Sample some of the past VCAA Maths Methods exam video solutions. Click on a Main topic below to view the exam question and it’s solution on the next page.

## Maths Methods Main Topics & Sub Topics

Domain and Range

Composite functions, Domain & Range, Finding the rule of a function, Inverse functions, Quadratics, Sketching Graphs, Solving for pronumeral, True or false.

Linear Relations

Domain and Range, Co-ordinate Geometry, Matrices, Finding the Value of Pronumerals.

Families of Functions

Addition of Ordinates, Asymptotes, Composite functions, Domain and Range, Finding Co-ordinates, find the Value of Pronumerals, Inverse functions, Sketching Graphs, Transformations.

Polynomials

Factor Theorem, Remainder Theorem, Finding Coefficients, finding Factors, Finding Pronumerals, Finding the Rule of a function, Inverse functions, Solving Equations.

Logs & Exponentials

Composite functions, Domain & Range, Finding Pronumerals, finding the Rule, Graphs, Inverse functions, Points of Intersection, Simplifying Expressions, Solving Equations, Transformations, True or False.

Circular Functions

Domain & Range, Find the Rule of a function, find Amplitude, Period & Range, Finding the Value of Pronumerals, finding Maximum and Minimum Values, Sketching Graphs, Solving Equations, Transformations.

Differentiation Basics

the Chain Rule, Gradients, Graphs, the Product Rule, the Quotient Rule, Rates of Change, Solving Equations, True or False.

Applications of Differentiation

Equations of Curves, Exponentials, find Pronumerals, Gradients, Graphs, Inverse Functions, Linear Approximations, Logarithms, Maximum and Minimum problems, Rates of Change, Related Rates, Stationary Points, True or False.

Integration

Alternative Form, Area between a Graph and the X0axis, Area between 2 Graphs, Area using Rectangles, Average Vale, Find f(x) from f'(x), find an Antiderivative, find Expression from Graph, find Value of Expression, find the Point of Intersections, find Pronumerals.

Combinations

Discrete Probability Distributions

Conditional Probability, Expected Value, find Probability, find Pronumerals, find Variance, Graphs, Independant Probability, Median, Mutually Exclusive, Probability from Tables, Rules of Probability, True or False.

Markov Chains

Binomial Distribution

Conditional Probability, Expected Value, Find n and/or p, find Probability, find Standard Deviation, find Variance, Graphs.

Probability Density Functions

Conditional, find Expected Value, find Median, find Prob, find Pronumeral, find Value of Expression.

The Normal Distribution

Find alternative Form of Probability, find Pronumerals, find Standard Deviation.

Sampling Distributions

Find Probability of Sample Proportion, find Sample Proportion.

## Combined Topics

Extended Response

See individual year’s exam for the topics and sub topics within the extended response questions.