>> What, as opposed to "what is the unladen velocity of a swallow?"? 0;-)
> 
> I'd say about 30mph because when driving at that speed sometimes birds 
> appear to be going about the same speed :-)

Heh. I don't think you can try that on horseback. (Although after 
several months I have yet to discover what the typical speed of a horse 
actually is.)

> Estimate the mass of air in this room.

3 grams?

> Would birds be hotter or colder with fur on their legs?

Presumably this varies depending on the external temperature?

> Draw x^infinity + y^infinity = 1.

            __ __               __ __
           |__|__|             |__|__|

    \    /        |     \    /                  /|
     \  /         |      \  /        --------    |
      \/       ---+---    \/                     |
      /\          |       /          --------    |
     /  \         |      /                       |
    /    \              /                      --+--


...oh, wait, maybe you meant the *graph* of this?

> Prove which is bigger, e^pi or pi^e

Hmm. Well two cubed is 8, while three squared is 9, so I'm going to go 
with pi^e being larger. Presumably "proving" this would simply involve 
slightly more arithmetic. :-P

> But the best one was at my university interview, the guy had given me 
> some quite tricky geometry/trig problem to solve and I think I almost 
> had the answer, but the equation was a huge mess and I was dreading to 
> try and solve it for x (or whatever, it had squares and cubes all over 
> the place).  But then at that point he says "great, you seem to have the 
> answer if you just tidy it up a bit, let's move on".  Was the best I 
> could have hoped for!

Heh, neat.

I remember spending about a week trying to figure out how Euler's 
relation allows me to compute the complex exponent of a complex 
quantity. I don't know why it took me so long; it's really quite simple 
when you look at it. I think I just confused myself too much to see it...

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