Source: https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-2-composite-and-inverse [Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [IGCSE](https://senecalearning.com/en-gb/revision-notes/igcse.md) › [Maths](https://senecalearning.com/en-gb/revision-notes/igcse/maths.md) › [Edexcel IGCSE](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse.md) › [Higher](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher.md) › Composite & Inverse # Composite & Inverse Maths: Edexcel IGCSE Higher, topic 3.2.2 ## Composite Functions If f(x) = x2 - 1 and g(x) = x + 3, then what is fg(2)? ### Write functions ![Write functions](https://image-v2.cdn.app.senecalearning.com/2018-04/6057cd76-37a7-4250-ac31-3c2272dc0359/Screen%20Shot%202018-04-12%20at%2010.56.13.png) ### Combine ![Combine](https://image-v2.cdn.app.senecalearning.com/2018-04/4be2af16-b639-4bf2-80d1-b497e60a491f/Screen%20Shot%202018-04-12%20at%2010.56.17.png) ![](https://image-v2.cdn.app.senecalearning.com/2018-04/99503084-a7e1-461d-8786-b1f755d30942/Screen%20Shot%202018-04-12%20at%2010.56.29.png) ![](https://image-v2.cdn.app.senecalearning.com/2018-04/4cf0b037-4944-463b-bc58-15a8ae191de3/Screen%20Shot%202018-04-12%20at%2010.56.33.png) ### Sub in x = 2 ![Sub in x = 2](https://image-v2.cdn.app.senecalearning.com/2018-04/432448d7-e397-4a13-b728-891cf2a2a46e/Screen%20Shot%202018-04-12%20at%2010.56.37.png) ![](https://image-v2.cdn.app.senecalearning.com/2018-04/e5940c37-c4fc-4ae0-80a9-aeaf6c0a28b1/Screen%20Shot%202018-04-12%20at%2010.56.42.png) ### fg(2) = 24 ![fg(2) = 24](https://image-v2.cdn.app.senecalearning.com/2018-04/9be3b26f-8e2d-45f9-9161-f5be302f9e0a/Screen%20Shot%202018-04-12%20at%2010.56.46.png) ## Inverse Functions Inverse functions are the opposite of normal functions. They are written as f-1(x). Find the inverse of the function f(x) = 2x - 4: ### Write the function ![Write the function](https://image-v2.cdn.app.senecalearning.com/2018-04/6addd32f-63d0-4ec3-960f-036143b68215/Screen%20Shot%202018-04-12%20at%2011.12.21.png) ### Replace f(x) with y ![Replace f(x) with y](https://image-v2.cdn.app.senecalearning.com/2018-04/d678cabd-b813-4d35-9598-d9d47ea0b113/Screen%20Shot%202018-04-12%20at%2011.12.26.png) ### Swap x and y ![Swap x and y](https://image-v2.cdn.app.senecalearning.com/2018-04/6d945232-3f0d-4d1b-8a4f-fc676f59dffd/Screen%20Shot%202018-04-12%20at%2011.12.37.png) ### Rearrange to find y in terms of x - step 1 ![Rearrange to find y in terms of x - step 1](https://image-v2.cdn.app.senecalearning.com/2018-04/af05f35d-5974-4293-8a75-58084a836c03/Screen%20Shot%202018-04-12%20at%2011.12.47.png) ### Rearrange to find y in terms of x - step 2 ![Rearrange to find y in terms of x - step 2](https://image-v2.cdn.app.senecalearning.com/2018-04/7c2f967d-5531-48b3-93cf-91e748ad314b/Screen%20Shot%202018-04-12%20at%2011.12.52.png) ### Rearrange to find y in terms of x - step 3 ![Rearrange to find y in terms of x - step 3](https://image-v2.cdn.app.senecalearning.com/2018-04/53abc9c6-8bca-4202-88e5-faf20875197c/Screen%20Shot%202018-04-12%20at%2011.12.58.png) ### Replace y with f-1(x) ![Replace y with f-1(x)](https://image-v2.cdn.app.senecalearning.com/2018-04/e050b2fe-1917-4c9d-864c-40d95d5707a3/Screen%20Shot%202018-04-12%20at%2011.13.09.png) ## Test yourself on Composite & Inverse - Composite Functions - Composite Functions - Inverse Functions - If f(x) = 6 + x, what is f-1(x)? - If f(x) = 1 + 1⁄2x, what is f-1(x)? [Practise this topic for free](https://app.senecalearning.com/classroom/course/641a6cb5-729a-404a-aeca-c7040cd18740/section/d1f8c3c6-bb9b-435d-a73a-a0d1014a0f6b/session) - Previous topic: [3.2.1 Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-1-functions.md) - Next topic: [3.2.3 End of Topic Test - Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-3-end-of-topic-test-functions.md) ## Maths: Edexcel IGCSE Higher contents ### 1 Numbers - 1.1 Integers - [1.1.1 Integers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-1-integers.md) - [1.1.2 Ordering Numbers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-2-ordering-numbers.md) - [1.1.3 The Four Rules of Operations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-3-the-four-rules-of-operations.md) - [1.1.4 Hierarchy of Operations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-4-hierarchy-of-operations.md) - [1.1.5 Definitions & Terms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-5-definitions-and-terms.md) - [1.1.6 HCF & LCM](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-6-hcf-and-lcm.md) - [1.1.7 Standard Form](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-7-standard-form.md) - [1.1.8 Standard Form 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-8-standard-form-2.md) - [1.1.9 Prime Numbers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-9-prime-numbers.md) - [1.1.10 End of Topic Test - Standard Form](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-10-end-of-topic-test-standard-form.md) - 1.2 Fractions - [1.2.1 Fractions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-1-fractions.md) - [1.2.2 Using Fractions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-2-using-fractions.md) - [1.2.3 