Edexcel · International GCSE · Mathematics B

May/June 2018 — Paper 2 · Replacement.

32 structured questions · 96 marks

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

The mark scheme comes with the Mathematics B course.

Topics covered

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

Questions in this paper

Q1aThe construction, interpretation and use of formulae and their manipulation2 marksincludes a figure
Q1bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity3 marks
Q2aGraphs 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 marks
Q3aMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism5 marksincludes a figure
Q3bMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism2 marks
Q4bUse functional notations of the form $f(x) = \dots$ and $f : x \mapsto \dots$1 marks
Q4cComposite functions2 marks
Q4aDomain and range of a function1 marks
Q4dInverse functions3 marks
Q5aSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space2 marks
Q5bSolve simultaneous equations in two unknowns, one equation being linear and the other being quadratic5 marks
Q5cSolve simultaneous equations in two unknowns, one equation being linear and the other being quadratic1 marks
Q6Determination of gradients, rates of change, maxima and minima, stationary points and turning points8 marks
Q7cVenn diagrams and their use in simple logical problems1 marks
Q7aVenn diagrams and their use in simple logical problems3 marksincludes a figure
Q7dFinding very simple conditional probability2 marks
Q7bVenn diagrams and their use in simple logical problems2 marks
Q8aTransformations of the plane associated with $2 \times 2$ matrices4 marksincludes a figure
Q8bTransformations of the plane associated with $2 \times 2$ matrices3 marksincludes a figure
Q8cCombination of transformations2 marks
Q9b(ii)Using simple conditional probability for combined events3 marks
Q9aCalculation of an estimate of the mean of a larger number of quantities given in grouped frequencies4 marks
Q9b(i)Using simple conditional probability for combined events2 marks
Q10bFractions, decimals, ratio, proportion and percentage2 marks
Q10aFractions, decimals, ratio, proportion and percentage2 marks
Q10cWeights, measures and money2 marks
Q10eFractions, decimals, ratio, proportion and percentage3 marks
Q10dWeights, measures and money3 marks
Q11bSolution of problems in two and three dimensions by calculation and by drawing5 marks
Q11aSolution of problems in two and three dimensions by calculation and by drawing5 marksincludes a figure
Q12bMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle7 marks
Q12aChord, angle and tangent properties of circles4 marksincludes a figure

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