Brain Teasers 15-4

Students would delight in calling the first 3 problems ‘trick problems’, but they’re not.  They just need some careful thinking and/or careful reading.  So HAVE FUN . . . but don’t be too hasty :-).
1.  Several years ago, I drove a nail into a tree exactly five feet above the ground.  The tree grows at a rate of one half-foot per year.  Last year, 11 years later, I returned and saw the tree. How far above the ground was the nail?
2.  The volumes of Gibbon’s Decline and Fall of the Roman Empire stand side by side on a bookshelf (Vol I to the left of Vol II, etc).  A bookworm starts at page 1 of Volume I and bores his way in a straight line to the last page of Volume II.  If each cover is 1/8 inch thick, and each book with the covers is 2 inches thick, how far did the book worm travel?
3.  A bear left its den and walked straight south for 1 mile.  Then it turned left (right angle) and walked another mile.  Finally it turned left again, and walked one more mile – arriving right back at its den!  What color was the bear – and why?


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Reminder:  Deadline for submissions (at least for recognition next week) is noon on Thursday 2/26.  

6 thoughts on “Brain Teasers 15-4

  1. The nail is still 5 feet from the ground. The tree grows from the top.
    The worm traveled 3 3/4 inches, he didn’t go through the front and back covers – 1/8 inch each.
    A black bear (maybe) – they have dens and hibernate, I don’t think the others do.

  2. Question #1–nail is still five feet above ground level
    Question #2–3.75 inches
    Question #3–white (polar bear at north pole)

  3. Hint: I wonder what happens to the fence when people nail a fence to a live tree rather than try to use a fence post. (People do this all the time!)
    Also, I like using “east and north” rather than turning 90 degrees in the bear problem (maybe just a preference for visualizing what east means on the surface of a sphere or a smooth slightly flattened sphere)

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