Puzzles with numbers and things

[The Statman]

yes but in this number scale two is the maximum there can be. no number will have three ands between one and ten million.

What about Six Million Seven Hundred AND Forty-two Thousand Eight Hundred AND Thirty-six AND a Half?

OK i'll grab my coat...

[davis_greatest]

I will add on points scored from the answers I have had so far to round 79 - congratulations so far to snookersfun and elvaago.

SO HERE IS THE SCOREBOARD AFTER ROUND 78, BEFORE CHASMMI'S ROUND 77 (COUNTING LETTERS), AND WITH POINTS SCORED SO FAR ON ROUND 79 (WHICH IS STILL OPEN)

snookersfun……………………….…..38½
abextra...............................20½
davis_greatest.....................16½
Vidas..................................12½
elvaago...............................8
chasmmi..............................7
robert602.............................6
The Statman……………………...……5
Sarmu..................................5
Semih_Sayginer.....................2½
austrian_girl and her dad.........2½
April Madness........................1

[davis_greatest]

A couple of correct answers received so far to round 79. It is, of course, still open.


At the same time, you can have a go at....

Round 80: Ape Garden

I have given Charlie, Oliver and Gordon some parts of my garden for them to play. Charlie has his own area, whereas Oliver and Gordon wanted to share an area, so they jointly share a patch bigger than Charlie’s.

Gordon and Oliver’s area is a regular shape, and they decide to decorate it. So they both bring some paving stones, each the same shape as their area of the garden (but obviously much smaller). Gordon brings brown paving stones, the colour of his fur, while Oliver brings orange ones. The paving stones are all the same size, but Oliver brings more than Gordon.

Anyway, they lay the stones out, and they exactly cover their area of garden (with no gaps and no stones overlapping). In fact, they have laid them out cleverly, so that no two stones of the same colour touch (except perhaps at their corners, but no two stones of the same colour lie along a common edge).

Well, when they have finished, Charlie comes and has a look, but he says he doesn’t like it. So Gordon and Oliver pick up their paving stones, and rearrange them, again covering their area of the garden. This time, they place them so that every orange stone has at least one of its corners on the outside edge of Gordon and Oliver’s area of my garden, while no brown stone has any corners on the outside edge.

How many paving stones are there in Oliver and Gordon's area of my garden?

Answers by Private Message please. You can have until Initial Deadline of 21:00 GMT, Friday 8 December.

[snookersfun]

good to see, that everything seems to be back to normal

[davis_greatest]

Round 79 - bags of chalks

An easier one….!

I am teaching my three pet apes how to divide things. I take a number of blue chalks, and a smaller number of green chalks. We then mix them all up, and divide them up into 8 bags. Then we all go out to play, each carrying a bag of chalks in each hand, with each bag containing an equal number of chalks.

I then check how well the apes were paying attention, by asking them to complete this crossnumber puzzle. The clues are mixed up though. Gordon was the slowest to complete it, taking nearly 7 seconds. However, he wasted 5 seconds when he dropped his crayon and picked up a banana instead. What is his solution?

Answers by Private Message please. Initial Deadline of 22:00 GMT, tomorrow, Wednesday 6 December.

The clues are:

Number of blue chalks
Total number of chalks
Number of green chalks
Chalks in each bag.

[davis_greatest]

SO HERE IS THE SCOREBOARD AFTER ROUND 78, BUT BEFORE CHASMMI'S ROUND 77 (COUNTING LETTERS)

snookersfun……………………….…..37½
abextra...............................20½
davis_greatest.....................16½
Vidas..................................12½
elvaago...............................7
chasmmi..............................7
robert602.............................6
The Statman……………………...……5
Sarmu..................................5
Semih_Sayginer.....................2½
austrian_girl and her dad.........2½
April Madness........................1

[snookersfun]

Oh, this works, swell!
Elvaago, am I happy to see you here...

[elvaago]

Round 78!
One point to snookersfun, abextra, davis_greatest and sarmu.
chasmmi gets half a point.
The solution can be seen below.

The honorary mentions were to chasmmi (369) and austrian_girl (367). I don't think that austrian_girl's dad had a go at this one, did he?

No, he didn't! The other one I could turn into a maths riddle that I could have found anywhere. With this one, I would've had to admit that I'm actually spending my free time on a snooker message board solving some crazy maths problems and talking to people as hooked as me.

Seriously tho, I just couldn't remember the way the pockets were arranged.

[snookersfun]

Here is my 370: (It is basically Sarmu's with the first part switched around)
15 reds
1)pink-pink-12
2)purple-purple-22
3)silver-silver-18
4)black-black-14
5)orange-orange-16
6)olive-olive-20
7)pink-pink-12
8)purple-purple-22
9)silver-silver-18
10)black-black-14
11)orange-orange-16
12)olive-olive-20
13)pink-pink-12
14)purple-purple-22
15)silver-silver-18

=256 points

yellow-purple-2
green-green-6
brown-purple-4
blue-blue-10
pink-orange-6
black-black-14
orange-orange-16
silver-olive-9
olive-pink-10
purple-purple-22
=99 points

together 370 points

[Sarmu]

The highest breaks submitted to Round 68 Ape Break Madness were 370 from Sarmu, snookersfun and abextra, who are now all invited to post their solutions here. 370 was also the maximum that is possible.

The honorary mentions were to chasmmi (369) and austrian_girl (367). I don't think that austrian_girl's dad had a go at this one, did he?

