Specification points
Edexcel International GCSE (9–1) Mathematics A 4MA1
334 points in 2 topics, with Edexcel's codes and titles.
Grade boundaries·Edexcel command words
Codes and titles are read by a script from Edexcel's published specification and have not been checked by a person. What each point covers is in the specification itself: Edexcel’s specification.
F Foundation Tier
- F-1 Numbers and the number system
- F-1.1 Integers
- F-1.1.A Positive, negative and zero integers
- F-1.1.B Place value
- F-1.1.C Directed numbers in practical situations
- F-1.1.D Ordering integers
- F-1.1.E The four rules of arithmetic
- F-1.1.F Brackets and order of operations
- F-1.1.G Odd, even, prime numbers, factors and multiples
- F-1.1.H Prime factors, common factors and common multiples
- F-1.2 Fractions
- F-1.2.A Equivalent fractions and simplifying
- F-1.2.B Mixed numbers and vulgar fractions
- F-1.2.C Common denominators
- F-1.2.D Ordering fractions; a fraction of a quantity
- F-1.2.E One number as a fraction of another
- F-1.2.F Adding and subtracting fractions and mixed numbers
- F-1.2.G Converting fractions to decimals and percentages
- F-1.2.H Unit fractions as multiplicative inverses
- F-1.2.I Multiplying and dividing fractions and mixed numbers
- F-1.3 Decimals
- F-1.3.A Decimal notation
- F-1.3.B Place value
- F-1.3.C Ordering decimals
- F-1.3.D Converting decimals to fractions and percentages
- F-1.3.E Terminating decimals as fractions
- F-1.4 Powers and roots
- F-1.4.A Square and cube numbers
- F-1.4.B Squares, square roots, cubes and cube roots
- F-1.4.C Index notation and index laws
- F-1.4.D Integers as products of prime factors
- F-1.4.E Highest common factor and lowest common multiple
- F-1.5 Set language and notation
- F-1.5.A Definition of a set
- F-1.5.B Set notation
- F-1.5.C Universal set and empty set
- F-1.5.D Complement of a set
- F-1.5.E Venn diagrams for sets
- F-1.6 Percentages
- F-1.6.A Meaning of percentage
- F-1.6.B One number as a percentage of another
- F-1.6.C Percentages as fractions and decimals
- F-1.6.D Percentages as multipliers
- F-1.6.E Percentage increase and decrease
- F-1.6.F Reverse percentages
- F-1.6.G Compound interest and depreciation
- F-1.7 Ratio and proportion
- F-1.7.A Ratio notation and simplest form
- F-1.7.B Dividing a quantity in a given ratio
- F-1.7.C Proportionality and unknown quantities
- F-1.7.D Direct proportion
- F-1.7.E Ratio and proportion word problems
- F-1.8 Degree of accuracy
- F-1.8.A Rounding integers to a power of 10
- F-1.8.B Rounding to significant figures or decimal places
- F-1.8.C Upper and lower bounds
- F-1.8.D Estimation and approximation
- F-1.9 Standard form
- F-1.9.A Calculating with numbers in standard form
- F-1.10 Applying number
- F-1.10.A Number in everyday life
- F-1.10.B Calculations with standard units of measure
- F-1.10.C Calculations with time and money; converting currencies
- F-1.11 Electronic calculators
- F-1.11.A Using a scientific calculator
- F-2 Equations, formulae and identities
- F-2.1 Use of symbols
- F-2.1.A Symbols for numbers and variables
- F-2.1.B Algebra following the rules of arithmetic
- F-2.1.C Index notation for integer powers
- F-2.1.D Index laws in simple cases
- F-2.2 Algebraic manipulation
- F-2.2.A Substituting values into expressions
