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STEP Support Programme

STEP Questions Database

1996

Step: 1

Question: 12 Combinatorics (96-S1-Q12)
Question: 13 Discrete random variable (96-S1-Q13)
Question: 14 Coin toss (96-S1-Q14)

Step: 2

Question: 1 Binomial expansion (96-S2-Q1)
Question: 2 Simultaneous equations (96-S2-Q2)
Question: 3 Fibonacci number (96-S2-Q3)
Question: 4 Integral (96-S2-Q4)
Question: 5 Complex Numbers (96-S2-Q5)
Question: 6 Number theory (96-S2-Q6)
Question: 7 Euclidean geometry (96-S2-Q7)
Question: 8 Differential equation (96-S2-Q8)
Question: 9 Centre of mass (96-S2-Q9)
Question: 10 Circular Motion (96-S2-Q10)
Question: 11 SHM (96-S2-Q11)
Question: 12 Pdf (96-S2-Q12)
Question: 13 Binomial distribution (96-S2-Q13)
Question: 14 Continuous random variable (96-S2-Q14)

Step: 3

Question: 1 Hyperbolic functions (96-S3-Q1)
Question: 2 Simultaneous equations (96-S3-Q2)
Question: 3 Integral (96-S3-Q3)
Question: 4 Number theory (96-S3-Q4)
Question: 5 Complex Numbers (96-S3-Q5)
Question: 6 Groups (96-S3-Q6)
Question: 7 Area and perimeters (96-S3-Q7)
Question: 8 Transformation (96-S3-Q8)
Question: 9 Centre of mass (96-S3-Q9)
Question: 10 Friction (96-S3-Q10)
Question: 11 SHM (96-S3-Q11)
Question: 12 Markov chains (96-S3-Q12)
Question: 13 Chebyshev's inequality (96-S3-Q13)
Question: 14 Differential equation (96-S3-Q14)

1995

Step: 1

Question: 1 Inequalities (95-S1-Q1)
Question: 2 Integration (95-S1-Q2)
Question: 3 Proof by Induction (95-S1-Q3)
Question: 4 Complex Numbers (95-S1-Q4)
Question: 5 Analysis (95-S1-Q5)
Question: 6 Differential equations (95-S1-Q6)
Question: 7 Vector geometry (95-S1-Q7)
Question: 8 Differential equation (95-S1-Q8)
Question: 9 Projectile motion (95-S1-Q9)
Question: 10 Hooke's Law (95-S1-Q10)
Question: 11 Friction (95-S1-Q11)
Question: 12 Elementary probability (95-S1-Q12)
Question: 13 Poisson distribution (95-S1-Q13)
Question: 14 Normal distribution (95-S1-Q14)

Step: 2

Question: 1 Sum (95-S2-Q1)
Question: 2 Combinatorics (95-S2-Q2)
Question: 3 Tour de Clochemerle (95-S2-Q3)
Question: 4 Analysis (95-S2-Q4)
Question: 5 Elementary geometry (95-S2-Q5)

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)