Behold, I stand at the door, and knock: if any man hear my voice, and open the door, I will come in to him, and will sup with him, and he with me.
When I pray, I either thank Heavenly Father or I ask Him for something, but I have never really "answered" Him when He asks me a question. Does He even ask me questions that I'm too distracted to answer?
Think of Him standing at your door just knocking. He has the power to just enter but He won't, until He's invited. So, for me, He's asking questions of me that, most of the time, I'm too distracted to answer, or open the door.
All throughout the New Testament, the pages are filled with Jesus petitioning His audience. I'm sure there was a lot of asking and answering that isn't necessarily recorded in those pages too. But He didn't just sit there answering questions or petitions of those that flocked around Him.
Point is, since Jesus and the Father are one in will and mind, it is logical to think that Heavenly Father also asks questions of us. Even though He already knows the answer, He wants a dialog with us. He wants to know how we think we are feeling and doing.
Prayer is a two-way communication.