The course

• 1

  Start here

  12 questions in 3 hours, the best six counting

  Free: A tour of the papersFree: Choosing questions and writing solutions
• 2

  Algebra, inequalities and functions

  Section A, Pure

  Proving an inequality8 problems
• 3

  Sequences, series and induction

  Section A, Pure

  Sums that collapse7 problems
• 4

  Differentiation and curve sketching

  Section A, Pure

  Sketching without a calculator7 problems
• 5

  Integration

  Section A, Pure

  Free: Integrals that use symmetry9 problems
• 6

  Trigonometry and coordinate geometry

  Section A, Pure

  Identities as tools5 problems
• 7

  Complex numbers and matrices

  Section A, Pure

  Roots of unity7 problems
• 8

  Vectors

  Section A, Pure

  Lines, planes and distances5 problems
• 9

  Proof and number

  Section A, Pure

  Proof by contradiction6 problems
• 10

  Hyperbolic functions, polar curves and Maclaurin series

  Section A, Pure

  Hyperbolic functions at work5 problems
• 11

  Differential equations

  Section A, Pure

  Second-order equations5 problems
• 12

  Forces, motion and centre of mass

  Section B, Mechanics

  Equilibrium and moments8 problems
• 13

  Energy, collisions and oscillations

  Section B, Mechanics

  Collisions and restitution8 problems
• 14

  Probability and discrete distributions

  Section C, Probability and Statistics

  Games and recurrences8 problems
• 15

  Continuous distributions

  Section C, Probability and Statistics

  Density and distribution functions8 problems
• 16

  Timed papers

  Four full papers, two for each of STEP 2 and STEP 3, in 3 hours each

  The papers