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

  Solution Name Grade School
1 (9+9)/9-1 David Auble 6 Raymond Park M.S.
1 sqrt9+9-9+1 David Auble 6 Raymond Park M.S.
1 (9+9)/9-1 Lionel Augustin 8 St.Jude School, Brooklyn,NY
1 (9-9) / 9 + 1 Rachael Barker 4 Cheat Lake Elementary
1 (9-9)x9+1 Sarah Bocik 6 Raymond Park Middle School
1 (9+9)/9-1 Chelsea Butler 6 Raymond Park Middle school
1 1-(sqrt9)x(sqrt9)+9 Wendy Cheung 10 The Bishop Strachan School
1 (9+9)/9-1 Tony Drake 6 Raymond Park Middle School
1 (9+9)/9-1 Alyssha Duncan 1 Raymond Park Middle School
1 1*9^(9-9) Lisa Gardner 3 Boyette Springs ES
1 (9+9)/9-1 Sara Gobble 6 Raymond Park Middle School
1 (9+9)/9-1 Trent Hagerty 6 Raymond Park Middle School
1 9x(9-9)+1 Anne McKinley 6 Raymond Park Middle School
1 (9+9)/9-1 David Moudy 7 Raymond Park Middle School
1 (9+9)/9-1 Orion Strater 6 Raymond Park Middel School
1 (9+9)/9-1 John L. Thomas 6 Ramond Park Midal school
1 (9+9)/9-1 Keenan Thomas 6 Raymond Park Middle School
1 (9+9)/9-1 Michael Thompson 6 Raymond Park Middle School
1 (1^9+9)-9 Chris Waid 8 RFMS
1 (9+9)/9-1 Jennifer, Carlee, Delano, Michael (Table 2) 7 St.Jude School, Brooklyn, NY
1 9+1^9-9 Victoria 5 James River Elementary
1 (1*9/9)^9 math Group #4 8 Ashford School
2 ( 1 x 9 + 9 )/9 Lionel Augustin 8 St.Jude School, Brooklyn, NY
2 (9x1+9)/9 Rachael Barker 4 Cheat Lake Elementary
2 (9 + 9) x 1 /9 Chelsea Butler 6 Raymond Park Middle school
2 (sqrt9-1+9)-9 Ashley Carter 6 Raymond Park Middle School
2 (9+9)/9x1 Sheleah Childers 6 Raymond Park Middle School
2 (9+9)/9x1 Tony Drake 6 Raymond Park Middle School
2 (9*1+9)/9 Alyssha Duncan 6 Raymond Park Middle School
2 (9+9)/9*1 Michael Falls 6 Raymond Park Middle School
2 sqrt9/sqrt9xsqrt9-1 Chelsea Flaum 10 Gulf Coast High School
2 1+9^(9-9) Lisa Gardner 3 Boyette Springs ES
2 1^9+9/9 Joel Gustavsson 12 Parkskolan
2 (9+9)/9x1 Trent Hagerty 6 Raymond Park Middle School
2 sqrt 9 + sqrt 9 - sqrt 9 - 1 Dana Hoggatt 6 Raymond Park Middle School
2 9+9x1/9 Anne McKinley 6 Raymond Park Middle School
2 (9+9)/9*1 David Moudy 7 Raymond Park Middle School
2 (9+9)/9x1 Sarah Power 6 Ramond Park Middle School
2 sqrt(9)-1+9-9 Miguel Camarena Sainz 10 Instituto Cumbres Bugambilias
2 (9+9)/(9/1) Michael Thompson 6 Raymond Park Middle School
2 (9+9)*1/9 Abigail Wright 6 Raymond Park Middle School
2 (9+9)/9x1 Jennifer, Carlee, Delano, Michael (Table 2) 7 St.Jude School, Brooklyn, NY
2 (9/1+9)/9 math Group #4 8 Ashford School
3 (9+9)/9+1 David Auble 6 Raymond Park M.S.
