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Practice Exams
ATAR Calc
Engage Education
Lectures
Legal Studies
HHD
Further Maths
History Revolutions
Chemistry
Maths Methods
Resources
Further Maths Practice Exams
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Data Analysis
Number Patterns
Geometry and Trigonometry
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Business-Related Mathematics
Networks and decision mathematics
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Further Maths
This content is relevant to the study design ending in 2015. It will be updated in the coming weeks to reflect the new study design, but in the meantime there’s still plenty of relevant content, so have a look around!
Resources
Further Maths Practice Exams
Further Maths Cheat Sheets
Data Analysis
Types of Data
Samples
The Mode
The Median
The Mean
Five Number Summary
Standard Deviation
Quartiles and the Interquartile Range
Populations
Bar Charts
Stem Plots
Box Plots
Describing the shape of graphical data
Histograms
The Normal Distribution
Frequency Tables
The Range
Dot plots
Outliers
Dependent and independent variables
Scatterplots
Correlation and Causation
Coefficient of determination
Standard scores and z-scores
Extrapolation and interpolation
Least squares regression line
Three median regression line
Residuals
Time series
Data transformations
Seasonal indices
Smoothing a time series plot
Number Patterns
Recognition of Arithmetic Sequences
Finding the Terms of an Arithmetic Sequence
The Sum of a Finite Arithmetic Sequence
Recognition of Geometric Sequences
Finding the Terms of a Geometric Sequence
The Sum of a Finite Geometric Sequence
Applications of Geometric Sequences
Finding the Sum of an Infinite Geometric Sequence
First Order Difference Equations
Generating the Terms of a Sequence Defined by a First Order Difference Equation
The Relationship Between Arithmetic Sequences and First Order Difference Equations
The Relationship Between Geometric Sequences and First Order Difference Equations
Practical Situations Represented by First Order Difference Equations
Fibonacci Sequences as Second Order Difference Equations
Geometry and Trigonometry
Pythagorean Theorem and Similarity
Right Angled Triangles
Area of a Triangle
Surface area and volume of regular composite solids
The scale factor
Bearings
Angles of elevation and depression
Contour maps
The sine rule
The cosine rule
Graphs and Relations
Gradients
Equation for a straight line
Linear models
Linear segment graphs
Step graphs
Non linear graphs in the form y = kx^n
Inequalities
Feasible regions and objective functions
Business-Related Mathematics
Simple Interest
Compound Interest
Reducing Balance Loans
Hire Purchase Agreement
Reducing Balance and Flat Rate Loan Comparisons
Effective Interest Rate
Annuity Investments
Perpetuities
Bank Accounts
Discounts
Goods and Services Tax
Capital Gain
Straight Line Depreciation
Reducing Balance Depreciation
Unit Cost Depreciation
Inflation
Networks and decision mathematics
Key Terms
Types of Graphs
Undirected Graphs
Complete Graph
Circuits and Sub-Graphs
Adjacency Matrix
Planer Graphs and Euler's Formula
Euler and Hamilton Paths/Circuits
Minimum Spanning Tree
Reachability and Dominance
Critical Paths
Maximum Flow
Bipartite Graphs and Hungarian Algorithm
Matrices
Solving simultaneous linear equations
Transition matrices
Elements of a matrix
Using matrices to represent information
The inverse matrix
Matrix arithmetic: Addition, subtraction and scalar multiplication
Matrix arithmetic: Product of two matrices
More Resources
VCAA Pages
VCAA page for Further Maths
Study design
Past exams and assessment reports for Further Maths
Useful Sites
VCAA Further Maths Formula Sheet
Wolfram Alpha
Revision Resources
Past exams
Engage VCE Revision Lectures