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STEP Support Programme

STEP Questions Database

2000

Step: 3

Question: 2 Integration by substitution (00-S3-Q2)
Question: 3 Complex Numbers (00-S3-Q3)
Question: 4 Curve sketching (00-S3-Q4)
Question: 5 2d Vector product (00-S3-Q5)
Question: 6 Polynomials (00-S3-Q6)
Question: 7 Analysis (00-S3-Q7)
Question: 8 Proof by Induction (00-S3-Q8)
Question: 9 Collision (00-S3-Q9)
Question: 10 Friction (00-S3-Q10)
Question: 11 Friction (00-S3-Q11)
Question: 12 Lottery (00-S3-Q12)
Question: 13 Pgf (00-S3-Q13)
Question: 14 Joint distribution (00-S3-Q14)

1999

Step: 1

Question: 1 Number theory (99-S1-Q1)
Question: 2 Coordinate geometry (99-S1-Q2)
Question: 3 Recurrence relation (99-S1-Q3)
Question: 4 Curve sketching (99-S1-Q4)
Question: 5 Approximation (99-S1-Q5)
Question: 6 Inequality (99-S1-Q6)
Question: 7 Differential equation (99-S1-Q7)
Question: 8 Analysis (99-S1-Q8)
Question: 9 Time-distance (99-S1-Q9)
Question: 10 SHM (99-S1-Q10)
Question: 11 Gravitational attraction (99-S1-Q11)
Question: 12 Die (99-S1-Q12)
Question: 13 Geometrical probability (99-S1-Q13)
Question: 14 Continuous random variable (99-S1-Q14)

Step: 2

Question: 1 Binomial expansion (99-S2-Q1)
Question: 2 Quadratic equation (99-S2-Q2)
Question: 3 Proof by Induction (99-S2-Q3)
Question: 4 Binomial expansion (99-S2-Q4)
Question: 5 Trigonometry (99-S2-Q5)
Question: 6 Integral (99-S2-Q6)
Question: 7 Curve sketching (99-S2-Q7)
Question: 8 Analysis (99-S2-Q8)
Question: 9 Differential equation (99-S2-Q9)
Question: 10 Collision (99-S2-Q10)
Question: 11 Projectile motion (99-S2-Q11)
Question: 12 Micro-chip (99-S2-Q12)
Question: 13 Geometrical probability (99-S2-Q13)
Question: 14 Die (99-S2-Q14)

Step: 3

Question: 1 Cubic equation (99-S3-Q1)
Question: 2 Curve sketching (99-S3-Q2)
Question: 3 Limit (99-S3-Q3)
Question: 4 Elementary geometry (99-S3-Q4)
Question: 5 Difference equation (99-S3-Q5)
Question: 6 Parametric equation (99-S3-Q6)
Question: 7 Groups (99-S3-Q7)
Question: 8 Differential equation (99-S3-Q8)
Question: 9 Gravitational force (99-S3-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)