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).

1994

Step: 2

Question: 3 Functions (open as a page)

Question: 4 Integration (open as a page)

Question: 5 Roots of equations (open as a page)

Question: 6 Proof by Induction (open as a page)

Question: 7 Coordinate geometry (open as a page)

Question: 8 Financial mathematics (open as a page)

Question: 9 Equilibrium (open as a page)

Question: 10 Collision (open as a page)

Question: 11 Projectile motion (open as a page)

Question: 12 Elementary probability (open as a page)

Question: 13 Exponential distribution (open as a page)

Question: 14 Geometrical probability (open as a page)

Step: 3

Question: 1 Integration by parts (open as a page)

Question: 2 Polynomial equations (open as a page)

Question: 3 Euclidean geometry (open as a page)

Question: 4 Differential equations (open as a page)

Question: 5 Taylor series (open as a page)

Question: 6 Complex Numbers (open as a page)

Question: 7 Groups (open as a page)

Question: 8 Matrices (open as a page)

Question: 9 Collision (open as a page)

Question: 10 Time-distance (open as a page)

Question: 11 Equilibrium (open as a page)

Question: 12 Elementary probability (open as a page)

Question: 13 Continuous random variable (open as a page)

Question: 14 Geometrical probability (open as a page)

1995

Step: 1

Question: 1 Inequalities (open as a page)

Question: 2 Integration (open as a page)

Question: 3 Proof by Induction (open as a page)

Question: 4 Complex Numbers (open as a page)

Question: 5 Analysis (open as a page)

Question: 6 Differential equations (open as a page)

Question: 7 Vector geometry (open as a page)

Question: 8 Differential equation (open as a page)

Question: 9 Projectile motion (open as a page)

Question: 10 Hooke's Law (open as a page)

Question: 11 Friction (open as a page)

Question: 12 Elementary probability (open as a page)

Question: 13 Poisson distribution (open as a page)

Question: 14 Normal distribution (open as a page)

Step: 2

Question: 1 Sum (open as a page)

Question: 2 Combinatorics (open as a page)

Question: 3 Tour de Clochemerle (open as a page)

Question: 4 Analysis (open as a page)

Question: 5 Elementary geometry (open as a page)

Question: 6 Complex Numbers (open as a page)

Question: 7 Heron's formula (open as a page)

Question: 8 Differential equations (open as a page)

Question: 9 Friction (open as a page)

Question: 10 Collision (open as a page)

© 2025 University of Cambridge