Edexcel · International GCSE
Further Pure Mathematics past papers.
Every paper below is practisable online — timed simulations for multiple choice, mark-scheme self-marking for written papers.
15 papers
20246 papers
May/June 2024
PDFPaper 1
27 structured · 100 marks
Use of the sine and cosine formulae · Applications to simple linear kinematics and to determination of areas and volumes · Arithmetic and geometric series · Use and properties of indices and logarithms, including change of base · The point dividing a line in a given ratio · Graphs of polynomials and rational functions with linear denominators · Calculus · Application of calculus to rates of change and connected rates of change · Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables · The equations of tangents and normals to the curve $y = f(x)$ · The manipulation of quadratic expressions · The distance between two points · The condition for two lines to be parallel or to be perpendicular · Rectangular Cartesian coordinates
Practice questionsMay/June 2024
PDFPaper 1 · Replacement
29 structured · 100 marks
Arithmetic and geometric series · The use of the basic addition formulae of trigonometry · Use of vectors to establish simple properties of geometrical figures · The straight line and its equation · The point dividing a line in a given ratio · Applications to simple linear kinematics and to determination of areas and volumes · The condition for two lines to be parallel or to be perpendicular · The distance between two points · Simple inequalities, linear and quadratic · Simple examples involving functions of the roots of a quadratic equation · Radian measure, including use for arc length and area of sector · The functions $a^x$ and $\log_b x$ (where $b$ is a natural number greater than one) · Use and properties of indices and logarithms, including change of base · Use of the sine and cosine formulae · The addition and subtraction of coplanar vectors and the multiplication of a vector by a scalar · Use of the binomial series $(1 + x)^n$ · Solution of simple trigonometric equations for a given interval · Rationalising the denominator
Practice questionsMay/June 2024
PDFPaper 2
26 structured · 100 marks
Solution of simple trigonometric equations for a given interval · Differentiation and integration of sums of multiples of powers of $x$ (excluding integration of $\frac{1}{x}$), $\sin ax$, $\cos ax$, $e^{ax}$ · Simple examples involving functions of the roots of a quadratic equation · Radian measure, including use for arc length and area of sector · Use of vectors to establish simple properties of geometrical figures · The use of the basic addition formulae of trigonometry · Maxima and minima · Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes) · The solution of equations and transcendental functions by graphical methods · Applications to simple linear kinematics and to determination of areas and volumes · Use of the sine and cosine formulae · Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables · Use of the binomial series $(1 + x)^n$ · The factor and remainder theorems · Differentiation of a product, quotient and simple cases of a function of a function
Practice questionsMay/June 2024
PDFPaper 2 · Replacement
27 structured · 100 marks
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
Practice questionsOctober/November 2024
PDFPaper 1
26 structured · 100 marks
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
Practice questionsOctober/November 2024
PDFPaper 2
29 structured · 100 marks
Radian measure, including use for arc length and area of sector · Graphs of polynomials and rational functions with linear denominators · The factor and remainder theorems · The solution of equations and transcendental functions by graphical methods · Arithmetic and geometric series · Use of vectors to establish simple properties of geometrical figures · Use and properties of indices and logarithms, including change of base · Applications to simple linear kinematics and to determination of areas and volumes · Simple inequalities, linear and quadratic · The use of the basic addition formulae of trigonometry · The equations of tangents and normals to the curve $y = f(x)$ · Differentiation of a product, quotient and simple cases of a function of a function · Application of calculus to rates of change and connected rates of change · Differentiation and integration of sums of multiples of powers of $x$ (excluding integration of $\frac{1}{x}$), $\sin ax$, $\cos ax$, $e^{ax}$
Practice questions
20232 papers
May/June 2023
PDFPaper 2 · Replacement
30 structured · 100 marks
Simple inequalities, linear and quadratic · Unit vector · The roots of a quadratic equation · The distance between two points · Maxima and minima · Graphs of polynomials and rational functions with linear denominators · Magnitude of a vector · Applications to simple linear kinematics and to determination of areas and volumes · The straight line and its equation · The equations of tangents and normals to the curve $y = f(x)$ · Simple examples involving functions of the roots of a quadratic equation · Use and properties of indices and logarithms, including change of base · The use of the basic addition formulae of trigonometry · Solution of simple trigonometric equations for a given interval · The condition for two lines to be parallel or to be perpendicular · Radian measure, including use for arc length and area of sector
Practice questionsOctober/November 2023
PDFPaper 1
26 structured · 100 marks
