This reminds me of several conversations I've had with my own kids! You say she loves to "play dumb". What if you explain that when she plays dumb the tutor thinks she needs this type of assignment.

My mantra for my kids is "show what you know". If an assignment is "boring" or too easy I encourage them to finish it as quickly and accurately as they can because this is the only way the teacher will recognize mastery. DS, especially, will balk at doing boring stuff even if it would only take him 30 secs.

Cathy