I've been mainly sticking to practicing this scale for a week or two now. For my whole life, whenever I sat at a piano, I would do a C major scale. I didn't know any others. I personally think that the C scale and key is a piano prison. Any advice I would give to beginners is that yes, by all means, have a go at the C major scale, but DON'T stick with it for too long. I would go straight to a key/scale that has at least two sharps in it. D or A major because they really give you a sense of what practicing in a different key is all about. In fact learning other keys is like learning a whole new instrument.
Anyway, I started the scale at a really low bpm (anything from 60-100 bpm). Abrsm syllabus guidelines are quavers, so when you see the speeds for whatever grade you are going for, you need to do two notes per beat. So when I say 60-100bpm, it means 30-50 bpm with two notes per beats. I just prefer hearing the metronome beat on every pulse so I just double the speed.
Something quite strange happened when I was doing the scale....