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.
2017
Step: 3
Question: 4 Geomtric mean (17-S3-Q4)
Question: 5 Polar equations (17-S3-Q5)
Question: 8 Trigonometric sums (17-S3-Q8)
Question: 9 Particles connected by spring (17-S3-Q9)
Question: 10 Hinged rod (17-S3-Q10)
Question: 11 Gun carriage (17-S3-Q11)
Question: 12 Discrete random variable (17-S3-Q12)
2018
Step: 1
Question: 1 Area between curve and line (18-S1-Q1)
Question: 2 Logarithms (18-S1-Q2)
Question: 4 Sketching an integral function (18-S1-Q4)
Question: 5 Polynomials at integer points (18-S1-Q5)
Question: 6 Numerical integration (18-S1-Q6)
Question: 7 Solving the cubic (18-S1-Q7)
Question: 8 Coupled differential equations (18-S1-Q8)
Question: 9 Motion on two inclined roads (18-S1-Q9)
Question: 10 Tension in train coupling (18-S1-Q10)
Question: 11 Pulley and rough inclined plane (18-S1-Q11)
Question: 12 Coin tosses (18-S1-Q12)
Question: 13 Multiple choice questions (18-S1-Q13)
Step: 2
Question: 1 Quartic repeated roots (18-S2-Q1)
Question: 2 Concave functions (18-S2-Q2)
Question: 3 Tan integral (18-S2-Q3)
Question: 4 Trigonometric equations (18-S2-Q4)
Question: 5 Integration of series (18-S2-Q5)
Question: 6 Factorial equations (18-S2-Q6)
Question: 7 Triangle intersection (18-S2-Q7)
Question: 8 Differential equations (18-S2-Q8)
Question: 9 Beads on wire (18-S2-Q9)
Question: 10 Ant on elastic string (18-S2-Q10)
Question: 11 Motorbike slipping (18-S2-Q11)
Question: 12 Coin toss game (18-S2-Q12)
Question: 13 Pass the parcel (18-S2-Q13)
Step: 3
Question: 1 Quadratic roots inequalities (18-S3-Q1)
Question: 2 Hermite polynomials (18-S3-Q2)
Question: 3 Second order differential equation (18-S3-Q3)
Question: 4 Tangent to hyperbola (18-S3-Q4)
Question: 5 Arithmetic mean - geometric mean (18-S3-Q5)
Question: 6 Complex geometry (18-S3-Q6)
Question: 7 Basel series (18-S3-Q7)
Question: 8 Integrating fractional part (18-S3-Q8)
Question: 9 Particle bouncing (18-S3-Q9)
Question: 10 Oscillating disc with point mass (18-S3-Q10)
Question: 11 Slack pendulum (18-S3-Q11)
Question: 12 Ordering samples (18-S3-Q12)
Question: 13 Poisson distribution (18-S3-Q13)
