If you are under 21 years old then you will need to take an A2 test and ride on a restricted motorcycle (no larger than 33bhp) for 2 years after which you can choose the bike of your dreams-with no restriction at all. If you are 21 years old or older the n you have a choice as to how to get that full A licence.f you were 16 when you started riding a moped and now want to get on a bigger bike you will need to check your driving licence and make sure that it has Category A Provisional status. If so as long as your CBT is still valid you can ride any bike no larger than 125cc with L Plates but cannot carry a passenger.