How to Prepare for the AMC: A Practical Guide

The Australian Mathematics Competition (AMC) isn't a curriculum test — it rewards problem-solving and insight, not memorised procedures. That's why a student who tops school maths can still find it hard, and why preparation looks different from cramming for a school exam. The good news: problem-solving is a skill you can build. Here's a practical plan.

1. Understand the format first

Before practising, know what you're walking into. Each AMC paper has 30 questions — questions 1–25 are multiple choice, and 26–30 need an integer answer from 0 to 999. The difficulty ramps up steeply, and scoring is weighted so later questions are worth more. Students sit one of five division papers by age group (Middle Primary through Senior). If any of that is new, read What Is the AMC? first.

2. Train techniques, not topics

School maths asks "can you apply this method?" The AMC asks "can you find the method?" The highest-value preparation is learning to recognise which approach a problem calls for. The recurring ones are:

• Working backwards — start from the answer or the end state.
• Casework — split a problem into a few manageable cases.
• Looking for patterns — compute small examples until the rule appears.
• Counting arguments — count without listing everything (pairs, arrangements, overlaps).
• Spatial and visual reasoning — cubes, grids, folding, symmetry.

When your child gets stuck, the useful question isn't "what's the answer?" but "which of these moves might unlock it?"

3. Practise at the right difficulty — with explanations that teach the method

Drilling easy questions builds speed but not insight. Practising questions that are slightly beyond the current level — with a worked explanation that shows the key idea, not just the answer — is what moves a student forward. Doing three hard problems slowly and understanding them beats rushing twenty easy ones.

4. Play the weighted-scoring game

Because later questions are worth more, marks aren't spread evenly. A strong strategy:

• Bank the early questions accurately — don't lose easy marks to careless slips.
• Spend real time on the middle-to-hard band, where the marks and the growth are.
• Don't freeze on the very last problems — attempt them, but don't let one question eat the clock.

5. Review by technique, not by answer

After each practice session, sort the misses by why they were missed: a technique not yet known, a careless error, or a misread question. Patterns emerge fast — most students have two or three recurring gaps. Fixing those is far more efficient than doing more random problems.

6. Simulate a full paper before the day

A week or two out, sit a full 30-question paper in one timed block. It builds stamina, exposes timing habits, and takes the surprise out of the difficulty ramp. Then review it the same way — by technique.

How PrepPath helps

PrepPath offers AMC-style practice across the Middle Primary, Upper Primary, Junior and Intermediate divisions (Years 3–10):

• Full 30-question mock papers with a genuine difficulty ramp, so a practice paper feels like the real thing.
• Practise-with-hints mode — one problem at a time, with step-by-step nudges when your child is stuck, so they learn the move rather than seeing the answer.
• Three-layer explanations on every question — the key insight, the full method, and a sanity check.
• A mastery map that shows which problem-solving techniques are strong and which need work — so review is targeted, not random.

Students also sitting the Selective or OC tests will find the reasoning carries across directly — the problem-solving habits the AMC builds are exactly what those exams reward too.

PrepPath is an independent educational platform and is not affiliated with, endorsed by, or associated with the Australian Maths Trust (AMT). "AMC" and "Australian Mathematics Competition" are used here for description only. PrepPath's practice questions are original, AMC-style material — not real AMC papers. Always check the Australian Maths Trust website for official competition dates and details.