I moved into my student house yesterday and I don't think the property is fitted with proper fire doors. One of the doors has a chunk taken out of door at the top meaning smoke could get through from a fire.
How do I identify a fire door or how do I get fire doors inspected professionally? I believe it is illegal if you are living in a house with multiple occupants.

Student living accommodation is a tricky one it may not be subject to any fire legislation and could fall under the description of domestic dwelling. I would contact the local Fire and Rescue Service and ask for an inspection as you are concerned about the fire safety of the premises, you could ask them to not to use you name in case the landlord identifies you. Check out http://www.firesafe.org.uk/uk-fire-rescue-services-details/

Speak to your Council Housing Officer as the premises are liable to be subject to the safety requirements of the Housing Act 2004 and they are the lead authority for enforcement.

Check out http://www.avonfire.gov.uk/all-areas/1547-landlord-sentenced-for-fire-safety-breaches this may make the landlord think twice.