STEP Questions Database

1995

Step: 2

Question: 6 Complex Numbers (95-S2-Q6)

Question: 7 Heron's formula (95-S2-Q7)

Question: 8 Differential equations (95-S2-Q8)

Question: 9 Friction (95-S2-Q9)

Question: 10 Collision (95-S2-Q10)

Question: 11 Projectile motion (95-S2-Q11)

Question: 12 Elementary probability (95-S2-Q12)

Question: 13 Poisson distribution (95-S2-Q13)

Question: 14 Normal distribution (95-S2-Q14)

Step: 3

Question: 1 Simultaneous equations (95-S3-Q1)

Question: 2 Integration by parts (95-S3-Q2)

Question: 3 Differential equation (95-S3-Q3)

Question: 4 Analysis (95-S3-Q4)

Question: 5 Taylor series (95-S3-Q5)

Question: 6 Complex Numbers (95-S3-Q6)

Question: 7 Groups (95-S3-Q7)

Question: 8 Vector geometry (95-S3-Q8)

Question: 9 Circular Motion (95-S3-Q9)

Question: 10 Projectile motion (95-S3-Q10)

Question: 11 Time-distance (95-S3-Q11)

Question: 12 Probability density function (95-S3-Q12)

Question: 13 Coding and Cryptography (95-S3-Q13)

Question: 14 Moment generating function (95-S3-Q14)

1994

Step: 1

Question: 1 Volume and Surface area (94-S1-Q1)

Question: 2 Differentiation (94-S1-Q2)

Question: 3 Binomial coefficient (94-S1-Q3)

Question: 4 Integration (94-S1-Q4)

Question: 5 Sketching (94-S1-Q5)

Question: 6 Complex Numbers (94-S1-Q6)

Question: 7 Proof by Induction (94-S1-Q7)

Question: 8 Integration by substitution (94-S1-Q8)

Question: 9 Projectile motion (94-S1-Q9)

Question: 10 Circular Motion (94-S1-Q10)

Question: 11 Pulley (94-S1-Q11)

Question: 12 Elementary probability (94-S1-Q12)

Question: 13 Indicator function (94-S1-Q13)

Question: 14 Poisson distribution (94-S1-Q14)

Step: 2

Question: 1 Number theory (94-S2-Q1)

Question: 2 Integration by parts (94-S2-Q2)

Question: 3 Functions (94-S2-Q3)

Question: 4 Integration (94-S2-Q4)

Question: 5 Roots of equations (94-S2-Q5)

Question: 6 Proof by Induction (94-S2-Q6)

Question: 7 Coordinate geometry (94-S2-Q7)

Question: 8 Financial mathematics (94-S2-Q8)

Question: 9 Equilibrium (94-S2-Q9)

Question: 10 Collision (94-S2-Q10)

Question: 11 Projectile motion (94-S2-Q11)

Question: 12 Elementary probability (94-S2-Q12)

Question: 13 Exponential distribution (94-S2-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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STEP Support Programme

1995

Step: 2

Step: 3

1994

Step: 1

Step: 2

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