When your youngest child turns six (if married) or eight (if single) you may be put on Newstart and requested to do an activity test.  Parents who are registered for homeschooling in their state or are enrolled in distance education are exempted.

Newstart customers who are homeschooling are exempted from the job seeking (activity) test and paid at a higher rate. (see last line in the linked page) Here is the link to Centrelink’s own page:

http://www.humanservices.gov.au/customer/enablers/centrelink/newstart-allowance/payment-rates-for-newstart-allowance