Puzzles with numbers and things

[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]

chasmmi's problem, incidentally, is round 77

and elvaago's is round 78

[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?

[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!!!

[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

[austrian_girl]

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.

[elvaago]

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

[snookersfun]

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

[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

[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.

[snookersfun]

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

[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.

[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

[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]

...and a point to abextra for round 79! The round is still open though!

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...............................21½
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