STEP Questions Database

1990

Step: 3

Question: 10 Roots of equations (90-S3-Q10)

Question: 11 Equilibrium (90-S3-Q11)

Question: 12 Equilibrium (90-S3-Q12)

Question: 13 Projectile motion (90-S3-Q13)

Question: 14 Work done (90-S3-Q14)

Question: 15 Discrete random variables (90-S3-Q15)

Question: 16 Normal and Uniform distribution (90-S3-Q16)

1989

Step: 1

Question: 1 Euclidean geometry (89-S1-Q1)

Question: 2 Integration (89-S1-Q2)

Question: 3 Vector geometry (89-S1-Q3)

Question: 4 Euclidean geometry (89-S1-Q4)

Question: 5 Binomial expansion (89-S1-Q5)

Question: 6 Coordinate geometry (89-S1-Q6)

Question: 7 Curve sketching (89-S1-Q7)

Question: 8 Complex Numbers (89-S1-Q8)

Question: 9 Curve sketching (89-S1-Q9)

Question: 10 Acceleration (89-S1-Q10)

Question: 11 Projectile motion (89-S1-Q11)

Question: 12 Centre of mass (89-S1-Q12)

Question: 13 Friction (89-S1-Q13)

Question: 14 Continuous random variable (89-S1-Q14)

Question: 15 Poission distribution (89-S1-Q15)

Question: 16 Discrete random variable (89-S1-Q16)

Step: 2

Question: 1 Cubic equation (89-S2-Q1)

Question: 2 Series (89-S2-Q2)

Question: 3 Complex Numbers (89-S2-Q3)

Question: 4 Curve sketching (89-S2-Q4)

Question: 5 Polar coordinates (89-S2-Q5)

Question: 6 Integration (89-S2-Q6)

Question: 7 Differential equation (89-S2-Q7)

Question: 8 Groups (89-S2-Q8)

Question: 9 Matrices (89-S2-Q9)

Question: 10 Vector geometry (89-S2-Q10)

Question: 11 Collision (89-S2-Q11)

Question: 12 Equilibrium (89-S2-Q12)

Question: 13 Centre of mass (89-S2-Q13)

Question: 14 Equilibrium (89-S2-Q14)

Question: 15 Probability density function (89-S2-Q15)

Question: 16 Binomial distribution (89-S2-Q16)

Step: 3

Question: 1 3-D geometry (89-S3-Q1)

Question: 2 Coordinate geometry (89-S3-Q2)

Question: 3 Groups (89-S3-Q3)

Question: 4 Curve sketching (89-S3-Q4)

Question: 5 Hyperbolic functions (89-S3-Q5)

Question: 6 Polar coordinates (89-S3-Q6)

Question: 7 Transformation (89-S3-Q7)

Question: 8 Differential equation (89-S3-Q8)

Question: 9 Infinite series (89-S3-Q9)

Question: 10 Riemann integration (89-S3-Q10)

Question: 11 Collision (89-S3-Q11)

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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1990

Step: 3

1989

Step: 1

Step: 2

Step: 3

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