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Lancashire Mathematics Challenge 2009 District finals

Lancashire Mathematics Challenge 2009 District finals. Around the World in 80 days. Switzerland. Swiss Railway. Switzerland is a very mountainous country and the railways are designed to cope with this terrain. Different systems are used to cope with different gradients.

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Lancashire Mathematics Challenge 2009 District finals

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  1. Lancashire Mathematics Challenge2009District finals Around the World in 80 days

  2. Switzerland

  3. Swiss Railway Switzerland is a very mountainous country and the railways are designed to cope with this terrain. Different systems are used to cope with different gradients. The distance up u divided by the distance across a is called theGRADIENT of the slope. u up a across

  4. Swiss Railway The steepest gradient an ordinary train can cope with is 0.09 In a funicularrailway the car is fixed to a cable which pulls it up the hill. The steepest funicular railway has a gradient of 0.89

  5. Swiss Railway Mountain railways use a rack and pinion system. A toothed wheel runs along a toothed rail. If a single car uses this method the gradient can go up to 0.5 If cars are joined together in a train the maximum gradient it can run on is 0.125

  6. Swiss Railway Phil needs your help! He has dropped the pictures of the railway bridges and cannot remember which is which! It would help if he knew which type of railway used each bridge. You have the pictures. Find the gradient of each railway, correct to two decimal places. Write down which type of railway would be suitable for each one.

  7. Audience Quiz Zurich pass Max gradient¼ Basle line Max gradient 7% Lucerne incline Max gradient 57% Geneva tunnel Max gradient ¾

  8. Egypt

  9. Ancient Egyptian Number System

  10. South Africa

  11. Diamond Mining in South Africa

  12. Audience Quiz This shape is often called a diamond but what is its mathematical name? This is your clue for number 5 in your crossword. Here are the other clues: 1 2 4 3

  13. Australia

  14. Sheep Farming in Australia

  15. Audience Quiz Ralph the ram has 20 ewes. When they lambed, ¾ of the ewes had twins and the rest had triplets. How many lambs did Ralph’s ewes have? Eunice, one of Ralph’s ewes, gave birth to triplets. The lambs weighed 5.5 pounds, 6 pounds and 7.2 pounds. What was the average weight of the lambs to the nearest tenth of a pound?

  16. Brazil

  17. Making Coffee in Brazil • To make Espresso coffee he needs to use 3 cups of water with 2 spoons of ground coffee. • To make Americano coffee he needs 5 cups of water for each 3 spoons of ground coffee. • For Brazilian coffee he needs 4 cups of water for every 3 spoons of ground coffee.

  18. Audience Quiz Espresso: 3 cups water to 2 spoons coffee Americano: 5 cups water to 3 spoons coffee Brazilian: 4 cups water to 3 spoons coffee • Phil gets the water in containers which hold 30 cups water. How many spoons of coffee should he add to each container to make: • Espresso coffee? • Americano coffee? • Brazilian coffee?

  19. Chorley

  20. Exchange rates: Switzerland 1 Swiss Franc = 60p Egypt 1 EGP = £0.1261 South Africa £1 = 14.55 ZAR Australia 1 AUD = £0.448 Brazil £1 = 3.33 BRL Phil Arrives Home

  21. Audience Quiz 1 SF = 60p 1 EGP = £0.1261 £1 = 14.55 ZAR 1 AUD = £0.448 £1 = 3.33 BRL While in each country Phil bought a lottery ticket hoping to win 1 million of each country’s currency. Winning in which country would give him the most money when he exchanged it for pounds sterling?

  22. Lancashire Mathematics Challenge2009District finals Around the World in 80 days

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