Year 12 · HSC / Mathematics Extension 2
Practice questions.
Use one attempt to work out what to practise next.
Try this with Mathematics Extension 2
- Attempt a question independently and keep your original working.
- Mark the first point where your reasoning differs from the worked answer or criteria.
- Try a similar question and explain the step that changed.
Pick a starting point
- The language of proof: implication, converse, contrapositive and proof by contradiction
- Proving inequalities from a > b and the non-negativity of squares
- The triangle inequality and the AM–GM inequality for two numbers
- Induction for series in sigma notation and for non-standard base cases or steps
- Divisibility and inequality proofs by induction
- Induction in calculus, geometry, the binomial theorem and recursive formulae
Resource inventory inspected 4 November 2026. The main ATARMAXXING study platform is separate from tutoring. Topic labels show what was found, not a guarantee of complete curriculum coverage or tutor availability.
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