T h e
S o l u t i o n s

  1. Making Cigarrettes
    He can make 5 with the 25 he has. When he's finished these five, he can make an extra with the five ends left.
    Problem

  2. Pouring
    Let's call the 5 pint jug, jug 1 and the 3 pint jug, jug 2. We have the results of each pour in the table below.
    Problem
Bottle Jug 1 Jug 2
800
350
323
602
152
143

  1. The goats
    One goat is borrowed from a neighbour. So that there are now 18 goats, the eldest gets 8,the second gets 6 and the youngest gets 3. The borrowed goat is then returned to its owner.
    Problem

  2. Decimal equivalent of 1
    Let 0.99999999999999 = x
    • 9.99999999999999 = 10x
    • 9 = 10x - x
    • 9 = 9x
    • 1 = x
    • so 0.9999999999999 = 1

    Problem

  3. Which path?
    You don't know who is who so you'll have to ask a question where they would both say the same thing. The question you should ask is: Which path would your brother say was the safe path?
    Problem

  4. Sweets
    Put one peardrop in the first jar and the rest mixed with the eclairs.
    This would give a probability of 1/2 � 1) + (1/2 � 9/19) = 28/38 of picking a pear drop.
    Problem

  5. Age guessing
    I'm 51
    Problem

  6. 31st December.
    Problem

  7. A cell.
    Problem

  8. Use simultaneous equations to solve this!
    1. 4p + 2c = 96 (pigs have 4 feet and chickens have 2.)
    2. c + p = 35
    • Multiply the second equation to get 2p + 2c = 70.
    • Subtract this from the first so that 2p = 26 so p = 13
    • Substitute this back in any equation, I've used the second so that c=22.
      Problem

  9. Investigate the pattern:
    • 10 = 5 � 2
    • 102 = 52 � 22
    • 103 = 53 � 23
    The solution to the initial problem should become obvious.
    Problem
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