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
33
Questions
33
Worked
100%
35
Methods triggered
2
Papers
Theme mix
- Pure26
- Reasoning7
Chapter mix · 2019
- Logic & Proof7
- Algebra & Inequalities5
- Exponentials & Logarithms4
- Integration4
- Functions & Graphs3
- Trigonometry3
- Combinatorics & Binomial2
- Differentiation2
- Sequences & Series2
- Coordinate Geometry & Circles1
Methods triggered this session
Each method that at least one question in this session hits.
- 1×2Treat each of an unknown as a new variable to linearise a logarithmic systemExponentials & Logarithms
- 2×2
- 3×2Treat 'necessary' and 'sufficient' as two separate one-way tests, and break whichever direction can failLogic & Proof
- 4×1Turn a question about the nature or count of roots into a discriminant conditionAlgebra & Inequalities
- 5×1Apply the factor and remainder theorem by substituting the root, never by dividingAlgebra & Inequalities
- 6×1Judge a 'must be true' claim by proving the survivors and killing the rest with one counterexampleAlgebra & Inequalities
- 7×1Operate on whole inequalities, and flip the sign whenever you scale by a negativeAlgebra & Inequalities
- 8×1
- 9×1Tame surds by clearing fractions or recognising a perfect-square radicand, then check validityAlgebra & Inequalities
- 10×1The coefficient in a product or a sum of expansions is the sum of every contributing pieceCombinatorics & Binomial
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