Edexcel · International GCSE · Mathematics B

May/June 2024 — Paper 1 · Replacement.

35 structured questions · 100 marks

Download question paper (PDF)Mark scheme — for enrolled students

The mark scheme comes with the Mathematics B course.

Topics covered

Loci in two dimensions
The idea of a sequence
Differentiation of integer powers of $x$
Numbers in standard form
Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity
Indices, powers and roots
Expressing numbers to a given degree of accuracy
Solution of problems in two and three dimensions by calculation and by drawing
Fractions, decimals, ratio, proportion and percentage
Graphical representation of numerical data
Using simple conditional probability for combined events
6.F Use of Pythagoras' theorem in 2D and 3D
The construction, interpretation and use of formulae and their manipulation
Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism
Modulus (magnitude) of a vector
Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle
Solution of linear simultaneous equations in two unknowns
The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic
Solve problems using upper and lower bounds where values are given to a degree of accuracy
Chord, angle and tangent properties of circles
Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space
Rationalising the denominator
Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line
Determination of a modal class and the class containing the median for grouped data
Use of the factor theorem
Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies
Parallel vectors, unit vectors and position vectors
Simple manipulation of surds

Questions in this paper

Q1Fractions, decimals, ratio, proportion and percentage2 marks
Q2bExpressing numbers to a given degree of accuracy1 marks
Q2aExpressing numbers to a given degree of accuracy1 marks
Q3Indices, powers and roots2 marks
Q4bThe idea of a sequence1 marks
Q4aThe idea of a sequence1 marks
Q5Numbers in standard form2 marks
Q6Indices, powers and roots2 marks
Q7Fractions, decimals, ratio, proportion and percentage3 marks
Q8Differentiation of integer powers of $x$3 marks
Q9Solve problems using upper and lower bounds where values are given to a degree of accuracy3 marks
Q10Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space4 marksincludes a figure
Q11aLoci in two dimensions1 marksincludes a figure
Q11bConstructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line2 marksincludes a figure
Q11cLoci in two dimensions1 marksincludes a figure
Q126.F Use of Pythagoras' theorem in 2D and 3D4 marksincludes a figure
Q13Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle4 marksincludes a figure
Q14Solution of linear simultaneous equations in two unknowns4 marks
Q15The construction, interpretation and use of formulae and their manipulation4 marks
Q16Chord, angle and tangent properties of circles4 marksincludes a figure
Q17bModulus (magnitude) of a vector2 marks
Q17aParallel vectors, unit vectors and position vectors2 marks
Q18aDetermination of a modal class and the class containing the median for grouped data1 marks
Q18bCalculation of an estimate of the mean of a larger number of quantities given in grouped frequencies4 marks
Q19Graphical representation of numerical data5 marksincludes a figure
Q20aSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity3 marks
Q20bThe construction, interpretation and use of formulae and their manipulation2 marks
Q21Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism5 marksincludes a figure
Q22bRationalising the denominator3 marks
Q22aSimple manipulation of surds2 marks
Q23bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity4 marks
Q23aUse of the factor theorem2 marks
Q24Using simple conditional probability for combined events6 marks
Q25Solution of problems in two and three dimensions by calculation and by drawing5 marksincludes a figure
Q26The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic5 marks

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