If your opponent offers you a draw, try to work out why he thinks he's worse off.
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[Event "rated untimed match"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Unknown"] [Black "Unknown342"] [Result "0-1"] [Annotator "David Hayes"] [BlackElo "0"] [FEN "8/2p2pkp/3p2p1/1Q1P4/6K1/1Bq4P/P4PP1/8 b - - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] 1... f5+ ( { Black can try: } 1... h5+ 2. Kf4 g5+ 3. Kxg5 Qe5+ 4. Kh4 Qf4+ 5. Kxh5 Qf5+ 6. Kh4 Qf4+ 7. g4 Qxf2+ 8. Kh5 Qe3 9. Kh4 Qf2+ 10. Kh5 Qe3 11. Kh4 Qf2+ { Draw by repetition of position. } ) 2. Kf4 ( { White can try: } 2. Kh4 Kh6 3. f4 Qe1+ 4. g3 Qe7# ) 2... Kf6 3. h4 h6 4. Qe2 g5+ 5. hxg5+ hxg5# 0-1