1. The word choice is wrong here. You can't use 'notice' in this way. Do you mean 'realise'? 2. This is OK. 3. The grammar is wrong here. The structure 'of we have' is not possible. You need an object noun and/or a gerund following the preposition 'of'. You could correct it to "Are you aware of us/our having our final exam...", but it seems unnecessarily wordy. Alternatively , you could just make 'exam' the subject: "Are you aware of our exam [coming up] next week?" NB The word 'coming' isn't quite right. People and letters come (so do seasons), but you wouldn't say that an exam is coming. I'd either omit 'coming' or add 'up' to make a phrasal verb: you can talk about events in a schedule 'coming up' as the date gets nearer.

Each of these statements has a slight correction to make. 1. Did you notice that we have the final exam coming next week? 2. Are you aware that we have the final exam coming up next week? 3 Are you aware of the final exam next week? Notice it means you saw it for yourself. If you noticed it, then you are aware as well because you noticed it. If you did not notice it, but then someone told you, you then become aware of it. To explain if you noticed it yourself, or if someone just told you, you change from "I noticed that..." to "I am aware that..." Aware of something, aware of a test next week, aware of the shining sun, aware of a fact that is present already. Aware that is used when a whole sentence or clause that stands on its own is used. Aware that (the sun is shining), aware of (the shining sun). Aware that (there is a test coming next week), aware of (a coming test next week). The shift from that to of is because the clause cannot stand on its own. We need to maintain the basic sentence structure of subject, verb and object, otherwise it cannot stand as a sentence. Aware that can be deleted, and the sentence still makes sense. However if you delete aware of, the sentence no longer makes sense. This is a tricky area to explain. I hope this helps

1. Do you notice that we have the final exam coming next week? Should be "Did you notice...." (Or "Do you know that..." not "Do you notice...") 2. Are you aware that we have the final exam coming next week? <-- Correct . 3 Are you aware [of] we have the final exam coming next week? <-- remove "of" (bad grammar) The word "coming" is not always necessary because we already know that "next week" is "coming". These are all correct: 1. Did you notice that we have the final exam next week? 1a. Did you know that we have the final exam next week? 2. Are you aware that we have the final exam next week? 3 Are you aware we have the final exam coming next week? (ok, but 3a "aware that..." is much better) 3a Are you aware that we have the final exam coming next week? 3b Are you aware of the final exam, coming next week? ("of the" is good here - not "of we have") 3c Are you aware of the final exam? Coming next week? (American style of speaking? Each sentence ends like a question?) "Are you aware" is not used much in casual speech. It's more of a formal/legal challenge (like in a court room question). "Do you notice" is used in teaching something factual to someone. "Did you notice" is more casual and friendly, like generally talking to a friend. "Did you know" is much more natural/friendly in everyday speech (instead of using "aware" and "notice") Sorry for the long answer! :-)