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STEP Support Programme

STEP Questions Database


Step: 3

Question: 16 Uniform distribution (87-S3-Q16)


Step: 1

Question: 1 Inequalities (Spec-S1-Q1)
Question: 2 Euclidean geometry (Spec-S1-Q2)
Question: 3 Differential equation (Spec-S1-Q3)
Question: 4 Integration by substitution (Spec-S1-Q4)
Question: 5 Numbers (Spec-S1-Q5)
Question: 6 Euclidean geometry (Spec-S1-Q6)
Question: 7 Complex Numbers (Spec-S1-Q7)
Question: 8 Coordinate geometry (Spec-S1-Q8)
Question: 9 Inequality (Spec-S1-Q9)
Question: 10 Work (Spec-S1-Q10)
Question: 11 Friction (Spec-S1-Q11)
Question: 12 Collision (Spec-S1-Q12)
Question: 13 Circular Motion (Spec-S1-Q13)
Question: 14 Discrete random variable (Spec-S1-Q14)
Question: 15 Discrete random variable (Spec-S1-Q15)
Question: 16 Probability density function (Spec-S1-Q16)

Step: 2

Question: 1 Rational Functions (Spec-S2-Q1)
Question: 2 Simultaneous equations (Spec-S2-Q2)
Question: 3 Complex Numbers (Spec-S2-Q3)
Question: 4 Curve sketching (Spec-S2-Q4)
Question: 5 Analysis (Spec-S2-Q5)
Question: 6 Functional equation (Spec-S2-Q6)
Question: 7 Integral (Spec-S2-Q7)
Question: 8 Groups (Spec-S2-Q8)
Question: 9 Vector geometry (Spec-S2-Q9)
Question: 10 Logic (Spec-S2-Q10)
Question: 11 Projectile motion (Spec-S2-Q11)
Question: 12 Circular Motion (Spec-S2-Q12)
Question: 13 Moment of inertia (Spec-S2-Q13)
Question: 14 Circular Motion (Spec-S2-Q14)
Question: 15 Mean and variances (Spec-S2-Q15)
Question: 16 Tree diagram (Spec-S2-Q16)

Step: 3

Question: 1 Proof by Induction (Spec-S3-Q1)
Question: 2 Proof (Spec-S3-Q2)
Question: 3 Complex Numbers (Spec-S3-Q3)
Question: 4 Conic sections (Spec-S3-Q4)
Question: 5 Trigonometry (Spec-S3-Q5)
Question: 6 Integration by parts (Spec-S3-Q6)
Question: 7 Differential equation (Spec-S3-Q7)
Question: 8 Vectors (Spec-S3-Q8)
Question: 9 Groups (Spec-S3-Q9)
Question: 10 Number theory (Spec-S3-Q10)
Question: 11 Differential equation (Spec-S3-Q11)
Question: 12 Equilibrium (Spec-S3-Q12)
Question: 13 Circular Motion (Spec-S3-Q13)
Question: 14 Collision (Spec-S3-Q14)
Question: 15 Optimisation (Spec-S3-Q15)
Question: 16 Combinatorics (Spec-S3-Q16)

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)

Admissions Testing Service: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)