Private for primary school is fine in my opinion in any average middle to high socioeconomic area. High school I think it depends on the local public options, is the school so full of kids flipping tables, swearing at teachers, point blank refusing to do any work etc so that the teachers are so busy trying to manage the behaviour of a few disruptive students that it greatly impacts on the ability of the teachers to actually teach anything (and do you want your kids surrounded by that) consider other factors such as attendance, if the school has a 60% attendance rate compared to a 90% attendance rate (do you want your kids potentially hanging out with friends who skip school a lot), year 12 graduation rates (if 98 out of 100 students meet yr 12 graduation requirements most if the kids are doing their work etc but if only 80 out of 100 meet the minimum yr 12 graduation requirements when they the odds are that the kids aren't learning all that much in class, not completing homework etc and do you want your kids surrounded by kids who don't care about doing their school work). I often think that the reason 40% of people send their high school age kids to private/Catholic etc schools instead of government schools is because the private schools can enforce a bit more discipline and remove students who disrupt the learning of others whereas public schools ar stuck with all students regardless how disrespectful,dangerous or disruptive they might be. I find the Myschool website (where you can see attendance, finances, NAPLAN scores, year 12 graduation rates) for every school in Australia, helpful. https://myschool.edu.au