The game of La Crosse, now known as the "National game" of the new dominion of Canada, is of Indian origin, and is the oldest and only legitimate American game of ball now in vogue.
Foot-ball as now constituted is not, and cannot be, a national game.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "national game" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.