All Further Pure Mathematics papers

Edexcel · International GCSE · Further Pure Mathematics

October/November 2024 — Paper 1.

26 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

  • The graphical representation of linear inequalities in two variables
  • Applications to simple linear kinematics and to determination of areas and volumes
  • 6.A Use of the binomial series (1 + x)^n
  • Arithmetic and geometric series
  • Use of the sine and cosine formulae
  • The manipulation of quadratic expressions
  • Maxima and minima
  • Simple examples involving functions of the roots of a quadratic equation
  • Solution of simple trigonometric equations for a given interval
  • Identities and inequalities
  • 5.A Use of the \sum notation
  • Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)
  • The use of the basic addition formulae of trigonometry

Questions in this paper

  • Q1aThe graphical representation of linear inequalities in two variables2 marksincludes a figure
  • Q1bThe graphical representation of linear inequalities in two variables2 marksincludes a figure
  • Q2cArithmetic and geometric series4 marks
  • Q2b5.A Use of the \sum notation4 marks
  • Q2aArithmetic and geometric series5 marks
  • Q3Use of the sine and cosine formulae5 marks
  • Q4Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)6 marksincludes a figure
  • Q5cApplications to simple linear kinematics and to determination of areas and volumes5 marks
  • Q5aApplications to simple linear kinematics and to determination of areas and volumes3 marks
  • Q5bApplications to simple linear kinematics and to determination of areas and volumes2 marks
  • Q6b6.A Use of the binomial series (1 + x)^n4 marks
  • Q6c6.A Use of the binomial series (1 + x)^n3 marks
  • Q6a6.A Use of the binomial series (1 + x)^n2 marks
  • Q6d6.A Use of the binomial series (1 + x)^n3 marks
  • Q7aMaxima and minima4 marksincludes a figure
  • Q7bMaxima and minima5 marks
  • Q7cMaxima and minima2 marks
  • Q8i(b)Solution of simple trigonometric equations for a given interval5 marks
  • Q8iiSolution of simple trigonometric equations for a given interval4 marks
  • Q8i(a)The use of the basic addition formulae of trigonometry2 marks
  • Q9Applications to simple linear kinematics and to determination of areas and volumes10 marksincludes a figure
  • Q10aThe manipulation of quadratic expressions4 marks
  • Q10bThe manipulation of quadratic expressions1 marks
  • Q10cSimple examples involving functions of the roots of a quadratic equation6 marks
  • Q10eSimple examples involving functions of the roots of a quadratic equation6 marks
  • Q10dIdentities and inequalities1 marks

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