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Pure Maths 3 past papers

9709/31/O/N/21 · Pure Maths 3 October/November 2021 Paper 31

10 questions, 75 marks. Each one links to its official mark scheme.

  1. Question 1 · 4 marks · Equations and inequalities with unknown indices
  2. Question 2 · 5 marks · R sin(x + a) and R cos(x + a)
  3. Question 3 · 6 marks · Product and quotient rules
  4. Question 4 · 6 marks · Integration by substitution
  5. Question 5 · 6 marks · Compound and double angle formulae
  6. Question 6 · 6 marks · Binomial expansion for any rational n
  7. Question 7 · 9 marks · Derivatives of standard functions, Separating variables
  8. Question 8 · 10 marks · Integration by parts, Locating roots, Iteration
  9. Question 9 · 11 marks · Scalar product, Intersecting, parallel and skew lines
  10. Question 10 · 12 marks · Complex roots of polynomials, Loci in the Argand diagram

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.