The Gustav Bull Mountains are small groups of bare, rugged mountain peaks and nunataks, lying 4 miles (6 km) inland from the coast and 10 nautical miles (19 km) southwest of Scullin Monolith in Mac.

The British Australian New Zealand Antarctic Research Expedition (1929–31), under Douglas Mawson, made an airplane flight over this area in January 1930, returning for further exploration in February 1931, and giving names to individual features in the group.

They named this mountain after Sir David Rivett, Deputy Chairman and Chief Executive Officer of the Australian Council for Scientific and Industrial Research, 1927–45.

A line of sharp peaks in the south part of Mount Rivett, in the Gustav Bull Mountains of Mac.

A small bare peak standing 1 mile (1.6 km) south of Mount Rivett in the Gustav Bull Mountains of Mac.

On February 13, 1931, the BANZARE under Douglas Mawson made a landing on nearby Scullin Monolith.

A rock peak (595 metres (1,952 ft)) rising 0.2 miles (0.32 km) south of Mount Marsden in the Gustav Bull Mountains of Mac.

A small nunatak lying 3 miles (4.8 km) south-southwest of Mount Kennedy in the Gustav Bull Mountains of Mac.

Mapped by Norwegian cartographers from aerial photographs taken by the Lars Christensen Expedition (1936-37) and named Kjerka (the church).