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STEP Support Programme

STEP Questions Database

2011

Step: 3

Question: 4 Inequalities (11-S3-Q4)
Question: 5 Integration (11-S3-Q5)
Question: 6 Integrals (11-S3-Q6)
Question: 7 Proof by Induction (11-S3-Q7)
Question: 8 Mobius map (11-S3-Q8)
Question: 9 Equilibrium (11-S3-Q9)
Question: 10 Collision (11-S3-Q10)
Question: 11 Circular Motion (11-S3-Q11)
Question: 12 Pgf (11-S3-Q12)
Question: 13 Integer part (11-S3-Q13)

2010

Step: 1

Question: 1 Simultaneous equations (10-S1-Q1)
Question: 2 Curve sketching (10-S1-Q2)
Question: 3 Trigonometry (10-S1-Q3)
Question: 4 Integration by substitution (10-S1-Q4)
Question: 5 Binomial coefficients (10-S1-Q5)
Question: 6 Differential equations (10-S1-Q6)
Question: 7 Vector geometry (10-S1-Q7)
Question: 8 Number theory (10-S1-Q8)
Question: 9 Friction (10-S1-Q9)
Question: 10 Time-displacement (10-S1-Q10)
Question: 11 Collision (10-S1-Q11)
Question: 12 Discrete random variables (10-S1-Q12)
Question: 13 Poisson distribution (10-S1-Q13)

Step: 2

Question: 1 Osculating circle (10-S2-Q1)
Question: 2 Integration (10-S2-Q2)
Question: 3 Fibonacci numbers (10-S2-Q3)
Question: 4 Integration by substitution (10-S2-Q4)
Question: 5 Vector geometry (10-S2-Q5)
Question: 6 Elementary geometry (10-S2-Q6)
Question: 7 Quadratic equation (10-S2-Q7)
Question: 8 Integration (10-S2-Q8)
Question: 9 Projectile motion (10-S2-Q9)
Question: 10 Collision (10-S2-Q10)
Question: 11 Equilibrium (10-S2-Q11)
Question: 12 Continuous random variable (10-S2-Q12)
Question: 13 Elementary probability (10-S2-Q13)

Step: 3

Question: 1 Sum (10-S3-Q1)
Question: 2 Integration (10-S3-Q2)
Question: 3 Complex Numbers (10-S3-Q3)
Question: 4 Quadratic equations (10-S3-Q4)
Question: 5 Coordinate geometry (10-S3-Q5)
Question: 6 Coordinate geometry (10-S3-Q6)
Question: 7 Maclaurin series (10-S3-Q7)
Question: 8 Integrating factors (10-S3-Q8)
Question: 9 Equilibrium (10-S3-Q9)
Question: 10 SHM (10-S3-Q10)
Question: 11 Friction force (10-S3-Q11)
Question: 12 Expectation (10-S3-Q12)
Question: 13 Corr (10-S3-Q13)

2009

Step: 1

Question: 1 Number theory (09-S1-Q1)

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)