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Circles and Lines

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What is the maximum number of points of intersections when two circles and six lines intersect each other?

March 28, 2005
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Phillip Ai. Warnsdorfer Elementary School, East Brunswick, NJ
  2. Aristides Kyriakakis. Thessaloniki, Greece
  3. Sesinizi Duyurmayin. Sesli sohbete ne dersiniz? Burayi Tiklayin, Turkey
  4. Radu Casian Ionescu. Montreal, Quebec, Canada
  5. Mike Osterfoss. Colorado School of Mines, Golden, CO
  6. Klemen Kovacic. OSZO, Kocevje, Slovenia
  7. Eric Munson. UCLA, Los Angeles, CA
  8. Bob Mitchell. Normal, IL
  9. Sarah Chen. Marie Curie Middle School, Bayside, NY
  10. Mac Dillon. Brookstone School, Columbus, Ga
  11. Cindy Sung. Duchesne Academy, Houston, TX
  12. Mr. Cambra. Hastings Middle School, Fairhaven, MA
  13. Sean Soni. Crayton Middle School, Columbia,  SC
  14. Jerrold Greenberg. New York, NY
  15. Jason Baptista. Dartmouth High School, Dartmouth, MA
  16. Doug Bedard. Dartmouth High School, Dartmouth, MA
  17. Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece
  18. Tim Poe. Austin TX
  19. David Yelle. Federal Way, WA
  20. Goulas Dimitris. NBG, Larissa , Greece
  21. Alan O'Donnell. Woking, UK
  22. Roland Vyncke. Brugge, Belgium
  23. James Endicott.  Good Counsel High School.  Wheaton, MD
  24. Keisha Rodrigues. Lawrence Junior High, Falmouth, MA
  25. Mr. ALmeida. Lawrence Junior High, Falmouth, MA
  26. Geroom Fierens. Bornem, Belgium
  27. Dennis Muniz. Commack, NY
  28. Aliasgar Dahodwala. Univeristy Of Massachusetts Dartmouth, Dartmouth,
    MA
  29. Brian Miranda. Univeristy Of Massachusetts Dartmouth, Dartmouth, MA
  30. Jesse Westbrock. Sauk Centre High School, Sauk Centre, MN
  31. Isaac Schrieber. Sauk Centre High School, Sauk Centre, MN
  32. Lisa Vigliotti. Lawrence Junior High, Falmouth ,MA
  33. Farhana Dossa. Southridge School, Surrey, BC, Canada
  34. Lindsey Camara. Dartmouth High SChool, MA
  35. Luan Luu. CSU Long Beach, Long Beach, CA
  36. Aquil Virani. Southridge Senior School, Surrey, BC, Canada
  37. Ali Chavez. Creekwood Middle school, Kingwood, TX
  38. Lusha Zhou. Richmond Secondary, BC, CA
  39. Frank McGartland.  Saskatoon,  SK., Canada
  40. Alexander Perrone. Stanton College Prep, Jacksonville, Fl
  41. Tyler Windham. Brookstone High School, Columbus, GA
  42. Cameron S. Derek Zoolander School, New York, NY
  43. Nicole Reilly. Pine View School, Osprey, FL
  44. Nikita Kitaev. South Pasadena Middle School, South Pasadena, CA
  45. Hannah Kan. South Pasadena Middle School, South Pasadena, CA
  46. David Friedman. Sippican Elementary School, Marion, MA
  47. Sahana Vasudevan. Country Parkway Elementary  School, Williamsville, NY
  48. Holger Dippel. UMass Dartmouth
  49. Evan Durant. Dartmouth High School, Dartmouth, MA
  50. Adrian Atanasiu. Bucharest University, Romania
  51. Omer Parlu. Yuzyil Isil Primary S, Istanbul, Turkey
  52. Tara Meyer. Sauk Centre High School, Sauk Centre, MN
  53. Jessica Wiener. Sauk Centre High School, Sauk Centre, MN
  54. Molly Simkins. Brookstone School, Columbus, GA
  55. Lindsey Camara. Dartmouth High School, Dartmouth, MA
  56. Pedro Fernandes. Dartmouth High School, Dartmouth, MA
  57. Tony Brown. Georgia Tech, Atlanta, GA
  58. Shayla Winkler. Nemaha Valley Junior High, Seneca, KS
  59. Rohit Bollineni. Power Middle School, Farmington Hills, MI
  60. Sahit Bolllineni. Highmeadow Common Campus, Farmington Hills, MI
  61. Tigran Grigoryan. Armenia, Yerevan
  62. Amy Shoemyer.  South Shelby High School, Shelbina, MO
  63. Paul McNally. Carusi Middle School, Cherry Hill, NJ
  64. Farzam Vafa. Kosar high school, Iran
  65. Goula Helen.  4th Gymanasium, Larissa,  Greece
    33% of respondents successfully answered this problem. 


 



 Last Updated On: 11/16/05

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