Additional Mathematics 0606/13 Oct Nov 2024 | Cambridge IGCSE Past Papers With Mark Scheme

1. Functions and Graphing | Finding stationary points of a function, sketching graphs, determining intercepts, and solving inequalities related to quadratic equations.

2. Trigonometric Equations and Graphs | Sketching trigonometric functions, determining intercepts, solving equations involving sine and tangent functions.

3. Quadratic Equations and Logarithms | Determining values of parameters for no real roots, simplifying logarithmic expressions, and solving logarithmic equations.

4. Polynomial Algebra and Factor Theorem | Using polynomial division and factor theorem to determine coefficients, verifying remainder conditions, and solving for unknowns.

5. Exponential and Logarithmic Relationships | Drawing straight-line graphs from logarithmic transformations, estimating parameters, and interpolating values from graphs.

6. Differentiation and Integration | Derivatives of logarithmic functions, second derivatives, definite integrals, and expressing integrals in specific forms.

7. Coordinate Geometry and Intersection Points | Finding intersection points of curves and lines, using perpendicular bisectors, and solving for unknown coordinates.

8. Vectors and Geometric Proofs | Expressing vector quantities in terms of parameters, solving for unknowns, and using vector geometry for collinear points.

9. Sequences and Series | Finding sums of arithmetic and geometric progressions, determining limits of infinite series, and solving recurrence relations.

10. Probability and Combinatorics | Counting arrangements with restrictions, calculating probabilities of independent and dependent events, and applying binomial probability models.