AMC Difficulty Explained: Questions 1 to 30

Australian Mathematics Competition difficulty rises steadily across the 30 questions: Questions 1-10 are accessible and worth 3 marks each, Questions 11-20 are core problem-solving at 4 marks, Questions 21-25 build toward Distinction at 5 marks, and Questions 26-30 are integer-answer stretch problems worth 6 to 10 marks.

Questions 1-10: the accuracy zone

These questions look like confident school maths: arithmetic, simple fractions and percentages, basic geometry, reading a table. The challenge is not difficulty but precision under time. A careless slip here costs the same 3 marks as a hard problem, so the goal is zero avoidable errors. Strong students should finish this band quickly and accurately to bank time for later.

Questions 11-20: the method-choice zone

This is where AMC stops resembling a normal test. Questions draw from number, algebra, geometry, measurement, probability and logic, and crucially they do not announce which topic they belong to. The skill is recognising structure: spotting that a wordy problem is really about ratios, or that a geometry figure hides a counting argument. Most of a typical Years 7-8 student's improvement comes from mastering this band.

Questions 21-25: the Distinction zone

At 5 marks each, these multi-step problems separate solid performers from award winners. They usually need two or three connected ideas, careful casework, or a clever simplification. Preparation here is about depth, not breadth: working a smaller number of hard problems slowly, then writing one sentence on the key insight that unlocked each one.

Questions 26-30: the stretch zone

The final five require an integer answer from 0 to 999, so guessing barely helps. They are worth 6, 7, 8, 9 and 10 marks respectively and reward persistence, number theory, advanced counting and elegant geometry. Many students never need to fully solve all five — converting even one or two is a significant result. Students who consistently reach this band comfortably are often ready for AIMO.

How to train for the whole curve

A common mistake is grinding only easy or only hard questions. Balanced preparation walks the curve: secure Q1-20 first, then push into Q21-25, and only treat Q26-30 as a bonus once the earlier bands are reliable. A timed mixed set — where you do not know which topic is coming — is the closest practice to the real exam.

For the official format and marking, see the AMT AMC page. To see your own difficulty curve in action, a scored diagnostic shows exactly where your accuracy drops off.

How difficulty maps to year level

One subtlety often missed: the same paper is sat across a division, so a question that is a stretch for a Year 7 student may be routine for a Year 8 student in the Junior division. The AMC sets separate papers per division (Middle Primary, Upper Primary, Junior, Intermediate, Senior), but within a division the difficulty curve is fixed for everyone. That is why awards are decided by year level inside the division — it keeps the comparison fair when a younger and older student sit identical questions.

Two traps in reading the curve

First, students assume the early questions are "free" and rush them; in reality, a careless slip on a 3-mark question costs exactly as much as failing a hard one, so the accessible band deserves real care. Second, students assume the marks rise smoothly, but the jump from Question 25 to Question 30 is steep — the last question is worth more than three of the early questions combined. Treating the stretch band as optional bonus marks, rather than a place to lose confidence, is the healthier mindset. Structured preparation, from A$149 self-paced, is built around exactly this band-by-band approach.

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