OxfordAQA · International GCSE
Mathematics · Matemática
Papers, samples and curriculum documents for this course. · Papers, amostras e documentos curriculares deste curso.
Qualification code · Código da qualificação: 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 apoio · IGCSE Mathematics · Matemática do IGCSE (9)
- 1. Number · 1. Número
- 2. Algebra and graphs · 2. Álgebra e gráficos
- 3. Coordinate geometry · 3. Geometria analítica
- 4. Geometry · 4. Geometria
- 5. Mensuration · 5. Mensuração
- 6. Trigonometry · 6. Trigonometria
- 7. Transformations and vectors · 7. Transformações e vetores
- 8. Probability · 8. Probabilidade
- 9. Statistics · 9. Estatística
Exercise sheets · Folhas de exercícios · IGCSE Mathematics · Matemática do IGCSE (125)
- C1.1 Types of number
- C1.2 Sets
- C1.3 Powers and roots · C1.3 Potências e raízes
- C1.4 Fractions, decimals and percentages · C1.4 Frações, decimais e percentuais
- C1.5 Ordering · C1.5 Ordenação
- C1.6 The four operations · C1.6 As quatro operações
- C1.7 Indices I · C1.7 Índices I
- C1.8 Standard form
- C1.9 Estimation · C1.9 Estimação
- C1.10 Limits of accuracy · C1.10 Limites de precisão
- C1.11 Ratio and proportion · C1.11 Razão e proporção
- C1.12 Rates · C1.12 Taxas
- C1.13 Percentages · C1.13 Porcentagens
- C1.14 Using a calculator · C1.14 Usando a calculadora
- C1.15 Time · C1.15 Tempo
- C1.16 Money · C1.16 Dinheiro
- C2.1 Introduction to algebra · C2.1 Introdução à álgebra
- C2.2 Algebraic manipulation · C2.2 Manipulação algébrica
- C2.4 Indices II · C2.4 Índices II
- C2.5 Equations · C2.5 Equações
- C2.6 Inequalities · C2.6 Desigualdades
- C2.7 Sequences · C2.7 Sequências
- C2.9 Graphs in practical situations · C2.9 Gráficos em situações práticas
- C2.10 Graphs of functions · C2.10 Gráficos de funções
- C2.11 Sketching curves · C2.11 Esboçando curvas
- C3.1 Coordinates · C3.1 Coordenadas
- C3.2 Drawing linear graphs · C3.2 Desenhando gráficos lineares
- C3.3 Gradient of linear graphs · C3.3 Declive de gráficos lineares
- C3.5 Equations of linear graphs · C3.5 Equações de gráficos lineares
- C3.6 Parallel lines · C3.6 Linhas paralelas
- C4.1 Geometrical terms · C4.1 Termos geométricos
- C4.2 Geometrical constructions · C4.2 Construções geométricas
- C4.3 Scale drawings · C4.3 Desenhos em escala
- C4.4 Similarity · C4.4 Semelhança
- C4.5 Symmetry · C4.5 Simetria
- C4.6 Angles · C4.6 Ângulos
- C4.7 Circle theorems · C4.7 Teoremas circulares
- C5.1 Units of measure · C5.1 Unidades de medida
- C5.2 Area and perimeter · C5.2 Área e perímetro
- C5.3 Circles, arcs and sectors · C5.3 Círculos, arcos e setores
- C5.4 Surface area and volume · C5.4 Área de superfície e volume
- C5.5 Compound shapes and parts of shapes · C5.5 Formas compostas e partes de formas
- C6.1 Pythagoras’ theorem · C6.1 Teorema de Pitágoras
- C6.2 Right-angled triangles · C6.2 Triângulos retângulos
- C7.1 Transformations · C7.1 Transformações
- C8.1 Introduction to probability · C8.1 Introdução à probabilidade
- C8.2 Relative and expected frequencies · C8.2 Frequências relativas e esperadas
- C8.3 Probability of combined events · C8.3 Probabilidade de eventos combinados
- C9.1 Classifying statistical data · C9.1 Classificação de dados estatísticos
- C9.2 Interpreting statistical data · C9.2 Interpretação de dados estatísticos
- C9.3 Averages and range · C9.3 Médias e amplitude
- C9.4 Statistical charts and diagrams · C9.4 Gráficos e diagramas estatísticos
- C9.5 Scatter diagrams · C9.5 Diagramas de dispersão
- E1.1 Types of number
- E1.2 Sets
- E1.3 Powers and roots · E1.3 Potências e raízes
- E1.4 Fractions, decimals and percentages · E1.4 Frações, decimais e percentuais
- E1.5 Ordering · E1.5 Ordenação
- E1.6 The four operations · E1.6 As quatro operações
- E1.7 Indices I · E1.7 Índices I
- E1.8 Standard form
- E1.9 Estimation · E1.9 Estimação
- E1.10 Limits of accuracy · E1.10 Limites de precisão
- E1.11 Ratio and proportion · E1.11 Razão e proporção
- E1.12 Rates · E1.12 Taxas
- E1.13 Percentages · E1.13 Porcentagens
- E1.14 Using a calculator · E1.14 Usando a calculadora
- E1.15 Time · E1.15 Tempo
- E1.16 Money · E1.16 Dinheiro
- E1.17 Exponential growth and decay · E1.17 Crescimento e decaimento exponencial
- E1.18 Surds · E1.18 Radicais
- E2.1 Introduction to algebra · E2.1 Introdução à álgebra
- E2.2 Algebraic manipulation · E2.2 Manipulação algébrica
- E2.3 Algebraic fractions · E2.3 Frações algébricas
- E2.4 Indices II · E2.4 Índices II
- E2.5 Equations · E2.5 Equações
- E2.6 Inequalities · E2.6 Desigualdades
- E2.7 Sequences · E2.7 Sequências
- E2.8 Proportion · E2.8 Proporção
- E2.9 Graphs in practical situations · E2.9 Gráficos em situações práticas
