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STEP Support Programme

STEP Questions Database

2002

Step: 1

Question: 14 Poisson distribution (02-S1-Q14)

Step: 2

Question: 1 Integral (02-S2-Q1)
Question: 2 Polynomial equation (02-S2-Q2)
Question: 3 Fermat number (02-S2-Q3)
Question: 4 Trigonometry (02-S2-Q4)
Question: 5 Logistic map (02-S2-Q5)
Question: 6 Euclidean geometry (02-S2-Q6)
Question: 7 3-D geometry (02-S2-Q7)
Question: 8 Differential equation (02-S2-Q8)
Question: 9 Projectile motion (02-S2-Q9)
Question: 10 Time-distance (02-S2-Q10)
Question: 11 Friction (02-S2-Q11)
Question: 12 Coin toss (02-S2-Q12)
Question: 13 Cdf (02-S2-Q13)
Question: 14 Geometric probability (02-S2-Q14)

Step: 3

Question: 1 Volume of revolution (02-S3-Q1)
Question: 2 Trigonometry (02-S3-Q2)
Question: 3 Curve sketching (02-S3-Q3)
Question: 4 Inequality (02-S3-Q4)
Question: 5 Quartic equation (02-S3-Q5)
Question: 6 Differential equation (02-S3-Q6)
Question: 7 Inequality (02-S3-Q7)
Question: 8 Complex Numbers (02-S3-Q8)
Question: 9 Inclined plane (02-S3-Q9)
Question: 10 Friction (02-S3-Q10)
Question: 11 Collision (02-S3-Q11)
Question: 12 Coin toss (02-S3-Q12)
Question: 13 Continuous random variable (02-S3-Q13)
Question: 14 Discrete random variable (02-S3-Q14)

2001

Step: 1

Question: 1 Euclidean geometry (01-S1-Q1)
Question: 2 Inequality (01-S1-Q2)
Question: 3 Polynomials (01-S1-Q3)
Question: 4 Trigonometry (01-S1-Q4)
Question: 5 Integral (01-S1-Q5)
Question: 6 Area/Volume of revolution (01-S1-Q6)
Question: 7 Hubble's constant (01-S1-Q7)
Question: 8 Differential equations (01-S1-Q8)
Question: 9 Time-distance (01-S1-Q9)
Question: 10 Projectile motion (01-S1-Q10)
Question: 11 Hooke's Law (01-S1-Q11)
Question: 12 Tree diagram (01-S1-Q12)
Question: 13 Poisson distribution (01-S1-Q13)
Question: 14 Combintorics (01-S1-Q14)

Step: 2

Question: 1 Binomial approximation (01-S2-Q1)
Question: 2 Curve sketching (01-S2-Q2)
Question: 3 Euclidean geometry (01-S2-Q3)
Question: 4 Trigonometry (01-S2-Q4)
Question: 5 Differential equation (01-S2-Q5)
Question: 6 Integral (01-S2-Q6)
Question: 7 Complex number (01-S2-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)