VCE Mathematical Methods Units 3/4 Question Bank
The VCE Maths Methods Units 3/4 Questionbank is the ultimate source for practice questions, exam questions, and past paper questions, covering all AOS 1, AOS 2, and AOS 3 and AOS 4 topics. Each question includes clear solutions and step-by-step explanations, making it an ideal revision resource for SAC preparation, practice exams, and mock exams.
AOS 1 and AOS 2
Functions, relations and algebra
All Functions, relations and algebra
Complete collection of questions covering all function types and algebraic concepts
Linear equations and coordinate geometry
Literal equations, Coordinate geometry, Zero, one or infinite solutions to simultaneous equations
Polynomials
Quadratics, Cubics, Factor and remainder theorems, Higher degree polynomial functions
Exponential and logarithmic functions
Exponent-log functions & Graphs, Asymptotes, Intercepts, Solving exponent-log equations, Applications
Rational functions (hyperbola and truncus)
Hyperbola, Truncus, Horizontal & Vertical Asymptotes, Intercepts, Sketching
Further functions
Power functions, Square root function, Circles, Sums and products of functions, Addition of ordinates
Inverse and composite functions
Definition of an inverse and composite, Existence of the inverse or composite, Domain and range, Applications
Transformations
Translations / Shifts, Reflections, Dilations From Axes (Stretches), Graphs
Circular functions
Trigonometric Functions, The Unit Circle, Trig Ratios, Solving Trig Equations, General solution, Trig Graphs, Applications
AOS 3
Calculus
All calculus
Complete collection of calculus questions covering both differential and integral calculus
Differential calculus
Differentiation Rules, Gradients, Tangents/Normals, Max & Mins, Points of Inflection, Optimisation, Average rate of change, Newtons method
Integral calculus
Integration Rules, Definite/Indefinite, Areas Under/Between Curves, Substitution, Inspection, Average value, Trapezium rule
AOS 4
Probability and statistics
All probability and statistics
Complete collection of probability and statistics questions
Discrete random variables
Discrete Probability Distributions, Conditional probability and independence, Binomial distribution, Expected value (mean), Standard deviation, Variance
Continuous random variables
Probability density functions, Normal distribution, 68–95–99.7% rule, Mean and variance, Standardisation
Statistical inference
Populations and samples, Confidence intervals, Mean and standard deviation
Pseudocode and computational thinking
Algorithm design, sequencing, decision making, repetition, abstraction, decomposition, pattern