• Now, you must be getting bored of doing those exercises which is why I've provided a page full of fun and games! Well, I think so anyway!

    The Problems

    1. Making Cigarrettes
      A tramp needs 5 cigarette ends to make a new one. He finds 25 of these, how many cigarettes can he make out of them?
      Solution

    2. Pouring
      A chef needs 4 pints of milk to make custard with. He has 8 pints of milk in the fridge but only has a 5 pints jug and a 3 pints jug. How can he obtain 4 pints of milk exactly using the jugs assuming that he can pour milk back into the bottle?
      Solution

    3. The goats
      A farmer dies and leaves his 17 goats to be shared between his three sons. His eldest son gets 4/9 of the goats. His second eldest gets 1/3 of them and the youngest gets 1/6 of them. How do they manage to share the 17 goats between them in this way and how many does each of them get?
      Solution

    4. Decimal equivalent of 1
      Are you happy with the fact that 1/3 = 0.33333333 recurring?
      Then by convention 3 � 1/3 = 3 � 0.33333333
      Therefore 1 = 0.9999999999. How can this be?
      Solution

    5. Which path?
      I'm lost in a forest when suddenly I stumble on the legendary good twin and evil twin gaurding two paths. One path leads to safety and the other danger. One twin always tells the truth, the other always lies but I can't tell which. I'm told that I can only ask one question to one twin. If I want to know which path is safe, what question must I ask?
      Solution

    6. Sweets
      Mrs Brown has 10 chocolate eclairs and 10 pear drops. Mr Brown prefers the pear drops. How should Mrs Brown arrange the sweets in two jars so that no matter which jar Mr Brown dips into, he'll have high chance on picking a pear drop?
      Solution

    7. Age guessing
      The day before yesterday, I was the same age as my next birthday's age's digits reversed and doubled. How old am I today?
      Solution

    8. As an extension to the previous question, if next year I am three years older than I was the day before, when is my birthday?
      Solution

    9. What multiplies after it divides?
      Solution

    10. Chickens and pigs are placed in the same field. There are 35 heads and 96 feet altogether between them. How many of each are there?
      Solution

    11. How can you write 1000 000 000 as a product of its two factors where neither of them have a 0?
      Solution

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