I think unless we know this child personally we can't tell what's going on. She could be immature, told to spy, has some mental issues, is just innocent, is rude etc we have no clue.

The solution is do not answer questions but simply tell the child that you can't answer such questions and she shouldn't be asking.

She is 11, not like you are forced to answer her questions. If I answer every question ( I mean personal ones) my students ask me I would lose my mind! And I see them all day every day.



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