2. LMC 2008 Lancashire Mathematics Challenge 2008 District finals

3. LMC 2008 Doctor Who and the problem of the famous mathematicians Doctor Who and the problem of the famous mathematicians

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6. LMC 2008 Carol’s Sodoku Problem Carol Vordeman needs help! Howard Gans, an American architect, has set her a Sodoku problem. He invented Sodoku in 1960, although he called it Number Place. Please help Carol, so that she can free herself and go with Doctor Who to help the other mathematicians!

7. LMC 2008 Audience Quiz Solve this Sodoku puzzle: 1 4 42 1

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9. LMC 2008 Charles Lutwidge Dodgson Born Charles Lutwidge Dodgson at Daresbury, Cheshire, England, in 1832, he was educated at Rugby and Oxford, took orders in 1861, and was a lecturer in mathematics at Christ Church College, Oxford, from 1855-81 when he resigned to devote his life to writing under his pseudonym, Lewis Carroll.

10. LMC 2008 Charles Dodgson found a way to calculate which day of the week any date, past or future, falls on. This soon became a famous algorithm. The Doctor has used the algorithm to find our what day of the week Rose Tyler was born on. He has left you his notes. PLEASE help Charles Dodgson find out what day of the week he was born on.

11. LMC 2008 Audience Quiz Try a different Charles Dodgson puzzle. By changing just ONE letter at a time change the word PINK into BLUE in nine moves. P I N K ………. ……… B L U E Try it – or be EXTERMINATED!

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13. LMC 2008 Leonhard Euler and the asteroids. It is 1727 and in Basle in Switzerland Leonhard Euler is pacing the floor. Once again he cannot sleep. Help the Doctor solve his problem. You too AUDIENCE!

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15. LMC 2008 Al Khwarizim the father of algebra Muhammad ibn Musa al-Khwarizmi was born sometime before 800 A.D. in an area not far from Baghdad and lived at least until 847. He wrote a book called Al-jabr wa'l muqabala from which our modern word "algebra" comes. Al Khwarizim is sometimes called as the father of algebra.

16. LMC 2008 Audience Quiz 7x + 10 = 10 x = 5 42 = 7x  14 x = 0 14 = 2x + 9 x = 8 3x  4 = 14 x = 2½ Match the ends and put these dominoes in a line Beware the Slitheens!

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18. LMC 2008 Simon Singh is a mathematician of our day. However, as a boy he was always interested in cracking codes – he loved to study the Enigma machine, the code machine from World War II He cannot crack this code, and he is getting more and more anxious. He needs to complete it soon as he has a new job with Captain Jack at Torchwood

19. LMC 2008 Audience quiz The labels on the cases of our adventurers are in code. Can you identify which label belongs to each traveller? Simon Tyler Lewis Carol Dr Who Euler NDHJI ZPGZM OTGZM YMRCJ XVMJG GZRDN

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21. LMC 2008 Tangrams Legend states that a servant of a Chinese emperor was carrying a ceramic tile, extremely expensive and extremely fragile. The servant tripped, shattering the tile.

22. LMC 2008 HELP!!! Simon, Rose, Carol and Captain Jack have been captured by the Daleks. Only YOU can release them by using the Tangram pieces to key in the code 1728

23. LMC 2008 Audience quiz The Doctor is not sure if he has the correct code! He knows the digits are 1728 but he is not sure of the order How many different arrangements can you find using the digits 1, 7, 2 and 8?

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25. LMC 2008 Lancashire Mathematics Challenge 2008 District finals Have a safe journey home