STEP 2012: 22 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.

• 1Disguised Binomial & Geometric SeriesKey methodPureCombinatorics & Binomial1 other sitting

  Same method, other sittings

  2008

  Worked solutionOpen the method
• 3Reciprocal Substitution FoldingKey methodPureIntegration6 other sittings

  Same method, other sittings

  201420152017201820232025

  Worked solutionOpen the method
• 4Sandwiching Sums with IntegralsKey methodPureSequences & Series4 other sittings

  Same method, other sittings

  2009201420152017

  Worked solutionOpen the method
• 5Symmetry → Turning PointsKey methodPureFunctions & Curve Sketching3 other sittings

  Same method, other sittings

  200920132015

  Worked solutionOpen the method
• 6Difference of Two SquaresKey methodPureCoordinate Geometry & Conics3 other sittings

  Same method, other sittings

  200920152018

  Worked solutionOpen the method
• 7Affine Combinations & the Section FormulaThe Vanishing Vertex-SumKey methodPureVectors & Matrices10 other sittings

  Same method, other sittings

  2006200820092013201420152019202120232024

  Worked solutionOpen the method

  AlsoThe Vanishing Vertex-Sum
• 8Characteristic Equation for RecurrencesTunnelPureSequences & Series3 other sittings

  Same method, other sittings

  200820102011

  Worked solutionOpen the method
• 9Projectiles → Split by AxisTunnelMechanics11 other sittings

  Same method, other sittings

  20062008200920102013201420172020202220232024

  Worked solutionOpen the method
• 10Limiting EquilibriumTunnelMechanics10 other sittings

  Same method, other sittings

  2006201320142017201820192020202220232024

  Worked solutionOpen the method
• 11Repeated Impacts → RecurrenceKey methodMechanics3 other sittings

  Same method, other sittings

  201020172018

  Worked solutionOpen the method
• 12Reverse Conditioning via BayesKey methodProb & StatsProbability & Statisticsonly this sitting

  Same method, other sittings

  This one has only struck here so far.

  Worked solutionOpen the method
• 13CDF of a Transformed VariableTunnelProb & StatsProbability & Statistics8 other sittings

  Same method, other sittings

  20092014201520172019202020212022

  Worked solutionOpen the method

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• 13

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

• 1First Integral via EnergyKey methodPureDifferential Equations1 other sitting

  Same method, other sittings

  2013

  Worked solutionOpen the method
• 2Telescoping SumsHalving Products → TelescopingKey methodPureSequences & Series7 other sittings

  Same method, other sittings

  2014201520162017201920222024

  Worked solutionOpen the method

  AlsoHalving Products → Telescoping
• 3Tangency → Repeated RootKey methodPureFunctions & Curve Sketchingonly this sitting

  Same method, other sittings

  This one has only struck here so far.

  Worked solutionOpen the method
• 4Differentiating Series → Weighted SumsKey methodPureSequences & Seriesonly this sitting

  Same method, other sittings

  This one has only struck here so far.

  Worked solutionOpen the method
• 7Eliminating Between Coupled ODEsStitching Piecewise SolutionsKey methodPureDifferential Equations3 other sittings

  Same method, other sittings

  201920202023

  Worked solutionOpen the method

  AlsoStitching Piecewise Solutions
• 8Telescoping SumsKey methodPureSequences & Series6 other sittings

  Same method, other sittings

  201420152016201720222024

  Worked solutionOpen the method
• 9Moment of Inertia → RotationTunnelMechanics5 other sittings

  Same method, other sittings

  20062008201320152018

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

  Same method, other sittings

  2016201820192021

  Worked solutionOpen the method
• 11Variable AccelerationKey methodMechanics4 other sittings

  Same method, other sittings

  2008200920162017

  Worked solutionOpen the method
• 12Geometric ProbabilityKey methodProb & StatsProbability & Statistics3 other sittings

  Same method, other sittings

  200620222024

  Worked solutionOpen the method