I got it in the end.]]>

The third one requires breaking out from the puzzle different base colours. You will need to use some spectrum knowledge to understand how colours are made & therefore if they overlap they would make an alternative colour. There are only three main colours each one leads you to a letter, these then make up the answer.

]]>By the way, anyone who fancy's some mental challenges try www.puzzledonkey.com & see how far you can get! I'm now on puzzle 32 of the 4th puzzle donkey.

]]>Did I misread it, or were there only 7, and for second equation only 5?

]]>The smallest is, I think, (1+1)^(-(1+1)^(1+1+1)) = 2^(-2^3) = 2^-8 = 1/256.

Multiplying these together gives 1. But there are probably better numbers than that and so that's probably not right.

]]>The puzzle is below :-

Puzzle 11: Calc-mule-ations

PuzzleDonkey had been given a new set of fridge magnets for his birthday.

He wasn't very excited, though - there was a rather limited range of options.

His set comprised seven of each of the following symbols:

1 + - (

He decided that he'd try and arrange them on his fridge so that they gave the highest possible number.

Of course, it would be cheating if he were to simply combine digits to make larger numbers such as 111 - the largest individual number he'd use was one. He tried rotating a minus to look like a one, too, but that looked well dodgy so he decided against it.

After a week or so, he got bored of the arrangement of magnets on his fridge, so decided to take the equation down. Much to his dismay, a pair of the bracket magnets fell into his carrot dicer and were discombobulated beyond repair.

He presently got his kit out again and aimed to make an equation with the pieces he had left that'd yield the smallest possible positive result.

He wasn't the best at mental arithmetic, so rounded off the outcome to the latter equation to five decimal places, then got out a pen and paper and multiplied this approximation by the larger number he'd generated earlier.

What was the outcome to this little sum?

Please can you give me some hints on what to do & explain the use of the ^ symbol??

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