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STEP Support Programme

STEP Questions Database

2012

Step: 2

Question: 6 Euclidean geometry (12-S2-Q6)
Question: 7 Vector geometry (12-S2-Q7)
Question: 8 Difference equaetions (12-S2-Q8)
Question: 9 Projectile motion (12-S2-Q9)
Question: 10 Friction (12-S2-Q10)
Question: 11 Collision (12-S2-Q11)
Question: 12 Elementary probability (12-S2-Q12)
Question: 13 Geometric probability (12-S2-Q13)

Step: 3

Question: 1 Differential equation (12-S3-Q1)
Question: 2 Infinite series (12-S3-Q2)
Question: 3 Curve sketching (12-S3-Q3)
Question: 4 Sum (12-S3-Q4)
Question: 5 Ratinoal points (12-S3-Q5)
Question: 6 Complex number (12-S3-Q6)
Question: 7 Differential equation (12-S3-Q7)
Question: 8 Fibonacci sequence (12-S3-Q8)
Question: 9 Pulley (12-S3-Q9)
Question: 10 Circular Motion (12-S3-Q10)
Question: 11 Acceleration (12-S3-Q11)
Question: 12 Geometric probability (12-S3-Q12)
Question: 13 Normal distribution (12-S3-Q13)

2011

Step: 1

Question: 1 Differentiation (11-S1-Q1)
Question: 2 Integrals (11-S1-Q2)
Question: 3 Trigonometry (11-S1-Q3)
Question: 4 Coordinate geometry (11-S1-Q4)
Question: 5 Analysis (11-S1-Q5)
Question: 6 Binomial expansion (11-S1-Q6)
Question: 7 Fluid dynamics (11-S1-Q7)
Question: 8 Number theory (11-S1-Q8)
Question: 9 Projectile motion (11-S1-Q9)
Question: 10 Collision (11-S1-Q10)
Question: 11 Equilibrium (11-S1-Q11)
Question: 12 Raffle tickets (11-S1-Q12)
Question: 13 Continuous random variable (11-S1-Q13)

Step: 2

Question: 1 Square roots (11-S2-Q1)
Question: 2 Number theory (11-S2-Q2)
Question: 3 Functions (11-S2-Q3)
Question: 4 Trigonometry (11-S2-Q4)
Question: 5 Vector geometry (11-S2-Q5)
Question: 6 Integration (11-S2-Q6)
Question: 7 Recurrence relations (11-S2-Q7)
Question: 8 Parametric equation (11-S2-Q8)
Question: 9 Collision (11-S2-Q9)
Question: 10 Projectile motion (11-S2-Q10)
Question: 11 Vector geometry (11-S2-Q11)
Question: 12 Elementary probability (11-S2-Q12)
Question: 13 Skewness (11-S2-Q13)

Step: 3

Question: 1 Differential equation (11-S3-Q1)
Question: 2 Number theory (11-S3-Q2)
Question: 3 Factorisation (11-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)