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This Web page is intended to record solutions submitted by students in
grades three through twelve.
Submissions will be posted starting February 1, 2005.
Rules: use the digits in the year 2005 and the operations of +, -, x, ÷, sqrt (square root), ^ (raise to a power), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100. Please read and follow the rules carefully. Teachers may print out worksheets for students to record their findings, or print sheets of manipulatives for students to use.
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| Solution | Name | Grade | School |
| (0.2*5)+0! | Jimmy Adams | 6 | Johnson Middle School |
| 5-2-0!+0 | Simon Alger | 10 | Cannons Creek |
| 5-2-0!-0 | Uwe Anselm | 7 | American International School of Vilnius |
| 2+50*0 | Carolina Aranda | 8 | Mount Olive Middle School |
| 0x5x0+2 | Chris Ashe | 6 | Johnson Middle School |
| 5-2-0!+0 | Asya Ashour | 7 | Mount Olive Middle School |
| 5*0*0+2 | Isra Ashour | 8 | Mount Olive Middle School |
| 0*5*0+2 | Jonathan Bailey | 6 | Johnson Middle School |
| 0.5x0+2 | Andrea Barry | 6 | Johnson Middle School |
| (5*2*0)!+0! | Tanvir Bhullar | 7 | Mount Olive Middle School |
| 5-2-0^0 | Andrew Bodin | 6 | Johnson Middle School |
| 5x0+2+0 | Leah Bombardier | 11 | McCann Technical High School |
| 5-2-0!+0 | Amanda Boyer | 7 | Mount Olive Middle School |
| 5*0*0+2 | Jordan Boston | 6 | Floyd Middle Magnet School |
| 50x0+2 | Esther Braun | 5 | John Stanford International School; Seattle WA |
| 5-2-0^0 | Cody Brown | 8 | Johnson Middle School |
| 5*0+0+2 | Kate B | 6 | Parker Middle School |
| (5*0)+0+2 | Laura B. | 6 | Johnson Middle School |
| 5-2-0!+0 | Seth Cable | 11 | McCann Technical High School |
| 5^0+2^0 | Scottie Carlson | 8 | Mount Olive Middle School |
| 5*0+2+0 | Samantha Carty | 6 | Jhonson MIddle School |
| 5*0+0+(2) | Michael Cho | 7 | Wilson Middle School |
| 5^0+2^0
2+(5x0)+0 |
Casey Ciechanowski | 6 | Johnson Middle School |
| 5 x 0 + 2 +0 | Bryan Clark | 11 | McCann Technical High School |
| 5*0+2+0 | Kelly Collar | 7 | Mount Olive Middle School |
| 5x0x0+2 | Julia Connell | 6 | Johnson Middle School |
| 5(0)+2+0 | Charlie Costanzo | 7 | Broadview Middle School |
| 5-(0^0+2) | John Coville | 6 | johnson middle school |
| (50*0)+2 | Khu Boon Tat Daren | 7 | Hwa Chong Institution |
| 5-2+0-0! | Noah de Leeuw | 5 | John Stanford International School; Seattle WA |
| 50*0+2 | Richard Deblock | 8 | Mount Olive Middle School |
| 2+0 (0 x5) | Ryan Denault | 11 | McCann Technical High School |
| 2^0 + 5^0 | Nick Deshpande | 12 | John F. Ross CVI |
| (0*5)+0+2 | Jessica Dochney | 7 | Rohrer Middle School |
| (0*5)+2-0 | Shannon Donohue | 7 | Rohrer Middle School |
| 2+(0x50) | Andrew Dupras | 8 | Dartmouth Middle School |
| 50x0+2 | Courtney Durden | 6 | Floyd Middle Magnet |
| 5x0x0+2 | Alex D. | 6 | Johnson Middle School |
| 5x0x0+2 | Andy Ellis | 6 | Johnson Middle School |
| 5*0+0+2 | Kristin Euchler | 7 | Clarksburg Elementary School |
| 5-2-(0^0) | Lim Yu Sheng Fabian | 7 | Hwa Chong Institution |
| 0x5+2+0
0x5x0+2 |
Ryan Ford | 6 | Johnson Middle |
| (50x0)+2 | Aubry Frost | 11 | Charles H. McCann Technical High School |
| 0x5x0+2 | Michaela F. | 6 | Johnson Middle School |
