Gosh, how annoying for you to be given only part of the information on the IQ tests. Like dangling the proverbial carrot at you, then taking it away!
A friend with a son the same school as my DD2 also had tests done by the Ed Psych as her son was bright but seemed disturbed and was causing problems for other children.
His results had his IQ in the 130s but a 'functioning level' of just 2%, yes 2%! The mum was actually relieved because this result led to further tests and a diagnosis of Aspergers and ADHD, which explains such disparate IQ test results. She was relieved because she had felt no one believed her when she told people of his behaviour, such as running in front of cars and smearing poo on the bathroom walls (sorry, probably too much info!).
This result is obciously extreme but rather interesting I think.
My DDs did the CATs tests when they first started in year 7 and got the same results as they had done at the junior school. I think your DSs are in the private sector, so did their schools do the CATs tests or is this just a state school thing? (as a parent I hope such tests do continue as I think they help to catch any problems, even though the teachers want them stopped!)
Good luck to your two. IPP xx
P.S. As well as three year old boy, you're welcome to a ditzy 11 year old girl and a VERY hormonal 14 year old girl!