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).

2016

Step: 2

Question: 6 Quadratic differential equation (open as a page)

Question: 7 Trigonometric integrals (open as a page)

Question: 8 Approximating sums using integrals (open as a page)

Question: 9 Bullet fired into block (open as a page)

Question: 10 Hanging triangle (open as a page)

Question: 11 Projectile and target (open as a page)

Question: 12 Old hat probability problem (open as a page)

Question: 13 Binomial distribution approximations (open as a page)

Step: 3

Question: 1 Integral reduction (open as a page)

Question: 2 Parabola normals (open as a page)

Question: 3 Integration (open as a page)

Question: 4 Telescoping sums (open as a page)

Question: 5 Prime number distribution (open as a page)

Question: 6 Intersecting curves number (open as a page)

Question: 7 Argand geometry (open as a page)

Question: 8 Functional equations (open as a page)

Question: 9 Simple harmonic motion (open as a page)

Question: 10 Motion on a plane (open as a page)

Question: 11 Accelerating car (open as a page)

Question: 12 Chebyshev's inequality (open as a page)

Question: 13 Kurtosis (open as a page)

2017

Step: 1

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

Question: 2 Inequlaities (open as a page)

Question: 3 Parabola (open as a page)

Question: 4 Geometric progression (open as a page)

Question: 5 Area of rectangle in circle segment (open as a page)

Question: 6 Integration (open as a page)

Question: 7 Triangles (open as a page)

Question: 8 Sequence (open as a page)

Question: 9 Projectile motion (open as a page)

Question: 10 Colliding particles (open as a page)

Question: 11 Box on inclined plane (open as a page)

Question: 12 Lottery (open as a page)

Question: 13 Sliced loaf (open as a page)

Step: 2

Question: 1 arctan integral (open as a page)

Question: 2 Periodic sequences (open as a page)

Question: 3 Trigonometric equations (open as a page)

Question: 4 Schwarz inequality (open as a page)

Question: 5 Parabola and circle (open as a page)

Question: 6 Inverse square root series (open as a page)

Question: 7 x to the power x to the power x (open as a page)

Question: 8 Vector geometry (open as a page)

Question: 9 Plank on cylinders (open as a page)

Question: 10 Car with air and rolling resistance (open as a page)

Question: 11 Projectile (open as a page)

Question: 12 Fishing (open as a page)

Question: 13 Game show (open as a page)

Step: 3

Question: 1 Inverse cube series (open as a page)

Question: 2 Transformations (open as a page)

Question: 3 Quartic equation (open as a page)

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