April Mindbenders

How Many Pieces?

Take a piece of A4 paper.  Fold it three times.  The idea is to produce the maximum possible number of pieces when the folded paper is cut along a straight line.

What is this maximum?  How should you fold and cut the paper to achieve it?

Answer

How Many Folds?

How many times can a piece of paper be folded in half?

Many people find that, even if starting with a large piece of paper, they can only manage five or six times before the paper becomes too stiff to fold any more.

However, there is a simple technique by which it is possible to fold any piece of paper in half ten times.  How is it done?

Answer

Continue the Sequences

  1. 1189, 841, 594, 420, 297, 210, ?
  2. 4, 9, 25, 49, 121, ?
  3. 3, 14, 39, 84, ?
  4. 1, 2, 4, 8, 16, 77, 154, 605, ?
  5. 3, 3, 5, 4, 4, 3, 5, 5, ?

Answers

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