Page works in conjunction with count. If you're not also using count, things won't work properly. If you specify a count of 10 and a page of 2, you'll get back the results numbered 11-20. Here is a typical example of grabbing the second page of a blog archive:
This is the most complicated modifier, but that isn't saying much. It simply allows you to choose which field you want to order your results by. The most common use of this is to get items that were published the most recently:
OrderBy takes a field as a value. If it has a '-' in front of it, it will order them in reverse. It will order things either numerically or alphabetically depending on what type the field is.
It should be noted that count is currently limited to a maximum of 100. If left blank, 20 items will be returned.
NOTE: Currently all permissions checks are run AFTER the initial count filter. This means it is possible that your results may contain a fewer number of items than expected. This is an issue that we're looking to correct.