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.
2016
Step: 2
Question: 6 Quadratic differential equation (16-S2-Q6)
Question: 7 Trigonometric integrals (16-S2-Q7)
Question: 8 Approximating sums using integrals (16-S2-Q8)
Question: 9 Bullet fired into block (16-S2-Q9)
Question: 10 Hanging triangle (16-S2-Q10)
Question: 11 Projectile and target (16-S2-Q11)
Question: 12 Old hat probability problem (16-S2-Q12)
Question: 13 Binomial distribution approximations (16-S2-Q13)
Step: 3
Question: 1 Integral reduction (16-S3-Q1)
Question: 2 Parabola normals (16-S3-Q2)
Question: 3 Integration (16-S3-Q3)
Question: 4 Telescoping sums (16-S3-Q4)
Question: 5 Prime number distribution (16-S3-Q5)
Question: 6 Intersecting curves number (16-S3-Q6)
Question: 7 Argand geometry (16-S3-Q7)
Question: 8 Functional equations (16-S3-Q8)
Question: 9 Simple harmonic motion (16-S3-Q9)
Question: 10 Motion on a plane (16-S3-Q10)
Question: 11 Accelerating car (16-S3-Q11)
Question: 12 Chebyshev's inequality (16-S3-Q12)
2017
Step: 1
Question: 1 Integration by substitution (17-S1-Q1)
Question: 2 Inequlaities (17-S1-Q2)
Question: 4 Geometric progression (17-S1-Q4)
Question: 5 Area of rectangle in circle segment (17-S1-Q5)
Question: 6 Integration (17-S1-Q6)
Question: 9 Projectile motion (17-S1-Q9)
Question: 10 Colliding particles (17-S1-Q10)
Question: 11 Box on inclined plane (17-S1-Q11)
Question: 13 Sliced loaf (17-S1-Q13)
Step: 2
Question: 1 arctan integral (17-S2-Q1)
Question: 2 Periodic sequences (17-S2-Q2)
Question: 3 Trigonometric equations (17-S2-Q3)
Question: 4 Schwarz inequality (17-S2-Q4)
Question: 5 Parabola and circle (17-S2-Q5)
Question: 6 Inverse square root series (17-S2-Q6)
Question: 7 x to the power x to the power x (17-S2-Q7)
Question: 8 Vector geometry (17-S2-Q8)
Question: 9 Plank on cylinders (17-S2-Q9)
Question: 10 Car with air and rolling resistance (17-S2-Q10)
Question: 11 Projectile (17-S2-Q11)
Step: 3
Question: 1 Inverse cube series (17-S3-Q1)
Question: 2 Transformations (17-S3-Q2)
Question: 3 Quartic equation (17-S3-Q3)
