STEP Preview

Links to Examples are in blue 

 

(A) General 

 

About the STEP paper (9 pages; 17/7/25)

 

STEP - Preparation (6 pages; 15/7/25)

 

STEP - Methods (7 pages; 21/5/26) 

 

  Exs (2 pages; 1/6/26); Sol'ns (24 pages; 1/6/26)

 

STEP - Exam Technique (11 pages; 21/5/26) 

 

Index of q'ns: Pure (47 pages; 29/8/25)

 

Index of q'ns: Mechanics (18 pages; 29/8/25)

 

Index of q'ns: Probability & Statistics (15 pages; 29/8/25)

 

Reference (9 pages; 27/7/25)

 

Basic Ideas & Exs (24 pages; 1/7/26)

 

 

 

(B1) Recommended Q'ns - Pure

 

(in no particular order within each group)

 

1st Group

2005/P1/Q1** (counting)

2011/P2/Q1** (curve sketching)

2010/P2/Q4** (integration)

2018/P1/Q2** (logarithms)

2006/P1/Q3* (quadratic; cubic) 

1989/P3/Q9** (Series)

2009/P3/Q6* (Complex numbers)

2014/P3/Q7* (vectors; cyclic quadrilateral)

2023/P2/Q1** (integration; substitution)

2007/P2/Q2* (cubic)

 

 

2nd Group

 

1987/P1/Q4** (logarithms)

 

2008/P1/Q6* (curve sketching)

 

2008/P2/Q7* (DEs)

 

2006/P1/Q1* (integers; perfect squares)

 

2005/P2/Q6* (Binomial)

 

Specimen/P2/Q9* (vectors)

 

2014/P1/Q2* (curve sketching; ln)

 

2007/P2/Q6* (DEs)

 

2020/P2/Q1* (integration)

 

2010/P1/Q5* (Binomial)

 

 

3rd Group

 

Specimen/P2/Q4* (hyperbolic fns; curve sketching)

 

2013/P3/Q2* (Maclaurin)

 

2005/P2/Q4 (arctan)

 

2007/P1/Q7* (vectors)

 

2007/P2/Q1* (Binomial)

 

2017/P1/Q1* (integration; substitution)

 

2019/P2/Q7* (vectors)

 

2024/P3/Q7* (Series; irrationality of e)

 

 

(B2) Recommended Q'ns - Mechanics

 

(in no particular order within each group)

 

1st Group

 

2016/P2/Q9* (collisions)

 

2018/P1/Q10* (forces; train)

 

2005/P2/Q11* (forces) 

 

2005/P2/Q10* (projectiles - missiles)

 

2009/P2/Q10* (collisions)

 

2016/P1/Q9* (friction)

 

2017/P3/Q9* (Hooke's law)

 

Specimen/P2/Q11* (projectiles)

 

2011/P2/Q9* (collisions)

 

2015/P2/Q10* (forces)

 

 

2nd Group

 

2023/P2/Q9** (forces)

 

2008/P2/Q10* (collisions)

 

2014/P1/Q11* (forces)

 

2014/P3/Q10* (Hooke's law)

 

2012/P1/Q9* (projectiles - shot putter)

 

2015/P1/Q10* (kinematics; bus in rain)

 

2021/P2/Q10  (kinematics; constrained motion)

 

2006/P1/Q10* (projectiles - barn)

 

2016/P3/Q11* (power)

 

 

(B3) Recommended Q'ns - Prob. & Stats

 

(in no particular order within each group)

 

1st Group

 

2009/P1/Q13** (Probability)

 

2015/P2/Q12* (Probability)

 

2015/P1/Q12* (Poisson)

 

2015/P3/Q13* (Distributions/RVs)

 

2015/P1/Q13* (Probability)

 

2004/P1/Q14** (Probability; counting)

 

2017/P2/Q12* (Poisson)

 

2010/P2/Q12* (Distributions/RVs)   

 

Specimen/P2/Q16** (Probability)

 

2013/P1/Q13* (Counting)

 

 

2nd Group

 

1987/P2/Q16* (Cond. prob; Bayesian estimate - fridge)

 

2006/P1/Q13* (Poisson)

 

2005/P1/Q14* (Distributions/RVs) 

