Bored





Bored?

A chess or checkerboard is an 8 by 8 square made up of 64 unit squares that alternate between 2 colors. Suppose you remove 2 squares from opposite corners. It does not matter which corners you use, as long as they are opposites.

You cannot divide the remaining 62 squares into 1 by 2 rectangles made up of a unit square of each color. WHY?


Correct Solutions:


  1. Quan Man. El Cerrito HS, El Cerrito, CA
  2. Morgan Chen. Mt. Carmel HS, San Diego, CA
  3. Chris Nuttall. Grissom HS, Huntsville, AL
  4. Justin Altman. Center for the Arts and Sciences, Saginaw, MI
  5. Christopher Rice. C.E. Byrd HS, Shreveport, LA
  6. Ashlea Fadem. Lake Highland Prep, Orlando, FL
  7. Melissa Bomar. Corona del Sol HS, Tempe, AZ
  8. Aly Merchant. Woburn CI, Toronto, Ontario, Canada
  9. Will Myers. Moore MS, Redlands, CA
  10. Chris Toenis. Sauk Centre HS, Sauk Centre, MN
  11. Tammie Nimmo. Sauk Centre HS, Sauk Centre, MN
  12. Kathleen Lysaught. Mannheim HS, Mannheim, Germany
  13. Koos van Zyl. Overkruin HS, Pretoria, South Africa
  14. Joel Merritt. Merritt Homeschool, Lutz, FL
  15. Alex Lorbert. Yeshivah of Flatbush HS, Brooklyn, NY
  16. Katie Dawson. Central MS, Newnan, GA
  17. Matt Charlan. Trinity Prep, Winter Park, FL
  18. Bryan Rosenbaum. Trinity Prep, Winter Park, FL
  19. Isaac Dooley. Vestavia Hills HS, Vestavia Hills, AL
  20. Gerald Bunch. Spanish River HS, Boca Raton, FL
  21. Adam Maberry. Buchanan ES, Pierre, SD
  22. Justin Lam. College Park HS, Pleasant Hill, CA
  23. Victor Mocanu. College de Montreal, Montreal, Quebec, Canada
  24. Michael Moyer. The Way Home School, Carlisle, PA
  25. Jan Rapp. Beaverton HS, Beaverton, OR
  26. Maurice Jackson. Louisa County HS, Mineral, VA
  27. Neil Fitzroy. Castle School, Thornbury, Bristol, UK
  28. Lee A. Davis. North Hopkins HS, Madisonville, KY
  29. Justin Halbersma. Sauk Centre HS, Sauk Centre, MN
  30. Doug Shannon. Hillsboro HS, Hillsboro, OH
  31. Seth Storer. Hillsboro HS, Hillsboro, OH
  32. Beth Wilson. Apollo JHS, Richardson, TX
  33. Amber Bromenshenkel. Sauk Centre HS, Sauk Centre, MN
  34. Mike Grange. Rising City HS, Rising City, NE
  35. Clinton Peterson. Kent Meridian HS, Kent, WA
  36. Erik Lamb. Maroa-Forsyth HS, Maroa, IL
  37. Aurelien Ramseyer. Kent Meridian HS, Kent, WA
  38. Richard Heid. Lincoln Park HS, Chicago, IL
  39. Adam Bliss. Collins Hill HS, Suwanee, GA
  40. Scott Smith. Powell HS, Powell, TN
  41. Ming De Lin. Fair Lawn HS, Fair Lawn, NJ
  42. Ronald Renelick. Ipswich HS, Ipswich, MA
  43. Channing Slate. North Hopkins HS, Madisonville, KY
  44. Kain Chang. National Junior College, Singapore
  45. Daniel Casper. Eagle Rock JHS, Idaho Falls, ID
  46. Ing-Kye Sim. Applecross HS, Perth, Australia
  47. Michael Allshouse. Briarhill MS, Highland Village, TX
  48. Drew Clary. North Hopkins HS, Madisonville, KY
  49. Kitty Baxter. The Mount School, York, England, UK
  50. Catherine Harrison. The Mount School, York, England, UK
  51. Jonathan Stein. Yeshivah of Flatbush HS, Brooklyn, NY
  52. David Barsic. Franklin Regional HS, Murrysville, PA
  53. Nick Westfahl. Maize HS, Maize, KA
  54. Eric Jenness. Camels Hump MS, Hutington, VT
  55. Nick Gurski. Caddo Magnet HS, Shreveport, LA
  56. Rob Sweney. Lakes MS, Coeur d'Alene, ID
  57. Yang Liu. Davis HS, Davis, CA
  58. Megan Hope. Ocean City HS, Ocean City, NJ
  59. Greenfield Lee. St.Annes School, Porterville, CA
  60. Chris Glaser. St. Thomas More, Houston, TX
  61. Chad Fugate. Madisonville North Hopkins HS, Madisonville, KY
  62. Jan Erik Espelid. Austrheim HS, Austrheim, Norway
  63. Cricket Denton. Ocean City HS, Ocean City, NJ
  64. Joel Dougan. Ocean City HS, Ocean City, NJ
  65. Aidan Smith. Walkersville HS, Walkersville, MD
  66. Jennifer Jeffas. Walkersville HS, Walkersville, MD
  67. Matt Doyle. Walkersville HS, Walkersville, MD
  68. Craig Chasseur. Center for Arts & Sciences. Saginaw, MI
  69. Kathryn Larson. Oviedo HS, Oviedo, FL
  70. Stacy Finkbeiner. Center for Arts & Sciences. Saginaw, MI
  71. Jeff Steinberg. Rickards HS. Tallahassee, FL
  72. Becky Cassell. Rickards HS. Tallahassee, FL
  73. Emmalee Barbour. Rickards HS. Tallahassee, FL
  74. Robby Marcs. Rickards HS. Tallahassee, FL
  75. Belal Ghaffari. Rickards HS. Tallahassee, FL
  76. Rick Allison. Lyman HS, Longwood, FL
  77. Darren Kwong. South Pasadena MS, South Pasadena, CA
  78. Tetsuya Matsuguchi. Centennial HS, El Boise, ID
  79. Chris Barrow. Northwest MS, Greensboro, NC
  80. Shereen Kassam. Lake Highland Prep, Orlando, FL
  81. Matt Stamm. Leonardtown HS, Leonardtown, MD
  82. Christopher Coyle. Msgr. Donovan HS, Toms River, NJ
  83. Daniel Coyle. Msgr. Donovan HS, Toms River, NJ
  84. Scott Lape. Msgr. Donovan HS, Toms River, NJ
  85. Drew McKevitt. Msgr. Donovan HS, Toms River, NJ
  86. Zahara Kassam, Lake highland Prep, Orlando, FL
  87. JJ Murphy. Oblong HS, Oblong, IL
  88. Michelle Simmons. Oviedo HS, Oviedo, FL
  89. David Geng. Davis HS, Davis, CA
  90. Bryan Littell. Oviedo HS, Oviedo, FL
  91. Mike Barnes. Walkersville HS, Walkersville, MD