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Mathematical Puzzles


Difficulty: MediumPuzzle 49

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 50

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

If Alan had three more sheep, then he'd have one less sheep than Brian.

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

If Charles had three less sheep, he'd have exactly treble the number of Alan.

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

How man sheep does Alan have?

[Ref: ZIZG] © Kevin Stone

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Difficulty: EasyPuzzle 51

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: EasyPuzzle 52

Puzzle IconMy bath has two taps and a plug hole - and a leak!

The cold tap on its own fills the bath in 20 minutes, the hot one in 30 minutes.

The plug hole can drain the bath in 16 minutes with the taps off.

The leak would empty a full bath in 2 hours.

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

[Ref: ZVUO] Copyrighted

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