The law makes no mention as to how far you can go for an MOT but we would suggest the distance is kept as short as possible because even though you are exempt from having a valid MOT certificate in the circumstances described above, if you are stopped by the police you could still be prosecuted for any defective parts on your vehicle e.g. exhaust, brakes and tyres etc. If you call in at shops etc. on your way to the MOT, it may be held that you are using the vehicle for other purposes and the above exemption won't apply. The further you travel the more likelihood there is of your vehicle triggering an ANPR camera and you being stopped.