NSWHSC Maths - Extension 1 Past HSC Questions- By Topic

Here you will find all the Past Extension 1 HSC questions broken down into 1 place for efficient studying. Click on the subtopic to take you to the page with all the corresponding topic and sub-topic related Extension 1 HSC Questions. 

Year 11 Extension 1 HSC Topics and Questions

Over the years, the following topics and subtopics have been questions in the Extension 1 HSC. Click on the relevant subtopic to see all the questions in the Extension 1 HSC that have been asked. 

Functions

Inequalities - Quadratic
Inequalities -X In Denominator
Reciprocal Functions
Square Root Functions
Absolute Value Functions
Graphing-Adding Ordinates
Graphing-Multiplying Ordinates
Inverse Functions

Inverse Trig Functions and Identities

Inverse Trig Functions
Double Angle Formulae

Polynomials

Remainder Theorem
Factor Theorem
Roots and Coefficients
Multiplicity of Roots
Polynomial Graphs

Rates of Change

Rates Of Change (Time)
Growth And Decay
Related Rates

Permutations and Combinations

Pigeonhole Principle
Permutations
Identical Objects
Combinations
Applications In Probability
Binomial Theorem

Year 12 Extension 1 HSC Topics and Questions

Over the years, the following topics and subtopics have been questions in the Extension 1 HSC. Click on the relevant subtopic to see all the questions in the Extension 1 HSC that have been asked. 

Trig Equations

Compound Angle Equations
Auxiliary Angle Method

Proof

Series
Divisibility

Differential Equations

Direction Fields
Solving y'=g(y)
Solving y'=f(x)g(y)

Vectors

Vector Basics
Vectors in Component Form
Scalar Product of Vectors
Projection of Vectors

Calculus

Integration by Substitution
Trig Integration
Derivative of Inverse Functions
Integrations That Give Inverse Trig Functions
Volumes of Solids of Revolution

Projectile Motion

Time Equations

Binomial Distribution

Binomial Distribution
Mean and Variance of a Binomial Distribution

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