I have never really bothered to find out how the F1 scoring goes. I now know but still can't be arsed by the "sport".
Points are awarded as follows: 1st place - 25 points; 2nd -18; 3rd - 15; 4th -12; 5th - 10; 6th - 8; 7th - 6; 8th - 4; 9th - 2; 10th - 1. If drivers are tied on points, positions are decided on results countback. Wins are compared, and the driver with most wins is classified ahead. If wins are equal, second places are looked at, and so on.