Honestly, that is understandable. Part of being 11 is getting to do more and more things that you just couldn't do before. But part of being 11 is having an insulated view of the world and the things available in it. Not knowing is perfectly natural.
But still ask because she might know have an idea. Still ask, and encourage her to speak up and that you'll give it a try if it is affordable (or whatever qualifiers you have). Still ask, and provide some varied suggestions or categories of things to do. Still ask and try to get preferences of what the kid is currently interested in. At minimum, you can probably be left with some dislikes and a few things that might be interesting.
But still ask because she might know have an idea. Still ask, and encourage her to speak up and that you'll give it a try if it is affordable (or whatever qualifiers you have). Still ask, and provide some varied suggestions or categories of things to do. Still ask and try to get preferences of what the kid is currently interested in. At minimum, you can probably be left with some dislikes and a few things that might be interesting.