Differentiation of a product, quotient and simple cases of a function of a function · Use of the binomial series $(1 + x)^n$ · The manipulation of quadratic expressions · Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes) · Differentiation and integration of sums of multiples of powers of $x$ (excluding integration of $\frac{1}{x}$), $\sin ax$, $\cos ax$, $e^{ax}$ · The factor and remainder theorems · Arithmetic and geometric series · Use of the identity $\tan \theta = \frac{\sin \theta}{\cos \theta}$ · The condition for two lines to be parallel or to be perpendicular · Solution of simple trigonometric equations for a given interval · Use and properties of indices and logarithms, including change of base · Applications to simple linear kinematics and to determination of areas and volumes · The straight line and its equation · The use of the basic addition formulae of trigonometry · Simple manipulation of surds · Application of calculus to rates of change and connected rates of change
Practice questions
20204 papers
January 2020
PDFPaper 2
27 structured · 100 marks
Differentiation of a product, quotient and simple cases of a function of a function · Unit vector · The use of the basic addition formulae of trigonometry · The equations of tangents and normals to the curve $y = f(x)$ · Simple examples involving functions of the roots of a quadratic equation · Graphs of polynomials and rational functions with linear denominators · 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 · 10.E The identity \cos^2 \theta + \sin^2 \theta = 1 · Simple inequalities, linear and quadratic · Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables · Magnitude of a vector · The roots of a quadratic equation · Application of calculus to rates of change and connected rates of change · Use of vectors to establish simple properties of geometrical figures
Practice questionsJanuary 2020
PDFPaper 2 · Replacement
31 structured · 100 marks
Simple examples involving functions of the roots of a quadratic equation · Arithmetic and geometric series · Applications to simple linear kinematics and to determination of areas and volumes · Radian measure, including use for arc length and area of sector · Use of the binomial series $(1 + x)^n$ · Differentiation and integration of sums of multiples of powers of $x$ (excluding integration of $\frac{1}{x}$), $\sin ax$, $\cos ax$, $e^{ax}$ · The straight line and its equation · The use of the basic addition formulae of trigonometry · The graphical representation of linear inequalities in two variables · Solution of simple trigonometric equations for a given interval · Graphs of polynomials and rational functions with linear denominators · Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes) · Use of the sine and cosine formulae · Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables · Application of calculus to rates of change and connected rates of change
Practice questionsOctober/November 2020
PDFPaper 1
31 structured · 100 marks
Differentiation of a product, quotient and simple cases of a function of a function · The distance between two points · The equations of tangents and normals to the curve $y = f(x)$ · Arithmetic and geometric series · Use of the sine and cosine formulae · The manipulation of quadratic expressions · The use of the basic addition formulae of trigonometry · Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes) · The solution of equations and transcendental functions by graphical methods · Application of calculus to rates of change and connected rates of change · Rectangular Cartesian coordinates · Radian measure, including use for arc length and area of sector · Trigonometry · The condition for two lines to be parallel or to be perpendicular · The addition and subtraction of coplanar vectors and the multiplication of a vector by a scalar · The graphical representation of linear inequalities in two variables · Use of vectors to establish simple properties of geometrical figures · Applications to simple linear kinematics and to determination of areas and volumes · Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables
Practice questionsOctober/November 2020
PDFPaper 2
27 structured · 100 marks
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
Practice questions
20193 papers
May/June 2019
PDFPaper 1 · Replacement
32 structured · 100 marks
Arithmetic and geometric series · Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables · The solution of equations and transcendental functions by graphical methods · Maxima and minima · The manipulation of quadratic expressions · The straight line and its equation · Radian measure, including use for arc length and area of sector · The distance between two points · Use of the sine and cosine formulae · Use of vectors to establish simple properties of geometrical figures · The condition for two lines to be parallel or to be perpendicular · Application of calculus to rates of change and connected rates of change · The addition and subtraction of coplanar vectors and the multiplication of a vector by a scalar · The equations of tangents and normals to the curve $y = f(x)$ · Use and properties of indices and logarithms, including change of base · Differentiation of a product, quotient and simple cases of a function of a function · The point dividing a line in a given ratio · Unit vector · Applications to simple linear kinematics and to determination of areas and volumes · Use of the $\sum$ notation
Practice questionsMay/June 2019
PDFPaper 2
32 structured · 100 marks
Arithmetic and geometric series · Applications to simple linear kinematics and to determination of areas and volumes · Stationary points and turning points · Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables · Differentiation of a product, quotient and simple cases of a function of a function · Rectangular Cartesian coordinates · Simple examples involving functions of the roots of a quadratic equation · Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes) · Calculus · Application of calculus to rates of change and connected rates of change · Use of the sine and cosine formulae · Unit vector · The distance between two points · Position vector
Practice questionsMay/June 2019
PDFPaper 2 · Replacement
33 structured · 100 marks
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
Practice questions