One Idea For Math Game

One idea that came to mind when thinking about our game was, what will the people who are out do. Somehow everybody has to be involved no matter how long we play or who loses, but of course people have to go out, its in the nature of the game. So I though of a think called second chance. Once a player has come to the lowest point he can get he can choose a hard card (only) and he can go all in or choose to stay out, it all depends on his choice. If the player gets the answer right he gets 1 of everything. By this I mean population (people) houses, and resources putting him back in the game. However if he messes the question up he loses everything and is out of the game. I also just thought of a card where a player (if he gets it incorrect) must lend 2% of his population to another player. These aren't all the way thought out, but would certainly make the game better (in my opinion)