1 UCT MATHEMATICS COMPETITION

The annual University of Mathematics Competition took place on the UCT campus on 16 April this year, attracting 7251 participants from 150 high schools. Each school could enter up to five individuals and five pairs, in each grade (8 to 12). The question papers were set by a team of local teachers and staff of the UCT Department of Mathematics and Applied Mathematics. Each paper consisted of 30 questions, ranging from rather easy to quite difficult. Gold Awards and Casio calculators and watches were awarded to the top ten individuals and top three pairs in each grade. Grade 8: Individuals 1 Sanjiv Ranchod 2 Matthew Booth Boys’ High School 2 Andrew McGregor Rondebosch Boys’ High School 2 Yaseen Mowzer 5 Mu-aath Upadhey Westerford High School 6 Benna Marais Paarl Gimnasium 7 Andrew Woolard S A College High School 8 Nakiesha van Wyk Spes Bona Secondary School 9 Bronson Rudner S A College High School 10 Rebecca Stead El Shaddai Christian School Grade 8: Pairs 1 Jonathan Botha / Woo Duk Jin Fairmont High School 2 James Sloane / Geonhee Wang High School 3 Sumin Kim / Eunji Lee High School Grade 9: Individuals 1 Soo-Min Lee Bishops 2 Tae Jun Park Rondebosch Boys’ High School 3 Mark Doyle 4 Michael Thomson Bishops 5 David Brooke Rondebosch Boys’ High School 6 Jonti Oehley Bishops 7 Amy Chung Herschel High School 8 Shandukani Mulaudzi Herschel High School 2

9 Cameron Naidoo High School 10 Christopher Hooper Rondebosch Boys’ High School

Grade 9: Pairs 1 Christian Cotchobos / Sam Jeffery Bishops 2 Georg Janowski / Art van der Lingen Constantia Waldorf 3 Matthew Blackbeard / Julian Loggenberg Elkanah House Grade 10: Individuals 1 Robin Visser St George’s Grammar School 2 Christopher Kim Reddam House College 3 Warren Black Bishops 3 Murray McKechnie Bishops 5 Jonathan Alp 5 Ryan Broodryk Westerford High School 7 Matthew Poulter Rondebosch Boys’ High School 7 Michelle van der Merwe Herschel High School 9 Sungkuk Lee High School 9 Reuben Steenekamp Reddam House Constantia Grade 10: Pairs 1 Liam Byren / Ahmad Dutton Rondebosch Boys’ High School 2 Youn Suk Choi / Thomas Prins Cannons Creek High School 2 Ye-eun Jung / Rachel Suttle Wynberg Girls’ High School Grade 11: Individuals 1 Guy Paterson-Jones Bishops 2 Lauren Denny Rustenburg Girls’ High School 3 Annemiek Meyer Reddam House Constantia 4 Gerben Draaijer Paul Roos Gimnasium 5 Musa Omar 6 Lauren Duckitt Rustenburg Girls’ High School 6 Altus van Bosch Bellville High School 8 Martin Batˇek Reddam House Constantia 9 Sevi Steingaszner Bishops 10 Dylan Carstens Ho¨erskool Stellenberg 10 Dong-Eup Nam Bishops Grade 11: Pairs 1 Jaydon Farao / Ziyaad Adam Bishops 2 Daniel Chung / Adam Smith Bishops 3 Zack Bashala / Ju-an Delport High School 3

Grade 12: Individuals 1 Robert Spencer Westerford High School 2 Mickey Chew Elkanah House 3 Matthew Coulson Reddam House Constantia 4 Hekkie Breytenbach Paarl Gimnasium 5 Timothy Meier Westerford High School 6 Jeong Tae Kim S A College High School 6 Paul le Roux Parel Vallei High School 8 Ihsaan Bassier Rondebosoch Boys’ High School 9 Johannes Schoeman Parel Vallei High School 10 Khadija Brey Wynberg Girls’ High School 10 Seshadari Moodley Heritage College

Grade 12: Pairs 1 Nimombe Namtchougli / Claude Piessou Abbotts College Claremont 2 Shinyoung Kim / Ha Som Suh Cannons Creek High School 3 Ingrid Kok / Hendrik van Schalkwyk Jan van Riebeeck High School

School Awards Every school that entered at least ten individuals, but did not win a Gold Award, qualified for a School Prize. The prize (a book donated by Oxford University Press) was awarded to the individual in that school who had achieved the highest ranking in any grade in the school.

