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Mathematical Puzzles


Difficulty: MediumPuzzle 5

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 6

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 7

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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Difficulty: MediumPuzzle 8

Puzzle IconMy bath has two taps and a plug hole.

The cold tap on its own fills the bath in 18 minutes, the hot one in 15 minutes.

The plug hole can drain the bath in 10 minutes with the taps off.

How long will the bath take to fill if I leave both taps on with the plug left out?

[Ref: ZCSZ] Copyrighted

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