Year 12 HSC Mathematics Extension

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Learn.

Induction.

Sums and series.

  • Arithmetic
  • Geometric
  • Sum of Series
  • Divisibility
  • Financial applications of Series

Functions.

  • Exponential Functions
  • Differentiating Trigonometric Functions
  • Geometry of the First Derivative
  • The Second Derivative & Curve Sketching
  • Applications of Max & Min Values

Vectors.

  • Geometric Vectors
  • Position Vector
  • The Scalar Product
  • Vector Projection
  • Using Vectors in Geometry
  • Questions

Calculus

  • Fundamental Theorems of Calculus
  • Integration of Exp
  • Reciprocal & Trig 

Functions

  • Functions
  • Even & Odd Functions
  • Area Bounded by Curves
  • Area Between Two Graphs
  • Calculating Definite Integrals
  • Physical Applications of Calculus

Motion

  • 2-dimensional motion

Trigonometry

  • Using Compound and Double Angle Formulas
  • Derivatives & Integrals of Inverse Trig Functions
  • Further Trigonometric 

Integration and differentiation

  • Integrals
  • Volumes of Solids of Revolution
  • Differential Equations

Financial

  • Financial Applications of Series
  • Continuous Random Variables Part I
  • Continuous Random Variables Part II

Normal and binomial distribtuon

  • The Normal Distribution
  • The Binomial Distribution

Master.

Sample HSC a & trial exams

  • Sample internal exams

Allow up to 30 seconds for these trials to load.

YearTrial ExaminationDifficulty (1-5)
2021Cheltenham Girls3
2021Caringbah4
2021Fortstreet4
20203
20204
2020Baulkham Hills4
20204

HSC Exams

YearHSC ExaminationHSC Maths Ext 1 Marking Guidelines
2021Math Ext 1 ExamMarking Guidelines from the 2021 HSC
2020Maths Ext 1 ExamMarking Guidelines from the 2020 HSC
2019Maths Ext 1 ExamMarking Guidelines from the 2019 HSC
2018Maths Ext 1 ExamMarking Guidelines from the 2018 HSC
2017Maths Ext 1 ExamMarking Guidelines from the 2017 HSC
2016Maths Ext 1 ExamMarking Guidelines from the 2016 HSC
2015Maths Ext 1 ExamMarking Guidelines from the 2015 HSC
2014Maths Ext 1 ExamMarking Guidelines from the 2014 HSC
2013Maths Ext 1 ExamMarking Guidelines from the 2013 HSC
2012Maths Ext 1 ExamMarking Guidelines from the 2012 HSC
2011Maths Ext 1 ExamMarking Guidelines from the 2011 HSC
2010Maths Ext 1 ExamMarking Guidelines from the 2010 HSC
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