Q. 1. What is the definition of faith? Is it just the simple belief in being saved by Jesus as our Saviour?
A. 1. "Anyone who is not Catholic doesn't have what the Church defines is the Faith because the Faith is a supernatural virtue that empowers us to believe all things that God teaches. A heretic believes many things that a Catholic believes. A heretic, unlike an apostate, denies one or a few articles of the Faith. An apostate rejects it all."
"Saint Thomas points out that a heretic really doesn't have the Faith, otherwise he would accept everything that God teaches. But because he chooses to not accept this or that dogma he has only a kind of opinion that in many ways agrees with the articles of the Faith. But because the heretic rejects some dogmas, his belief is not based on Faith whereby a man believes everything God teaches is true because the faithful soul knows that God who is all Holy cannot tell a lie and God who is all knowing cannot be mistaken."
"There are some Catholics, perhaps many of us, who believe things that are contrary to the Faith. But we are in ignorance; we don't know that certain things are against the Faith. If we knew what the Faith taught, we would immediately accept its doctrine." [The Fatima Crusader, issue 93, Autumn 2009, pages 7-8]
To answer your question, Faith is a supernatural virtue that empowers us to believe all things that God teaches. That belief is pure, without exception.