Maths problem 9999

[Wongo]

Use exactly four 9s and any number of arithmathic or higher level math operations to make numbers from 1 to 20.
Example
1=(9+9)/(9+9)
7=(9+9+sqrt9)/(sqrt9)

Here is a cracker from a few years back. Have fun.

[watson]

Can't.......got a headache Wongo.......and I will have until you post the answer

[ss_11000]

1 = (9+9) / (9+9) ..................................18 / 18 = 1
2 = (sqrt9 * sqrt9 + 9) / 9 ................................18/9 = 2
3 = (9+9+9) / 9 .................................27 / 9 = 3
4 = (sqrt9 * 9 +9) /9.....................36/9 = 4
5
6 = sqrt9 ((9+9) / 9)............................ 3 * 18/9 = 6
7 =(9+9+sqrt9)/(sqrt9)............................ 21/3 = 7
8 = (9 squared - 9) / sqrt9 * sqrt9...........................72/9 = 8
9 = (((9*9) / sqrt9) /sqrt9)..........................81 / 3 / 3 = 27/3 = 9
10 =( sqrt9 * 9 + sqrt9) /sqrt9.............................30 / 3 = 10
11 = (9 squared + 9 + 9 ) / 9.....................99/9 = 11
12 = sqrt9 + sqrt9 +sqrt9 +sqrt9...................3+3+3+3 = 12
13
14 = (9 squared + sqrt9) / (sqrt9 + sqrt9 )......................(81 + 3) / 6 =
15 = sqrt 9 * 9 - sqrt 9 - 9...................3*9 -12 = 15
16
17
18 = sqrt 9 * sqrt9 + sqrt9 *sqrt9...................9+9 = 18
19
20

i'll do the rest later. its to late to think lol

[ss_11000]

1 = (9+9) / (9+9) ..................................18 / 18 = 1
2 = (sqrt9 * sqrt9 + 9) / 9 ................................18/9 = 2
3 = (9+9+9) / 9 .................................27 / 9 = 3
4 = (sqrt9 * 9 +9) /9.....................36/9 = 4
5 = (9+sqrt9+sqrt9) / sqrt9.................15/3 = 5
6 = sqrt9 ((9+9) / 9)............................ 3 * 18/9 = 6
7 =(9+9+sqrt9)/(sqrt9)............................ 21/3 = 7
8 = (9 squared - 9) / sqrt9 * sqrt9...........................72/9 = 8
9 = (((9*9) / sqrt9) /sqrt9)..........................81 / 3 / 3 = 27/3 = 9
10 =( sqrt9 * 9 + sqrt9) /sqrt9.............................30 / 3 = 10
11 = (9 squared + 9 + 9 ) / 9.....................99/9 = 11
12 = sqrt9 + sqrt9 +sqrt9 +sqrt9...................3+3+3+3 = 12
13 = (((Sqrt9 + sqrt 9) squared) +sqrt9) / sqrt9 ...........3+3 sqrd +3 / 3 = 39/3 = 13
14 = (9 squared + sqrt9) / (sqrt9 + sqrt9 )......................(81 + 3) / 6 =
15 = sqrt 9 * 9 - sqrt 9 - 9...................3*9 -12 = 15
16
17 (9+9) - (9/9)......1..........................18-1 = 17
18 = sqrt 9 * sqrt9 + sqrt9 *sqrt9...................9+9 = 18
19
20 =

i'll do the rest later. its to late to think lol

.

geez, some of them ^^^ are overly complicated.

eg. 2

9/9 + 9/9 = 1+1 = 2

no wonder my head hurts lol

[Wongo]

The "9 squared" bit is a bit dodgy.

What's next 9 thirded, 9 tripled or 9 minus five times four ??

[Pat]

Wongo, please do not peddle this #$%^& as it will give everyone a doody of a headache (Except Sheddie)

[Wongo]

It's fun. Stirlo is enjoying it.

[ss_11000]

The "9 squared" bit is a bit dodgy.

