Maiths

Edexcel International GCSE Mathematics A · 4MA1

Edexcel IGCSE Maths revision

Start with a mistake you can name: a reversed inequality, an incorrect percentage base or an unlabelled trigonometry ratio. Read the matching method, attempt the example independently and explain the correction before moving to a mixed paper.

Review a completed paper in Maiths

A focused 25-minute session

  • Spend five minutes identifying one method you could not finish in a recent paper.
  • Use ten minutes to reproduce a worked example, explaining why each operation is valid.
  • Attempt the independent practice question with the solution covered for five minutes.
  • Use the last five minutes to compare answers and write one specific check for next time.

Number

Syllabus checklist: Integers and place value; Ordering numbers; Four operations; Negative numbers; Factors, multiples and primes; Prime factor decomposition; Highest common factor and lowest common multiple; Fractions; Decimals; Recurring decimals; Percentages; Percentage change; Reverse percentages; Repeated percentage change; Ratio; Direct proportion; Inverse proportion; Rates and unit pricing; Powers and roots; Laws of indices; Fractional and negative indices; Surds; Standard form; Rounding and estimation; Significant figures; Upper and lower bounds; Set language and notation; Venn diagrams; Money and financial mathematics; Time and timetables; Calculator methods. These labels mirror the application’s topic taxonomy; a checklist entry does not imply a separate published lesson.

Percentage change

Reverse percentages

Ratio

Standard form

Upper and lower bounds

Surds

Algebra

Syllabus checklist: Algebraic notation; Collecting like terms; Substitution; Expanding brackets; Factorising expressions; Algebraic fractions; Changing the subject of a formula; Linear equations; Equations with fractions; Simultaneous linear equations; Linear and quadratic simultaneous equations; Quadratic equations by factorising; Completing the square; The quadratic formula; Linear inequalities; Quadratic inequalities; Algebraic proof; Direct and inverse variation; Function notation; Composite functions; Inverse functions; Sequences and term-to-term rules; Linear sequences; Quadratic sequences; Geometric sequences; Arithmetic series; Binomial expansion. These labels mirror the application’s topic taxonomy; a checklist entry does not imply a separate published lesson.

Quadratic equations

Simultaneous equations

The quadratic formula

Linear inequalities

Arithmetic sequences

Rearranging formulae

Graphs and coordinate geometry

Syllabus checklist: Coordinates in two dimensions; Midpoint of a line segment; Gradient; Equation of a straight line; Parallel and perpendicular lines; Distance between two points; Real-life graphs; Distance-time and velocity-time graphs; Conversion graphs; Quadratic graphs; Cubic graphs; Reciprocal graphs; Exponential graphs; Graphical solution of equations; Graphical solution of inequalities; Transformations of functions; Differentiation; Stationary points; Rates of change. These labels mirror the application’s topic taxonomy; a checklist entry does not imply a separate published lesson.

Straight-line graphs

Differentiation

Geometry and measure

Syllabus checklist: Angle facts; Angles in parallel lines; Angles in triangles and quadrilaterals; Interior and exterior angles of polygons; Properties of triangles; Properties of quadrilaterals; Symmetry; Constructions; Loci; Bearings; Scale drawings; Congruence; Similarity; Pythagoras' theorem; Trigonometric ratios; Exact trigonometric values; Sine rule; Cosine rule; Area of a triangle using sine; Three-dimensional trigonometry; Circle terminology; Circle theorems; Tangents and chords; Perimeter and area; Circles, arcs and sectors; Surface area; Volume; Prisms, cylinders, cones and spheres; Compound shapes and solids; Mass, density and volume; Speed, distance and time; Pressure; Translations; Reflections; Rotations; Enlargements; Column vectors; Vector arithmetic; Vector geometry. These labels mirror the application’s topic taxonomy; a checklist entry does not imply a separate published lesson.

Right-angled trigonometry

Pythagoras’ theorem

Vectors

Transformations

Similarity

Circle theorems

Statistics

Syllabus checklist: Data collection and sampling; Frequency tables; Two-way tables; Pictograms and bar charts; Pie charts; Line graphs and time series; Stem-and-leaf diagrams; Scatter graphs and correlation; Histograms; Cumulative frequency; Box plots; Mean, median and mode; Grouped-data averages; Range and interquartile range; Comparing distributions. These labels mirror the application’s topic taxonomy; a checklist entry does not imply a separate published lesson.

Histograms

Mean, median and mode

Probability

Syllabus checklist: Probability scale; Experimental probability; Theoretical probability; Expected frequency; Sample spaces; Mutually exclusive events; Independent events; Combined events; Tree diagrams; Conditional probability; Venn diagram probability. These labels mirror the application’s topic taxonomy; a checklist entry does not imply a separate published lesson.

Probability trees

Venn diagram probability

Move from a method to a paper

Once you can repeat a method on another day without help, attempt it inside a mixed question set. Record whether an error came from choosing the method, arithmetic, notation or interpreting the question. Correct answers obtained by guessing need another attempt too.

Find the specification, question papers and mark schemes on Pearson

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