- F-2.2.B Collecting like terms
- F-2.2.C Multiplying a single term over a bracket
- F-2.2.D Taking out common factors
- F-2.2.E Expanding the product of two linear expressions
- F-2.2.F Factorising quadratic expressions
- F-2.3 Expressions and formulae
- F-2.3.A Letters as unknowns or variables
- F-2.3.B Notational conventions in algebra
- F-2.3.C Substituting into expressions and formulae
- F-2.3.D Writing formulae from words or diagrams
- F-2.3.E Deriving a formula or expression
- F-2.3.F Changing the subject of a formula
- F-2.4 Linear equations
- F-2.4.A Solving linear equations
- F-2.4.B Setting up linear equations
- F-2.5 Proportion
- F-2.6 Simultaneous linear equations
- F-2.6.A Solving linear simultaneous equations
- F-2.7 Quadratic equations
- F-2.7.A Solving quadratic equations by factorisation
- F-2.8 Inequalities
- F-2.8.A Inequality symbols
- F-2.8.B Open and closed intervals on a number line
- F-2.8.C Solving linear inequalities
- F-2.8.D Linear inequalities on Cartesian graphs
- F-2.8.E Regions defined by linear inequalities
- F-3 Sequences, functions and graphs
- F-3.1 Sequences
- F-3.1.A Generating terms of a sequence
- F-3.1.B Finding terms and rules of integer sequences
- F-3.1.C nth term of arithmetic sequences
- F-3.2 Function notation
- F-3.3 Graphs
- F-3.3.A Interpreting linear and non-linear graphs
- F-3.3.B Cartesian coordinate conventions
- F-3.3.C Plotting points in four quadrants
- F-3.3.D Coordinates from geometrical information
- F-3.3.E Midpoint of a line segment
- F-3.3.F Conversion graphs
- F-3.3.G Gradient of a straight line
- F-3.3.H Straight-line graphs y = mx + c
- F-3.3.I Graphs of linear and quadratic functions
- F-3.4 Calculus
- F-4 Geometry
- F-4.1 Angles, lines and triangles
- F-4.1.A Types of angle
- F-4.1.B Angles on lines and parallel lines
- F-4.1.C Angle sum and exterior angle of a triangle
- F-4.1.D Isosceles, equilateral and right-angled triangles
- F-4.2 Polygons
- F-4.2.A Names of polygons
- F-4.2.B Quadrilaterals and their angle sum
- F-4.2.C Properties of special quadrilaterals
- F-4.2.D Interior and exterior angles of regular polygons
- F-4.2.E Angle sum of polygons
- F-4.2.F Congruence
- F-4.2.G Congruent polygons
- F-4.3 Symmetry
- F-4.3.A Line and rotational symmetry
- F-4.4 Measures
- F-4.4.A Reading scales on measuring instruments
- F-4.4.B Time intervals with 24-hour and 12-hour clocks
- F-4.4.C Estimating measures
- F-4.4.D Angle measure and three-figure bearings
- F-4.4.E Measuring angles
- F-4.4.F Average speed, distance and time
- F-4.4.G Compound measures
- F-4.5 Construction
- F-4.5.A Measuring and drawing lines
- F-4.5.B Constructing triangles and other 2D shapes
- F-4.5.C Scale drawings
- F-4.5.D Perpendicular bisector and angle bisector constructions
- F-4.6 Circle properties
- F-4.6.A Parts of a circle
- F-4.6.B Chord and tangent properties of circles
- F-4.7 Geometrical reasoning
- F-4.7.A Informal reasoning in geometrical problems
- F-4.8 Trigonometry and Pythagoras’ theorem
- F-4.8.A Pythagoras' theorem in two dimensions
- F-4.8.B Sine, cosine and tangent in right-angled triangles
- F-4.8.C Trigonometry problems in two dimensions
- F-4.9 Mensuration of 2D shapes
- F-4.9.A Converting metric length and area units
- F-4.9.B Perimeters of shapes made from triangles and rectangles
