STEP Questions Database
This database has questions from the 1986 Specimen papers to 2018. For more recent papers you can download these from the OCR STEP website. The "Topic" box will search for the main topic of the question (for example "inequalities", and the "Search" box will search for all the questions which have this topic somewhere in the question. If you search for "C1" in the topic box you will find the questions which do not need much A-level knowledge.
Browse the folder of past STEP papers. This folder contains all the STEP papers from 1987 to 2018, along with some of the markschemes and solutions (some of the older papers do not have mark schemes available).
1993
Step: 1
Question: 15 Elementary probability (open as a page)
Question: 16 Geometrical probability (open as a page)
Step: 2
Question: 1 Colonel Blotto (open as a page)
Question: 2 Integrals (open as a page)
Question: 3 Differential equation (open as a page)
Question: 4 Vector geometry (open as a page)
Question: 5 Polar coordinates (open as a page)
Question: 6 Matrices (open as a page)
Question: 7 Modulo arithmetic (open as a page)
Question: 8 Inequalities (open as a page)
Question: 9 Complex number (open as a page)
Question: 10 Matrices (open as a page)
Question: 11 Fluid dynamics (open as a page)
Question: 12 Friction (open as a page)
Question: 13 SHM (open as a page)
Question: 14 Energy (open as a page)
Question: 15 Uniform distribution (open as a page)
Question: 16 Poisson process (open as a page)
Step: 3
Question: 1 Parametric equations (open as a page)
Question: 2 Implicit equation (open as a page)
Question: 3 Matrices (open as a page)
Question: 4 Sum of series (open as a page)
Question: 5 Groups (open as a page)
Question: 6 Complex Numbers (open as a page)
Question: 7 Hyperbolic functions (open as a page)
Question: 8 Coordinate geometry (open as a page)
Question: 9 Inequality (open as a page)
Question: 10 Linear transformation (open as a page)
Question: 11 Moment of inertia (open as a page)
Question: 12 Hooke's Law (open as a page)
Question: 13 Pulley (open as a page)
Question: 14 Collision (open as a page)
Question: 15 Coin toss (open as a page)
Question: 16 Truncated normal distribution (open as a page)
1994
Step: 1
Question: 1 Volume and Surface area (open as a page)
Question: 2 Differentiation (open as a page)
Question: 3 Binomial coefficient (open as a page)
Question: 4 Integration (open as a page)
Question: 5 Sketching (open as a page)
Question: 6 Complex Numbers (open as a page)
Question: 7 Proof by Induction (open as a page)
Question: 8 Integration by substitution (open as a page)
Question: 9 Projectile motion (open as a page)
Question: 10 Circular Motion (open as a page)
Question: 11 Pulley (open as a page)
Question: 12 Elementary probability (open as a page)
Question: 13 Indicator function (open as a page)
Question: 14 Poisson distribution (open as a page)
Step: 2
Question: 1 Number theory (open as a page)
Question: 2 Integration by parts (open as a page)