Are you just having a whinge, NS, or looking for info?
I would say that the 11+ tests are totally different from SATs. Obviously there is a correlation of who does well on one will do well on the other, but it is not 100%. Good performance in the SATs tests can be a factor of the intensity of the preparation in Y6. For example, my DD's former primary had a record year in their SATs, because they upped the focus on them - prior to that, they pretty much ignored them until a week or two before. I wish they had ignored them, because I think DD was short-changed on the quality and depth of her education.
For 11+ tests, they are checking mainly reasoning skills. You can only practice up to a point (familiarisation is good, but beyond that it is diminishing returns).
This is not to say that your DD would not have done well in the 11+ - if she is predicted a high performance in SATs at this stage (before the intense preparation), she is clearly very bright. Why did you not put her in? Are you just outside the catchment area for Grammar schools, where you would be expected to go for comprehensive so 11+ not standard for everyone?
I know that you can do 12+ and 13+ for grammar schools, in recongition that places do come available (families move) and also that some children mature a bit later. If you are seriously interested, check out all your options.