Edexcel · International GCSE · Mathematics B

October/November 2023 — Paper 2.

39 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 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

Questions in this paper

Q1aNumbers in standard form1 marks
Q1cNumbers in standard form2 marks
Q1bNumbers in standard form1 marks
Q1dThe ordinary processes of number manipulation2 marks
Q1fIndices, powers and roots3 marks
Q1eMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle2 marks
Q2Solution of linear simultaneous equations in two unknowns6 marksincludes a figure
Q3aUnion and intersection of sets1 marks
Q3cComplementary sets2 marks
Q3bUnion and intersection of sets1 marks
Q4aSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q4b(i)Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q4b(ii)Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q5bSolve problems using upper and lower bounds where values are given to a degree of accuracy3 marks
Q5aSolve problems using upper and lower bounds where values are given to a degree of accuracy4 marks
Q6aDetermination of a modal class and the class containing the median for grouped data1 marks
Q6bCalculation of an estimate of the mean of a larger number of quantities given in grouped frequencies4 marks
Q6cUnderstand the language and basic concepts of probability1 marks
Q6dGraphical representation of numerical data3 marksincludes a figure
Q7bTransformations of the plane3 marksincludes a figure
Q7cSimilarity: areas and volumes of similar figures1 marks
Q7d5.F Transformations of the plane associated with 2 x 2 matrices5 marksincludes a figure
Q7aTransformations of the plane2 marksincludes a figure
Q8dThe gradients of graphs above by drawing2 marksincludes a figure
Q8a4.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
Q8b4.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 marksincludes a figure
Q8c4.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 zero3 marksincludes a figure
Q9bApply vector methods to simple geometrical problems4 marksincludes a figure
Q9cApply vector methods to simple geometrical problems4 marksincludes a figure
Q9aSum and difference of two vectors4 marksincludes a figure
Q10dSolution of problems in two and three dimensions by calculation and by drawing4 marksincludes a figure
Q10aMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism2 marksincludes a figure
Q10bAngles of elevation and depression3 marksincludes a figure
Q10c6.F Use of Pythagoras' theorem in 2D and 3D2 marksincludes a figure
Q11eInverse functions7 marks
Q11cDomain and range of a function1 marks
Q11dComposite functions2 marks
Q11a4.C Use functional notations of the form f(x) = ... and f : x |-> ...1 marks
Q11bDetermination of gradients, rates of change, maxima and minima, stationary points and turning points3 marks

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