TMUA 2020: 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.

• 1Rewriting Before DifferentiatingTesting Options by SubstitutionTunnelPureDifferentiation5 other sittings

  Same method, other sittings

  2016201720182023Specimen

  Worked solutionOpen the method

  AlsoTesting Options by Substitution
• 3Polynomial InequalitiesTunnelPureAlgebra & Inequalities2 other sittings

  Same method, other sittings

  2017Specimen

  Worked solutionOpen the method
• 4Discarding the Extraneous RootAP & GP → EquationsKey methodPureSequences & Series5 other sittings

  Same method, other sittings

  2017201920212023Specimen

  Worked solutionOpen the method

  AlsoAP & GP → Equations
• 5Completing the SquareTunnelPureFunctions & Graphs2 other sittings

  Same method, other sittings

  20172023

  Worked solutionOpen the method
• 6Exponentials → Polynomial in $u$Constrained Vertex in $u=a^x$Key methodPureExponentials & Logarithms6 other sittings

  Same method, other sittings

  20162018201920212023Specimen

  Worked solutionOpen the method

  AlsoConstrained Vertex in $u=a^x$
• 7Common-Base ConversionKey methodPureExponentials & Logarithms3 other sittings

  Same method, other sittings

  201620182019

  Worked solutionOpen the method
• 8Completing the SquareHidden QuadraticsTunnelPureFunctions & Graphs4 other sittings

  Same method, other sittings

  2017202120222023

  Worked solutionOpen the method

  AlsoHidden Quadratics
• 9Vieta's FormulasKey methodPureAlgebra & Inequalities2 other sittings

  Same method, other sittings

  2017Specimen

  Worked solutionOpen the method
• 10Graph Moves → SubstitutionsKey methodPureFunctions & Graphs5 other sittings

  Same method, other sittings

  20162018201920222023

  Worked solutionOpen the method
• 11Equal Areas → Signed Integral ZeroKey methodPureIntegration1 other sitting

  Same method, other sittings

  2021

  Worked solutionOpen the method
• 12Sketching & Counting IntersectionsKey methodPureTrigonometry3 other sittings

  Same method, other sittings

  201620182021

  Worked solutionOpen the method
• 13Binomial General TermBinomial in DisguiseKey methodPureCombinatorics & Binomial5 other sittings

  Same method, other sittings

  2016201820192023Specimen

  Worked solutionOpen the method

  AlsoBinomial in Disguise
• 14Equal Areas → Signed Integral ZeroKey methodPureIntegration1 other sitting

  Same method, other sittings

  2021

  Worked solutionOpen the method
• 16Distance Between CentresKey methodPureCoordinate Geometry & Circles3 other sittings

  Same method, other sittings

  201820192023

  Worked solutionOpen the method
• 17Hidden QuadraticsKey methodPureFunctions & Graphs2 other sittings

  Same method, other sittings

  20212022

  Worked solutionOpen the method
• 18Pythagorean SubstitutionKey methodPureTrigonometry4 other sittings

  Same method, other sittings

  201620212022Specimen

  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.

• 1Roots via the DiscriminantSystem → Single QuadraticKey methodPureAlgebra & Inequalities4 other sittings

  Same method, other sittings

  201820192023Specimen

  Worked solutionOpen the method

  AlsoSystem → Single Quadratic
• 3Spotting the First Wrong LineKey methodReasoningLogic & Proof5 other sittings

  Same method, other sittings

  2017201820192021Specimen

  Worked solutionOpen the method
• 4Counterexamples to 'For All'PavlovReasoningLogic & Proof4 other sittings

  Same method, other sittings

  201720182021Specimen

  Worked solutionOpen the method
• 5Graph Matching by FingerprintsKey methodPureFunctions & Graphs3 other sittings

  Same method, other sittings

  20172022Specimen

  Worked solutionOpen the method
• 6Symmetry ShortcutsKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  201620172019

  Worked solutionOpen the method
• 8Counterexamples to 'For All'PavlovReasoningLogic & Proof4 other sittings

  Same method, other sittings

  201720182021Specimen

  Worked solutionOpen the method
• 10Statement TriageCombining InequalitiesKey methodPureAlgebra & Inequalities5 other sittings

  Same method, other sittings

  20162017201820192021

  Worked solutionOpen the method

  AlsoCombining Inequalities
• 12Trapezium Rule & ConcavityNecessary/Sufficient Tests & Proof SlipsKey methodPureIntegration3 other sittings

  Same method, other sittings

  201720192023

  Worked solutionOpen the method

  AlsoNecessary/Sufficient Tests & Proof Slips
• 13Necessary/Sufficient Tests & Proof SlipsComparing Integrals PointwiseKey methodPureIntegration2 other sittings

  Same method, other sittings

  20222023

  Worked solutionOpen the method

  AlsoComparing Integrals Pointwise
• 14Testing Must-Be-True ClaimsAP Sums → Linear RelationsKey methodPureSequences & Series3 other sittings

  Same method, other sittings

  201620182023

  Worked solutionOpen the method

  AlsoAP Sums → Linear Relations
• 15Pairing & Grouping Trig SumsKey methodPureTrigonometry2 other sittings

  Same method, other sittings

  20182019

  Worked solutionOpen the method
• 16Necessary/Sufficient Tests & Proof SlipsKey methodPureIntegration1 other sitting

  Same method, other sittings

  2023

  Worked solutionOpen the method
• 18Must-Be-True ChecklistsCubic Root Count by ShapeKey methodReasoningLogic & Proof6 other sittings

  Same method, other sittings

  20172018201920212022Specimen

  Worked solutionOpen the method

  AlsoCubic Root Count by Shape
• 20Contrapositive vs ConverseEliminating Options via ImplicationsKey methodReasoningLogic & Proof4 other sittings

  Same method, other sittings

  2019202120222023

  Worked solutionOpen the method

  AlsoEliminating Options via Implications