Game Race against friend

Your mission is to collect 6 trophies sooner than your friend. On the way you have to solve various mathematical problems. Your friend starts and then you are changing order one by one.

1. Choose your friend from your class.
2. Your friend must approve your challende. You wait till your friend starts.
3. Your friend throws a dice and moves forward as many fields as it fell on the dice. Fields without trophy are skipped. He/She must solve exercise. If he/she succeeds, he/she gets this trophy. If he/she fails, he/she will lose that trophy.
4. Then it is your turn and you throw the dice.
5. You move forward and solve exerice in the same way as your friend.
6. You change order one by one, till one of you gets all trophies and become winner.

I wish you good luck and let win the better of you.