Conversion](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-3-conversion.md) - [1.2.4 Reciprocals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-4-reciprocals.md) - 1.3 Decimals - [1.3.1 Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-1-decimals.md) - [1.3.2 Decimals 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-2-decimals-2.md) - [1.3.3 Exam-Style Questions - Recurring Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-3-exam-style-questions-recurring-decimals.md) - [1.3.4 Comparing & Converting Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-4-comparing-and-converting-decimals.md) - [1.3.5 End of Topic Test - Fractions & Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-5-end-of-topic-test-fractions-and-decimals.md) - 1.4 Powers & Roots - [1.4.1 Square Numbers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-1-square-numbers.md) - [1.4.2 Index Notation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-2-index-notation.md) - [1.4.3 Exam-Style Questions - Index Notation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-3-exam-style-questions-index-notation.md) - [1.4.4 Advanced Indices](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-4-advanced-indices.md) - [1.4.5 Surds](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-5-surds.md) - [1.4.6 End of Topic Test - Powers & Roots](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-6-end-of-topic-test-powers-and-roots.md) - 1.5 Set Language & Notation - [1.5.1 Sets](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-5-1-sets.md) - 1.6 Percentages - [1.6.1 Percentages](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-1-percentages.md) - [1.6.2 Percentage Change](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-2-percentage-change.md) - [1.6.3 Percentages in Finance](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-3-percentages-in-finance.md) - [1.6.4 Compound Interest](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-4-compound-interest.md) - 1.7 Ratio & Proportion - [1.7.1 Manipulating Ratios](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-7-1-manipulating-ratios.md) - [1.7.2 Proportion](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-7-2-proportion.md) - 1.8 Degree of Accuracy - [1.8.1 Rounding & Significant Figures](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-1-rounding-and-significant-figures.md) - [1.8.2 Estimation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-2-estimation.md) - [1.8.3 Upper & Lower Bounds](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-3-upper-and-lower-bounds.md) - [1.8.4 Limits of Accuracy](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-4-limits-of-accuracy.md) - [1.8.5 Limits of Accuracy 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-5-limits-of-accuracy-2.md) - [1.8.6 End of Topic Test - Rounding & Estimation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-6-end-of-topic-test-rounding-and-estimation.md) ### 2 Equations, Formulae & Identities - 2.1 Algebraic Manipulation - [2.1.1 Algebra Basics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-1-algebra-basics.md) - [2.1.2 Power Rules & Collecting Terms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-2-power-rules-and-collecting-terms.md) - [2.1.3 Expanding Brackets](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-3-expanding-brackets.md) - [2.1.4 Expanding Brackets 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-4-expanding-brackets-2.md) - [2.1.5 Factorising Quadratics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-5-factorising-quadratics.md) - [2.1.6 Algebraic Fractions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-6-algebraic-fractions.md) - [2.1.7 Proofs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-7-proofs.md) - [2.1.8 End of Topic Test - Algebra & Proofs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-8-end-of-topic-test-algebra-and-proofs.md) - [2.1.9 Exam-Style Questions - Algebraic Proof](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-9-exam-style-questions-algebraic-proof.md) - 2.2 Expressions & Formulae - [2.2.1 Rearranging Formulae](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-2-1-rearranging-formulae.md) - [2.2.2 Simple Formulae](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-2-2-simple-formulae.md) - [2.2.3 End of Topic Test - Algebra Manipulation & Formula](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-2-3-end-of-topic-test-algebra-manipulation-and-formula.md) - 2.3 Linear Equations - [2.3.1 Solving Linear Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-3-1-solving-linear-equations.md) - [2.3.2 Simultaneous Linear Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-3-2-simultaneous-linear-equations.md) - 2.4 Quadratic Equations - [2.4.1 Solving Quadratics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-1-solving-quadratics.md) - [2.4.2 Solving Quadratics 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-2-solving-quadratics-2.md) - [2.4.3 End of Topic Test - Solving Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-3-end-of-topic-test-solving-equations.md) - [2.4.4 Simulateous