My solution

start with red followed by colour in this order all into their own pocket

9 11 6 10 8 7 9 11 6 10 8 7 9 11 6

so it is

red 9 red 11 red 6 red 10 red 8 red 7 red 9 red 11 red 6 red 10 red 8 red 7 red 9 red 11 red 6

which is:
15 + (9x2+11x2+6x2+10x2+8x2+7x2+9x2+11x2+6x2+10x2+8x2+7 x2+9x2+11x2+6x2)
= 15 + 2x(128)
= 271

thats 15 red + colour, the rest should go by
2 into 11 pocket = 2 point
3 into 3 pocket = 6 point
4 into 11 pocket = 4 point
5 into 5 pocket = 10 point
6 into 8 pocket = 6 point
7 into 7 pocket = 14 point
8 into 8 pocket = 16 point
9 into 7 pocket = 9 point
10 into 9 pocket = 10 point
11 into 11 pocket = 22 point
Total = 99 point

so 271 + 99 = 370 break!!!

[davis_greatest]

Round 68 Ape Break Madness deadline has expired

The highest breaks submitted to Round 68 Ape Break Madness were 370 from Sarmu, snookersfun and abextra, who are now all invited to post their solutions here. 370 was also the maximum that is possible.

The honorary mentions were to chasmmi (369) and austrian_girl (367). I don't think that austrian_girl's dad had a go at this one, did he?

[davis_greatest]

chasmmi's problem, incidentally, is round 77

and elvaago's is round 78

[elvaago]

Round... 77.

A farmer has an extensive piece of land. On his land, he built a large farmhousefor himself, his wife and his four sons. But the farmer is getting older and he is too old to manage the entire farm by himself. So he wants to divide his land into four pieces, one piece for each son. He also decides that each piece should be the same shape and the same size, to avoid strife between his boys.

An image is attached that shows a map of the estate. The square marked 'H' is the house. Can you show us how to divide the rest of the land into four pieces that are the same shape and the same size as eachother? Since this puzzle is fairly easy, I'll make the deadline short. 9 AM Monday morning. Answers by PM.

PS, if you already actually know this puzzle, you are disqualified!

[davis_greatest]

I've just found this and reminded myself what the deadline is. There are 40 minutes to go for anyone wishing to join Sarmu, snookersfun, abextra, chassmi and austrian_girl in scoring points for this round...

Would you like another Ape Break round?

I'm sure you are familiar with the rules by now. You need to find the highest break you can (without using a free ball).

This time, it's a bit different. It's like normal snooker, still with 15 reds, but now there are 4 extra colours. You have to pot red, colour, red, colour etc, just like in normal snooker, but then pot the 10 colours in order (instead of the usual six).

The colours are:

yellow: 2 points (if you can't read that, it says yellow: 2 points)
green: 3 points
brown: 4 points
blue: 5 points
pink: 6 points
black: 7 points
orange: 8 points
silver: 9 points
olive: 10 points
purple: 11 points


There are now 10 pockets (one extra pocket added on each edge of the table). From top left, going clockwise, the pockets are:

purple, brown, orange, green, pink, silver, blue, olive, yellow, black

So the table looks a bit like this - I've put the value of the colour of each pocket to help you see, in case you are colour blind.

11-------4-------8
!......................!
!......................!
!......................!
7.....................3
!......................!
!......................!
!......................!
2.....................6
!......................!
!......................!
!......................!
10-------5-------9


The rules are

a) Once a colour has been potted, the same colour cannot be potted following the next red, nor following the red after that. (Once the 15th red and colour have been potted, this rule no longer applies - the final colours may and must be potted in the usual order of yellow, green, brown, blue, pink, black, orange, silver, olive, purple, regardless of the colours potted with the final reds.)

Example 1: Red Brown Red Yellow Red Blue Red Brown IS allowed
BUT
Example 2: Red Brown Red Yellow Red Brown IS NOT

Example 3: For the 14th and 15th reds,
Red Black Red Yellow Yellow Green Brown Blue Pink Black Orange Silver Olive Purple IS allowed


b) Whenever a colour has been potted into a corner pocket, the following colour cannot be potted into any pocket that lies along the same edge - that means it may not be on the same side (left or right) of the table, nor at the same end (top or bottom).

Example A: after potting a colour into the orange pocket, it would not be permissible to pot the next colour into the orange, green, pink or silver pockets (same side), nor into the purple or brown pockets (same end).

c) Whenever a colour has been potted into a pocket that is not a corner pocket, the following colour must be potted into a corner pocket, but must not lie on the same edge.

Example B: after potting a colour into the yellow pocket, the following colour can only be potted into the orange or silver pockets.

Example C: after potting a colour into the blue pocket, the following colour can only be potted into the orange or purple pockets.

d) Rules b) and c) apply even when down to the final 10 colours after all the reds have gone.

e) None of these rules apply to reds. It makes no difference into which pockets reds are potted.

f) And this is the important bit: potting a colour into a pocket of the same colour as the ball (e.g. pink into pink pocket) scores double points (in this example 2 x 6 = 12).


As ever, your question is: what is the highest break (ignoring free balls) you can make?

You don't need to say the highest theoretically possible - you just need to send me the highest break that YOU can find by Private Message by the Initial Deadline of 18:00 GMT on Sunday 3 December.


If you have any questions, please ask them on the thread.


You should explain how you get your break. For example, you might say:

Red
Green into Yellow pocket (or whatever)
Red
Pink into Orange pocket (or whatever)
....
...

and after all 15 reds and colours...

Yellow into Yellow pocket (or whatever)
Green into Silver pocket (or whatever)
Brown into Black pocket (or whatever)
....