This is known as o 'clock. When the minute hand points to 6, it is half past the hour. On this clock, the minute hand points to 6 so it is half past. The hour hand points halfway between 12 and 1 ...

You must rise at half-past six and wash and dress in your full morning livery. You must wake the Butler at seven o'clock in the morning by bringing him a cup of tea and warm water to wash with.