ATARMAxxing
HSC Mathematics Extension 1Practice Examination 6
| Reading time | 15 minutes |
| Writing time | 2 hours |
| Total marks | 70 |
| Questions | 20 |
| Structure | Section I — 10 Q, 10 marks · Section II — 10 Q, 60 marks |
This paper covers
- The Binomial Distribution (Bin(n,p), exact probabilities, mean/variance, normal approximation to a sample proportion) — the flagged emphasis, ~35/60 marks
- Proof by Mathematical Induction (series identity and divisibility)
- Vectors (dot product, angle between vectors, scalar projection)
- Trigonometric Equations and Further Calculus Skills (inverse-trig differentiation/integration)
- Applications of Calculus (exponential growth/decay modelling)
Students are permitted to bring into the examination the materials normally allowed for this subject. Answer all questions in the spaces provided.
This is an ATARMAxxing practice paper. It is not an official examination and is not affiliated with, endorsed by, or produced by the VCAA, NESA or the QCAA.
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