STEP 2016: 23 of 26 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.

• 1Sum & Product of ParametersEliminating the ParameterKey methodPureCoordinate Geometry & Conics5 other sittings

  Same method, other sittings

  20092014201720232024

  Worked solutionOpen the method

  AlsoEliminating the Parameter
• 2Reuse the Earlier ResultRepeated Roots & the Remainder TheoremPavlovPureProof & Number Theory5 other sittings

  Same method, other sittings

  20082009201320192020

  Worked solutionOpen the method

  AlsoRepeated Roots & the Remainder Theorem
• 4Range → Discriminant ConditionKey methodPureFunctions & Curve Sketching2 other sittings

  Same method, other sittings

  20192020

  Worked solutionOpen the method
• 5Coefficient MatchingKey methodPureCombinatorics & Binomial1 other sitting

  Same method, other sittings

  2024

  Worked solutionOpen the method
• 7Reflect the Interval & AddKey methodPureIntegration6 other sittings

  Same method, other sittings

  200620102015201820202022

  Worked solutionOpen the method
• 8Bounding Integrals by ComparisonRiemann Sums & IntegralsKey methodPureIntegration1 other sitting

  Same method, other sittings

  2008

  Worked solutionOpen the method

  AlsoRiemann Sums & Integrals
• 9Centre-of-Mass FrameExplosions, Jerks & CapturesKey methodMechanics2 other sittings

  Same method, other sittings

  20112017

  Worked solutionOpen the method

  AlsoExplosions, Jerks & Captures
• 11Relative Velocity & PursuitKey methodMechanicsonly this sitting

  Same method, other sittings

  This one has only struck here so far.

  Worked solutionOpen the method
• 12Inclusion-Exclusion & SymmetryKey methodProb & StatsProbability & Statistics2 other sittings

  Same method, other sittings

  20192024

  Worked solutionOpen the method
• 13Binomial → Poisson or NormalKey methodProb & StatsProbability & Statistics2 other sittings

  Same method, other sittings

  20062023

  Worked solutionOpen the method

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• 3
• 4
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• 8
• 9
• 10
• 11
• 12
• 13

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

• 1Reduction Formulae & TelescopingKey methodPureIntegration6 other sittings

  Same method, other sittings

  200920132015201720202023

  Worked solutionOpen the method
• 2Sum & Product of ParametersEliminating the ParameterNormals → Cubic RootsKey methodPureCoordinate Geometry & Conics5 other sittings

  Same method, other sittings

  20092014201720232024

  Worked solutionOpen the method

  AlsoEliminating the ParameterNormals → Cubic Roots
• 3Reverse-Engineering the AntiderivativeKey methodPureIntegration4 other sittings

  Same method, other sittings

  2009201120202021

  Worked solutionOpen the method
• 4Telescoping SumsKey methodPureSequences & Series6 other sittings

  Same method, other sittings

  201220142015201720222024

  Worked solutionOpen the method
• 5Ratios & Iterated LogarithmsKey methodPureCombinatorics & Binomial1 other sitting

  Same method, other sittings

  2014

  Worked solutionOpen the method
• 6Linear Combo → Single SinusoidOsborn's Rule for HyperbolicsTunnelPureTrigonometryonly this sitting

  Same method, other sittings

  This one has only struck here so far.

  Worked solutionOpen the method

  AlsoOsborn's Rule for Hyperbolics
• 7Roots of Unity FactorisationKey methodPureComplex Numbers1 other sitting

  Same method, other sittings

  2013

  Worked solutionOpen the method
• 8Functional Equations → Linear SystemKey methodPureFunctions & Curve Sketchingonly this sitting

  Same method, other sittings

  This one has only struck here so far.

  Worked solutionOpen the method
• 9Spotting SHMKey methodMechanics4 other sittings

  Same method, other sittings

  2009201320152020

  Worked solutionOpen the method
• 10Motion on a Smooth CurveKey methodMechanics4 other sittings

  Same method, other sittings

  2012201820192021

  Worked solutionOpen the method
• 11Variable AccelerationKey methodMechanics4 other sittings

  Same method, other sittings

  2008200920122017

  Worked solutionOpen the method
• 12Variance via CovariancesKey methodProb & StatsProbability & Statistics3 other sittings

  Same method, other sittings

  200620132017

  Worked solutionOpen the method
• 13Variance via CovariancesKey methodProb & StatsProbability & Statistics3 other sittings

  Same method, other sittings

  200620132017

  Worked solutionOpen the method