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Pure

Much the largest of the three, and the part every board examines most. AQA sets one pure paper and Edexcel two, but on both boards pure content can also appear inside the applied papers, so it is never finished with.

Topics in this section10

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Proof

Deduction, exhaustion, disproof by counter-example and contradiction

Coming soon

Algebra and functions

Polynomials, partial fractions and the modulus function

Coming soon

Coordinate geometry

Straight lines, circles and parametric equations

Coming soon

Sequences and series

Arithmetic, geometric and the binomial expansion

Coming soon

Trigonometry

Identities, radians and solving trigonometric equations

Coming soon

Exponentials and logarithms

Laws of logs and exponential modelling

Coming soon

Differentiation

Chain, product and quotient rules; applications

Coming soon

Integration

By substitution, by parts, and areas under curves

Coming soon

Numerical methods

Iteration, Newton–Raphson and the trapezium rule

Coming soon

Vectors

Two and three dimensions, magnitude and direction

Coming soon

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