[误]I think we will make a friend with each other.

[正]I think we will make friends with each other.

[析]make friends 为习惯用法，即交朋友。

[误]I want to tell you much pieces of good news.

[正]I want to tell you many pieces of good news.

[析]news为不可数名词，但加了量词之后则要用many来修饰量词，因量词是可数名词，或可以说I want to tell you some good news.因some 即可用在可数名词前，也可用在不可数名词前作形容词，如：I want to  tell you some pieces of good news.

[误]The teacher with five students are coming here.

[正]The teacher with five students is coming here.

[析]要注意由with引出的介词短语不是本句的主语，这与连词and有很大的区别，如：The teacher and five students are coming here. 这里由介词引出的短语仅仅是teacher的修饰语。

[误]There are a lot of information here, but we don't need them.

[正]There is a lot of information here, but we don't need it.

[析]information为不可数名词，而用作代替它的词要用it而不能用them.

[误]Many a student make the same mistake in the exam.

[正]Many a student makes the same mistake in the exam.

[析]many a 加可数名词单数，作主语时其谓语动词应用单数形式，但其意为许多学生。