All Further Pure Mathematics papers

Edexcel · International GCSE · Further Pure Mathematics

May/June 2024 — Paper 2 · Replacement.

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

  • Arithmetic and geometric series
  • The use of the basic addition formulae of trigonometry
  • Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables
  • Magnitude of a vector
  • The factor and remainder theorems
  • Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)
  • Stationary points and turning points
  • Applications to simple linear kinematics and to determination of areas and volumes
  • Application of calculus to rates of change and connected rates of change
  • The roots of a quadratic equation
  • The solution of equations and transcendental functions by graphical methods
  • The equations of tangents and normals to the curve $y = f(x)$
  • Unit vector
  • Use of the binomial series $(1 + x)^n$
  • Graphs of polynomials and rational functions with linear denominators

Questions in this paper

  • Q1The roots of a quadratic equation4 marks
  • Q2aUse of the binomial series $(1 + x)^n$4 marks
  • Q2bUse of the binomial series $(1 + x)^n$1 marks
  • Q3aMagnitude of a vector4 marks
  • Q3bUnit vector2 marks
  • Q4cSolutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables2 marks
  • Q4a(ii)The factor and remainder theorems3 marks
  • Q4bThe factor and remainder theorems3 marks
  • Q4a(i)The factor and remainder theorems3 marks
  • Q5Application of calculus to rates of change and connected rates of change6 marks
  • Q6The solution of equations and transcendental functions by graphical methods7 marksincludes a figure
  • Q7cSolutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables6 marks
  • Q7bThe equations of tangents and normals to the curve $y = f(x)$7 marks
  • Q7aGraphs of polynomials and rational functions with linear denominators1 marksincludes a figure
  • Q8cArithmetic and geometric series2 marks
  • Q8bArithmetic and geometric series1 marks
  • Q8dArithmetic and geometric series4 marks
  • Q8aArithmetic and geometric series7 marks
  • Q9Applications to simple linear kinematics and to determination of areas and volumes8 marksincludes a figure
  • Q10dApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)4 marks
  • Q10eApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)2 marks
  • Q10bApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)2 marks
  • Q10aApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)3 marksincludes a figure
  • Q10cApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)2 marks
  • Q11aThe use of the basic addition formulae of trigonometry2 marks
  • Q11cStationary points and turning points7 marks
  • Q11bThe use of the basic addition formulae of trigonometry3 marks

Enrolled students get the full paper bank for Further Pure Mathematics. See the course