Edexcel · International GCSE · Mathematics B

January 2020 — 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

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

Questions in this paper

Q1cPrime numbers, factors, multiples1 marks
Q1aPrime numbers, factors, multiples1 marks
Q1bPrime numbers, factors, multiples1 marks
Q1dNumbers in standard form2 marks
Q2aTransformations of the plane1 marksincludes a figure
Q2cTransformations of the plane2 marksincludes a figure
Q2dTransformations of the plane2 marksincludes a figure
Q2bTransformations of the plane2 marksincludes a figure
Q3bMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle4 marksincludes a figure
Q3aMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle3 marksincludes a figure
Q4aSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q4bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity4 marks
Q5aDetermination of the probability of two or more independent events3 marksincludes a figure
Q5bDetermination of the probability of two or more independent events2 marks
Q5cDetermination of the probability of two or more independent events2 marks
Q5dUsing simple conditional probability for combined events3 marks
Q6cDomain and range of a function1 marks
Q6eSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity3 marks
Q6fUse of the factor theorem2 marks
Q6gSolve simultaneous equations in two unknowns, one equation being linear and the other being quadratic4 marks
Q6aDomain and range of a function1 marks
Q6bThe basic processes of algebra2 marks
Q6dInverse functions2 marks
Q7bDetermination of gradients, rates of change, maxima and minima, stationary points and turning points4 marksincludes a figure
Q7aMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism3 marksincludes a figure
Q7cGraphs 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
Q8cSolve simultaneous equations in two unknowns, one equation being linear and the other being quadratic5 marksincludes a figure
Q8bThe construction, interpretation and use of formulae and their manipulation3 marksincludes a figure
Q8aThe construction, interpretation and use of formulae and their manipulation2 marksincludes a figure
Q9Combination of transformations5 marks
Q10aSolution of problems in two and three dimensions by calculation and by drawing5 marks
Q10bMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle3 marksincludes a figure
Q11Solve quadratic inequalities in one unknown and represent the solution set on a number line7 marks
Q12dWeights, measures and money3 marks
Q12aFractions, decimals, ratio, proportion and percentage2 marks
Q12cWeights, measures and money4 marks
Q12bFractions, decimals, ratio, proportion and percentage2 marks

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