There are two types of damage. Stress comes in 1,2 and 3 level boxes. Checking one can alleviate the same amount of overage on a hit. All stress goes away at the end of a scene.
Consequences are 2,4,6 and do the same, but hit you with a negative aspect that sticks around until the scene ends, two sessions pass or an arc ends, respectively.
You can mix and match but only one of each. A five raise hit needs to be absorbed by the 6 consequence or the 3 stress and 2 consequence.