I think those CAT scores are a guide to scores the schools might like to attract, but in reality even the best schools will have more of a range. So even a super selective will have people who on these kind of tests score in the range 115_25 Remember a score of 125 puts you in the top 10% of the population and although many in a super selective might be top 5%, not all will be.
Schools which are pretty selective (3 or 4 applications per place, with the majority actually wanting to go to that school rather than an alternative) will probably be taking some students who have scores from 110.
Schools would like everyone to have their highest scores in predictive ability tests, but won’t fill with everyone being that level, even when they are the very top schools. There is always a range.
So if a child hasn’t got 135+ I wouldn’t be put off applying to St Paul’s if they have 125+ as it’s not beyond possibility. However, if someone is scoring 105 it’s probably an indication that it’s not going to happen.
With the independents, they need to fill the majority if their places with people who can pay the full fees. In itself this limits the pool of applicants and bearing in mind the large numbers going to the super selective independents and very selective independents, they can’t all be geniuses! As Guildford High says in this website, they are looking for bright girls to apply....some will be super bright but many who get places will be ‘just standard bright’ _ they are regularly in the top 5 schools for results, but they don’t want people to be out off applying because they think only children who are geniuses go there. There are lots of pretty bright but normal girls.
With the super selective state schools, the pool of applicants is always so much bigger. 10 per place isn’t that unusual but is unusual for independents. It’s why lots who get places at top independents don’t also get packed at Tiffin or Olaves - they are simply competing against a much bigger pool and so it’s harder to get a place. It doesn’t make those schools better ....and often the results of state grammars aren’t as good as some Indeoendents with a wider range of ability, for all kinds of reasons.