Quadratic Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-4-simulateous-quadratic-equations.md) - [2.4.5 Exam-Style Questions - Simultaneous Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-5-exam-style-questions-simultaneous-equations.md) - [2.4.6 Graphs of Simultaneous Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-6-graphs-of-simultaneous-equations.md) - [2.4.7 End of Topic Test - Simultaneous Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-7-end-of-topic-test-simultaneous-equations.md) - 2.5 Proportion - [2.5.1 Graphs & Proportion](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-5-1-graphs-and-proportion.md) - 2.6 Inequalities - [2.6.1 Solving Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-1-solving-inequalities.md) - [2.6.2 Graphs of Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-2-graphs-of-inequalities.md) - [2.6.3 Exam-Style Questions - Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-3-exam-style-questions-inequalities.md) - [2.6.4 End of Topic Test - Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-4-end-of-topic-test-inequalities.md) ### 3 Sequences, Functions & Graphs - 3.1 Sequences - [3.1.1 Sequence Rules](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-1-sequence-rules.md) - [3.1.2 Finding Terms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-2-finding-terms.md) - [3.1.3 Exam-Style Questions - Sequences](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-3-exam-style-questions-sequences.md) - [3.1.4 End of Topic Test - Sequences](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-4-end-of-topic-test-sequences.md) - 3.2 Functions - [3.2.1 Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-1-functions.md) - [3.2.2 Composite & Inverse](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-2-composite-and-inverse.md) - [3.2.3 End of Topic Test - Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-3-end-of-topic-test-functions.md) - 3.3 Graphs - [3.3.1 Plotting Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-1-plotting-graphs.md) - [3.3.2 Straight Line Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-2-straight-line-graphs.md) - [3.3.3 Properties of Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-3-properties-of-graphs.md) - [3.3.4 Quadratic Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-4-quadratic-graphs.md) - [3.3.5 Practical Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-5-practical-graphs.md) - [3.3.6 Graphs of Polynomials](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-6-graphs-of-polynomials.md) - [3.3.7 End of Topic Test Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-7-end-of-topic-test-graphs.md) - 3.4 Common Graphs - [3.4.1 Graphs of Common Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-4-1-graphs-of-common-functions.md) - [3.4.2 Transformations of Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-4-2-transformations-of-graphs.md) - [3.4.3 End of Topic Test - Transformations and Graph](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-4-3-end-of-topic-test-transformations-and-graph.md) - 3.5 Calculus - [3.5.1 Derivatives of Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-5-1-derivatives-of-functions.md) - [3.5.2 Maxima & Minima](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-5-2-maxima-and-minima.md) ### 4 Geometry - 4.1 Angles, Lines & Triangles - [4.1.1 Angles & Lines](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-1-angles-and-lines.md) - [4.1.2 Angle Rules](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-2-angle-rules.md) - [4.1.3 Angles in Triangles](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-3-angles-in-triangles.md) - [4.1.4 Exam-Style Questions - Angles](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-4-exam-style-questions-angles.md) - 4.2 Polygons - [4.2.1 Polygons](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-1-polygons.md) - [4.2.2 Quadrilaterals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-2-quadrilaterals.md) - [4.2.3 Congruence](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-3-congruence.md) - [4.2.4 Scale Factor](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-4-scale-factor.md) - [4.2.5 Exam-Style Questions - Enlargements](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-5-exam-style-questions-enlargements.md) - [4.2.6 End of Topic Test - Geometry](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-6-end-of-topic-test-geometry.md) - 4.3 Symmetry - [4.3.1 Symmetry](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-3-1-symmetry.md) - [4.3.2 Exam-Style Questions - Reflection](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-3-2-exam-style-questions-reflection.md) - 4.4 Measures - [4.4.1 Measurements](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-1-measurements.md) - [4.4.2 Time](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-2-time.md) - [4.4.3 Bearings](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-3-bearings.md) - [4.4.4 Speed](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-4-speed.md) - 4.5 Circle Properties - [4.5.1 Properties of a Circle](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-1-properties-of-a-circle.md) - [4.5.2 