 

2023/P3/Q12** (Combinatorics)

 

2021/P2/Q12** (Probability)

 

2024/P2/Q12* (Probability; Counting)

 

2019/P3/Q11* (Poisson)

 

2009/P1/Q9* (Projectiles)

 

2000/P1/Q12* (Probability - keys)

 

2016/P2/Q13* (Normal approximation to Binomial & Poisson)

 

 

(C)Themes

 

Using an earlier part of the question

 

Suggested questions:

 

2010/P2/Q4** (integration)

 

2005/P1/Q1** (counting)

 

2023/P3/Q5** (prime numbers)

 

2008/P2/Q7* (DEs)

 

2005/P2/Q4 (arctan)

 

2019/P2/Q3* (polynomials; integer roots)

 

2023/P2/Q4* (polynomials; integer coeffs)

 

2023/P2/Q6* (matrices)

 

2008/P1/Q1 (irrational numbers)

 

2011/P2/Q1** (curve sketching)

 

2017/P1/Q1* (integration; substitution) 

 

2021/P3/Q3* (integration; recurrence relation)

 

2022/P2/Q10* (projectiles)

 

2023/P3/Q7* (integration)

 

2005/P2/Q6* (Binomial)

 

2025/P2/Q5* (integration; substitution) 

 

 

Algebra

 

Algebra: Introduction (3 pages; 28/5/20)

 

Algebra: Ideas & Exs (19 pages; 22/7/25)

 

Algebra: Further Exs (1 page; 9/3/26); Sol'ns (10 pages; 9/3/26)

 

  Suggested questions:

 

  2005/P2/Q4 (arctan)

 

  2003/P2/Q1 (equations)

 

 

Proof   

   Necessary & Sufficient Conditions - Ideas & Exs (13 pages; 24/1/26)

 

   Proof - Exs (12 pages; 3/7/25)

 

   Proof - Further Exs (11 pages; 18/5/25)

   

   Induction (2 pages; 2/7/25)

 

   Suggested questions:

 

   2001/P1/Q2* (necessary & sufficient conditions)

 

   2006/P1/Q3* (proof; quadratic)

 

   2024/P3/Q8* ('if and only if'; sol'ns of quartic)

 

   2008/P1/Q1 (proof; irrational numbers)

 

   2007/P2/Q4* (proof)

 

   2001/P2/Q11* (proof; inequalities [2nd part of q'n])

 

  2024/P2/Q8* (proof; convergence of sequence)

 

  2024/P2/Q9 (projectile; necessary & sufficient conditions)

 

 

(D) Pure Topics

 

 

Complex Numbers

 

   Complex Numbers: Ideas & Exs (20 pages; 14/6/26)

 

   Complex Number Methods (9 pages; 28/2/15) 

 

   Complex Numbers - Further Exs (FM) (10 pages; 22/3/25) 

 

   Suggested questions:

 

   2009/P3/Q6* (Complex numbers)

 

   2013/P3/Q6* (Complex numbers)

 

   2011/P3/Q8* (Complex numbers)

 

   2012/P3/Q6* (Complex numbers)

 

   2013/P3/Q8* (Complex numbers)

 

   2023/P2/Q7  (Complex numbers)

 

 

Conics

 

 Conics (FM)(4 pages; 17/8/19)

 

 Parabolas (FM) (10 pages; 16/7/19)

 

 Parabolas Exs (FM) (13 pages; 21/3/25)

 

 Ellipses (FM) (7 pages; 18/8/19)

 

 Ellipses Exs (FM) (6 pages; 21/3/25)

 

 Hyperbolas (FM) (13 pages; 11/9/19)

 

 Hyperbolas Exs (FM) (14 pages; 21/3/25)

 

 Suggested question:

 

 2013/P3/Q8* (parabola) 

 

 

Counting

 

  Combinatorics - Ideas & Exs (17 pages; 12/4/26)

 

  Counting - Ideas & Exs (9 pages; 12/4/26)

 

  Counting - Further Exs (18 pages; 12/4/26)

 

  Suggested questions

 

  2005/P1/Q1** (counting)

 

  Specimen/P1/Q5* (counting)

 

 

Cubics

 

