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STEP Support Programme

STEP Questions Database

1993

Step: 3

Question: 4 Sum of series (93-S3-Q4)
Question: 5 Groups (93-S3-Q5)
Question: 6 Complex Numbers (93-S3-Q6)
Question: 7 Hyperbolic functions (93-S3-Q7)
Question: 8 Coordinate geometry (93-S3-Q8)
Question: 9 Inequality (93-S3-Q9)
Question: 10 Linear transformation (93-S3-Q10)
Question: 11 Moment of inertia (93-S3-Q11)
Question: 12 Hooke's Law (93-S3-Q12)
Question: 13 Pulley (93-S3-Q13)
Question: 14 Collision (93-S3-Q14)
Question: 15 Coin toss (93-S3-Q15)
Question: 16 Truncated normal distribution (93-S3-Q16)

1992

Step: 1

Question: 1 Counting (92-S1-Q1)
Question: 2 Magic square (92-S1-Q2)
Question: 3 Integral (92-S1-Q3)
Question: 4 Complex number (92-S1-Q4)
Question: 5 Polynomial factors (92-S1-Q5)
Question: 6 Approximation (92-S1-Q6)
Question: 7 Functions (92-S1-Q7)
Question: 8 Derivative of an integral (92-S1-Q8)
Question: 9 Differentiation (92-S1-Q9)
Question: 10 Projectile motion (92-S1-Q10)
Question: 11 Elastic strings (92-S1-Q11)
Question: 12 Friction (92-S1-Q12)
Question: 13 Gravitational attraction (92-S1-Q13)
Question: 14 Statistics (92-S1-Q14)
Question: 15 Graphical probability (92-S1-Q15)
Question: 16 Elementary probability (92-S1-Q16)

Step: 2

Question: 1 Limits (92-S2-Q1)
Question: 2 Differential equations (92-S2-Q2)
Question: 3 Polar coordinates (92-S2-Q3)
Question: 4 Diamond derivative (92-S2-Q4)
Question: 5 Groups (92-S2-Q5)
Question: 6 Curve sketching (92-S2-Q6)
Question: 7 Cubic equation (92-S2-Q7)
Question: 8 Integrals (92-S2-Q8)
Question: 9 Vectors (92-S2-Q9)
Question: 10 Complex Numbers (92-S2-Q10)
Question: 11 Projectile motion (92-S2-Q11)
Question: 12 Hooke's Law (92-S2-Q12)
Question: 13 Friction (92-S2-Q13)
Question: 14 Pulley (92-S2-Q14)
Question: 15 Random walk (92-S2-Q15)
Question: 16 Elementary probability (92-S2-Q16)

Step: 3

Question: 1 Taylor series (92-S3-Q1)
Question: 2 Matrices (92-S3-Q2)
Question: 3 Parametric equations (92-S3-Q3)
Question: 4 Curve sketching (92-S3-Q4)
Question: 5 Vectors (92-S3-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)