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CCEA GCSE Mathematics revision notes

Concise notes per spec point, written in plain English with worked examples. AI-generated, admin-verified.

  1. A1Algebraic notation, manipulation and simplifying expressions
  2. A10Iteration and numerical methodsHigher
  3. A11Inverse and composite functionsHigher
  4. A2Expanding brackets and factorising (linear and quadratic)
  5. A3Solving linear equations and inequalities
  6. A4Solving quadratic equations: factorising, formula, completing the square
  7. A5Simultaneous equations: linear; linear and quadratic
  8. A6Coordinate geometry: equations of straight lines, parallel and perpendicular
  9. A7Graphs of quadratic, cubic, reciprocal, exponential and trig functions
  10. A8Sequences: arithmetic, geometric, Fibonacci, nth term
  11. A9Algebraic fractions and proofHigher
  12. G1Properties of 2D shapes: angles, polygons, triangles, quadrilaterals
  13. G10Vectors and geometric proof
  14. G2Constructions, loci and bearings
  15. G3Transformations: rotation, reflection, translation, enlargement
  16. G4Pythagoras and right-angled trigonometry
  17. G5Sine rule, cosine rule and area of a triangleHigher
  18. G6Similarity, congruence and scale factors
  19. G7Area and perimeter; arc length and sector area
  20. G8Volume and surface area of prisms, pyramids, cones, spheres
  21. G9Circle theoremsHigher
  22. N1Order positive and negative integers, decimals and fractions; place value
  23. N2Apply the four operations to integers, decimals and fractions
  24. N3Powers, roots, integer indices; standard form A × 10ⁿ
  25. N4Factors, multiples, primes, HCF and LCM
  26. N5Fractions, decimals and percentages — equivalence and conversion
  27. N6Estimation, rounding, bounds and degree of accuracy
  28. N7Surds and rationalising denominatorsHigher
  29. N8Recurring decimals to fractionsHigher
  30. P1Probability scale; single events; expected frequency
  31. P2Sample spaces, possibility tables, Venn diagrams
  32. P3Tree diagrams (independent and conditional events)
  33. P4Conditional probability and independenceHigher
  34. R1Ratio: simplifying, dividing in a ratio, equivalent ratios
  35. R2Direct and inverse proportion
  36. R3Percentages: percentage change, reverse percentages, compound interest
  37. R4Rates of change; conversions between units (including compound)
  38. R5Growth and decay (including exponential)Higher
  39. S1Data collection, sampling and types of data
  40. S2Averages and spread (mean, median, mode, range, IQR)
  41. S3Charts and graphs (bar, pie, frequency, scatter, box plots)
  42. S4Cumulative frequency, histograms and box plotsHigher
  43. S5Correlation and lines of best fit