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STEP Support Programme

STEP Questions Database

2015

Step: 3

Question: 10 Kinematics (15-S3-Q10)
Question: 11 Circular Motion (15-S3-Q11)
Question: 12 Dice (15-S3-Q12)
Question: 13 Uniform distribution (15-S3-Q13)

2014

Step: 1

Question: 1 Number theory (14-S1-Q1)
Question: 2 Integration (14-S1-Q2)
Question: 3 Curve sketching (14-S1-Q3)
Question: 4 Clock (14-S1-Q4)
Question: 5 Cubic equations (14-S1-Q5)
Question: 6 Sequences (14-S1-Q6)
Question: 7 Vector geometry (14-S1-Q7)
Question: 8 Coordinate geometry (14-S1-Q8)
Question: 9 Projectile motion (14-S1-Q9)
Question: 10 Collision (14-S1-Q10)
Question: 11 Pulley (14-S1-Q11)
Question: 12 Gambling (14-S1-Q12)
Question: 13 Triangular distribution (14-S1-Q13)

Step: 2

Question: 1 Euclidean geometry (14-S2-Q1)
Question: 2 Inequality (14-S2-Q2)
Question: 3 Coordinate geometry (14-S2-Q3)
Question: 4 Integration by substitution (14-S2-Q4)
Question: 5 Differential equations (14-S2-Q5)
Question: 6 Trigonometric series (14-S2-Q6)
Question: 7 Curve sketching (14-S2-Q7)
Question: 8 Binomial expansion (14-S2-Q8)
Question: 9 Friction (14-S2-Q9)
Question: 10 Projectile motion (14-S2-Q10)
Question: 11 Circular Motion (14-S2-Q11)
Question: 12 Hazard function (14-S2-Q12)
Question: 13 Discrete random variables (14-S2-Q13)

Step: 3

Question: 1 Series (14-S3-Q1)
Question: 2 Integration by substitution (14-S3-Q2)
Question: 3 Coordinate geometry (14-S3-Q3)
Question: 4 Variational principle (14-S3-Q4)
Question: 5 Complex Numbers (14-S3-Q5)
Question: 6 Analysis (14-S3-Q6)
Question: 7 Vectors (14-S3-Q7)
Question: 8 Analysis (14-S3-Q8)
Question: 9 Projectile motion (14-S3-Q9)
Question: 10 Hooke's Law (14-S3-Q10)
Question: 11 Circular Motion (14-S3-Q11)
Question: 12 Normal distribution (14-S3-Q12)
Question: 13 Pgf (14-S3-Q13)

2013

Step: 1

Question: 1 Square roots (13-S1-Q1)
Question: 2 Integer part (13-S1-Q2)
Question: 3 Vectors (13-S1-Q3)
Question: 4 Integration by substitution (13-S1-Q4)
Question: 5 Curve sketching (13-S1-Q5)
Question: 6 Binomial coefficients (13-S1-Q6)
Question: 7 Differential equations (13-S1-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)