Mope is a small motorcycle
Moped, you mean?
Oh yes my bad. Moped has generally less stringent licensing requirement than motorcycles
Hmm I've never heard that before, interesting.
Moped is driven by both an engine and bicycle pedals
Oh really? I had no idea! 
 Common usage and in many jurisdictions the term "moped" is used for similar vehicles including a scooter.
So what are these used for compared to motorcycles?
directly between the saddle and the head tube. Some resemble motorized bicycles. Most are similar to a regular motorcycle but with pedals and a crankset that may be used with or instead of motor drive. Although mopeds usually have two wheels, some jurisdictions classify low-powered three- or (rarely) four-wheeled vehicles as a moped.
In some countries a moped can be any motorcycle with an engine capacity below 50cc.
Etymology.
The word "moped" was coined by the Swedish journalist Harald Nielsen in 1952
Moped
A moped ( ) is a type of small motorcycle with bicycle pedals, generally having a less stringent licensing requirement than full motorcycles or automobiles. Mopeds typically travel only a bit faster than bicycles on public roads, and possess both a motorcycle engine and pedals for propulsion. Mopeds are distinguished from scooters in that latter tends to be more powerful and subject to more regulation.
Some mopeds have a step-through frame design, while others have motorcycle frame designs, including a backbone and a raised fuel tank, mounted