This Web page is intended to record solutions submitted by students in grades three through twelve. Submissions will be posted starting February 1, 2001.Rules: use the digits in the year 2001 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.
| Solution | Name | Grade | School | |
| 21 | 20+1+0 | Ashley Abrahamson | 7 | Park View Middle School |
| 20+01 | Dudás Ákos | 9 | SZTE Ságvári Endere Gyakorló Gimnázium |
|
| 20-0+1 | Meghan Alexander | 6 | Ballston Spa Middle School | |
| 20+1+0 | Lindsey Arthur | 6 | Ballston Spa Middle School | |
| 20+1+0 | Nick Banks | 6 | Ballston Spa Middle School | |
| 21+(0+0) | Ashley Beauchemin | 6 | Roland Rogers Elementry School | |
| 20+1+0 | Ashley Berube | 6 | Ballston Spa Middle School | |
| 21 + 0 + 0 | Melanie Bomke | 8 | Iolani School | |
| 20 + 1^0 | Mark Brubaker | 7 | Bridgewater-Raritan Middle School | |
| 20+1-0 | Nicholas Burbaum | 5 | Cranbury School | |
| 20+1+0 | Conor Caldwell | 7 | Park View Middle School | |
| 21 + 0 * 0 | Ritwik Chaudhuri | 9 | Patha Bhavana | |
| 20+1.0 | Nihar Desai | 8 | Mount Olive Middle School | |
| (20+1)+0 | Sean Donahue | 6 | Horace Mann Middle School | |
| 20+0+1 | Michele DuBois | 6 | Springton Lake Middle School | |
| 20x1+0! | Heather Evans | 8 | Mt. Olive Middle School | |
| 20+1+0 | Mary Fare | 6 | Ballston Spa Middle School | |
| 20+0+1 | Josh Flynt | 6 | Ballston Spa Middle School | |
| 20-0+1 | Christie Fodera | 6 | Ballston Spa Middle School | |
| 10x2+0! | Megha Holani | 7 | Woodrow Wilson Middle School | |
| 20+1-0 | Christina Johnson | 7 | Southwestern Randolph Middle School | |
| 21+0+0 | Akil Kumarasamy | 7 | Woodrow Wilson Middle School | |
| 20+0+1 | Nikki Laiacona | 6 | Ballston Spa Middle School | |
| 20+1+0 | Christine Liang | 7 | Woodrow Wilson Middle School | |
| 1^0+20 | Ke Lu | 7 | Deer Park P.S. | |
| (20 + 1) + 0 | Joey Manno | 4 | C. P. Smith | |
| 21 + 0 + 0 | Jonathan Marcus | 11 | Charles E. Smith Jewish Day School | |
| 20+1-0 | Robert Matteson | 7 | Park View Middle School | |
| 20+1-0 | John Mazza | 7 | Park View Middle School | |
| 20+(0+1) | Stefani Milstrey | 6 | Ballston Spa Middle School | |
| 20-0+1 | Kaitlin Morano | 6 | Ballston Spa Middle School | |
| 21+0+0 | Linda Mummy | 8 | Issaquah Middle School | |
| 20+1-0 | Casey Munoz | 7 | Park View Middle School | |
| 10*2+0! | Ike Newman | 4 | Joseph Kushner Hebrew Academy | |
| 21-0-0 | Amanda Oakman | 6 | Ballston Spa Middle School | |
| 20+1+0 | Dinu Razvan | 9 | National College Mihai Viteazul Ploiesti , Romania |
|
| 20+1+0 | David Rockwell | 7 | Wilson Central Junior High | |
| 21+0+0 | Jennifer Rowe | 8 | Mount Olive Middle School | |
| 20+(1^0) | Michelle Schmidt | 7 | Wilson Central Junior High | |
| 21+0+0 | Neha Shende | 7 | Woodrow Wilson Middle School | |
| 20+1-0 | Tiffany Symonds | 6 | Ballston Spa Middle School | |
