# Mathematics (MAT) notes

> CAPS-aligned study notes for Mathematics (MAT) in Grade 12 Nbt Prep. Browse the sections below for explanations, worked examples and exam preparation.

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## Sections in Mathematics (MAT)

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- [Introduction to the MAT Test](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/introduction-to-the-mat-test) — The National Benchmark Test: Mathematics (MAT) The National Benchmark Tests (NBTs) are standardised assessments that measure your readiness for university-level study. South African universities use…
- [Real Numbers, Surds, and Exponents](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/real-numbers-surds-and-exponents) — Real Numbers, Surds and Exponents The MAT places heavy emphasis on number sense and your ability to manipulate expressions involving surds, exponents, and logarithms without a calculator. Strong…
- [Patterns, Sequences, and Series](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/patterns-sequences-and-series) — Patterns, Sequences and Series Pattern recognition is a core skill tested in the MAT. You need to identify arithmetic sequences, geometric sequences, and non-standard patterns quickly, and apply the…
- [Ratios, Proportions, and Percentages](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/ratios-proportions-and-percentages) — Ratios, Proportions and Percentages These topics form the backbone of quantitative reasoning in the MAT. While ratios and percentages are taught in earlier grades, the MAT tests them at a much deeper…
- [Algebraic Equations and Inequalities](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/algebraic-equations-and-inequalities) — Algebraic Equations and Inequalities Algebraic manipulation forms the single largest topic area in the MAT. You need to solve equations and inequalities confidently, factorise efficiently, and…
- [Functions and Their Properties](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/functions-and-their-properties) — Functions and Their Properties Functions are at the heart of the MAT. You need a deep understanding of function notation, domain and range, composition, and inverses. MAT questions expect you to work…
- [Transformations of Functions](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/transformations-of-functions) — Transformations of Functions Understanding how algebraic changes to a function's equation affect its graph is essential for the MAT. You need to instantly recognise the effect of adding, multiplying,…
- [Graphs and Their Equations](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/graphs-and-their-equations) — Graphs and Their Equations The MAT requires you to move fluidly between equations and their graphs. You must be able to read an equation and sketch the graph, or look at a graph and write its…
- [Trigonometry](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/trigonometry) — Trigonometry Trigonometry is heavily tested in the MAT, covering definitions, identities, equations, and graphs. You need to be fluent with the unit circle, reduction formulae, compound angles, and…
- [2D and 3D Geometry](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/2d-and-3d-geometry) — 2D and 3D Geometry The MAT includes questions on both 2D shapes (circles, triangles, polygons) and 3D objects (prisms, pyramids, cones, spheres). You need to know area and volume formulae, properties…
- [Analytical Geometry](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/analytical-geometry) — Analytical Geometry Analytical (coordinate) geometry combines algebra with geometry on the Cartesian plane. The MAT tests your ability to work with distance, midpoints, gradients, equations of lines…
- [Data Handling and Statistics](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/data-handling-and-statistics) — Data Handling and Statistics The MAT includes questions on data analysis, measures of central tendency, dispersion, and probability. You need to interpret data quickly from tables, graphs, and…
- [Logical Reasoning and Problem Solving](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/logical-reasoning-and-problem-solving) — Logical Reasoning and Problem Solving The MAT includes questions that test your mathematical reasoning — the ability to think logically, work with unfamiliar problems, and apply mathematical concepts…
- [MAT Practice Strategies and Tips](https://www.hlayiso.com/grade-12/nbt-prep/notes/mathematics-mat/mat-practice-strategies-and-tips) — MAT Practice Strategies and Tips Knowing the mathematics is only half the battle — you also need a solid test strategy. The MAT has 60 questions in 3 hours, giving you an average of 3 minutes per…

## Other Nbt Prep topics

- [Quantitative Literacy (QL)](https://www.hlayiso.com/grade-12/nbt-prep/notes/quantitative-literacy-ql)
- [Academic Literacy (AL)](https://www.hlayiso.com/grade-12/nbt-prep/notes/academic-literacy-al)

## Frequently asked questions

### What is covered in Mathematics (MAT) for Grade 12 Nbt Prep?

The Mathematics (MAT) section covers all key concepts from the Grade 12 Nbt Prep CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Mathematics (MAT) notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### How do these notes help with exam preparation?

Our Mathematics (MAT) notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 12 Nbt Prep exams.

### Are there quizzes for Mathematics (MAT)?

Yes. Hlayiso has quizzes for Mathematics (MAT) in Grade 12 Nbt Prep. Test your understanding after reading the notes.

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