- F-4.9.C Areas of triangles and rectangles
- F-4.9.D Areas of parallelograms and trapezia
- F-4.9.E Circumference and area of circles and semicircles
- F-4.10 3D shapes and volume
- F-4.10.A Names of solids
- F-4.10.B Faces, edges and vertices
- F-4.10.C Surface area of simple solids
- F-4.10.D Surface area of a cylinder
- F-4.10.E Volume of prisms and cylinders
- F-4.10.F Converting metric units of volume
- F-4.11 Similarity
- F-4.11.A Similar figures
- F-4.11.B Maps and scale drawings
- F-5 Vectors and transformation geometry
- F-5.1 Vectors
- F-5.2 Transformation geometry
- F-5.2.A Rotations: centre and angle
- F-5.2.B Rotating a shape
- F-5.2.C Clockwise and anticlockwise rotation
- F-5.2.D Reflections in a mirror line
- F-5.2.E Constructing mirror lines and reflecting shapes
- F-5.2.F Translations: distance and direction
- F-5.2.G Translating a shape
- F-5.2.H Column vectors in translations
- F-5.2.I Properties preserved by rotations, reflections and translations
- F-5.2.J Enlargements: centre and scale factor
- F-5.2.K Properties preserved by enlargements
- F-5.2.L Enlarging a shape
- F-5.2.M Describing transformations
- F-6 Statistics and probability
- F-6.1 Graphical representation of data
- F-6.1.A Methods of presenting data
- F-6.1.B Tabulation for statistical diagrams
- F-6.1.C Interpreting statistical diagrams
- F-6.2 Statistical measures
- F-6.2.A The concept of average
- F-6.2.B Mean, median, mode and range
- F-6.2.C Estimated mean for grouped data
- F-6.2.D Modal class for grouped data
- F-6.3 Probability
- F-6.3.A The language of probability
- F-6.3.B The probability scale
- F-6.3.C Theoretical probability
- F-6.3.D Probabilities from Venn diagrams
- F-6.3.E Sample spaces and events
- F-6.3.F Listing outcomes systematically
- F-6.3.G Estimating probability from data
- F-6.3.H Probability of the complement of an event
- F-6.3.I Addition rule for mutually exclusive events
- F-6.3.J Expected frequency
H Higher Tier
- H-1 Numbers and the number system
- H-1.1 Integers
- H-1.2 Fractions
- H-1.3 Decimals
- H-1.3.A Converting recurring decimals to fractions
- H-1.4 Powers and roots
- H-1.4.A Meaning of surds
- H-1.4.B Manipulating surds and rationalising denominators
- H-1.4.C Index laws with fractional and negative powers
- H-1.5 Set language and notation
- H-1.5.A Sets in algebraic terms and subsets
- H-1.5.B Venn diagrams and numbers of elements
- H-1.5.C Notation n(A)
- H-1.5.D Sets in practical situations
- H-1.6 Percentages
- H-1.6.A Repeated percentage change
- H-1.6.B Compound interest problems
- H-1.7 Ratio and proportion
- H-1.8 Degree of accuracy
- H-1.8.A Problems with upper and lower bounds
- H-1.9 Standard form
- H-1.9.A Problems involving standard form
- H-1.10 Applying number
- H-1.11 Electronic calculators
- H-2 Equations, formulae and identities
- H-2.1 Use of symbols
- H-2.1.A Fractional, negative and zero powers
- H-2.2 Algebraic manipulation
- H-2.2.A Expanding products of linear expressions
- H-2.2.B Factorising quadratic expressions
- H-2.2.C Algebraic fractions
- H-2.2.D Completing the square
- H-2.2.E Algebraic proof
- H-2.3 Expressions and formulae
- H-2.3.A Changing the subject of complex formulae
- H-2.4 Linear equations
- H-2.5 Proportion
- H-2.5.A Direct and inverse proportion
- H-2.6 Simultaneous linear equations