| 20+1+0 | Peter Szajna | 7 | Wilson Central Junior High | |
| (21/0!) + 0 | Bob Tang | 11 | James Ruse Agricultural High School | |
| (20 x 0!)+1 | Bob Tang | 11 | James Ruse Agricultural High School | |
| 20+0+1 | Sean Thompson | 12 | Lakewood Ranch High | |
| 20+1+0 | Peter Tonzi | 6 | Horace Mann Middle School | |
| 20+0+1 | Szerencsi Uldikó | 10 | Ságvári Endere Gyakorló Gimnázium |
|
| 20+01 | Anna Vágvölgyi | 10 | SZTE Ságvári Endere Gyakorló Gimnázium |
|
| (20+1)-0 | Katrina Williams | 6 | Roland Rogers Elementry School | |
| 1.0+20 | Dalya Zucker | 4 | Joseph Kushner Hebrew Academy | |
| 20-(-1)+0 | SPJHS Math Club | 8 | Solomon Plains Junior High School | |
| 20+1+0 | Serena Covkin, David Rosenwein, Noah Mink, Jessica Levenson, Dalya Arussy | 4 | Joseph Kushner Hebrew Academy | |
| 20+1+0 | Chelsey | 7 | Park View Middle School | |
| 20+1+0 | Julia | 7 | Park View Middle School | |
| 21+0+0 | Vishnu | 9 | Roland Rogers Elementry School | |
| 22 | 20+1+0! | Ashley Abrahamson | 7 | Park View Middle School |
| 20+1+0! | Arda Antikacioglu | 6 | The Koc Elementary School | |
| 20+1+0! | Matthew Boccanfuso | 7 | Park View Middle School | |
| 21 + 0! + 0 | Melanie Bomke | 8 | Iolani School | |
| 20+1+0! | Nicholas Burbaum | 5 | Cranbury School | |
| 20+1+0! | Conor Caldwell | 7 | Park View Middle School | |
| 21 + 0! + 0 | Ritwik Chaudhuri | 9 | Patha Bhavana | |
| 21+0!+0 | Dante Digiamberardino | 7 | Wilson Central Junior High | |
| 20+0!+1 | Michele DuBois | 6 | Springton Lake Middle School | |
| 20+1+0! | Heather Evans | 8 | Mt. Olive Middle School | |
| 21+0!+0 | Debbie Faynshteyn | 4 | Joseph Kushner Hebrew Academy | |
| 2(10+0!) | Megha Holani | 7 | Woodrow Wilson Middle School | |
| 20+1+0! | Mathew Jolivet | 7 | Park View Middle School | |
| 21 + 0! + 0 | Jonathan Marcus | 11 | Charles E. Smith Jewish Day School | |
| 20+1+0! | Robert Matteson | 7 | Park View Middle School | |
| 21+0!+0 | Linda Mummy | 8 | Issaquah Middle School | |
| 20+1+0! | Casey Munoz | 7 | Park View Middle School | |
| 21+0^0 | Dinu Razvan | 9 | National College Mihai Viteazul Ploiesti , Romania |
|
| 20+1+0! | David Rockwell | 7 | Wilson Central Junior High | |
| 21+0!+0 | Neha Shende | 7 | Woodrow Wilson Middle School | |
| 20 + 0! + 1 | Bob Tang | 11 | James Ruse Agricultural High School | |
| 20+0!+1! | Sean Thompson | 12 | Lakewood Ranch High | |
| 20+1+0! | Serena Covkin, David Rosenwein, Noah Mink, Jessica Levenson, Dalya Arussy | 4 | Joseph Kushner Hebrew Academy | |
| (0!+0!)/.1+2 | Emily Hirsch, Dalya Zucker | 4 | Joseph Kushner Hebrew Academy | |
| 20+1+0! | Chelsey | 7 | Park View Middle School | |
| 20+0!+1 | Julia | 7 | Park View Middle School | |
| 21+(0^0) | Vishnu | 9 | Roland Rogers Elementry School | |
| 23 | 21+0!+0! | Ashley Abrahamson | 7 | Park View Middle School |
