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Mathematical Puzzles


Difficulty: MediumPuzzle 53

Puzzle IconLast week I travelled from London to Leeds, which is a distance of 174 miles.

I started at 9.15am and completed the journey with an average speed of 40 miles per hour.

On the way back, in the evening, I travelled exactly the same route, starting at 5.15pm. The traffic was light and I completed the journey with an average speed of 60 miles per hour.

What was the overall average speed for round trip?

The answer is not 50 mph.

[Ref: ZTAH] © Kevin Stone

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Difficulty: MediumPuzzle 54

Puzzle Icon4 shepherds were watching over their flocks and they were commenting on how many sheep they each had.

If Alex had three more sheep, then they'd have one less sheep than Blake.

Whereas Drew has the same number as the other three shepherds put together.

If Charlie had three less sheep, they'd have exactly treble the number of Alex.

If they were evenly distributed they'd each have eleven sheep.

How man sheep does Alex have?

[Ref: ZIZG] © Kevin Stone

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Difficulty: EasyPuzzle 55

Puzzle IconMove from letter to letter and collect the necessary letters for FIND (in any order).

How many different routes can you take if you always start with the central F and always move either horizontally or vertically?

      D
    N I D
  D N D I D
D I N F I I N
  I N D D I
    D I D
      N

[Ref: ZMHZ] © Kevin Stone

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Difficulty: MediumPuzzle 56

Last week, I travelled from London to Stoke.

On the first day I travelled one half of the distance.

On day two, I travelled one third of the remaining distance.

On day three, I travelled three quarters of the remaining distance.

Yesterday I travelled one half of the remaining distance.

I now have 5 miles left to travel.

How far is it from Stoke to London in total?

Puzzle Image

[Ref: ZRBH] © Kevin Stone

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