OxfordAQA · International GCSE
Mathematics · Matemáticas
Papers, samples and curriculum documents for this course. · Papeles, muestras y documentos curriculares para este curso.
Qualification code · Código de la cualificación: 9260
Handouts, exercise sheets and slides
Shared topic documents retain their source course and topic titles. Use your chosen board’s specification for coverage, tier and exam requirements.
Handouts · Material de apoyo · IGCSE Mathematics · IGCSE Matemáticas (9)
- 1. Number · 1. Número
- 2. Algebra and graphs · 2. Álgebra y gráficos
- 3. Coordinate geometry · 3. Geometría analítica
- 4. Geometry · 4. Geometría
- 5. Mensuration · 5. Medición
- 6. Trigonometry · 6. Trigonometría
- 7. Transformations and vectors · 7. Transformaciones y vectores
- 8. Probability · 8. Probabilidad
- 9. Statistics · 9. Estadística
Exercise sheets · Hojas de ejercicios · IGCSE Mathematics · IGCSE Matemáticas (125)
- C1.1 Types of number · C1.1 Tipos de número
- C1.2 Sets · C1.2 Conjuntos
- C1.3 Powers and roots · C1.3 Potencias y raíces
- C1.4 Fractions, decimals and percentages · C1.4 Fracciones, decimales y porcentajes
- C1.5 Ordering · C1.5 Ordenación
- C1.6 The four operations · C1.6 Las cuatro operaciones
- C1.7 Indices I · C1.7 Índices I
- C1.8 Standard form · C1.8 Notación científica
- C1.9 Estimation · C1.9 Estimación
- C1.10 Limits of accuracy · C1.10 Límites de precisión
- C1.11 Ratio and proportion · C1.11 Razón y proporción
- C1.12 Rates · C1.12 Tasas
- C1.13 Percentages · C1.13 Porcentajes
- C1.14 Using a calculator · C1.14 Uso de calculadora
- C1.15 Time · C1.15 Tiempo
- C1.16 Money · C1.16 Dinero
- C2.1 Introduction to algebra · C2.1 Introducción al álgebra
- C2.2 Algebraic manipulation · C2.2 Manipulación algebraica
- C2.4 Indices II · C2.4 Índices II
- C2.5 Equations · C2.5 Ecuaciones
- C2.6 Inequalities · C2.6 Desigualdades
- C2.7 Sequences · C2.7 Secuencias
- C2.9 Graphs in practical situations · C2.9 Gráficas en situaciones prácticas
- C2.10 Graphs of functions · C2.10 Gráficas de funciones
- C2.11 Sketching curves · C2.11 Esbozar curvas
- C3.1 Coordinates · C3.1 Coordenadas
- C3.2 Drawing linear graphs · C3.2 Dibujo de gráficas lineales
- C3.3 Gradient of linear graphs · C3.3 Pendiente de gráficas lineales
- C3.5 Equations of linear graphs · C3.5 Ecuaciones de gráficas lineales
- C3.6 Parallel lines · C3.6 Rectas paralelas
- C4.1 Geometrical terms · C4.1 Términos geométricos
- C4.2 Geometrical constructions · C4.2 Construcciones geométricas
- C4.3 Scale drawings · C4.3 Dibujos a escala
- C4.4 Similarity · C4.4 Similitud
- C4.5 Symmetry · C4.5 Simetría
- C4.6 Angles · C4.6 Ángulos
- C4.7 Circle theorems · C4.7 Teoremas de la circunferencia
- C5.1 Units of measure · C5.1 Unidades de medida
- C5.2 Area and perimeter · C5.2 Área y perímetro
- C5.3 Circles, arcs and sectors · C5.3 Círculos, arcos y sectores
- C5.4 Surface area and volume · C5.4 Área superficial y volumen
- C5.5 Compound shapes and parts of shapes · C5.5 Figuras compuestas y partes de figuras
- C6.1 Pythagoras’ theorem · C6.1 Teorema de Pitágoras
- C6.2 Right-angled triangles · C6.2 Triángulos rectángulos
- C7.1 Transformations · C7.1 Transformaciones
- C8.1 Introduction to probability · C8.1 Introducción a la probabilidad
- C8.2 Relative and expected frequencies · C8.2 Frecuencias relativas y esperadas
- C8.3 Probability of combined events · C8.3 Probabilidad de eventos combinados
- C9.1 Classifying statistical data · C9.1 Clasificación de datos estadísticos
- C9.2 Interpreting statistical data · C9.2 Interpretación de datos estadísticos
- C9.3 Averages and range · C9.3 Medias y rango
- C9.4 Statistical charts and diagrams · C9.4 Gráficos y diagramas estadísticos
- C9.5 Scatter diagrams · C9.5 Diagramas de dispersión
- E1.1 Types of number · E1.1 Tipos de número
- E1.2 Sets · E1.2 Conjuntos
- E1.3 Powers and roots · E1.3 Potencias y raíces
- E1.4 Fractions, decimals and percentages · E1.4 Fracciones, decimales y porcentajes
- E1.5 Ordering · E1.5 Ordenación
- E1.6 The four operations · E1.6 Las cuatro operaciones
- E1.7 Indices I · E1.7 Índices I
- E1.8 Standard form · E1.8 Notación científica
- E1.9 Estimation · E1.9 Estimación
- E1.10 Limits of accuracy · E1.10 Límites de precisión
