Maths B

Maths 4MB1 — specification explorer

All 98 specification statements from the official Pearson Edexcel specification, as printed — filter by paper, unit or tier exactly as Pearson Edexcel assesses them.

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98 spec points

Paper

Assessment homes come from the parsed Pearson specification (content summaries & assessment overviews). Hover a chip for the printed rule. Filters appear only where the qualification has that structure — a linear IGCSE has no unit scope, and only Maths A splits Foundation / Higher tiers.

1. Number

1AThe ordinary processes of number manipulation4MB1/014MB1/02
1BPrime numbers, factors, multiples4MB1/014MB1/02
1CIndices, powers and roots4MB1/014MB1/02
1DSimple manipulation of surds4MB1/014MB1/02
1ERationalising the denominator4MB1/014MB1/02
1FNatural numbers, integers and rational and irrational numbers4MB1/014MB1/02
1GWeights, measures and money4MB1/014MB1/02
1HFractions, decimals, ratio, proportion and percentage4MB1/014MB1/02
1IExpressing numbers to a given degree of accuracy4MB1/014MB1/02
1JSolve problems using upper and lower bounds where values are given to a degree of accuracy4MB1/014MB1/02
1KNumbers in standard form4MB1/014MB1/02

2. Sets

1. Sets

2AThe idea of a set4MB1/014MB1/02
2BSet language and notation4MB1/014MB1/02
2CUnion and intersection of sets4MB1/014MB1/02
2DNumber of elements in a set4MB1/014MB1/02
2EComplementary sets4MB1/014MB1/02
2FSubsets4MB1/014MB1/02
2GUniversal set, null set4MB1/014MB1/02
2HVenn diagrams and their use in simple logical problems4MB1/014MB1/02
2IUse of symbols to represent sets4MB1/014MB1/02

3. Algebra

1. Algebra

3AThe basic processes of algebra4MB1/014MB1/02
3BThe construction, interpretation and use of formulae and their manipulation4MB1/014MB1/02
3CThe factorisation of simple algebraic expressions4MB1/014MB1/02
3DUse of the factor theorem4MB1/014MB1/02
3EAlgebraic division of a cubic by a linear factor4MB1/014MB1/02
3FThe manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic4MB1/014MB1/02
3GSolution of equations of 1st, 2nd and 3rd degree containing one unknown quantity4MB1/014MB1/02
3HSolution of linear simultaneous equations in two unknowns4MB1/014MB1/02
3ISolve simultaneous equations in two unknowns, one equation being linear and the other being quadratic4MB1/014MB1/02
3JSolution of linear inequalities, and the representations of solutions on the number line and two-dimensional space4MB1/014MB1/02
3KSolve quadratic inequalities in one unknown and represent the solution set on a number line4MB1/014MB1/02
3LThe idea of a sequence4MB1/014MB1/02

4. Functions

1. Functions

4AThe idea of a function of a variable4MB1/014MB1/02
4BFunction as a mapping or as a correspondence between the elements of two sets4MB1/014MB1/02
4CUse functional notations of the form f(x) =… andf:x ↦ …4MB1/014MB1/02
4DDomain and range of a function4MB1/014MB1/02
4EComposite functions4MB1/014MB1/02
4FInverse functions4MB1/014MB1/02
4GVariation, direct and indirect proportion4MB1/014MB1/02
4HRectangular Cartesian co-ordinates4MB1/014MB1/02
4IRecognise that equations of the form y = mx + c are straight–line graphs with gradientm and intercept on they-axis at the point(0,c)4MB1/014MB1/02
4JGraphs and graphical treatment of the equation: 3 2 E F y = Ax + Bx + Cx + D + + x x in which the constants are numerical and at least three of them are zero4MB1/014MB1/02
4KThe gradients of graphs above by drawing4MB1/014MB1/02
4LDifferentiation of integer powers ofx4MB1/014MB1/02
4MDetermination of gradients, rates of change, maxima and minima, stationary points and turning points4MB1/014MB1/02
4NApplications to linear kinematics and to other simple practical problems4MB1/014MB1/02

