# VCE Further Mathematics: Exam Prep & Study Guide

• Course type: Self-paced
• Available Lessons: 136
• Average Lesson Length: 8 min
• Eligible for Certificate: Certificate completed Yes

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• VCE Further Mathematics: Exam Prep & Study Guide Practice Test

### Course Summary

Boost your understanding of concepts in geometry, trigonometry, statistics, financial mathematics and more with the lessons contained in this extensive study guide. This course covers all of the topics you will be tested on when you take the Victorian Certificate of Education (VCE) Further Mathematics exam.
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#### 21 chapters in VCE Further Mathematics: Exam Prep & Study Guide

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
• Comprehensive test covering all topics
• Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 21)}}
Ch 1. Population & Samples {{cp.topicAssetIdToProgress[304269].percentComplete}}% complete
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Lesson 1 - Difference between Populations & Samples in Statistics
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Lesson 2 - Defining the Difference between Parameters & Statistics
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Lesson 3 - Applying Domain & Range in Real World Settings
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Lesson 4 - Random Selection & Random Allocation: Differences, Benefits & Examples
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Lesson 5 - Simple Random Samples: Definition & Examples
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Ch 2. Categorical Data Representation {{cp.topicAssetIdToProgress[304271].percentComplete}}% complete
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Lesson 1 - What is Categorical Data? - Definition & Examples
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Lesson 2 - Nominal, Ordinal, Interval & Ratio Measurements: Definition & Examples
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Lesson 3 - What is a Two-Way Table?
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Lesson 4 - What is a Frequency Table? - Definition & Examples
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Lesson 5 - What is a Stacked Bar Chart?
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Lesson 6 - Statistical Analysis with Categorical Data
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Ch 3. Numerical Data Representation {{cp.topicAssetIdToProgress[304273].percentComplete}}% complete
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Lesson 1 - What is Quantitative Data? - Definition & Examples
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Lesson 2 - Significant Figures and Scientific Notation
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Lesson 3 - Creating & Interpreting Dot Plots: Process & Examples
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Lesson 4 - Creating & Reading Stem & Leaf Displays
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Lesson 5 - Creating & Interpreting Histograms: Process & Examples
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Lesson 6 - Creating & Interpreting Scatterplots: Process & Examples
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Lesson 7 - Logarithmic Scale: Definition & Overview
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Ch 4. Data Distribution {{cp.topicAssetIdToProgress[304275].percentComplete}}% complete
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Lesson 1 - 5 Number Summary in Statistics
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Lesson 2 - Creating & Interpreting Box Plots: Process & Examples
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Lesson 3 - Mean: Definition & Sample Problems
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Lesson 4 - Calculating the Standard Deviation
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Lesson 5 - What are Center, Shape, and Spread?
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Lesson 6 - Outlier in Statistics: Definition & Explanation
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Lesson 7 - Identifying Outliers: Upper Fence & Lower Fence
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Lesson 8 - Normal Distribution of Data: Examples, Definition & Characteristics
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Lesson 9 - Z-Scores in Statistics Explained: Formula, Overview
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Lesson 10 - Using the Normal Distribution: Practice Problems
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Week {{::cp.getGoalWeekForTopic(6, 21)}}
Ch 7. Linear Relationships {{cp.topicAssetIdToProgress[304285].percentComplete}}% complete
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Lesson 1 - Linear & Nonlinear Relationships in Data Graphs
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Lesson 2 - Transforming Nonlinear Data: Steps & Examples
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Lesson 3 - Writing & Evaluating Real-Life Linear Models: Process & Examples
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Lesson 4 - Linear Regression Model: Definition, Equation & Example
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Lesson 5 - Simple Linear Regression: Definition, Formula & Examples
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Lesson 6 - Line of Best Fit: Definition, Equation & Examples
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Lesson 7 - Analyzing Residuals: Process & Examples
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Lesson 8 - Interpreting the Slope & Intercept of a Linear Model
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Lesson 9 - The Correlation Coefficient: Definition, Formula & Example
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Lesson 10 - Coefficient of Determination: Definition, Formula & Example
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Lesson 11 - Pearson Correlation Coefficient: Formula, Example & Significance
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Lesson 12 - Interpreting Linear Relationships Using Data: Practice Problems
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Week {{::cp.getGoalWeekForTopic(7, 21)}}
Ch 8. Time Series Data {{cp.topicAssetIdToProgress[304287].percentComplete}}% complete
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Lesson 1 - Time Series Plots: Definition & Features
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Lesson 2 - Numerical Smoothing of Time Series Data
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Lesson 3 - Graphical Smoothing of Time Series Data
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Lesson 4 - Interpreting & Calculating Seasonal Indices
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Week {{::cp.getGoalWeekForTopic(9, 21)}}
Ch 10. Concepts of Financial Mathematics {{cp.topicAssetIdToProgress[304307].percentComplete}}% complete
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Lesson 1 - How to Calculate Depreciation Expense: Definition & Formula
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Lesson 2 - How to Find Simple Interest Rate: Definition, Formula & Examples
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Lesson 3 - Compounding Interest Formulas: Calculations & Examples
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Lesson 4 - Nominal Interest Rate: Definition & Equation
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Lesson 5 - Real Interest Rate: Definition & Calculation
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Lesson 6 - How to Calculate Internal Rate of Return: Definition & Formula
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Lesson 7 - How to Calculate Net Present Value: Definition, Formula & Analysis
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Lesson 8 - How to Calculate Future Value: Formula & Example
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Lesson 9 - Calculating Monthly Loan Payments
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Lesson 10 - How to Calculate Mortgage Amortization
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Lesson 11 - How to Solve Problems Involving Reducing Balance Loans
