Australia offers many scholarships for international students. The grant of scholarship is basically on merit and the students have to demonstrate their eligibility for the scholarship they are applying for. There are no qualifying exams for scholarships in Australia. The only exam which the students may have to take is the IELTS to demonstrate their English language ability.
As a starting point, checkout the scholarship resource links below;
Study in Australia
Australian Scholarships Foundation
International Welcome Scholarships
MacQuarie University India Scholarship