| (2+0!+0!)!-1 | Arda Antikacioglu | 6 | The Koc Elementary School | |
| 21 + 0! + 0! | Melanie Bomke | 8 | Iolani School | |
| (2+1+0!)!-0! | Nicholas Burbaum | 5 | Cranbury School | |
| 21+0!+0! | Conor Caldwell | 7 | Park View Middle School | |
| (1+0!+2)!-0! | Thomas Carlile | 8 | International School of Toulouse | |
| (2 + 0! + 0!)! - 1 | Ritwik Chaudhuri | 9 | Patha Bhavana | |
| 21+0!+0! | Michele DuBois | 6 | Springton Lake Middle School | |
| 21+0!+0! | Heather Evans | 8 | Mt. Olive Middle School | |
| 21+0!+0! | Avi Feygin | 4 | Joseph Kushner Hebrew Academy | |
| (2+0!+0!)!-1 | Soti Gergely | 11 | Gymansium Svetozar Markovic | |
| 0!+0!+21 | Josh Gonzalez | 7 | Bridgewater-Raritan Middle School | |
| 21+0!+0! | Megha Holani | 7 | Woodrow Wilson Middle School | |
| (2+(0!+0!))!-1 | Akil Kumarasamy | 7 | Woodrow Wilson Middle School | |
| 21 + 0! + 0! | Jonathan Marcus | 11 | Charles E. Smith Jewish Day School | |
| 21+0!+0! | Robert Matteson | 7 | Park View Middle School | |
| 21+(0!+0!) | John Mazza | 7 | Park View Middle School | |
| 21+0!+0! | Linda Mummy | 8 | Issaquah Middle School | |
| 21+(0!+0!) | Casey Munoz | 7 | Park View Middle School | |
| 21+0!+0! | Michelle Schmidt | 7 | Wilson Central Junior High | |
| 21+0!+0! | Neha Shende | 7 | Woodrow Wilson Middle School | |
| (2+0!+0!)! - 1 | Bob Tang | 11 | James Ruse Agricultural High School | |
| (1+0!+2)!-0! | Serena Covkin, David Rosenwein, Noah Mink, Jessica Levenson, Dalya Arussy | 4 | Joseph Kushner Hebrew Academy | |
| 21+0!+0! | Chelsey | 7 | Park View Middle School | |
| 21+0!+0! | Julia | 7 | Park View Middle School | |
| 24 | 12*(0!+0!) | Ashley Abrahamson | 7 | Park View Middle School |
| (2+0!+0!)!/1 | Arda Antikacioglu | 6 | The Koc Elementary School | |
| ((1+0^0)^2)! | Arda Antikacioglu | 6 | The Koc Elementary School | |
| 12x(0!+0!) | Dalya Arussy | 4 | Joseph Kushner Hebrew Academy | |
| 12*(0!+0!) | Matthew Boccanfuso | 7 | Park View Middle School | |
| 12 * (0! + 0!) | Melanie Bomke | 8 | Iolani School | |
| (2+1+0^0)! | Nicholas Burbaum | 5 | Cranbury School | |
| 12*(0!+0!) | Conor Caldwell | 7 | Park View Middle School | |
| (1+0!+0+2)! | Thomas Carlile | 8 | International School of Toulouse | |
| (2 + 1 + 0!)! + 0 | Ritwik Chaudhuri | 9 | Patha Bhavana | |
| [(2+1)+0!]!+0 | Dante Digiamberardino | 7 | Wilson Central Junior High | |
| (2+0!+0+1)! | Michele DuBois | 6 | Springton Lake Middle School | |
| (2+1+0!-0)! | Heather Evans | 8 | Mt. Olive Middle School | |
| (0!+1+2)!+0 | Avi Feygin | 4 | Joseph Kushner Hebrew Academy | |
| 12*(0!+ 0!) | Amy Guerin | 7 | Mount Olive Midddle School | |
| 12(0!+0!) | Megha Holani | 7 | Woodrow Wilson Middle School | |
| (12)(0!+0!) | Akil Kumarasamy | 7 | Woodrow Wilson Middle School | |
| 12*(0!+0!) | Ke Lu | 7 | Deer Park P.S. | |
