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The 1883–84 season was the tenth season of competitive football by Rangers.

Overview

Rangers played a total matches during the 1883–84 season.

All results are written with Rangers' score first.

Date	Round	Opponent	Venue	Result	Attendance
8 September 1883	R1	Northern	A	1–0
29 September 1883	R2	Whitehill	H	14–2
20 October 1883	R3	Falkirk	H	5–2	2,000
10 November 1883	R4	Dunblane	A	1–6
1 December 1883	R5	St Bernard's	A	3–0	2,000
22 December 1883	R6	Cambuslang	A	1–5
19 January 1884	SF	Vale of Leven	A	0–3	7,000