IGCSE Maths · Syllabus 0580

IGCSE Maths syllabus

The whole syllabus on one page, in Cambridge’s own structure. Every topic links to its revision page, where it is explained, diagrammed and then tested with self-marked exam questions. 53 topics and 385 questions, all free.

Cambridge 0580 · 53 topics · 385 exam-style questions
Assessment

What you actually sit

Read this before you revise. The paper you are entered for decides which content is examined, so the wrong revision plan wastes weeks.

PaperTimeMarksWhat it tests
Paper 1 - Non-calculator (Core)1 h 30 min80 marksStructured and unstructured questions on the Core subject content, except C1.14 Using a calculator. No calculator allowed. 50% of the qualification. Grades C to G.
Paper 3 - Calculator (Core)1 h 30 min80 marksStructured and unstructured questions on the Core subject content. A scientific calculator is required. 50% of the qualification. Grades C to G.
Paper 2 - Non-calculator (Extended)2 h100 marksStructured and unstructured questions on the Extended subject content, except E1.14 Using a calculator. No calculator allowed. 50% of the qualification. Grades A* to C.
Paper 4 - Calculator (Extended)2 h100 marksStructured and unstructured questions on the Extended subject content. A scientific calculator is required. 50% of the qualification. Grades A* to C.

AO1 is recall and understanding. AO2 is applying it to a context. AO3 is practical and investigative skills. The mark schemes on every topic page tag each question AO1 or AO2 so you can see which one you are practising.

Topic list

Every topic, in order

Work down the list, or jump to whatever your teacher set tonight. Each link opens the topic page with the teaching, the diagrams and the questions.

Area 1 · Number

Types of number, sets, powers and roots, fractions, decimals and percentages, standard form, limits of accuracy, ratio, rates and money - the arithmetic the whole paper rests on.

  1. Types of Number and Setscore
  2. Powers, Roots and Indicescore
  3. Fractions, Decimals and Percentagescore
  4. The Four Operations and Orderingcore
  5. Standard Formcore
  6. Estimation and Limits of Accuracycore
  7. Ratio, Proportion and Ratescore
  8. Money, Time and the Calculatorcore
  9. Exponential Growth and Decayextended

Area 2 · Algebra and Graphs

Algebraic manipulation, equations and inequalities, sequences, proportion, graphs in practical situations, sketching curves, differentiation and functions.

  1. Introduction to Algebracore
  2. Algebraic Manipulationcore
  3. Indices IIcore
  4. Equations and Inequalitiescore
  5. Sequencescore
  6. Proportionextended
  7. Graphs in Practical Situationscore
  8. Graphs of Functions and Sketching Curvescore
  9. Differentiationextended
  10. Functionsextended

Area 3 · Coordinate Geometry

Coordinates, drawing and reading linear graphs, gradient, the equation of a straight line, parallel and perpendicular lines, length and midpoint.

  1. Coordinates and Linear Graphscore
  2. Gradient of a Linecore
  3. Length and Midpointextended
  4. Equations of Linescore
  5. Parallel and Perpendicular Linescore

Area 4 · Geometry

Geometrical terms and vocabulary, constructions, scale drawings, similarity, symmetry, angle properties and circle theorems.

  1. Geometrical Termscore
  2. Constructions and Scale Drawingscore
  3. Similaritycore
  4. Symmetrycore
  5. Anglescore
  6. Circle Theoremsextended

Area 5 · Mensuration

Units of measure, area and perimeter, circles, arcs and sectors, surface area and volume, and compound shapes.

  1. Units of Measurecore
  2. Area and Perimetercore
  3. Circles, Arcs and Sectorscore
  4. Surface Area and Volumecore
  5. Compound Shapes and Parts of Shapescore

Area 6 · Trigonometry

Pythagoras' theorem, right-angled triangles, sine, cosine and tangent, the sine and cosine rules and the area of a triangle.

  1. Pythagoras' Theoremcore
  2. Right-Angled Trianglescore
  3. Trigonometric Functions and Exact Valuesextended
  4. Non-Right-Angled Trianglesextended
  5. Trigonometry in 3Dextended

Area 7 · Transformations and Vectors

Reflection, rotation, translation and enlargement, plus column vectors, magnitude and vector arithmetic.

  1. Transformationscore
  2. Vectorscore
  3. Vector Geometryextended

Area 8 · Probability

The probability scale, relative and expected frequency, tree diagrams, Venn diagrams and combined events.

  1. Introduction to Probabilitycore
  2. Relative and Expected Frequenciescore
  3. Probability of Combined Eventscore
  4. Conditional Probabilityextended

Area 9 · Statistics

Types of data, reading and interpreting statistical diagrams, averages and range, charts and graphs, scatter diagrams and correlation.

  1. Classifying and Interpreting Datacore
  2. Averages and Measures of Spreadcore
  3. Statistical Charts and Diagramscore
  4. Scatter Diagramscore
  5. Cumulative Frequency Diagramsextended
  6. Histogramsextended
Use it

Three ways to work through this syllabus

IGCSE Maths course home

The same topics with progress tracking, so you can see what you have covered and what is left.

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Question bank

Every question on the site in one place. Filter by topic, command word or marks, then mark yourself.

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Quick 10

Ten random questions and a score breakdown by area, for when you have twenty minutes and no plan.

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