Game Hexagon against friend

Your mission is to join the three sides of the triangle 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.
2. Your friend must approve your challenge. You wait till your friend starts.
3. Your friend chooses field and solves mathematical exercise on this field. If he/she succeeds, the field is his/her. If he/she fails, field is free.
4. Then it is your turn and you choose the field and continue in the same way as your friend.
5. You change order one by one, till one of you joins all three sides of triangle.

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