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Maths tutoring
Online Maths tutoring with every topic taught step by step by GradesPal tutors. Every Grade 12 Mathematics topic, taught as a full premium study guide: Paper 1 algebra, patterns, functions, finance, calculus and probability, and Paper 2 statistics, geometry and trigonometry, with every past-paper question solved.
What this subject covers
The GradesPal Grade 12 Mathematics subject follows a term-by-term teaching plan and the way the NSC papers are actually set. Paper 1 covers algebra and equations, number patterns and series, functions and inverses, finance, differential calculus and probability; Paper 2 covers statistics, analytical geometry, trigonometry and Euclidean geometry. Every module teaches the idea from scratch, shows the exam method with worked examples taken from real NSC questions, and ends with an exam clinic and a full set of past-paper questions with the official memo, mark by mark.
- Modules
- 11
- Lessons
- 72
- Study time
- 90h 50m
- Learners
- 3
- Solve every Paper 1 and Paper 2 question type with a clear, mark-winning method
- Recognise how each topic is tested in the NSC papers and where marks are lost
- Write geometry proofs and trigonometric identities with the reasons the memo wants
- Mark your own work against official memos and find your weak topics
Subject content
01Module 1 · Algebra: equations, inequalities, exponents and surds
Quadratic equations: factors, the formula and the discriminantAlgebra70 min Inequalities: critical values, sign diagrams and interval notationAlgebra60 min Exponents, surds and special products: the exam's favourite algebra tricksAlgebra70 min Equations with square roots and simultaneous equationsAlgebra65 min Exam clinic: how Question 1 is built, and a full mockAlgebra50 min Past-paper questions: Algebra (with memos)Algebra80 min
02Module 2 · Sequences and series
Arithmetic sequences and series: Tₙ, Sₙ and sigma notationSequences and Series70 min Geometric sequences and series: Sₙ, convergence and S∞Sequences and Series75 min Quadratic number patterns: first and second differencesSequences and Series70 min Sequences in context: choosing the right model and solving the storySequences and Series60 min Exam clinic: how sequences and series are tested, and a full mockSequences and Series45 min Past-paper questions: Sequences and series (with memos)Sequences and Series80 min
03Module 3 · Functions and inverse functions
Parabolas and straight lines: features, equations and the vertical distanceFunctions and Inverse Functions75 min The hyperbola: asymptotes, intercepts, symmetry and domainFunctions and Inverse Functions70 min Exponential and logarithmic functions and their graphsFunctions and Inverse Functions75 min Inverse functions: swopping x and y, restricting domains and reflecting in y = xFunctions and Inverse Functions65 min Reading and transforming graphs: translations, reflections, domain, range and solutionsFunctions and Inverse Functions60 min Exam clinic: how functions are tested, and a full mockFunctions and Inverse Functions50 min Past-paper questions: Functions (with memos)Functions and Inverse Functions100 min
04Module 4 · Finance, growth and decay
Growth and decay: simple and compound interest, depreciation and finding i, n and rFinancial Mathematics65 min Future value annuities: saving every month and sinking fundsFinancial Mathematics65 min Present value annuities: loans, home loans and how long they takeFinancial Mathematics80 min Combined finance problems: timelines, two-stage plans and changing ratesFinancial Mathematics60 min Exam clinic: how finance is tested, and a full mockFinancial Mathematics45 min Past-paper questions: Finance (with memos)Financial Mathematics60 min
05Module 5 · Differential calculus
