"Grammars fairly local to us have maths and English as well as the reasoning tests at 11+
All that happens though is that people hire maths and English tutors in addition to the reasoning tutors. It certainly doesn't level the playing field at all."
I'm sorry but I have to disagree. If you have an 11+ exam comprising VR, English and Maths, then it does level the playing field a little, as opposed to a straight NVR/VR, where you could tutor pretty much anyone to do it adequately in a non-superselective area.
If you had a state-educated child who had no access to extra training in VR, but was naturally bright in Maths and English, of course doing a VR/English/Maths 11+ would level the playing field, as opposed to a VR/NVR test where they'd had no familiarisation.
You can tutor all you want for English and Maths but if they don't get the sophisticated inference in English, then they don't get it, simples. It's not really that much different to GCSE's where kids are taught/spoonfed and then presented with something to tackle in an exam where they'll hopefully be able to apply their knowledge and exam technique.
I want a tutor-proof 11+ where money and privilege and have mimimal influence on the selection process . You can't level the playing field perfectly when state schools aren't allowed, or simply don't have the time to tackle VR/NVR or any other of the demands of the 11+ exam, but private schools can do it. There's more issues at stake than merely looking at the subject areas covered and the format of the exam.
Dons tin hat.