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Mathematical Puzzles


Difficulty: EasyPuzzle 1

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?

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[Ref: ZJLO] © Kevin Stone 


Difficulty: MediumPuzzle 2

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 3

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 4

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 

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