Algebra is the language the rest of the paper is written in. Learn to rearrange with confidence and every other area gets easier.
Introduction to Algebra
Algebra is where letters stand in for numbers, so that one rule covers every case instead of one example. Cambridge examines it from both directions: you substitute numbe...
8 questions · 20 marks
Revise this topicAlgebraic Manipulation
Algebraic manipulation is the toolkit every other algebra question is built on: collecting like terms, expanding brackets, factorising and rearranging formulas. Most of t...
8 questions · 21 marks
Revise this topicIndices II
This is the index laws page, with letters for bases instead of numbers. You need the product and quotient laws, powers of powers, the zero and negative indices, and the E...
7 questions · 18 marks
Revise this topicEquations and Inequalities
Cambridge tests equations at every level: linear equations with brackets and fractions, simultaneous equations by elimination and substitution, and - for Extended candida...
8 questions · 21 marks
Revise this topicSequences
Cambridge asks you to continue a sequence, to describe the rule that generates it, and to find the nth term of linear, simple quadratic and simple cubic sequences. The Ex...
7 questions · 21 marks
Revise this topicProportion
Proportion is Extended only, and it is the algebra of relationships: how two quantities change together and how to write that as a formula. You meet the proportionality s...
6 questions · 16 marks
Revise this topicGraphs in Practical Situations
A graph in a practical situation is a story told with numbers. The axes say what is being measured, the shape says what happened, and the gradient says how fast it happen...
7 questions · 17 marks
Revise this topicGraphs of Functions and Sketching Curves
This topic is about recognising a curve from its equation and drawing a sketch that shows the features an examiner looks for: where the curve crosses the axes, its turnin...
7 questions · 15 marks
Revise this topicDifferentiation
Differentiation is Extended only, and it is the one technique in 0580 that finds the exact gradient of a curve. You start by estimating a gradient with a drawn tangent, t...
7 questions · 19 marks
Revise this topicFunctions
Functions is Extended only, and it is the language the rest of the algebra paper is written in. You learn to read as a rule rather than a multiplication, to say ...
7 questions · 17 marks
Revise this topicOther areas in IGCSE Maths
Where this fits in IGCSE Maths
This page is one area of Cambridge IGCSE Maths 0580. IGCSE Maths is the course home: every area and every topic in Cambridge's own order, the papers you sit and what each one tests, and the exam-practice tools. The full topic list, with each topic linked to its revision page, is on the IGCSE Maths syllabus page.