I have an MSc a BA and a BSc. I used to work in forensic sciences. I've just moved to London and want to get into management consulting. Due to the competition I'm finding it difficult to even get interviews for grad schemes due to my lack of industry experience. Does anyone have any advice on how to break into the field? Where does a first class MSc fit into the picture?

if you want to avoid graduate schemes the only alternative to bringing consulting experience is a background from the industry. What can also open doors for you is recruitment agencies. they play a significant role in the UK, and will also coach you through your CV writing and interview preparation.