There are a few problems with the existing code itself:
1. Requirement says "void getScore()-should ask the user for a test score, store it in a reference parameter variable,"
=> This is not done. So teh values updated within the function won't be reflected in main.
2. Usually it's a better idea to use an array of 5 elements instead of 5 int variables. So if you have already learned arrays you should use that.
Coming to the min/max part. Well you need to figure out which variable holds the min value. Try and write down a small algo in english to find this out.
Anyway before you come to this part I would say you tell us if you can use an array or not, things will depend on it.