This Web page is intended to record solutions submitted by students in grades three through twelve. Student solutions were submitted January 1, 1999 through February 1,1999. Submissions for missing numbers can still be submitted using the Web form.Rules: use the digits in the year 1999 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 | |
| 11 | 1+9/9+9 | Jared Baker | 8 | Reading-Fleming middle school |
| 11 | 1+(9/9)+9 | Tony Drake | 6 | Raymond Park Middle School |
| 11 | (9/9)+(9+1) | Michael Falls | 6 | Raymond Park Middle School |
| 11 | 1 + 9 + 9/9 | Lisa Gardner | 3 | Boyette Springs ES |
| 11 | (9/9)+9+1 | Trent Hagerty | 6 | Raymond Park Middle School |
| 11 | (9/9) + 1 + 9 | Dana Hoggatt | 6 | Raymond Park Middle School |
| 11 | sqrt9 x sqrt9 + sqrt9 - 1 | David Lambert | 8 | St.Jude School, Brooklyn, NY |
| 11 | 9/9+1+9 | Erica M. | 7 | Stillwater Middle School |
| 11 | 9/9+1+9 | Anne McKinley | 6 | Raymond Park Middle School |
| 11 | (9 / 9 ) + 9 + 1 | Will Morrison | 4 | Cheat Lake Elementary |
| 11 | (9/9)+(1+9) | Sarah Power | 6 | Ramnond Park Middle School |
| 11 | (9/9+1)+9 | Michael Thompson | 6 | Raymond Park Middle School |
| 11 | (9 / 9) + 9 + 1 | Andrew Wiesenmayer | 4 | Cheat Lake Elementary |
| 11 | 9/sqrt9+9-1 | Abigail Wright | 6 | Raymond Park Middle School |
| 11 | 9/9+9+1 | MATH GROUP #13 | 8 | ASHFORD SCHOOL |
| 12 | sqrt9(sqrt9!+1)-9 | David Auble | 6 | Raymond Park M.S. |
| 12 | (9-sqrt9!)+(9*1) | Michael Falls | 6 | Raymond Park Middle School |
| 12 | 1^9(9) +sqrt9 | Lisa Gardner | 3 | Boyette Springs ES |
| 12 | (9-sqrt9!)+(9x1) | Trent Hagerty | 6 | Raymond Park Middle School |
| 12 | sqrt9 x sqrt9 +sqrt9 x1 | David Lambert | 8 | St.JudeSchool, Brooklyn, NY |
| 12 | ( (sqrt 9) - 1 ) x (sqrt 9 + sqrt 9 ) | Will Morrison | 4 | Cheat Lake Elementary |
| 12 | (sqrt9*sqrt9)+sqrt9*1 | David Moudy | 7 | Raymond Park Middle School |
| 13 | (9-sqrt9!)+(9+1) | Michael Falls | 6 | Raymond Park Middle School |
| 13 | sqrt9*sqrt9+sqrt9+1 | Jeramey Franklin | 6 | Raymond Park Middle School |
| 13 | 1^9 + (sqrt9)!+(sqrt9)! | Lisa Gardner | 3 | Boyette Springs ES |
| 13 | 9/sqrt9+9+1 | Sara Gobble | 6 | Raymond Park Middle School |
| 13 | (9-sqrt9!)+(9+1) | Trent Hagerty | 6 | Raymond Park Middle School |
| 13 | (sqrt 9 x sqrt 9) + sqrt 9 + 1 | Dana Hoggatt | 6 | Raymond Park Middle School |
| 13 | 9/sqrt9 + 1 + 9 | David Lambert | 8 | St.Jude School, Brooklyn, NY |
| 13 | 1^9 + sqrt9! + sqrt9! | Keri Lewis | 8 | Kickemuit Middle School-Warren,RI |
| 13 | 1^9+(sqrt9+9) | Chris Waid | 8 | RFMS |
| 14 | 9 - sqrt9 + 9-1 | Billy Archiello | 7 | St. Jude School,Brooklyn, NY |
| 14 | sqrt9+sqrt9+9-1 | David Auble | 6 | Raymond Park M.S. |
