Pure 3 goes further into the same ideas as Pure 1, and adds the techniques that only make sense once the basics are secure.
Algebra
Pure 3 algebra is five techniques that Paper 3 keeps joining together: the modulus function, division of polynomials, the factor and remainder theorems, partial fractions...
8 questions · 31 marks
Revise this topicLogarithmic and Exponential Functions
This topic is about the two functions that undo each other: the exponential and the natural logarithm . You need the laws of logarithms, the sha...
8 questions · 28 marks
Revise this topicTrigonometry
Pure 3 takes the trigonometry you met in Pure 1 and adds the three reciprocal functions, two new identities, and the formulae that let you split and double an angle. The ...
8 questions · 32 marks
Revise this topicDifferentiation
Pure 3 adds six new derivatives to the ones you know from Pure 1, and with them the three rules that let you differentiate almost anything: the chain rule, the product ru...
8 questions · 35 marks
Revise this topicIntegration
Pure 3 integration is reverse differentiation with a wider toolkit. Every standard result carries a factor you have to get right, and most questions are decided by the te...
8 questions · 28 marks
Revise this topicNumerical Solution of Equations
Not every equation can be solved by rearranging it. This topic is the numerical alternative: locate a root by finding where a continuous function changes sign, then close...
8 questions · 23 marks
Revise this topicVectors
Pure 3 vectors is a short topic with a long reach: the same five tools answer almost every question. You write vectors in column or component form, add them and scale the...
8 questions · 31 marks
Revise this topicDifferential Equations
A differential equation links a rate of change to the quantity itself. In this topic you turn a sentence about a rate into an equation with a constant of proportionality,...
8 questions · 37 marks
Revise this topicComplex Numbers
Complex numbers extend the real numbers with , where , so that equations such as have solutions. This page covers the notation Cambridge ...
8 questions · 28 marks
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