All Further Pure Mathematics papers
Edexcel · International GCSE · Further Pure Mathematics
May/June 2019 — Paper 2 · Replacement.
33 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
- Graphs of polynomials and rational functions with linear denominators
- Solution of simple trigonometric equations for a given interval
- 9.A Differentiation and integration of sums of multiples of powers of x (excluding integration of 1/x), sin ax, cos ax, e^{ax}
- Simple examples involving functions of the roots of a quadratic equation
- 6.A Use of the binomial series (1 + x)^n
- Applications to simple linear kinematics and to determination of areas and volumes
- Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)
- Arithmetic and geometric series
- The use of the basic addition formulae of trigonometry
- The roots of a quadratic equation
- The graphical representation of linear inequalities in two variables
- The manipulation of quadratic expressions
- Application of calculus to rates of change and connected rates of change
Questions in this paper
- Q1bThe roots of a quadratic equation5 marks
- Q1aThe manipulation of quadratic expressions2 marks
- Q2iGraphs of polynomials and rational functions with linear denominators1 marksincludes a figure
- Q2iiGraphs of polynomials and rational functions with linear denominators1 marksincludes a figure
- Q2iiiGraphs of polynomials and rational functions with linear denominators1 marksincludes a figure
- Q2ivGraphs of polynomials and rational functions with linear denominators1 marksincludes a figure
- Q3Application of calculus to rates of change and connected rates of change6 marksincludes a figure
- Q4aApplications to simple linear kinematics and to determination of areas and volumes3 marks
- Q4bApplications to simple linear kinematics and to determination of areas and volumes2 marks
- Q4cApplications to simple linear kinematics and to determination of areas and volumes3 marks
- Q5bThe graphical representation of linear inequalities in two variables1 marks
- Q5aThe graphical representation of linear inequalities in two variables3 marks
- Q5cThe graphical representation of linear inequalities in two variables3 marks
- Q6a6.A Use of the binomial series (1 + x)^n2 marks
- Q6b6.A Use of the binomial series (1 + x)^n3 marks
- Q6c6.A Use of the binomial series (1 + x)^n3 marks
- Q7a(ii)Arithmetic and geometric series1 marks
- Q7cArithmetic and geometric series4 marks
- Q7a(i)Arithmetic and geometric series2 marks
- Q7bArithmetic and geometric series4 marks
- Q8aApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)2 marksincludes a figure
- Q8bApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)3 marksincludes a figure
- Q8dApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)6 marksincludes a figure
- Q8cApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)2 marksincludes a figure
- Q9Applications to simple linear kinematics and to determination of areas and volumes9 marks
- Q10cSolution of simple trigonometric equations for a given interval5 marks
- Q10d9.A Differentiation and integration of sums of multiples of powers of x (excluding integration of 1/x), sin ax, cos ax, e^{ax}4 marks
- Q10bThe use of the basic addition formulae of trigonometry4 marks
- Q10aThe use of the basic addition formulae of trigonometry2 marks
- Q11a(i)Simple examples involving functions of the roots of a quadratic equation1 marks
- Q11a(ii)Simple examples involving functions of the roots of a quadratic equation4 marks
- Q11bSimple examples involving functions of the roots of a quadratic equation2 marks
- Q11cSimple examples involving functions of the roots of a quadratic equation5 marks
Enrolled students get the full paper bank for Further Pure Mathematics. See the course