BrainBashers - Brain Teasers and Puzzles

Puzzle 377

I am compiling the BrainBashers world almanac and it now contains quite a few pages. But just how many?

I know that it takes 121 digits to print all of the page numbers in sequence.

So, how many numbered pages does the book have, and how many times does the number 9 appear?

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Puzzle 378

Place letters into the grid such that every row, column, and 2 x 2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.

Letters allowed: D O G D A Y S

Note: this puzzle is not interactive, and the squares cannot be clicked.

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Puzzle 379

How many grains of sand do you need …

… until you have a heap of sand?

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Puzzle 380

Below you will find 15 well-known six-letter words, with only their endings remaining.

Can you find the words?
---rix ---osy ---few ---oze ---uum ---wth ---nda ---nis ---tem ---pod ---reo ---hom ---gan ---amt ---gen

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