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Mathematical Puzzles


Difficulty: EasyPuzzle 17

Puzzle IconMany years ago, a cruise liner sank in the middle of the Atlantic Ocean. The survivors luckily landed on a remote desert island.

There was enough food for the 135 people to last four weeks.

Nine days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 36 people stranded on the island to now share the original rationed food.

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

[Ref: ZJLO] © Kevin Stone

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Difficulty: MediumPuzzle 18

Puzzle IconI 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?

[Ref: ZDFX] © Kevin Stone

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Difficulty: EasyPuzzle 19

Puzzle IconCan you find a number such that...

...its double is fourteen more than its quarter?

[Ref: ZZMR] © Kevin Stone

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Difficulty: EasyPuzzle 20

Puzzle IconExactly how many minutes is it before eight o'clock if...

...40 minutes ago, it was three times as many minutes past four o'clock?

[Ref: ZOIC] © Kevin Stone

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