Edexcel · International GCSE · Mathematics B

October/November 2023 — Paper 1.

38 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
Similarity: areas and volumes of similar figures
Chord, angle and tangent properties of circles
The idea of a sequence
Fractions, decimals, ratio, proportion and percentage
Length of an arc, area of a sector of a circle
The basic processes of algebra
The ordinary processes of number manipulation
The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic
The construction, interpretation and use of formulae and their manipulation
Understand the language and basic concepts of probability
The factorisation of simple algebraic expressions
Natural numbers, integers and rational and irrational numbers
Simple manipulation of surds
Rationalising the denominator
Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line
Modulus (magnitude) of a vector
Venn diagrams and their use in simple logical problems
Prime numbers, factors, multiples
Solution of problems in two and three dimensions by calculation and by drawing
Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity
Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle
Applications to linear kinematics and to other simple practical problems
Use of the factor theorem
Algebraic division of a cubic by a linear factor
Determination of gradients, rates of change, maxima and minima, stationary points and turning points
Numbers in standard form
Multiplication of a matrix by a scalar
Recognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$
Addition and multiplication of matrices
Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space
Using simple conditional probability for combined events

Questions in this paper

Q1aSymmetry about a point, line or plane1 marksincludes a figure
Q1bSymmetry about a point, line or plane1 marksincludes a figure
Q2aNatural numbers, integers and rational and irrational numbers1 marks
Q2bNatural numbers, integers and rational and irrational numbers1 marks
Q3The idea of a sequence2 marks
Q4Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line2 marksincludes a figure
Q5Fractions, decimals, ratio, proportion and percentage2 marks
Q6The factorisation of simple algebraic expressions2 marks
Q7Prime numbers, factors, multiples2 marks
Q8Modulus (magnitude) of a vector2 marks
Q9The ordinary processes of number manipulation3 marks
Q10bVenn diagrams and their use in simple logical problems2 marks
Q10aVenn diagrams and their use in simple logical problems1 marksincludes a figure
Q11Numbers in standard form3 marks
Q12aRecognise that equations of the form $y = mx + c$ are straight-line graphs with gradient $m$ and intercept on the $y$-axis at the point $(0, c)$2 marksincludes a figure
Q12bSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space1 marksincludes a figure
Q13The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic3 marks
Q14bUnderstand the language and basic concepts of probability3 marks
Q14aUnderstand the language and basic concepts of probability1 marks
Q15Fractions, decimals, ratio, proportion and percentage4 marks
Q16Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle4 marksincludes a figure
Q17aMultiplication of a matrix by a scalar2 marks
Q17bAddition and multiplication of matrices2 marks
Q18Length of an arc, area of a sector of a circle4 marksincludes a figure
Q19Similarity: areas and volumes of similar figures4 marksincludes a figure
Q20Chord, angle and tangent properties of circles5 marksincludes a figure
Q21aThe basic processes of algebra3 marks
Q21bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q22aApplications to linear kinematics and to other simple practical problems2 marks
Q22bDetermination of gradients, rates of change, maxima and minima, stationary points and turning points3 marks
Q23Chord, angle and tangent properties of circles6 marksincludes a figure
Q24Using simple conditional probability for combined events6 marks
Q25The construction, interpretation and use of formulae and their manipulation3 marks
Q26Solution of problems in two and three dimensions by calculation and by drawing6 marksincludes a figure
Q27aSimple manipulation of surds1 marks
Q27bRationalising the denominator2 marks
Q28aUse of the factor theorem2 marks
Q28bAlgebraic division of a cubic by a linear factor4 marks

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