This is an activity I use when reviewing for tests. I created two blank BINGO cards with the possible answers along the edge. Students then fill in (with ink) the answers into the two blank cards and we start. I have them play with both cards simultaneously and will award bonus points based on their bingo order (1st round, 2nd round, etc). I also suggest setting a maximum number of points possible to achieve.
To keep everyone active, I will put several problems on the board at once (about 4) and then keep adding problems until someone calls out "BINGO!" After checking the card for accuracy, we then review the correct answers and continue. Also, I award points per round, not the fastest. For example, if I put three problems on the board several students can receive that round's bonus points (this is to help reward accuracy and not speed).
I've also created a template for the questions you will ask throughout the game. This helps if you have multiple classes. You need only print out several pages of questions and then use a highlighter to mark the questions you've asked.
Finally, all Bonus Bingo points are contingent on completing the review homework assigned that night. After playing this game for many years, it in one of the few times I hear my students saying, "Mr. Giffhorn, put some more problems on the board!"
While I use this template in math class, it could be changed and used in everything from Science to English to History and Social Studies. Let me know if you have any questions.
These files include one complete set of card and questions for a rational and radical equations review (you can edit the questions easily with MathType or MS Equation Editor).