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Revision — Edexcel Mathematics A (4MA1) Higher — EC2 Excel

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Edexcel Mathematics A (4MA1) — Higher tier — key learnings, examiner-sourced common mistakes, flashcards and practice questions, organised by the 4MA1 syllabus.

Section 1 · Numbers and the number system

1.1Integers, HCF, LCM and prime factorsView →
1.2Fractions, decimals and percentage conversionsView →
1.3Decimals — place value, ordering, terminating & recurringView →
1.4aIndices (negative & fractional) and rootsView →
1.4bSurds — simplifying and rationalisingView →
1.5Set language and notationView →
1.6Percentages: increase/decrease, reverse %, compound interest & depreciationView →
1.7Ratio and proportion (sharing, scaling, best value)View →
1.8aRounding, significant figures and estimationView →
1.8bUpper and lower boundsView →
1.9Standard formView →

Section 2 · Equations, formulae and identities

2.1Use of symbols — notation, collecting like terms, substitutionView →
2.2aAlgebraic manipulation: expanding and factorisingView →
2.2bAlgebraic fractionsView →
2.3Rearranging formulae (change of subject)View →
2.4Linear equationsView →

Section 3 · Sequences, functions and graphs

3.1Sequences: nth term and arithmetic seriesView →
3.2Function notation; composite and inverse functionsView →
3.3aStraight-line graphs: gradient, y = mx + c, parallel & perpendicularView →
3.3bQuadratic graphs (sketch, solve, turning point)View →
3.3cCubic, reciprocal and exponential graphs

Section 4 · Geometry and trigonometry

4.1Angles: parallel lines, polygons, interior/exteriorView →
4.2Polygons — interior and exterior anglesView →
4.3Symmetry — line, rotational and plane symmetryView →
4.4BearingsView →
4.5Constructions and lociView →

Section 5 · Vectors and transformation geometry

5.1aVectors — notation, addition and scalar multiplesView →
5.1bVector geometry and proofView →
5.2Transformations — translation, reflection, rotation, enlargementView →

Section 6 · Statistics and probability

6.1aHistogramsView →
6.1bScatter graphs and correlation; line of best fitView →
6.2aAverages and range (incl. from frequency tables; estimated mean)View →
6.2bCumulative frequency, box plots, quartiles and IQRView →
6.3aProbability: single and combined events

2.5Direct and inverse proportionView →

2.6Simultaneous equationsView →

2.7Quadratic expressions and equationsView →

2.8Inequalities (linear and quadratic)View →

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3.3dTrigonometric graphs (sin, cos, tan)View →

3.3eReal-life and kinematic graphs (distance–time, speed–time)View →

3.4Differentiation: gradient, stationary points, tangents & velocityView →

4.6Circle properties — parts of a circle, tangents and chordsView →

4.7Circle theoremsView →

4.8aPythagoras' theorem (2D and 3D)View →

4.8bTrigonometry — SOHCAHTOA (2D and 3D)View →

4.8cSine rule, cosine rule, area = ½·ab·sinCView →

4.9aArea & perimeter (2D shapes, circles)View →

4.9bArc length and area of a sectorView →

4.10Volume & surface area (prisms, cylinders, spheres, cones, pyramids)View →

4.11Similar shapes (length/area/volume scale factors) & congruenceView →

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6.3bTree diagrams (with/without replacement; conditional)View →

6.3cSet notation and Venn diagramsView →