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).
1996
Step: 3
Question: 5 Complex Numbers (open as a page)
Question: 6 Groups (open as a page)
Question: 7 Area and perimeters (open as a page)
Question: 8 Transformation (open as a page)
Question: 9 Centre of mass (open as a page)
Question: 10 Friction (open as a page)
Question: 11 SHM (open as a page)
Question: 12 Markov chains (open as a page)
Question: 13 Chebyshev's inequality (open as a page)
Question: 14 Differential equation (open as a page)
1997
Step: 1
Question: 1 Combinatorics (open as a page)
Question: 2 Differentiation (open as a page)
Question: 3 Sequences (open as a page)
Question: 4 Modulus function (open as a page)
Question: 5 Euclidean geometry (open as a page)
Question: 6 Analysis (open as a page)
Question: 7 Cubic polynomial (open as a page)
Question: 8 Curve sketching (open as a page)
Question: 9 How does a chicken cross the road? (open as a page)
Question: 10 Circular Motion (open as a page)
Question: 11 Projectile motion (open as a page)
Question: 12 Uniform distribution (open as a page)
Question: 13 Elementary probability (open as a page)
Question: 14 Continuous random variable (open as a page)
Step: 2
Question: 1 Number theory (open as a page)
Question: 2 Proof by Induction (open as a page)
Question: 3 Integral (open as a page)
Question: 4 Polynomials (open as a page)
Question: 5 Complex Numbers (open as a page)
Question: 6 Trigonometry (open as a page)
Question: 7 Curve sketching (open as a page)
Question: 8 Inequalities (open as a page)
Question: 9 Friction (open as a page)
Question: 10 Collision (open as a page)
Question: 11 Projectile motion (open as a page)
Question: 12 Binomial expansion (open as a page)
Question: 13 Geometrical probability (open as a page)
Question: 14 Poisson distribution (open as a page)
Step: 3
Question: 1 Taylor series (open as a page)
Question: 2 Curve sketching (open as a page)
Question: 3 Complex Numbers (open as a page)
Question: 4 AM-GM inequality (open as a page)
Question: 5 Surface of revolution (open as a page)
Question: 6 Differential equation (open as a page)
Question: 7 e is irrational (open as a page)
Question: 8 Transformations (open as a page)
Question: 9 Hooke's Law (open as a page)
Question: 10 Circular Motion (open as a page)
Question: 11 Equilibrium (open as a page)
Question: 12 Coin toss (open as a page)