Edexcel · International GCSE
Mathematics B past papers.
Every paper below is practisable online — timed simulations for multiple choice, mark-scheme self-marking for written papers.
20 papers
20245 papers
May/June 2024
PDFPaper 1
38 structured · 100 marks
Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies · Length of an arc, area of a sector of a circle · Angle properties of parallel lines, triangles and polygons, including regular polygons · Fractions, decimals, ratio, proportion and percentage · Multiplication of a matrix by a scalar · Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$ · Expressing numbers to a given degree of accuracy · Angles of elevation and depression · Determinants and inverses of non-singular $2 \times 2$ matrices · The construction, interpretation and use of formulae and their manipulation · Determination of the mean, median and mode for a discrete data set · Understand the language and basic concepts of probability · Understand and use $SSS$, $SAS$, $ASA$ and $RHS$ conditions to prove the congruence of triangles · Sum and difference of two vectors · Addition and multiplication of matrices · Prime numbers, factors, multiples · Indices, powers and roots · Simple manipulation of surds · Solve problems using upper and lower bounds where values are given to a degree of accuracy · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · The factorisation of simple algebraic expressions · Apply vector methods to simple geometrical problems · Determination of a modal class and the class containing the median for grouped data · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Variation, direct and indirect proportion · Similarity: areas and volumes of similar figures
Practice questionsMay/June 2024
PDFPaper 1 · Replacement
35 structured · 100 marks
Loci in two dimensions · The idea of a sequence · Differentiation of integer powers of $x$ · Numbers in standard form · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Indices, powers and roots · Expressing numbers to a given degree of accuracy · Solution of problems in two and three dimensions by calculation and by drawing · Fractions, decimals, ratio, proportion and percentage · Graphical representation of numerical data · Using simple conditional probability for combined events · 6.F Use of Pythagoras' theorem in 2D and 3D · The construction, interpretation and use of formulae and their manipulation · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · Modulus (magnitude) of a vector · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Solution of linear simultaneous equations in two unknowns · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · Solve problems using upper and lower bounds where values are given to a degree of accuracy · Chord, angle and tangent properties of circles · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Rationalising the denominator · Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line · Determination of a modal class and the class containing the median for grouped data · Use of the factor theorem · Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies · Parallel vectors, unit vectors and position vectors · Simple manipulation of surds
Practice questionsMay/June 2024
PDFPaper 2
39 structured · 100 marks
Loci in two dimensions · Transformations of the plane · Applications to linear kinematics and to other simple practical problems · Numbers in standard form · Weights, measures and money · 4.J Graphs and graphical treatment of the equation: y = Ax^3 + Bx^2 + Cx + D + E/x + F/x^2... · Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line · Solution of problems in two and three dimensions by calculation and by drawing · Use of the factor theorem · Determination of the probability of two or more independent events · Using simple conditional probability for combined events · Venn diagrams and their use in simple logical problems · The factorisation of simple algebraic expressions · Understand the language and basic concepts of probability · 4.C Use functional notations of the form f(x) = ... and f : x -> ... · Understand and use the term 'expected frequency' · Domain and range of a function · Fractions, decimals, ratio, proportion and percentage · Inverse functions · Combination of transformations
Practice questionsMay/June 2024
PDFPaper 2 · Replacement
37 structured · 100 marks
Angle properties of parallel lines, triangles and polygons, including regular polygons · Transformations of the plane · Graphical representation of numerical data · Inverse functions · Graphs and graphical treatment of the equation: $y = Ax^3 + Bx^2 + Cx + D + \frac{E}{x} + \frac{F}{x^2}$ in which the constants are numerical and at least three of them are zero · Domain and range of a function · Weights, measures and money · Addition and multiplication of matrices · Chord, angle and tangent properties of circles · Fractions, decimals, ratio, proportion and percentage · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · 5.E Determinants and inverses of non-singular 2 x 2 matrices · Composite functions · 5.F Transformations of the plane associated with 2 x 2 matrices · Venn diagrams and their use in simple logical problems · Finding very simple conditional probability · Geometrical reasoning · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic · Indices, powers and roots · Use functional notations of the form $f(x) = \dots$ and $f : x \mapsto \dots$ · Determination of the mean, median and mode for a discrete data set
