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Zero to a Hundred in 1996 (Posted on 2002-08-15) Difficulty: 3 of 5
Using the digits in 1996 and any operations (but not mathematical constants), try to write equations that have the numbers from 0 to 100 as the answer.

For example with 1995:

  • 0 = 1*(9-9)*5
  • 2 = (19-9)/5
    etc.

    Provide as many as you can. Digits 1,9,9 and 6 do not have to appear in order. (But each digit has to be used - 1 and 6 once, 9 twice.)

    This is more of a game than a puzzle

  • See The Solution Submitted by levik    
    Rating: 3.4000 (10 votes)

    Comments: ( Back to comment list | You must be logged in to post comments.)
    Solution Not quite full solution | Comment 6 of 27 |
    I'm missing 3 values - 29, 41 and 91... (plus I've probably got a typo/mistake somewhere else...)

    0 = (9-9)*6*1
    1 = ((9-9)*6)+1
    2 = ((9+9)/6)-1
    3 = ((9+9)/6)*1
    4 = ((9+9)/6)+1
    5 = ((9*6)/9)-1
    6 = (1*6)+9-9
    7 = 1+9+6-9
    8 = (9/9)+6+1
    9 = 9*(1^(6+9))
    10 = 9+(1^(6+9))
    11 = 9+9-1-6
    12 = (9+9-6)*1
    13 = 9+9+1-6
    14 = 9+6-(1^9)
    15 = (1+9)*9/6
    16 = 19-9+6
    17 = 9+9-(1^6)
    18 = (9-6-1)*9
    19 = 9+9+(1^6)
    20 = (9*9)-61
    21 = (6+(1^9))*sqrt(9)
    22 = 19+9-6
    23 = 9+9+6-1
    24 = (1*9)+6+9
    25 = 1+6+9+9
    26 = ((9-6)*9)-1
    27 = (9-6)*9*1
    28 = ((9-6)*9)+1
    29 = ???
    30 = (9*6)-((sqrt(9)+1)!)
    31 = (96/sqrt(9))-1
    32 = (96/sqrt(9))*1
    33 = (96/sqrt(9))+1
    34 = 19+9+6
    35 = (6*9)-19
    36 = (9+1-6)*9
    37 = 91-(6*9)
    38 = 99-61
    39 = ((9-1)*6)-9
    40 = ((9-sqrt(16))!)/sqrt(9)
    41 = ???
    42 = ((6-1)*9)-sqrt(9)
    43 = 61-9-9
    44 = (9*6)-9-1
    45 = (9*6)-(9*1)
    46 = (9*6)-9+1
    47 = (9*6)-((sqrt(9))!)-1
    48 = 6*(9-(1^9))
    49 = 61-9-sqrt(9)
    50 = 69-19

    (values 51-100 follow)
      Posted by Nick Reed on 2002-08-15 05:19:46
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