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).

2007

Step: 2

Question: 7 Jensen's inequality (open as a page)

Question: 8 Vector geometry (open as a page)

Question: 9 Collision (open as a page)

Question: 10 Friction (open as a page)

Question: 11 Projectile motion (open as a page)

Question: 12 Dice (open as a page)

Question: 13 Birthday problem (open as a page)

Question: 14 Pdf (open as a page)

Step: 3

Question: 1 Trigonometry (open as a page)

Question: 2 Sum (open as a page)

Question: 3 Fibonacci numbers (open as a page)

Question: 4 Parametric equations (open as a page)

Question: 5 Differential equations (open as a page)

Question: 6 Complex Numbers (open as a page)

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

Question: 8 Differential equations (open as a page)

Question: 9 SHM (open as a page)

Question: 10 Projectile motion (open as a page)

Question: 11 Friction (open as a page)

Question: 12 Discrete random variables (open as a page)

Question: 13 Random walk (open as a page)

Question: 14 Geometrical probability (open as a page)

2008

Step: 1

Question: 1 Number theory (open as a page)

Question: 2 Differentiation (open as a page)

Question: 3 Inequalities (open as a page)

Question: 4 Convex functions (open as a page)

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

Question: 6 Inverse functions (open as a page)

Question: 7 Coordinate geometry (open as a page)

Question: 8 Differential equation (open as a page)

Question: 9 Kinetic energy (open as a page)

Question: 10 Projectile motion (open as a page)

Question: 11 Friction (open as a page)

Question: 12 Discrete random variables (open as a page)

Question: 13 Combinatorics (open as a page)

Step: 2

Question: 1 Sequences (open as a page)

Question: 2 Binomial expansion (open as a page)

Question: 3 Cubic equations (open as a page)

Question: 4 Differentiation (open as a page)

Question: 5 Integrals (open as a page)

Question: 6 Trigonometry (open as a page)

Question: 7 Differential equation (open as a page)

Question: 8 Vector geometry (open as a page)

Question: 9 Projectile motion (open as a page)

Question: 10 Collision (open as a page)

Question: 11 Friction (open as a page)

Question: 12 Court of Farnia (open as a page)

Question: 13 Sampling with/out replacement (open as a page)

Step: 3

Question: 1 Simultaneous equations (open as a page)

Question: 2 Polynomials (open as a page)

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