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STEP Support Programme

STEP Questions Database

1999

Step: 3

Question: 10 Impulse (99-S3-Q10)
Question: 11 Circular Motion (99-S3-Q11)
Question: 12 Discrete random variable (99-S3-Q12)
Question: 13 Continuous random variable (99-S3-Q13)
Question: 14 Poisson distribution (99-S3-Q14)

1998

Step: 1

Question: 1 Numbers (98-S1-Q1)
Question: 2 Integration by substitution (98-S1-Q2)
Question: 3 Proof (98-S1-Q3)
Question: 4 Optimisation (98-S1-Q4)
Question: 5 Complex Numbers (98-S1-Q5)
Question: 6 Recurrence relation (98-S1-Q6)
Question: 7 Geometric sequences (98-S1-Q7)
Question: 8 Fluid dynamics (98-S1-Q8)
Question: 9 Collision (98-S1-Q9)
Question: 10 Projectile motion (98-S1-Q10)
Question: 11 Pulley (98-S1-Q11)
Question: 12 Algebraic probability (98-S1-Q12)
Question: 13 Sampling with replacement (98-S1-Q13)
Question: 14 Continuous random variable (98-S1-Q14)

Step: 2

Question: 1 Number theory (98-S2-Q1)
Question: 2 Binomial expansion (98-S2-Q2)
Question: 3 Analysis (98-S2-Q3)
Question: 4 Integration by parts (98-S2-Q4)
Question: 5 Complex Numbers (98-S2-Q5)
Question: 6 Parametric equations (98-S2-Q6)
Question: 7 Functions (98-S2-Q7)
Question: 8 Vector geometry (98-S2-Q8)
Question: 9 Centre of mass (98-S2-Q9)
Question: 10 Wedge (98-S2-Q10)
Question: 11 Projectile motion (98-S2-Q11)
Question: 12 Mathematitis (98-S2-Q12)
Question: 13 Continuous random variable (98-S2-Q13)
Question: 14 Poisson distribution (98-S2-Q14)

Step: 3

Question: 1 Curve sketching (98-S3-Q1)
Question: 2 Integral (98-S3-Q2)
Question: 3 Difference equation (98-S3-Q3)
Question: 4 Polar coordinates (98-S3-Q4)
Question: 5 Matrices (98-S3-Q5)
Question: 6 Elementary geometry (98-S3-Q6)
Question: 7 Curve sketching (98-S3-Q7)
Question: 8 Vector geometry (98-S3-Q8)
Question: 9 SHM (98-S3-Q9)
Question: 10 Collision (98-S3-Q10)
Question: 11 Real pendulum (98-S3-Q11)
Question: 12 Elementary probability (98-S3-Q12)
Question: 13 MLE (98-S3-Q13)
Question: 14 Uniform distribution (98-S3-Q14)

1997

Step: 1

Question: 1 Combinatorics (97-S1-Q1)
Question: 2 Differentiation (97-S1-Q2)
Question: 3 Sequences (97-S1-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)