Great:
* The view from the mountaintop was great.
* We had a great time at the party.
* She's a great cook.
Grate:
* I need to grate some cheese for the pasta.
* The cat was grating its claws on the furniture.
* The old man grated his teeth in frustration.
Using both words in a sentence:
* "Can you grate some Parmesan cheese? I'm making a great lasagna."
* "The chef used a grate to produce finely shredded cheese for his great pasta dish."
Let me know if you'd like more examples or want to explore different types of sentences!