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Root Difference


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Determine the difference between the number of perfect squares and cubes that exist between one hundred and one billion.

October 31, 2005
Happy Halloween
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Lisa Schechner. Schreiber HS, Port Washington, NY
  2. Rohit Bollineni. Power Middle School, Farmington Hills, MI
  3. Aristides Kyriakakis. Thessaloniki. Greece
  4. Jerome Cherry. Mundare, Alberta, Canada
  5. Omid Kohannim. UCLA, Los Angeles, CA
  6. Frank McGartland. Saskatoon, SK., Canada.
  7. Jerrold Greenbeg. New York, NY
  8. Can Oztoprak. Istanbul, Turkey
  9. Rafael Zambrano. Barranquilla, Colombia. SA
  10. Bar Greengrass. Israel
  11. Ben Gieske. Sauk Centre HS, Sauk Centre, MN
  12. Radu Casian Ionescu. Montreal, Quebec, Canada.
  13. Bob Mitchell. Normal, IL
  14. Raphael Chalhub. Pan American School of Bahia, Salvador, Bahia, Brazil
  15. Gustavo Amorim. Pan American School of Bahia, Salvador, Bahia, Brazil
  16. Steigen Johnson. Pan American School of Bahia, Salvador, Bahia, Brazil
  17. Francois Bonjean. Liege, Belgium
  18. Serena Kulmatyski. R.F. Staples, Westlock, AB, Canada
  19. Bojan Ilic. Prirodno-Matematicki Fakultet, Nis, Serbia & Montenegro
  20. Mark Wintczak, Naperville, IL
  21. Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece
  22. Seana McKee. Dartmouth High School, Dartmouth, MA
  23. Eugene Roytman, New York, NY
  24. Minray Yang, Carwise Middle School, Palm Harbor, FL
  25. Peter Kissinger. Arrowhead High School, Hartland, WI
  26. Catherine Cunningham. Creekwood Middle School, Kingwood, TX
  27. James Letendre. Southington High School, Southington, CT
  28. Vincent Dang. Stanton College Preparatory School, Jacksonville, FL
  29. Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ
  30. Shannon Sattler. Arrowhead High School, Hartland, WI
  31. Hamilton Hardison.  University of Georgia.  Athens, GA
  32. Peter Moynahan. Rye Junior High, Rye, NH
  33. Brian Hetrick, UNH, Manchester NH
  34. Alexander McAvoy. Southampton, MA
  35. John Wallace. Smiths, AL
  36. Sagar Patel. Brookstone School, Columbus, GA
  37. Cory Scruggs. Creeckwood Middle School, Kingwood, TX
  38. Mary Smith. Kissimmee, FL
  39. Graham Anderson. Faith Lutheran College, Plainland Qld, Australia
  40. David Lu. NYC
  41. Devan Lai. Saratoga High School, Saratoga, CA
  42. Max White. South Pasadena Middle School, South Pasadena, CA
  43. John Lee. Southridge School. Surrey, BC Canada
  44. Ms. Rothermel. Rye, NH
  45. Tim Poe. Austin, TX
  46. Rachel Bier. Dartmouth High Dartmouth, MA
  47. Sitharthan Sekar. Carwise Middle School, Palm Harbor, FL
  48. Alejandra Jimenez. Pan American School of Bahia, Salvador, Bahia,
  49. Adam Thibideau. Toronto, ON, Canada
  50. Joe Brophy. Boston, MA.
  51. Abigail Finger. Dartmouth High School, Dartmouth, MA
  52. Stuart Gerger. Arrowhead High School, Hartland, WI
  53. Sau Wai. Pan American Schoolof Bahia, Salvador, Bahia, Brazil
  54. John Ken. Pan American School of Bahia, Salvador, Bahia, Brazil
  55. William Henry. Whaite Station High School, Memphis, TN
  56. Iver Meng. South Pasadena Middle School, South Pasadena, CA
  57. Kira Kelley. Hartland Elementary School, Hartland, VT
  58. Rin Sone. South Pasadena Middle School, CA
  59. Kevin Temew. Davao Christian High School, Davao, Philippines
  60. Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA
  61. Alan Leung. Mississippi School for Mathematics and Science, Columbus, MS
