This topic covers the fundamental relationships between fractions, decimals, and percentages, including conversion between these forms and their application in calculations. It also encompasses ordering these values and performing arithmetic operations with them, including the use of multipliers for percentage change and interest.
Algebra is a fundamental branch of mathematics that uses symbols and letters to represent numbers and quantities in equations and expressions. In the OCR GCSE Mathematics course, algebra covers topics such as simplifying expressions, solving linear and quadratic equations, working with inequalities, and understanding functions and graphs. Mastering algebra is essential because it provides the tools to model real-world situations, solve problems systematically, and forms the basis for more advanced topics like calculus and statistics.
Algebra is not just about manipulating symbols; it's about logical thinking and problem-solving. You'll learn to recognise patterns, generalise relationships, and use algebraic methods to find unknown values. This topic appears in every exam paper, often making up around 20-30% of the total marks. A strong grasp of algebra will boost your confidence across the entire GCSE Maths syllabus, as it connects to geometry, ratio, and probability.
In the OCR specification, algebra is divided into several key areas: expressions, equations, inequalities, sequences, and graphs. You'll start with basic simplification and substitution, then progress to solving linear and quadratic equations, rearranging formulae, and interpreting graphs of linear and quadratic functions. By the end of the course, you should be able to solve simultaneous equations, factorise quadratics, and understand the concept of a function. Consistent practice is key to success in algebra.
Key skills and knowledge for this topic
Key points examiners look for in your answers
Expert advice for maximising your marks
Pitfalls to avoid in your exam answers
Common questions students ask about this topic
Comprehensive revision notes & examples
How questions on this topic are typically asked
Practice questions tailored to this topic