To open the door, click behind the flowerpot's base. You'll get a rock, which you drag to the mirror and let go of. The mirror breaks, and inside are shelves which contain a key and a message. Use the key on the lock, then read the message. (Tells you to use Reparo to fix the mirror). Once fixed, click on the open door in the mirror and the big door will open. Inside is her office, and on the desk is a grad cap with tassle. Click and drag the tassle to the 12 o'clock position, and the test will appear. It's surprisingly difficult- I have no idea how I did but was given a code to check back later with).