   Cubics (5 pages; 5/6/23)

 

   Cubics Exs [3 pages, 29/7/16] Sol'ns (10 pages, 29/7/16) 

 

   Suggested questions:

 

   2006/P1/Q3* (quadratics & cubics)

 

   2007/P2/Q2* (cubic)

 

   2018/P1/Q7* (cubic)

 

   2008/P2/Q3* (cubic)

 

   2007/P1/Q4*  (cubic)

 

 

Curve Sketching  (see also Functions & Differentiation)

 

   Curve Sketching: Ideas & Exs (20 pages; 25/3/25)

 

   Functions & Curve Sketching (5 pages; 22/11/24)

 

   Mappings & functions (FM) (3 pages; 2/6/23) 

 

   Curve Sketching - Further Exs (23 pages; 23/7/25)

 

   Curve Sketching (Transformations) - Exs (17 pages; 25/3/25)

 

   Suggested questions:

 

   2011/P2/Q1** (curve sketching)

 

   2008/P1/Q6* (curve sketching)

 

   2010/P1/Q2* (curve sketching)

 

   2013/P2/Q1* (curve sketching)

 

   2014/P1/Q2* (curve sketching; ln)   

 

   2003/P2/Q6* (curve sketching; modulus function)

 

   

Differential Eq'ns

 

   2nd order DEs - Ideas & Exs (FM) (17 pages; 4/3/25)

 

   Differential Equations - Ideas & Exs (10 pages; 12/4/24)   

 

   Differential Equations - Further Exs (12 pages; 4/3/25)   

 

   Suggested questions:

 

   2024/P3/Q6** (systems of DEs) 

 

   2008/P2/Q7* (DEs)

 

   Specimen/P3/Q7* (DEs)

 

   2007/P2/Q6* (DEs)

 

   2013/P3/Q7 (DEs)

 

 

Differentiation

 

   Turning points & Points of inflexion (FM) (7 pages; 5/6/23)

 

   Differentiation: Ideas & Exs (15 pages; 7/7/26)

 

   Differentiation: Further Exs (6 pages; 3/7/25)

 

   Suggested questions:

 

   Specimen/P1/Q2* (differentiation)

 

   2014/P1/Q4* (differentiation)

 

 

Functions

 

   Modulus Function (FM) (2 pages; 2/6/23)

 

   Convex & Concave functions (FM) (2 pages; 2/6/23)

 

   Inverse functions (FM) (3 pages; 2/6/23)

 

   Rational Functions (FM) (5 pages; 12/7/24)

 

   y^2=f(x) (FM) (2 pages; 2/6/23)

 

  Suggested questions:

 

   2008/P1/Q6* (inverse function)

 

   2003/P2/Q6* (modulus function) 

 

 

Geometry

 

   Shortest distance from Origin to line (EM)(9 pages; 5/6/26)

 

   Geometry Exs (FM)(12 pages; 6/3/25)

 

   Geometry Exs (STEP)(5 pages; 6/3/25)

 

   Suggested questions:

 

   2006/P1/Q2* (geometry; goat problem)

 

   2023/P2/Q8* (isosceles tetrahedron)

 

   2013/P3/Q8* (geometry)

 

 

Hyperbolic Functions 

 

   Hyperbolic Functions [FM] (10 pages; 26/7/16)   

 

   Hyperbolic Functions Exs [FM] (43 pages; 11/3/25)

 

   Suggested questions:

 

   Specimen/P2/Q4* (hyperbolic fns; curve sketching)

 

   2020/P3/Q2* (curve sketching; hyperbolic functions)

 

 

Inequalities

 

   Inequalities - Notes (3 pages; 29/12/24)

 

   Inequalities: Ideas & Exs (24 pages; 3/7/25) 

 

   Inequalities: Further Exs (23 pages; 22/4/25) 

 

   Suggested questions: 

 

   2001/P1/Q2* (inequalities; necessary & sufficient conditions)

 

   2020/P2/Q4* (inequalities; triangles)

 

   1987/P3/Q3*(i) (inequalities)

 

   2001/P2/Q11* (inequalities proof - 2nd part of q'n)

 

   2008/P2/Q5* (inequalities - 2nd part of q'n)

