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King Willem-Alexander and Queen Maxima laugh at Cockatoo Island, Sydney, Australia Saeed Khan/ AFP

Dutch royals King Willem-Alexander and Queen Maxima of the Netherlands continue their state visit to Australia by conducting a public engagement to Cockatoo Island in Sydney on 3 November.

The royal couple are in Australia to mark the 400th anniversary of explorer Dirk Hartog's landing in Western Australia and the unveiling of Hartog's plate – which is the oldest existing relic of European exploration in Australia.

Queen Maxima, 45, channelled 1960s style with a satin headdress over her sleek up-do for the daytime outing, while wearing a light brown long-sleeved blouse tucked into a multicoloured striped A-line skirt.

Known for her daring sartorial choices compared to other global royals, the mother-of-three, who has a university degree in Economics and has worked for finance companies in Argentina, Brussels and New York, put a quirky spin on the outfit with a statement orange chunky necklace and woven clutch bag.

The queen was in high spirits as she joined her husband Willem-Alexander, 49, who was dressed in a smart navy suit and orange tie, on board a ferry as they were pictured passing some of Australia's most iconic land marks including the Opera House and Harbour Bridge on route to Cockatoo Island.

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Dutch King Willem-Alexander and Queen Maxima visit Cockatoo Island in Sydney on November 3 SAEED KHAN/AFP/Getty Images
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King Willem-Alexander and Queen Maxima share a humourous moment SAEED KHAN/AFP/Getty Images

The royal couple – who have been married since 2002 after first meeting in Seville, Spain in 1999 – looked happier than ever as they giggled and shared jokes among themselves throughout the day. On Cockatoo Island, the King wore a cattleman's hat while giving a speech at the Rabobank Farm2Fork summit. The couple also observed creatures used in fertilising the earth for farming.

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King Willem-Alexander of the Netherlands wearing a rancher's hat gives a speech at the Rabobank Farm2Fork summit at Cockatoo Island in Sydney, Australia Saeed Khan/ AFP
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University of Sydney Principal Professor Duncan Ivison greets Queen Maxima of the Netherlands and King Willem-Alexander outside the Great Hall of the University of Sydney in Sydney, Australia Peter Parks/ AFP

Cockatoo Island – a Unesco World Heritage Site since 2010 – is located at the junction of the Parramatta and Lane Cove rivers in Sydney Harbour. It is the largest of several islands that were originally heavily timbered sandstone knolls; it is now cleared of most vegetation.

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King Willem-Alexander (2nd L) watches on as Queen Maxima of the Netherlands observes creatures used in fertilising the earth for farming during their visit to Cockatoo Island in Sydney, Australia Jason Reed/ AFP
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King Willem-Alexander and Queen Maxima visit Cockatoo Island in Sydney, Australia Saeed Khan/ AFP

On Tuesday (2 November) the Netherlands royals attended a concert at the Sydney Opera House alongside Australia's Prime Minister Malcolm Turnbull and his wife Lucy Turnbull.

Ahead of the concert, the two couples posed for snaps outside the impressive Sydney Opera House as they waved to onlookers. Maxima and the First Lady appeared to get on famously as they chatted among the audience before the show commenced.

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King Willem-Alexander and Queen Maxima arrive at Cockatoo Island in Sydney, Australia Saeed Khan/ AFP