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Pure Maths 3 past papers

9709/31/M/J/25 · Pure Maths 3 May/June 2025 Paper 31

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

  1. Question 1 · 3 marks · Modulus
  2. Question 2 · 3 marks · Laws of logarithms
  3. Question 3 · 6 marks · Cartesian form and arithmetic
  4. Question 4 · 6 marks · Parametric and implicit differentiation
  5. Question 5 · 5 marks · Factor and remainder theorems
  6. Question 6 · 6 marks · Modulus, argument and polar form
  7. Question 7 · 8 marks · R sin(x + a) and R cos(x + a)
  8. Question 8 · 9 marks · Equation of a line, Intersecting, parallel and skew lines, Scalar product
  9. Question 9 · 10 marks · Integration by parts, Locating roots, Iteration
  10. Question 10 · 8 marks · Polynomial division, Separating variables
  11. Question 11 · 11 marks · Product and quotient rules, Integration using trigonometric identities

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