The Intermediate Certificate was a certificate awarded in Australia for the successful completion of three years of high school. This was at around age 14, what is called Year 9 today. Currently, students in New South Wales can leave school at 15 since 1943. A student who wanted to enter university needed a Leaving Certificate, for the completion of another two years. Both were based on external examinations. The Intermediate Certificate was abolished in the 1960s.
References
Intermediate Certificate (Australia) Wikipedia(Text) CC BY-SA