- E1.11 Ratio and proportion · E1.11 Razón y proporción
- E1.12 Rates · E1.12 Tasas
- E1.13 Percentages · E1.13 Porcentajes
- E1.14 Using a calculator · E1.14 Uso de calculadora
- E1.15 Time · E1.15 Tiempo
- E1.16 Money · E1.16 Dinero
- E1.17 Exponential growth and decay · E1.17 Crecimiento y decaimiento exponencial
- E1.18 Surds · E1.18 Radicales
- E2.1 Introduction to algebra · E2.1 Introducción al álgebra
- E2.2 Algebraic manipulation · E2.2 Manipulación algebraica
- E2.3 Algebraic fractions · E2.3 Fracciones algebraicas
- E2.4 Indices II · E2.4 Índices II
- E2.5 Equations · E2.5 Ecuaciones
- E2.6 Inequalities · E2.6 Desigualdades
- E2.7 Sequences · E2.7 Secuencias
- E2.8 Proportion · E2.8 Proporción
- E2.9 Graphs in practical situations · E2.9 Gráficas en situaciones prácticas
- E2.10 Graphs of functions · E2.10 Gráficas de funciones
- E2.11 Sketching curves · E2.11 Esbozar curvas
- E2.12 Differentiation · E2.12 Diferenciación
- E2.13 Functions · E2.13 Funciones
- E3.1 Coordinates · E3.1 Coordenadas
- E3.2 Drawing linear graphs · E3.2 Dibujo de gráficas lineales
- E3.3 Gradient of linear graphs · E3.3 Pendiente de gráficas lineales
- E3.4 Length and midpoint · E3.4 Longitud y punto medio
- E3.5 Equations of linear graphs · E3.5 Ecuaciones de gráficas lineales
- E3.6 Parallel lines · E3.6 Rectas paralelas
- E3.7 Perpendicular lines · E3.7 Rectas perpendiculares
- E4.1 Geometrical terms · E4.1 Términos geométricos
- E4.2 Geometrical constructions · E4.2 Construcciones geométricas
- E4.3 Scale drawings · E4.3 Dibujos a escala
- E4.4 Similarity · E4.4 Similitud
- E4.5 Symmetry · E4.5 Simetría
- E4.6 Angles · E4.6 Ángulos
- E4.7 Circle theorems I · E4.7 Teoremas de la circunferencia I
- E4.8 Circle theorems II · E4.8 Teoremas de la circunferencia II
- E5.1 Units of measure · E5.1 Unidades de medida
- E5.2 Area and perimeter · E5.2 Área y perímetro
- E5.3 Circles, arcs and sectors · E5.3 Círculos, arcos y sectores
- E5.4 Surface area and volume · E5.4 Área superficial y volumen
- E5.5 Compound shapes and parts of shapes · E5.5 Figuras compuestas y partes de figuras
- E6.1 Pythagoras’ theorem · E6.1 Teorema de Pitágoras
- E6.2 Right-angled triangles · E6.2 Triángulos rectángulos
- E6.3 Exact trigonometric values · E6.3 Valores trigonométricos exactos
- E6.4 Trigonometric functions · E6.4 Funciones trigonométricas
- E6.5 Non-right-angled triangles · E6.5 Triángulos no rectángulos
- E6.6 Pythagoras’ theorem and trigonometry in 3D · E6.6 Teorema de Pitágoras y trigonometría en 3D
- E7.1 Transformations · E7.1 Transformaciones
- E7.2 Vectors in two dimensions · E7.2 Vectores en dos dimensiones
- E7.3 Magnitude of a vector · E7.3 Magnitud de un vector
- E7.4 Vector geometry · E7.4 Geometría vectorial
- E8.1 Introduction to probability · E8.1 Introducción a la probabilidad
- E8.2 Relative and expected frequencies · E8.2 Frecuencias relativas y esperadas
- E8.3 Probability of combined events · E8.3 Probabilidad de eventos combinados
- E8.4 Conditional probability · E8.4 Probabilidad condicional
- E9.1 Classifying statistical data · E9.1 Clasificación de datos estadísticos
- E9.2 Interpreting statistical data · E9.2 Interpretación de datos estadísticos
- E9.3 Averages and measures of spread · E9.3 Medias y medidas de dispersión
- E9.4 Statistical charts and diagrams · E9.4 Gráficos y diagramas estadísticos
- E9.5 Scatter diagrams · E9.5 Diagramas de dispersión
- E9.6 Cumulative frequency diagrams · E9.6 Diagramas de frecuencia acumulada
- E9.7 Histograms · E9.7 Histogramas
Presentation slides · Diapositivas de presentación · IGCSE Mathematics · IGCSE Matemáticas (9)
- 1. Number · 1. Número
- 2. Algebra and graphs · 2. Álgebra y gráficos
- 3. Coordinate geometry · 3. Geometría analítica
- 4. Geometry · 4. Geometría
- 5. Mensuration · 5. Medición
- 6. Trigonometry · 6. Trigonometría
- 7. Transformations and vectors · 7. Transformaciones y vectores
- 8. Probability · 8. Probabilidad
- 9. Statistics · 9. Estadística
Course units and learning goals · Unidades del curso y objetivos de aprendizaje
These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · Estas lecciones enseñan objetivos del curso seleccionados. Revisa los vacíos de cobertura restantes; el material no es un programa completo de preparación.