| 14 | 9+9-1-sqrt9 | Ashley Carter | 6 | Raymond Park Middle School |
| 14 | (9-sqrt9)-1+9 | Tony Drake | 6 | Raymond Park Middle School |
| 14 | (sqrt9+sqrt9)+(9-1) | Michael Falls | 6 | Raymond Park Middle School |
| 14 | (-1) + sqrt9 + sqrt9 +9 | Lisa Gardner | 3 | Boyette Springs ES |
| 14 | sqrt9+9+sqrt9-1 | Michael George | 6 | Raymond Park Middle School |
| 14 | (sqrt9+sqrt9)+(9-1) | Trent Hagerty | 6 | Raymond Park Middle School |
| 14 | sqrt 9 + sqrt 9 +9 -1 | Dana Hoggatt | 6 | Raymond Park Middle School |
| 14 | (9-1) + sqrt 9 + sqrt 9 | Anmol Kohal | 4 | Cheat Lake Elementary |
| 14 | 9+9-sqrt9-1 | David Moudy | 7 | Raymond Park Middle School |
| 14 | [(9-1)-sqrt9]+9 | Chris Waid | 8 | RFMS |
| 14 | sqrt9+sqrt9+9-1 | Abigail Wright | 6 | Raymond Park Middle School |
| 15 | 9+9/1-sqrt9 | David Auble | 6 | Raymond Park M.S. |
| 15 | (9-sqrt9)x1+9 | Tony Drake | 6 | Raymond Park Middle School |
| 15 | (sqrt9+sqrt9)+(9*1) | Michael Falls | 6 | Raymond Park Middle School |
| 15 | 1xsqrt9+sqrt9+9 | Chelsea Flaum | 10 | Gulf Coast High School |
| 15 | 1*9 +sqrt9 +sqrt9 | Lisa Gardner | 3 | Boyette Springs ES |
| 15 | ( ( 9 - sqrt 9 ) / 1 ) + 9 | Anmol Kohal | 4 | Cheat Lake Elementary |
| 15 | 9+sqrt9+sqrt9x1 | David Lambert | 8 | St.jude School, Brooklyn, NY |
| 15 | (sqrt9x1)+(sqrt9+9) | Sarah Power | 6 | Ramnond Park Middle School |
| 15 | [(9*1)-sqrt9]+9 | Chris Waid | 8 | RFMS |
| 15 | ((9 - sqrt 9) x 1) + 9 | Andrew Wiesenmayer | 4 | Cheat Lake Elementary |
| 15 | (sqrt9-1)xsqrt9+9 | Abigail Wrighgt | 6 | Raymond Park Middle School |
| 16 | sqrt9+sqrt9+9+1 | David Auble | 6 | Raymond Park M.S. |
| 16 | 1+9+sqrt9+sqrt9 | Jordan Braakman | 8 | Reading Fleming Middle School |
| 16 | 9+9+1-sqrt9 | Ashley Carter | 6 | Raymond Park Middle School |
| 16 | (9-sqrt9)+1+9 | Tony Drake | 6 | Raymond Park Middle School |
| 16 | (sqrt9+sqrt9)+(9+1) | Michael Falls | 6 | Raymond Park Middle School |
| 16 | 1 +9 +sqrt9 +sqrt9 | Lisa Gardner | 3 | Boyette Springs ES |
| 16 | sqrt9+sqrt9+9+1 | Sara Gobble | 6 | Raymond Park Middle School |
| 16 | 1-sqrt9+9+9 | Michelle Goldwyn | 8 | Reading-Fleming Middle School |
| 16 | sqrt 9 + sqrt 9 + 9 + 1 | Dana Hoggatt | 6 | Raymond Park Middle School |
| 16 | 9 + sqrt 9 + sqrt 9 + 1 | Anmol Kohal | 4 | Cheat Lake Elementary |
| 16 | 9+sqrt9+sqrt9+1 | David Lambert | 8 | St.Jude School, Brooklyn, NY |
| 16 | (sqrt9)+sqrt9+9+1 | Michael Thompson | 6 | Raymond Park Middle School |
| 16 | (1+sqrt9)+ (sqrt9+9) | Chris Waid | 8 | RFMS |
| 16 | sqrt9+sqrt9+9+1 | Abigail Wrighgt | 6 | Raymond Park Middle School |
| 17 | sqrt9xsqrt9+9-1 | David Auble | 6 | Raymond Park M.S. |
