All Mathematics B papers

Edexcel · International GCSE · Mathematics B

January 2021 — Paper 1.

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

  • Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle
  • Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism
  • Graphical representation of numerical data
  • Addition and multiplication of matrices
  • Fractions, decimals, ratio, proportion and percentage
  • The construction, interpretation and use of formulae and their manipulation
  • Determination of the mean, median and mode for a discrete data set
  • Solution of linear simultaneous equations in two unknowns
  • Chord, angle and tangent properties of circles
  • Solution of problems in two and three dimensions by calculation and by drawing
  • Indices, powers and roots
  • Use of the factor theorem
  • The factorisation of simple algebraic expressions
  • Angle properties of parallel lines, triangles and polygons, including regular polygons
  • The basic processes of algebra
  • Composite functions
  • Algebraic division of a cubic by a linear factor
  • Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line
  • The idea of a sequence
  • Inverse functions
  • Numbers in standard form
  • Solve problems using upper and lower bounds where values are given to a degree of accuracy
  • Applications to linear kinematics and to other simple practical problems
  • Rationalising the denominator
  • Using simple conditional probability for combined events
  • Loci in two dimensions

Questions in this paper

  • Q1Fractions, decimals, ratio, proportion and percentage2 marks
  • Q2Fractions, decimals, ratio, proportion and percentage2 marks
  • Q3Angle properties of parallel lines, triangles and polygons, including regular polygons2 marks
  • Q4The construction, interpretation and use of formulae and their manipulation2 marks
  • Q5Addition and multiplication of matrices2 marks
  • Q6Determination of the mean, median and mode for a discrete data set3 marks
  • Q7Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle3 marksincludes a figure
  • Q8aFractions, decimals, ratio, proportion and percentage1 marks
  • Q8bFractions, decimals, ratio, proportion and percentage2 marks
  • Q9Solution of problems in two and three dimensions by calculation and by drawing3 marksincludes a figure
  • Q10The idea of a sequence3 marks
  • Q11aThe factorisation of simple algebraic expressions1 marks
  • Q11bThe factorisation of simple algebraic expressions2 marks
  • Q12Solve problems using upper and lower bounds where values are given to a degree of accuracy3 marks
  • Q13Rationalising the denominator3 marks
  • Q14Using simple conditional probability for combined events3 marks
  • Q15bIndices, powers and roots2 marks
  • Q15aThe basic processes of algebra2 marks
  • Q16aThe factorisation of simple algebraic expressions2 marks
  • Q16bThe factorisation of simple algebraic expressions2 marks
  • Q17aNumbers in standard form2 marks
  • Q17bNumbers in standard form2 marks
  • Q18Solution of linear simultaneous equations in two unknowns4 marks
  • Q19aUse of the factor theorem2 marks
  • Q19bAlgebraic division of a cubic by a linear factor2 marks
  • Q20aConstructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line2 marksincludes a figure
  • Q20bConstructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line2 marksincludes a figure
  • Q20cLoci in two dimensions1 marksincludes a figure
  • Q21Chord, angle and tangent properties of circles5 marksincludes a figure
  • Q22bMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism3 marksincludes a figure
  • Q22aMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism2 marksincludes a figure
  • Q23Graphical representation of numerical data5 marksincludes a figure
  • Q24aComposite functions2 marks
  • Q24bComposite functions2 marks
  • Q24cInverse functions1 marks
  • Q24dInverse functions3 marks
  • Q25bSolution of problems in two and three dimensions by calculation and by drawing2 marks
  • Q25aSolution of problems in two and three dimensions by calculation and by drawing6 marksincludes a figure
  • Q26aApplications to linear kinematics and to other simple practical problems4 marks
  • Q26bApplications to linear kinematics and to other simple practical problems3 marks

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