cycling routes around Sydney?

I'm in Sydney for a week and have two days to cycle before my conference starts. I have rented a good road bike. I'm bringing my pedals, shoes, and winter/fall gear (?). Now I need a route. I am good for about 100 km per day. Any suggestions?

I was looking in the Blue Mountains but there appears to be few "loops" and only major roads.

I also looked at the South Coast around Royal National Park.

Please help.

Thanks, Eric

MY suggestion would be to visit or contact the NSW RTA..They have cycle route maps available for free ...Bicycle paths have increase of late with the new infrastructure that has gone in around Sydney