Rangers played a total of 42 competitive matches during the 1974-75 season. Rangers won the final Scottish Football League Division One title before it was rebranded as the Scottish Premier Division. They also stopped Celtic's quest for ten-in-a-row. The decisive championship match came on 29 March 1975, Rangers needed a point away to Hibernian and that's exactly what they got. The Edinburgh club finished second to Rangers with Celtic back in third, a full eleven points behind.

The cup competitions however, provided little success as Rangers crashed out of the Scottish Cup in the third round to Aberdeen and could not progress past the sectional round in the League Cup. There was no European football that season.

All results are written with Rangers' score first.

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