEN Marc Garneau C.I. North York 10 ZHANG JEFFERY University of Toronto Schools Toronto 9 ZHANG TIANYIN St. Robert C.H.S. Thornhill 10 ZHAO MIRANDA Marc Garneau C.I. North York 10 ZHUANG LEO St. Andrew's College Aurora 10

Group II/Groupe II Scores/Notes 145 - 143 BAI BENJAMIN Fleetwood Park S.S. Surrey 10 CHAU MATTHEW Brampton 10 CHEN ANTHONY Marc Garneau C.I. North York 10 CHEN RICHARD St. George's School Vancouver 10 CHENG ZHONGZHI LAVAL 10 CHO KRISTIN Havergal College North York 10 CHUNG JOSHUA Richmond Hill 10 CUI OWEN Fleetwood Park S.S. Surrey 10 FU JINGHAO Sir Winston Churchill S.S. Vancouver 10 FU RYAN Old Scona Academic H.S. Edmonton 10 GONG ERIC Western Canada H.S. Calgary 10 GUO ALLEN A.Y. Jackson S.S. North York 10 HAO ANITA Calgary 10 JI JOHNSON Walter Murray C.I. Saskatoon 10 KANG KEVIN Western Canada H.S. Calgary 10 LEE MICHAEL Charles P. Allen H.S. Bedford 10 LI HAOLIN Crescent School North York 10 LI PATRICK Unionville 10 LIU ZEWEN Heritage Woods Secondary Port Moody 10 NGO TYLER Fleetwood Park S.S. Surrey 10 QIN GLORIA RUIQINDeran Academy Richmond Hill 10 RAO ROGER Richmond 10 ROZSA BALINT Bloor C.I. Toronto 9 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Group II/Groupe II Scores/Notes 145 - 143 TRIPATHI ANUSHKA Marc Garneau C.I. North York 10 WANG AN CHENG North York 10 WANG BENJAMIN University of Toronto Schools Toronto 10 WANG SHUOBO Mississauga 10 WANG YIZHOU Montreal 10 WU ADDISON Loyalist C. and V.I. Kingston 10 WU ALLYSON Marc Garneau C.I. North York 10 WU ERIKA Stouffville 10 WU JONATHAN Marc Garneau C.I. North York 10 WU JUNYI Markham 10 WU RAYMOND St. Robert C.H.S. Thornhill 10 XIA TIANHAO Sir Winston Churchill H.S. Calgary 10 XU GRACE Vancouver 10 XU ZHENFENG White Rock Christian Academy Surrey 10 YANG ALBERT Markham 10 YANG MICHAEL University Transition Program Vancouver 8 YANG MING Unionville 8 YUAN YUE Pickering College Newmarket 10 ZHANG JINGHE Walnut Grove S.S. Langley 9 ZHANG KEVIN Mississauga 10 ZHANG RAYMOND St. Robert C.H.S. Thornhill 10 ZHAO HAONAN North York 10 ZHENG KEVIN St. Robert C.H.S. Thornhill 10 ZHENG RUIMIAN Markham 10 ZHENG SAMUEL Moscrop S.S. Burnaby 10 ZHU RYAN Markham 10

Group III/Groupe III Scores/Notes 142 - 138 AGGARSON SHAILAH The Renert School Calgary 10 AHN SOOYEON St. Robert C.H.S. Thornhill 10 BAI RICHARD BAI University of Toronto Schools Toronto 10 BALAKUMAR ATHAVAN Vincent Massey S.S. Windsor 10 BASU DHRUV Lisgar C.I. Ottawa 10 CHEN EDWARD Port Moody Sr. S.S. Port Moody 10 CHEN EDWIN Waterloo C.I. Waterloo 9 CHEN ELLIOTT University Transition Program Vancouver 8 CHEN JASON White Rock 9 CHEN JIAJUN Virtual Secondary School Burlington 10 CHEN QUAN Marc Garneau C.I. North York 10 CHEN RAYTON Vincent Massey S.S. Windsor 10 CHHINA ALAM University of Toronto Schools Toronto 10 CHOI JEONGYUN Heritage Woods Secondary Port Moody 10 CHOI JOSHUA Marc Garneau C.I. North York 10 CUI MAX Vancouver 9 DAI JEREMY Marc Garneau C.I. North York 9 DENG JIAQI Oakridge S.S. London 10 DOU KATHRYN University of Toronto Schools Toronto 10 FAN EDDIE Richmond Hill 10 FANG RYAN Old Scona Academic H.S. Edmonton 10 GAN DAVID Ottawa 10 GONG MATTHEW Markham 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Group III/Groupe III Scores/Notes 142 - 138 GUILFOYLE BRENDAN The Renert School Calgary 10 GUO TYLER St. Augustine C.H.S. Markham 10 HAN EMILY St. John's School Vancouver 10 HANNESSON MATTHIAS Nanaimo 10 HE JASON Collingwood School West Vancouver 9 HE JUNMING Glenlyon Norfolk School Victoria 8 HOU ERIC J.N. Burnett S.S. Richmond 10 HUANG AARON