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HomeGrade 11Mathematics

Grade 11Mathematics

🗓️Past Papers & Memos by Term

🧭 Practise by Topic

📚 Grade 11 Mathematics lessons(20)

Each lesson covers one sub-topic 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

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📖How to use these Grade 11 Mathematics resourcesRead more ▾

Mathematics in the CAPS curriculum is a cumulative subject: each year builds directly on the last, and each term's work feeds into the next. The resources below are organised the same way your school year is — by term — so you can revise exactly what will be assessed next. Term cards contain full tests and examinations with their memorandums; topic cards collect papers and worksheets that focus on one area of the curriculum.

The most effective way to use this page is simple. Before a test or exam, open the matching term card, download a paper, and write it under timed conditions without looking at the memo. Then mark yourself honestly, identify the question types you lost marks on, and redo those questions a few days later. Learners who repeat this cycle three or four times before an exam consistently outperform those who only read through notes.

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. See the full Grade 11 curriculum guide →