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LMC 2008 Lancashire Lancashire Mathematics Mathematics Challenge Challenge 2008 2008 District finals District finals

Lancashire Mathematics Challenge 2008 District finals

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Lancashire Mathematics Challenge 2008 District finals. Doctor Who and the problem of the famous mathematicians. 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. - PowerPoint PPT Presentation

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Page 1: Lancashire Mathematics Challenge 2008 District finals

LMC2008

Lancashire Lancashire Mathematics ChallengeMathematics Challenge

20082008

District finalsDistrict finals

Page 2: Lancashire Mathematics Challenge 2008 District finals

LMC2008

Doctor Who and the Doctor Who and the problem of the problem of the

famous famous mathematiciansmathematicians

Page 3: Lancashire Mathematics Challenge 2008 District finals

LMC2008

Page 4: Lancashire Mathematics Challenge 2008 District finals

LMC2008

Page 5: Lancashire Mathematics Challenge 2008 District finals

LMC2008

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!

Page 6: Lancashire Mathematics Challenge 2008 District finals

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Audience Quiz

Solve this Sodoku puzzle: 1 4

4 2

11

Page 7: Lancashire Mathematics Challenge 2008 District finals

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Page 8: Lancashire Mathematics Challenge 2008 District finals

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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.

Page 9: Lancashire Mathematics Challenge 2008 District finals

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Charles Dodgson found a way tocalculate which day of the week anydate, past or future, falls on. This soonbecame 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.

Page 10: Lancashire Mathematics Challenge 2008 District finals

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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 ETry it – or be EXTERMINATED!

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Page 12: Lancashire Mathematics Challenge 2008 District finals

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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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Page 14: Lancashire Mathematics Challenge 2008 District finals

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Al Khwarizim the father of Al Khwarizim the father of algebraalgebra

Muhammad ibn Musa al-KhwarizmiMuhammad ibn Musa al-Khwarizmiwas born sometime before 800 A.D.was born sometime before 800 A.D.in an area not far from Baghdad andin an area not far from Baghdad andlived at least until 847. He wrote alived at least until 847. He wrote abook called Al-jabr wa'l muqabalabook called Al-jabr wa'l muqabalafrom which our modern wordfrom which our modern word"algebra" comes. Al Khwarizim is"algebra" comes. Al Khwarizim issometimes called as the father ofsometimes called as the father ofalgebra.algebra.

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Audience QuizAudience 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!

Page 16: Lancashire Mathematics Challenge 2008 District finals

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Page 17: Lancashire Mathematics Challenge 2008 District finals

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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 IIHe 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

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Audience quiz The labels on the cases of our adventurersThe labels on the cases of our adventurers

are in code. Can you identify which labelare in code. Can you identify which label

belongs to each traveller?belongs to each traveller?

Simon

Tyler

Lewis

Carol

Dr Who

Euler

NDHJI

ZPGZM

OTGZM

YMRCJXVMJG

GZRDN

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Page 20: Lancashire Mathematics Challenge 2008 District finals

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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.

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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

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Audience quizThe 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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Page 24: Lancashire Mathematics Challenge 2008 District finals

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Lancashire Lancashire Mathematics ChallengeMathematics Challenge

20082008

District finalsDistrict finals

Have a safe journey homeHave a safe journey home