Saturday, May 15, 2010

A hungry worm

There is a really nice math encycolpedia in the library with only 4 volumes and 400 pages each. A hungry worm makes a tiny tunnel from the first page of the first volume to the last page of the last volume. The librarian says to the math teacher:
  • A worm has pierced 1.600 pages!
  • Oh! No friend! Not that many! -answers the teacher calculating the result-
  • Really? so how many pages has the worm pierced?
Can you help the librarian to get the answer?

Translated and adapted from the book "El País de las mates 1" by Miquel Capó

EDITADO: Here is an image that can help you to solve this question:


  1. I don't now...It's true,I don't now!!

  2. You will get a hint soon, but keep on thinking!!

  3. I have come to the conclusion that the librarian will not have counted the front pages that would be approximately 8 and always estan the first one and the last page. Then they would be approximately 1616 pages.

  4. I'm sorry, but this is not the answer.

    HINT: You must think aobut the way you place the books on the bookshelf.

  5. Yes, I think like Javi. Because if we count the front and the final there are 1608.

  6. You just have to think where is the first page of the first volume, and also the last page of the last volume. You have to count the covers also. Keep trying!!

  7. The first volume is on the left, and the last one is on the right.

  8. ...and the answer is........


    Thanks for trying!!


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