TMUA 2017: 30 of 40 questions decoded, by method & chapter.

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The paper at a glance, coloured by move. Click a square to open its question; empty squares are not decoded yet.

• 1Integrand → Sum of PowersTunnelPureIntegration5 other sittings

  Same method, other sittings

  20162018201920212023

  Worked solutionOpen the method
• 2Rewriting Before DifferentiatingTunnelPureDifferentiation4 other sittings

  Same method, other sittings

  201620182020Specimen

  Worked solutionOpen the method
• 3Perpendicular GradientsPavlovPureCoordinate Geometry & Circles3 other sittings

  Same method, other sittings

  20212023Specimen

  Worked solutionOpen the method
• 4Factor & Remainder TheoremKey methodPureAlgebra & Inequalities4 other sittings

  Same method, other sittings

  201620182019Specimen

  Worked solutionOpen the method
• 5Polynomial InequalitiesTunnelPureAlgebra & Inequalities2 other sittings

  Same method, other sittings

  2020Specimen

  Worked solutionOpen the method
• 6Tangency → Discriminant or DistanceKey methodPureCoordinate Geometry & Circles2 other sittings

  Same method, other sittings

  20212022

  Worked solutionOpen the method
• 7AP & GP → EquationsKey methodPureSequences & Series3 other sittings

  Same method, other sittings

  20202021Specimen

  Worked solutionOpen the method
• 8Sign Tables for Trig ProductsKey methodPureTrigonometry2 other sittings

  Same method, other sittings

  20162019

  Worked solutionOpen the method
• 9Completing the SquareCircle Facts, Not EquationsTunnelPureCoordinate Geometry & Circles4 other sittings

  Same method, other sittings

  201620212022Specimen

  Worked solutionOpen the method

  AlsoCircle Facts, Not Equations
• 10Two-Stage OptimisationTangent & Normal LinesKey methodPureDifferentiation4 other sittings

  Same method, other sittings

  2016201820192022

  Worked solutionOpen the method

  AlsoTangent & Normal Lines
• 11The First Few TermsIndex & Sum Modulo the PeriodPavlovPureSequences & Series4 other sittings

  Same method, other sittings

  201620192023Specimen

  Worked solutionOpen the method

  AlsoIndex & Sum Modulo the Period
• 12Reusing Integrals via TransformationKey methodPureIntegration2 other sittings

  Same method, other sittings

  20192021

  Worked solutionOpen the method
• 13Coefficient RatiosKey methodPureCombinatorics & Binomial3 other sittings

  Same method, other sittings

  201620182021

  Worked solutionOpen the method
• 14Combining Logarithmic RootsKey methodPureExponentials & Logarithms3 other sittings

  Same method, other sittings

  20162018Specimen

  Worked solutionOpen the method
• 15Trapezium Rule & ConcavityKey methodPureIntegration3 other sittings

  Same method, other sittings

  201920202023

  Worked solutionOpen the method
• 16Factorising the DerivativeKey methodPureDifferentiation3 other sittings

  Same method, other sittings

  201620212022

  Worked solutionOpen the method
• 17Integral-Defined Sequences & SumsKey methodPureIntegration2 other sittings

  Same method, other sittings

  20212023

  Worked solutionOpen the method
• 19Vieta's FormulasPolynomial InequalitiesCombining InequalitiesKey methodPureAlgebra & Inequalities4 other sittings

  Same method, other sittings

  201820192020Specimen

  Worked solutionOpen the method

  AlsoPolynomial InequalitiesCombining Inequalities
• 20Triangle Data → Standard FormulaeTunnelPureTrigonometry1 other sitting

  Same method, other sittings

  2022

  Worked solutionOpen the method

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The paper at a glance, coloured by move. Click a square to open its question; empty squares are not decoded yet.

• 1Rewriting Before DifferentiatingTesting Options by SubstitutionTunnelPureDifferentiation5 other sittings

  Same method, other sittings

  2016201820202023Specimen

  Worked solutionOpen the method

  AlsoTesting Options by Substitution
• 2Perpendicular GradientsPavlovPureCoordinate Geometry & Circles3 other sittings

  Same method, other sittings

  20212023Specimen

  Worked solutionOpen the method
• 3Disguised Geometric SeriesKey methodPureSequences & Series2 other sittings

  Same method, other sittings

  20162023

  Worked solutionOpen the method
• 6Integral-Defined Sequences & SumsKey methodPureIntegration2 other sittings

  Same method, other sittings

  20212023

  Worked solutionOpen the method
• 8Sandwiching Logs & PowersKey methodPureExponentials & Logarithms1 other sitting

  Same method, other sittings

  Specimen

  Worked solutionOpen the method
• 10Symmetry ShortcutsKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  201620192020

  Worked solutionOpen the method
• 14Completing the SquareGraph Matching by FingerprintsTunnelPureFunctions & Graphs4 other sittings

  Same method, other sittings

  202020222023Specimen

  Worked solutionOpen the method

  AlsoGraph Matching by Fingerprints
• 16Counterexamples to 'For All'PavlovReasoningLogic & Proof4 other sittings

  Same method, other sittings

  201820202021Specimen

  Worked solutionOpen the method
• 17Negating QuantifiersKey methodReasoningLogic & Proof2 other sittings

  Same method, other sittings

  2018Specimen

  Worked solutionOpen the method
• 18Spotting the First Wrong LineKey methodReasoningLogic & Proof5 other sittings

  Same method, other sittings

  2018201920202021Specimen

  Worked solutionOpen the method
• 19Cubic Root Count by ShapeKey methodReasoningLogic & Proof4 other sittings

  Same method, other sittings

  2018202020212022

  Worked solutionOpen the method