# Grade 10 Technical Mathematics Notes > CAPS-aligned Grade 10 Technical Mathematics revision notes, broken down topic by topic with worked examples, diagrams, and key definitions. - Page: https://www.hlayiso.com/grade-10/technical-mathematics/notes Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 10](https://www.hlayiso.com/grade-10) › [Technical Mathematics](https://www.hlayiso.com/grade-10/technical-mathematics) › [Notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes) ## Topics Each section has a free preview; the full notes are in the free Hlayiso account. ### Number systems - [Number systems notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/number-systems) - [Rational numbers and conversions](https://www.hlayiso.com/grade-10/technical-mathematics/notes/number-systems/rational-numbers-and-conversions) - [Binary and complex numbers](https://www.hlayiso.com/grade-10/technical-mathematics/notes/number-systems/binary-and-complex-numbers) - [Surds and rounding](https://www.hlayiso.com/grade-10/technical-mathematics/notes/number-systems/surds-and-rounding) ### Exponents - [Exponents notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/exponents) - [Laws of exponents](https://www.hlayiso.com/grade-10/technical-mathematics/notes/exponents/laws-of-exponents) - [Exponential equations](https://www.hlayiso.com/grade-10/technical-mathematics/notes/exponents/exponential-equations) - [Scientific notation](https://www.hlayiso.com/grade-10/technical-mathematics/notes/exponents/scientific-notation) ### Algebraic expressions - [Algebraic expressions notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/algebraic-expressions) - [Notation and algebraic operations](https://www.hlayiso.com/grade-10/technical-mathematics/notes/algebraic-expressions/notation-and-algebraic-operations) - [Factorisation](https://www.hlayiso.com/grade-10/technical-mathematics/notes/algebraic-expressions/factorisation) - [Algebraic fractions](https://www.hlayiso.com/grade-10/technical-mathematics/notes/algebraic-expressions/algebraic-fractions) ### Equations and inequalities - [Equations and inequalities notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/equations-and-inequalities) - [Linear equations and fractions](https://www.hlayiso.com/grade-10/technical-mathematics/notes/equations-and-inequalities/linear-equations-and-fractions) - [Quadratic equations by factorisation](https://www.hlayiso.com/grade-10/technical-mathematics/notes/equations-and-inequalities/quadratic-equations-by-factorisation) - [Simultaneous equations and word problems](https://www.hlayiso.com/grade-10/technical-mathematics/notes/equations-and-inequalities/simultaneous-equations-and-word-problems) - [Linear inequalities](https://www.hlayiso.com/grade-10/technical-mathematics/notes/equations-and-inequalities/linear-inequalities) ### Trigonometry - [Trigonometry notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/trigonometry) - [Trigonometric ratios and reciprocals](https://www.hlayiso.com/grade-10/technical-mathematics/notes/trigonometry/trigonometric-ratios-and-reciprocals) - [Trigonometric ratios in quadrants](https://www.hlayiso.com/grade-10/technical-mathematics/notes/trigonometry/trigonometric-ratios-in-quadrants) - [Trigonometric equations and 2D problems](https://www.hlayiso.com/grade-10/technical-mathematics/notes/trigonometry/trigonometric-equations-and-2d-problems) - [Trigonometry graphs](https://www.hlayiso.com/grade-10/technical-mathematics/notes/trigonometry/trigonometry-graphs) ### Euclidean geometry - [Euclidean geometry notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/euclidean-geometry) - [Lines, angles and triangles](https://www.hlayiso.com/grade-10/technical-mathematics/notes/euclidean-geometry/lines-angles-and-triangles) - [Pythagoras' theorem](https://www.hlayiso.com/grade-10/technical-mathematics/notes/euclidean-geometry/pythagoras-theorem) - [Midpoint theorem](https://www.hlayiso.com/grade-10/technical-mathematics/notes/euclidean-geometry/midpoint-theorem) - [Properties of quadrilaterals](https://www.hlayiso.com/grade-10/technical-mathematics/notes/euclidean-geometry/properties-of-quadrilaterals) ### Analytical geometry - [Analytical geometry notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/analytical-geometry) - [Distance and midpoint formulae](https://www.hlayiso.com/grade-10/technical-mathematics/notes/analytical-geometry/distance-and-midpoint-formulae) - [Gradient and equations of straight lines](https://www.hlayiso.com/grade-10/technical-mathematics/notes/analytical-geometry/gradient-and-equations-of-straight-lines) ### Functions and graphs - [Functions and graphs notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/functions-and-graphs) - [Functional notation and point-by-point plotting](https://www.hlayiso.com/grade-10/technical-mathematics/notes/functions-and-graphs/functional-notation-and-point-by-point-plotting) - [Linear and quadratic functions](https://www.hlayiso.com/grade-10/technical-mathematics/notes/functions-and-graphs/linear-and-quadratic-functions) - [Hyperbola and exponential functions](https://www.hlayiso.com/grade-10/technical-mathematics/notes/functions-and-graphs/hyperbola-and-exponential-functions) ### Mensuration - [Mensuration notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/mensuration) - [Conversion of units](https://www.hlayiso.com/grade-10/technical-mathematics/notes/mensuration/conversion-of-units) ### Circles, angles and angular movement - [Circles, angles and angular movement notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/circles-angles-and-angular-movement) - [Radians and degree-radian conversions](https://www.hlayiso.com/grade-10/technical-mathematics/notes/circles-angles-and-angular-movement/radians-and-degree-radian-conversions) ### Finance and growth - [Finance and growth notes](https://www.hlayiso.com/grade-10/technical-mathematics/notes/finance-and-growth) - [Simple and compound growth](https://www.hlayiso.com/grade-10/technical-mathematics/notes/finance-and-growth/simple-and-compound-growth) - [Foreign exchange rates](https://www.hlayiso.com/grade-10/technical-mathematics/notes/finance-and-growth/foreign-exchange-rates) ## Frequently asked questions ### Are the Grade 10 Technical Mathematics notes free? Each Grade 10 Technical 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 10 Technical Mathematics notes are written against the official CAPS curriculum and ATP so you only study what’s examinable. --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.