1) I studied hard for the test. I failed it. (despite)
2) He doesn't earn a lot of money. He gives a lot of it to charity. (However)
3) I'd seen the film before. I still really enjoyed it. (although)
4) I started to eat less. I didn't lose any weight (in spite of).
5) It wasn't very warm. We had a good time at the beach. (Nevertheless)
6) I don't speak a word of Chinese. I understood what he said. (even though)