Maths Puzzle: Back to Black
Duration: 5 mins 47 secs
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Description: |
I have a board that uses the numbers 1 to 90. I fill the board with Othello piece, they are black on one side and white on the other. All the pieces start black side up. First I flip every second number, so 2 becomes white, and 4, 6, 8 and so on. Then I flip every third number, then every fourth number, until finally I flip every 90th number. Which numbers end up black side up and why?
Music by Ghostly Dust Machine http://freemusicarchive.org/music/Ghostly_Dust_Machine/Bad_Panda_79/Ode_To_A_Baby_Snowstorm |
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Created: | 2012-01-19 13:37 |
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Collection: | Quite Easily Done |
Publisher: | University of Cambridge |
Copyright: | Dr J.R. Grime |
Language: | eng (English) |
Keywords: | maths; math; mathematics; problem; puzzle; numbers; factors; divisors; |
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