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Lesson 12 - How to Calculate the Present Value of an Annuity
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Lesson 13 - What is a Perpetuity? - Definition & Formula
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Week {{::cp.getGoalWeekForTopic(10, 21)}}
Ch 11. Matrices Overview {{cp.topicAssetIdToProgress[304311].percentComplete}}% complete
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Lesson 1 - What is a Matrix?
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Lesson 2 - Types of Matrices: Definition & Differences
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Lesson 3 - How to Solve Inverse Matrices
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Lesson 4 - Multiplicative Inverses of Matrices and Matrix Equations
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Lesson 5 - How to Take a Determinant of a Matrix
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Lesson 6 - Solving Systems of Linear Equations in Two Variables Using Determinants
Score: {{cp.lessonAssetIdToProgress[21237].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21237].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Solving Systems of Linear Equations in Three Variables Using Determinants
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Lesson 8 - Using the Matrix Recurrence Relation to Generate Sequences
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Lesson 9 - Using the Matrix Recurrence Relation to Model Populations
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Week {{::cp.getGoalWeekForTopic(12, 21)}}
Ch 13. Paths & Circuits {{cp.topicAssetIdToProgress[304331].percentComplete}}% complete
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Lesson 1 - Euler Paths and Euler's Circuits
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Lesson 2 - Mathematical Models of Euler's Circuits & Euler's Paths
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Lesson 3 - Hamilton Circuits and Hamilton Paths
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Lesson 4 - Assessing Weighted & Complete Graphs for Hamilton Circuits
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Lesson 5 - Methods of Finding the Most Efficient Circuit
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Week {{::cp.getGoalWeekForTopic(14, 21)}}
Ch 15. Geometric Solids {{cp.topicAssetIdToProgress[20890].percentComplete}}% complete
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Lesson 1 - Planes and the Polyhedron: Definition and Example
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Lesson 2 - What Are Platonic Solids? - Definition and Types
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Lesson 3 - Prisms: Definition, Area & Volume
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Lesson 4 - Pyramids: Definition, Area & Volume
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Lesson 5 - What Are Cylinders? - Definition, Area & Volume
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Lesson 6 - Cones: Definition, Area & Volume
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Lesson 7 - Spheres: Definition, Area & Volume
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Week {{::cp.getGoalWeekForTopic(15, 21)}}
Ch 16. Measurement & Trigonometry {{cp.topicAssetIdToProgress[304357].percentComplete}}% complete
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Lesson 1 - Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures
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Lesson 2 - Solving Right Triangles Using Trigonometry & the Pythagorean Theorem
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Lesson 3 - Using Sine to Find the Area of a Triangle
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Lesson 4 - Using the Law of Sines to Solve a Triangle
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Lesson 5 - The Ambiguous Case of the Law of Sines
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Lesson 6 - Solving Oblique Triangles Using the Law of Cosines
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Lesson 7 - Compass Bearings: Definition & Types
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Lesson 8 - Solving Real World Problems With Compass Bearings
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Week {{::cp.getGoalWeekForTopic(16, 21)}}
Ch 17. Spherical Geometry {{cp.topicAssetIdToProgress[304363].percentComplete}}% complete
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Lesson 1 - Circles: Area and Circumference
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Lesson 2 - Measure of an Arc: Process & Practice
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Lesson 3 - Arc Length of a Sector: Definition and Area
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Lesson 4 - Solving Right-Angled Triangles Within a Sphere
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Week {{::cp.getGoalWeekForTopic(17, 21)}}
Ch 18. Applications of Spherical Geometry {{cp.topicAssetIdToProgress[304367].percentComplete}}% complete
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Lesson 1 - What is Latitude? - Definition, Calculation & Examples
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Lesson 2 - Longitude: Definition & Examples
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Lesson 3 - What is the Prime Meridian? - Definition, Facts & Location
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Lesson 4 - The Equator, the Tropics of Cancer & Capricorn: Association with Earth-Sun Geometry
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Lesson 5 - Locating Points on the Surface of the Earth
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Lesson 6 - Identifying & Calculating Time Zones
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Week {{::cp.getGoalWeekForTopic(18, 21)}}
Ch 19. Graphs & Relations {{cp.topicAssetIdToProgress[304371].percentComplete}}% complete
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Lesson 1 - Creating & Interpreting Straight-Line & Line Segment Graphs
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Lesson 2 - How to Graph Step Functions
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Lesson 3 - Solving a System of Equations with Two Unknowns
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Lesson 4 - Applying Systems of Linear Equations to Breakeven Point: Steps & Example
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Lesson 5 - Using Nonlinear Functions in Real Life Situations
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Lesson 6 - Modeling With Nonlinear Graphs
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Lesson 7 - Identifying the Constant of Proportionality
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Lesson 8 - Using Graphs to Determine the Constant of Proportionality
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Week {{::cp.getGoalWeekForTopic(19, 21)}}
Ch 20. Linear Programming Overview {{cp.topicAssetIdToProgress[304381].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Graph 1- and 2-Variable Inequalities
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Lesson 2 - Solving Linear Inequalities: Practice Problems
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Lesson 3 - Graphing the Feasible Region of a System of Inequalities
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Lesson 4 - Linear Programs: Types & Examples
Score: {{cp.lessonAssetIdToProgress[264519].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[264519].bestScoreQuestions}}  Take Quiz Optional

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Practice Tests in this course
Check your knowledge of this course with a 50-question practice test. Once you take the test, you will receive a detailed exam report complete with your personal statistics and even specific lessons to focus on! Take the practice test now
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Non-Causal Relationships in Statistics
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Recursion & Financial Modeling
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Graphs & Networks
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