| 12*(0!+0!) | Robert Matteson | 7 | Park View Middle School | |
| (2+0!+1)!+0 | Linda Mummy | 8 | Issaquah Middle School | |
| 12x(0!+0!) | Casey Munoz | 7 | Park View Middle School | |
| 12x(0!+0!) | Claire O'Loughlin | 7 | The International School of Toulouse | |
| (2+0^0+1)! | Dinu Razvan | 9 | National College Mihai Viteazul Ploiesti , Romania |
|
| (2+1+0!+0)! | Samer Sayegh | 9 | Queensway Christian College | |
| (0!+0!)*12 | Neha Shende | 7 | Woodrow Wilson Middle School | |
| (2+1+0!)! - 0 | Bob Tang | 11 | James Ruse Agricultural High School | |
| (0!+1+2)!+0 | Serena Covkin, David Rosenwein, Noah Mink, Jessica Levenson, Dalya Arussy | 4 | Joseph Kushner Hebrew Academy | |
| 12x(0!+0!) | Chelsey | 7 | Park View Middle School | |
| 12 x ( 0! + 0! ) | Hannaway | 7 | Park View Middle School | |
| 12*(0!+0!) | Julia | 7 | Park View Middle School | |
| 25 | (2+0!+0!)!+1 | Arda Antikacioglu | 6 | The Koc Elementary School |
| (2+1+0!)!+0! | Nicholas Burbaum | 5 | Cranbury School | |
| (1+0!+2)!+0! | Thomas Carlile | 8 | International School of Toulouse | |
| (2 + 0! + 0!)! + 1 | Ritwik Chaudhuri | 9 | Patha Bhavana | |
| (1/.2)^(0!+0!) | Michele DuBois | 6 | Springton Lake Middle School | |
| (2+1+0!)!+0! | Ashley Franks | 7 | South Middle School | |
| (2+0!+0!)!+1 | Soti Gergely | 11 | Gymansium Svetozar Markovic | |
| (2+1+0!)!+0! | Megha Holani | 7 | Woodrow Wilson Middle School | |
| (2+(0!+0!))!+1 | Akil Kumarasamy | 7 | Woodrow Wilson Middle School | |
| (2+0!+0!)!+1 | Linda Mummy | 8 | Issaquah Middle School | |
| (2+0!+0!)!+1 | Matthew Sherman | 4 | Joseph Kushner Hebrew Academy | |
| (2+0!+0!)! + 1 | Bob Tang | 11 | James Ruse Agricultural High School | |
| 26 | .2^(-(0!+0!))+1 | Linda Mummy | 8 | Issaquah Middle School |
| [.2^-(0!+0!)] + 1 | Bob Tang | 11 | James Ruse Agricultural High School | |
| 27 | ||||
| 28 | ||||
| 29 | [(2+0!)/.1]-0! | Arda Antikacioglu | 6 | The Koc Elementary School |
| ((2 + 0!)/ .1) - 0! | Ritwik Chaudhuri | 9 | Patha Bhavana | |
| (2+0!)/.1-0! | Soti Gergely | 11 | Gymansium Svetozar Markovic | |
| 30 | 20+10 | Jacob Ackerman | 6 | Ballston Spa Middle School |
| 20+10 | Meghan Alexander | 6 | Ballston Spa Middle School | |
| 20+10 | Michael Anselmi | 6 | Horace Mann Middle School | |
| (2+0!)/.1)+0 | Arda Antikacioglu | 6 | The Koc Elementary School | |
| 10+20 | Lindsey Arthur | 6 | Ballston Spa Middle School | |
| 20+10 | Ashley Beauchemin | 6 | Roland Rogers Elementry School | |
| 20+10 | Nick Banks | 6 | Ballston Spa Middle School | |
| 20+10 | Adriana Bateh | 7 | Wilson Central Junior High | |
| 20+10 | Ashley Berube | 6 | Ballston Spa Middle School | |
| 20+10 | Matthew Boccanfuso | 7 | Park View Middle School | |
| 20+10 | Melanie Bomke | 8 | Iolani School | |
| 20+10 | Nicholas Burbaum | 5 | Cranbury School | |
| 20+10 | Conor Caldwell | 7 | Park View Middle School | |
