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STEP Support Programme

STEP Questions Database


Step: 3

Question: 14 Projectile motion (88-S3-Q14)
Question: 15 Difference equation (88-S3-Q15)
Question: 16 Combinatorics (88-S3-Q16)


Step: 1

Question: 1 Curve sketching (87-S1-Q1)
Question: 2 Integration (87-S1-Q2)
Question: 3 Differential equation (87-S1-Q3)
Question: 4 Series (87-S1-Q4)
Question: 5 Integration by substitution (87-S1-Q5)
Question: 6 Integration (87-S1-Q6)
Question: 7 Trigonometry (87-S1-Q7)
Question: 8 Integral (87-S1-Q8)
Question: 9 Vectors (87-S1-Q9)
Question: 10 Hooke's Law (87-S1-Q10)
Question: 11 Energy (87-S1-Q11)
Question: 12 Collision (87-S1-Q12)
Question: 13 Forces (87-S1-Q13)
Question: 14 Probability (87-S1-Q14)
Question: 15 Uniform distribution (87-S1-Q15)
Question: 16 Normal distribution (87-S1-Q16)

Step: 2

Question: 1 Quadratics (87-S2-Q1)
Question: 2 Trigonometry (87-S2-Q2)
Question: 3 Surds (87-S2-Q3)
Question: 4 Complex Numbers (87-S2-Q4)
Question: 5 Functions (87-S2-Q5)
Question: 6 Integral (87-S2-Q6)
Question: 7 Integration (87-S2-Q7)
Question: 8 Vectors (87-S2-Q8)
Question: 9 Matrices (87-S2-Q9)
Question: 10 Groups (87-S2-Q10)
Question: 11 Friction (87-S2-Q11)
Question: 12 Equilibrium (87-S2-Q12)
Question: 13 Collision (87-S2-Q13)
Question: 14 Hooke's Law (87-S2-Q14)
Question: 15 Uniform distribution (87-S2-Q15)
Question: 16 Tree diagram (87-S2-Q16)

Step: 3

Question: 1 Numbers (87-S3-Q1)
Question: 2 Integration by parts (87-S3-Q2)
Question: 3 Complex Numbers (87-S3-Q3)
Question: 4 Functions (87-S3-Q4)
Question: 5 Modulo arithmetic (87-S3-Q5)
Question: 6 Differential equations (87-S3-Q6)
Question: 7 Analysis (87-S3-Q7)
Question: 8 Inequalities (87-S3-Q8)
Question: 9 Groups (87-S3-Q9)
Question: 10 Induction (87-S3-Q10)
Question: 11 Time-distance graphs (87-S3-Q11)
Question: 12 Variable mass (87-S3-Q12)
Question: 13 Friction (87-S3-Q13)
Question: 14 Gravitational force (87-S3-Q14)
Question: 15 Optimisation (87-S3-Q15)

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)