Edexcel · International GCSE · Mathematics B

May/June 2019 — Paper 1 · Replacement.

36 structured questions · 100 marks

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

The mark scheme comes with the Mathematics B course.

Topics covered

Determination of the mean, median and mode for a discrete data set
Numbers in standard form
Variation, direct and indirect proportion
Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity
Indices, powers and roots
Bearings
Solution of problems in two and three dimensions by calculation and by drawing
Use of the factor theorem
Simple manipulation of surds
Fractions, decimals, ratio, proportion and percentage
Multiplication of a matrix by a scalar
Chord, angle and tangent properties of circles
Angle properties of parallel lines, triangles and polygons, including regular polygons
Graphical representation of numerical data
Solve problems using upper and lower bounds where values are given to a degree of accuracy
Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies
Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism
The construction, interpretation and use of formulae and their manipulation
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 $(0, c)$
Differentiation of integer powers of $x$
Understand and use $SSS$, $SAS$, $ASA$ and $RHS$ conditions to prove the congruence of triangles
Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space
Prime numbers, factors, multiples
The idea of a sequence
Rationalising the denominator
Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line
Solution of linear simultaneous equations in two unknowns

Questions in this paper

Q1Prime numbers, factors, multiples2 marks
Q2The idea of a sequence2 marks
Q3Determination of the mean, median and mode for a discrete data set2 marks
Q4Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism2 marksincludes a figure
Q5Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q6The construction, interpretation and use of formulae and their manipulation2 marks
Q7Fractions, decimals, ratio, proportion and percentage2 marks
Q8Chord, angle and tangent properties of circles2 marksincludes a figure
Q9Differentiation of integer powers of $x$2 marks
Q10Simple manipulation of surds2 marks
Q11Chord, angle and tangent properties of circles2 marksincludes a figure
Q12Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space3 marksincludes a figure
Q13Fractions, decimals, ratio, proportion and percentage3 marks
Q14Multiplication of a matrix by a scalar3 marks
Q15bNumbers in standard form2 marks
Q15aNumbers in standard form2 marks
Q16Solve problems using upper and lower bounds where values are given to a degree of accuracy3 marksincludes a figure
Q17Angle properties of parallel lines, triangles and polygons, including regular polygons4 marksincludes a figure
Q18bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity2 marks
Q18aThe construction, interpretation and use of formulae and their manipulation2 marks
Q19Angle properties of parallel lines, triangles and polygons, including regular polygons3 marks
Q20Rationalising the denominator3 marksincludes a figure
Q21Solution of linear simultaneous equations in two unknowns4 marks
Q22Understand and use $SSS$, $SAS$, $ASA$ and $RHS$ conditions to prove the congruence of triangles4 marksincludes a figure
Q23Indices, powers and roots4 marks
Q24bBearings2 marksincludes a figure
Q24cSolution of problems in two and three dimensions by calculation and by drawing1 marksincludes a figure
Q24aConstructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line2 marksincludes a figure
Q25Recognise 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)$5 marks
Q26aUse of the factor theorem2 marks
Q26bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity4 marks
Q27Solution of problems in two and three dimensions by calculation and by drawing6 marksincludes a figure
Q28bGraphical representation of numerical data4 marksincludes a figure
Q28aCalculation of an estimate of the mean of a larger number of quantities given in grouped frequencies4 marks
Q29aVariation, direct and indirect proportion3 marks
Q29bVariation, direct and indirect proportion3 marks

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