Results 
                  of  “The Nine Chapters on the Mathematical Art” Contest 
                  2009 
                   
                  “The Nine Chapters on the Mathematical Art” 
                  Contest (NCC) is a math contest designed for students of 
                  Grades 3 to 10 as a warm-up for the Canadian Math Contests. 
                  The contest is named after the Chinese ancient classic book 
                  "The Nine Chapters on the Mathematical 
                  Art". NCC began in 2008. Many 
                  attendees of NCC08 achieved distinctive honours this year in 
                  Canadian Math Contests, among them 
                  including:
                  
                  A few others also achieved first, second or 
                  third places of their schools. Congratulations to all of 
                  them!
                  
                  
                  The Nine Chapters on the Mathematical Art 
                  Contest received strong response again this year. The Problems 
                  Committee and Problem Editor worked very hard for months to 
                  design the contest. They 
are:
                  
                    
                      Problems 
                      Committee: 
                      
                      Will Ma 
                      (Chair) 
                      
                      Shalev 
                      Ben-David 
                      
                      Louis 
                      Hong
                      Leanne Hou
Helen 
                      Hu
                      Lucy 
                      Xie
                       
                      Problem 
                      Editor:
                      Amlesh 
                      Jayakumar
                  A total of 56 students wrote the contest 
                  this year. The contest results are as 
                  follows:
                  
                  
                  Student Honour Roll: 
                  
                  
                  
                  The Group of Grades 7 through 10 (Group 
                  Average Score 58.2)
                   
                  First 
                  Prize (Tied): 
                  Fengyang Wang, Centennial Public School, Score 
                  of 100
                  Tony Tianyi Zhang, Sir John A. Macdonald 
                  Secondary School, Score of 100 
                  
                  
                  
 
                  
                  
                  
                  
Third 
                  Prize:
                  Henry 
                  Zhu, Waterloo Collegiate Institute, Score of 
                  85
                   
                  Honourable Mention:
                  Jenny Yiming Chen, Sir John A. Macdonald 
                  Secondary School 
                  
                  Elbert Lai, Empire Public School 
                  
                  Arthur 
                  Wang, Sir John A. Macdonald Secondary 
                  School
                  
                  
                  The Group of Grades 5 and 6 (Group 
                  Average Score 40.4)
                   
                  First 
                  Prize: 
                  Lisa 
                  Bian, Winston Churchill Public School,Score of 
                  90
                  
                  
 
                  
                  
                  
                  
Second 
                  Prize:
                  Joshua Bohua Guo, Westmount Public School, Score of 
                  60
                   
                  Third 
                  Prize:
                  Tony 
                  Li, Mary Johnston Public School, Score of 
                  55
                   
                  Honourable Mention:
                  George 
                  Zhihua Yuan, Northlake Woods Public School
                  
                  
                  The Group of Grades 3 and 4 (Group 
                  Average Score 44.5)
                   
                  First 
                  Prize: 
                  Lanney F. Wang, Southridge Public School, Score 
                  of 75 
                  
                   
                  Second 
                  Prize (Tied):
                  Andy 
                  Bao, Sandhill Public School, Score of 60
                  Nancy 
                  Huang, Saginaw Public School, Score of 60
                  
                  
                   
                  Honourable Mention:
                  Donnel 
                  (Donny) Ren,Eadna Staebler Public School
                  Nicole 
                  Zou, Edna Stabler Public School
                  Mermer Wang, A.R. Kaufman Public 
                  School
                   
                  The 
                  above students will receive their certificates/prizes provided 
                  by the sponsor, Confucius Institute at the University of 
                  Waterloo, during the Chinese New Year celebration of 
                  Grand River Chinese School next year. Students may email 
                  gr_chineseschool@yahoo.ca to get 
                  their scores. 
                   
                  Organizing Committee of 
                  NCC09
                  
                  
 
                  
                  
                  
                  
                  
Questions 
                  and Solutions of the Nine Chapters on the Mathematical Art 
                  Contest (NCC) 2009 
                  
                  
                    
                      
                         
                        
                        
Cover 
                        Sheet
                        Part 
                        A                                        
 
                        Part A Solutions
                        Part 
                        B                                        
 
                        Part B Solutions
                        Part 
                        C                                        
 
                        Part C Solutions
                        Part 
                        D                                        
 
                        Part D 
                        Solutions
                        Part 
                        E                                        
 
                        Part E 
                        Solutions