Here's what wiki says about "The Right to Silence" (https://en.wikipedia.org/wiki/Right_to_silence)
in Australia:
Australia has no constitutional protection for the right to silence,[2] but it is broadly recognized by State and Federal Crimes Acts and Codes and is regarded by the courts as an important common law right. In general, criminal suspects in Australia have the right to refuse to answer questions posed to them by police before trial and to refuse to give evidence at trial. However a person must answer questions related to their name and place of residence if asked to by police. As a general rule judges cannot direct juries to drawadverse inferences from a defendant's silence (Petty v R) but there are exceptions to this rule, most notably in cases which rely entirely on circumstantial evidence which it is only possible for the defendant to testify about (Weissensteiner v R). The right does not apply to corporations (EPA v Caltex).
There are numerous statutory abrogations of the right, particularly in the area of bankruptcy. It is also not available to witnesses testifying before a Royal Commission. There are also abrogations of the right in recent Federal anti-terrorism and Victorian organised crime Acts.[3] Each of these acts set up coercive questioning regimes which operate outside the normal criminal processes. Direct testimonial evidence gained from this coercive questioning cannot be used in any subsequent criminal trial of the person providing the evidence, however a witness who testifies in his defense at a subsequent criminal trial who provides a different testimony to that during the questioning may face prosecution for perjury.
The state of New South Wales passed the Evidence Amendment (Evidence of Silence) Act 2013 [4] which allows the judiciary to direct the jury to draw unfavourable inferences against a defendant who omits a fact during police questioning that they later rely on in court in a bid to be found not guilty.[5] The law strictly applies to those over the age of 18 and who have an Australian legal practitioner physically present and available. The change is designed to reflect reforms made in the United Kingdom in 1994 and will apply to indictable offences that carry a penalty of five or more years imprisonment.