- H-2.6.A Solving linear simultaneous equations
- H-2.6.B Simultaneous equations as intersecting lines
- H-2.7 Quadratic equations
- H-2.7.A Solving quadratic equations by factorisation
- H-2.7.B Quadratic formula and completing the square
- H-2.7.C Forming and solving quadratic equations in context
- H-2.7.D Simultaneous linear and quadratic equations
- H-2.8 Inequalities
- H-2.8.A Quadratic inequalities
- H-2.8.B Harder regions defined by linear inequalities
- H-3 Sequences, functions and graphs
- H-3.1 Sequences
- H-3.1.A Common difference and first term of arithmetic sequences
- H-3.1.B nth term of an arithmetic sequence
- H-3.1.C Sum of an arithmetic series
- H-3.2 Function notation
- H-3.2.A Functions as mappings
- H-3.2.B Using f(x) function notation
- H-3.2.C Domain and range
- H-3.2.D Composite and inverse functions
- H-3.3 Graphs
- H-3.3.A Graphs of cubic, quadratic and reciprocal functions
- H-3.3.B Transformations of graphs
- H-3.3.C Interpreting and writing transformed functions
- H-3.3.D Gradients of non-linear graphs
- H-3.3.E Intersections of linear and non-linear graphs
- H-3.3.F Gradient from two points
- H-3.3.G Parallel and perpendicular lines
- H-3.4 Calculus
- H-3.4.A Variable rate of change
- H-3.4.B Differentiating integer powers of x
- H-3.4.C Gradients and turning points by differentiation
- H-3.4.D Maxima and minima from the shape of a graph
- H-3.4.E Calculus in kinematics and practical problems
- H-4 Geometry and trigonometry
- H-4.1 Angles, lines and triangles
- H-4.2 Polygons
- H-4.3 Symmetry
- H-4.4 Measures
- H-4.5 Construction
- H-4.6 Circle properties
- H-4.6.A Intersecting chord properties
- H-4.6.B Cyclic quadrilaterals
- H-4.6.C Angle properties of the circle
- H-4.7 Geometrical reasoning
- H-4.7.A Geometrical reasoning for angles
- H-4.8 Trigonometry and Pythagoras’ theorem
- H-4.8.A Trigonometry of obtuse angles
- H-4.8.B Angles of elevation and depression
- H-4.8.C Sine and cosine rules
- H-4.8.D Pythagoras' theorem in three dimensions
- H-4.8.E Area of a triangle using ½ab sin C
- H-4.8.F Trigonometry in three dimensions
- H-4.9 Mensuration
- H-4.9.A Perimeters and areas of sectors
- H-4.10 3D shapes and volume
- H-4.10.A Surface area and volume of spheres and cones
- H-4.11 Similarity
- H-4.11.A Areas of similar figures
- H-4.11.B Volumes of similar figures
- H-4.11.C Problems with similar areas and volumes
- H-5 Vectors and transformation geometry
- H-5.1 Vectors
- H-5.1.A Vectors: magnitude and direction
- H-5.1.B Vector notation and column vectors
- H-5.1.C Multiplying vectors by scalars
- H-5.1.D Adding and subtracting vectors
- H-5.1.E Modulus of a vector
- H-5.1.F Resultant of vectors
- H-5.1.G Vector methods in geometrical proofs
- H-5.2 Transformation geometry
- H-6 Statistics and probability
- H-6.1 Graphical representation of data
- H-6.1.A Histograms
- H-6.1.B Constructing cumulative frequency diagrams
- H-6.1.C Using cumulative frequency diagrams
- H-6.2 Statistical measures
- H-6.2.A Median from a cumulative frequency diagram
- H-6.2.B Measures of spread
- H-6.2.C Interquartile range of discrete data
- H-6.2.D Interquartile range from a cumulative frequency diagram
- H-6.3 Probability
- H-6.3.A Tree diagrams
- H-6.3.B Probability of independent events
- H-6.3.C Conditional probability
- H-6.3.D Probability in simple problems