STEP Questions Database

Note that the STEP Specification was updated in 2019. Whilst pre-2019 STEP questions are still excellent for developing your problem solving skills, there are some topics which are not in the current specification, including Groups, Moment Generating Functions, Covariance and the Parallel and Perpendicular Axes Theorems. Matrices were in the pre-2000 Specifications, and have been reintroduced in 2019.

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).

1986

Step: 1

Question: 1 Inequalities (open as a page)

Question: 2 Euclidean geometry (open as a page)

Question: 3 Differential equation (open as a page)

Question: 4 Integration by substitution (open as a page)

Question: 5 Numbers (open as a page)

Question: 6 Euclidean geometry (open as a page)

Question: 7 Complex Numbers (open as a page)

Question: 8 Coordinate geometry (open as a page)

Question: 9 Inequality (open as a page)

Question: 10 Work (open as a page)

Question: 11 Friction (open as a page)

Question: 12 Collision (open as a page)

Question: 13 Circular Motion (open as a page)

Question: 14 Discrete random variable (open as a page)

Question: 15 Discrete random variable (open as a page)

Question: 16 Probability density function (open as a page)

Step: 2

Question: 1 Rational Functions (open as a page)

Question: 2 Simultaneous equations (open as a page)

Question: 3 Complex Numbers (open as a page)

Question: 4 Curve sketching (open as a page)

Question: 5 Analysis (open as a page)

Question: 6 Functional equation (open as a page)

Question: 7 Integral (open as a page)

Question: 8 Groups (open as a page)

Question: 9 Vector geometry (open as a page)

Question: 10 Logic (open as a page)

Question: 11 Projectile motion (open as a page)

Question: 12 Circular Motion (open as a page)

Question: 13 Moment of inertia (open as a page)

Question: 14 Circular Motion (open as a page)

Question: 15 Mean and variances (open as a page)

Question: 16 Tree diagram (open as a page)

Step: 3

Question: 1 Proof by Induction (open as a page)

Question: 2 Proof (open as a page)

Question: 3 Complex Numbers (open as a page)

Question: 4 Conic sections (open as a page)

Question: 5 Trigonometry (open as a page)

Question: 6 Integration by parts (open as a page)

Question: 7 Differential equation (open as a page)

Question: 8 Vectors (open as a page)

Question: 9 Groups (open as a page)

Question: 10 Number theory (open as a page)

Question: 11 Differential equation (open as a page)

Question: 12 Equilibrium (open as a page)

Question: 13 Circular Motion (open as a page)

Question: 14 Collision (open as a page)

Question: 15 Optimisation (open as a page)

Question: 16 Combinatorics (open as a page)

1987

Step: 1

Question: 1 Curve sketching (open as a page)

Question: 2 Integration (open as a page)

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