All Further Pure Mathematics papers

Edexcel · International GCSE · Further Pure Mathematics

October/November 2020 — Paper 2.

27 structured questions · 100 marks

Download question paper (PDF)Mark scheme — for enrolled students

The mark scheme comes with the Further Pure Mathematics course.

Topics covered

  • Applications to simple linear kinematics and to determination of areas and volumes
  • Use of the $\sum$ notation
  • Graphs of polynomials and rational functions with linear denominators
  • Arithmetic and geometric series
  • The use of the basic addition formulae of trigonometry
  • Use of the binomial series $(1 + x)^n$
  • The equations of tangents and normals to the curve $y = f(x)$
  • Differentiation and integration of sums of multiples of powers of $x$ (excluding integration of $\frac{1}{x}$), $\sin ax$, $\cos ax$, $e^{ax}$
  • Solution of simple trigonometric equations for a given interval
  • Use and properties of indices and logarithms, including change of base
  • Stationary points and turning points
  • Simple examples involving functions of the roots of a quadratic equation

Questions in this paper

  • Q1Applications to simple linear kinematics and to determination of areas and volumes4 marks
  • Q2Applications to simple linear kinematics and to determination of areas and volumes4 marks
  • Q3bUse of the binomial series $(1 + x)^n$2 marks
  • Q3aUse of the binomial series $(1 + x)^n$3 marks
  • Q4iUse and properties of indices and logarithms, including change of base2 marks
  • Q4iiUse and properties of indices and logarithms, including change of base5 marks
  • Q5cUse of the $\sum$ notation3 marks
  • Q5bUse of the $\sum$ notation2 marks
  • Q5aUse of the $\sum$ notation3 marks
  • Q6bSimple examples involving functions of the roots of a quadratic equation5 marks
  • Q6aSimple examples involving functions of the roots of a quadratic equation6 marks
  • Q7bArithmetic and geometric series2 marks
  • Q7cArithmetic and geometric series2 marks
  • Q7dArithmetic and geometric series3 marks
  • Q7aArithmetic and geometric series5 marks
  • Q8cThe equations of tangents and normals to the curve $y = f(x)$6 marks
  • Q8aThe equations of tangents and normals to the curve $y = f(x)$4 marks
  • Q8bThe equations of tangents and normals to the curve $y = f(x)$5 marks
  • Q9aGraphs of polynomials and rational functions with linear denominators3 marks
  • Q9cStationary points and turning points6 marks
  • Q9bGraphs of polynomials and rational functions with linear denominators4 marks
  • Q9dGraphs of polynomials and rational functions with linear denominators5 marks
  • Q10dThe use of the basic addition formulae of trigonometry3 marks
  • Q10eDifferentiation and integration of sums of multiples of powers of $x$ (excluding integration of $\frac{1}{x}$), $\sin ax$, $\cos ax$, $e^{ax}$4 marks
  • Q10cSolution of simple trigonometric equations for a given interval4 marks
  • Q10aThe use of the basic addition formulae of trigonometry2 marks
  • Q10bThe use of the basic addition formulae of trigonometry3 marks

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