Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The 1980–81 season is the 84th season of competitive football by Rangers. Rangers played a total of 47 competitive matches during the 1980–81 season. The summer of 1980 saw Greig bring in Jim Bett from Lokeren for 150,000. Bett was joined by Colin McAdam a 165,000 signing from Partick Thistle. The side got off to a good start in the league, going on a fifteen match unbeaten run, including two Old Firm wins, was to end in November. A disastrous run in November and December all but ended the title challenge as the team finished third, twelve points behind champions Celtic.

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