This is one of the most awesome questions ever, because it offers us an amazing book even while asking for another. Like so:
My daughter is seven and a fairly strong reader for her age. Last week she found this book at the library and loved it. Today she asked me if we could find "more books like this."
By "like this," she she meant the form of the book rather than the subject matter. Check out the "see inside" pages on Amazon — each section gives you a set of unusual medical cures and wants you to guess which ones work.
Books she has liked reading on her own in the past few months are Babymouse (many times over), Magic Treehouse books (though not so much lately), and Nate the Great (which she just found at her summer day camp and picked up on her own). Books she's enjoyed hearing aloud lately: Tumtum and Nutmeg, Abel's Island, Charlie and the Chocolate Factory.
So … suggestions for books that contain quizzes or guessing games, ask questions, or otherwise ask the reader to solve a problem? The subject matter could be just about anything.
So if you do go check out the book, you will see that it is awesome. One, it is interesting. Two, it is gross. What could be better?
In my experience kids love books that ask them to participate in some way. There's You Be the Jury, which I think she would love. It asks kids to predict the verdicts (power!). But the best books of all in this line, to my way of thinking, are those tried-and-true old school classics. Yes, ladies and gentlemen, it's time to pay homage to one of the great ones:
I am sure you are all aware that the author of this series, the great Donald Sobol, died recently, and it called attention to these rightly venerated books. Because they are AWESOME. The girl is the muscle! Encyclopedia always gets the bad guy! You can reread them over and over with no ill effect!
I know that this parent has probably already thought of these, but I still had to throw it out there. And now it's time for the rest of you to weigh in: books with questions? What do you got?