 

   

Integers

 

   Integers - Ideas & Exs (19 pages; 3/7/25)

 

   Prime Numbers - Ideas & Exs (11 pages; 10/4/26)

 

   Suggested questions:

 

   2023/P3/Q5** (prime numbers)

 

   2020/P2/Q5** (divisibility)

 

   2024/P2/Q5* (integers)   

 

   2006/P1/Q1* (integers; perfect squares)

 

   2018/P2/Q6 (primes)

 

 

Integration

 

   Integration - Ideas & Exs (29 pages; 13/7/26)

 

   Integration Methods (FM) (11 pages; 15/6/24)

 

   Further Integration Methods (STEP) (8 pages; 20/6/24) 

 

   Integration Exs (FM: P2) (3 pages; 4/7/26); Sol'ns (27 pages; 4/7/26)

 

   Integration Exs - Hyp Fns (FM: P3) (2 pages; 7/7/26);

 

   Sol'ns (14 pages; 7/7/26)  

 

   Suggested questions:

 

   2010/P2/Q4** (integration)

 

   2020/P2/Q1*  (integration)

 

   2017/P1/Q1* (integration; substitution) 

 

   Specimen/P1/Q4* (integration; substitution) 

 

   2023/P2/Q1** (integration; substitution)

 

   2019/P1/Q3* (integration)

 

   2011/P1/Q2* (integration)   

 

   2016/P2/Q7* (integration)

 

   2014/P3/Q2* (integration)

 

   1987/P1/Q5* (integration; substitution)

 

   2007/P1/Q3* (integration)

 

   2007/P2/Q3* (integration; substitution)

 

   2008/P2/Q5* (integration)

 

   2024/P2/Q8* (integration: limits)

 

   2025/P2/Q5* (integration; substitution) 

 

   Further questions:

 

   2012/P1/Q5* (integration)

 

   2014/P2/Q4* (integration)

 

   2019/P3/Q5* (integration)

 

   1987/P1/Q8* (integration; substitution)

 

   1987/P2/Q6** (integration; trigonometry)   

 

   2005/P1/Q5* (integration)

 

   2006/P2/Q4* (integration; substitution)

 

   2007/P3/Q7* (integration)

 

   2008/P1/Q6* (integration)

 

   2011/P2/Q6* (integration)

 

   2012/P2/Q3* (integration)

 

   2019/P2/Q2* (integration)

 

   2021/P3/Q3* (integration; recurrence relation)

 

   2022/P3/Q5* (integration; hyperbolic fns)

 

 

Logarithms

 

   Logarithms - Ideas & Exs (11 pages; 14/12/24)

 

   Logarithms - Further Exs (11 pages; 16/12/24)  

 

   Suggested questions:

 

   2018/P1/Q2** (logarithms)

 

   1987/P1/Q4** (logarithms)

 

   2013/P2/Q1*  (logarithms)

 

 

Matrices (See FM Pure for theory & exercises)

 

   Matrices - Ideas & Exs (20 pages; 14/7/24)

 

   Suggested questions:

 

   2023/P2/Q6* (matrices)

 

   2019/P3/Q3* (matrices; invariant points & lines)

 

   2021/P2/Q7* (matrices; rotations)

 

 

Polar Curves

 

  Polar Curves (FM)(30 pages; 25/2/25)

 

  Polar Lines (14 pages; 10/4/25)

 

 Suggested questions:

 

  1989/P3/Q6** (polar curves; conics; lines)

 

 

Polynomials (see also Quadratics & Cubics)

 

   Polynomials - Ideas & Exs (7 pages; 13/3/25)

 

   Polynomials - Exs (STEP) (18 pages; 5/4/25) 

 

   Suggested questions:    

 

   2002/P1/Q5* (polynomials; integer roots)

 

   2023/P2/Q4* (polynomials; integer coeffs)

 

   2019/P2/Q3* (polynomials; integer roots)

 

   2007/P2/Q2* (polynomials)

 

   2019/P2/Q1* (polynomials)

 

 

 Quadratics

 

   Suggested question:

 

   2006/P1/Q3* (quadratic; cubic) 

 

 

Sequences & Series

 

   Sequences & Series: Ideas & Exs (5 pages; 10/4/26)