3 (9+9)/9 +1 Lionel Augustin 8 St.Jude School, Brooklyn, NY
3 (9+9)/9+1 Sarah Bocik 6 Raymond Park Middle School
3 (9+9)/9+1 Sheleah Childers 6 Raymond Park Middle School
3 (9+9)/9+1 Tony Drake 6 Raymond Park Middle School
3 (9+9)/9+1 Michael Falls 6 Raymond Park Middle School
3 sqrt9/sqrt9+sqrt9-1 Chelsea Flaum 10 Gulf Coast High School
3 (9+9)/9+1 Jeramey Franklin 6 Raymond Park Middle School
3 1*9 -9 +sqrt9 Lisa Gardner 3 Boyette Springs ES
3 sqrt9x1-sqrt9+sqrt9 Sara Gobble 6 Raymond Park Middle School
3 9xsqrt9/9x1 Michelle Goldwyn 8 Reading-Fleming Middle School
3 (sqrt9+9)-9x1 Trent Hagerty 6 Raymond Park Middle School
3 (9x1)-9+ sqrt 9 Dana Hoggatt 6 Raymond Park Middle School
3 ((9 + 9) / 9 ) +1 Lisa Johnson 4 Cheat Lake Elementary
3 (9+9)/9+1 Anne McKinley 6 Raymond Park Middle School
3 (9+9)/9+1 David Moudy 7 Raymond Park Middle School
3 ( (9 + 9) / 9 ) + 1 Andrew Wiesenmayer 4 Cheat Lake Elementary
3 (sqrt9x9)/9x1 Jennifer, Carlee, Delano, Michael (Table 2) 7 St.Jude School, Brooklyn, NY
4 sqrt9+9-9+1 David Auble 6 Raymond Park M.S.
4 9/9 + sqrt 9 x 1 Lionel Augustin 8 St.Jude School, Brooklyn, NY
4 sqrt9+9+1-9 Ashley Carter 6 Raymond Park Middle School
4 sqrt9+9-9+1 Sheleah Childers 6 Raymond Park Middle School
4 sgrt9+9-9+1 Peter Craig 6 Raymond Park Middle School
4 sqrt9+9-9+1 Tony Drake 6 Raymond Park Middle School
4 sqrt9+1+9-9 Alyssha Duncan 6 Raymond Park Middle School
4 (sqrt (9) + 9) - (9-1) Michael Falls 6 Raymond Park Middle School
4 (1 - 9) + (9+sqrt9) Lisa Gardner 3 Boyette Springs ES
4 9xsqrt9/9+1 Michelle Goldwyn 8 Reading-Fleming Middle School
4 (sqrt9+9)-9+1 Trent Hagerty 6 Raymond Park Middle School
4 sqrt 9 + 9-9+1 Dana Hoggatt 6 Raymond Park Middle School
4 sqrt9+9-9+1 Anne McKinley 6 Raymond Park Middle School
4 ( ( 9 / 9) + sqrt 9 ) x 1 Will Morrison 4 Cheat Lake Elementary
4 (9-9)+sqrt9+1 David Moudy 7 Raymond Park Middle School
4 (sqrt9+9)-9+1 Sarah Power 6 Ramnond Park Middle School
4 1+sqrt(9+9-9) Miguel Camarena Sainz 10 Instituto Cumbres Bugambilias
4 sqrt9+9-9+1 Orion Strater 6 Raymond Park Middel School
4 sqrt9+9-9+1 Michael Thompson 6 Raymond Park Middle School
4 (1-9)+(sqrt9+9) Chris Waid 8 RFMS
4 (sqrt9x9)/9+1 Jennifer, Carlee, Delano, Michael (Table 2) 7 St.Jude School, Brooklyn, NY
5 sqrt9xsqrt9-sqrt9-1 David Auble 6 Raymond Park M.S.
