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Mathematical Puzzles


Difficulty: MediumPuzzle 1

Puzzle IconI want to travel 1,000 miles on an adult tricycle and I have two spare tyres.

However, I want to use all five tyres equally and have an equal mileage on each of the five tyres by the end of the trip.

Of course I can only use three tyres at a time, so I will have to change tyres during the trip.

At the end of the trip how many miles will each tyre have been used?

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[Ref: ZDFX]  


Difficulty: EasyPuzzle 2

Puzzle IconCan you find a number such that...

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

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[Ref: ZZMR] © Kevin Stone 


Difficulty: EasyPuzzle 3

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?

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[Ref: ZOIC] © Kevin Stone 


Difficulty: MediumPuzzle 4

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?

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[Ref: ZCSZ] Copyrighted 

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