Norman Do More Unsolved Problems for Young and Old

Unsolved problems are the lifeblood of mathematics. Unfortunately, as the frontiers of our field are being pushed ever further, it is becoming more and more difficult for mathematicians from even mildly disparate research areas to find common ground. However, there is a wealth of elementary unsolved problems which any person with a working knowledge of mathematics should be able to understand and even begin to play around with. I will give concise expositions on four such problems with the hope that one of the readers of this article will perhaps lay claim to a solution further down the track. Remember that all maths problems were, at some stage, unsolved!