- E2.10 Graphs of functions · E2.10 Gráficos de funções
- E2.11 Sketching curves · E2.11 Esboçando curvas
- E2.12 Differentiation · E2.12 Diferenciação
- E2.13 Functions · E2.13 Funções
- E3.1 Coordinates · E3.1 Coordenadas
- E3.2 Drawing linear graphs · E3.2 Desenhando gráficos lineares
- E3.3 Gradient of linear graphs · E3.3 Declive de gráficos lineares
- E3.4 Length and midpoint · E3.4 Comprimento e ponto médio
- E3.5 Equations of linear graphs · E3.5 Equações de gráficos lineares
- E3.6 Parallel lines · E3.6 Linhas paralelas
- E3.7 Perpendicular lines · E3.7 Linhas perpendiculares
- E4.1 Geometrical terms · E4.1 Termos geométricos
- E4.2 Geometrical constructions · E4.2 Construções geométricas
- E4.3 Scale drawings · E4.3 Desenhos em escala
- E4.4 Similarity · E4.4 Semelhança
- E4.5 Symmetry · E4.5 Simetria
- E4.6 Angles · E4.6 Ângulos
- E4.7 Circle theorems I · E4.7 Teoremas circulares I
- E4.8 Circle theorems II · E4.8 Teoremas circulares II
- E5.1 Units of measure · E5.1 Unidades de medida
- E5.2 Area and perimeter · E5.2 Área e perímetro
- E5.3 Circles, arcs and sectors · E5.3 Círculos, arcos e setores
- E5.4 Surface area and volume · E5.4 Área de superfície e volume
- E5.5 Compound shapes and parts of shapes · E5.5 Formas compostas e partes de formas
- E6.1 Pythagoras’ theorem · E6.1 Teorema de Pitágoras
- E6.2 Right-angled triangles · E6.2 Triângulos retângulos
- E6.3 Exact trigonometric values · E6.3 Valores trigonométricos exatos
- E6.4 Trigonometric functions · E6.4 Funções trigonométricas
- E6.5 Non-right-angled triangles · E6.5 Triângulos não retângulos
- E6.6 Pythagoras’ theorem and trigonometry in 3D · E6.6 Teorema de Pitágoras e trigonometria no 3D
- E7.1 Transformations · E7.1 Transformações
- E7.2 Vectors in two dimensions · E7.2 Vetores em duas dimensões
- E7.3 Magnitude of a vector · E7.3 Módulo de um vetor
- E7.4 Vector geometry · E7.4 Geometria vetorial
- E8.1 Introduction to probability · E8.1 Introdução à probabilidade
- E8.2 Relative and expected frequencies · E8.2 Frequências relativas e esperadas
- E8.3 Probability of combined events · E8.3 Probabilidade de eventos combinados
- E8.4 Conditional probability · E8.4 Probabilidade condicional
- E9.1 Classifying statistical data · E9.1 Classificação de dados estatísticos
- E9.2 Interpreting statistical data · E9.2 Interpretação de dados estatísticos
- E9.3 Averages and measures of spread · E9.3 Médias e medidas de dispersão
- E9.4 Statistical charts and diagrams · E9.4 Gráficos e diagramas estatísticos
- E9.5 Scatter diagrams · E9.5 Diagramas de dispersão
- E9.6 Cumulative frequency diagrams · E9.6 Diagramas de frequência cumulativa
- E9.7 Histograms · E9.7 Histogramas
Presentation slides · Slides de apresentação · IGCSE Mathematics · Matemática do IGCSE (9)
- 1. Number · 1. Número
- 2. Algebra and graphs · 2. Álgebra e gráficos
- 3. Coordinate geometry · 3. Geometria analítica
- 4. Geometry · 4. Geometria
- 5. Mensuration · 5. Mensuração
- 6. Trigonometry · 6. Trigonometria
- 7. Transformations and vectors · 7. Transformações e vetores
- 8. Probability · 8. Probabilidade
- 9. Statistics · 9. Estatística
Course units and learning goals · Unidades do curso e objetivos de aprendizagem
These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · Estas aulas ensinam objetivos selecionados do curso. Verifique as lacunas de cobertura restantes; o material não é um programa completo de preparação.
3.1 · Number · Número
- 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 · Álgebra
- 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 · Geometria e medidas
- 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 · Estatística e probabilidade
- 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 · densidade de frequência
- 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 · Preparação para esta qualificação
- 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 do ensino ainda necessária
- 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 · Especificações e documentos de exemplo
Course materials · Materiais do curso
- Study notes · Notas de estudo →
- Teaching guidance · Orientações de ensino · Teacher access · Acesso do professor →
- Teacher diagnostics · Diagnósticos do professor · Teacher access · Acesso do professor →
- Teacher solutions · Soluções do professor · Teacher access · Acesso do professor →
Course preparation · Preparação do curso
Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course. · Os documentos estão disponíveis. Notas específicas da banca, avaliações e prática interativa de provas anteriores ainda não estão disponíveis para todos os cursos.
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