5 9/9 + 1 + sqrt 9 Richie Bieber 8 St.Jude School, Brooklyn, NY
5 9/9+sqrt9+1 Ashley Carter 6 Raymond Park Middle School
5 (sqrt (9)! +9-9-1 Michael Falls 6 Raymond Park Middle School
5 (1*(sqrt9)!) - 9/9 Lisa Gardner 3 Boyette Springs ES
5 (sqrt9! +9)-(9+1) Trent Hagerty 6 Raymond Park Middle School
5 sqrt 9 x sqrt 9 - sqrt 9 - 1 Dana Hoggatt 6 Raymond Park Middle School
5 1 + 9/9 + sqrt9 Keri Lewis 8 Kickemuit Middle School-Warren,RI
5 ( ( 9 / 9) + sqrt 9 ) + 1 Will Morrison 4 Cheat Lake Elementary
5 [9-9+(sqrt9)! ]-1 David Moudy 7 Raymond Park Middle School
5 1+sqrt(9)+9/9 Miguel Camarena Sainz 10 Instituto Cumbres Bugambilias
5 (sqrt9! -1)+(9-9) David Wills 6 Raymond Park Middle School
5 [(sqrt9)! -1]x9/9 Jennifer, Carlee, Delano, Michael (Table 2) 7 St.Jude School, Brooklyn, NY
6 (9+9)x1/sqrt9 David Auble 6 Raymond Park M.S.
6 (9+9)/sqrt9x1 Richie Bieber 8 St.Jude School, Brooklyn, NY
6 (sqrt9)! +(9x1-9) Tony Drake 6 Raymond Park Middle School
6 (sqrt9! +9)-(9*1) Michael Falls 6 Raymond Park Middle School
6 (1^9)(9) - sqrt9 Lisa Gardner 3 Boyette Springs ES
6 sqrt 9 x sqrt 9- sqrt 9 x 1 Dana Hoggatt 6 Raymond Park Middle School
6 ( (9 + 9) / (sqrt 9 ) ) x 1 Will Morrison 4 Cheat Lake Elementary
6 [9-9+(sqrt9)! ]*1 David Moudy 7 Raymond Park Middle School
6 (9+9)x1/sqrt9 Abigail Wright 6 Raymond Park Middle School
6 [(sqrt9)! x9/9x1 Jennifer, Carlee, Delano, Michael (Table 2) 7 St.Jude School, Brooklyn,NY
7 (9+9)/sqrt9+1 David Auble 6 Raymond Park M.S.
7 9-9/9-1 Richie Bieber 8 St.Jude School, Brooklyn, NY
7 sqrt9! +9-9+1 Michael Falls 6 Raymond Park Middle School
7 (-1) + 9 - 9/9 Lisa Gardner 3 Boyette Springs ES
7 ( 9 - 1 ) - ( 9 / 9 ) Will Morrison 4 Cheat Lake Elementary
7 [9-9+(sqrt9)! ]+1 David Moudy 7 Raymond Park Middle School
8 9x9/9-1 Richie Bieber 8 St.Jude School, Brooklyn, NY
8 9x9/9-1 Ashley Carter 6 Raymond Park Middle School
8 9-1+9-9 Tony Drake 6 Raymond Park Middle School
8 (9+9)-(9+1) Michael Falls 6 Raymond Park Middle School
8 9-9+9-1 Chelsea Flaum 10 Gulf Coast High School
8 (-1) + 9 + 9 - 9 Lisa Gardner 3 Boyette Springs ES
8 9x9/9-1 Michelle Goldwyn 8 Reading-Fleming Middle School
8 (9x9) / 9 - 1 Dana Hoggatt 6 Raymond Park Middle School
8 9 + ( 9 - 9) - 1 Will Morrison 4 Cheat Lake Elementary
8 (9-9)+9-1 David Moudy 7 Raymond Park Middle School
8 (9-9)+9-1 Sarah Power 6 Ramnond Park Middle School
8 9-1+9-9 Michael Thompson 6 Raymond Park Middle School
8 sqrt9+sqrt9+sqrt9-1 Chris Waid 8 RFMS
8 9 + 9 - 9 - 1 Andrew Wiesenmayer 4 Cheat Lake Elementary
8 9+9-9-1 Victoria 5 James River Elementary
8 9/9*9-1 MATH GROUP #13 8 ASHFORD SCHOOL
9 9-9x1+9 David Auble 6 Raymond Park M.S.
