Finally worked this out. Could not understand why I could not shuffle a playlist on my iPad mini. This is how to do it. When playing a track from a playlist tap on the double arrow next to the small album art work, this will give you a full screen artwork. Just above the pause button there are two icons one is a shuffle icon (it is hard to see as I was trying to shuffle tracks when I was outside and could not see the icon due to sunlight). Tap on it and it lights up and then tracks shuffle from a playlist. Happy days no more listending to playlists in alphabetical order.
@musicnerd - It will shuffle the playlist if the users client already has shuffle enabled. I'm with @Joe on this one, I don't really want playlist links to be able to change my settings, however, if you want to suggest it as a change head over to the Ideas Exchange and post it there for review.