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).

2008

Step: 3

Question: 3 Conic sections (open as a page)

Question: 4 Inequality (open as a page)

Question: 5 Chebyshev's polynomial (open as a page)

Question: 6 Differential equation (open as a page)

Question: 7 Complex number (open as a page)

Question: 8 Infinite series (open as a page)

Question: 9 Time-distance (open as a page)

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

Question: 11 Circular Motion (open as a page)

Question: 12 Laplace distribution (open as a page)

Question: 13 Geometrical probability (open as a page)

2009

Step: 1

Question: 1 Number theory (open as a page)

Question: 2 Cubic equations (open as a page)

Question: 3 Quadratic equations (open as a page)

Question: 4 Euclidean geometry (open as a page)

Question: 5 Optimisation (open as a page)

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

Question: 7 Integration by parts (open as a page)

Question: 8 Euclidean geometry (open as a page)

Question: 9 Projectile motion (open as a page)

Question: 10 Wedge (open as a page)

Question: 11 Collision (open as a page)

Question: 12 Sampling without replacement (open as a page)

Question: 13 Combinatorics (open as a page)

Step: 2

Question: 1 Coordinate geometry (open as a page)

Question: 2 Functions (open as a page)

Question: 3 Trigonometry (open as a page)

Question: 4 Polynomials (open as a page)

Question: 5 Integration (open as a page)

Question: 6 Fibonacci numbers (open as a page)

Question: 7 Integration (open as a page)

Question: 8 Vector geometry (open as a page)

Question: 9 Centre of mass (open as a page)

Question: 10 Collision (open as a page)

Question: 11 Work and power (open as a page)

Question: 12 Continuous random variable (open as a page)

Question: 13 Andover and Basingstoke Rockets (open as a page)

Step: 3

Question: 1 Coordinate geometry (open as a page)

Question: 2 Series solutions (open as a page)

Question: 3 Functions (open as a page)

Question: 4 Laplace transform (open as a page)

Question: 5 Simultaneous equations (open as a page)

Question: 6 Complex Numbers (open as a page)

Question: 7 Proof by Induction (open as a page)

Question: 8 Infinite series (open as a page)

Question: 9 Projectile motion (open as a page)

Question: 10 SHM (open as a page)

Question: 11 Differential equation (open as a page)

Question: 12 Coin toss (open as a page)

Question: 13 Geometrical probability (open as a page)

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