9 9/9x9/1 Ashley Carter 6 Raymond Park Middle School
9 1x9+9-9 Karen Compton 8 Reading Fleming Middle School
9 (1x9) + (9-9) Noel DeRiggs 8 St.Jude School, Brooklyn, NY
9 9*9/9*1 Alyssha Duncan 6 Raymond Park Middle School
9 (9+9)-(9*1) Michael Falls 6 Raymond Park Middle School
9 1*9 +9 - 9 Lisa Gardner 3 Boyette Springs ES
9 (9+9)-9x1 Trent Hagerty 6 Raymond Park Middle School
9 (9x9) / 9 x 1 Dana Hoggatt 6 Raymond Park Middle School
9 9 x ( 9 / 9) x 1 Will Morrison 4 Cheat Lake Elementary
9 (9-9)+(9*1) David Moudy 7 Raymond Park Middle School
9 (9/9)+9-1 Sarah Power 6 Ramnond Park Middle School
9 1 x 9 - 9 + 9 Niki Sass 6 Sterling Elementary
9 (1*9)(9/9) Kevin Sullens 8 Reading Fleming Middle School
9 9+9-9/1 Michael Thompson 6 Raymond Park Middle School
9 [(1+9)-9]*9 Chris Waid 8 RFMS
9 1x9-9+9 Abigail Wright 6 Raymond Park Middle School
9 (1+9-9)x9 Victoria 5 James River Elementary
9 (9+1*9)-9 Math Group 2 8 Ashford School
10 (9+1)+9-9 David Auble 6 Raymond Park M.S.
10 1*9/9+9=10 Jared Baker 8 Reading-Fleming Middle School
10 9(9/9)+1 Noel DeRiggs 8 St.Jude School, Brooklyn, NY
10 (9+1)+(9-9) Michael Falls 6 Raymond Park Middle School
10 (9+9)-(9-1) Michael Falls 6 Raymond Park Middle School
10 9/9x1+9 Chelsea Flaum 10 Gulf Coast High School
10 9/9x9+1 Chelsea Flaum 10 Gulf Coast High School
10 9-9+9+1 Chelsea Flaum 10 Gulf Coast High School
10 1+sqrt9+sqrt9+sqrt9 Chelsea Flaum 10 Gulf Coast High School
10 1 + 9+9 -9 Lisa Gardner 3 Boyette Springs ES
10 (9/9)x1+9 Sara Gobble 6 Raymond Park Middle School
10 9x9/9+1 Michelle Goldwyn 8 Reading-Fleming Middle School
10 (9x9)/9+1 Trent Hagerty 6 Raymond Park Middle School
10 9 + 1 + 9 - 9 Dana Hoggatt 6 Raymond Park Middle School
10 1+9(9/9) Keri Lewis 8 Kickemuit Middle School-Warren,RI
10 9 + ( 9 - 9) + 1 Will Morrison 4 Cheat Lake Elementary
10 1+9+9-9 David Moudy 7 Raymond Park Middle School
10 9+1-9+9 Tom Muller 8 Reading-Fleming Middle School
10 (9+1)+(9-9) Sarah Power 6 Ramnond Park Middle School
10 1+9+9-9 Miguel Camarena Sainz 10 Instituto Cumbres Bugambilias
10 1*9/9+9 Chris Scanlan 8 Reading Fleming Middle School
10 (1+9)*9/9 Lauren Schwab 8 R.F.M.S
10 (1+9)(9/9) Kevin Sullens 8 Reading Fleming Middle School
10 9 + 1 + (9-9) Andrew Wiesenmayer 4 Cheat Lake Elementary
10 1x9/9+9 Abigail Wright 6 Raymond Park Middle School
10 1+9-9+9 Victoria 5 James River Elementary
10 9+9-9+1 MATH GROUP #13 8 Ashford School

Solutions 11 to 20 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 1998