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STEP Support Programme

STEP Questions Database

1997

Step: 1

Question: 4 Modulus function (97-S1-Q4)
Question: 5 Euclidean geometry (97-S1-Q5)
Question: 6 Analysis (97-S1-Q6)
Question: 7 Cubic polynomial (97-S1-Q7)
Question: 8 Curve sketching (97-S1-Q8)
Question: 9 How does a chicken cross the road? (97-S1-Q9)
Question: 10 Circular Motion (97-S1-Q10)
Question: 11 Projectile motion (97-S1-Q11)
Question: 12 Uniform distribution (97-S1-Q12)
Question: 13 Elementary probability (97-S1-Q13)
Question: 14 Continuous random variable (97-S1-Q14)

Step: 2

Question: 1 Number theory (97-S2-Q1)
Question: 2 Proof by Induction (97-S2-Q2)
Question: 3 Integral (97-S2-Q3)
Question: 4 Polynomials (97-S2-Q4)
Question: 5 Complex Numbers (97-S2-Q5)
Question: 6 Trigonometry (97-S2-Q6)
Question: 7 Curve sketching (97-S2-Q7)
Question: 8 Inequalities (97-S2-Q8)
Question: 9 Friction (97-S2-Q9)
Question: 10 Collision (97-S2-Q10)
Question: 11 Projectile motion (97-S2-Q11)
Question: 12 Binomial expansion (97-S2-Q12)
Question: 13 Geometrical probability (97-S2-Q13)
Question: 14 Poisson distribution (97-S2-Q14)

Step: 3

Question: 1 Taylor series (97-S3-Q1)
Question: 2 Curve sketching (97-S3-Q2)
Question: 3 Complex Numbers (97-S3-Q3)
Question: 4 AM-GM inequality (97-S3-Q4)
Question: 5 Surface of revolution (97-S3-Q5)
Question: 6 Differential equation (97-S3-Q6)
Question: 7 e is irrational (97-S3-Q7)
Question: 8 Transformations (97-S3-Q8)
Question: 9 Hooke's Law (97-S3-Q9)
Question: 10 Circular Motion (97-S3-Q10)
Question: 11 Equilibrium (97-S3-Q11)
Question: 12 Coin toss (97-S3-Q12)
Question: 13 Pdf (97-S3-Q13)
Question: 14 Independence (97-S3-Q14)

1996

Step: 1

Question: 1 Differentiation (96-S1-Q1)
Question: 2 Integration (96-S1-Q2)
Question: 3 Number theory (96-S1-Q3)
Question: 4 Integral (96-S1-Q4)
Question: 5 Complex Numbers (96-S1-Q5)
Question: 6 Analysis (96-S1-Q6)
Question: 7 Differential equation (96-S1-Q7)
Question: 8 Decimal expansions (96-S1-Q8)
Question: 9 Hooke's Law (96-S1-Q9)
Question: 10 Collision (96-S1-Q10)
Question: 11 Projectile motion (96-S1-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)