I actually spoke to the admissions department of one of the London super-selectives about tutoring.
I was asking more about their 7+ exam rather than the 11+, but having checked with a friend who is a primary teacher, DD would not have covered some of the syllabus in Maths that was required in the exam by the exam date.
The admissions lady said that if the child was coming from a state primary then it was acceptable to tutor in the areas that they wouldn't have yet covered - that they made allowances for state school pupils with minor errors but if they didn't answer questions then no allowance could be made.
However, absolutely no tutoring on what to say at interview etc as it could be spotted a mile off and did the child a dis-service.
In regards to the discussions on getting bright children from more humble children into selective schools when up against the equally bright children who were being given extra help by parents/prep schools/tutoring etc, how would these children be identified?
Would an individual school be asked to nominate pupils (with all the 'but the HT just doesn't like little Johnny'); would only FSM pupils qualify - hence a lot of children falling through the gap again; should state primaries offer prep classes for potential grammar material pupils, should a child from a 'requires improvement' primary get more help than one from an 'outstanding' primary?
There is also a huge range in what primary schools achieve - we have DD's name down on the waiting-list for a primary that is in inner-city London, they have over 50% FSM, over 50% EAL plus high mobility and the majority of students are from ethnic backgrounds that are not known to put a high premium on education, yet 20% of their KS2 students get L6 in Maths. This is way more successful academically than a lot of primary schools in leafy suburbs with a more MC intake.