What's next 9 thirded, 9 tripled or 9 minus five times four ??

why???

it works and thats all that matters

[Gingermick]

9-9+9²/9=9

[Wongo]

why???

it works and thats all that matters

No it doesn't grasshopper. 9 squared is not the math operation we want here. It is 9 to the power of 2 (we don't want the 2 here) unless you can find a symbol that does that (for example square root)

See.

Wax on wax off....

[Wongo]

9-9+9²/9=9

Only 9s and symbols sir.

[Ashore]

1 = (9+9) / (9+9) ..................................18 / 18 = 1
2 = (sqrt9 * sqrt9 + 9) / 9 ................................18/9 = 2
3 = (9+9+9) / 9 .................................27 / 9 = 3
4 = (sqrt9 * 9 +9) /9.....................36/9 = 4
5
6 = sqrt9 ((9+9) / 9)............................ 3 * 18/9 = 6
7 =(9+9+sqrt9)/(sqrt9)............................ 21/3 = 7 9 - (9 + 9 )/9 = 7
8 = (9 squared - 9) / sqrt9 * sqrt9...........................72/9 = 8 [( 9 x 9 )-9 ]/9 = 8
9 = (((9*9) / sqrt9) /sqrt9)..........................81 / 3 / 3 = 27/3 = 9
10 =( sqrt9 * 9 + sqrt9) /sqrt9.............................30 / 3 = 10 [( 9 x 9 ) + 9 ] / 9 = 10
11 = (9 squared + 9 + 9 ) / 9.....................99/9 = 11 9 + (9 + 9 ) / 9 = 11
12 = sqrt9 + sqrt9 +sqrt9 +sqrt9...................3+3+3+3 = 12
13
14 = (9 squared + sqrt9) / (sqrt9 + sqrt9 )......................(81 + 3) / 6 =
15 = sqrt 9 * 9 - sqrt 9 - 9...................3*9 -12 = 15
16
17 (9 + 9 ) - ( 9/9 ) = 17
18 = sqrt 9 * sqrt9 + sqrt9 *sqrt9...................9+9 = 18 [(9+9) /9] x 9 = 18

19 ( 9 + 9 ) + (9 / 9 ) = 19
20

i'll do the rest later. its to late to think lol

Some limited help

[Ron Dunn]

Anywhere you used 9-squared, just replace it with (9*9).

[ss_11000]

Anywhere you used 9-squared, just replace it with (9*9).

but then i might use two many 9's.

i see your point now scott...does seem like cheating lol


9 + (9 + 9 ) / 9 = 11...ashore, this one doesnt work

[ss_11000]

1 = (9+9) / (9+9) ..................................18 / 18 = 1
2 = (sqrt9 * sqrt9 + 9) / 9 ................................18/9 = 2
3 = (9+9+9) / 9 .................................27 / 9 = 3
4 = (sqrt9 * 9 +9) /9.....................36/9 = 4
5 = (9+sqrt9+sqrt9) / sqrt9.................15/3 = 5
6 = sqrt9 ((9+9) / 9)............................ 3 * 18/9 = 6
7 =(9+9+sqrt9)/(sqrt9)............................ 21/3 = 7
8 = [( 9 x 9 )-9 ]/9 = 8
9 = (((9*9) / sqrt9) /sqrt9)..........................81 / 3 / 3 = 27/3 = 9
10 =( sqrt9 * 9 + sqrt9) /sqrt9.............................30 / 3 = 10
11 = 9 + sqrt9 - 9/9 9 + (9 + 9 ) / 9 = 11

12 = sqrt9 + sqrt9 +sqrt9 +sqrt9...................3+3+3+3 = 12
13 = 9 + sqrt9 + 9/9
14 =
15 = sqrt 9 * 9 - sqrt 9 - 9...................3*9 -12 = 15
16
17 (9+9) - (9/9)................................18-1 = 17
18 = sqrt 9 * sqrt9 + sqrt9 *sqrt9...................9+9 = 18
19 ( 9 + 9 ) + (9 / 9 ) = 19
20 =

i'll do the rest later. its to late to think lol

.

3 left