If you take the practical tests on an A2 bike you will be restricted to riding a motorbike with less than 46 bhp but the L plates come off, you can carry a pillion passenger and you can use motorways. After 2 years with this licence you can take further practical tests to move up to a Category A unrestricted licence.f you take the practical tests on an A2 bike you will be restricted to riding a motorbike with less than 46 bhp but the L plates come off, you can carry a pillion passenger and you can use motorways. After 2 years with this licence you can take further practical tests to move up to a Category A unrestricted licence.