From that tier of colleges and any college with sub20% acceptance rates, it’s actually the most common situation. If you include colleges with 30-35% acceptance rates it’s common to get into a few. This is assuming you don’t have a hook (lower income URM, first gen student, athlete, legacy, development) and haven’t won the international math Olympiads.
Not only would you need the customary 2 affordable safeties (which would be colleges with acceptance rates 40%+, including probably your state flagship’s honors college unless your flagship is UVA or UCB/UCLA etc) but also 5 well-chosen matches (because odds are, you’ll be attending one of these.) Look into LACs, check out what the Midwest and South have to offer, run the NPC s and make sure your parents are on board with costs at all of them.
As was stated above, admission at these schools is both related and independent. So matches become super important. Good luck!