1、How excited we are! The entrance examination of collage we have been looking forward to (is coming) soon.
做这类题需要先进行语法分析。后面句子的语法结构是——
主句：The entrance examination of collage (is coming) soon 大学入学考试很快就要到了。【主语 the entrance examination 是单数】
定语从句：we have been looking forward to 我们一直期待着的（入学考试）【定语从句中省略了指代entrance examination 的关系代词 that/which】
2、Children are tired of learning often because they (are expected) to do well, both at school and at home.
they (are expected) to do well 是被动语态，按照下文的 both at school and at home ，可以改写为主动语态 the teachers and the parents expect them to do well（老师和家长都要求他们学得好）。变成被动语态是原宾语 them 改为主语 they，谓语动词需要改为“助动词 are + 过去分词 expected”。