No, you do not need a full licence for a moped. For a 50cc Moped you can use a provisional licence as long as you are aged 16+, completed a CBT test, display L plates and have insurance. If you want to ride a moped with a 125cc engine you will need to be aged 17+, passed a CBT, test, L plates and have insurance. You must make sure you have the correct moped licence.