I am currently tutoring (for want of a better word) a child who's just left y5 in English for his 11+ exams. There are no tutors in this area as there aren't many (any?) grammar schools here, just the local independent school which gives grants based on an 11+ style exam.
I say I tutor him, but really I've just gone through Bond papers with him and comprehension papers, helping with interpreting the questions and highlighting what kind of answers they're looking for in these things.
The boy I'm helping is really, really bright, and a real grafter too, enthusiastic, resourceful, etc, etc. But English is his second language, and they rarely speak it at home, so he struggles with comprehension. He has also had little exposure to story telling in English, which again shows in his writing and comprehension work.
We've been studying around this area for 6 months now and he is much, much better than he was, but he still stumbles on word definitions on occasion and on the 'reading between the lines' type questions.
I do this on a voluntary basis and I still worry that he may not get through, though his scores on the Bond papers have generally been quite good. I could never be a paid tutor as I'd find the chance of failure quite hard to deal with. I do wonder if the second language issue is a common one in 11+ scenarios???