Just a word of warning, if car has no valid MoT and fails a test it cannot be driven away from test centre according to how I read this on Gov. Website :-
https://www.gov.uk/getting-an-mot/after-the-test
Driving a vehicle that’s failed
You can take your vehicle away if:
- your current MOT certificate is still valid
- no ‘dangerous’ problems were listed in the MOT
Otherwise, you’ll need to get it repaired before you can drive
That's why I try to get mine tested in the month before MoT is due