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
34
Questions
34
Worked
100%
34
Methods triggered
2
Papers
Theme mix
- Pure26
- Reasoning8
Chapter mix · 2021
- Logic & Proof8
- Coordinate Geometry & Circles6
- Integration6
- Trigonometry5
- Algebra & Inequalities2
- Exponentials & Logarithms2
- Combinatorics & Binomial1
- Differentiation1
- Functions & Graphs1
- Proof & Number Theory1
- Sequences & Series1
Methods triggered this session
Each method that at least one question in this session hits.
- 1×3Integral-defined sequences and sums: find the inner integral in closed form, then collapse the sumIntegration
- 2×3Treat 'necessary' and 'sufficient' as two separate one-way tests, and break whichever direction can failLogic & Proof
- 3×2Turn a tangency, a single-intersection, or an existence statement into a discriminant or a distance-equals-radius conditionCoordinate Geometry & Circles
- 4×2Complete the square to read a circle's centre and radius (or a parabola's vertex)Coordinate Geometry & Circles
- 5×2
- 6×2To disprove a 'for all' claim, build a single counterexample that obeys the hypothesis but breaks the conclusionLogic & Proof
- 7×2
- 8×2Count real solutions of a trig-plus-algebra equation by sketching both sides and counting intersectionsTrigonometry
- 9×1
- 10×1Judge a 'must be true' claim by proving the survivors and killing the rest with one counterexampleAlgebra & Inequalities
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