VCE General Mathematics study guide
VCE General Mathematics · Work through your exam, one topic at a time.
VCE General Mathematics is a Victorian Certificate of Education study, with an accreditation period from 2023 as published by the Victorian Curriculum and Assessment Authority. It is designed for senior secondary students who want to apply mathematics in practical, real-world contexts rather than pursue a heavily theoretical pathway. The VCE General Mathematics study guide has 4 sections and about 1,812 words.
01Data Analysis: Displaying, Summarising and Comparing Data
You must be fluent with the vocabulary of one- and two-variable data: categorical (nominal or ordinal) versus numerical (discrete or continuous) variables; frequency and percentage frequency tables; and the standard displays - dot plots, stem-and-leaf plots, histograms, bar charts, segmented bar charts, parallel boxplots and scatterplots. Know how to describe a distribution by shape (symmetric, positively skewed, negatively skewed), centre (mean, median, mode), spread (range, interquartile range, standard deviation) and outliers.
346 words, about 2 min02Probability and Statistics: Chance, Conditional Probability and Inference
You need solid command of sample spaces, events and the classical, relative-frequency and subjective interpretations of probability. Know the addition rule for mutually exclusive events, the multiplication rule for independent events, and the complement rule P(A′) = 1 − P(A).
341 words, about 2 min03Algebra, Number and Structure: Expressions, Equations and Sequences
This domain rewards precision with symbols. You must manipulate algebraic expressions confidently: expanding brackets, factorising common factors and quadratics, simplifying algebraic fractions, and applying index laws including negative and fractional indices.
363 words, about 2 min04Functions, Relations and Graphs: Modelling Change
You must recognise and work with the standard function families: linear, quadratic, power, exponential, logarithmic, and piecewise/hybrid functions. Know how to find domain and range from a rule and from a graph, identify intercepts, turning points and asymptotes, and use transformations - translations, dilations and reflections - to move between a base graph and its image.
762 words, about 4 min