Edexcel · International GCSE · Mathematics B

May/June 2018 — Paper 1 · Replacement.

37 structured questions · 100 marks

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

The mark scheme comes with the Mathematics B course.

Topics covered

Differentiation of integer powers of $x$
The basic processes of algebra
Variation, direct and indirect proportion
Graphical representation of numerical data
Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity
Indices, powers and roots
Addition and multiplication of matrices
Solve problems using upper and lower bounds where values are given to a degree of accuracy
Modulus (magnitude) of a vector
Similarity: areas and volumes of similar figures
Use of the factor theorem
The factorisation of simple algebraic expressions
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 $(0, c)$
Understand the language and basic concepts of probability
Apply vector methods to simple geometrical problems
Understand and use the term 'expected frequency'
Fractions, decimals, ratio, proportion and percentage
Chord, angle and tangent properties of circles
Length of an arc, area of a sector of a circle
Angle properties of parallel lines, triangles and polygons, including regular polygons
Solution of linear simultaneous equations in two unknowns
The construction, interpretation and use of formulae and their manipulation
Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space
Rationalising the denominator
Sum and difference of two vectors
Numbers in standard form
Determination of the probability of two or more independent events
Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism
The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic

Questions in this paper

Q1Fractions, decimals, ratio, proportion and percentage2 marks
Q2Angle properties of parallel lines, triangles and polygons, including regular polygons2 marks
Q3Numbers in standard form2 marks
Q4Differentiation of integer powers of $x$2 marks
Q5Rationalising the denominator2 marks
Q6Angle properties of parallel lines, triangles and polygons, including regular polygons3 marksincludes a figure
Q7Solution of linear simultaneous equations in two unknowns3 marks
Q8Determination of the probability of two or more independent events3 marks
Q9Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity3 marks
Q10Solve problems using upper and lower bounds where values are given to a degree of accuracy3 marks
Q11The construction, interpretation and use of formulae and their manipulation3 marks
Q12Indices, powers and roots3 marks
Q13Similarity: areas and volumes of similar figures3 marksincludes a figure
Q14aRecognise 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)$3 marksincludes a figure
Q14bSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space1 marksincludes a figure
Q15Fractions, decimals, ratio, proportion and percentage4 marks
Q16aThe basic processes of algebra2 marks
Q16bIndices, powers and roots2 marks
Q17Chord, angle and tangent properties of circles4 marksincludes a figure
Q18bModulus (magnitude) of a vector2 marks
Q18aSum and difference of two vectors2 marks
Q19The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic4 marks
Q20Apply vector methods to simple geometrical problems4 marksincludes a figure
Q21Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism5 marksincludes a figure
Q22aVariation, direct and indirect proportion3 marks
Q22bVariation, direct and indirect proportion2 marks
Q23aThe basic processes of algebra2 marks
Q23bSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity3 marks
Q24aUse of the factor theorem2 marks
Q24bThe factorisation of simple algebraic expressions3 marks
Q25cGraphical representation of numerical data2 marks
Q25aUnderstand the language and basic concepts of probability2 marks
Q25bUnderstand and use the term 'expected frequency'2 marks
Q26aAddition and multiplication of matrices2 marks
Q26bAddition and multiplication of matrices2 marks
Q26cAddition and multiplication of matrices2 marks
Q27Length of an arc, area of a sector of a circle6 marksincludes a figure

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