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).

2017

Step: 3

Question: 4 Geomtric mean (open as a page)

Question: 5 Polar equations (open as a page)

Question: 6 Arctan (open as a page)

Question: 7 Ellipse (open as a page)

Question: 8 Trigonometric sums (open as a page)

Question: 9 Particles connected by spring (open as a page)

Question: 10 Hinged rod (open as a page)

Question: 11 Gun carriage (open as a page)

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

Question: 13 Variance (open as a page)

2018

Step: 1

Question: 1 Area between curve and line (open as a page)

Question: 2 Logarithms (open as a page)

Question: 3 Hyperbola (open as a page)

Question: 4 Sketching an integral function (open as a page)

Question: 5 Polynomials at integer points (open as a page)

Question: 6 Numerical integration (open as a page)

Question: 7 Solving the cubic (open as a page)

Question: 8 Coupled differential equations (open as a page)

Question: 9 Motion on two inclined roads (open as a page)

Question: 10 Tension in train coupling (open as a page)

Question: 11 Pulley and rough inclined plane (open as a page)

Question: 12 Coin tosses (open as a page)

Question: 13 Multiple choice questions (open as a page)

Step: 2

Question: 1 Quartic repeated roots (open as a page)

Question: 2 Concave functions (open as a page)

Question: 3 Tan integral (open as a page)

Question: 4 Trigonometric equations (open as a page)

Question: 5 Integration of series (open as a page)

Question: 6 Factorial equations (open as a page)

Question: 7 Triangle intersection (open as a page)

Question: 8 Differential equations (open as a page)

Question: 9 Beads on wire (open as a page)

Question: 10 Ant on elastic string (open as a page)

Question: 11 Motorbike slipping (open as a page)

Question: 12 Coin toss game (open as a page)

Question: 13 Pass the parcel (open as a page)

Step: 3

Question: 1 Quadratic roots inequalities (open as a page)

Question: 2 Hermite polynomials (open as a page)

Question: 3 Second order differential equation (open as a page)

Question: 4 Tangent to hyperbola (open as a page)

Question: 5 Arithmetic mean - geometric mean (open as a page)

Question: 6 Complex geometry (open as a page)

Question: 7 Basel series (open as a page)

Question: 8 Integrating fractional part (open as a page)

Question: 9 Particle bouncing (open as a page)

Question: 10 Oscillating disc with point mass (open as a page)

Question: 11 Slack pendulum (open as a page)

Question: 12 Ordering samples (open as a page)

Question: 13 Poisson distribution (open as a page)

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