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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 |
| 20-0*5 | Simon Alger | 10 | Cannons Creek |
| 5*2(0!+0!) | JP Allport | 7 | RSM Intermediate |
| 5x(0!+0!)x2 | Chris Ashe | 6 | Johnson Middle School |
| 5*0+20 | Jonathan Bailey | 6 | Johnson Middle School |
| 20x5^0 | Andrea Barry | 6 | Johnson Middle School |
| (5x2)(0!+0!) | Leah Bombardier | 11 | McCann Technical High School |
| 20+(5x0) | Esther Braun | 5 | John Stanford International School; Seattle WA |
| 20-(5x0) | Amanda Carney | 6 | Johnson Middle School |
| 20-(5x0) | Casey Ciechanowski | 6 | Johnson Middle School |
| 5x0+20 | Bryan Clark | 11 | McCann Technical High School |
| 20+(5x0) | Julia Connell | 6 | Johnson Middle School |
| (0!+0!+2)*5 | Pauline Dang | 7 | Rohrer Middle School |
| (2+0!+0!)x5 | Noah de Leeuw | 5 | John Stanford International School; Seattle WA |
| 20+5*0 | Maria De Lemos | 8 | Mount Olive Middle School |
| 20x(5^0) | Nick Deshpande | 12 | John F. Ross CVI |
| 0x5+20 | Alex D. | 6 | Johnson Middle School |
| 20x5^0 | Andy Ellis | 6 | Johnson Middle School |
| 5x2x(0!+0!) | Justin Ellis | 6 | Johnson Middle School |
| 20+5*0 | Kristin Euchler | 7 | Clarksburg Elementary School |
| 20+(0*5) | Lim Yu Sheng Fabian | 7 | Hwa Chong Institution |
| 5x(2+0!+0!) | Dave Frizzell | 6 | Johnson Middle School |
| (2+0!+0!)*5 | Lisa Gardner | 9 | Buchholz High School |
| 0x5+20 | Lindsay Griffin | 6 | Johnson Middle School |
| 20+[5*0] | Willem Hardeski | 7 | Roher Middle School |
| 5x0+20 | Savannah Harik | 6 | Johnson Middle School |
| 20+(5x0) | Victoria Hebner | 6 | Johnson Middle School |
| 20+5x0 | Lim Kah Hong | 8 | Hwachong Institution |
| 5*2*(0!+0!) | Lucy Kahn | 7 | Gordon School |
| 5x0+20 | Julia Kelsey | 6 | Johnson Middle School |
| 5(2(0!+0!)) | Adam Lemaire | 11 | McCann Technical High School |
| (0!+0!)2*5 | Andrea Lomeli | 9 | Coachella Valley High School |
| (5*2)*(0!+0!) | Sarah Miller | 8 | Mount Olive Middle School |
| 20+(5*0) | Margaret Mohrenweiser | 9 | West Milford High School |
| (0!+0!+2)*5 | Nicole Monahan | 6 | Johnson Middle School |
| 5*2*(0!+0!) | Nichole Muller | 8 | Mount Olive Middle School |
| 0x5+20 | Kyle Musco | 6 | Johnson Middle School |
| 5x(2+0!+0!) | Dylan M | 6 | Johnson Middle School |
| 20*5^0 | Mark M. | 6 | Parker Middle School |
| 20+(0x5) | Kanako Nakagawa | 5 | Canadian Academy |
| 20+(5*0) | Erin N. | 6 | Johnson Middle School |
| [0!+0!]*[2*5] | Arlete Pichardo | 9 | Coachella Valley High School |
| 20+(5*0) | Calvin Pratt | 6 | Johnson Middle School |
| 20+(0x5) | Amanda Reilly | 6 | Johnson Middle School |
| 5*(2+0!+0!) | Tom Ryan | 6 | Johnson Middle School |
| (5*2)*(0!+0!) | Brendan R | 6 | Johnson Middle School |
| 5*(2+0!+0!) | Chris Salls | 8 | Mendive |
| (5*0)+20 | Dylan Shaw | 6 | Johnson Middle School |
| 20+(5*0) | Courtney S. | 6 | Johnson Middle School |
| 20+(0*5) | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 5x0+20 | Vanessa Walsh | 6 | Johnson Middle School |
| 5x0+20 | Brittney Wheeler | 11 | McCann Technical High School |
| 20+5x0 | Thomas Woodward | 11 | Brookstone School |
| (5x0)+20 | Allie Z. | 5 | Germantown Academy |
| (2*5)*(0!+0!) | Dylan | 6 | Johnson Middle School |
| 20+(5x0) | Kelsey | 6 | Johnson Middle School |
| 20+(5x0) | Kelsey | 11 | McCann Technical High School |
| 5(0!+0!+2) | Lauren | 6 | Elenor N. Johnson Middle School |
| 20+(5*0) | Mollie | 6 | Johnson Middle School |
| (5*0)+20 | Rachel | 7 | Rohrer Middle School |
| 20-(0*5) | Shannon | 8 | Ahern Middle School |
| 20+(5x0) | Emily Falvey and Jenna MacLellan | 6 | Johnson Middle School |
| 20+5*0 | Marco Mongon, Steven Leon | 8 | Mount Olive Middle School |
| 5^0x20 | Courtney, Stefano, and Frank | 7 | St. Bernadette, Brooklyn NY |
Please notify Judy Ann Brown of any errors.
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