π
∞
∑
∫
θ
E = mc²
y = mx+b
√
Δ
φ
∇
λ
← Home

Grade 11

59 resources across 2 subjects

Mathematics

11 topics

📄 57 files🎬 5 videos
Browse Mathematics

Technical Mathematics

1 topics

📄 2 files
Browse Technical Mathematics

📚 Grade 11 lessons(20)

Every lesson is one focused sub-topic, worked in full, with a printable worksheet and an exam paper with its memo.

Term 1

Exponent Laws & Exponential Equations (Grade 11)The exponent laws including rational exponents, simplifying expressions with different bases, and solving exponential equations by making the bases the same or by factorising.11min 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 paperQuadratic Number Patterns (Grade 11 & 12)Recognising a quadratic pattern from its constant second difference, finding Tₙ = an² + bn + c, and answering the standard NSC follow-ups about which term equals a given value.11min 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 usually two solution pairs, and what those pairs mean on a graph.10min read · lesson, worksheet & exam paperSolving Quadratic Equations: Every Method & TypeAll the ways to solve a quadratic — factorising, 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 paperSurds: Simplifying & Rationalising (Grade 11)Simplifying surds using perfect-square factors, adding and subtracting like surds, multiplying them out, and rationalising a denominator — including the conjugate method.10min read · lesson, worksheet & exam paperThe Discriminant & Nature of Roots: Full Guideb^2 − 4ac reveals everything about a quadratic's roots before you solve. Every exam type — classifying roots, rational vs irrational, and finding k for equal / real / non-real roots — worked in full, with a worksheet.14min read · lesson, worksheet & exam paperTrig Equations & General Solutions (Grade 11)Finding the reference angle, writing the general solution with + k·360° or + k·180°, and then listing the specific solutions that fall inside a given interval.12min read · lesson, worksheet & exam paperTrig Identities & Reduction Formulae: Full GuideThe identities and reduction rules that crack Paper 2 trig — simplifying, proving identities, using the CAST diagram, reducing angles and finding exact values — each worked in full, with a 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

Term 2

Analytical Geometry: Lines & Inclination (Grade 11)Equation of a line through two points, lines parallel and perpendicular to a given line, and the angle of inclination θ where m = tanθ.11min read · lesson, worksheet & exam paperCircle Geometry: Every Theorem, With ExamplesThe theorems that decide Paper 2 marks — centre vs circumference, semicircle, same segment, cyclic quadrilateral, tangent–radius and tangent–chord — each with the reason to quote, a worked example, a diagram and a worksheet.15min read · lesson, worksheet & exam paperHyperbola & Exponential Graphs (Grade 11)y = a/(x + p) + q and y = a·b^x+p + q — locating the asymptotes, finding intercepts, sketching, and stating domain and range.12min read · lesson, worksheet & exam paperThe Parabola: y = a(x + p)² + q (Grade 11)The turning-point form of the parabola, what a, p and q each do to the graph, finding intercepts and the axis of symmetry, and writing down domain and range.12min read · lesson, worksheet & exam paper

Term 3

Finance: Growth & Decay (Grade 11)Compound growth and decay, straight-line versus reducing-balance depreciation, different compounding periods, and the difference between a nominal and an effective interest rate.12min read · lesson, worksheet & exam paperProbability: Venn Diagrams & Rules (Grade 11)The addition rule, mutually exclusive and complementary events, reading and filling in Venn diagrams, and testing whether two events are independent.11min read · lesson, worksheet & exam paperSine, Cosine & Area Rules (Grade 11)Choosing between the sine rule, the cosine rule and the area rule for non-right-angled triangles, and applying them to two-dimensional problems.12min read · lesson, worksheet & exam paperStatistics: Spread, Ogives & Box Plots (Grade 11)The five-number summary and box-and-whisker diagram, variance and standard deviation, drawing and reading an ogive, recognising skewness, and identifying outliers.13min read · lesson, worksheet & exam paperTree Diagrams & Two-Way Tables (Grade 11)Drawing a two-stage tree diagram, the difference between drawing with and without replacement, reading a two-way contingency table, and testing independence from one.11min read · lesson, worksheet & exam paperTrigonometric Graphs (Grade 11)y = a sin(kx + p), y = a cos(kx + p) and y = a tan(kx + p) — amplitude, period, horizontal shift, asymptotes, and reading the graphs to answer questions.13min 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)

Term 1

Exponents and surds, equations and inequalities (completing the square, quadratic inequalities, simultaneous equations, nature of roots), and Euclidean geometry (circle theorems).

Term 2

Functions (effects of parameters, average gradient), trigonometry (identities, reduction formulae, trigonometric equations), and the June examination.

Term 3

Trigonometry continued (sine, cosine and area rules; 2D and 3D problems), analytical geometry (equation of a line, inclination), finance (nominal vs effective rates, depreciation), and probability.

Term 4

Statistics (ogives, variance and standard deviation), measurement, revision, 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.