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Mathematical Puzzles


Difficulty: MediumPuzzle 37

Puzzle IconI 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 and how many times does the number 3 appear?

[Ref: ZNWV] © Kevin Stone

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Difficulty: EasyPuzzle 38

Puzzle IconMany years ago, a cruise liner sank in the middle of the Pacific Ocean.

The survivors luckily landed on a remote desert island.

There was enough food for the 220 people to last three weeks.

Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food.

The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?

[Ref: ZNSV] © Kevin Stone

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Difficulty: EasyPuzzle 39

Puzzle IconA numismatist decides to divide his coin collection between his children.

The eldest gets 1/2 of the collection, the next gets 1/4, the next gets 1/5, and the youngest gets the remaining 49 coins.

How many coins are in the collection?

[Ref: ZXNW] © Kevin Stone

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Difficulty: MediumPuzzle 40

Puzzle IconA local fisherman caught a large trawler load of haddock.

He decided to donate some of his fish to the local community, 1,672 people in all.

To each person over 50 he gave 16 fish and to each person under 50 he gave 96 fish.

Only 3/4 of the over 50s collected their haddock and only 1/8 of the under 50s collected their fish.

How many fish did the fisherman distribute it total?

[Ref: ZIAG] © Kevin Stone

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