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STEP Support Programme

STEP Questions Database

2006

Step: 3

Question: 4 Functional equations (06-S3-Q4)
Question: 5 Complex Numbers (06-S3-Q5)
Question: 6 Polar coordinates (06-S3-Q6)
Question: 7 Differential equation (06-S3-Q7)
Question: 8 Diamond derivatives (06-S3-Q8)
Question: 9 Energy (06-S3-Q9)
Question: 10 Circular Motion (06-S3-Q10)
Question: 11 Collision (06-S3-Q11)
Question: 12 Normal distributions (06-S3-Q12)
Question: 13 Geometrical probability (06-S3-Q13)
Question: 14 Independence (06-S3-Q14)

2005

Step: 1

Question: 1 Number theory (05-S1-Q1)
Question: 2 Coordinate geometry (05-S1-Q2)
Question: 3 Solutions of equation (05-S1-Q3)
Question: 4 Trigonometry (05-S1-Q4)
Question: 5 Integration (05-S1-Q5)
Question: 6 Coordinate geometry (05-S1-Q6)
Question: 7 Product (05-S1-Q7)
Question: 8 Differential equation (05-S1-Q8)
Question: 9 Friction (05-S1-Q9)
Question: 10 Collision (05-S1-Q10)
Question: 11 Time-distance (05-S1-Q11)
Question: 12 Hobbit and Wizard (05-S1-Q12)
Question: 13 Normal distribution (05-S1-Q13)
Question: 14 Discrete random variable (05-S1-Q14)

Step: 2

Question: 1 Polynomials (05-S2-Q1)
Question: 2 Number theory (05-S2-Q2)
Question: 3 Integration (05-S2-Q3)
Question: 4 Trigonometry (05-S2-Q4)
Question: 5 Euclidean geometry (05-S2-Q5)
Question: 6 Sum (05-S2-Q6)
Question: 7 Vectors (05-S2-Q7)
Question: 8 Differential equations (05-S2-Q8)
Question: 9 Friction (05-S2-Q9)
Question: 10 Projectile motion (05-S2-Q10)
Question: 11 Inclined plane (05-S2-Q11)
Question: 12 Elementary probability (05-S2-Q12)
Question: 13 Poisson distribution (05-S2-Q13)
Question: 14 Pdf (05-S2-Q14)

Step: 3

Question: 1 Curve sketching (05-S3-Q1)
Question: 2 Differential equations (05-S3-Q2)
Question: 3 Polynomials (05-S3-Q3)
Question: 4 Recurrence relations (05-S3-Q4)
Question: 5 Coordinate geometry (05-S3-Q5)
Question: 6 Hyperbolic functions (05-S3-Q6)
Question: 7 Integration by substitution (05-S3-Q7)
Question: 8 Complex Numbers (05-S3-Q8)
Question: 9 Collision (05-S3-Q9)
Question: 10 Collision (05-S3-Q10)
Question: 11 Circular Motion (05-S3-Q11)

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)