Not to miss

Fremantle Motor Museum

On Victoria Quay, this museum houses a private collection of wheels owned by one mining magnate. British racers, historic motorcycles, a Ferrari and the first Holden prototype are all licensed and still grace the track. Even Wally's chariot from the much-loved Australian movie Crocodile Dundee has made its way here.

Aquarium of Western Australia (AQWA)

AQWA is a wonderful way to spend an afternoon. As you wander down the 98m (321ft) tunnel aquarium, thousands of colourful fish, sharks and stingrays glide around you. For a closer look, head to the Discovery Pool, where you can actually touch the sharks and stingrays. The seal gallery alone is worth visiting, to watch them train above the water and play below.

Snorkellers and divers can pay for a shark experience inside the tank. From September to December, whale-watching trips are also available.

Kings Park

Check out the superb views from Kings Park, the lungs of the city centre. The park includes a 17-hectare (42-acre) Botanic Garden and a section of natural bushland, which represents Perth as it was before the white fella got here. In spring, there's a cultivated display of Western Australia's famed wild flowers. The park also has some pleasant bike tracks.