Mount Majura Road is an interesting CAT 3 hill climb. Going up is a fitness challenge. Going down the Mineshaft Descent is a challenge for the nerves. If you like hills this is a good ride. Mount Majura is part of Canberra Nature Park.
Mount Majura is an underdeveloped cycling destination if it were not for Majura Pines at its base. On the other side, on the flat, is the Canberra Centenary Trail from the War Memorial to Mulligans Flat. There are good walking trails to the top of Mount Majura but the only ridable way up is the Mount Majura Road.
The Mineshaft Descent management trail provides a rapid descent back to Majura Pines. The Mineshaft Descent is straight but steep. Put the brakes on, point the bike straight down the hill and do not let go until you get to the bottom. You will need a mountain bike.
The route is available on Komoot with photos.
The gradient analysis is shown with VeloViewer with data from Strava. The ascent is 2.7km in length, a steady 10% and a climb of about 300m.