my dd4 is shaping up to be this way, only we are still at the imaginative play stage - I just had o put my foot down about needing a coffee before I do anything at 6 in the morning. Unfortunately the tv gets a workout in our house because of this trait, it's the only peace I get, and even then I have to constantly rewind bits I missed, discuss etc.
My only suggestion (born of NO experience of course) is to try 2 questions at a time instead of 10 then ramp up, ask her if she can see something that the younger kids need so that she gets a sense of why you might be busy. Does she have to do the workbooks at all? Maybe they just don't float her boat and she'd be more engaged with a computer program. Then you might have my problem where I have to book in time to use my computer!

If all else fails, maybe the work books can coincide with wine o'clock.