In Year 11 Mathematics Specialist, explore Geometry; Combinatorics. See the learning outline, assessment information and original sample before choosing.
Confirm your cohort: Official current course listing offers the Year 11 syllabus for teaching from 2026, updated 30 July 2026. Its effective date is 1 January 2026. The listing's 2027 replacement is explicitly Year 12, not Year 11; no separate Year 11 2027 syllabus was found. Continuing application in 2027 is likely, not explicitly verified. UNVERIFIED against the advertised SCSA edition: the existing outline is retained as an earlier resource, not as confirmed current learning.
What will I learn?
Geometry
Existing outline — UNVERIFIED for the advertised editionCombinatorics
Existing outline — UNVERIFIED for the advertised editionVectors in the plane
Existing outline — UNVERIFIED for the advertised editionTrigonometry
Existing outline — UNVERIFIED for the advertised editionMatrices
Existing outline — UNVERIFIED for the advertised editionReal and complex numbers
Existing outline — UNVERIFIED for the advertised editionUnit 3 — Topic 3.1: Complex numbers
Existing outline — UNVERIFIED for the advertised editionMoves from Cartesian to polar form: modulus and argument identities, multiplication and division as rotation and dilation, de Moivre's theorem for integral powers, loci and regions in the Argand plane, nth roots of unity and of complex numbers, and the factor, remainder and conjugate root theorems for solving real polynomial equations.
Unit 3 — Topic 3.2: Functions and sketching graphs
Existing outline — UNVERIFIED for the advertised editionComposition of functions and when it is defined, one-to-one functions and inverses with the reflection property, absolute value, the graphs of 1/f(x), |f(x)| and f(|x|), and sketching rational functions of low degree with vertical, horizontal and oblique asymptotes.
Unit 3 — Topic 3.3: Vectors in three dimensions
Existing outline — UNVERIFIED for the advertised edition3D vector algebra and proof, spheres, vector equations of lines, segments, curves and planes (normals from the cross product), systems of three linear equations with their three solution cases and geometric meaning, and vector calculus for motion including projectile and circular motion.
Unit 4 — Topic 4.1: Integration and applications of integration
Existing outline — UNVERIFIED for the advertised editionIntegration using the sin^2, cos^2 and tan^2 identities, substitution u = g(x), the integral of 1/x and f'(x)/f(x), and partial fractions; areas between curves in x or in y, volumes of solids of revolution about either axis, and numerical integration with technology.
Unit 4 — Topic 4.2: Rates of change and differential equations
Existing outline — UNVERIFIED for the advertised editionImplicit differentiation, related rates and the increments formula; separable first-order differential equations and slope fields; formulating growth models including, but not limited to, the logistic equation; and rectilinear motion with variable acceleration, v dv/dx and simple harmonic motion.
Unit 4 — Topic 4.3: Statistical inference
Existing outline — UNVERIFIED for the advertised editionThe sample mean as a random variable with mean mu and standard deviation sigma/sqrt(n), its approximate normality for large n, approximate confidence intervals x-bar +/- z s/sqrt(n) for a population mean, interval width and sample size, and what intervals do and do not tell you.
How will I be assessed?
Needs verification: UNVERIFIED current assessment mix. Use the advertised SCSA syllabus and the school's outline; earlier guide weights are not substituted.
Progression and companion subjects
Recommendation: SCSA recommends Mathematics Specialist with Mathematics Methods. Specialist builds on Methods content and should not be planned as a standalone mathematics course without school advice.
Will I find it hard?
Difficulty depends on your experience, interests, teaching and assessment. These are our reflection prompts, not an official difficulty rating.
- How do you feel about explaining a method and working through unfamiliar multi-step problems?
- Try the sample without looking at a worked answer, then check the steps you need to practise.
Does it scale up or down?
Mathematics Specialist, 2025. TISC’s mean scaled scores summarise all students with a scaled score in the published course. The mean describes a cohort and gives no individual raw-to-scaled conversion. A scaled mean alone cannot establish whether this subject scaled up or down. Historical cohort data cannot predict your result or a future scaling direction.
| Mean scaled score | Students |
|---|---|
| 69.2 | 1,311 |
Scaling is not a measure of difficulty or a guaranteed bonus. Prioritise content you can engage with and required subjects for courses you are considering.
Try a little of the subject
Geometry
A mathematical statement has a truth value within a stated domain. Write P ⇒ Q for “if P, then Q”. This asserts that no case has P true and Q false; it does not assert P. The converse is Q ⇒ P, the inverse is not P ⇒ not Q, and the contrapositive is not Q ⇒ not P. The contrapositive is equivalent to the original implication. The converse and inverse are equivalent to each other, but need not be equivalent to the original. An equivalence P ⇔ Q requires both directions, often proved separately. Negating P ⇒ Q gives P and not Q, not the inverse. The quantifier ∀ means “for every”, while ∃ means “there exists”. Always identify the domain: ∀ real x, x² ≥ 0 is true, whereas ∀ real x, x² > 0 fails at zero. Its negation is ∃ real x with x² ≤ 0. Negating an existential statement produces a universal statement with its predicate negated. Several successful examples suggest a conjecture but do not prove a universal claim. A single valid counterexample disproves one. Check that the counterexample belongs to the specified domain and satisfies the hypothesis. Worked example. For integers n, let P mean n is divisible by four and Q mean n is even. P ⇒ Q because n = 4k = 2(2k). Its converse says every even integer is divisible by four; n = 6 disproves it. The inverse says an integer not divisible by four is not even, also disproved by six. The contrapositive says an odd integer is not divisible by four and is true. Thus an equivalence would be unjustified. The negation of the original is the existence of an integer divisible by four that is not even; this is false. Proof by contradiction assumes the negation of the desired conclusion and derives an impossibility from established facts. For example, two distinct lines cannot share two distinct points: if they did, both would be the un
Original practice question: The negation of ∀ real x, x² > 0 is:
Show the worked answer
D
This is ATARMAxxing’s original sample learning material. It is not an official assessment task or a prediction of your school’s workload.
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Sources, versions and verification dates
Profile source metadata last checked: 2026-10-24. A source check is not an endorsement by the authority or confirmation that a future course version is unchanged.
- Mathematics Specialist ATAR Year 11 syllabus — SCSA; 2026-10-24. Published version For teaching from 2026; 2013/28692[v15]; effective 1 January 2026. Confirm applicability to your cohort.
- SCSA Mathematics Specialist syllabus and support materials — SCSA; 2026-10-24. Published version Current listing accessed 24 October 2026. Confirm applicability to your cohort.
- ATARMAxxing Mathematics Specialist ATAR Course Year 12 Syllabus (for teaching from 2027) guide — ATARMAxxing; 2026-11-14. Original existing study guide, not an independent official verification or a forecast of a future syllabus.
- TISC 2025 scaling report: Mathematics Specialist — TISC; 2026-11-12. TISC’s mean scaled scores summarise all students with a scaled score in the published course. The mean describes a cohort and gives no individual raw-to-scaled conversion.
- Mathematics Specialist ATAR: advertised Year 11 syllabus — SCSA; 2026-11-13. Observed source link. Current learning/assessment detail is not transcribed or independently verified in this profile.
- Mathematics Specialist ATAR: advertised Year 12 syllabus — SCSA; 2026-11-13. Observed source link. Current learning/assessment detail is not transcribed or independently verified in this profile.
- TISC 2025 scaling report: Mathematics Specialist — TISC; 2026-11-12. TISC’s mean scaled scores summarise all students with a scaled score in the published course. The mean describes a cohort and gives no individual raw-to-scaled conversion.