If the weather is nice, you have a bit of spare time and are able to walk a bit this is a nice way to spend half a day.
I went to "Arthurs seat" (up one of the very steep ways, down a normal way), made my way to "St. Margaret's Loch" and the ruins of "St. Andrews Chapel". All in all you will be rewarded with stunning views of the city and the forth of firth. I felt I spent my day well.
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