On which types of roads are mopeds not allowed to travel?

Travelling on motorways (autopistas) and dual carriageways (autovías) is prohibited for bicycles, mopeds, vehicles for persons with reduced mobility, animal-drawn vehicles, personal mobility vehicles and any vehicle that cannot reach the minimum speed of 60 km/h, unless they have express authorisation to do so. Notwithstanding the provisions of the preceding paragraph, cyclists over 14 years of age may travel on the hard shoulders of dual carriageways (autovías), unless prohibited for justified road safety reasons by the corresponding signage. Such prohibition shall be complemented by a panel informing of the alternative route.