The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21....
How many Fibonacci sequences can you find containing the number 196
as one of the terms?
A hallway floor is tiled and each tile is one foot square. Given
that the number of tiles around the perimeter is EXACTLY half the
total number of tiles, find the possible dimensions of the hallway.
When asked how old she was, the teacher replied: My age in years is
not prime but odd and when reversed and added to my age you have a
This problem is taken from the UKMT Mathematical Challenges.