I love this kind of gambling game here in Philippines. It is called "Ending" in our country and lucky 3. Same concepts as you stated.
Ending is played with sports event mainly in basketball you can choose in per quarter or for the ending score. Where in lucky 3, the winner is based on lotto rolls, get 3 numbers and you win a certain amount.

Nitrogensports offer "Ending" game.
About for strategy, for me I preffer placing multiple bets in both games. Since there is a huge multiplier it is worth the risk for me and minimum bets aren't that high too.