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HSC Maths Extension 2 exam 2026Exam: Mon 19 Oct · NESA timetable

Your HSC Maths Extension 2 exam:

Add to calendar (.ics)All HSC exam datesMaths Extension 2 study hub

When and how long

  • Mathematics Extension 21.50 pm to 5.00 pm3 h 10 min in total, including reading time

NESA: the exam start time shown on your timetable is when reading time begins, and you must arrive well before it. Finishing times marked approximate are shown as approx.

Source: 2026 HSC written exam timetable (NESA), checked Wednesday 23 September 2026. Where a start time, reading time or duration isn't shown, the timetable doesn't publish it: check your personal timetable and the front of your paper.

Most-examined dot points

From 288 questions on the official NESA papers (2020 to 2025), mapped to the syllabus. Past frequency is a guide to what to secure, not a prediction.

  1. Three-dimensional vectors, lines and spheres in HSC Mathematics Extension 2: component form, magnitude, the scalar product, vector equations of lines and the equation of a sphere33 questions · examined in 6 of 6 years
  2. The nature of proof in HSC Mathematics Extension 2: direct proof, proof by contradiction, contrapositive and disproof by counterexample29 questions · examined in 6 of 6 years
  3. De Moivre's theorem and roots of unity in HSC Mathematics Extension 2: powers in polar form, nth roots, the roots of unity and their geometry26 questions · examined in 6 of 6 years
  4. Complex number arithmetic and the Argand plane in HSC Mathematics Extension 2: Cartesian and polar form, modulus, argument, conjugate and geometric interpretation25 questions · examined in 6 of 6 years
  5. Resisted motion in HSC Mathematics Extension 2: rectilinear motion under gravity with resistance proportional to velocity or velocity squared, and terminal velocity24 questions · examined in 6 of 6 years
  6. Vector geometric proofs in HSC Mathematics Extension 2: proving triangle, parallelogram and quadrilateral properties using position vectors and the scalar product20 questions · examined in 6 of 6 years
  7. Proving inequalities in HSC Mathematics Extension 2: the non-negativity of squares, the AM-GM inequality, and rigorous algebraic argument19 questions · examined in 6 of 6 years
  8. Integration by parts in HSC Mathematics Extension 2: the formula, choosing u and dv, repeated application, and the boomerang (recovery) technique18 questions · examined in 6 of 6 years

See every dot point in the exam trends.

Night-before and exam-morning checklists

The night before

  • Check your personalised timetable on Students Online: the start time shown is when reading time begins.[2]
  • Confirm your venue and the start time.[1]
  • Pack a clear bag: several black pens (no erasable ink), 2B pencils, sharpener, eraser and a ruler.[1]
  • Pack an approved calculator (check NESA's list) and a compass or protractor if the exam needs them.[1]
  • Fill a clear, label-free water bottle.[1]
  • A plain watch only if you want one (no smart or programmable watch); it goes on the desk.[1]
  • Stop revising around 7 to 8 pm, set two alarms and sleep.[1]

Exam morning

  • Eat a real breakfast.[1]
  • Arrive well before the start time to allow for seating and checks.[2]
  • Leave your phone and other electronic devices outside the exam room.[1]
  • Use the bathroom before you go in.[1]
  • In reading time, read and plan only: no writing, marking or annotating.[1]
  • You can't leave in the first hour or the last 15 minutes.[1]
  1. HSC exam day: what to actually expect
  2. NESA: HSC written exam timetable

Exam-week survival kit: The last 7 days · The night before and exam morning · What to bring, and what's banned · How to use reading time · If you're sick or something goes wrong · Handling exam-week stress.

Last-week revision

Syllabus by module

HSC Maths Extension 2 cram sheet

Key formulas, definitions and facts copied from our Maths Extension 2 syllabus pages, most-examined topics first. One page when printed.

Using Complex Numbers (MEX-N2)

Read ∣z−a∣|z - a| as the distance from zz to aa, and arg⁡(z−a)\arg(z - a) as the angle of the arrow from aa to zz. Then:

From: Curves and regions in the complex plane in HSC Mathematics Extension 2: loci from modulus and argument conditions, including circles, perpendicular bisectors and rays

De Moivre: [rcis⁡θ]n=rncis⁡(nθ)[r\operatorname{cis}\theta]^n = r^n\operatorname{cis}(n\theta) for integer nn. The nn solutions of zn=Rcis⁡ϕz^n = R\operatorname{cis}\phi are

From: De Moivre's theorem and roots of unity in HSC Mathematics Extension 2: powers in polar form, nth roots, the roots of unity and their geometry

In modulus-argument form z=rcis⁡θz = r\operatorname{cis}\theta with r=∣z∣r = |z| and principal argument θ∈(−π,π]\theta \in (-\pi, \pi]:

From: Modulus-argument form in HSC Mathematics Extension 2: polar form, the principal argument, and the geometry of multiplication and division of complex numbers

Further Integration (MEX-C1)

For ∫sin⁡mxcos⁡nx dx\displaystyle\int \sin^m x \cos^n x\,dx:

From: Trigonometric integrals in HSC Mathematics Extension 2: powers of sine and cosine (odd and even strategies), powers of tangent and secant, the integral of sec x and sec cubed x, and products of sines and cosines via product-to-sum identities

Further Work with Vectors (MEX-V1)

Translate the geometry into algebra:

From: Vector geometric proofs in HSC Mathematics Extension 2: proving collinearity, perpendicularity, midpoint and parallelogram properties, and properties of 3D figures using position vectors and the scalar product

Exam date and time from the official NESA 2026 timetable, checked Wednesday 23 September 2026. Not affiliated with NESA; always confirm with your personal timetable.

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