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STEP Support Programme

STEP Questions Database

1992

Step: 3

Question: 6 Integration (92-S3-Q6)
Question: 7 Euclidean geometry (92-S3-Q7)
Question: 8 Sum (92-S3-Q8)
Question: 9 Conic sections (92-S3-Q9)
Question: 10 Parametric equation (92-S3-Q10)
Question: 11 Collision (92-S3-Q11)
Question: 12 Circular Motion (92-S3-Q12)
Question: 13 Hooke's Law (92-S3-Q13)
Question: 14 Projectile motion (92-S3-Q14)
Question: 15 Continuous random variable (92-S3-Q15)
Question: 16 Poisson distribution (92-S3-Q16)

1991

Step: 1

Question: 1 Trigonometry (91-S1-Q1)
Question: 2 Differentiation (91-S1-Q2)
Question: 3 Complex number (91-S1-Q3)
Question: 4 Differentiation (91-S1-Q4)
Question: 5 Vectors (91-S1-Q5)
Question: 6 Proof (91-S1-Q6)
Question: 7 Geometric progression (91-S1-Q7)
Question: 8 Integration by substitution (91-S1-Q8)
Question: 9 Analysis (91-S1-Q9)
Question: 10 Equilibrium (91-S1-Q10)
Question: 11 Pulley (91-S1-Q11)
Question: 12 Friction (91-S1-Q12)
Question: 13 Equilibrium (91-S1-Q13)
Question: 14 Elementary probability (91-S1-Q14)
Question: 15 Coin toss (91-S1-Q15)
Question: 16 Probability (91-S1-Q16)

Step: 2

Question: 1 Quadratic equations (91-S2-Q1)
Question: 2 Conic sections (91-S2-Q2)
Question: 3 Functions (91-S2-Q3)
Question: 4 Trigonometry (91-S2-Q4)
Question: 5 Integration (91-S2-Q5)
Question: 6 Inequality (91-S2-Q6)
Question: 7 Functions (91-S2-Q7)
Question: 8 Differential equations (91-S2-Q8)
Question: 9 Groups (91-S2-Q9)
Question: 10 Spherical polar coordinates (91-S2-Q10)
Question: 11 Projectile motion (91-S2-Q11)
Question: 12 Hooke's Law (91-S2-Q12)
Question: 13 Friction (91-S2-Q13)
Question: 14 Velocity (91-S2-Q14)
Question: 15 Elementary probability (91-S2-Q15)
Question: 16 Uniform distribution (91-S2-Q16)

Step: 3

Question: 1 Taylor series (91-S3-Q1)
Question: 2 Complex Numbers (91-S3-Q2)
Question: 3 Modulus function (91-S3-Q3)
Question: 4 Coordinate geometry (91-S3-Q4)
Question: 5 Differential equations (91-S3-Q5)
Question: 6 Transformation (91-S3-Q6)
Question: 7 Integration (91-S3-Q7)

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)