Every section of Mathematics Grade 12, with exam-style question sets and worked answers on each page — 65 sets in 10 sections, 325 questions in the app.
- Algebra, equations & inequalities 3 sets · 76 marks · Paper 1Equations, inequalities & integer exponents · Equations & inequalities
- Counting principle & probability 4 sets · 48 marks · Paper 1Independent events, tree diagrams & arrangements · Venn diagrams & independent events · Fundamental counting principle · Two-way tables, independence & arrangements
- Differential calculus 9 sets · 104 marks · Paper 1First principles, differentiation rules & tangent gradients · Cubic with a repeated root: turning points, sketch & tangent at the point of inflection · Optimisation: minimum area with fixed borders · First principles, rules of differentiation, tangents & inverses · Interpreting cubic graphs · Rates of change (motion) · First principles & rules of differentiation · Cubic graphs: turning points, concavity & intersecting lines · Optimisation (maximum volume)
- Finance, growth & decay 3 sets · 45 marks · Paper 1Nominal & effective rates, depreciation & annuities · Investments, depreciation & loan repayment · Inflation, annuities & deferred loans
- Functions & graphs 8 sets · 102 marks · Paper 1Exponential function on a restricted domain, straight line & inverse · Parabola & hyperbola: product inequality, discriminant & tangency · Exponential functions & graphs · Hyperbola: asymptotes, symmetry & transformation · Parabola, straight line & tangency · Logarithmic function, its inverse & translation · Parabola & hyperbola system: interpretation, intercepts & tangent · Hyperbola & straight line: determining a, p and q
- Number patterns & sequences 6 sets · 75 marks · Paper 1Arithmetic series & quadratic patterns · Geometric series, sigma notation & sum to infinity · Geometric sequences & series · Geometric series & sigma notation · Quadratic patterns
- Analytical geometry 6 sets · 118 marks · Paper 2Right-angled triangle: inclination, parallel line, area & circumcentre · Two circles: common tangent & internal contact · Triangle: gradients, lengths, ratios & areas · Circle: centre, tangents & inscribed angles · Triangle & parallelogram: surd length, inclination, foot of perpendicular & area · Circle: equation, tangents from an external point
- Euclidean geometry 9 sets · 122 marks · Paper 2Circle theorems: proof, cyclic quad in x & chord lengths · Proportion theorem & similar triangles · Tangents & cyclic quads: converse proofs · Cyclic quadrilateral: exterior angle & equal chords · Proportionality theorem & midpoint theorem · Tangent circles: tan-chord, similar triangles & products · Angle at centre theorem: proof & tangent rider · Cyclic quadrilateral: perpendicular chord, parallel chords & diameter · Proportionality, similarity & tangents
- Statistics & regression 6 sets · 60 marks · Paper 2Regression & standard deviation · Grouped data & estimated mean · Regression & correlation · Ogives & the five-number summary · Grouped data, histograms & standard deviation
- Trigonometry 11 sets · 150 marks · Paper 2Exact values, identities, compound-angle deduction & triple angles · Sine & cosine graphs: range on an interval, graphical inequalities & transformations · 3-D problems in terms of parameters: area, sine & cosine rules · Compound & double angles: terminal arm and expressions in terms of p · Identities, reduction formulae & trigonometric equations · Trigonometric graphs & general solutions · Sine rule in 2-D and 3-D problems · Expressions in terms of k, reduction formulae & square-root domains · Identities with reductions & trig arithmetic sequences (general solutions) · Trigonometric graphs & inequalities · Cosine rule in 2-D and 3-D problems