I think Charles is correct, most chopping boards that I have come across are Polyethylene based. Many also no incorporate a range of anti-bacterial additives.
EC1935/2004 is the 'framework' food contact legislation. As they are plastic, they should comply with the more specific EU10/2011.If your local supplier is selling them as cutting boards for food, he is responsible for ensuring that they meet the requirements and he should also provide you with a Declaration of Compliance to EU10/2011. This may mean that he (or his supplier) has to undertake migration testing. The Declaration has a legally defined format and is not a simple one-liner. It is laid out in Annex iv of 10/2011.
They should also be made under GMP principles defined by EU2023/2006.
In terms of how you can check, it is not easy without this Declaration. It is possible that they have been stamped with the 'glass and fork' symbol but I have never seen this. It is fairly common for the statement to be made on accompanying paperwork or packaging but this has a habit of being lost over time.
My advice would be to ask them to provide a Declaration if they haven't done so. These boards are not cheap and I think it is not unreasonable to expect the supplier to provide what he is legally obliged to do.
Auditors frequently ask for this evidence.