Played outdoor, between two teams who face each other on the opposite sides of a small playing field. In the middle there is a stick stuck into the ground.
The players are assigned various numbers. In each round a moderator announces a predicate such as "even numbers" or "factors of three primes" or "sum of digits is a power of two" etc.
The players who satisfy the predicate are allowed onto the field and their goal is to get the stick and bring it to their side. If a player mistakenly steps into the field they are out of the game. Grabbing and pulling other players while battling for the stick is fine.
The last time this was played it rained a bit and the terrain was muddy and slippery and also the game was probably needlessly violent. Too many people didn't enjoy it and we've decided to retire it.
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While I'm at it, the third most controversial game was a game where teams had to complete various tasks in and around the village after the sunset, find some objects, etc. We always have at least one such game and it is usually one of a kind, played just that one time.
This time there was a special twist. Unknown to the rest of the players, each team had a traitor whose goal was to hinder the progress of their team as much as possible. The traitor whose team finished in the last place was the actual winner of the game.
The activity was not scored, but the players were led to believe it is going to be scored.
When we played it some teams had conflicts and it sowed a lot of distrust and paranoia that spilled into the next day's games as well. Also the players who gave the game a lot of effort were angry that it is not scored in the end. It was the opposite of a team building activity so we never explored it further.
Although I have to say, I'm still intrigued by the concept and would like to try it in some other form one day again.
- https://boardgamegeek.com/boardgame/37111/battlestar-galacti...
- https://boardgamegeek.com/boardgame/9220/saboteur
There are also some D&D campaigns that work in the same way (and unlike in the board games the heroes don't know that there might be traitors among them).