 

   Sequences & Series - Further Exs (10 pages; 27/3/26)

 

   Maclaurin Series (FM) (7 pages; 23/7/21)

 

   Maclaurin Series Exs (FM) (12 pages; 13/3/25)

 

   Recurrence relations (FM)(16 pages; 29/4/25)

 

   Recurrence relations - Ideas & Exs (6 pages; 29/4/25)

 

   Suggested questions:

 

   1989/P3/Q9** (Series)

 

   2010/P1/Q5* (Binomial)

 

   2005/P2/Q6* (Binomial)

 

   2024/P2/Q8* (convergence)

 

   2013/P3/Q2* (Maclaurin)

 

   2007/P2/Q1* (Binomial)

 

   2024/P3/Q7* (Series; irrationality of e)

 

   2022/P2/Q2 (Recurrence relations)

 

   Further questions:

 

   2024/P3/Q1 (partial fractions)

 

 

Transformations

 

   Transformations of Functions - Ideas & Exs (10 pages; 25/2/25) 

 

   Transformations of Functions - Further Exs (10 pages; 28/12/24)

 

 

Trigonometry

 

   Trigonometry - Ideas & Exs (10 pages; 11/4/25)

 

   Trigonometry - Important Ideas (5 pages; 15/4/21)

 

   Trigonometry - Further Exs (28 pages; 11/4/25)

 

   Suggested questions:

 

   2005/P2/Q4 (arctan)

 

   2007/P3/Q1 (trigonometry)

 

 

Vectors

 

   Ideas & Exs (17 pages; 14/6/26)

 

   Further Exs  (21 pages; 18/1/25)  

 

   Suggested questions:

 

  Specimen/P2/Q9* (vectors)

 

  2019/P2/Q7* (vectors)

 

  2007/P1/Q7* (vectors)  

 

  2014/P3/Q7*  (vectors; cyclic quadrilateral)

 

  2024/P2/Q4* (bisecting vector)

 

  2023/P2/Q8** (isosceles tetrahedron)  

 

  2022/P3/Q7**  (vector triple product)

 

 

Miscellaneous

 

   Suggested questions:

 

   2023/P2/Q3 (Irrational numbers; proof by induction)

 

   2024/P3/Q11 (Binomial coefficients)

 

 

(E) Mechanics Topics

 

Mechanics - Ideas & Exs (20 pages; 15/4/25)

 

Mechanics Notes (4 pages; 20/7/23) 

 

 

Centre of Mass

 

Suggested question:

 

2010/P1/Q9* (centre of mass)

 

 

Circular Motion

 

Circular Motion - Constant Speed (FM) (9 pages; 25/10/20)

 

Circular Motion - Variable Speed (FM) (13 pages; 30/9/15)

 

Suggested questions:

 

2018/P3/Q11* (circular motion, projectiles)  

 

2020/P2/Q10* (circular motion/energy)

 

 

Collisions

 

Collisions - Important Ideas (FM) (4 pages; 22/4/21)

 

Collisions - reversal of direction (FM) (6 pages; 24/6/20) 

 

Oblique impacts (FM) (4 pages; 23/8/18)

 

Impulses & connected particles (FM) (13 pages; 28/8/18) 

 

Collisions - Exs (25 pages; 16/4/25)

 

Suggested questions:

 

2006/P2/Q10* (collisions)

 

2016/P2/Q9* (collisions)

 

2008/P2/Q10* (collisions)

 

2009/P2/Q10* (collisions)

 

2011/P1/Q10* (collisions)

 

2011/P2/Q9* (collisions)

 

Further questions:

 

2013/P1/Q10* (collisions)

 

2015/P2/Q11* (collisions)

 

2021/P3/Q9* (collisions)

 

2022/P3/Q9* (collisions)

 

 

Differential Eq'ns

 

Suggested questions:

 

2007/P3/Q9** (oscillations; spring on hoop)

 

2013/P3/Q9* (differential eq'ns)

 

2020/P3/Q10* (oscillations) 

 

 

 

Forces / Equilibrium / Friction 

 

Friction(FM)(5 pages; 1/6/24)

 

Forces - Exs (FM) (33 pages; 25/3/25)

