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STEP Support Programme

STEP Questions Database

2007

Step: 2

Question: 10 Friction (07-S2-Q10)
Question: 11 Projectile motion (07-S2-Q11)
Question: 12 Dice (07-S2-Q12)
Question: 13 Birthday problem (07-S2-Q13)
Question: 14 Pdf (07-S2-Q14)

Step: 3

Question: 1 Trigonometry (07-S3-Q1)
Question: 2 Sum (07-S3-Q2)
Question: 3 Fibonacci numbers (07-S3-Q3)
Question: 4 Parametric equations (07-S3-Q4)
Question: 5 Differential equations (07-S3-Q5)
Question: 6 Complex Numbers (07-S3-Q6)
Question: 7 Integration by substitution (07-S3-Q7)
Question: 8 Differential equations (07-S3-Q8)
Question: 9 SHM (07-S3-Q9)
Question: 10 Projectile motion (07-S3-Q10)
Question: 11 Friction (07-S3-Q11)
Question: 12 Discrete random variables (07-S3-Q12)
Question: 13 Random walk (07-S3-Q13)
Question: 14 Geometrical probability (07-S3-Q14)

2006

Step: 1

Question: 1 Number theory (06-S1-Q1)
Question: 2 Optimisation (06-S1-Q2)
Question: 3 Quadratic equations (06-S1-Q3)
Question: 4 Elementary geometry (06-S1-Q4)
Question: 5 Integration by substitution (06-S1-Q5)
Question: 6 Coordinate geometry (06-S1-Q6)
Question: 7 Integration (06-S1-Q7)
Question: 8 Coordinate geometry (06-S1-Q8)
Question: 9 Pulley (06-S1-Q9)
Question: 10 Projectile motion (06-S1-Q10)
Question: 11 Collision (06-S1-Q11)
Question: 12 Oxtown and Camville (06-S1-Q12)
Question: 13 Dice roll (06-S1-Q13)
Question: 14 Sampling with/out replacement (06-S1-Q14)

Step: 2

Question: 1 Difference equation (06-S2-Q1)
Question: 2 Analysis (06-S2-Q2)
Question: 3 Inequality (06-S2-Q3)
Question: 4 Integration by substitution (06-S2-Q4)
Question: 5 Floor function (06-S2-Q5)
Question: 6 Inequality (06-S2-Q6)
Question: 7 Coordinate geometry (06-S2-Q7)
Question: 8 Vector geometry (06-S2-Q8)
Question: 9 Ladder (06-S2-Q9)
Question: 10 Collision (06-S2-Q10)
Question: 11 Projectile motion (06-S2-Q11)
Question: 12 Binomial distribution (06-S2-Q12)
Question: 13 Elementary probability (06-S2-Q13)
Question: 14 Continuous random variable (06-S2-Q14)

Step: 3

Question: 1 Curve sketching (06-S3-Q1)
Question: 2 Integration (06-S3-Q2)
Question: 3 Series (06-S3-Q3)

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)