Circle Theorems](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-2-circle-theorems.md) - [4.5.3 Circle Theorems 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-3-circle-theorems-2.md) - [4.5.4 Circle Theorems 3](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-4-circle-theorems-3.md) - [4.5.5 Exam-Style Questions - Circle Theorems](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-5-exam-style-questions-circle-theorems.md) - 4.6 Trigonometry & Pythagoras’ theorem - [4.6.1 Pythagoras' Theorem](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-1-pythagoras-theorem.md) - [4.6.2 Trigonometry](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-2-trigonometry.md) - [4.6.3 Sine & Cosine for Obtuse Angles](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-3-sine-and-cosine-for-obtuse-angles.md) - [4.6.4 Triangle Formulae](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-4-triangle-formulae.md) - [4.6.5 Exam-Style Questions - Trigonometry & Area](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-5-exam-style-questions-trigonometry-and-area.md) - 4.7 Mensuration of 2D Shapes - [4.7.1 Standard Units](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-1-standard-units.md) - [4.7.2 Perimeter of 2D Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-2-perimeter-of-2d-shapes.md) - [4.7.3 Area of 2D Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-3-area-of-2d-shapes.md) - [4.7.4 Area & Circumference of Circle](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-4-area-and-circumference-of-circle.md) - [4.7.5 End of Topic Test - Trigonometry & Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-5-end-of-topic-test-trigonometry-and-shapes.md) - 4.8 3D Shapes & Volume - [4.8.1 3D Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-1-3d-shapes.md) - [4.8.2 Surface Area](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-2-surface-area.md) - [4.8.3 Volume](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-3-volume.md) - [4.8.4 Exam-Style Questions - Volume](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-4-exam-style-questions-volume.md) ### 5 Vectors & Transformation Geometry - 5.1 Vectors - [5.1.1 Vectors](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-1-1-vectors.md) - [5.1.2 Vectors 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-1-2-vectors-2.md) - [5.1.3 Exam-Style Questions - Vectors](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-1-3-exam-style-questions-vectors.md) - 5.2 Transformation Geometry - [5.2.1 Transformations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-1-transformations.md) - [5.2.2 Rotations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-2-rotations.md) - [5.2.3 Translations & Reflections](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-3-translations-and-reflections.md) - [5.2.4 Enlargements](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-4-enlargements.md) - [5.2.5 Effects of Transformations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-5-effects-of-transformations.md) ### 6 Statistics & Probability - 6.1 Statistical Measures - [6.1.1 Basic Statistics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-1-1-basic-statistics.md) - [6.1.2 Frequency Table](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-1-2-frequency-table.md) - 6.2 Graphical Representation of Data - [6.2.1 Pictograms, Bar Charts & Pie Charts](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-1-pictograms-bar-charts-and-pie-charts.md) - [6.2.2 Histograms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-2-histograms.md) - [6.2.3 Cumulative Frequency](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-3-cumulative-frequency.md) - [6.2.4 Cumulative Frequency 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-4-cumulative-frequency-2.md) - [6.2.5 Exam-Style Questions - Cumulative Frequency](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-5-exam-style-questions-cumulative-frequency.md) - [6.2.6 End of Topic - Datasets](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-6-end-of-topic-datasets.md) - 6.3 Probability - [6.3.1 Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-1-probability.md) - [6.3.2 Theoretical Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-2-theoretical-probability.md) - [6.3.3 Experimental Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-3-experimental-probability.md) - [6.3.4 Venn Diagrams](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-4-venn-diagrams.md) - [6.3.5 Sample Space Diagrams](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-5-sample-space-diagrams.md) - [6.3.6 Tree Diagrams](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-6-tree-diagrams.md) - [6.3.7 Independent Events](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-7-independent-events.md) - [6.3.8 Conditional Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-8-conditional-probability.md) - [6.3.9 End of Topic Test - Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-9-end-of-topic-test-probability.md) - [6.3.10 Exam-Style Questions - Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-10-exam-style-questions-probability.md)