11plus

My daughter passed the Bucks 11+ this year with no tuition other than doing Bond books at home.

Her scores were consistently in the mid to high 120s before we started practicing. Your son’s spatial and non verbal scores look low and IMO these are the areas that are hardest to practice - you either get it or you don’t.

CAT scores are measures of potential; more for determining suitability for grammar, as opposed to whether they might pass. Sadly the chances of passing the 11plus, are often very much skewed by over eager tuition and preparation, which for a borderline child, can lead to a great sense of pressure and under-achievement at grammar. Purely because grammar schools don’t have any magic formula of success or extra great teaching to offer, they simply want the exam machines. The kids who learn it quickly and churn out good grades.
As for my experience; eldest had VR scores of mid 120s, lower NVR, averaged 122. We didn’t tutor, and she missed 11plus by one mark. However..she did very well in secondary, and is now at a good RG uni, having had the right measure of skills required to be organised and motivated towards doing well. My youngest has scored very very highly in 11plus, and had mostly maximum score CATS that reflected that.
My nephew was borderline CATS, average 116. Passed 11plus with tuition..did very averagely at grammar. Flunked A levels pretty badly too. So it was the wrong choice for him. Every case is different of course. Only you and the school, really know your child’s capabilities.

It’s not an exact science. Depends on preparation, coping with stress, speed and exam technique etc Grammar exams are also often about things you’ve learnt and not just ability. And yes, some grammars are much more selective than others.
I think he would have had a chance at some.