Σ TMUA Practice

Revision notes

Concise notes for every topic in the specification: what the spec asks for, the formulas you must recall (there is no formula booklet), the standard techniques, the classic traps, and the real past questions on each topic.

26 topics

Section 1 Part 1: AS-level pure mathematics

Indices and surdsMM1.1, MM1.2, M2.7, M2.11, M2.12 · 23 questionsQuadratic functionsMM1.3, M4.5, M4.11-M4.14 · 26 questionsSimultaneous equations and inequalitiesMM1.4, MM1.5, M4.16, M4.17 · 19 questionsPolynomials, factor and remainder theoremsMM1.6 · 17 questionsFunctions and transformationsMM1.7, MM8.2, MM8.3, MM8.4 · 18 questionsSequences and seriesMM2.1, MM2.2, MM2.3, M4.19 · 23 questionsBinomial expansionMM2.4 · 16 questionsStraight linesMM3.1, M4.9, M4.10 · 15 questionsCircles and circle theoremsMM3.2, MM3.3, M5.8, M5.9 · 17 questionsTriangles, radians and sectorsMM4.1, MM4.2, M5.16 · 17 questionsTrigonometric functions and equationsMM4.3-MM4.6 · 19 questionsExponentials and logarithmsMM5.1-MM5.3 · 21 questionsDifferentiationMM6.1-MM6.3, MM8.5 · 22 questionsIntegrationMM7.1-MM7.6 · 22 questionsGraphs of functionsMM8.1, MM8.5-MM8.7, M4.15 · 18 questions

Section 1 Part 2: Higher GCSE mathematics

Number, units and estimationM1.1, M1.2, M2.1-M2.14 · 21 questionsRatio, proportion and percentagesM3.1-M3.11 · 15 questionsGCSE algebraM4.1-M4.8, M4.18, M4.19 · 15 questionsAngles, polygons, congruence and vectorsM5.1-M5.6, M5.10, M5.14, M5.18, M5.19 · 16 questionsPythagoras, mensuration and 3DM5.7, M5.11-M5.13, M5.15-M5.17 · 17 questionsStatisticsM6.1-M6.4 · 11 questionsProbabilityM7.1-M7.7 · 13 questions

Section 2: Mathematical reasoning (Paper 2 only)

The logic of argumentsArg1-Arg4 · 25 questionsMathematical proofPrf1-Prf4 · 21 questionsChains of reasoningPrf2, Prf3, Prf5 · 23 questionsIdentifying errors in proofsErr1, Err2 · 19 questions