Mathematics
CAPS-aligned Mathematics practice for Grade 12 — 4 terms, 14 topics, with instant feedback, streaks and a leaderboard.
Term 1
Sequences, Series and Sigma Notation
Arithmetic and geometric sequences, finite and infinite series, and sigma notation fluency.
Functions and Inverse Functions
Function definition, one-to-one relations, inverse functions and graph symmetry about y = x.
Exponential and Logarithmic Functions in Finance
Logarithm meaning, exponential graphs, growth and decay, and financial applications of logs.
Trigonometry: Identities and Equations
Compound-angle identities, double-angle identities, simplification and trig equations.
Term 2
Trigonometry in Two and Three Dimensions
2D and 3D trig modelling, sine and cosine rules, area rule and angle interpretation.
Polynomial Functions
Factor theorem, remainder theorem, cubic factorisation and links between roots and graphs.
Differential Calculus
First principles, derivative rules, tangents, stationary points, optimisation and rates of change.
Analytical Geometry of the Circle
Equation of a circle, tangents, diameters, gradients and coordinate geometry with circles.
Term 3
Euclidean Geometry
Similarity, proportional reasoning, parallel-line theorems and formal proof steps.
Statistics: Regression and Correlation
Scatter plots, regression lines, interpolation, extrapolation and interpreting correlation.
Counting and Probability
Fundamental counting principle, Venn diagrams, tree diagrams, contingency tables and compound events.
Term 4
Paper 1 Consolidation
Integrated Paper 1 revision across patterns, functions, finance, calculus and probability.
Paper 2 Geometry and Trigonometry Revision
Paper 2 revision focused on Euclidean geometry, circle facts and trigonometry.
Paper 2 Analytical Geometry and Statistics Revision
Paper 2 revision across analytical geometry, circle work, regression and correlation.
Ready to start practicing Mathematics?