Australia
If rain stops play I wholly recommend the art gallery. It's not so big, so it doesn't take long to get around but it's air conditioned and quiet. There is always a gallery of indigenous art and the other galleries are rotated often. One really exciting exhibition is the Year 12 Perspectives; the state's best (equivalent) A-Level art pieces which are breathtaking.
It's right by Perth train station, quite close to the museum too (gold coin donation for entry there) and on the Northbridge side - so easy to get dinner afterwards!
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