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
10
Questions
10
Worked
100%
11
Methods triggered
1
Papers
Theme mix
- Pure6
- Mechanics2
- Statistics2
Chapter mix · 2025
- Functions & Curve Sketching2
- Mechanics2
- Probability & Statistics2
- Coordinate Geometry & Conics1
- Differential Equations1
- Integration1
- Proof & Number Theory1
Methods triggered this session
Each method that at least one question in this session hits.
- 1×2Piecewise case-split at switch points for floor, modulus, and Min functionsFunctions & Curve Sketching
- 2×1Reduce a chord/tangent/intersection condition to a quadratic and steer its discriminantCoordinate Geometry & Conics
- 3×1Differentiate the contact condition twice to pin down the osculating circle or higher-order tangencyCoordinate Geometry & Conics
- 4×1Spot the left-hand side as a total derivative (or nested operator) and integrate the equation downDifferential Equations
- 5×1Count roots by sketching one side and sweeping a horizontal or moving line across itFunctions & Curve Sketching
- 6×1
- 7×1Reduce a collision on a line to two scalars: conservation of momentum plus Newton's restitution ruleMechanics
- 8×1
- 9×1
- 10×1
Try a method on a real paper
Open the STEP methods app to see worked examples, linked questions and the 3-panel revision view.
Open STEP methods