• AMC. The Australian Mathematics Competition is the flagship open-entry mathematics competition in Australia. It is designed to be accessible to all students, whilst identifying and challenging those with significant talent. More information can be found here: https://www.amt.edu.au/australian-mathematics-competition/

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• UMMC. The University of Melbourne Mathematics Competition is a challenging open-entry problem solving competition. More information including past papers can be found here: https://mathscomp.ms.unimelb.edu.au/

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• AIMO. The Australian Intermediate Mathematical Olympiad is a challenging open-entry mathematics competition designed for those who have excelled in the AMC. More information can be found here: https://www.amt.edu.au/australian-intermediate-mathematics-olympiad

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• ASC. The Australian Mathematical Olympiad Committee Senior Contest is a mathematics competition designed to assist with the training and selection of the IMO team.

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• AMO. The Australian Mathematical Olympiad is the most challenging mathematics competition in Australia. It is designed to assist with the training and selection of the IMO team.

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• APMO. The Asia-Pacific Mathematics Olympiad is a regional mathematics competition. More information and past papers can be found here: http://www.apmo-official.org/

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• IMO. The International Mathematics Olympiad is the most prestigious mathematics competition for students of high school age in the world. Each country sends a team of six to compete. More information including past papers can be found here: https://www.imo-official.org/