| ((2 + 0!)/ .1) + 0 | Ritwik Chaudhuri | 9 | Patha Bhavana | |
| 20+10 | Brittany Clark | 6 | Ballston Spa Middle School | |
| 20+10 | Maegan Conley | 6 | Ballston Spa Middle School | |
| 20+10 | Ashleyanne Dennis | 6 | Ballston Spa Middle School | |
| 20+10 | Nihar Desai | 8 | Mount Olive Middle School | |
| 20+10 | Sean Donahue | 6 | Horace Mann Middle School | |
| 20+10 | Michele DuBois | 6 | Springton Lake Middle School | |
| 20+10 | Heather Evans | 8 | Mt. Olive Middle School | |
| 20+10 | Mary Fare | 6 | Ballston Spa Middle School | |
| 20+10 | Josh Flynt | 6 | Ballston Spa Middle School | |
| 20+10 | Christie Fodera | 6 | Ballston Spa Middle School | |
| 20+10 | Randy Gong | 6 | Roland Rogers Elementry School | |
| 20+10 | Megha Holani | 7 | Woodrow Wilson Middle School | |
| 10+20 | Gerard Hume | 9 | International School of Toulouse | |
| 20+10 | Mathew Jolivet | 7 | Park View Middle School | |
| 20+10 | Akil Kumarasamy | 7 | Woodrow Wilson Middle School | |
| 20+10 | Nikki Laiacona | 6 | Ballston Spa Middle School | |
| 20+10 | Christine Liang | 7 | Woodrow Wilson Middle School | |
| 10+20 | Ke Lu | 7 | Deer Park P.S. | |
| 20 + 10 | Shanda Mahoney | 4 | C. P. Smith | |
| 20+10 | Kaitlin Morano | 6 | Ballston Spa Middle School | |
| 10*(2+0!) | Linda Mummy | 8 | Issaquah Middle School | |
| 20+10 | Casey Munoz | 7 | Park View Middle School | |
| 20+10 | Ike Newman | 4 | Joseph Kushner Hebrew Academy | |
| 20+10 | Amanda Oakman | 6 | Ballston Spa Middle School | |
| 20+10 | Dinu Razvan | 9 | National College Mihai Viteazul Ploiesti , Romania |
|
| 10+20 | David Rosenwein | 4 | Joseph Kushner Hebrew Academy | |
| 10+20 | Neha Shende | 7 | Woodrow Wilson Middle School | |
| 20+10 | Tiffany Symonds | 6 | Ballston Spa Middle School | |
| 10*(2+0!) | Sean Thompson | 12 | Lakewood Ranch High | |
| 20+10 | Peter Tonzi | 6 | Horace Mann Middle School | |
| 10+20 | Szerencsi Uldikó | 10 | Ságvári Endere Gyakorló Gimnázium |
|
| 10+20 | Matt Wakefield | 9 | International School of Toulouse | |
| 20+10 | Anna Vágvölgyi | 10 | SZTE Ságvári Endere Gyakorló Gimnázium |
|
| 20+10 | Katrina Williams | 6 | Roland Rogers Elementry School | |
| 20+10 | Bicky | 7 | Sabrina High School | |
| 20+10 | Chelsey | 7 | Park View Middle School | |
| 20+10 | Dana | 6 | Roland Rogers Elementry School | |
| 20+10 | Jill | 7 | Park View Middle School | |
| 20 + 10 | Jon | 6 | Lisbon | |
| 20+10 | Julia | 7 | Park View Middle School | |
| 20+10 | Vishnu | 9 | Roland Rogers Elementry School |
| Solutions 1 to 10 | Solutions 11 to 20 | Solutions 31 to 40 |
| Solutions 41 to 50 | Solutions 51 to 60 | Solutions 61 to 70 |
| Solutions 71 to 80 | Solutions 81 to 90 | Solutions 91 to 100 |
Please notify Judy Ann Brown of any errors.
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