The derivative from first principles: from the secant to the tangentDifferential Calculus70 min Rules of differentiation: powers, roots, fractions and bracketsDifferential Calculus65 min Tangents and normals: gradients, angles of inclination and finding constantsDifferential Calculus65 min Cubic functions: shape, the factor theorem and finding the equationDifferential Calculus75 min Analysing a cubic: turning points, increasing and decreasing, concavity and inflectionDifferential Calculus80 min Optimisation: finding the maximum or minimum in a real problemDifferential Calculus65 min Rates of change: speed, acceleration and the derivative in contextDifferential Calculus65 min Exam clinic: how calculus is tested, and a full mockDifferential Calculus55 min Past-paper questions: Differential calculus (with memos)Differential Calculus100 min
06Module 6 · Probability and counting
Probability rules: events, mutually exclusive and independentProbability60 min Venn diagrams, tables and tree diagramsProbability70 min Counting: the fundamental counting principle, factorials and arrangementsProbability70 min Exam clinic: how probability and counting are tested, and a full mockProbability45 min Past-paper questions: Probability and counting (with memos)Probability60 min
07Module 7 · Statistics
Measures of centre and spread: mean, median, quartiles and standard deviationStatistics65 min Cumulative frequency (ogives) and box-and-whisker diagramsStatistics60 min Scatter plots, the least squares regression line and correlationStatistics70 min Exam clinic: how statistics is tested, and a full mockStatistics45 min Past-paper questions: Statistics (with memos)Statistics50 min
08Module 8 · Analytical geometry
Lines in the plane: distance, midpoint, gradient, angle of inclination and area ratiosAnalytical Geometry75 min The circle: equation, centre and radius, and circles through given pointsAnalytical Geometry70 min Tangents, lines meeting circles and two intersecting circlesAnalytical Geometry75 min Exam clinic: how analytical geometry is tested, and a full mockAnalytical Geometry45 min Past-paper questions: Analytical geometry (with memos)Analytical Geometry70 min
09Module 9 · Trigonometry
Ratios in all four quadrants, reduction formulas and 'in terms of p'Trigonometry65 min Compound angles and double angles: derive, expand, collapseTrigonometry70 min Proving identities and finding where they are undefinedTrigonometry60 min Solving trigonometric equations and general solutionsTrigonometry75 min Trigonometric graphs: shape, transformations and reading intersectionsTrigonometry70 min The sine, cosine and area rules: proofs, 2D and 3D problemsTrigonometry80 min Exam clinic: how trigonometry is tested, and a full mockTrigonometry50 min Past-paper questions: Trigonometry (with memos)Trigonometry90 min
10Module 10 · Euclidean geometry
Circle-geometry theorems and the art of giving reasonsEuclidean Geometry75 min Proving the theorems: construction, given, required to proveEuclidean Geometry70 min Proving cyclic quadrilaterals and tangents: the converse theoremsEuclidean Geometry65 min Similar triangles and proportion: proving similarity and calculating lengthsEuclidean Geometry70 min The long riders: chaining results to prove an algebraic statementEuclidean Geometry70 min Exam clinic: how Euclidean geometry is tested, and a full mockEuclidean Geometry50 min Past-paper questions: Euclidean geometry (with memos)Euclidean Geometry90 min
11Module 11 · Exam preparation
How the Grade 12 Mathematics papers are built, and how to scoreExam preparation45 min A four-week revision plan, with a checklist for every topicExam preparation40 min Full paper: Mathematics Paper 1, May/June 2024 (with memo)Exam preparation180 min Full paper: Mathematics Paper 2, May/June 2024 (with memo)Exam preparation180 min Full paper: Mathematics Paper 1, November 2024 (with memo)Exam preparation180 min Full paper: Mathematics Paper 2, November 2024 (with memo)Exam preparation180 min Full paper: Mathematics Paper 1, May/June 2026 (with memo)Exam preparation180 min Full paper: Mathematics Paper 2, May/June 2026 (with memo)Exam preparation180 min
Frequently asked questions
Who is my tutor?
When you join you are matched with one of the subject's GradesPal tutors. Their notes appear in your lessons.
Does this cover both Paper 1 and Paper 2?
Yes. Paper 1 and Paper 2 are 150 marks each, and the modules follow the order they are taught in school.
Are the past papers included?
Yes. Every module ends with the real NSC questions on that topic, with the official memo broken into the marks awarded.