All Mathematics B papers

Edexcel · International GCSE · Mathematics B

January 2020 — Paper 1 · 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

  • Symmetry about a point, line or plane
  • Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space
  • Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle
  • Fractions, decimals, ratio, proportion and percentage
  • Prime numbers, factors, multiples
  • Graphical representation of numerical data
  • Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism
  • Variation, direct and indirect proportion
  • Differentiation of integer powers of $x$
  • Determination of the mean, median and mode for a discrete data set
  • Domain and range of a function
  • Similarity: areas and volumes of similar figures
  • The factorisation of simple algebraic expressions
  • Applications to linear kinematics and to other simple practical problems
  • Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity
  • The idea of a sequence
  • Numbers in standard form
  • 10.K Understand and use the term 'expected frequency'.
  • Solution of problems in two and three dimensions by calculation and by drawing
  • Addition and multiplication of matrices
  • Subsets
  • The construction, interpretation and use of formulae and their manipulation
  • The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic
  • Chord, angle and tangent properties of circles
  • 6.F Use of Pythagoras' theorem in 2D and 3D
  • Number of elements in a set
  • Set language and notation
  • Rationalising the denominator
  • Weights, measures and money

Questions in this paper

  • Q1Fractions, decimals, ratio, proportion and percentage2 marks
  • Q2The idea of a sequence2 marks
  • Q3Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
  • Q4The factorisation of simple algebraic expressions2 marks
  • Q5iiDomain and range of a function1 marks
  • Q5iDomain and range of a function1 marks
  • Q6Numbers in standard form2 marks
  • Q7Differentiation of integer powers of $x$2 marks
  • Q8aSymmetry about a point, line or plane1 marksincludes a figure
  • Q8bSymmetry about a point, line or plane1 marksincludes a figure
  • Q9Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space3 marks
  • Q10Determination of the mean, median and mode for a discrete data set3 marks
  • Q11iiPrime numbers, factors, multiples1 marks
  • Q11iPrime numbers, factors, multiples2 marks
  • Q1210.K Understand and use the term 'expected frequency'.3 marks
  • Q13Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space3 marksincludes a figure
  • Q14Subsets3 marks
  • Q15The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic3 marks
  • Q166.F Use of Pythagoras' theorem in 2D and 3D3 marks
  • Q17Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle3 marksincludes a figure
  • Q18Rationalising the denominator3 marks
  • Q19Weights, measures and money4 marks
  • Q20aAddition and multiplication of matrices2 marks
  • Q20bAddition and multiplication of matrices2 marks
  • Q21bGraphical representation of numerical data3 marksincludes a figure
  • Q21aGraphical representation of numerical data1 marks
  • Q22a(i)Number of elements in a set1 marksincludes a figure
  • Q22a(ii)Set language and notation1 marksincludes a figure
  • Q22b(i)Number of elements in a set1 marksincludes a figure
  • Q22b(ii)Set language and notation1 marksincludes a figure
  • Q23Variation, direct and indirect proportion4 marks
  • Q24aSimilarity: areas and volumes of similar figures3 marks
  • Q24bFractions, decimals, ratio, proportion and percentage2 marks
  • Q25The construction, interpretation and use of formulae and their manipulation5 marks
  • Q26Chord, angle and tangent properties of circles5 marksincludes a figure
  • Q27Applications to linear kinematics and to other simple practical problems5 marksincludes a figure
  • Q28aMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle3 marksincludes a figure
  • Q28bMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle4 marksincludes a figure
  • Q29bMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism4 marksincludes a figure
  • Q29aSolution of problems in two and three dimensions by calculation and by drawing3 marksincludes a figure

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