The Parliamentary Oath is taken by all MPs.
Are any other oaths taken by MPs?
Is there a written contract that they must sign: for example to commit to represent their constituents?
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Ahead of the 2010 election, Parliament published a New Members' Guidebook which aims to give new MPs an idea of what would be required of them. The only thing that it says is legally required of all MPs, before they can take their seat or draw a salary, is the oath or affirmation that is taken at the start of each Parliament.
There are other items that new MPs must address when they enter Parliament. The one thing that is likely applicable to most (if not all) members, is that they employ any staff that they may require in both their Westminster and constituency offices, so they will need to sign relevant employment contracts with those members of staff.
Also, members are required, where applicable, to register any potential outside interests on the Register of Members’ Financial Interests within a month of taking their seats.