The Maths Thread

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.
 

Don't have an account? Register now and see fewer ads!

SIGN UP
Back
Top
  AdBlock Detected
Bluemoon relies on advertising to pay our hosting fees. Please support the site by disabling your ad blocking software to help keep the forum sustainable. Thanks.