HSC HSC Mathematics Advanced · 2024 content registry · first HSC 2027
These examples show assessable skills, not an official HSC topic weighting or prediction. The 2024 NSW syllabuses have their first HSC examination in 2027; students sitting the 2026 HSC continue under the applicable 2017 syllabus.
Teacher verification note: check the mathematics, notation, permitted technology and syllabus fit for your cohort before classroom or assessment use.
Each question is generated from an existing curriq QDSL archetype at a fixed seed. Marks and catalog content mappings travel with the generated question.
Find the exact value.
Answer: -3/4
Catalog reference: adv_nsb20_exact_cotangent · seed 41001
Give the value in exact radical form.
Answer: -7 (sqrt(50)^(-1))
Catalog reference: adv_pem24_exact_cosine_from_negative_tangent · seed 41001
Give a complete algebraic proof of the identity.
Answer: cos(x) / (sin(x)^2)
Catalog reference: adv_jr24_trigonometric_identity_proof · seed 41001
Use radians, arc length and sector area; understand and apply the unit circle definition of trigonometric functions.
Sketch and interpret trigonometric functions; use Pythagorean, complementary and supplementary identities.
Graph transformations of trigonometric functions; model periodic phenomena.
Examples are deterministic curriq catalog generations from existing QDSL archetypes at the published fixed seed. The generator copies only student-facing prompts, mark allocations, topic mappings, display tables or options, checked answers and marking-path results into this resource.
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