I think also those who have actually taken the test know that for example vocab is very important. This is difficult to cram for and is actually likely to be easy for you if you have been reading at and advanced level for some time, you have to be able to decipher meaning through context, your comprehension has to be good, that takes time.
On the maths front, yeah asian parents won’t tolerate poor maths skills, again because everyone should be able to do maths for day to day life let alone anything else. I’d be horrified if DD couldn’t do reasonable maths, it would be akin to not being able to dress herself.
Maths elements are probably easiest to teach and english elements harder. The idea that you are teaching to the test is a bit if an odd idea because so much of an 11+ is just figuring stuff out as you go along. I had never done algebra before when I sat mine, but there it was in the paper, managed to figure it out enough to pass.
I don’t think these are as cramable as people would lead you to think on here. Yeah you can teach enough for someone to have a decent go at it but you aren’t going to take someone who is below average intelligence and tutor them into a grammar (which is what I think some people would like to believe). I think kids who are very smart will get in fine without tuition. Granted I did mine years ago (a lot less competitive) but I got in and I’m no genius.
There was an 11+ tutor on ama (I think) who said she could tell which ones would pass and which wouldn’t which I think is probably true.