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STEP Support Programme

STEP Questions Database

1991

Step: 3

Question: 8 Sum (91-S3-Q8)
Question: 9 Conic sections (91-S3-Q9)
Question: 10 Roots of polynomials (91-S3-Q10)
Question: 11 Friction (91-S3-Q11)
Question: 12 Projectile motion (91-S3-Q12)
Question: 13 Collision (91-S3-Q13)
Question: 14 Hooke's Law (91-S3-Q14)
Question: 15 Combinatorics (91-S3-Q15)
Question: 16 Discrete random variable (91-S3-Q16)

1990

Step: 1

Question: 1 Euclidean geometry (90-S1-Q1)
Question: 2 Binomial coefficient (90-S1-Q2)
Question: 3 Curves (90-S1-Q3)
Question: 4 Progressions (90-S1-Q4)
Question: 5 Integral (90-S1-Q5)
Question: 6 Vector geometry (90-S1-Q6)
Question: 7 Differential equations (90-S1-Q7)
Question: 8 Infinite product (90-S1-Q8)
Question: 9 Coordinate geometry (90-S1-Q9)
Question: 10 Time-distance (90-S1-Q10)
Question: 11 Projectile motion (90-S1-Q11)
Question: 12 Hooke's Law (90-S1-Q12)
Question: 13 Friction (90-S1-Q13)
Question: 14 Expectation (90-S1-Q14)
Question: 15 Coin toss (90-S1-Q15)
Question: 16 Pdf (90-S1-Q16)

Step: 2

Question: 1 Polynomial equation (90-S2-Q1)
Question: 2 Trigonometry (90-S2-Q2)
Question: 3 Curve sketching (90-S2-Q3)
Question: 4 Elementary geometry (90-S2-Q4)
Question: 5 Complex Numbers (90-S2-Q5)
Question: 6 Inequality (90-S2-Q6)
Question: 7 Differential equations (90-S2-Q7)
Question: 8 Integration by parts (90-S2-Q8)
Question: 9 Polar coordinates (90-S2-Q9)
Question: 10 Matrices (90-S2-Q10)
Question: 11 Circular Motion (90-S2-Q11)
Question: 12 Collision (90-S2-Q12)
Question: 13 Equilibrium (90-S2-Q13)
Question: 14 Collision (90-S2-Q14)
Question: 15 Pdf (90-S2-Q15)
Question: 16 Tree diagram (90-S2-Q16)

Step: 3

Question: 1 Complex Numbers (90-S3-Q1)
Question: 2 Coordinate geometry (90-S3-Q2)
Question: 3 Groups (90-S3-Q3)
Question: 4 Trigonometry (90-S3-Q4)
Question: 5 Proof by Induction (90-S3-Q5)
Question: 6 Transformation (90-S3-Q6)
Question: 7 Curve sketching (90-S3-Q7)
Question: 8 Differential equation (90-S3-Q8)
Question: 9 Polar coordinates (90-S3-Q9)

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)