TMUA 2023: 31 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.

• 1Integrals as Linear UnknownsKey methodPureIntegration3 other sittings

  Same method, other sittings

  201920212022

  Worked solutionOpen the method
• 2Roots via the DiscriminantSystem → Single QuadraticKey methodPureAlgebra & Inequalities4 other sittings

  Same method, other sittings

  201820192020Specimen

  Worked solutionOpen the method

  AlsoSystem → Single Quadratic
• 3Integral-Defined Sequences & SumsKey methodPureIntegration2 other sittings

  Same method, other sittings

  20172021

  Worked solutionOpen the method
• 4Disguised Geometric SeriesIndex & Sum Modulo the PeriodKey methodPureSequences & Series3 other sittings

  Same method, other sittings

  20162017Specimen

  Worked solutionOpen the method

  AlsoIndex & Sum Modulo the Period
• 5All Possible ConfigurationsTriangles & Unfolded NetsKey methodPureCoordinate Geometry & Circles3 other sittings

  Same method, other sittings

  201620192021

  Worked solutionOpen the method

  AlsoTriangles & Unfolded Nets
• 6Binomial General TermKey methodPureCombinatorics & Binomial3 other sittings

  Same method, other sittings

  201820192020

  Worked solutionOpen the method
• 7Exponentials → Polynomial in $u$Key methodPureExponentials & Logarithms6 other sittings

  Same method, other sittings

  20162018201920202021Specimen

  Worked solutionOpen the method
• 8The SSA Ambiguous CaseKey methodPureTrigonometry2 other sittings

  Same method, other sittings

  20182022

  Worked solutionOpen the method
• 9Stretching the Angle RangeKey methodPureTrigonometry4 other sittings

  Same method, other sittings

  201620192021Specimen

  Worked solutionOpen the method
• 10Trapezium Rule & ConcavityKey methodPureIntegration3 other sittings

  Same method, other sittings

  201720192020

  Worked solutionOpen the method
• 11Graph Moves → SubstitutionsCompleting the SquareKey methodPureFunctions & Graphs6 other sittings

  Same method, other sittings

  201620172018201920202022

  Worked solutionOpen the method

  AlsoCompleting the Square
• 13Distance Between CentresKey methodPureCoordinate Geometry & Circles3 other sittings

  Same method, other sittings

  201820192020

  Worked solutionOpen the method
• 14Roots, Stationary Points & RolleKey methodPureDifferentiation1 other sitting

  Same method, other sittings

  2022

  Worked solutionOpen the method
• 16Perpendicular GradientsAll Possible ConfigurationsPavlovPureCoordinate Geometry & Circles4 other sittings

  Same method, other sittings

  201720192021Specimen

  Worked solutionOpen the method

  AlsoAll Possible Configurations
• 18Disguised Geometric SeriesDiscarding the Extraneous RootKey methodPureSequences & Series6 other sittings

  Same method, other sittings

  20162017201920202021Specimen

  Worked solutionOpen the method

  AlsoDiscarding the Extraneous Root
• 19Testing Options by SubstitutionPavlovPureDifferentiation3 other sittings

  Same method, other sittings

  201620172020

  Worked solutionOpen the method
• 20Completing the SquareTunnelPureFunctions & Graphs2 other sittings

  Same method, other sittings

  20172020

  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.

• 1Taming SurdsKey methodPureAlgebra & Inequalities2 other sittings

  Same method, other sittings

  20182019

  Worked solutionOpen the method
• 2Integrand → Sum of PowersTunnelPureIntegration5 other sittings

  Same method, other sittings

  20162017201820192021

  Worked solutionOpen the method
• 3Counterexample by Small CasesKey methodPureProof & Number Theory3 other sittings

  Same method, other sittings

  20162022Specimen

  Worked solutionOpen the method
• 4Spotting the Flawed StepKey methodPureProof & Number Theory2 other sittings

  Same method, other sittings

  20162022

  Worked solutionOpen the method
• 7Necessary & Sufficient TestsKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  201920212022

  Worked solutionOpen the method
• 9Contrapositive vs ConverseKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  202020212022

  Worked solutionOpen the method
• 11Contrapositive vs ConverseKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  202020212022

  Worked solutionOpen the method
• 13Eliminating Options via ImplicationsKey methodReasoningLogic & Proof2 other sittings

  Same method, other sittings

  20192020

  Worked solutionOpen the method
• 15Disguised Geometric SeriesKey methodPureSequences & Series2 other sittings

  Same method, other sittings

  20162017

  Worked solutionOpen the method
• 16Testing Must-Be-True ClaimsKey methodPureSequences & Series3 other sittings

  Same method, other sittings

  201620182020

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

  Same method, other sittings

  20172021

  Worked solutionOpen the method
• 18Roots via the DiscriminantQuadratics in DisguiseKey methodPureAlgebra & Inequalities6 other sittings

  Same method, other sittings

  20182019202020212022Specimen

  Worked solutionOpen the method

  AlsoQuadratics in Disguise
• 19Roots, Stationary Points & RolleKey methodPureDifferentiation1 other sitting

  Same method, other sittings

  2022

  Worked solutionOpen the method
• 20Necessary/Sufficient Tests & Proof SlipsComparing Integrals PointwiseKey methodPureIntegration2 other sittings

  Same method, other sittings

  20202022

  Worked solutionOpen the method

  AlsoComparing Integrals Pointwise