High School Challenge

Week Ending 2-6-00

Congratulations to Ben Hedberg from Madison Elementary School in El Cajon, CA. Ben wins the Casio CFX-9850G Color Graphing calculator.

Weird Division

When you divide 7 by 5, you get an answer of 1 with a remainder of 2 (1 R 2). When you divide 9 by 7, you get 1 R 2. Since the answers are the same for the two problems, the transitive property of equality would allow us to say that seven divided by 5 is equivalent to 9 divided by 7. We know that is not true because one gives a decimal answer of 1.4 and the other gives a decimal answer of 1.285714 . What is wrong? Defend your answer. Note that this question was spawned in a mathematics class being taught by Professor Peter Hilton at the University of Central Florida.

Correct Solutions:

1. Andrew Evans. Aptos JHS, Aptos, CA
2. Peter Tanpitukpong. John Dickinson HS, Wilmington, DE
3. Yu Jiang. Christchurch Boys' HS, Christchurch, New Zealand
4. Britta Lundin. Astoria HS, Astoria, OR
5. Han Jiang. Merrin PS, Christchurch, New Zealand
6. Karl Spurzem. Westide MS, Omaha, NE
7. Jongmin Baek. Hyde JHS, Cupertino, CA
8. Floyd Newberry. Central Mountain HS, Mill Hall, PA
9. Eric Chin. Castro Valley HS, Castro Valley, CA
10. Mark Bicket. North HS, Edmond, OK
11. Lisa Plesko. Kingwood HS, Kingwood, TX
12. Tiffany Chao. Seaquam SS, Delta, BC, Canada
13. Victor Putra Lesmana. Canisius College, Jakarta, Indonesia
14. Ben Sandness. Bishop Heelan Catholic HS, Sioux City, IA
15. Samuel Timothy Dy. St Stephen's HS, Manila, Philippines
16. Jason Juang. Sycamore JHS, Cincinnati, OH
17. Jan Nordbotten. Cathedral School, Bergen, Norway
18. Eric Evans. Mar Vista ESchool, Aptos, CA
19. Dyson Xu. Donview MS, North York, ON, Canada
20. Alex Shim. Framingham HS, Framingham, MA
21. Andrew Donelson. East JHS, Boise, ID
22. Kevin Shannon. Melbourne HS, Melbourne, FL
23. Michael Segal. Baldi MS, Philadelphia, PA
24. Bithyah Shaparenko. Dalet School, Bethel, PA
25. Yana Malysheva. Urbana HS, Urbana, IL
26. Libby Schuville. Cold Spring Harbor HS, Cold Spring Harbor, NY
27. Alim Assar. Kilgour ES, Richmond, BC, Canada
28. Farhaan Assar. Kilgour ES, Richmond, BC, Canada
29. Sibo Zhao. Amador Valley HS, Pleasanton, CA
30. Dina Gohar. The Hewitt School, New York, NY
31. Jonathon Vallejo. Westside MS, Omaha, NE
32. Linda Farmer. Dresden HS, Dresden, TN
33. Albert Wang. Los Alamos HS, Los Alamos, NM
34. Denise Pollard. Granite Hills HS, El Cajon, CA
35. Maiyuran Arumugam. James Ruse AHS, Carlingford, NSW, Australia
36. Anton Malyshev. Anton's Home School, Urbana, IL
37. Kevin Chan. Seminole HS, Sanford, FL
38. Lorelei Larking, Winsor School, Boston, MA
39. Sophy Zheng. Oak Park & River Forest HS, Oak Park, IL
40. John Peters. Bishop Kenny HS, Jacksonville, FL
41. James Duong. Santa Barbara HS, Santa Barbara, CA
42. Eugene Feldman. Berkshire MS, Franklin, MI
43. Ben Hedberg. Madison Ave, ES, El Cajon, CA
44. Joni Salonen. Kuopion Lyseon Lukio, Kuopio, FI
45. Chris Mann. James Ruse AHS, Carlingford, NSW, Australia
46. David Valcourt. Massabesic HS, Waterboro, ME
47. Tim Hinkel. Bigfork HS, Bigfork, MT
48. Henry Zhao. James Ward ES, Chicago, IL
49. Dan Twaddell. Chagrin Falls MS, Chagrin Falls, OH
50. Lennart Galinat. Cheadle Hulme College, Stockport, England
51. Philip Howie. Cheadle Hulme College, Stockport, England
52. Andrew Smalls. Oviedo HS, Oviedo, FL
53. Ulrik Buchholtz. Gl Hellerup Gymnasium, Hellerup, Denmark
54. James Dayton. Bigfork HS, Bigfork, MT
55. Michael Guzik. Guzik Learning Center, San Diego, CA
56. Connie Oh. Hayfield SS, Alexandria, VA
57. Pradeep Baliga. Central HS, Tuscaloosa, AL
