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STEP Support Programme

STEP Questions Database

1994

Step: 2

Question: 14 Geometrical probability (94-S2-Q14)

Step: 3

Question: 1 Integration by parts (94-S3-Q1)
Question: 2 Polynomial equations (94-S3-Q2)
Question: 3 Euclidean geometry (94-S3-Q3)
Question: 4 Differential equations (94-S3-Q4)
Question: 5 Taylor series (94-S3-Q5)
Question: 6 Complex Numbers (94-S3-Q6)
Question: 7 Groups (94-S3-Q7)
Question: 8 Matrices (94-S3-Q8)
Question: 9 Collision (94-S3-Q9)
Question: 10 Time-distance (94-S3-Q10)
Question: 11 Equilibrium (94-S3-Q11)
Question: 12 Elementary probability (94-S3-Q12)
Question: 13 Continuous random variable (94-S3-Q13)
Question: 14 Geometrical probability (94-S3-Q14)

1993

Step: 1

Question: 1 Combinatorics (93-S1-Q1)
Question: 2 Geometric progression (93-S1-Q2)
Question: 3 Solution of equation (93-S1-Q3)
Question: 4 Integration by substitution (93-S1-Q4)
Question: 5 Complex Numbers (93-S1-Q5)
Question: 6 Curve sketching (93-S1-Q6)
Question: 7 Cubic equation (93-S1-Q7)
Question: 8 3-D geometry (93-S1-Q8)
Question: 9 Differential equation (93-S1-Q9)
Question: 10 Springs and strings (93-S1-Q10)
Question: 11 Equilibrium (93-S1-Q11)
Question: 12 Projectile motion (93-S1-Q12)
Question: 13 Work and power (93-S1-Q13)
Question: 14 Continuous random variable (93-S1-Q14)
Question: 15 Elementary probability (93-S1-Q15)
Question: 16 Geometrical probability (93-S1-Q16)

Step: 2

Question: 1 Colonel Blotto (93-S2-Q1)
Question: 2 Integrals (93-S2-Q2)
Question: 3 Differential equation (93-S2-Q3)
Question: 4 Vector geometry (93-S2-Q4)
Question: 5 Polar coordinates (93-S2-Q5)
Question: 6 Matrices (93-S2-Q6)
Question: 7 Modulo arithmetic (93-S2-Q7)
Question: 8 Inequalities (93-S2-Q8)
Question: 9 Complex number (93-S2-Q9)
Question: 10 Matrices (93-S2-Q10)
Question: 11 Fluid dynamics (93-S2-Q11)
Question: 12 Friction (93-S2-Q12)
Question: 13 SHM (93-S2-Q13)
Question: 14 Energy (93-S2-Q14)
Question: 15 Uniform distribution (93-S2-Q15)
Question: 16 Poisson process (93-S2-Q16)

Step: 3

Question: 1 Parametric equations (93-S3-Q1)
Question: 2 Implicit equation (93-S3-Q2)
Question: 3 Matrices (93-S3-Q3)

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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