Can a 6 year old ride child size motorbike on public road and without helmet in England?

No, in England it is illegal for a 6 year old to ride a child size motorbike on a public road without a helmet. Under the Road Traffic Act 1988, it is a legal requirement for all motorcyclists, regardless of age, to wear a helmet when riding on a public road. Failure to wear a helmet could result in a fine and penalty points on your license. In England, the minimum age to ride a motorbike without L-plates is 16.