DD11 does the homework. Never studies (and somehow gets over 100 for some classes? How does that work?).
So, practically speaking, if a child is already at the top, what can you really do?
My 8 year old is accelerated 2-3 years across the board. He has never studied for tests and always finishes homework in under 20 minutes, scores greater than 100% in tests (he attempts bonus questions because he has time to spare in the tests and gets those correct as well, hence, 120% in math tests etc!). We don't want radical acceleration and going to middle school early, so we "capped off" acceleration at that level after discussions with the school psych and the administrators.
We are not looking for school to be a place where all of my child's learning needs are met - for a PG kid, it is impossible in a group setting. What we ensure is that the child is adequately challenged all the time to keep boredom at bay and there is enough pressure to produce output so that a good work ethic is developed (tests, papers to write, projects to work on etc).
My child's school does a lot of projects for history, science, art, culture and language arts which are challenging and interesting for my child. And they do fun math contests that are interesting to them. They are allowed to research their topics of interest in the library and create power point presentation for presenting to the classmates. All of these activities are not "hard", but requires a lot of research, thinking, coming up with ideas, writing creatively etc. That is what we try to use the school for. For e.g. they visited an aquarium and then did an art project on a marine animal and a science project where they researched a marine mammal of their choice and created a presentation for the class. These open ended projects are what interest my son in school, not the content in their textbooks which are very easy and simple for him.
So, if your DD11 can be assigned open ended projects like this by the AIG teacher, that can set her up to research, learn, create and even develop her own passions.
ETA: we afterschool in his areas of strength where he can go at his pace.