  62. Genoa Warner. Dartmouth High School, Dartmouth, MA.
  63. Nancy Huynh. MVRCS Upper School, Everett, MA.
  64. Sooin Yoon. South Pasadena Middle School, South Pasadena, CA
  65. Nipuni Ratnayake. Creekwood Middle School. Kingwood, TX
  66. Matt Welsh.  Arrowhead High School, Hartland, WI
  67. Nikki Tan. Southridge, Surrey, BC, Canada
  68. George Hatzikiriakos. Southridge School, Surrey, BC, Canada
  69. Sunanda Mattancheril. White Station Middle School, Memphis, TN
  70. Kevin Temew. Davao Christian High School, Davao, Philippines
  71. Harry Siebert. Infineon, Munich, Germany
  72. Herman Timoteo. San Lorenzo Ruiz Academy of Polomolok, Philippines
  73. Daniel Pyon. South Pasadena Middle School, South Pasadena, CA
  74. Carl Sedgeman. Sauk Centre HS, Sauk Centre, MN
  75. Sean William. Murray Caboolture, Australia
  76. Aaron Foreman. Creekwood Middle School, Kingwood, TX
  77. Josh Gow. Sauk Centre HS, Sauk Centre, MN
  78. Ross Pacheco. Hastings Middle School, Fairhaven, MA
  79. Amanda Tu. Southridge School, Surrey, BC, Canada
  80. Ashvin Swaminathan. Harker Elementary School, CA
  81. Michelle Lam. South Pasadena Middle School, South Pasadena, CA
  82. Herman Timoteo. San Lorenzo Ruiz Academy of Polomolok, Philippines
  83. Cindy Sung. Duchesne Academy, Houston, TX
  84. Karina Shaw. Laguna Beach High School, Newport Beach, CA
  85. Verner Kiernan. Orlando, FL
  86. Sky Su. Brooklawn Middle School, Parsippany, NJ
  87. Patrick Gilroy. Creekwood Middle School, Kingwood
  88. Brianna Loo. South Pasadena Middle School, South Pasadena, CA
  89. Sahit Bollineni. Highmeadow Common Campus, Farmington Hills, MI
  90. Roland Vyncke, Brugge, Belgium
  91. Dennis Muniz. Commack, NY
  92. Daniel Sutherland. Dornoch Academy, Scotland
  93. Tiffany Chen. South Pasadena Middle School, South Pasadena, CA
  94. Katie Quinones. Trinity High School, River Forest, IL
  95. Katie Grunow. Trinity High School, River Forest, IL
  96. Anil Nataraj. Brookstone School, Columbus, GA
  97. Cray Math Project.  New Castle, PA
  98. Amanda Frankwick Arrowhead High School Hartland, WI
  99. Corinne Fortin. Hastings middle school, Fairhaven, MA
  100. Will Lewis. Creekwood Middle School, Kingwood, TX
  101. Svadharma Keerthi. South Pasadena Middle School, South Pasadena, CA
  102. Caroline Brander. Trinity High School, River Forest, IL
  103. Blakeley Coull.  St. Luke School, Smiths, AL
  104. Aaron Rose. Hastings Middle School, Fairhaven, MA
  105. Jared Gillespie Creekwood Middle School Kingwood, TX
  106. Taylor Dowlen, Creekwood Middle School, Kingwood, TX
  107. Hussein Nouri. Saint Leo University, St. Leo, FL
  108. Chiraag Gupta. Southridge School. Surrey, B.C. Canada
  109. Allan Toda. Southridge School, Surrey B.C. Canada
  110. Sarah Maldonado. Creekwood Middle School, Kingwood, Texas
  111. Ryan Elmer. Creekwood Middle School, Kingwood, TX
  112. Nathan Caldwell. DeLaura Middle School, Satellite Beach, FL
  113. Roger Ouyang. Adobe Bluffs Elementary School, San Diego, CA
  114. Matthew Wong. South Pasadena, South Pasadena Middle School, CA
  115. Lusha Zhou. RHS, Rmd, BC, CA
  116. Panu Korpela. Naenae Intermediate, Lower Hutt, New Zealand
  117. DeeDee Walker. St. Cloud, FL
  118. Jun Chen. South Pasadena, South Pasadena Middle School, CA
  119. Jonathan Liu. Churchill Junior High School, East Brunswick, NJ
  120. Dave P.  ISU, Uganda

  47% of respondents successfully answered this problem. 


 



 Last Updated On: 11/16/05

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