What is the difference in meaning between the following sentences?
Why don't you do the exam?
I'm sure you will pass it.
or
I'm sure you would pass it.
The difference is very slight, but as Alex says its about the difference between a real and a counter-factual situation.
I'm sure you will pass it.
implies
You are going to take it and you will pass it.
I'm sure you would pass it.
implies
If you decided to take it, you would pass it (but you might decide not to take it).
It is "I'm sure you will pass it", the word "would" refers to a theoretical situation whilst your example is of a literal situation. Hope this helps.
There's no difference in meaning.
The use of would, instead of will, makes the latter sentence less direct or blunt.