There is/are/were/will be speech contest in our school next week.

There is/are/were/will be speech contest in our school next week.
There is/are/were/will be speech contest in our school next week.

There is/are/were/will be speech contest in our school next week.
用will be

next week 提示本句是一般将来时，答案就是：
will be

这句话的意思是，我们学校下星期将会有一场演讲比赛。应用一般将来时，will be