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 "Unknown280"] [Result "0-1"] [Annotator "David Hayes"] [BlackElo "0"] [FEN "1k6/1p4QR/pq1r1p2/8/2p1KP2/2P1P1P1/6P1/8 b - - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] 1... Qb1+ ( { Black can try: } 1... Qc6+ 2. Kf5 Qc8+ ( 2... Qd5+ 3. Kg4 f5+ 4. Kg5 a5 5. g4 fxg4+ 6. f5 Rb6 7. Rh8+ Ka7 8. Qg8 Qxg8+ 9. Rxg8 a4 10. f6 Rb2 11. f7 Rf2 12. f8=Q Rxf8 13. Rxf8 Kb6 14. e4 Kc6 15. e5 Kd5 16. Kf6 Ke4 17. Rd8 a3 18. e6 a2 19. e7 a1=Q 20. e8=Q+ Kf4 21. Qe5# ) 3. Ke4 f5+ 4. Kf3 Qc6+ 5. Kf2 Rd2+ 6. Ke1 Rxg2 7. Rh8+ Ka7 8. Qd4+ Qb6 9. Ra8+ Kxa8 10. Qxb6 { White wins with a large material advantage. } ) 2. Kf3 Qd1+ 3. Kf2 Rd2# 0-1