R.C. Palmer S.S. Richmond 10 HUANG JIAYU Deran Academy Richmond Hill 10 JIANG JOHN University of Toronto Schools Toronto 9 JIANGG JEREMY St. Michael's Univ. School Victoria 10 KANG BOHYUN Iroquois Ridge H.S. Oakville 10 KANG DORIAN Aurora 9 KANG YEONSOO Earl Marriott S.S. Surrey 10 KENNEDY WILLIAM Mount Douglas S.S. Victoria 10 KOO DOYOON Kuper Academy Kirkland 10 KOO JIYOON Kuper Academy Kirkland 10 KOTHARI YASH Port Credit S.S. Mississauga 10 LI ALEX Ridley College High School St Catharines 9 LI BOBO Ridley College High School St Catharines 9 LI HARRY Charles P. Allen H.S. Bedford 10 LI SAMUEL Mount Douglas S.S. Victoria 10 LI TIANCHU Saint John H.S. Saint John 10 LI ZHIXUAN Unionville 10 LIANG AARON White Oaks S.S. Oakville 10 LIANG JEREMY North York 10 LIN JACOB Richmond 10 LIU JIAQI Halifax Grammar School Halifax 8 LIU SHERRY Southridge School Surrey 10 LIU YIMING Mulgrave School West Vancouver 10 LO KIERNAN Mulgrave School West Vancouver 10 LOEVSKY DEAN Concord 10 LONG OLIVER Kanata 10 LU XIANG Unionville 10 LUCUS CALIN Pinetree S.S. Coquitlam 10 LUO STEVEN North York 10 MANAFI KHOSROSHAHI ARTIN Mulgrave School West Vancouver 10 MARTIN NATHAN Westmount S.S. Hamilton 10 PAN JINGTONG Ridley College High School St Catharines 10 PIAO EDWARD Ashbury College Rockcliffe 10 QIAN JUSTIN Old Scona Academic H.S. Edmonton 10 QIN FELIX Unionville 10 QIU JEFFERY Waterloo C.I. Waterloo 10 RAMEZANKHANI HEEVA St. Robert C.H.S. Thornhill 10 REID TANG The Toronto 9 REN EMMA Havergal College North York 10 SATISH VISHNU The Woodlands Sec. School Mississauga 10 SHAH KRISH Turner Fenton S.S. Brampton 10 SHEN VICTOR Walter Murray C.I. Saskatoon 9 SWAMY ANAND The Renert School Calgary 10 TANG ADRIAN University of Toronto Schools Toronto 10 TAO YIMING Vancouver 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Group III/Groupe III Scores/Notes 142 - 138 TECSA ANTHONY Richmond Hill 10 TEU DAWSON Marc Garneau C.I. North York 10 TIAN DONGLI Mulgrave School West Vancouver 10 TIEU REESE North York 10 VARAKUNAN AKSHAYA Marc Garneau C.I. North York 10 WANG KEVIN The Woodlands Sec. School Mississauga 10 WANG KIMBERLY Bloor C.I. Toronto 10 WANG NEERA Marc Garneau C.I. North York 10 WANG YICHEN Mississauga 10 WU PATRICK Westdale S.S. Hamilton 10 XIANG RYAN Dr. Norman Bethune C.I. Scarborough 10 XIAO BOWEN Handsworth S.S. North Vancouver 10 XU ZHENGYANG Legacy Christian Academy Saskatoon 10 YAN BILL Marc Garneau C.I. North York 10 YANG GILBERT Sir Winston Churchill H.S. Calgary 10 YANG MING Markham 10 YANG SUNNY North York 10 YANG ZHICHEN Mississauga 10 YASKINA MARIA Lillian Osborne H.S. Edmonton 10 YE ALLISON Lisgar C.I. Ottawa 10 YOO MIN MARKHAM 10 YU SABRINA Hawthorn School for Girls North York 9 YU WINSTON University of Toronto Schools Toronto 10 YU ZINING Meadowridge School Maple Ridge 10 YUAN QIFENG Appleby College Oakville 10 ZANG JANE Richmond 10 ZHANG BRIAN Surrey 8 ZHANG BRIAN Bloor C.I. Toronto 10 ZHANG JULIAN University of Toronto Schools Toronto 9 ZHAO CHARLIE Marc Garneau C.I. North York 10

