The Commonwealth Star on the Australian flag originally had six points.
The six points represented Australia’s six federating colonies: New South Wales, Queensland, South Australia, Tasmania, Victoria and Western Australia. The star was included in the design chosen after Australia’s federation in 1901, when those colonies became the original states of the Commonwealth of Australia.
The star was initially known as the Federation Star and appeared with six points on the first version of the flag. A seventh point was added in 1908, after the Territory of Papua had been incorporated into Australia’s political system. The extra point came to represent Australia’s territories and any future states, which is why the modern Commonwealth Star has seven points.
This question is easy to confuse with the five stars of the Southern Cross elsewhere on the flag. Those stars are separate symbols representing a prominent constellation visible in the Southern Hemisphere. The Commonwealth Star sits below the Union Jack, in the lower hoist quarter, and is specifically tied to federation and Australia’s political divisions.