 

Forces - Exs (STEP) (16 pages; 25/3/25)

 

Suggested questions - 'basic':

 

2023/P3/Q10** (equilibrium; algebra)

 

2014/P1/Q11* (forces)

 

2018/P1/Q10* (forces; train)

 

2016/P1/Q9* (friction)

 

2015/P2/Q10* (forces)

 

2005/P2/Q11* (forces) 

 

2023/P2/Q9** (forces)

 

2024/P3/Q10* (slipping & toppling)

 

Suggested questions - more advanced:

 

2021/P2/Q10** (constrained motion)

 

2021/P3/Q10** (constrained motion)  

 

Further questions:

 

2014/P2/Q11* (forces)

 

2020/P3/Q9* (equilibrium, friction)

 

2021/P2/Q9* (equilibrium)

 

2022/P2/Q9* (equilibrium)

 

 

Hooke's Law

 

Hooke's Law: Ideas & Exs (FM)(15 pages; 5/2/25)

 

Hooke's Law: Further Exs (FM) (10 pages; 5/2/25)

 

Suggested questions:

 

2014/P3/Q10* (Hooke's law)

 

2015/P3/Q9* (Hooke's law)

 

2017/P3/Q9* (Hooke's law)

 

 

Kinematics

 

Suggested questions:

 

2015/P1/Q10* (kinematics; bus in rain)

 

2019/P3/Q9* (kinematics)

 

2021/P2/Q10 (kinematics; constrained motion)

 

   

Projectiles

 

Suggested questions:

 

2005/P2/Q10* (projectiles - missiles)

 

2012/P1/Q9*  (projectiles - shot putter)

 

Specimen/P2/Q11* (projectiles)

 

2006/P1/Q10* (projectiles - barn)

 

2009/P1/Q9* (projectiles)

 

2011/P1/Q9* (projectiles)

 

Further questions:

 

2018/P3/Q11* (circular motion, projectiles)  

 

2020/P2/Q9* (projectiles)

 

2022/P2/Q10* (projectiles)

 

 

Vectors

 

Suggested question:

 

2019/P3/Q9* (hemisphere)

 

  

Work, Energy & Power

 

Suggested questions:

 

1990/P1/Q10* (power)

 

Specimen/P1/Q10* (power)

 

2016/P3/Q11* (power)

 

2020/P2/Q10* (circular motion/energy)

 

 

 

(F) Probability & Statistics Topics

 

  Probability 

 

  Probability Methods: Ideas & Exs (25 pages; 11/4/26)

 

  Probability - Exs (12 pages; 21/4/25) 

 

  [See also Pure: Counting]

 

 

  Suggested questions - Probability(Counting):

 

  2004/P1/Q14** (Probability; Combinatorics; symmetry)

 

  2013/P1/Q13* (Counting)

 

  2012/P1/Q13* (Counting)

 

  2024/P2/Q12* (Probability; Counting)

 

  2023/P3/Q12** (Combinatorics)

 

  Specimen/P3/Q16** (Combinatorics)

 

 

  Suggested questions - Probability:

 

  2009/P1/Q13** (Probability)

 

  2021/P2/Q12** (Probability)

 

  2000/P1/Q12* (Probability - keys)

 

  2015/P2/Q12* (Probability)

 

  2015/P1/Q13* (Probability)

 

  2020/P2/Q11** (Probability) 

 

  Specimen/P2/Q16** (Probability)

 

  Specimen/P3/Q15** (Probability)

 

 

  Further questions - Probability:

 

  2005/P3/Q13* (Probability)

 

  2006/P1/Q14* (Probability)

 

  2013/P1/Q12* (Probability) 

 

  2017/P1/Q13* (Probability; recurrence relations)

 

  2019/P1/Q11* (Probability)  

 

  2019/P2/Q11* (Probability)

 

  2019/P3/Q12* (Probability)

 

  2020/P2/Q12* (Probability)

 

 

  Suggested questions - Conditional Probability:

 

  1987/P2/Q16* (Conditional prob; Bayesian estimate - fridge)  

 

  1987/P1/Q14** (Conditional probability)

 

  1987/P1/Q16** (Conditional probability)

   

 

Distributions / