Western Australia (Perth) does not observe Daylight Saving Time and has not done so since a referendum in 2009. The offset between Perth and the east coast of Australia changes by one hour twice per year — not because Perth moves, but because Sydney and Melbourne do.
Western Australia has held four referendums on DST since 1975. All four voted against it.
Why This Matters
Western Australia does not observe DST. Perth stays on AWST (UTC+8) year-round. This is often confusing because Sydney and Melbourne do observe DST — so the offset between Perth and Australia's east coast changes twice a year. When Sydney is on AEDT (UTC+11), it's 3 hours ahead of Perth. When Sydney is on AEST (UTC+10), it's only 2 hours ahead. Perth doesn't move; the east coast does.