Core Maths

A-Level maths revision notes with randomly generated interactive examples.

C1 - Core 1 revision notes

1. Completing the square
2. Describe the effect of translations on graphs and their equations
3. Differentiating polynomials
4. Evaluating definite integrals
5. Expanding quadratic polynomials
6. Factorising quadratic polynomials
7. Finding maxima and minima and stationary points
8. Finding the area under a curve using integration
9. Finding the equation of a circle by completing the square
10. Finding the equation of tangents and normals to curves
11. Finding the midpoint of a straight line
12. General equation of a straight line
13. Graphs of simple equations
14. Identifying parallel and perpendicular lines
15. Integrating polynomials
16. Quadratic functions and their graphs
17. Rationalising the denominator of a fraction
18. Simple algebraic division
19. Simplifying surds
20. Solving linear and quadratic inequalities
21. Solving quadratic equations
22. Solving simultaneous equations involving quadratics
23. The discriminant of a quadratic function
24. The equation of the tangent and normal at a given point to a circle
25. The intersection of a straight line and a curve
26. Using the equation of a circle
27. Using the Factor Theorem
28. Using the Remainder Theorem

C2 - Core 2 revision notes

1. Arithmetic series
2. Geometric series
3. Laws of indices
4. Transformations of graphs

C3 - Core 3 revision notes

C4 - Core 4 revision notes