| 2+0+0*5 | Lisa Gardner | 9 | Buchholz High School |
| 5-2-0!-0 | Nikai Gibson | 7 | Mount Olive Middle School |
| 5*0*0+2 | Taylor Gilmore | 6 | JMS |
| 5-2-0!+0 | Trevor Girard | 11 | McCann Technical High School |
| 5x0x0+2 | Mike G. | 6 | Johnson |
| 5*0+0+2 | Willem Hardeski | 7 | Roher Middle School |
| 5x0+0+2 | Savannah Harik | 6 | Johnson Middle School |
| (0x5)+0+2 | Autumn Harnish | 8 | Mount Olive Middle School |
| 5*0*0+2 | Hannah Harry | 7 | The Gordon School |
| 5^0+2^0 | Victoria Hebner | 6 | Johnson Middle School |
| (5+0) x 0+2 | David Heming | 11 | McCann Technical High School |
| 2+5*0+0 | Lim Kah Hong | 8 | Hwachong Institution |
| 5-2-(0+0!) | Lau Wei Jie Jonathan | 7 | Hwa Chong Institution |
| .5*2+0^0 | Joshua Jordan | 6 | Floyd Middle Magnet School |
| 5-2-0^0 | Amy J. | 6 | Parker Middle School |
| .5x2+0!+0 | K Kornet | 8 | St. Anne Sarnia, Canada |
| 5x0x0+2 | Julia K. | 6 | Johnson Middle School |
| 0x5+2-0 | Sarah Lange | 8 | St. Anne Sarnia, Canada |
| 5-2-0!-0 | Adam Lemaire | 11 | McCann Technical High School |
| 0*5+0+2 | Andrea Lomeli | 9 | Coachella Valley High School |
| 5x0x0+2 | Jocelyn Lydon | 6 | Johnson Middle School |
| (5 x 0) +2-0 | Kaitlin Lyerly | 6 | Floyd Middle Magnet |
| 2^0+5^0 | Chris Mahar | 11 | McCann Technical High School |
| 0+(0*5)+2! | Tim Markatos | 6 | Johnson Middle School |
| 2+0+(5*0) | Eric Marko | 11 | McCann Technical High School |
| 5^0+2^0 | Joey Marz | 7 | Rohrer Middle School |
| .5x2+0^0 | Devin McKenney | 6 | Floyd Middle Magnet |
| 5-(2+0^0) | Sarah Miller | 8 | Mount Olive Middle School |
| 2+0+(5*0) | Margaret Mohrenweiser | 9 | West Milford High School |
| 5^0 + 2^0 | Nicole Monahan | 6 | Johnson Middle School |
| 0x5x0+2 | John Montagno | 6 | Johnson Middle School |
| 5x0-0+2 | Kyle Musco | 6 | Johnson Middle School |
| 0+2+(0*5) | Mark M. | 6 | Parker Middle School |
| (50*0)+2 | Colby Nadeau | 6 | Johnson Middle School |
| (0x5)+2+0 | Kanako Nakagawa | 5 | Canadian Academy Japan, Kobe |
| 5*0+2+0 | Nick Naraghi | 7 | Mount Olive Middle School |
| 50x0+2 | Kayla Nedza | 8 | Mount Olive Middle School |
| 2^0+5^0 | Coley Nee | 6 | Johnson Middle School |
| 2(5^0) + 0
2^0 + 5^0 |
Co Nguyen | 10 | Lindbergh High School |
| (2x0!)+0x5 | Daniel Nussbaum | 8 | Mount Olive Middle School |
| 5*0*0+2 | Erin N. | 6 | Johnson Middle School |
| 0x5x0+2 | Sam O'Brien | 6 | Johnson Middle School |
| 2+50x0 | Sara Ouimet | 8 | Mount Olive Middle School |
| (0*0)*5+2 | Kaiwal Patel | 6 | Mount Olive Middle School |
| 5*0+2+0 | Manan Patel | 7 | Mount Olive Middle School |
| 5*0+0+2 | Josefina Peralta | 9 | Upper Darby High School |
| (2+0)+(5*0) | Carla Poles | 8 | Mount Olive Middle School |
| 0.5*0+2 | Calvin Pratt | 6 | Johnson Middle School |
| (50*0)+2 | Shannon Prendergast | 6 | Johnson Middle School |
| 5^0*0+2 | Rob Prindall | 6 | Johnson Middle School |
| 5x0+0+2 | Zack P | 11 | McCann Technical High School |
| 5-0!+0-2 | Abhimanyu Ramachandran | 7 | Mount Olive Middle School |
| 5x0x0+2 | Amanda Reilly | 6 | Johnson Middle School |
| (0+0)*5+2 | Ben Ringwood | 7 | Rohrer Middle School |
| 2+50*0 | Jeff Riveron | 8 | Mount Olive Middle School |
| 5*0+2+0 | Emily Rochotte | 7 | Mount Olive Middle School |
| 5^0+2^0 | Tom Ryan | 6 | Johnson Middle School |
