# Grade 11 Mathematics Notes

> CAPS-aligned Grade 11 Mathematics revision notes, broken down topic by topic with worked examples, diagrams, and key definitions.

- Page: https://www.hlayiso.com/grade-11/mathematics/notes

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## Topics

Each section has a free preview; the full notes are in the free Hlayiso account.

### Algebraic expressions, equations and inequalities

- [Algebraic expressions, equations and inequalities notes](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities)
- [Exponents & Surds](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/exponents-and-surds)
- [Completing the Square & Quadratic Equations](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/completing-the-square-and-quadratic-equations)
- [Quadratic Inequalities](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/quadratic-inequalities)
- [Simultaneous Equations & Nature of Roots](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/simultaneous-equations-and-nature-of-roots)

### Number patterns

- [Number patterns notes](https://www.hlayiso.com/grade-11/mathematics/notes/number-patterns)
- [Quadratic Number Patterns](https://www.hlayiso.com/grade-11/mathematics/notes/number-patterns/quadratic-number-patterns)

### Finance, growth and decay

- [Finance, growth and decay notes](https://www.hlayiso.com/grade-11/mathematics/notes/finance-growth-and-decay)
- [Simple & Compound Growth](https://www.hlayiso.com/grade-11/mathematics/notes/finance-growth-and-decay/simple-and-compound-growth)
- [Simple & Compound Decay](https://www.hlayiso.com/grade-11/mathematics/notes/finance-growth-and-decay/simple-and-compound-decay)
- [Nominal & Effective Interest Rates](https://www.hlayiso.com/grade-11/mathematics/notes/finance-growth-and-decay/nominal-and-effective-interest-rates)

### Functions and graphs

- [Functions and graphs notes](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs)
- [The Parabola: y = a(x + p)² + q](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/the-parabola-y-ax-p-q)
- [The Hyperbola: y = a/(x + p) + q](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/the-hyperbola-y-ax-p-q)
- [The Exponential Function: y = a·b^(x+p) + q](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/the-exponential-function-y-abxp-q)
- [Average Gradient of a Curve](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/average-gradient-of-a-curve)
- [Trigonometric Functions and Their Graphs](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/trigonometric-functions-and-their-graphs)

### Probability

- [Probability notes](https://www.hlayiso.com/grade-11/mathematics/notes/probability)
- [Venn Diagrams & the Addition Rule](https://www.hlayiso.com/grade-11/mathematics/notes/probability/venn-diagrams-and-the-addition-rule)
- [Independent & Dependent Events](https://www.hlayiso.com/grade-11/mathematics/notes/probability/independent-and-dependent-events)
- [Tree Diagrams & Contingency Tables](https://www.hlayiso.com/grade-11/mathematics/notes/probability/tree-diagrams-and-contingency-tables)

### Statistics

- [Statistics notes](https://www.hlayiso.com/grade-11/mathematics/notes/statistics)
- [Measures of Central Tendency & Dispersion](https://www.hlayiso.com/grade-11/mathematics/notes/statistics/measures-of-central-tendency-and-dispersion)
- [Ogives & Frequency Polygons](https://www.hlayiso.com/grade-11/mathematics/notes/statistics/ogives-and-frequency-polygons)
- [Variance, Standard Deviation & Outliers](https://www.hlayiso.com/grade-11/mathematics/notes/statistics/variance-standard-deviation-and-outliers)

### Analytical Geometry

- [Analytical Geometry notes](https://www.hlayiso.com/grade-11/mathematics/notes/analytical-geometry)
- [Distance, Midpoint & Gradient](https://www.hlayiso.com/grade-11/mathematics/notes/analytical-geometry/distance-midpoint-and-gradient)
- [Equations of Lines & Inclination](https://www.hlayiso.com/grade-11/mathematics/notes/analytical-geometry/equations-of-lines-and-inclination)

### Trigonometry

- [Trigonometry notes](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry)
- [Trigonometric Identities](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry/trigonometric-identities)
- [Reduction Formulae](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry/reduction-formulae)
- [Trigonometric Equations and General Solutions](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry/trigonometric-equations-and-general-solutions)
- [Sine, Cosine and Area Rules](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry/sine-cosine-and-area-rules)
- [2D Problems Using Trigonometric Rules](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry/2d-problems-using-trigonometric-rules)

### Euclidean Geometry

- [Euclidean Geometry notes](https://www.hlayiso.com/grade-11/mathematics/notes/euclidean-geometry)
- [Circle Theorems — Chords & Angles](https://www.hlayiso.com/grade-11/mathematics/notes/euclidean-geometry/circle-theorems-chords-and-angles)
- [Cyclic Quadrilaterals](https://www.hlayiso.com/grade-11/mathematics/notes/euclidean-geometry/cyclic-quadrilaterals)
- [Tangent Theorems & Riders](https://www.hlayiso.com/grade-11/mathematics/notes/euclidean-geometry/tangent-theorems-and-riders)

## Frequently asked questions

### Are the Grade 11 Mathematics notes free?

Each Grade 11 Mathematics note section has a free preview on Hlayiso. Create a free Hlayiso account to read the full notes on the web or in the app; the free plan has daily limits.

### Are the notes aligned with CAPS and the ATP?

Yes. All Grade 11 Mathematics notes are written against the official CAPS curriculum and ATP so you only study what’s examinable.

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