The way Formula 2 does it works well I think, albeit they have 2 sprints and a feature.
Friday qualifying sets your grid slot for both the first sprint and the feature race, the additional entertainment/interest coming from the fact that the first sprint (offering less points) reverses the grid order for the top 10.
So the sprint has a nice mixed up grid, as everyone still wants to qualify fastest for the main feature race.
They're happy to acknowledge that the sprints are simply additional races though, whereas F1 have for some reason decided they can't possibly call it a race in case it detracts from the feature race.
Friday qualifying sets your grid slot for both the first sprint and the feature race, the additional entertainment/interest coming from the fact that the first sprint (offering less points) reverses the grid order for the top 10.
So the sprint has a nice mixed up grid, as everyone still wants to qualify fastest for the main feature race.
They're happy to acknowledge that the sprints are simply additional races though, whereas F1 have for some reason decided they can't possibly call it a race in case it detracts from the feature race.