Mathematics

There is always pressure when exam weeks approaches, especially as it is your last year and the expectation of good grade results. This document helps you to practice and prepare for your coming exams. Set a good pace of your studies. The more you practice, the better and greater results.

This document is a questions and solutions document. It shows how number patterns as a topic in your mathematics class may be asked. It will bring a clearer understanding of the topic.

This document shows the rules and steps for solving quadratic equations with worked examples, sample questions and answers. Perfect for final exams preparations

this document provides notes on the nature of roots suitable for a grade 12 learner that comes with an example and practise questions as well as answers

This document is the complete breakdown of basic mathematics to help you under each section much more clearer and with a better understanding

This document contains a collection of essential theorems and their proofs, covering key concepts in geometry. Each theorem is presented on a separate page, making it easy to focus on individual concepts. The notes are designed to help students understand the underlying principles and develop their proof-writing skills. Key Features: - Clear and Concise: Each theorem and proof is presented straightforwardly, using clear language and concise explanations. - Step-by-step Proofs: The proofs ...

These notes cover the following topics: - Trigonometric ratios - Co-ratios - Reduction formulae - Special angles - K-substitution - Identities - Trig equations - General solutions - Trig functions - Sine, cosine, and tangent graphs - Right-angled triangles - The area rule - The sine rule - The cosine rule - Compound angle identities - Double angles identities These notes are concise and easy to understand. They are perfect for students who want to review trigonometry quickly...

This document is a summary of key concepts and theorems in Euclidean geometry, focusing on: - Parallel Lines: Includes relationships involving corresponding, alternate, and co-interior angles. - Circles: Covers properties of centres, diameters, radii, angles in semicircles, and relationships between them. Also addresses chords, perpendicular bisectors, and the theorem regarding a tangent perpendicular to a radius. - Tangents: States that tangents from the same point are equal in length. - ...

These comprehensive notes cover key concepts in analytical geometry. Whether you're a student tackling the subject for the first time or looking for a quick refresher, these notes cover all the essential concepts and formulas: - Circles: Understand equations, find centres and radii, and explore intersecting circles. - Straight Lines: Grasp gradients, midpoints, distances, and the relationships between parallel and perpendicular lines. - Special Lines: Learn about medians, altitudes, and ...