High School Challenge




One Hundred Squares


A student said the sum of the first 100 counting numbers squared is the incorrect value of 338,077 and used a calculator to get that answer. The answer was generated by entering one square twice and not entering one square. What counting numbers could be causing the error?


Correct Solutions:


  1. Gregory Winston. O'Neill C.V.I., Oshawa, Ontario, Canada
  2. Sorin Ionescu. Ecole Secondaire Dorval, Dorval, Quebec, Canada
  3. Xingji Zheng. Abby Senior SS, Abbotsford, BC, Canada
  4. Michael Moyer.The Way Home School, Carlisle, PA
  5. Amanda Vicary. Farmington HS, Hanna City, IL
  6. Wojciech Lewkowicz. Lemont HS, Lemont, IL
  7. Adrian Caramaliu, I.L.Caragiale HS, Ploiesti, Romania
  8. Lars Erik Walle. Thor Heyerdahl VGS, Larvik, Norway
  9. Shu Duan. Ecole Marie-Esther, Shippagan, New Brunswick, Canada
  10. Bruce Chou. Spruce Creek HS, Port Orange, FL
  11. Yona Levine. Lehava, Kedumim, Israel
  12. Assaf Romm. Brener HS, Israel
  13. Katie Dawson. Newnan HS, Newnan, GA
  14. Tyler Stephenson. Spruce Creek HS, Port Orange, FL
  15. Rebecca Solomon. Royal West Academy, Montreal, Quebec, Canada
  16. Amit Sharma. Carteret HS, Carteret, NJ
  17. Ranen Ghos., Spruce Creek HS, Port Orange, FL
  18. Daniel Casper, Eagle Rock JHS, Idaho Falls, ID
  19. Elin St†bi. F„rila School, Sweden
  20. Jolyon Bloomfield. Wollumbin HS, Uki N.S.W, Australia
  21. Fang Liu. South Hills HS, Covina, CA
  22. Kim Waite. Spruce Creek HS, Port Orange, FL
  23. Joseph Raffetto. James M. Bennett HS, Salisbury, MD
  24. Chris Lawson. Schuylerville CS, Schuylerville, NY
  25. Richard Deming. PL Dunbar MS, Fort Myers, FL
  26. Paul Pollack. Gulf HS, New Port Richey, FL
  27. Indrava Roy. Kendriya Vidyalaya HS, Gaya, Bihar, India
  28. Miguel Mosedeen. Carteret HS, Carteret, NJ
  29. Jill O'Donnell. Carteret HS, Carteret, NJ
  30. Leonardo Rodriguez. Facultad de Ingenieria, Montevideo, Uruguay
  31. Matt Hartman. Granite Hills HS, El Cajon, CA
  32. Edgar Pantoja. Carteret HS, Carteret, NJ
  33. Scott Wessels. Granite Hills HS, El Cajon, CA
  34. Duc Thai. Rostrevor College, Adelaide, South Australia
  35. Joe Haller. Nevada HS, Nevada, IA
  36. Torbjoern Elvsaashagen, Thor Heyerdahl vgs., Larvik, Norway
  37. Vincent Barro, Spruce Creek HS, Port Orange, FL
  38. Navreet Kohli. Spruce Creek HS, Port Orange, FL
  39. Armando Simoes. Instituto Superior de Gestao Bancaria, Porto, Portugal
  40. Guowen Wei. C.W. Jefferys CI, Toronto, Ontario, Canada
  41. Bella Voldman. Brookline HS, Brookline, MA
  42. Vincent Proy. Corry Area HS, Corry, PA
  43. Lilly Tenebruso. Monona Grove HS, Monona, WI
  44. Sharan Singh. Carteret HS, Carteret, NJ
  45. Justin Lam. College Park HS, Pleasant Hill, CA