5. Matrices

1. Matrices

5ARepresentation of data by a matrix4MB1/014MB1/02
5BAddition and multiplication of matrices4MB1/014MB1/02
5CMultiplication of a matrix by a scalar4MB1/014MB1/02
5DUnit (identity) matrix and zero (null) matrix4MB1/014MB1/02
5EDeterminants and inverses of non-singular 2 × 2 matrices4MB1/014MB1/02
5FTransformations of the plane associated with2 × 2 matrices4MB1/014MB1/02
5GCombination of transformations4MB1/014MB1/02

6. Geometry

1. Geometry

6AGeometrical properties of Euclidean space, as listed below4MB1/014MB1/02
6BGeometrical reasoning4MB1/014MB1/02
6CAngle properties of parallel lines, triangles and polygons, including regular polygons4MB1/014MB1/02
6DProperties of the parallelogram, rectangle, square, rhombus, trapezium and kite4MB1/014MB1/02
6ESymmetry about a point, line or plane4MB1/014MB1/02
6FUse of Pythagoras’ theorem in 2D and 3D4MB1/014MB1/02
6GSimilarity: areas and volumes of similar figures4MB1/014MB1/02
6HProve the similarity of two triangles4MB1/014MB1/02
6ICongruent shapes4MB1/014MB1/02
6JUnderstand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles4MB1/014MB1/02
6KChord, angle and tangent properties of circles4MB1/014MB1/02
6LProperties of a cyclic quadrilateral4MB1/014MB1/02
6MLoci in two dimensions4MB1/014MB1/02
6NConstructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line4MB1/014MB1/02

7. Mensuration

1. Mensuration

7ALength, area, and volume4MB1/014MB1/02
7BMensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle4MB1/014MB1/02
7CMensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism4MB1/014MB1/02
7DLength of an arc, area of a sector of a circle4MB1/014MB1/02

8. Vectors and transformation geometry

1. Vectors and transformation geometry

8AScalar and vector quantities4MB1/014MB1/02
8BUnderstand and use vector notation4MB1/014MB1/02
8CRepresentation of a vector by a directed line segment4MB1/014MB1/02
8DParallel vectors, unit vectors and position vectors4MB1/014MB1/02
8ESum and difference of two vectors4MB1/014MB1/02
8FModulus (magnitude) of a vector4MB1/014MB1/02
8GMultiplication of a vector by a scalar4MB1/014MB1/02
8HFind the resultant of two or more vectors4MB1/014MB1/02
8IApply vector methods to simple geometrical problems4MB1/014MB1/02
8JTransformations of the plane4MB1/014MB1/02
8KCombination of transformations4MB1/014MB1/02
8LMultiplication of a vector by a matrix4MB1/014MB1/02

9. Trigonometry

1. Trigonometry

9AUse of sine, cosine and tangent of angles up to 180°4MB1/014MB1/02
9BSolution of problems in two and three dimensions by calculation and by drawing4MB1/014MB1/02
9CAngles of elevation and depression4MB1/014MB1/02
9DBearings4MB1/014MB1/02

10. Statistics and probability

1. Statistics and probability

10AGraphical representation of numerical data4MB1/014MB1/02
10BDetermination of the mean, median and mode for a discrete data set4MB1/014MB1/02
10CCalculation of an estimate of the mean of a larger number of quantities given in grouped frequencies4MB1/014MB1/02
10DDetermination of a modal class and the class containing the median for grouped data4MB1/014MB1/02
10EUnderstand the language and basic concepts of probability4MB1/014MB1/02
10FUse of addition rule for two or more mutually exclusive events4MB1/014MB1/02
10GUse of product rule for two or more independent events4MB1/014MB1/02
10HDetermination of the probability of two or more independent events4MB1/014MB1/02
10IUsing simple conditional probability for combined events4MB1/014MB1/02
10JFinding very simple conditional probability4MB1/014MB1/02
10KUnderstand and use the term ‘expected frequency’4MB1/014MB1/02