# Grade 9 Mathematics Notes

> CAPS-aligned Grade 9 Mathematics revision notes, broken down topic by topic with worked examples, diagrams, and key definitions.

- Page: https://www.hlayiso.com/grade-9/mathematics/notes

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## Topics

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

### Number systems and integers

- [Number systems and integers notes](https://www.hlayiso.com/grade-9/mathematics/notes/number-systems-and-integers)
- [Number systems and classification of real numbers](https://www.hlayiso.com/grade-9/mathematics/notes/number-systems-and-integers/number-systems-and-classification-of-real-numbers)
- [Operations with integers and prime factorisation](https://www.hlayiso.com/grade-9/mathematics/notes/number-systems-and-integers/operations-with-integers-and-prime-factorisation)

### Rational numbers

- [Rational numbers notes](https://www.hlayiso.com/grade-9/mathematics/notes/rational-numbers)
- [Fractions, decimals and percentages](https://www.hlayiso.com/grade-9/mathematics/notes/rational-numbers/fractions-decimals-and-percentages)
- [Operations with rational numbers](https://www.hlayiso.com/grade-9/mathematics/notes/rational-numbers/operations-with-rational-numbers)

### Algebraic expressions

- [Algebraic expressions notes](https://www.hlayiso.com/grade-9/mathematics/notes/algebraic-expressions)
- [Simplifying and expanding algebraic expressions](https://www.hlayiso.com/grade-9/mathematics/notes/algebraic-expressions/simplifying-and-expanding-algebraic-expressions)
- [Factorising and algebraic fractions](https://www.hlayiso.com/grade-9/mathematics/notes/algebraic-expressions/factorising-and-algebraic-fractions)

### Exponents

- [Exponents notes](https://www.hlayiso.com/grade-9/mathematics/notes/exponents)
- [Laws of exponents](https://www.hlayiso.com/grade-9/mathematics/notes/exponents/laws-of-exponents)
- [Simplifying exponential expressions](https://www.hlayiso.com/grade-9/mathematics/notes/exponents/simplifying-exponential-expressions)

### Equations

- [Equations notes](https://www.hlayiso.com/grade-9/mathematics/notes/equations)
- [Linear equations and inequalities](https://www.hlayiso.com/grade-9/mathematics/notes/equations/linear-equations-and-inequalities)
- [Simultaneous equations and word problems](https://www.hlayiso.com/grade-9/mathematics/notes/equations/simultaneous-equations-and-word-problems)

### Finance

- [Finance notes](https://www.hlayiso.com/grade-9/mathematics/notes/finance)
- [Simple and compound interest](https://www.hlayiso.com/grade-9/mathematics/notes/finance/simple-and-compound-interest)
- [Hire purchase and exchange rates](https://www.hlayiso.com/grade-9/mathematics/notes/finance/hire-purchase-and-exchange-rates)

### Ratio, rate and proportion

- [Ratio, rate and proportion notes](https://www.hlayiso.com/grade-9/mathematics/notes/ratio-rate-and-proportion)
- [Ratio and rate](https://www.hlayiso.com/grade-9/mathematics/notes/ratio-rate-and-proportion/ratio-and-rate)
- [Direct and inverse proportion](https://www.hlayiso.com/grade-9/mathematics/notes/ratio-rate-and-proportion/direct-and-inverse-proportion)

### Number patterns and graphs

- [Number patterns and graphs notes](https://www.hlayiso.com/grade-9/mathematics/notes/number-patterns-and-graphs)
- [Number patterns and sequences](https://www.hlayiso.com/grade-9/mathematics/notes/number-patterns-and-graphs/number-patterns-and-sequences)
- [Linear graphs and their equations](https://www.hlayiso.com/grade-9/mathematics/notes/number-patterns-and-graphs/linear-graphs-and-their-equations)

### Euclidean geometry

- [Euclidean geometry notes](https://www.hlayiso.com/grade-9/mathematics/notes/euclidean-geometry)
- [Lines, angles and angle relationships](https://www.hlayiso.com/grade-9/mathematics/notes/euclidean-geometry/lines-angles-and-angle-relationships)
- [Properties of triangles and congruence](https://www.hlayiso.com/grade-9/mathematics/notes/euclidean-geometry/properties-of-triangles-and-congruence)

### Measurement, probability and statistics

- [Measurement, probability and statistics notes](https://www.hlayiso.com/grade-9/mathematics/notes/measurement-probability-and-statistics)
- [Area, perimeter, surface area and volume](https://www.hlayiso.com/grade-9/mathematics/notes/measurement-probability-and-statistics/area-perimeter-surface-area-and-volume)
- [Probability and statistics](https://www.hlayiso.com/grade-9/mathematics/notes/measurement-probability-and-statistics/probability-and-statistics)

## Frequently asked questions

### Are the Grade 9 Mathematics notes free?

Each Grade 9 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 9 Mathematics notes are written against the official CAPS curriculum and ATP so you only study what’s examinable.

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