Australian Mathematics Competition Preparation: AMT Contest Training

Not the competition you may be thinking of

The Australian Mathematics Competition is run by the Australian Mathematics Trust, and it is not the American Mathematics Competitions. The shared acronym causes real confusion, and families occasionally prepare for one while intending to enter the other.

They differ in format, in purpose and in problem style. The American AMC is a qualifying route towards AIME and ultimately national team selection. The Australian competition is a broad participation contest sat across a number of countries, designed to reach a wide range of students while still challenging the strongest. Both are worth sitting; they are not substitutes for one another.

A format that tests two different things

The AMT paper has historically been mixed: multiple choice through most of it, with integer answers required for the harder final questions.

That combination is unusually good training. The multiple-choice section rewards elimination, estimation and the willingness to work backwards from the options. The integer section removes that safety net entirely, so an arithmetic slip that would have been caught by finding no matching option simply costs the mark.

We train these separately in the closing weeks, because the habits that serve a student well in the first section can actively hurt in the second.

Reading, not skimming

AMT problems frequently use concrete, real-world framing. A question describes a situation involving a water tank, a journey, a pattern of tiles. This makes the paper approachable and it carries a trap.

Students used to abstract problem statements learn to skim for the numbers. On a paper like this, the condition that makes the problem interesting is often stated in ordinary prose and easy to read past. We spend time on reading the problem properly, which sounds trivial and accounts for a meaningful share of avoidable losses.

A steep curve, and what to do about it

The difficulty curve is pronounced. Early questions are accessible to any prepared student in the division; the final ones are genuinely hard.

The practical consequence is about time rather than mathematics. A student who spends ten minutes on a hard question in the middle of the paper has spent the time that six accessible later questions needed. We practise securing the early section quickly and then committing the remaining time as a deliberate decision, which is far easier to do if it was planned beforehand.

Topic coverage

Number and arithmetic reasoning underpins the early questions and gets the first weeks, including estimation habits that make the rest of the paper manageable.

Algebra and patterns focuses on translating a wordy situation into mathematics, which is where most students stall before the algebra itself gets difficult.

Geometry and measurement covers angles, areas, volumes and spatial problems. Logic, counting and probability are introduced at the level the division requires, with emphasis on organised listing.

Sitting the right division

Divisions are set by school year, and preparation pitched to the wrong one wastes months. We confirm the correct division against the current official specification before beginning.

How the classes run

Sessions are live and online, one-on-one or in small groups of two to six. Students work problems during the session while the teacher watches the approach, and the closing weeks use past papers at the student division under timed conditions.

Who this suits

Students comfortable with arithmetic and basic geometry for their year. No prior competition experience is assumed, and the mixed format makes it a particularly useful competition to sit alongside others, since it exercises both the strategy of multiple choice and the precision of exact answers.

Divisions, format, dates and arrangements for international entry are set by the Australian Mathematics Trust and change between years. Check amt.edu.au for the current cycle rather than relying on details reproduced on a coaching page.