A Math Forum Project

1999 Mathematics Game

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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.

STUDENT SOLUTIONS 11 to 20

  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