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STEP Questions Database

2003

Step: 1

Question: 6 Integrals (03-S1-Q6)
Question: 7 Number theory (03-S1-Q7)
Question: 8 Differential equations (03-S1-Q8)
Question: 9 Projectile motion (03-S1-Q9)
Question: 10 Centre of gravity (03-S1-Q10)
Question: 11 Collision (03-S1-Q11)
Question: 12 Sampling with/out replacement (03-S1-Q12)
Question: 13 Binomial distribution (03-S1-Q13)
Question: 14 Poisson distribution (03-S1-Q14)

Step: 2

Question: 1 Simultaneous equations (03-S2-Q1)
Question: 2 Trigonometry (03-S2-Q2)
Question: 3 Irrational number (03-S2-Q3)
Question: 4 Euclidean geometry (03-S2-Q4)
Question: 5 Vector geometry (03-S2-Q5)
Question: 6 Integration (03-S2-Q6)
Question: 7 Analysis (03-S2-Q7)
Question: 8 Differential equations (03-S2-Q8)
Question: 9 Friction (03-S2-Q9)
Question: 10 Acceleration (03-S2-Q10)
Question: 11 Projectile motion (03-S2-Q11)
Question: 12 Elementary particles (03-S2-Q12)
Question: 13 Poisson distribution (03-S2-Q13)
Question: 14 Hypothesis testing (03-S2-Q14)

Step: 3

Question: 1 Integration (03-S3-Q1)
Question: 2 Binomial series (03-S3-Q2)
Question: 3 Curve sketching (03-S3-Q3)
Question: 4 Parametric equation (03-S3-Q4)
Question: 5 Cubic equations (03-S3-Q5)
Question: 6 Trigonometric series (03-S3-Q6)
Question: 7 Coordinate geometry (03-S3-Q7)
Question: 8 Differential equation (03-S3-Q8)
Question: 9 SHM (03-S3-Q9)
Question: 10 Acceleration (03-S3-Q10)
Question: 11 Projectile motion (03-S3-Q11)
Question: 12 Poisson distribution (03-S3-Q12)
Question: 13 Rabbit warren (03-S3-Q13)
Question: 14 Dice roll (03-S3-Q14)

2002

Step: 1

Question: 1 Simultaneous equations (02-S1-Q1)
Question: 2 Curve sketching (02-S1-Q2)
Question: 3 Inequalities (02-S1-Q3)
Question: 4 Curve sketching (02-S1-Q4)
Question: 5 Roots of polynomials (02-S1-Q5)
Question: 6 Euclidean geometry (02-S1-Q6)
Question: 7 Integral (02-S1-Q7)
Question: 8 Geometric series (02-S1-Q8)
Question: 9 Friction (02-S1-Q9)
Question: 10 Collision (02-S1-Q10)
Question: 11 Collision (02-S1-Q11)
Question: 12 Harry the Calculating Horse (02-S1-Q12)
Question: 13 Discrete random variable (02-S1-Q13)

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)

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