3.1 · Number
- Exact arithmetic and estimation: A prime number that divides the integer exactly.
- Indices, surds and standard form: The power to which a base is raised.
- Percentages, ratio and proportional reasoning: A factor that performs a percentage change in one multiplication.
- Accuracy, bounds and compound measures: The smallest possible value consistent with a stated rounding rule.
- prime factor
- A prime number that divides the integer exactly.
- index
- The power to which a base is raised.
- multiplier
- A factor that performs a percentage change in one multiplication.
- lower bound
- The smallest possible value consistent with a stated rounding rule.
3.2 · Algebra
- Equations, identities and rearrangement: An equality that holds for every allowed value of its variable.
- Quadratics and inequalities: The quantity b²-4ac that determines the real roots of ax²+bx+c=0.
- Coordinate geometry and tangents: The change in y divided by the corresponding change in x.
- Sequences, series and recurrence: The constant multiplier between consecutive terms of a geometric sequence.
- Derivatives and stationary points: The instantaneous rate of change, also the gradient of a tangent.
- identity
- An equality that holds for every allowed value of its variable.
- discriminant
- The quantity b²-4ac that determines the real roots of ax²+bx+c=0.
- gradient
- The change in y divided by the corresponding change in x.
- common ratio
- The constant multiplier between consecutive terms of a geometric sequence.
- derivative
- The instantaneous rate of change, also the gradient of a tangent.
3.3 · Geometry and measures
- Angle reasoning, similarity and mensuration: The multiplier that relates corresponding lengths in similar shapes.
- Right triangles and non-right triangles: The side opposite the right angle in a right-angled triangle.
- Vectors and transformation geometry: The vector sum representing the combined displacement or force.
- Reflections, rotations and enlargements: The point from which each point's displacement is multiplied by a scale factor.
- Constructions, loci and geometric conditions: The set of all points satisfying a stated geometric condition.
- Circle theorems and reasoned proofs: A quadrilateral whose four vertices lie on one circle.
- Matrix transformations, inverses and eigenvalues: A scalar that determines whether a square matrix is invertible and, in two dimensions, its signed area factor.
- Integrals, area and accumulation: A function whose derivative equals the given integrand.
- scale factor
- The multiplier that relates corresponding lengths in similar shapes.
- hypotenuse
- The side opposite the right angle in a right-angled triangle.
- resultant
- The vector sum representing the combined displacement or force.
- centre of enlargement
- The point from which each point's displacement is multiplied by a scale factor.
- locus
- The set of all points satisfying a stated geometric condition.
- cyclic quadrilateral
- A quadrilateral whose four vertices lie on one circle.
- determinant
- A scalar that determines whether a square matrix is invertible and, in two dimensions, its signed area factor.
- antiderivative
- A function whose derivative equals the given integrand.
3.4 · Statistics and probability
- Data summaries, histograms and interpretation: Frequency divided by class width, used as histogram height.
- Probability, trees and conditional reasoning: The probability of an event after restricting the sample space to a stated condition.
- Cumulative frequency and box plots: The difference between the upper and lower quartiles.
- frequency density · densidad de frecuencia
- Frequency divided by class width, used as histogram height.
- conditional probability
- The probability of an event after restricting the sample space to a stated condition.
- interquartile range
- The difference between the upper and lower quartiles.
Preparing for this qualification · Preparación para esta cualificación
- Core grades 1–5 and Extension grades 4–9 are separate entries.
- Scientific calculators are allowed on all papers. Graphical calculators and symbolic algebra/calculus calculators are prohibited.
- Use the official appendix to distinguish formulae to recall from supplied formulae.
Teaching coverage still needed · Cobertura docente aún necesaria
- Official question-bank boundaries, scheme alignment and all objective-level teaching coverage require the recorded review; no practice registry promotion.
- The authored diagnostic assessments are not full-length qualification mocks.
Specifications and sample documents · Especificaciones y documentos de muestra
Course materials · Materiales del curso
Course preparation · Preparación del curso
Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course. · Los documentos están disponibles. Las notas específicas de la entidad evaluadora, las evaluaciones y la práctica interactiva deantiguos exámenes no están disponibles aún para todos los cursos.
Lessons · Lecciones →