Puzzles with numbers and things

[Monique]

R407 news... Well, well... Moglet and snookersfun are cleverer than that bunch of :snooker: players! Well done!

[Monique]

Ok ... let's give Barry a small hint.
Looking at the numbers at the right, the three first rows must contain ten chalks each. Now they could be clustered in "small squares" or in "big squares". However if they are all in small squares, we have a problem because rows 4 to 6 must also contain 8 chalks each and the square clusters can't touch even by a corner. So it's fair to assume the is at least one "big square" in the upper rows.
Now looking to the numbers below, one sees that the biggest possible square can only be 6x6 and if so must be between columns 5 and 10 included.
So lets assume we have such a 6x6 square, in rows 1 to 6 and colums 5 to 10 ...

[snookersfun]

old news (sorry, a bit late updating this)

Mon, moglet and abextra solved R.406, congratulations!!

The solution can come up on the thread now.

[abextra]

R.406

The solution can come up on the thread now.

Here's mine (hope there are no typos ).

[abextra]

Ok ... let's give Barry a small hint.
...

Thank you, Monique, hopefully it helps Barry.

I'm useless here, so I better join that bunch of :snooker: players (not a bad company, lol)!

[moglet]

Here's mine (hope there are no typos ).

Here's mine abextra, looks identical

[moglet]

R408

"Battletriangles" for a change

The apes have triangles for any size of pack and Gwenny has arranged a set of grey balls, she can't remember why they have any, in a triangle for a pack sixteen balls on the base. Amongst them are some balls she has painted with coloured numbers. To while away a few spare minutes between snooker sessions she has challenged the boys to swap unnumbered grey balls for arrangements of coloured balls each in a triangular formation as well as some single reds. The "triangles", she tells them, can be in either orientation, pointing upwards or downwards, but they must not touch each other even if they are the same colour, as the single reds mustn't either, nor must they disturb the numbered balls. So all they have to do is swap the balls leaving them so that the coloured numbers represent the sum of all the balls of that colour that can be found in the rows of balls from that number in all possible directions that are parallel with the sides of the wooden frame.

The boys just managed it before they'd to start their next session, how did they do it?



Answers by PM please.

[abextra]

Here's mine abextra, looks identical

[ATTACH]2686[/ATTACH]

Lol. great minds think alike!

[Monique]

Breaking news ... Abextra now in with a solution for R407. Well done!

Next answer on the thread please...

[snookersfun]

Happy to announce that abextra has solved R.405 as well. Congrats!

the solution can come up on the thread now...

[Monique]

R405 ... here it is ...

battlechalks-2-vF.bmp

red chalks

[moglet]

R408

As a first time problem setter I'm relieved that I have two solvers so far in Monique and snookersfun. Well done both.

[Monique]

R408

As a first time problem setter I'm relieved that I have two solvers so far in Monique and snookersfun. Well done both.

Thank you for that Moglet. It was an interesting one. I struggled with it and yet it wasn't that difficult. But I was the victim of one of those "tricks of the mind" ... I wont say more for now in case others are still trying I don't want to spoil the fun.

[moglet]

R408

Recent news, abextra has found an alternative solution I had missed and deserves a bonus point as well as congratulations.

[snookersfun]

oh, no! Recent attachments are now also missing, or actually, I don't seem to see the .bmp file I'm attaching here even (anything wrong with my PC?)

but meanwhile:

R. 409 keeping scores

This being the off-tournament season, the apes still put a lot of snooker practice in. Recently Charlie, in a bid to collect some statistics, decided to try out some new score sheets to record the apes' breaks. In order to gauge the breaks easier (from crap to wow) he keeps two different sheets (a) for breaks up to 75 and b) anything higher and also groups the breaks on each sheet into columns of 15 each).

Here is Charlie's first completed score sheet of type (a) (somehow he had only four 31-45 breaks and therefore left the middle cell blank), for now a little bare looking.
score-1.bmpscore-2.JPG
But, can you reconstruct the numbers written on this sheet, if Charlie gives you the following information?

1) No number appears more than once
2) For each column the numbers are either in ascending or descending order
3) Row 1) contains all prime numbers
4) Row 5) contains all composite numbers
5) The numbers in column C are spaced evenly
6) The numbers in column E are spaced at different intervals
7) The sum of the numbers in row 1is the same as that in row 5
8) The product of S4 and E5 equals the product of S5 and E4
9) The product of C2 and R2 equals the product of C3 and R3
10) O4 is midway between S4 and R4
11) Each column contains one multiple of 6
12) The sheet contains only one square number

Answers by PM please