TMUA 2019: 32 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.

• 2Roots via the DiscriminantKey methodPureAlgebra & Inequalities4 other sittings

  Same method, other sittings

  201820202023Specimen

  Worked solutionOpen the method
• 3Coefficients via ConvolutionKey methodPureCombinatorics & Binomial2 other sittings

  Same method, other sittings

  2022Specimen

  Worked solutionOpen the method
• 4The First Few TermsSize & Sign EliminationPavlovPureSequences & Series3 other sittings

  Same method, other sittings

  20162017Specimen

  Worked solutionOpen the method

  AlsoSize & Sign Elimination
• 5Discarding the Extraneous RootKey methodPureSequences & Series4 other sittings

  Same method, other sittings

  202020212023Specimen

  Worked solutionOpen the method
• 6Distance Between CentresAll Possible ConfigurationsKey methodPureCoordinate Geometry & Circles3 other sittings

  Same method, other sittings

  201820202023

  Worked solutionOpen the method

  AlsoAll Possible Configurations
• 7Two-Stage OptimisationKey methodPureDifferentiation4 other sittings

  Same method, other sittings

  2016201720182022

  Worked solutionOpen the method
• 8Trapezium Rule & ConcavityKey methodPureIntegration3 other sittings

  Same method, other sittings

  201720202023

  Worked solutionOpen the method
• 10Total Area via Split IntegralsKey methodPureIntegration4 other sittings

  Same method, other sittings

  2016201820212022

  Worked solutionOpen the method
• 11Log Variables → Linear SystemKey methodPureExponentials & Logarithms1 other sitting

  Same method, other sittings

  2016

  Worked solutionOpen the method
• 12Integrand → Sum of PowersTunnelPureIntegration5 other sittings

  Same method, other sittings

  20162017201820212023

  Worked solutionOpen the method
• 13Constrained Vertex in $u=a^x$TunnelPureExponentials & Logarithms2 other sittings

  Same method, other sittings

  20202021

  Worked solutionOpen the method
• 14Stretching the Angle RangeKey methodPureTrigonometry4 other sittings

  Same method, other sittings

  201620212023Specimen

  Worked solutionOpen the method
• 15Exponentials → Polynomial in $u$Common-Base ConversionKey methodPureExponentials & Logarithms6 other sittings

  Same method, other sittings

  20162018202020212023Specimen

  Worked solutionOpen the method

  AlsoCommon-Base Conversion
• 16Reusing Integrals via TransformationIntegrals as Linear UnknownsKey methodPureIntegration4 other sittings

  Same method, other sittings

  2017202120222023

  Worked solutionOpen the method

  AlsoIntegrals as Linear Unknowns
• 17Sign Tables for Trig ProductsKey methodPureTrigonometry2 other sittings

  Same method, other sittings

  20162017

  Worked solutionOpen the method
• 18Geometric OptimisationKey methodPureDifferentiation2 other sittings

  Same method, other sittings

  20162022

  Worked solutionOpen the method
• 19Pairing & Grouping Trig SumsKey methodPureTrigonometry2 other sittings

  Same method, other sittings

  20182020

  Worked solutionOpen the method
• 20Root Count from Stationary ValuesKey methodPureFunctions & Graphs3 other sittings

  Same method, other sittings

  20162018Specimen

  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.

• 1Binomial General TermKey methodPureCombinatorics & Binomial3 other sittings

  Same method, other sittings

  201820202023

  Worked solutionOpen the method
• 2Factor & Remainder TheoremKey methodPureAlgebra & Inequalities4 other sittings

  Same method, other sittings

  201620172018Specimen

  Worked solutionOpen the method
• 3Must-Be-True ChecklistsKey methodReasoningLogic & Proof4 other sittings

  Same method, other sittings

  202020212022Specimen

  Worked solutionOpen the method
• 5Necessary & Sufficient TestsKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  202120222023

  Worked solutionOpen the method
• 6Spotting the First Wrong LineKey methodReasoningLogic & Proof5 other sittings

  Same method, other sittings

  2017201820202021Specimen

  Worked solutionOpen the method
• 8Statement TriageCombining InequalitiesKey methodPureAlgebra & Inequalities5 other sittings

  Same method, other sittings

  20162017201820202021

  Worked solutionOpen the method

  AlsoCombining Inequalities
• 10Necessary & Sufficient TestsKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  202120222023

  Worked solutionOpen the method
• 11Must-Be-True ChecklistsKey methodReasoningLogic & Proof4 other sittings

  Same method, other sittings

  202020212022Specimen

  Worked solutionOpen the method
• 13Symmetry ShortcutsKey methodReasoningLogic & Proof3 other sittings

  Same method, other sittings

  201620172020

  Worked solutionOpen the method
• 15Log Variables → Linear SystemKey methodPureExponentials & Logarithms1 other sitting

  Same method, other sittings

  2016

  Worked solutionOpen the method
• 17Eliminating Options via ImplicationsKey methodReasoningLogic & Proof2 other sittings

  Same method, other sittings

  20202023

  Worked solutionOpen the method
• 18Absolute Value as DistanceKey methodPureAlgebra & Inequalities2 other sittings

  Same method, other sittings

  20182022

  Worked solutionOpen the method
• 19Taming SurdsKey methodPureAlgebra & Inequalities2 other sittings

  Same method, other sittings

  20182023

  Worked solutionOpen the method
• 20Graph Moves → SubstitutionsKey methodPureFunctions & Graphs5 other sittings

  Same method, other sittings

  20162018202020222023

  Worked solutionOpen the method