Group IV/Groupe IV Scores/Notes 137 - 134 AHN HOJUNE St. Robert C.H.S. Thornhill 10 AZAD ABID Toronto District School Board North York 10 BELLOT RAYAN College Jean Eudes Montreal 10 CADSBY MIA University of Toronto Schools Toronto 9 CAO VU Nepean 10 CHANG RUIHAN Mississauga 10 CHEN RUIQI North York 10 COMAS LEON ALEJANDRO Bloor C.I. Toronto 10 FANG ETHAN Vancouver 10 FATIMA RUQIA Campbell C.I. Regina 10 FU QIAN West Island College Dollard-Des-Ormeaux 10 FU XIAOYI Trafalgar Castle School Whitby 9 GARG KEVA University of Toronto Schools Toronto 10 HAGHBIN SOUREN A.Y. Jackson S.S. North York 10 HE ENOCH Marc Garneau C.I. North York 10 HE MATT Sir Winston Churchill S.S. Vancouver 10 HU JERRY Walter Murray C.I. Saskatoon 10 HU YIWEN Pickering College Newmarket 10 HUANG XIAOXUAN Kuper Academy Kirkland 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Group IV/Groupe IV Scores/Notes 137 - 134 HUANG ZHAOTIAN North York 10 JANG YOUNGDO Heritage Woods Secondary Port Moody 10 JANKOWSKI YUREK Citadel H.S. Halifax 10 JIN ERIC Vancouver 10 LAFRANCE SIMON College Jean Eudes Montreal 10 LAM MARISA College Jean Eudes Montreal 10 LI ALLAN Marc Garneau C.I. North York 10 LI CHARLIE Toronto District School Board North York 10 LI JONATHAN Luther College Regina 10 LI TIANREN Bloor C.I. Toronto 10 LI XUETONG Gleneagle S.S. Coquitlam 10 LI YUTONG Elmwood School Rockcliffe 10 LIN RALLY University of Toronto Schools Toronto 10 LIU CIERRA Southridge School Surrey 10 LIU DINGYING Earl of March S.S. Kanata 10 LIU HARRISON Abbey Park H.S. Oakville 10 LIU JOANNA St. Robert C.H.S. Thornhill 10 LIU JOHN Unionville 10 LIU KAIYAN Heritage Woods Secondary Port Moody 10 NG NICHOLAS Unionville 8 ONAY SAM Oakville 10 PARK MINJUNE University Hill S.S. Vancouver 10 QI LUCY Marc Garneau C.I. North York 10 RHYNESS EVAN Bill Crothers S.S Unionville 10 SETHI REINER JACOB Bishop Allen Academy 10 SHEN ALEXANDER North York 9 SUN OSCAR St. Robert C.H.S. Thornhill 10 WANG AIDEN University of Toronto Schools Toronto 9 WANG JERRY St. John's School Vancouver 9 WANG MARSHAL Upper Canada College (Upper Sc Toronto 10 WANG SOPHIA University of Toronto Schools Toronto 9 WATERHOUSE CURRIE NICHOLAS University of Toronto Schools Toronto 10 WU KEVIN Westdale S.S. Hamilton 10 XIA RICHARD North York 10 XUE WUKE Ecole secondaire Saint-Henri Montreal 10 YAN CYNTHIA White Oaks S.S. Oakville 10 YANG OLIVER Eric Hamber S.S. Vancouver 8 YE DANIEL North York 9 YOON HANJUN Sentinel S.S. West Vancouver 10 YOUN DONGMYOUNG Holy Name of Mary Col. Sch. Mississauga 10 YUAN PATRICK Ottawa 10 ZHANG XUCHEN London 9 ZHANG ZEJIA Vancouver 10 ZHAO HENRY Collingwood School West Vancouver 10 ZHENG DAVID University of Toronto Schools Toronto 10 ZONG RUNQI RICHMOND 10

Group V/Groupe V Scores/Notes 133 - 132 AN ALEX Collingwood School West Vancouver 9 AN JUNGBEOM Sentinel S.S. West Vancouver 10 ANDY ZHU St. George's School Vancouver 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V Scores/Notes 133 - 132 BAI ORLANDO Georges Vanier S.S. North York 10 CAI JACKIE Old Scona Academic H.S. Edmonton 10 CHAUHAN DEVIN St. Theresa of Lisieux C.H.S. Richmond Hill 10 CHEN ANDREW Walter Murray C.I. Saskatoon 8 CHEN JASON Markham 8 CHEN TYLER Eric Hamber S.S. Vancouver 10 CHENG HARRY University of Toronto Schools Toronto 10 CHONG MAXIMILIAN Shawnigan Lake School Shawnigan Lake 10 DAI DANNY Brampton 10 DUPLESSIS JACOB Campbellville 10 FU MATHEW Eric Hamber S.S. Vancouver 10 GAO LAURA Marc Garneau C.I. North York 10 GROCHMAL PHILIP St. Michael's College School York 10 GU STEVEN North York 10 GUO LOUIS Upper Canada College (Upper Sc Toronto 9 HE CHENGYANG TORONTO 10 HO JULIANNE Toronto 10 HO SAMUEL McCanny Secondary School Scarborough 10 HOLLANDER MICHAEL St. Theresa of Lisieux C.H.S. Richmond Hill 10 HOU JIA YANG The Woodlands Sec. School Mississauga 10 HU YANG Havergal College North York 10 JIANG BRYAN Pickering College Newmarket 10 JIZAN SHAYAN Guelph C. and V.I. Guelph 10 KHAN SHAHZAIB FFCA - High School Campus Calgary 10 KOTRA RADHA Toronto 10 LEE GEOFFREY St. Robert C.H.S. Thornhill 10 LEE TAEMIN Toronto 10 LEI MELANIE North York 10 LEUNG JAZLYNN Richmond Hill 10 LI AMY Marc Garneau C.I. North York 10 LI GLORIA St. Robert C.H.S. Thornhill 10 LI HENRY Semiahmoo S.S. Surrey 10 LI JIAWEN Markham 10 LI KAIWEN Vancouver 8 LI ZHIXIAN St. Robert C.H.S. Thornhill 10 LIANG CHEN LaSalle 10 LIAO ANDREW Waterloo C.I. Waterloo 10 LIN JERRY Victoria Park C.I. North York 10 LIN WILLIAM Marc Garneau C.I. North York 10 LIN ZIZHUO Ridley College High School St Catharines 10 LIU JIANUO Meadowridge School Maple Ridge 8 LIU JINGYI St. Mildred's-Lightbourn Schoo Oakville 10 LU BELLA St. Michael's Univ. School Victoria 10 LU TIMOTHY Waterloo 10 MAI CADENCE St. John's-Ravenscourt School Winnipeg 10 MARTIN ERIC Mississauga 10 MCEACHERN CONNOR A.N. Myer S.S. Niagara Falls 10 MEI ALICE YUJIE Markham 10 NAKAYASU SHUTO Charles P. Allen H.S. Bedford 10 NGO MINHCHAU Kells Academy Montreal 10 QI JIAXUAN Lord Byng S.S. Vancouver 10 QI MIKE Gleneagle S.S. Coquitlam 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V Scores/Notes 133 - 132 QIAN LONG North York 10 QIN RICKY Richmond Hill 10 REN GRANT The Woodlands Sec. School Mississauga 10 REN YOYO Halifax Grammar School Halifax 10 SATKUNARAJAH ANANTH North York 10 SHAMS ABDULLAH Centennial Collegiate Saskatoon 10 SHASHAANI SAM North York 8 SHEN SIMON Markham 10 SHIN AMY Lakefield College School Lakefield 10 SONG MAX Kanata 10 SOUZA LUCAS Moscrop S.S. Burnaby 10 SPAGNOLO RYAN Toronto 10 SU LYDIA Bloor C.I. Toronto 10 SU ZHEYU Langley Fundamental M. and S. Langley 10 SUN AILEEN Victoria Park C.I. North York 10 SUN EMMA Loyalist C. and V.I. Kingston 10 TABARINIA MOHAMMADAMIN Kells Academy Montreal 10 TAN ARIANNA Blyth Academy Toronto 9 TAN JUSTIN White Oaks S.S. Oakville 10 TANG TERENCE North York 10 THARANI KAYAAN Walter Murray C.I. Saskatoon 10 TIAN DEAN Sir Winston Churchill H.S. Calgary 10 TIAN ZIMING Collingwood School West Vancouver 8 VELAMURI SRIJAN Trinity College School Port Hope 10 VENUGOPAL NIKSHA Vincent Massey S.S. Windsor 10 WAHBAN ALIA Oakville 8 WANG JUNRAN Vancouver 10 WANG SOPHIA North York 10 WANG YUBO St. Theresa of Lisieux C.H.S. Richmond Hill 10 WEI MICHAEL University of Toronto Schools Toronto 9 WENG ZILIN Toronto 10 WONG CONNOR St. George's School Vancouver 10 WU ALEXANDER North York 8 WU EASON Ottawa 10 WU HAN Brother Andre C.H.S. Markham 10 WU KEVIN Upper Canada College (Upper Sc Toronto 10 WU LUNA Vincent Massey S.S. Windsor 10 WU YANXU Mentor College Mississauga 10 XIANG HARRY Toronto 10 XU ANDREW Sir Winston Churchill H.S. Calgary 10 XU FANGRUI Westmount 9 XU JOHNSON Victoria Park C.I. North York 10 XU OLIVIA Scarborough 10 YAN ANDY Markham 10 YANG SHARON Semiahmoo S.S. Surrey 10 YANG WEIYAO Luther College Regina 10 YANG ZHIYAO St. Michael's Univ. School Victoria 10 YE JUNTIAN Surrey 8 YI RONGHENG Albert College Belleville 10 YIN GRACE St. Michael's Univ. School Victoria 10 YING ELLIOT University of Toronto Schools Toronto 10 YOUNG ALVIN Toronto District School Board North York 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V Scores/Notes 133 - 132 ZENG ALEX Burnaby North S.S. Burnaby 10 ZHANG AVERY Charles P. Allen H.S. Bedford 10 ZHANG HAOTIAN Hugh McRoberts S.S. Richmond 10 ZHANG OLIVIA Havergal College North York 10 ZHANG RICHARD Georges Vanier S.S. North York 10 ZHANG TONY Marc Garneau C.I. North York 10 ZHENG BOB Mentor College Mississauga 10 ZHOU SHANGXIA White Oaks S.S. Oakville 10 ZHU CAROLYN Scarborough 10 2021 Cayley Contest/Concours Cayley Team Honour Rolls/Palmarès d'équipes International Rank/Rang School/École City/Ville Score/Note 1 Kultur Science High School Istanbul 450 2 ICAE Troy 442 3 Math Trainers Guild of Philippines Zamboanga City 438 4 Guangdong Country Garden Sch. Foshan City 432 4 Shenzhen Grit Academy Shenzhen 432 4 Zhengzhou Foreign Language School Henan Zhengzhou 432 7 Izmir Bahcesehir High School for Science Izmir 430 8 AIC QingTeng Academy Guangzhou 428 9 Pui Ching M.S. Kowloon City 426 10 BASIS Independent Silicon Valley San Jose 422 11 Philippine Science High School Quezon City 419 12 Jurong Country Garden School Jurong 418 12 SIMETRI Tangerang 418 14 Harbin No. 9 High School Harbin 406 15 Bilfen Antalya High School Antalya 404 15 Metu DF High School - Ankara Ankara 404 15 The Koc School Istanbul 404 15 Xianda College of Economics and Humaniti Shanghai 404 19 Chinese Int'l School Hong Kong 402 19 METU DF High School - Denizli Denizli 402 19 Seoul Foreign High School Seoul 402 22 HKMA David Li Kwok Po College Kowloon 399 23 ODTU Mersin College Mersin 397 24 PEN Education Cresskill 396 24 St. Johnsbury Academy Jeju Seogwipo 396 24 Tarsus American College Tarsus/Mersin 396 27 Sendelta International Academy ShenZhen 395 28 American Collegiate Institute Izmir 394 28 K. International School Tokyo Tokyo 394 30 The South Island School Aberdeen 392 31 Dwight School Seoul Seoul 390 31 Ivy Collegiate School Seo-gu 390 31 St. Mary's Canossian College Tsimshatsui Kowloon 390 34 Private SEV College Istanbul 389 35 Beijing New Talent Academy Beijing 388 35 FMV Ozel Ayazaga Isik Lisesi Istanbul 388 35 Sino-Canadian Prog. of Eng. Sch. Att. to Guangzhou 388 38 Hisar School Istanbul 385 39 Private Bilfen Cayyolu Science H.S. Ankara 384 40 Shenyang Transformation International Sc Shenyang 381 41 DALAMAN Bahcesehir college MUGLA 380 41 Oberoi International School Mumbai 380 41 The Bear Creek School Redmond 380 41 Wuhan Maple Leaf Int'l School Wuhan Hubei 380 45 Shanghai Singapore I.S. Shanghai 379 46 Concordia International School Hanoi Hanoi 378 46 Huaer Zizhu Academy Shanghai 378 46 International School Kenya ISK Nairobi 378 46 Leipzig International School Leipzig 378 46 Uskudar American Academy Istanbul 378 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants International Name/Nom School/École Location/Endroit Grade/Niveau Group I/Groupe I Scores/Notes 150 - 145 AGGARWAL DEEPTI ICAE Troy 10 AYDIN CEMILECEREN Kultur Science High School Istanbul 10 BOZDAG SERDAR Private Technical Schools Kocaeli 10 CAO RAN AIC QingTeng Academy Guangzhou 10 DINDAR MERIH Kultur Science High School Istanbul 10 GUNGOR EYUP RAMAZAN Kultur Science High School Istanbul 10 KOOHSOLTANI AMIRHOSSEIN Tabriz 10 LI JIAYI Guangdong Country Garden Sch. Foshan City 10 LING YUNYI Potomac 8 OZILGILI EREN Izmir Bahcesehir High School f Izmir 10 PIRTINI SERRA Kultur Science High School Istanbul 10 THAVAMANI RUTHESH ICAE Troy 10 WANG ZIMU Zhengzhou Foreign Language Sch Henan Zhengzhou 10 WONG YIN CHEUNG Pui Ching M.S. Kowloon City 10 WU FILBERT Math Trainers Guild of Philipp Zamboanga City 10 XUAN SOPHIE Sammamish 10

Group II/Groupe II Scores/Notes 144 - 143 DONG JESSICA Shanghai American School (West Shanghai 10 GUO IVY Rockville 8 GUO JIANING Xianda College of Economics an Shanghai 10 GUO OLIVIA Rockville 8 HE XINTONG Shenzhen Grit Academy Shenzhen 10 KRISTOFORUS YANTO RAFAEL SIMETRI Tangerang 10 LI MICHAEL Shenzhen Grit Academy Shenzhen 10 LIU JERRY BRIDGEWATER 10 LIU KELVIN Zhengzhou Foreign Language Sch Henan Zhengzhou 10 LIU YINZE Shenyang Transformation Intern Shenyang 10 LUO JUNRUI Shenzhen Grit Academy Shenzhen 10 MO YALAN AIC QingTeng Academy Guangzhou 10 QIAN ANGELA BASIS Independent Silicon Vall San Jose 10 TAN CASSIDY KYLERMath Trainers Guild of Philipp Zamboanga City 10 TAN SEAN MATTHEW Math Trainers Guild of Philipp Zamboanga City 10 WU JUNHUI Shenzhen Grit Academy Shenzhen 10 YANG JINGLIN Guangdong Country Garden Sch. Foshan City 10 YANG ZIYI Beijing 10 YEUNG NICOLE HKMA David Li Kwok Po College Kowloon 10 ZHONG YIHUI Shanghai American School (West Shanghai 10 ZHU MOLIN Canada Hefei No. 1 S. S. (BC o Hefei 10

Group III/Groupe III Scores/Notes 142 - 141 AYUSH HRISHABH Kota 10 BAE LANCE PEN Education Cresskill 10 BODAPATI PRANAV BASIS Independent Silicon Vall San Jose 8 CHOI JASON International School Kenya ISK Nairobi 9 CHUA MATTHEW Math Trainers Guild of Philipp Zamboanga City 10 DAGDELEN BERKE Izmir Bahcesehir High School f Izmir 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants International Group III/Groupe III Scores/Notes 142 - 141 DEMIRCI ABDULLAH EMIN Istanbul 10 EUGENIO SUGIARTO ROBERTO SIMETRI Tangerang 9 GAN HAOTIAN Shenzhen Grit Academy Shenzhen 9 GUPTA ANSH The Cathedral and John Connon Mumbai 10 ISIK SAYGIN Kultur Science High School Istanbul 10 JOSHI OM ICAE Troy 10 JULIAN SUGIONO VINCENZIO Wardaya College Jakarta Barat 10 KARAL AHMET YASIN Koceali 10 LAP SAN HUI Munsang College Kowloon City 10 LEUNG NGO YIN ARKINMunsang College Kowloon City 10 LIU STEPHANIE Foster City 10 MA TSZ HIN Munsang College Kowloon City 10 NEVIN TAN NICHOLAS Wardaya College Jakarta Barat 10 PINAR ISMAIL Private Technical Schools Kocaeli 10 SANGWAN PRANAV Transitions Lab Prep School Thiruvanathapuram 10 SARAC MEDET BILAL Istanbul 10 SETHI KAVIISH Mumbai 10 TROPICALES BERT JACOB Philippine Science High School Quezon City 9 TSE MAN HEI Munsang College Kowloon City 10 UNAL OZGUR Kultur Science High School Istanbul 10 WANG BOWEI Sino-Canadian Prog. of Eng. Sc Guangzhou 10 WONG KA YU Kowloon 10 XIN LIDA Harbin No. 9 High School Harbin 10 XIONG JUNJIE Shenzhen Grit Academy Shenzhen 10 XUAN SARAH Sammamish 10 YEL KADIR Yalova 10 YI QIN Jurong Country Garden School Jurong 10

Group IV/Groupe IV Scores/Notes 140 - 138 AVCI EGE Zafer Koleji Etimesgut 10 BIRDIR EREN DOGA Private Bilfen Cayyolu Science Ankara 10 BOLLAPALLI AMOGH ICAE Troy 10 CHAN HO YEUNG Pui Ching M.S. Kowloon City 10 CHEN FAN Guangdong Country Garden Sch. Foshan City 10 CHEN YIFAN Jurong Country Garden School Jurong 10 CHEUNG HUGO The South Island School Aberdeen 10 CHO RACHEL Seoul Foreign High School Seoul 10 DJUNED PUSPONEGORO ARIAN Jakarta 10 ERDOGAN BARAN Metu DF High School - Ankara Ankara 10 FU XUE Jurong Country Garden School Jurong 10 GERGEN PAYTON The Bear Creek School Redmond 10 GONZALES MARCUS Philippine Science High School Quezon City 9 GUNUKULA AKUL ICAE Troy 10 HUANG WANSHU Shenzhen Grit Academy Shenzhen 10 HUR JANICE Seoul Foreign High School Seoul 10 JACOB BENJAMIN Philippine Science High School Quezon City 9 JEONG HYUNHO St. Johnsbury Academy Jeju Seogwipo 10 KARACA YIGIT Izmir Bahcesehir High School f Izmir 10 KIRDAR KAGAN Zafer Koleji Etimesgut 10 KO SIU TING Pui Ching M.S. Kowloon City 10 KUNDU KANISHK Mumbai 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants International Group IV/Groupe IV Scores/Notes 140 - 138 LEE YOONSEOK Seoul 9 LI PEIXUAN Canada Hefei No. 1 S. S. (BC o Hefei 10 LI SIXUAN Shenzhen Grit Academy Shenzhen 10 LI ZIYU Canada Hefei No. 1 S. S. (BC o Hefei 10 LIN XIAOFEI Falls Church 8 LV TIANYUAN Zhengzhou Foreign Language Sch Henan Zhengzhou 10 MAGPANTAY DAVIS NICHOLOPhilippine Science High School Quezon City 9 MAHAJAN AARUSH Lotus Valley International Sch Noida 10 MAK JEFF Princeton 10 MEHTA ADITYA Transitions Lab Prep School Thiruvanathapuram 10 MEHTA SHIV Mumbai 10 OH DAWN Ivy Collegiate School Seo-gu 10 OH SEJIN Shanghai American School (West Shanghai 10 OREN CEM BATU American Collegiate Institute Izmir 10 OZTURK MEHMET Private Technical Schools Kocaeli 10 PARK JIWOO CMIS Canada (Songdo Peninsula Incheon 10 PHISITKUL VICTOR Ruamrudee International School Bangkok 10 QIYUE LIAO Shenzhen Grit Academy Shenzhen 10 SAWATYANON PATANWIT Concordian International schoo Bangkok 10 SHAH ISHAAN Transitions Lab Prep School Thiruvanathapuram 10 SHANAVAS REHAN MUSCAT 10 SONG RUIYUN Xianda College of Economics an Shanghai 9 SU JESSY Ravenswood School for Girls Sydney 10 TANDON YASH Oberoi International School Mumbai 10 TOPTEPE EYLUL METU DF High School - Denizli Denizli 10 WANG ZHONGXING Guangdong Country Garden Sch. Foshan City 10 WONG NIKKI Chinese Int'l School Hong Kong 10 XIA KEVIN Ellicott City 8 XUE RICHARD Shanghai American School (West Shanghai 10 YANG ALLEM Ellicott City 10 YANG YILIN Guangdong Country Garden Sch. Foshan City 10 YARLAGADDA HIMANI ICAE Troy 10 YUCAL BERAT Kultur Science High School Istanbul 10 YUNG SAMANTHA Pui Ching M.S. Kowloon City 10 ZHANG JIACHENG Shenzhen Grit Academy Shenzhen 11 ZHANG QINGHAO Canada Hefei No. 1 S. S. (BC o Hefei 10 ZHAO JIAWEN Braintree 10 ZHU JIZHONG Shanghai Australian Internatio Shanghai 10 ZHU QINGCHUAN Canada Hefei No. 1 S. S. (BC o Hefei 10

Group V/Groupe V Scores/Notes 137 - 131 ABREA CRIS ADRIELLEMath Trainers Guild of Philipp Zamboanga City 10 AKCIL SONER ODTU Mersin College Mersin 10 AKKUS ATILLA Private Technical Schools Kocaeli 10 AKMAN IDIL ODTU Mersin College Mersin 10 ALTUG YAMAN Ozel Gelisim Koleji MENEMEN / IZMIR 10 ARABACI SELIM METU DF High School - Denizli Denizli 10 ARNOLD ALEXANDER Chinese Int'l School Hong Kong 10 ASLANALP OGUZHAN Izmir Bahcesehir High School f Izmir 10 AVSAR OZGU BENAN Bilfen Antalya High School Antalya 10 BAKICI ARDA Izmir Bahcesehir High School f Izmir 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants International Group V/Groupe V Scores/Notes 137 - 131 BANDARU SUJITH The Aga Khan Academy - Hyderab Telangana 10 BARLAS DENIZ Private Technical Schools Kocaeli 10 BHAIYA KALASH Transitions Lab Prep School Thiruvanathapuram 10 BINTORO PHOEBE SIMETRI Tangerang 10 CAGLIYAN MERT METU DF High School - Denizli Denizli 10 CAM SALIH ATAMERTFMV Ozel Ayazaga Isik Lisesi Istanbul 10 CEBECI BEKIR BARTU Metu DF High School - Ankara Ankara 10 CHEN FEINI Bavarian Intern. School e.V. Haimhausen 10 CHOI REENA Dwight School Seoul Seoul 10 CHOW BETHANY St. Mary's Canossian College Tsimshatsui Kowloon 10 DEMIRHAN ELBI LAVIN Tarsus American College Tarsus/Mersin 10 DIMAYACYAC ARMEA HELENA Philippine Science High School Quezon City 9 DUMAN IREM Sainte Pulcherie French High S Istanbul 10 EBANKS SABINE Int'l School of Geneva (S.S.) Geneva 10 EHLI EREN The Koc School Istanbul 10 ERDOGAN ATALAY İtu Eta Vakfı Sariye ISTANBUL 10 ERKENCI AHMET OMER Izmir Bahcesehir High School f Izmir 10 FANG WEILIN Sendelta International Academy ShenZhen 10 FENG SIHAN Beijing New Talent Academy Beijing 10 GABA AMEY K. International School Tokyo Tokyo 10 GAMBOA HANS DOMINIC Math Trainers Guild of Philipp Zamboanga City 9 GULKESEN SEMIH Tarsus American College Tarsus/Mersin 10 GURLER ECE The Koc School Istanbul 10 HAN MEITING AIC QingTeng Academy Guangzhou 10 HEO EUNSEO Shanghai Singapore I.S. Shanghai 10 HOI CHEUNG JASON WONG Pui Ching M.S. Kowloon City 10 HUANG CHARLES ICAE Troy 10 HUANG RUOSHUI Guangdong Country Garden Sch. Foshan City 10 HUANG WAYNE Nanjing 9 HWANG EUGENE Dwight School Seoul Seoul 10 INAN ANIL Bilfen Antalya High School Antalya 10 IP LILIAN St. Mary's Canossian College Tsimshatsui Kowloon 10 JANG YUNA St. Johnsbury Academy Jeju Seogwipo 10 JIARUN QIN Jurong Country Garden School Jurong 10 JIN CANCE Huaer Zizhu Academy Shanghai 9 KACAR ARDA NOYAN Metu DF High School - Ankara Ankara 10 KARACA EGEHAN Izmir Bahcesehir High School f Izmir 10 KAYA KAYRA Tarsus American College Tarsus/Mersin 10 KHATOR NANDIKA Indian Language School Lagos 10 KILIC ALI Uskudar American Academy Istanbul 10 KIM HANJUN Shanghai American School (West Shanghai 10 KIM HOJUN Tianjin Int'l. School Tianjin 10 KIM JUSTIN Chinese Int'l School Hong Kong 10 KIRICI OMER Eraslan Okulu Izmir 10 KIZIL KUTAL ARDA ODTU Mersin College Mersin 10 KORKMAZ NIL Tarsus American College Tarsus/Mersin 10 KUCUK NEHIR American Collegiate Institute Izmir 10 LAHR MORITZ Stiftung Private Kant-Schulen Berlin 10 LAM WAI SUM VENUS Tin Shui Wai 10 LANDICHO BERNADETTE Math Trainers Guild of Philipp Zamboanga City 8 LANDICHO JUAN RAFAEL Math Trainers Guild of Philipp Zamboanga City 9 LEE GI JEONG K. International School Tokyo Tokyo 10 2021 Cayley Contest/Concours Cayley Student Honour Roll/Palmarès d'étudiants International Group V/Groupe V Scores/Notes 137 - 131 LEE HAYDEN Ivy Collegiate School Seo-gu 10 LEE SOO HYUN PEN Education Cresskill 10 LI SHUN Harbin No. 9 High School Harbin 10 LI XUKUN Beijing 10 LIANG NICOLE Ellicott City 10 LIM MAYAH Philippine Science High School Quezon City 9 LIU WEITING Guangdong Country Garden Sch. Foshan City 10 LIU XU MARTIN Beijing Junyi Private High Sch Beijing 10 MA CHENGXUAN The Second Foreign Lang. Sch. Shanghai 10 MAGNAYE JOHN DAVID Philippine Science High School Quezon City 9 MERAL YAREN Izmir Bahcesehir High School f Izmir 10 MODI SOHAM Transitions Lab Prep School Thiruvanathapuram 10 NAIR KRISHNAANSH Mumbai 10 NEMUTLU EMIR EGE Zafer Koleji Etimesgut 10 NI ZIXIN Zhengzhou Foreign Language Sch Henan Zhengzhou 10 OGE DENIZ Private SEV College Istanbul 10 OGE DOGA Private SEV College Istanbul 10 ORCEN ARDIL The Koc School Istanbul 10 OUYANG SHUAIYAN Int'l School of Geneva (S.S.) Geneva 10 PARK SOEE Branksome Hall Asia Seogwipo-si 9 SALAZAR JOSE CARLO Math Trainers Guild of Philipp Zamboanga City 10 SANKARRAM ADITH Muscat 10 SARDA YUVRAJ The Doon School Dehradun 10 SENGOR MUSTAFA Bilfen Antalya High School Antalya 10 SENOL HILAL DALAMAN Bahcesehir college MUGLA 10 SEVINC AHMET EREN Private Bilfen Kayseri H.S. KAYSERI 11 SHIN YOOMIN Weihai Zhongshi Foreign School Weihai 10 SO ABBY Hong Kong 10 SONMEZ AYTUG Izmir Bahcesehir High School f Izmir 10 SONMEZ DENIZ Ozel bilfen Iskenderun H.S Iskenderum 10 SUN ISAAC BASIS Independent Silicon Vall San Jose 8 SURYADEVA MUHAMMAD Wardaya College Jakarta Barat 10 TANGKIJNGAMWONG REI NIST International School Bangkok 10 TARIM MERT The Koc School Istanbul 10 TORREON AMBROSE JAMESMath Trainers Guild of Philipp Zamboanga City 9 TOTUK ALI Izmir Bahcesehir High School f Izmir 10 UNSAL GOKTURK BATINZafer Koleji Etimesgut 10 WANG YIJING Zhengzhou Foreign Language Sch Henan Zhengzhou 10 WANQI SUN Harbin No. 9 High School Harbin 10 XU JIANZHI Sendelta International Academy ShenZhen 10 YANG RAIN ZIMIN Tsinghua University High Schoo Beijing 10 YIN QI Canadian Int'l School of Beiji Beijing 10 YU SUI KI RITA Hong Kong 10 ZHIYANG ZHOU Shenzhen Grit Academy Shenzhen 10 ZHU YIZHUO Leipzig International School Leipzig 10