Hello Barney. Thank you for your question.
The Prime Minister is a member of the House of Representatives and the leader of the Australian Government. They work at Parliament House when the House of Representatives is sitting—meeting—which is usually 18-20 weeks each year. They are also at Parliament House during some non-sitting weeks to meet with senior ministers and give speeches about government policy.
When in the House of Representatives, the Prime Minister sits at the central table in front of the government and directly opposite the Leader of the Opposition. As the leader of the government, they give major speeches and answer many questions directed to the government during Question Time.
Like all members of the House , the Prime Minister represents an electorate. When Parliament is not sitting, the Prime Minister may be in their home state or territory engaged in electorate duties, such as helping constituents with difficulties they have with issues such as taxes, immigration, health or pensions.
In addition, the Prime Minister has extra responsibilities which often require them to travel around Australia to meet people and talk about the government’s plans. Sometimes they may also be required to travel overseas to meet other world leaders and represent the nation.
You can discover more about the role of the Prime Minister in this factsheet.