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Maths Puzzles


Difficulty: MediumPuzzle 1

How many gifts, in total, did I receive during the Twelve Days of Christmas - according to the song?

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[Ref: ZYPE]  



Difficulty: MediumPuzzle 2

In the following sum the digits 0 to 9 have all been used, O = Odd, E = Even, zero is even and the top row's digits add to 9. Can you determine each digit?

Puzzle Image

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[Ref: ZVZB] © Kevin Stone 



Difficulty: MediumPuzzle 3

The BrainBashers mechanical computer is a very sensitive device, in consists of four sequential cog wheels which are in constant mesh.

The largest cog has 63 teeth and the others have 42, 35 and 27 respectively.

By accident, Daniel started to rotate the largest cog.

How many revolutions must he rotate the largest cog make before the computer is back in its starting position with all of the cogs where they started?

Puzzle Cogs

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[Ref: ZTLC] © Kevin Stone 



Difficulty: MediumPuzzle 4

CalculatorThe local library decided to hand out some of its old books to its 1400 borrowers.

To each of the female borrowers they gave 6 books and to each male borrower they gave 4 books.

If only half of the females in town and three quarters of the males in town accepted the books, how many books were given away?

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[Ref: ZNXG] © Kevin Stone 


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[Added September 1997]

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