Regularly check the oil level on your moped and change the oil at frequent intervals.
Check the brakes individually. Their application must be firm, and must be fully applied without the lever or pedal reaching its full travel. They must also free off completely when the lever or pedal is released, and allow the wheels to turn freely without drag.
Check that all lights, brake lights and indicators work. Also check that the horn works.
If your bike chain looks dry apply a quick squirt of aerosol chain lube.
If the chain looks too slack adjust the tension as soon as possible.
Check your tyre pressure regularly. It is very important to maintain proper air pressure, since a moped only has two wheels and this can lead more easily to a loss of control of the vehicle. Always check the tyre pressure with the tyres cold, never after riding, as the pressure increases when tyres are hot.