Practice questionsOctober/November 2024
PDFPaper 1
33 structured · 100 marks
Using simple conditional probability for combined events · 6.F Use Pythagoras' theorem in 2D and 3D · Fractions, decimals, ratio, proportion and percentage · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Angle properties of parallel lines, triangles and polygons, including regular polygons · Chord, angle and tangent properties of circles · Solve problems using upper and lower bounds where values are given to a degree of accuracy · Symmetry about a point, line or plane · Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line · Determination of the mean, median and mode for a discrete data set · Weights, measures and money · Understand and use the term 'expected frequency' · Prime numbers, factors, multiples · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · The factorisation of simple algebraic expressions · The construction, interpretation and use of formulae and their manipulation · Bearings · Numbers in standard form · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Use of the factor theorem · Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$ · Algebraic division of a cubic by a linear factor · 5.E Determinants and inverses of non-singular 2 x 2 matrices · Angles of elevation and depression · Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic · Addition and multiplication of matrices · Similarity: areas and volumes of similar figures
Practice questions
20234 papers
May/June 2023
PDFPaper 1 · Replacement
40 structured · 100 marks
Symmetry about a point, line or plane · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Fractions, decimals, ratio, proportion and percentage · The idea of a sequence · Chord, angle and tangent properties of circles · The construction, interpretation and use of formulae and their manipulation · The basic processes of algebra · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · The factorisation of simple algebraic expressions · Prime numbers, factors, multiples · Multiplication of a vector by a scalar · Determination of the mean, median and mode for a discrete data set · Loci in two dimensions · Differentiation of integer powers of $x$ · Similarity: areas and volumes of similar figures · 5.E Determinants and inverses of non-singular 2 x 2 matrices · Understand the language and basic concepts of probability · Addition and multiplication of matrices · Angle properties of parallel lines, triangles and polygons, including regular polygons · Solution of linear simultaneous equations in two unknowns · Solution of problems in two and three dimensions by calculation and by drawing · Length of an arc, area of a sector of a circle · Use of the factor theorem · Venn diagrams and their use in simple logical problems · 6.F Use of Pythagoras' theorem in 2D and 3D
Practice questionsMay/June 2023
PDFPaper 2 · Replacement
40 structured · 100 marks
Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Simple manipulation of surds · Solution of problems in two and three dimensions by calculation and by drawing · Transformations of the plane · Domain and range of a function · Apply vector methods to simple geometrical problems · Fractions, decimals, ratio, proportion and percentage · Union and intersection of sets · 4.J Graphs and graphical treatment of the equation: y = Ax^3 + Bx^2 + Cx + D + E/x + F/x^2 in which the constants are numerical and at least three of them are zero · Numbers in standard form · Venn diagrams and their use in simple logical problems · Weights, measures and money · Understand the language and basic concepts of probability · Using simple conditional probability for combined events · Multiplication of a vector by a matrix · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Inverse functions · Determination of the probability of two or more independent events · Use of product rule for two or more independent events · Composite functions · 5.F Transformations of the plane associated with 2 x 2 matrices · Sum and difference of two vectors · Determination of gradients, rates of change, maxima and minima, stationary points and turning points
Practice questionsOctober/November 2023
PDFPaper 1
38 structured · 100 marks
Symmetry about a point, line or plane · Similarity: areas and volumes of similar figures · Chord, angle and tangent properties of circles · The idea of a sequence · Fractions, decimals, ratio, proportion and percentage · Length of an arc, area of a sector of a circle · The basic processes of algebra · The ordinary processes of number manipulation · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · The construction, interpretation and use of formulae and their manipulation · Understand the language and basic concepts of probability · The factorisation of simple algebraic expressions · Natural numbers, integers and rational and irrational numbers · Simple manipulation of surds · Rationalising the denominator · Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line · Modulus (magnitude) of a vector · Venn diagrams and their use in simple logical problems · Prime numbers, factors, multiples · Solution of problems in two and three dimensions by calculation and by drawing · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Applications to linear kinematics and to other simple practical problems · Use of the factor theorem · Algebraic division of a cubic by a linear factor · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Numbers in standard form · Multiplication of a matrix by a scalar · Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$ · Addition and multiplication of matrices · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Using simple conditional probability for combined events
