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Mathematical Puzzles 



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Puzzle 25 



How many squares of any size on this chessboard do not contain a rook?

Rooks On D6, F3

Puzzle Copyright © Kevin Stone

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Puzzle 26 



I recently travelled from my home town to a distant music concert, on a pedal tricycle, of all things! My wonderful, three-wheeled tricycle.

I knew that the epic 2,345 mile trip would wreak havoc on the tyres, but luckily I took along 4 spares!

Instead of waiting for any single tyre to fail, I decided that I would rotate the tyres evenly, making sure that by the end of the trip, all seven tyres had travelled exactly the same distance.

What was the distance that each tyre travelled?

Puzzle Copyright © Kevin Stone

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Puzzle 27 



Can you find a number such that…

…its double is fourteen more than its quarter?

Puzzle Copyright © Kevin Stone

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Puzzle 28 



I am compiling the new BrainBashers world almanac, and it now contains lots more pages.

I know that it takes 333 digits to print the page numbers in sequence.

How many numbered pages does the book have?
How many times does the number 3 appear?

Puzzle Copyright © Kevin Stone

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