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CIE IGCSE Maths

Study Notes

1. Number

1.1 Types of Number1.2 Sets1.3 Powers and Roots1.4 Fractions, Decimals, Percentages1.5 Ordering1.6 The Four Operations1.7 Indices1.8 Standard Form1.9 Estimation1.10 Limits of Accuracy1.11 Ratio and Proportion1.12 Rates1.13 Percentages1.14 Using a Calculator1.15 Time1.16 Money1.17 Exponential Growth and Decay (Extended Only)1.18 Surds (Extended Only)

2. Algebra and Graphs

2.1 Introduction to Algebra2.2 Algebraic Manipulation2.3 Indices II2.4 Equations2.5 Inequalities2.6 Sequences2.7 Graphs in Practical Situations2.8 Graphs of Functions2.9 Sketching Curves2.10 Differentiation (Extended Only)2.11 Functions (Extended Only)

3. Coordinate Geometry

3.1 Coordinates3.2 Drawing Linear Graphs3.3 Gradient of Linear Graphs3.4 Length and Midpoint3.5 Equations of Linear Graphs3.6 Parallel Lines3.7 Perpendicular Lines

4. Geometry

4.1 Geometrical Terms4.2 Geometrical Constructions4.3 Scale Drawings4.4 Similarity4.5 Symmetry4.6 Angles4.7 Circle Theorems

5. Mensuration

5.1 Units of Measure5.2 Area and Perimeter5.3 Circles, Arcs, and Sectors5.4 Surface Area and Volume5.5 Compound Shapes and Parts of Shapes

6. Trigonometry

6.1 Pythagoras’ Theorem6.2 Right-Angled Triangles6.3 Exact Trigonometric Values (Extended Only)6.4 Trigonometric Functions (Extended Only)6.5 Non-Right-Angled Triangles (Extended Only)6.6 Pythagoras and Trigonometry in 3D (Extended Only)

7. Transformations and Vectors

7.1 Transformations7.2 Vectors in 2D (Extended Only)7.3 Magnitude of a Vector (Extended Only)7.4 Vector Geometry (Extended Only)

8. Probability

8.1 Introduction to Probability8.2 Relative and Expected Frequencies8.3 Probability of Combined Events8.4 Conditional Probability (Extended Only)

9. Statistics

9.1 Classifying Data9.2 Interpreting Data 9.3 Averages and Spread9.4 Statistical Charts9.5 Scatter Diagrams9.6 Cumulative Frequency (Extended Only) 9.7 Histograms (Extended Only)

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