Practice questionsOctober/November 2023
PDFPaper 2
39 structured · 100 marks
Solution of linear simultaneous equations in two unknowns · Inverse functions · Union and intersection of sets · Numbers in standard form · Solution of problems in two and three dimensions by calculation and by drawing · Complementary sets · The gradients of graphs above by drawing · The ordinary processes of number manipulation · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · Indices, powers and roots · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Solve problems using upper and lower bounds where values are given to a degree of accuracy · Apply vector methods to simple geometrical problems · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Domain and range of a function · Transformations of the plane · Similarity: areas and volumes of similar figures · Composite functions · 5.F Transformations of the plane associated with 2 x 2 matrices · 4.J Graphs and graphical treatment of the equation: y = Ax^3 + Bx^2 + Cx + D + E/x + F/x^2 in which the constants are numerical and at least three of them are zero · Angles of elevation and depression · Determination of a modal class and the class containing the median for grouped data · Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies · 6.F Use of Pythagoras' theorem in 2D and 3D · Understand the language and basic concepts of probability · 4.C Use functional notations of the form f(x) = ... and f : x |-> ... · Graphical representation of numerical data · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Sum and difference of two vectors
Practice questions
20211 paper
20203 papers
January 2020
PDFPaper 1
35 structured · 100 marks
Angle properties of parallel lines, triangles and polygons, including regular polygons · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Solution of problems in two and three dimensions by calculation and by drawing · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Fractions, decimals, ratio, proportion and percentage · Using simple conditional probability for combined events · Numbers in standard form · Determination of a modal class and the class containing the median for grouped data · Chord, angle and tangent properties of circles · Length of an arc, area of a sector of a circle · Determination of the mean, median and mode for a discrete data set · The idea of a sequence · Complementary sets · Algebraic division of a cubic by a linear factor · Bearings · Union and intersection of sets · Domain and range of a function · Solution of linear simultaneous equations in two unknowns · The factorisation of simple algebraic expressions · Addition and multiplication of matrices · Multiplication of a matrix by a scalar · Modulus (magnitude) of a vector · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies · Properties of a cyclic quadrilateral · Indices, powers and roots · Composite functions · Solve problems using upper and lower bounds where values are given to a degree of accuracy · Similarity: areas and volumes of similar figures · Apply vector methods to simple geometrical problems
Practice questionsJanuary 2020
PDFPaper 1 · Replacement
40 structured · 100 marks
Symmetry about a point, line or plane · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Fractions, decimals, ratio, proportion and percentage · Prime numbers, factors, multiples · Graphical representation of numerical data · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · Variation, direct and indirect proportion · Differentiation of integer powers of $x$ · Determination of the mean, median and mode for a discrete data set · Domain and range of a function · Similarity: areas and volumes of similar figures · The factorisation of simple algebraic expressions · Applications to linear kinematics and to other simple practical problems · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · The idea of a sequence · Numbers in standard form · 10.K Understand and use the term 'expected frequency'. · Solution of problems in two and three dimensions by calculation and by drawing · Addition and multiplication of matrices · Subsets · The construction, interpretation and use of formulae and their manipulation · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · Chord, angle and tangent properties of circles · 6.F Use of Pythagoras' theorem in 2D and 3D · Number of elements in a set · Set language and notation · Rationalising the denominator · Weights, measures and money
Practice questionsJanuary 2020
PDFPaper 2
37 structured · 100 marks
Transformations of the plane · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Prime numbers, factors, multiples · Domain and range of a function · Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Numbers in standard form · Determination of the probability of two or more independent events · Weights, measures and money · Combination of transformations · Use of the factor theorem · Solution of problems in two and three dimensions by calculation and by drawing · Using simple conditional probability for combined events · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · Solve quadratic inequalities in one unknown and represent the solution set on a number line · The basic processes of algebra · Graphs and graphical treatment of the equation: $y = Ax^3 + Bx^2 + Cx + D + \frac{E}{x} + \frac{F}{x^2}$ in which the constants are numerical and at least three of them are zero · Fractions, decimals, ratio, proportion and percentage · The construction, interpretation and use of formulae and their manipulation · Inverse functions
