Puzzles with numbers and things

[abextra]

... and here are my triangles...

[snookersfun]

here you go:
birdsofafeather.jpg

[davis_greatest]

abextra has mentioned that she had some computer problems, so her picture will follow later. Meanwhile, she has sent me an explanation of the diagrams, which I have checked - congratulations.

snookersfun, please put your picture up now so we can later compare them both!

[davis_greatest]

I bid 1+2+4+7+10=24.

Yes, very nice bid - I'm not absolutely certain but don't think this can be beaten. Please post the diagrams here.

snookersfun has also sent a picture with the same bid... so looks like this one is heading for a draw!

[abextra]

22... very nice opening bid.

I think there's still scope to bump the bid up a bit with those later diagrams...

I bid 1+2+4+7+10=24.

[davis_greatest]

first dance in: 1+2+4+6+9=22, might as well have lost the music there...

22... very nice opening bid.

I think there's still scope to bump the bid up a bit with those later diagrams...

[snookersfun]

Round 271 - Line Dancing

This is one for those who like using Paint, or a similar program, or felt tip pens and have a scanner.

You need to draw 5 separate (non-touching) drawings:

Bid here on the thread your total points for all 5 drawings (and give the split for each of the 5 drawings).

first dance in: 1+2+4+6+9=22, might as well have lost the music there...

[davis_greatest]

and anyone who solves that too quickly can do

Round 272 - Pinks and Browns

Charlie goes to Barry The Baboon's Ball Shop to buy some balls for potting practice. Every ball he buys, he is equally likely to choose pink or brown (regardless of what he has chosen before).

The following day, Gordon comes in to Barry's shop and does the same - except that he buys one ball more than Charlie had.

How likely is it that Gordon has more pinks to pot than Charlie? Answers straight on the thread please.

[davis_greatest]

Round 270 Pooker was successfully answered by Monique and snookersfun (both long ago!) - congratulations!

I'll ask Monique and snookersfun to put their answers to rounds 268 to 270 up on the thread from Monday. If anyone else wants to get in first, that leaves the weekend.

Round 271 - Line Dancing

This is one for those who like using Paint, or a similar program, or felt tip pens and have a scanner.

You need to draw 5 separate (non-touching) drawings:

Drawing A should consist of 3 green straight lines
Drawing B should consist of 4 brown straight lines
Drawing C should consist of 5 blue straight lines
Drawing D should consist of 6 pink straight lines
Drawing E should consist of 7 black straight lines

For each drawing, you should make as many triangles as you can. You score 1 point for each triangle formed, as long as it does not have any other lines (or parts of lines) inside it.

Your drawings must not contain any shapes with more than 3 sides (i.e. any polygons other than triangles), unless these are divided into triangles. An example of an illegal drawing with brown lines is shown below - it is illegal because it has a 4-sided shape in it.

Bid here on the thread your total points for all 5 drawings (and give the split for each of the 5 drawings).

[davis_greatest]

OK, then rounds 268 and 269 will close with the next answer - computers allowed (although unnecessary)

Meanwhile...

Round 270 - Pooker

I have just thrashed Charlie during a frame of pooker - it's a sort of cross between snooker and pool. There are many balls (between 50 and 500), numbered from 1 upwards. So the 1-ball is worth 1 point, the 2-ball is worth 2 points etc. Balls must be potted in ascending order.

I got in first and made a break. Then I missed and Charlie potted one ball, before missing. I then cleared the table.

The two breaks that I made during the frame were equal.

How many balls did I pot?

[dantuck_7]

You are supposed to do this without using a computer... well, unless you get desperate!

Puzzles on here are more fun with a PC!

[davis_greatest]

Update to rounds 268 and 269

Correct answers have come in to round 268 from Monique and snookersfun. They have also each found one of the 192 possible answers to round 269! Well done! Next answers can go on the thread...

[davis_greatest]

Round 268 is still open, of course, but in light of the quick answer from Monique, I'll add another round to be open at the same time.

Round 269 - Even money

In the post linked below, you can see a nice arrangement of 12 coins:

http://www.thesnookerforum.com/showp...postcount=1643

Each coin weighs a different amount, a whole number of grams from 1 to 12 grams.
There are 6 lines, each of 4 coins. Not only does each line add up to 4 pence, but each line also has the same weight.

Give a possible arrangement of the weights of the coins.

[davis_greatest]

first correct answer for round 268 is in from Monique!

[davis_greatest]

Round 268 - 10k-ball pool

I just played a frame of a new game that I had invented, called 10k-ball pool. There are 10,000 balls on the table, numbered from 1 to 10,000, and the white.

In this game, when you make a break, you can start by potting any ball you like, and thereafter any other ball so long as it is of higher value than the previous ball potted. Balls potted remain off the table.

The break is then the product (multiple) of the balls potted! So, if I potted 4, 7 and 1000, my break would be 4 x 7 x 1,000 = 28,000.

I just made a break of 147147147147 - and the first 6 balls I potted in my break were each numbered lower than 50.

What were those first six balls? And the 7th ball?

Answers initially by Private Message please. You are supposed to do this without using a computer... well, unless you get desperate!