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Grade 11

57 resources across 1 subject

Mathematics

11 topics

📄 57 files🎬 5 videos
Browse Mathematics

📚 Grade 11 lessons by term & topic(23)

Choose your term, then the topic you have been told to study, and you will see every lesson you need to master for it — each one with a printable worksheet and an exam paper with its memo.

Step 1 · Choose a term
Step 2 · Choose a topic in Term 1

Equations and Inequalities

Term 15 lessons to master
Discriminant (Δ) & Nature of RootsThe discriminant is Δ = b² − 4ac, and its sign tells you the nature of the roots before you solve — two real, one equal, or non-real. Each question type worked in full, with a worksheet.14min read · lesson, worksheet & exam paperQuadratic Inequalities (Grade 11)Solving inequalities such as x² − x − 6 > 0 by factorising, finding the critical values, and using a sign table or parabola sketch — with the answer in interval notation.9min read · lesson, worksheet & exam paperSimultaneous Equations: One Linear, One Quadratic (Grade 11)Solving a linear equation together with a quadratic one by substitution, why there are up to two solution pairs, and what those pairs mean on a graph.10min read · lesson, worksheet & exam paperSolving Quadratic Equations: Factorising, Formula and Completing the SquareAll the ways to solve a quadratic — factorising, completing the square, the formula, rearranging first, a leading coefficient, and quadratics hidden in fractions — plus a worked example for each and a full worksheet.15min read · lesson, worksheet & exam paperWord Problems with Quadratics (Grade 11)Turning a sentence into an equation, solving it, and — the step that costs the most marks — rejecting the answer that does not make sense in the context.10min read · lesson, worksheet & exam paper
📖Grade 11 Mathematics: curriculum guide & study tipsRead more ▾

Grade 11 is widely considered the hardest year of high school mathematics — and the most important. Almost every Grade 11 topic is directly examinable in the Grade 12 NSC papers: the trigonometric identities, reduction formulae, circle geometry theorems and quadratic theory learned this year all reappear in matric. Universities also look closely at Grade 11 final marks when making provisional offers, so the November examination carries real weight beyond school.

Topics by term (CAPS, DBE 2026 teaching plan)

Term 1

Exponents and surds, equations and inequalities (completing the square, quadratic inequalities, simultaneous equations, nature of roots), and trigonometry (identities, reduction formulae, trigonometric equations and general solutions).

Term 2

Euclidean geometry (circle theorems), analytical geometry (equation of a line, inclination), functions including trigonometric functions (effects of parameters, average gradient), and the June examination.

Term 3

Trigonometric graphs, the sine, cosine and area rules (problems in two dimensions), statistics (ogives, variance and standard deviation), probability, and finance, growth and decay (nominal and effective rates, depreciation).

Term 4

Number patterns (quadratic sequences), revision of measurement, algebra and trigonometry, and the November examination.

How you'll be assessed

Grade 11 November papers follow the NSC two-paper format: Paper 1 (algebra, functions, finance, probability) and Paper 2 (analytical geometry, trigonometry, Euclidean geometry, statistics), each typically 150 marks over 3 hours in the final examination. Many provinces write common Grade 11 papers, several of which appear on this page with memorandums.

Study tips from the classroom

  • The circle geometry theorems must be known word-perfectly, with their reasons — they are worth marks in both Grade 11 and Grade 12.
  • Build a single summary page of all trig identities and reduction formulae and revise it weekly.
  • Nature-of-roots questions follow predictable patterns; practise every variation from past papers.
  • Do not neglect finance and statistics — they are the most formula-driven, highest-return topics for marks per hour of study.