1. The Puzzle:

Given only one of each letter in the alphabet, what are the smallest and largest numbers that you could write down?

Our Solution:

Using only one of each letter in the alphabet, you can spell:

ZERO or NOUGHTMINUS FORTY (allowing negative numbers)FIVE THOUSAND

These are the smallest and largest possible numbers.

2. The Puzzle:

Spaghetti is famous for the way it all gets tangled up on the plate. Those of you who think they know their alphabet are bound to get all tangled up with this puzzle too, unless you read it and think about it very carefully!

What letter of the alphabet is the one which comes eight letters before the letter which comes five letters after the fourth appearance of the first letter to occur four times in this sentence?

Our Solution:

"r"

You get this by working backwards through the puzzle: the first letter to occur four times is t: WhaT leTTer of T.... 

Five letters after the fourth "t" is the letter "p", and eight letters before that is "r".

3. The Puzzle:

Hungry Horace was looking through the family photograph album, which has a photo of each of his parent, each of his grandparents, all the way up to each of his great-great-great-grandparents. 

How many photos is that?

Our Solution:

2 parents4 grandparents8 great-grandparents16 great-great-grandparents32 great-great-great-grandparents

2 + 4 + 8 + 16 + 32 = 62 photos in all.

4. The Puzzle:

Six wolves catch six lambs in six minutes.

How many wolves will be needed to catch sixty lambs in sixty minutes?

No, the answer is not sixty. Try again!

Our Solution:

I should also have said that the answer was not 10 either! That is a popular answer, but I'm afraid it is not correct. The right answer was SIX WOLVES. 

Let's see why:

6 wolves catch 6 lambs in 6 minutes. Multiply by 10:The same 6 wolves catch 60 lambs in 60 minutes.

(Give them 10 times as long and they'll catch 10 times as many lambs.)

Another way of seeing the answer is to note that each wolf catches 1 lamb in six minutes. In 60 minutes, therefore, each wolf will catch 10 lambs (ten times as many). With 6 wolves, six times as many lambs will be caught.