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Sum of a Million

1,000,000



What is the sum of all the digits needed to write each counting number from 0 through 1,000,000?For example, the sum of all the digits needed to write each counting numbers from 18 through 23 would be 1+8+1+9+2+0+2+1+2+2+2+3=33.

January 30, 2006
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ
  2. Adrian Atanasiu. Bucharest, Romania
  3. Radu Ionescu. Montreal, Quebec, Canada
  4. Alexander McAvoy. Southampton, MA
  5. Frank McGartland. Saskatoon, SK., Canada
  6. Charles Keebaugh, Colorado Springs, CO
  7. Shaan Arora. Brookstone School, Columbus, GA
  8. Sagar Patel. Brookstone School, Columbus, GA
  9. Sahana Vasudevan. Vargas Elementary School, Sunnyvale, CA
  10. Nancy Huynh. MVRCS Upper School. Everett, MA
  11. Wenlin Fan. Mountain Top, PA
  12. Akash Goyal. Miami Valley School, Dayton, OH
  13. Kyle Moon. Forsyth Country Day School, Winston-Salem, NC
  14. Brianna Loo. South Pasadena Middle School, South Pasadena CA
  15. Carrie Worcester. Forsyth Country Day School, Lewisville, NC
  16. Tim Poe. Austin, TX
  17. Brian Hetrick. UNH, Durham, NH
  18. Mridul Singh. Kendriya Vidyalaya, Happy Valley, Shillong, India
  19. Marius Damian. Braila, Romania
  20. Jerrold Greenberg. New York, NY
  21. Bob Mitchell. Normal, IL
  22. Jim LeBlanc. West Warwick, RI
  23. Mike Osterfoss. Moore, SC
  24. Timothy Yales. Westland, MI
  25. Jerome Cherry. Mundare, Alberta, Canada
  26. Max White. South Pasadena Middle School, South Pasadena, CA
  27. Sarah Chen. Marie Curie Middle School, New York, NY
  28. Brittany Cole. Dartmouth High, Dartmouth, MA
  29. Iver Meng. South Pasadena Middle School, South Pasadena, CA
  30. Hamilton Hardison.  University of Georgia, Athens, GA
  31. Teruo Goto. Aichi, Japan
  32. Jonathan Foster
  33. Rin Sone. South Pasadena Middle School, CA
  34. Roland Vyncke. Brugge, Belgium
  35. Francois Bonjean.  Namur, Belgium
  36. Greg LaCroix, Somerdale, NJ
  37. Thomas Robertson. Riverside, RI
  38. Ben Geiske. Sauk Centre HS, Sauk Centre, MN
  39. Derek Brown. Forsyth Country Day School, Lewisville, NC
  40. Emil Lalov. Mathematical High School, Pleven, Bulgaria
  41. Tiffany Chen. South Pasadena Middle School, South Pasadena, CA
  42. Michelle Lam. South Pasadena Middle School, South Pasadena, CA
  43. Melissa Chaffin. University of Georiga, Athens, GA
  44. Leong HoongHan. Bukit Mertajam, Penang, Malaysia
  45. Gary Brensike. Fairfax, VA
  46. Rodney Clingaman. Fishers, IN
  47. Charlie King. Madison, MS
  48. Amanda Tu. Southridge School, Surrey, BC\
  49. Nikki Tan. Southridge School, Surrey, BC, Canada
  50. Andrew Sailor. Osceola Middle School, Ocala, FL
  51. Jennifer Sailor. Osceola Middle School, Ocala, FL
  52. Jared Kulmatyski. R.F. Staples, Westlock,AB
  53. Matthew Wong, South Pasadena Middle School, South Pasadena, CA
  54. George Hatzi. Southridge School, Surrey, B.C. Canada
  55. Lee Ouyang. Hunterdon Central Regional HS, Flemington, NJ
  56. Kristy Chang. South Pasadena Middle School, South Pasadena, CA
  57. Tina Kim. South Pasadena Middle School, CA
  58. Svadharma Keerthi. South Pasadena Middle School, CA
  31% of respondents successfully answered this problem. 


 



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