Edexcel · International GCSE · Mathematics B

May/June 2023 — Paper 2 · Replacement.

40 structured questions · 100 marks

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

The mark scheme comes with the Mathematics B course.

Topics covered

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

Questions in this paper

Q1bFractions, decimals, ratio, proportion and percentage2 marks
Q1cFractions, decimals, ratio, proportion and percentage4 marks
Q1aWeights, measures and money2 marks
Q2aUnion and intersection of sets1 marks
Q2bVenn diagrams and their use in simple logical problems3 marks
Q3cSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space4 marksincludes a figure
Q3aSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space2 marks
Q3bSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space2 marks
Q4bNumbers in standard form2 marks
Q4aNumbers in standard form1 marks
Q4cNumbers in standard form2 marks
Q4dNumbers in standard form2 marks
Q5bSolution of problems in two and three dimensions by calculation and by drawing2 marksincludes a figure
Q5a(ii)Solution of problems in two and three dimensions by calculation and by drawing2 marksincludes a figure
Q5a(i)Solution of problems in two and three dimensions by calculation and by drawing3 marksincludes a figure
Q6aTransformations of the plane2 marksincludes a figure
Q6cMultiplication of a vector by a matrix3 marksincludes a figure
Q6bTransformations of the plane2 marksincludes a figure
Q6dTransformations of the plane2 marksincludes a figure
Q6e5.F Transformations of the plane associated with 2 x 2 matrices2 marks
Q7bApply vector methods to simple geometrical problems3 marksincludes a figure
Q7cApply vector methods to simple geometrical problems3 marksincludes a figure
Q7aSum and difference of two vectors1 marksincludes a figure
Q8aDomain and range of a function1 marks
Q8bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity4 marks
Q8cInverse functions6 marks
Q8dDomain and range of a function1 marks
Q8eComposite functions1 marks
Q9b4.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 zero2 marks
Q9aDetermination of gradients, rates of change, maxima and minima, stationary points and turning points5 marks
Q9c4.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 zero4 marksincludes a figure
Q9d4.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 zero4 marksincludes a figure
Q10aUnderstand the language and basic concepts of probability1 marks
Q10dUsing simple conditional probability for combined events5 marks
Q10bDetermination of the probability of two or more independent events2 marksincludes a figure
Q10cUse of product rule for two or more independent events2 marks
Q11bSimple manipulation of surds2 marks
Q11aSolution of problems in two and three dimensions by calculation and by drawing3 marksincludes a figure
Q11cSimple manipulation of surds2 marks
Q11dSimple manipulation of surds3 marks

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