Al-Azhar High School Nadeema Smith (10) Atlantis SekondˆereSkool Teneal Bosman (10) Bridge House Nina Buys (8) High School Cullam Geyser (10) Cape Academy of Maths & Science Zakariyah Toyer (10) CBC St John’s Parklands Seok-Young Jeong (11) Chesterhouse Richard Curran (10) Claremont High School Tala Ross (9) Cosat Odwa Madikane (12) Cravenby Secondary School Chant´eGordon (10) Curro Private School Tiaan Smit (8) D F Malan High School Tonia Schoeman (10) Darul Arqam Islamic High School Omar Larney (9) Darul Islam High School Saulegh Samaai (11) De Kuilen High School Janneman Gericke (12) Diazville SekondˆereSkool Jamy Stofberg (9) 4

Drostdy H T S Jaco du Plessis (10) High School Christel Kruger (9) Esangweni Senior Secondary School Anathi Mangqwengqwe (12) French School Jules van der Walt (8) Gardens Commercial High School Wardiah Mouden (10) Garlandale High School Treverson Dlamini (11) High School Luqmaan Daniels (9) High School Kayla Harker (8) Harold Cressy High School Yahyaa Awaldien (8) Herzlia Middle School Olvia Bernstein (9) Ho¨erMeisieskool Bloemhof Lize Draaijer (12) Ho¨erskool Bellville Altus van Bosch (10) Ho¨erskool Durbanville Christa Wessels (11) Ho¨erskool Hopefield Ruan Brand (8) Ho¨erskool President Lelanie Hoffmann (11) Ho¨erskool Stellenbosch James-John Matthee (11) Ho¨erskool Strand Carl Theunissen (10) Ho¨erskool Swartland Tienie Bester (8) Hottentots Holland High School Jae-Seong Mun (12) High School Ncedo Jako (12) Hugenote Ho¨erskool Annalise Heydenrych (9) Iqhyiya Senior Secondary School Zimkhitha Twala (9) Islamia Boys’ College Abdul-Mueen Gazgay (8) Islamia Girls’ College Munira Hoosain (11) J G Meiring Jamie Ceasar (9) Khanyolwethu Senior Secondary School Yamkela Matolengwe (10) Kleinvlei High School Riaan Vermeulen (9) Leap Science & Maths No.1 Onela Makabane (12) Leap Science & Maths No.2 Andile Simanga (12) Lentegeur Senior Secondary School Malcolm van der Pos (10) Luhlaza High School Zimie Sigenu (10) Malibu High School Seth Strydom (8) Manyano High School Sanele Mangena (10) Mondale Senior Secondary School Ethan Buckinjohn (10) High School Henry Ker (10) New Orleans S S School Sharfa Abrahams (10) Norman Henshilwood High School Haneef Ebrahim (9) Oval North Senior Secondary School Michaela Lee Wyngaard (10) Paarl Boys’ High School Graham Hockey (9) 5

Paarl Girls’ High School Marina Smuts (9) Clinton Cloete (12) Plumstead High School Mikaeel Hendriks (9) Reddam House Atlantic Seaboard Lisa Zou (12) Rhenish Girls’ High School Hyerim Kim (12) Rhodes High School Nikita Adams (8) Rocklands Secondary School Cameron Kleinsmith (8) Sans Souci Girls’ High School Kirsten Kannemeyer (11) Sarepta SekondˆereSkool Shola Domingo (9) High School Siya Kali (9) Settlers High School Ishrat Undre (10) Simon’s Town High School Nosipho Manyase (10) Somerset College Adam Henman (10) Sophumelela High School Ndiphiwe Ncwadi (12) South Peninsula High School Ali Waggie (11) Zaahid Ismail (10) Steenberg High School Jacog Wegener (12) Strandfontein Secondary School Ancois Jardine (9) High School Marc Beauchamp (8) The Oracle Academy Abdul-Basiet Firfirey (10) Weston High School Jowellyn Afrikaner (12) Westridge High School Sharne Sandlana (8) Windsor High School Ammaarah Kamaldien (9) Wittebome High School Razaan Bester (12) Woodlands High School Shingai Gunha (12) Worcester Gymnasium Zeyu Sun (12) Wynberg Boys’ High School Jason Bright (10)

Trophies The Diane Tucker Trophy, awarded to the top girl in the competition, was won by Lauren Denny (Rustenburg Girls’High School). The UCT Trophy, awarded for the best performance by a school which had competed at most three times in the competition, was won by Claremont High School. The Moolla Trophy, for a notable performance by a school from a disad- vantaged community, was awarded to Manyano High School. The Mona Leeuwenburg Trophy, for the best overall performance, was awarded to Bishops. 6

School ranking A school score is obtained by adding the top 30 scores (individual or pairs) in each school. By this measure the top 20 schools were:

1 Bishops 2 Rondebosch Boys’ High School 3 Parel Vallei High School 4 Westerford High School 5 Reddam College Constantia 6 Rustenburg Girls’ High School 7 Herschel High School 8 S A College High School 9 10 Wynberg Boys’ High School 11 Paul Roos Gymnasium 12 Elkanah House 13 Paarl Boys’ High School 14 Paarl Gimnasium 15 Bridge House School 16 Wyjnberg Girls’ High School 17 Herzlia 18 El Shaddai Christian School 19 20 Pinelands High School

A free set of competition papers, with answers, may be obtained by sending a stamped self-addressed B5 envelope (220 mm by 160 mm) to

The Director, UCT Mathematics Competition Department of Mathematics and Applied Mathematics 7700 RONDEBOSCH

Books of question papers of previous years, with full solutions, statistics and lists of award winners, are also available — see the order form at the back of the magazine.  Sponsored by