Skip to content
S
Salam Academy
Learn
Past papers
Practise
Exam info
Search
Learn
Past papers
Practise
Exam info
Search
More ▾
Dark mode
Sign in
Create account
Learn
Cambridge
9709
2026–2027
Paper 3
Paper 3
Pure Mathematics 3
Algebra
Modulus graphs and equations · Modulus inequalities · Polynomials: division, factor and remainder theorems · Partial fractions · Binomial expansion for any rational n
5 subtopic lessons
Logarithmic and exponential functions
Laws of logarithms · The functions eˣ and ln x · Exponential equations and inequalities · Logarithmic equations · Exponential models and linear forms
5 subtopic lessons
Trigonometry
Reciprocal functions and their identities · Compound-angle formulae · Double-angle formulae · The R-form (harmonic form)
4 subtopic lessons
Differentiation
Derivatives of eˣ, ln x and trigonometric functions · The product and quotient rules · Implicit differentiation · Parametric differentiation · Stationary points and tangents
5 subtopic lessons
Integration
Integrating eˣ, 1/x and trigonometric functions · Integration using trigonometric identities · Exact definite integrals and logarithms · Integration by substitution · Integration by parts
5 subtopic lessons
Numerical solution of equations
Locating roots: sketches and sign changes · Fixed-point iteration · Rearrangements, staircases and cobwebs
3 subtopic lessons
Vectors
Position vectors, magnitude and unit vectors · The scalar product and angles · The vector equation of a line · Intersecting, parallel and skew lines · Foot of the perpendicular and shortest distances
5 subtopic lessons
Differential equations
Forming differential equations · Separating the variables · Particular solutions with harder integrals · Modelling with differential equations
4 subtopic lessons
Complex numbers
Arithmetic and conjugates · The Argand diagram, modulus and argument · Polar and exponential forms · Polynomial equations and square roots · Loci and regions in the Argand diagram
5 subtopic lessons