Math Notes

Dive into probability with us! This page reviews essential concepts like trials, sample spaces, and outcomes. We cover both theoretical and experimental probability.Expand your understanding with set notation in Venn diagrams and 2-way tables. We simplify concepts like unions, intersections, and complements.Let's explore triple Venn diagrams and how they work. Then, we'll break down tree diagrams to calculate probabilities for multiple events, including sampling with replacement.Master algebra with us! We start by expanding expressions using distributive law and perfect squares. Then, we dive into factorising, simplifying step-by-step.Continue your algebra journey by factorising cubic and monic quadratic trinomials. We also cover expanding expressions with more complexity.Ready for more algebra? We tackle factorising non-monic quadratic trinomials and show you how to factorise by completing the square.We'll simplify algebraic fractions, adding and subtracting them with ease. Plus, we'll show you how to factorise by grouping terms, making complex expressions manageable.Let's solve quadratic equations using factorisation. We explore various examples, from simple to complex, showing how to find solutions efficiently.Next, we solve equations by completing the square, a powerful method for any quadratic. We also introduce the quadratic formula for finding solutions.Discover real-life applications of non-linear graphs. We'll solve problems involving rectangles, numbers, and motion, applying quadratic equations to everyday scenarios.