Q: Does "trouble" have the same meaning in the following two sentences?

I went to a lot of trouble.

He won without any trouble.

A: the same meaning

Q: Does "grater" have the same meaning in the following two sentences?

I'm making coleslaw; do you know where the grater is?

Modern cheese graters have more than one side so the cheese can be sliced in different ways.

A: the same meaning

Q: Does "grace" have the same meaning in the following two sentences?

It was debated whether saving grace could be obtained outside the membership of the church.

I'm so grateful to God for the grace that He has given me.

A:
different meanings