Edexcel · International GCSE · Mathematics B

May/June 2023 — 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 equations of 1st, 2nd and 3rd degree containing one unknown quantity
Fractions, decimals, ratio, proportion and percentage
The idea of a sequence
Chord, angle and tangent properties of circles
The construction, interpretation and use of formulae and their manipulation
The basic processes of algebra
Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism
The factorisation of simple algebraic expressions
Prime numbers, factors, multiples
Multiplication of a vector by a scalar
Determination of the mean, median and mode for a discrete data set
Loci in two dimensions
Differentiation of integer powers of $x$
Similarity: areas and volumes of similar figures
5.E Determinants and inverses of non-singular 2 x 2 matrices
Understand the language and basic concepts of probability
Addition and multiplication of matrices
Angle properties of parallel lines, triangles and polygons, including regular polygons
Solution of linear simultaneous equations in two unknowns
Solution of problems in two and three dimensions by calculation and by drawing
Length of an arc, area of a sector of a circle
Use of the factor theorem
Venn diagrams and their use in simple logical problems
6.F Use of Pythagoras' theorem in 2D and 3D

Questions in this paper

Q1Prime numbers, factors, multiples2 marks
Q2Fractions, decimals, ratio, proportion and percentage2 marks
Q3aThe basic processes of algebra1 marks
Q3bThe basic processes of algebra1 marks
Q4aSymmetry about a point, line or plane1 marksincludes a figure
Q4bSymmetry about a point, line or plane1 marksincludes a figure
Q5aThe idea of a sequence1 marks
Q5bThe idea of a sequence1 marks
Q6The factorisation of simple algebraic expressions2 marks
Q7aDetermination of the mean, median and mode for a discrete data set1 marks
Q7bDetermination of the mean, median and mode for a discrete data set2 marks
Q8Angle properties of parallel lines, triangles and polygons, including regular polygons3 marks
Q9The construction, interpretation and use of formulae and their manipulation2 marks
Q10Differentiation of integer powers of $x$3 marks
Q11Length of an arc, area of a sector of a circle3 marksincludes a figure
Q12Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity3 marks
Q13Multiplication of a vector by a scalar3 marks
Q14bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity3 marks
Q14aFractions, decimals, ratio, proportion and percentage1 marks
Q15Solution of linear simultaneous equations in two unknowns4 marks
Q16Fractions, decimals, ratio, proportion and percentage4 marks
Q17bSimilarity: areas and volumes of similar figures3 marks
Q17aFractions, decimals, ratio, proportion and percentage2 marks
Q18Loci in two dimensions4 marksincludes a figure
Q19cUnderstand the language and basic concepts of probability1 marks
Q19aVenn diagrams and their use in simple logical problems2 marksincludes a figure
Q19bVenn diagrams and their use in simple logical problems2 marks
Q20Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism5 marksincludes a figure
Q21bSolution of problems in two and three dimensions by calculation and by drawing2 marks
Q21a6.F Use of Pythagoras' theorem in 2D and 3D3 marksincludes a figure
Q22Use of the factor theorem5 marks
Q23aChord, angle and tangent properties of circles2 marksincludes a figure
Q23bChord, angle and tangent properties of circles4 marks
Q24Determination of the mean, median and mode for a discrete data set6 marks
Q25a5.E Determinants and inverses of non-singular 2 x 2 matrices2 marks
Q25b(i)Addition and multiplication of matrices2 marks
Q25cAddition and multiplication of matrices2 marks
Q25b(ii)Addition and multiplication of matrices1 marks
Q26aChord, angle and tangent properties of circles4 marksincludes a figure
Q26bSimilarity: areas and volumes of similar figures4 marks

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