skip to content

STEP Support Programme

STEP Questions Database

2013

Step: 1

Question: 8 Functions (13-S1-Q8)
Question: 9 Projectile motion (13-S1-Q9)
Question: 10 Collision and Friction (13-S1-Q10)
Question: 11 Friction (13-S1-Q11)
Question: 12 Stirling's approximation (13-S1-Q12)
Question: 13 Discrete random distribution (13-S1-Q13)

Step: 2

Question: 1 Curve sketching (13-S2-Q1)
Question: 2 Integration (13-S2-Q2)
Question: 3 Cubic equation (13-S2-Q3)
Question: 4 Coordinate geometry (13-S2-Q4)
Question: 5 Functions (13-S2-Q5)
Question: 6 Sequences (13-S2-Q6)
Question: 7 Number theory (13-S2-Q7)
Question: 8 Functions (13-S2-Q8)
Question: 9 Friction (13-S2-Q9)
Question: 10 Projectile motion (13-S2-Q10)
Question: 11 Collision (13-S2-Q11)
Question: 12 Poisson distributions (13-S2-Q12)
Question: 13 Coin toss (13-S2-Q13)

Step: 3

Question: 1 Integration (13-S3-Q1)
Question: 2 Infinite series (13-S3-Q2)
Question: 3 Vector geometry (13-S3-Q3)
Question: 4 Complex sum (13-S3-Q4)
Question: 5 Number theory (13-S3-Q5)
Question: 6 Complex Numbers (13-S3-Q6)
Question: 7 Differential equations (13-S3-Q7)
Question: 8 Conic sections (13-S3-Q8)
Question: 9 SHM (13-S3-Q9)
Question: 10 Circular Motion (13-S3-Q10)
Question: 11 Hooke's Law (13-S3-Q11)
Question: 12 Discrete random variable (13-S3-Q12)
Question: 13 Cdf (13-S3-Q13)

2012

Step: 1

Question: 1 Coordinate geometry (12-S1-Q1)
Question: 2 Curve sketching (12-S1-Q2)
Question: 3 Inequality (12-S1-Q3)
Question: 4 Coordinate geometry (12-S1-Q4)
Question: 5 Integration (12-S1-Q5)
Question: 6 Euclidean geometry (12-S1-Q6)
Question: 7 Sequences (12-S1-Q7)
Question: 8 Differential equation (12-S1-Q8)
Question: 9 Projectile motion (12-S1-Q9)
Question: 10 Time-distance (12-S1-Q10)
Question: 11 Pulley (12-S1-Q11)
Question: 12 Pdf (12-S1-Q12)
Question: 13 Random integer (12-S1-Q13)

Step: 2

Question: 1 Binomial expansion (12-S2-Q1)
Question: 2 Polynomials (12-S2-Q2)
Question: 3 Integration by substitution (12-S2-Q3)
Question: 4 Analysis (12-S2-Q4)
Question: 5 Curve sketching (12-S2-Q5)

Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)