2 | I n t e r n a t i o n a l M a t h e m a t i c s 0 6 0 7 E N D O F T E R M E X A M Answer all questions INVESTIGATION KNOCK OUT COMPETITION (4 0 Marks) A knockout competition is a type of elimination tournament where the loser of each match - up is immediately eliminated. Each winner will play another in the next round, until the final match - up, whose winner becomes the champion. In this investigation, we will look at the number of games played in two kinds of competition. 1. In a given competition, the players compete against one of the other teams. The teams that win move to the second round. The team that wins the second round moves to the third and so on. (a) There are two teams in the last round, called the final. The round before the final is called semi - finals. The round before the semi - finals is called the quarter finals. i. Write down the number of teams in the semi - finals. . [� ] ii. Write down the