| 17 | (sqrt9)x9-9-1 | Ashley Carter | 6 | Raymond Park Middle School |
| 17 | (9-sqrt9)xsqrt9-1 | Tony Drake | 6 | Raymond Park Middle School |
| 17 | (sqrt9*9)-(9+1) | Michael Falls | 6 | Raymond Park Middle School |
| 17 | (-1)+(9*sqrt9) -9 | Lisa Gardner | 3 | Boyette Springs ES |
| 17 | sqrt9x9-9-1 | Sara Gobble | 6 | Raymond Park Middle School |
| 17 | ( sqrt 9 x 9 ) - 9 - 1 | Anmol Kohal | 4 | Cheat Lake Elementary |
| 17 | 9xsqrt9-(9+1) | David Lambert | 8 | St.Jude School, Brooklyn, NY |
| 17 | (sqrt9)!+sqrt9+9-1 | Michael Thompson | 6 | Raymond Park Middle School |
| 17 | -1-9+(9*sqrt9) | Chris Waid | 8 | RFMS |
| 17 | sqrt9xsqrt9-1+9 | Abigail Wrighgt | 6 | Raymond Park Middle School |
| 18 | (9/9+1)x9 | David Auble | 6 | Raymond Park M.S. |
| 18 | sqrt9xsqrt9+9x1 | Ashley Carter | 6 | Raymond Park Middle School |
| 18 | (sqrt9*9)-(9*1) | Michael Falls | 6 | Raymond Park Middle School |
| 18 | ( 1 + 9/9)(9) | Lisa Gardner | 3 | Boyette Springs ES |
| 18 | ((sqrt 9) x 9) - 9 x 1 | Lisa Johnson | 4 | Cheat Lake Elementary |
| 18 | (9/9 + 1) x 9 | Christopher Luppino | 8 | St.Jude School, Brooklyn, NY |
| 19 | sqrt9x9+1-9 | David Auble | 6 | Raymond Park M.S. |
| 19 | 1+9+sqrt9+9! | Jordan Braakman | 8 | Reading Fleming Middle School |
| 19 | (sqrt9x9)-9+1 | Ashley Carter | 6 | Raymond Park Middle School |
| 19 | sqrt9x9+1-9 | Tony Drake | 6 | Raymond Park Middle School |
| 19 | sqrt9*9+1-9 | Alyssha Duncan | 6 | Raymond Park Middle School |
| 19 | (sqrt9*9)-(9-1) | Michael Falls | 6 | Raymond Park Middle School |
| 19 | 9*sqrt9+1-9 | Jeramey Franklin | 6 | Raymond Park Middle School |
| 19 | 1 - 9 +( 9)sqrt9 | Lisa Gardner | 3 | Boyette Springs ES |
| 19 | sqrt9x9-9+1 | Sara Gobble | 6 | Raymond Park Middle School |
| 19 | sqrt9 x sqrt9 +9+1 | Rudy Migliorisi | 8 | St.Jude School, Brooklyn,NY |
| 19 | 1^9+9+9 | Chris Waid | 8 | RFMS |
| 19 | 9+9+1^9 | Victoria | 5 | James River Elementary |
| 20 | 9+9+sqrt9-1 | David Auble | 6 | Raymond Park M.S. |
| 20 | sqrt9+9+9-1 | Ashley Carter | 6 | Raymond Park Middle School |
| 20 | (sqrt9+9)+9-1 | Tony Drake | 6 | Raymond Park Middle School |
| 20 | sqrt9+9+9-1 | Alyssha Duncan | 6 | Raymond Park Middle School |
| 20 | (sqrt9+9)+(9-1) | Michael Falls | 6 | Raymond Park Middle School |
| 20 | (-1) + 9 +9 +sqrt9 | Lisa Gardner | 3 | Boyette Springs ES |
| 20 | ( sqrt 9 ) + 9 + 9 - 1 | Becky Kotcon | 4 | Cheat Lake Elementary |
| 20 | sqrt9 +9+9-1 | Rudy Migliorisi | 8 | St. Jude School, Brooklyn, NY |
| 20 | [(9-1)+sqrt9]+9 | Chris Waid | 8 | RFMS |
| Solutions 1 to 10 | Solutions 21 to 30 | 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.
The Math Forum ** Judy Ann Brown ** 22 December 1999