HomicidalPJC (great name) we found one through word of mouth. dd's friend had a bit of maths tutoring, dd heard her friend enjoying it, and actually asked to go....
I would never, ever, ask my child to spend an hour learning with someone who makes her feel bored, less competent, or miserable - let alone an hour a week for a term. But I know people whose kids have been shouted at, made to feel inadequate, etc etc by so called tutors - all in the name of getting into their parent's choice of school. Mostly out of fear.
As dd has a good relationship with her ex-tutor already, we'll be able to ask said tutor to do a bit of verbal reasoning with her, for confidence's sake, and to cover the maths that she won't have covered at school. No more. And we're only looking at schools that give interview at least as much weight as tests.
Thankfully, there are some tutors out there who love kids, focus on enjoyment of learning, and know how to raise confidence 