The Maths Thread

I've just been at that in the coffee shop after doing my supermarket shop.

Got 1,2, 6 & 7. Confident I can get 4.

5 is the one doing my strudel. First line is easy. The rest.... uhhhh.

FWIW, the last one is supposed to be solved using the picture included in the two page "Christmas Card" layout.

I've included it here (not perfect quality but readable and a small file).

View attachment 101419

The original is a 6mb PDF available on the GCHQ site, here.
I’ve got 1-3, 3/4 of 5 and 6. Still working on WU, SQ etc.

7, I will work on. I’m assuming the word after 4- .

4 will take a bit longer!
 
I've just been at that in the coffee shop after doing my supermarket shop.

Got 1,2, 6 & 7. Confident I can get 4.

5 is the one doing my strudel. First line is easy. The rest.... uhhhh.

FWIW, the last one is supposed to be solved using the picture included in the two page "Christmas Card" layout.

I've included it here (not perfect quality but readable and a small file).

View attachment 101419

The original is a 6mb PDF available on the GCHQ site, here.
Thanks for posting the full card. My son sent it me this morning, and I beat both my sons to complete it. They are both working though, whereas I'm retired.

The picture isn't relevant to the final answer. Or more accurately, it isn't needed to work out the final answer.

I struggled most with number 2, and worked out the answer to this by completing the final answer.

I love this sort of thing at Christmas - spending hours contemplating a logic problem.
 
Yeah, I've got the lot except the last. The less said about how I cracked 4, the better!

The Times had said the picture was helpful? They also had the answers underneath? And the Guardian, I've just noticed, gave a big clue to 1-7 that I didn't get elsewhere. Pfft.

I think I know where the last one is coming from. Might leave it overnight.
 
I've just been at that in the coffee shop after doing my supermarket shop.

Got 1,2, 6 & 7. Confident I can get 4.

5 is the one doing my strudel. First line is easy. The rest.... uhhhh.

FWIW, the last one is supposed to be solved using the picture included in the two page "Christmas Card" layout.

I've included it here (not perfect quality but readable and a small file).

View attachment 101419

The original is a 6mb PDF available on the GCHQ site, here.
Got question five pretty quick. PM me if you want to know how I solved it.
Or alternatively to shred my answer to pieces if it's wrong.
 
Managed them all. Struggled a bit on 7 but got it by doing the last bit and worked backwards.
 
One minute to think of this solution. I must be a genius.

Note - not to scale.
d4592b756d769ebd554eddcbc15e01d7.jpg
 
View attachment 115691
Is that allowed? (oh read the question wrong, flip the shading/unshading)
That's what I initially thought of. But then I thought... how would I actually go about accurately shading the perimeter of the inner square? Which led me to think about, perhaps folding the larger square in half or perhaps along the diagonals to assist in shading... Hmm... Which then led me to think about each of the 4 sub-squares. How do I go about shading exactly the right amount of each of them... hang on, the right amount is 1/2! And bingo!
 
That's what I initially thought of. But then I thought... how would I actually go about accurately shading the perimeter of the inner square? Which led me to think about, perhaps folding the larger square in half or perhaps along the diagonals to assist in shading... Hmm... Which then led me to think about each of the 4 sub-squares. How do I go about shading exactly the right amount of each of them... hang on, the right amount is 1/2! And bingo!
Genius.
 
For anyone with a liking of logic puzzles, have a look at these.


The basic premise is a given number of stars (1, 2 or 3) are to be placed on each row, column and in each shape, with none touching in any direction including diagonally.

My son tells me all puzzles should be solvable using logic alone. I have my doubts.

For anyone familiar with the game, can you spot anywhere I could add an x below. The last one I could find is the white square one. This game is supposed to be of normal difficulty level.

Link to this game here: https://www.puzzle-star-battle.com/?e=NzoxNyw4MzksNTQ0

5597e4cc651f071ca02c8445b7be4c8d.jpg
 
It's that time of year when the GCHQ Christmas Quiz is released. Kids that complete this are considered to to be candidates for careers in cyber security, and similar industries.

I found this year's version a little easier than previous years. I completed 1 to 7 in about 40 minutes, and the overall solution in a further 30 minutes. Q7 and the final question were facilitated by Excel and some minor coding.

Here is this year's quiz: https://www.gchq.gov.uk/files/GCHQ Christmas Challenge 2024.pdf
 
It's that time of year when the GCHQ Christmas Quiz is released. Kids that complete this are considered to to be candidates for careers in cyber security, and similar industries.

I found this year's version a little easier than previous years. I completed 1 to 7 in about 40 minutes, and the overall solution in a further 30 minutes. Q7 and the final question were facilitated by Excel and some minor coding.

Here is this year's quiz: https://www.gchq.gov.uk/files/GCHQ Christmas Challenge 2024.pdf

Got one to five quite easily then needed a pen and paper!

Enjoyed it though. Agree seems easier than previous years.
 
I am revisiting algebra before I look at calculus so that I do not forget. I created this in python matplotlib to show the inverse relationship between e^x and the natural log. I know you know this but I wanted to remember because if you don't use it you lose it.

1755102172575.png
 

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