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STEP Support Programme

STEP Questions Database

2008

Step: 1

Question: 13 Combinatorics (08-S1-Q13)

Step: 2

Question: 1 Sequences (08-S2-Q1)
Question: 2 Binomial expansion (08-S2-Q2)
Question: 3 Cubic equations (08-S2-Q3)
Question: 4 Differentiation (08-S2-Q4)
Question: 5 Integrals (08-S2-Q5)
Question: 6 Trigonometry (08-S2-Q6)
Question: 7 Differential equation (08-S2-Q7)
Question: 8 Vector geometry (08-S2-Q8)
Question: 9 Projectile motion (08-S2-Q9)
Question: 10 Collision (08-S2-Q10)
Question: 11 Friction (08-S2-Q11)
Question: 12 Court of Farnia (08-S2-Q12)
Question: 13 Sampling with/out replacement (08-S2-Q13)

Step: 3

Question: 1 Simultaneous equations (08-S3-Q1)
Question: 2 Polynomials (08-S3-Q2)
Question: 3 Conic sections (08-S3-Q3)
Question: 4 Inequality (08-S3-Q4)
Question: 5 Chebyshev's polynomial (08-S3-Q5)
Question: 6 Differential equation (08-S3-Q6)
Question: 7 Complex number (08-S3-Q7)
Question: 8 Infinite series (08-S3-Q8)
Question: 9 Time-distance (08-S3-Q9)
Question: 10 Hooke's Law (08-S3-Q10)
Question: 11 Circular Motion (08-S3-Q11)
Question: 12 Laplace distribution (08-S3-Q12)
Question: 13 Geometrical probability (08-S3-Q13)

2007

Step: 1

Question: 1 Number theory (07-S1-Q1)
Question: 2 Trigonometry (07-S1-Q2)
Question: 3 Integration (07-S1-Q3)
Question: 4 Cubic equations (07-S1-Q4)
Question: 5 Elementary geometry (07-S1-Q5)
Question: 6 Numbers (07-S1-Q6)
Question: 7 Vectors (07-S1-Q7)
Question: 8 Curve sketching (07-S1-Q8)
Question: 9 Friction (07-S1-Q9)
Question: 10 Norman army (07-S1-Q10)
Question: 11 Projectile motion (07-S1-Q11)
Question: 12 Coin and sweets (07-S1-Q12)
Question: 13 Sampling with/out replacement (07-S1-Q13)
Question: 14 Poisson distribution (07-S1-Q14)

Step: 2

Question: 1 Binomial approximations (07-S2-Q1)
Question: 2 Cubic equation (07-S2-Q2)
Question: 3 Integration by substitution (07-S2-Q3)
Question: 4 Trigonometry (07-S2-Q4)
Question: 5 Functions (07-S2-Q5)
Question: 6 Differential equation (07-S2-Q6)
Question: 7 Jensen's inequality (07-S2-Q7)
Question: 8 Vector geometry (07-S2-Q8)
Question: 9 Collision (07-S2-Q9)

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)