A continue in the Super Monkey Ball series is when you lose all your lives and continue the game with another set of lives in the Main Game. However, this also resets the score and bananas. In the Continue screen, you can choose whether or not you can continue. If you choose not to, the game ends.
You get six continues at the start of the game, but you can get more continues by getting 2500 play points after unlocking all mini games. You can get up to ten continues then after that you unlock infinite continues.
You still get six continues, but you can't get any more with Play Points. Instead, you can get lives with 500 play points for each life after six new party games unlocked. You can get up to 99 lives by getting a total of 48,000 points.
You have six continues, but you don't get anymore continues or lives if you play the game more. In this game, you cannot purchase extra continues and monkeys with Play Points.
Starting with Super Monkey Ball: Banana Blitz, you have infinite continues.
In this game, you have infinite continues. Even if you quit the game and play that same world from where you left off on, it still counts as using a continue.
You get three continues at the start of the game, but like Super Monkey Ball, you can get more continues by completing the individual difficulties. You can get up to six or nine continues before getting an unlimited amount.