STEP 2024

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

Questions

Worked

100%

Methods triggered

Papers

Theme mix

Pure13
Mechanics4
Statistics4

Chapter mix · 2024

Mechanics4
Probability & Statistics4
Coordinate Geometry & Conics3
Sequences & Series2
Combinatorics & Binomial1
Differential Equations1
Differentiation1
Functions & Curve Sketching1
Integration1
Proof & Number Theory1
Trigonometry1
Vectors & Matrices1

Methods triggered this session

Each method that at least one question in this session hits.

1
Reduce a chord/tangent/intersection condition to a quadratic and steer its discriminant
Coordinate Geometry & Conics
×2
2
Equate coefficients of $x^{k}$ on two sides of an algebraic identity to prove a binomial sum
Combinatorics & Binomial
×1
3
Two points on a curve: carry $s + t$ and $s t$ (sum and product of parameters) as the variables
Coordinate Geometry & Conics
×1
4
Eliminate one unknown from simultaneous ODEs to get a single higher-order equation
Differential Equations
×1
5
Prove an inequality or an ordering by reading off the sign of a well-chosen derivative
Differentiation
×1
6
Rearrange into a product equal to a fixed constant, then exhaust factor pairs
Proof & Number Theory
×1
7
Expand as a power series, integrate term by term using $\int_{0}^{1} x^{k} d x = \frac{1}{k + 1}$ or the Gamma moment $\int_{0}^{\infty} x^{k - 1} e^{- x} d x = (k - 1)!$ , then recognise the closed form
Integration
×1
8
Treat the two horizontal coordinates of projectile motion separately, then eliminate the time
Mechanics
×1
9
Exploit a kinematic constraint: differentiate the position relation to link velocities and accelerations
Mechanics
×1
10
Reduce a collision on a line to two scalars: conservation of momentum plus Newton's restitution rule
Mechanics
×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