Would agree with Brycie and disagree with seeker that tutoring for the 11+ comprises 'nothing useful'.
I tutored my own dd and it was ioncredibly useful - probably the most fundamentally 'useful' education she will ever receive, bar basic learning to read and write, potty training etc. Most of my time was spent on covering maths topics that she would not cover at her state primary until several months after the test. This was not uniquely useful - she woud have done it anyway, just a few months later.
But what was incrediobly important was the work I did on improving her accuracy, introducing an essential element of self-doubt of one's own first conclusions, so that she developed skills at checking and proofreading, also demonstrating how to plan time management and a study programme effectively and painlessly, how to set study (and other) goals and work towards achieving them, rather than giving up at the first hurdle. Plus of course, how to sit exams and just accept that all you could do is your best on the day, and not to stress about it. So really basic, crucial study, exam and time management skills. But not things she had ever been taught at primary - she could stay top of the class effortlessly with no work so had never needed to actually bother to try to achieve her best. It took weeks to get through the arrogance of being a big fish in a very small pool - but it was and is vital that she learnt how to measure herself against her own abilities rather than always going for the easy option of the least work required. She has been much happier since - arrogance is not really a happy place to be - and needless to say, it did of course feed into her SATs scores and work since.