Practice questions
20193 papers
May/June 2019
PDFPaper 1
41 structured · 100 marks
Symmetry about a point, line or plane · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Determination of the probability of two or more independent events · Expressing numbers to a given degree of accuracy · Domain and range of a function · Differentiation of integer powers of $x$ · Fractions, decimals, ratio, proportion and percentage · Indices, powers and roots · Properties of a cyclic quadrilateral · Prime numbers, factors, multiples · Composite functions · Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$ · Graphical representation of numerical data · Weights, measures and money · Understand and use $SSS$, $SAS$, $ASA$ and $RHS$ conditions to prove the congruence of triangles · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · Angle properties of parallel lines, triangles and polygons, including regular polygons · Applications to linear kinematics and to other simple practical problems · The basic processes of algebra · Sum and difference of two vectors · The idea of a sequence · Solve problems using upper and lower bounds where values are given to a degree of accuracy · The factorisation of simple algebraic expressions · Apply vector methods to simple geometrical problems · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · Chord, angle and tangent properties of circles · The construction, interpretation and use of formulae and their manipulation · Understand and use the term 'expected frequency' · Determinants and inverses of non-singular $2 \times 2$ matrices · Venn diagrams and their use in simple logical problems · Understand the language and basic concepts of probability · Number of elements in a set · Use of sine, cosine and tangent of angles up to $180^\circ$
Practice questionsMay/June 2019
PDFPaper 1 · Replacement
36 structured · 100 marks
Determination of the mean, median and mode for a discrete data set · Numbers in standard form · Variation, direct and indirect proportion · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Indices, powers and roots · Bearings · Solution of problems in two and three dimensions by calculation and by drawing · Use of the factor theorem · Simple manipulation of surds · Fractions, decimals, ratio, proportion and percentage · Multiplication of a matrix by a scalar · Chord, angle and tangent properties of circles · Angle properties of parallel lines, triangles and polygons, including regular polygons · Graphical representation of numerical data · Solve problems using upper and lower bounds where values are given to a degree of accuracy · Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · The construction, interpretation and use of formulae and their manipulation · Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$ · Differentiation of integer powers of $x$ · Understand and use $SSS$, $SAS$, $ASA$ and $RHS$ conditions to prove the congruence of triangles · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Prime numbers, factors, multiples · The idea of a sequence · Rationalising the denominator · Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line · Solution of linear simultaneous equations in two unknowns
Practice questionsMay/June 2019
PDFPaper 2
37 structured · 100 marks
Chord, angle and tangent properties of circles · 5.F Transformations of the plane associated with 2 x 2 matrices · Solution of problems in two and three dimensions by calculation and by drawing · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Solve quadratic inequalities in one unknown and represent the solution set on a number line · The construction, interpretation and use of formulae and their manipulation · Using simple conditional probability for combined events · Graphs and graphical treatment of the equation: $y = Ax^3 + Bx^2 + Cx + D + \frac{E}{x} + \frac{F}{x^2}$ in which the constants are numerical and at least three of them are zero · Length of an arc, area of a sector of a circle · Numbers in standard form · 7.C Mensuration of three-dimensional shapes, right circular cone and sphere, cuboid, pyramid, prism · Fractions, decimals, ratio, proportion and percentage · Transformations of the plane · Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies · Graphical representation of numerical data · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Subsets · Determination of the probability of two or more independent events · Sum and difference of two vectors · Modulus (magnitude) of a vector · 5.E Determinants and inverses of non-singular 2 x 2 matrices · 4.L Differentiation of integer powers of x · Solution of linear simultaneous equations in two unknowns · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Similarity: areas and volumes of similar figures
Practice questions
20184 papers
May/June 2018
PDFPaper 1
37 structured · 100 marks