| 5*0+0+2 | Brendan R | 6 | Johnson Middle School |
| (50*0)+2 | Koki Sakurai | 5 | Canadian Academy Japan |
| 2+0*5+0 | Chris Salls | 8 | Mendive |
| 2^0+5^0 | Troy Salvatore | 6 | Johnson Middle School |
| 2+0 * 50 | Michela Salvucci | 5 | Underwood School, Newton, MA |
| 2+0+5x0 | Cameron Saunders | 9 | Brookstone |
| 5*0+2+0 | Chris Schackerman | 7 | Rohrer Middle School |
| 5x0-0+2 | Dave Senecal | 11 | McCann Technical High School |
| 2^0+5^0 | Sean Shakespeare | 6 | Johnson Middle School |
| 2+0+(0)(5) | Aman Sharma | 7 | T.H. Rogers |
| (50*0)+2 | Dylan Shaw | 6 | Johnson Middle School |
| 0(5*0)+2 | Kyle Snell | 8 | Mount Olive Middle School |
| 5x0x0+2 | Shannon Songin | 6 | Jhonson Middle School |
| 2+50*0 | Jodi Stalter | 8 | Mount Olive Middle School |
| 0x50+2 | Jacquelyn Stoutermire | 6 | Floyd Middle Magnet School |
| (50*0)+2 | Vishal Subbiah | 5 | Canadian Academy Japan |
| 5-2-0!+0 | Courtney S. | 6 | Johnson Middle School |
| 5-2-0!+0 | Arel Torres | 8 | Mount Olive Middle School |
| 0x5x0+2 | Carolyn Tracey | 6 | Johnson Middle School |
| 50x0+2 | Samantha Vidal | 8 | Mount Olive Middle School |
| (0*50)+2 | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 0x5x0+2 | Vanessa Walsh | 6 | Johnson Middle School |
| 5^0+2^0
5-0!-2-0 |
David Wians | 6 | Jonshon Middle School |
| 5x0+2-0 | Sean Wilson | 6 | Johnson Middle School |
| 2^0+5^0 | CJ Wood | 6 | Johnson Middle School |
| 5-2-0-0! | Justin Wu | 5 | Underwood School, Newton, MA |
| 5x0+0+2 | Jin X. | 5 | Germantown Academy |
| 2+5x0x0 | Lewis Won Cheng Yi | 7 | Hwa Chong Institution |
| (5x0)+(2+0) | Allie Z. | 5 | Germantown Academy |
| 50*0+2 | Ashley | 8 | Ahern Middle School |
| 2+5*0*0 | Bella | 8 | Mount Olive Middle School |
| (5x0)+0+2 | Carissa | 11 | McCann Technical High School |
| 5x0+2+0 | Caroline | 6 | Johnson Middle School |
| 5-2-0^0 | Christina | 6 | Johnson Middle School |
| 5*0+2+0 | Darlene | 11 | McCann Technical High School |
| 0*5+0+2 | Dylan | 6 | Johnson Middle School |
| 5-2-0!+0 | Joe | 11 | McCann Technical High School |
| 5x0x0+2 | Julia | 6 | Johnson Middle School |
| 5^0+2^0 | JR | 7 | St. Bernadette School, Brooklyn, New York |
| 2+0+5x0 | Kaitlin | 8 | Mount Olive Middle School |
| 5*0+0+2 | Kara | 11 | McCann Technical High School |
| (5x0)+2+0 | Kelsey | 11 | McCann Technical High School |
| 5x0+2+0 | Kevin | 11 | McCann Technical High School |
| 0x5x0+2 | Liz | 6 | Johnson Middle School |
| 5*0+2+0 | Lo | 9 | Oxnard High School |
| 5*0+0+2 | Mollie | 6 | Johnson Middle School |
| 50*0+2 | Stephanie | 8 | Ahern Middle School |
| (0x0x5)+2 | Dan Alexander, Mike Kelly, Zoby Boghani, James Richard | 8 | Mount Olive Middle School |
| 2^0+5^0 | Charnara Boughton and Crystle-Rose Lambert | 8 | Murdock Middle High School |
| 50^0x2 | Krista D'Onofrio, Matthew Mari, Jagjot Pataria | 7 | St. Bernadette |
| 5x0x0+2 | Jenna MacLellan and Emily Falvey | 6 | Johnson Middle School |
| (2-0)+(5x0)
(2!)x(5^0+0) 5^0+2^0 5-2-0-0! |
Katie Weber and Kristen Leccacorvi | 10 | Arlington High School |
| 5^0+2^0 | Kelly, Christine, Olivia, Sara | 8 | Mount Olive Middle School |
| 5*0+2-0 | Jeanne and Ashley | 8 | St.Bernadette |
Please notify Judy Ann Brown of any errors.
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