Il compito va finito prima di dormire.

No. Here va is from andare, but it does not mean physical movement.

In this pattern, andare + past participle means something like:

• needs to be ...
• should be ...
• must be ... (depending on context)

So:

• Il compito va finito = The homework/the assignment needs to be finished

This is a very common Italian structure.

Va finito means needs to be finished or should be finished.

It is made of:

• va = third person singular of andare
• finito = past participle of finire

Together, they form a kind of passive idea with necessity:

• Il lavoro va fatto = The work needs to be done
• La porta va chiusa = The door should be closed
• I documenti vanno firmati = The documents need to be signed

So va finito is not just describing a state; it expresses obligation or necessity.

They are very close in meaning, but there is a small difference in tone.

• Il compito va finito sounds a bit more impersonal and idiomatic: The homework needs to be finished
• Il compito deve essere finito is more direct and explicit: The homework must be finished

Very roughly:

• andare + past participle = often softer, more general, sometimes more formal or written
• dovere + essere + past participle = more direct obligation

In many everyday contexts, either one could work.

Because finito agrees with il compito.

Il compito is:

• masculine
• singular

So the past participle must also be:

• masculine
• singular → finito

Compare:

• Il compito va finito
• La lettera va finita
• I compiti vanno finiti
• Le lettere vanno finite

This agreement is very important in this structure.

After prima di, Italian normally uses an infinitive when the subject is the same.

So:

• prima di dormire = before sleeping / before going to bed

This is similar to:

• prima di mangiare = before eating
• prima di uscire = before going out

If the subject changes, Italian usually uses prima che + a verb in the subjunctive instead:

• Finisci il compito prima che io arrivi = Finish the homework before I arrive

But in your sentence, the person who has to finish the homework is also the one who will sleep, so the infinitive dormire is used.

Because dormire is an infinitive, and Italian often leaves the subject unstated when it is understood from context.

In prima di dormire, the meaning is basically:

• before sleeping
• before you sleep
• before one goes to sleep

Italian does this very naturally with infinitives. English often does something similar too:

• Before leaving, call me
• After eating, we went out

So the subject is understood, not missing.

Literally, dormire means to sleep.

But in a sentence like this, prima di dormire is often understood more naturally as:

• before going to sleep
• before bed

So depending on context, it can sound a bit broader than the strictly literal before sleeping.

If you wanted to be more explicit, you could also say:

• prima di andare a dormire = before going to bed / before going to sleep

But prima di dormire is completely normal.

Compito can mean:

• homework
• assignment
• task

In school contexts, il compito often means the assignment or the homework.

Be aware that i compiti is very commonly used for homework in general:

• Devo fare i compiti = I have to do my homework

So il compito may sound like one specific piece of work, while i compiti often refers to homework as a whole.

Italian uses articles more often than English.

So even where English might say simply homework, Italian often says:

• il compito
• i compiti

The article helps make the noun sound natural in Italian. In this sentence, il compito suggests a specific assignment or piece of homework that both speaker and listener understand.

Yes. Some common alternatives are:

• Il compito deve essere finito prima di dormire.
• Bisogna finire il compito prima di dormire.
• Devi finire il compito prima di dormire.
  if you want to address you directly

These all express similar ideas, but the tone changes:

• va finito = impersonal, neat, idiomatic
• deve essere finito = more explicit
• bisogna finire = general it is necessary to finish
• devi finire = directly telling someone you must finish

It is basically neutral.

Il compito va finito prima di dormire sounds natural and correct, and it can appear in both spoken and written Italian. It is a little less direct than telling someone:

• Devi finire il compito prima di dormire

So it may feel slightly more impersonal, but not especially formal.