Edexcel · International GCSE · Mathematics B

May/June 2019 — Paper 2.

37 structured questions · 100 marks

Download question paper (PDF)Mark scheme — for enrolled students

The mark scheme comes with the Mathematics B course.

Topics covered

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

Questions in this paper

Q1bCalculation of an estimate of the mean of a larger number of quantities given in grouped frequencies4 marks
Q1aGraphical representation of numerical data2 marks
Q2bNumbers in standard form2 marks
Q2cFractions, decimals, ratio, proportion and percentage2 marks
Q2dFractions, decimals, ratio, proportion and percentage2 marks
Q2aFractions, decimals, ratio, proportion and percentage2 marks
Q3aChord, angle and tangent properties of circles3 marksincludes a figure
Q3bLength of an arc, area of a sector of a circle3 marksincludes a figure
Q4d5.F Transformations of the plane associated with 2 x 2 matrices3 marksincludes a figure
Q4aTransformations of the plane1 marksincludes a figure
Q4bTransformations of the plane2 marksincludes a figure
Q4cTransformations of the plane3 marksincludes a figure
Q4e5.E Determinants and inverses of non-singular 2 x 2 matrices3 marks
Q5aSolution of problems in two and three dimensions by calculation and by drawing3 marksincludes a figure
Q5bSolution of problems in two and three dimensions by calculation and by drawing3 marksincludes a figure
Q5cSimilarity: areas and volumes of similar figures4 marksincludes a figure
Q6Subsets4 marks
Q7bUsing simple conditional probability for combined events3 marks
Q7aDetermination of the probability of two or more independent events3 marks
Q7cDetermination of the probability of two or more independent events2 marks
Q8bMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle2 marksincludes a figure
Q8cSolve quadratic inequalities in one unknown and represent the solution set on a number line6 marks
Q8aThe construction, interpretation and use of formulae and their manipulation2 marksincludes a figure
Q9b(i)Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q9b(ii)Sum and difference of two vectors2 marks
Q9cModulus (magnitude) of a vector3 marks
Q9aModulus (magnitude) of a vector5 marks
Q10aThe construction, interpretation and use of formulae and their manipulation1 marks
Q10b4.L Differentiation of integer powers of x3 marks
Q10cSolution of linear simultaneous equations in two unknowns3 marks
Q10dDetermination of gradients, rates of change, maxima and minima, stationary points and turning points3 marks
Q11eGraphs 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 zero1 marksincludes a figure
Q11b7.C Mensuration of three-dimensional shapes, right circular cone and sphere, cuboid, pyramid, prism3 marksincludes a figure
Q11fGraphs 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 zero3 marksincludes a figure
Q11cGraphs 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 zero3 marks
Q11dGraphs 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 zero2 marksincludes a figure
Q11aSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space2 marksincludes a figure

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