Glossary
- Curated question
- — Past-paper question with a worked solution and a tagged method.
- Method
- — Portable technique that pops up across years.
- Worked solution
- — Step-by-step solution written by us in our voice.
- Past paper
- — Official exam session published by the board.
These pages only count the curated set: questions with both a worked solution and at least one tagged method. Bulk past papers without that treatment are hidden.
Session overview
31
Questions
31
Worked
100%
34
Methods triggered
2
Papers
Theme mix
- Pure26
- Reasoning5
Chapter mix · 2017
- Integration6
- Logic & Proof5
- Coordinate Geometry & Circles4
- Differentiation4
- Algebra & Inequalities3
- Sequences & Series3
- Exponentials & Logarithms2
- Trigonometry2
- Combinatorics & Binomial1
- Functions & Graphs1
Methods triggered this session
Each method that at least one question in this session hits.
- 1×2Solve polynomial inequalities by factorising and tracking signs on a number lineAlgebra & Inequalities
- 2×2Perpendicular means negative-reciprocal gradient, and a perpendicular bisector is that gradient through the midpointCoordinate Geometry & Circles
- 3×2
- 4×2
- 5×2Integral-defined sequences and sums: find the inner integral in closed form, then collapse the sumIntegration
- 6×1Apply the factor and remainder theorem by substituting the root, never by dividingAlgebra & Inequalities
- 7×1On a 'sum or product of the values' question, read it off the coefficients with VietaAlgebra & Inequalities
- 8×1Operate on whole inequalities, and flip the sign whenever you scale by a negativeAlgebra & Inequalities
- 9×1When two coefficients are proportional, divide the equations so the binomial coefficients cancelCombinatorics & Binomial
- 10×1Turn a tangency, a single-intersection, or an existence statement into a discriminant or a distance-equals-radius conditionCoordinate Geometry & Circles
Try a method on a real paper
Open the TMUA methods app to see worked examples, linked questions and the 3-panel revision view.
Open TMUA methods