Symmetry about a point, line or plane · Indices, powers and roots · Natural numbers, integers and rational and irrational numbers · Numbers in standard form · Simple manipulation of surds · Bearings · Fractions, decimals, ratio, proportion and percentage · The idea of a sequence · Transformations of the plane · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic · 5.E Determinants and inverses of non-singular 2 \times 2 matrices · Chord, angle and tangent properties of circles · The construction, interpretation and use of formulae and their manipulation · Solve quadratic inequalities in one unknown and represent the solution set on a number line · Solve problems using upper and lower bounds where values are given to a degree of accuracy · Applications to linear kinematics and to other simple practical problems · Variation, direct and indirect proportion · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · The basic processes of algebra · 4.I Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient m and intercept on the y-axis at the point (0, c) · Modulus (magnitude) of a vector · Graphical representation of numerical data · 6.J Understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles · Length of an arc, area of a sector of a circle · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Using simple conditional probability for combined events · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Similarity: areas and volumes of similar figures · Solution of problems in two and three dimensions by calculation and by drawing
Practice questionsMay/June 2018
PDFPaper 1 · Replacement
37 structured · 100 marks
Differentiation of integer powers of $x$ · The basic processes of algebra · Variation, direct and indirect proportion · Graphical representation of numerical data · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Indices, powers and roots · Addition and multiplication of matrices · Solve problems using upper and lower bounds where values are given to a degree of accuracy · Modulus (magnitude) of a vector · Similarity: areas and volumes of similar figures · Use of the factor theorem · The factorisation of simple algebraic expressions · Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$ · Understand the language and basic concepts of probability · Apply vector methods to simple geometrical problems · Understand and use the term 'expected frequency' · Fractions, decimals, ratio, proportion and percentage · Chord, angle and tangent properties of circles · Length of an arc, area of a sector of a circle · Angle properties of parallel lines, triangles and polygons, including regular polygons · Solution of linear simultaneous equations in two unknowns · The construction, interpretation and use of formulae and their manipulation · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Rationalising the denominator · Sum and difference of two vectors · Numbers in standard form · Determination of the probability of two or more independent events · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic
Practice questionsMay/June 2018
PDFPaper 2
40 structured · 100 marks
Fractions, decimals, ratio, proportion and percentage · Use functional notations of the form $f(x) = \dots$ and $f : x \mapsto \dots$ · Domain and range of a function · Use of the factor theorem · Determination of the mean, median and mode for a discrete data set · Transformations of the plane associated with $2 \times 2$ matrices · Graphs and graphical treatment of the equation: $y = Ax^3 + Bx^2 + Cx + D + \frac{E}{x} + \frac{F}{x^2}$ in which the constants are numerical and at least three of them are zero · Algebraic division of a cubic by a linear factor · Transformations of the plane · Differentiation of integer powers of $x$ · Determination of the probability of two or more independent events · Number of elements in a set · Union and intersection of sets · Inverse functions · Solution of problems in two and three dimensions by calculation and by drawing · Sum and difference of two vectors · Determinants and inverses of non-singular $2 \times 2$ matrices · Multiplication of a vector by a matrix · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · Use of symbols to represent sets · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · The gradients of graphs above by drawing · Apply vector methods to simple geometrical problems · Finding very simple conditional probability · Addition and multiplication of matrices
Practice questionsMay/June 2018
PDFPaper 2 · Replacement
32 structured · 96 marks
Fractions, decimals, ratio, proportion and percentage · Using simple conditional probability for combined events · Use functional notations of the form $f(x) = \dots$ and $f : x \mapsto \dots$ · The construction, interpretation and use of formulae and their manipulation · Venn diagrams and their use in simple logical problems · Composite functions · Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space · Weights, measures and money · Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic · Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism · Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies · Domain and range of a function · Solution of problems in two and three dimensions by calculation and by drawing · Transformations of the plane associated with $2 \times 2$ matrices · Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle · Determination of gradients, rates of change, maxima and minima, stationary points and turning points · Graphs and graphical treatment of the equation: $y = Ax^3 + Bx^2 + Cx + D + \frac{E}{x} + \frac{F}{x^2}$ in which the constants are numerical and at least three of them are zero · Finding very simple conditional probability · Chord, angle and tangent properties of circles · Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity · Inverse functions · Combination of transformations
Practice questions