58. Kady Gerry. Middleton HS, Middleton, WI
59. Jonathan Landy. Warren Central, Indianapolis, IN
60. Amanda LaPage. Newark Valley HS, Newark Valley, NY
61. Asher Walkover. Rambam Mesivta, Lawrence, NY
62. John Driggers. Stanton College Preparatory School, Jacksonville, FL
63. Yuchen Mao. Little Oak MS, Slidell, LA
64. Tom Macie. Home School, Oconomowoc, WI
65. KatyLu Siciliano. Creekwood MS, Kingwood, TX
66. Curt Cook. Newport Harbor HS, Newport Beach, CA
67. Kim Ward. Creekwood MS, Kingwood, TX
68. Velian Pandeliev. St Joseph's Catholic IS, Ottawa, ON, Canada
69. Aaron Cheung. Earl Haig SS, North York, ON, Canada
70. Tao Chen. Miller MS, San Jose, CA
71. Robert Gee. Vista Grande ES, Danville, CA
72. Daniel Gee. Stone Valley MS, Alamo, CA
73. Amanda Graham. Pinelands Regional HS, Tuckerton, NJ
74. Anton Sova. Battery Creek HS, Beaufort, SC
75. Andrew Henderson. Valley City HS, Valley City, ND
76. Matt Elder. Lexington HS, Lexington, SC
77. Amol Saincher. Southridge School, Surrey, BC, Canada
78. Carrie Dukes. Newport Harbor HS, Newport Beach, CA
79. Ivica Nikolik. Ishpeming HS, Gwinn, MI
80. Dounan Hu. C E Jordan HS, Durham, NC
81. Xi Wang. Kelvin HS, Winnipeg, MB, Canada
82. Xing Yun Zhi. George Washington HS, San Francisco, CA
83. Julien Rioux. Ozias-Leduc SS, Saint-Hilaire, QC, Canada
84. Fu Min Cao. Galileo HS, San Francisco, CA
85. Jonathan Huang. Newport Harbor HS, Newport Beach, CA
86. Robyn Bissonnette. Newport Harbor HS, Newport Beach, CA
88. Nancy Tsai. Southridge School, Surrey, BC, Canada
89. Alex Greene. Winter Springs HS, Winter Springs, FL
90. Ben Holladay. Little Oak School, Slidell, LA
91. David DuPuis. Chagrin Falls MS, Chagrin Falls, OH
92. Eve Burstein. The Robert C Parker School, North Greenbush, NY
93. Sandy Ho. Southridge School, Surrey, BC, Canada
94. Geneviève St James. Centennial HS, Greenfield Park, QC, Canada
95. John Jenkins. Southridge School. Surrey, BC, Canada
96. Luke Elder. Southridge School. Surrey, BC, Canada
97. John Jenkins. Southridge School. Surrey, BC, Canada
98. Joshua Powell. Marietta HS, Marietta, GA
99. Mike Haas. Westside MS, Omaha, NE
100. Sasha Zakharin. Moshe Aaron Yeshiva HS, South River, NJ
101. Haakan Lundin. Astoria HS, Astoria, OR
103. Titus Wong. Olomana School, Kailua, HI
104. Eric Lawson. Swanson ES, Omaha, NE
105. Derek Chu. McRoberts SS, Richmond, BC, Canada
106. Kelly McFarland. Lakes MS, Coeur d'Alene, ID
107. Brian Windmiller. Zionsville HS, Zionsville, IN
108. Tom Maher. Merritt Island HS, Merritt Island, FL
109. Gwen Lawson. Westside MS, Omaha NE
110. Heather Rahmlow. Fox Valley Lutheran HS, Appleton, WI
111. Anant Gupta. Troy HS, Troy, MI
112. Bobby Gajic. Creekwood MS, Kingwood, TX
113. Joseph Shao. Bartle School, Highland Park, NJ
114. Brendon Hansen. Newport Harbor HS, Newport Beach, CA
115. Anish Gupta. Troy HS, Troy, MI
116. Ye Jin Kwack. George Washington HS, San Francisco, CA
117. Enrique Gonzalez. Kinloch Park MS, Miami, FL
119. Anant Nyshadham. Brookstone HS, Columbus, GA
120. Justin Lam. College Park HS, Pleasant Hill, CA
121. Elena Udovina. Agnon MS, Beachwood, OH
122. Kevin Jiang. Merrin PS, Christchurch, New Zealand
123. Jayme Kaddatz. Fox Valley Lutheran School, Appleton, WI
124. Alex Schwendner. Austin Area Homeschoolers, Austin, TX
125. Wong Hoi Ko. Pooi Tun SS, Kowloon, Hong Kong
126. Kristin Hood. Bishop Moore HS, Orlando, FL
127. Jonathan Kay. Milken Community HS, Bel Air, CA
128. Margaret Tankard. O Henry MS, Austin, TX
129. Johnathan Chung. Barrington HS, Barrington, IL
130. Lauren Nykamp. Bishop Moore HS, Orlando, FL
131. Haynes Haselmaier. Picayune Memorial HS, Picayune, MS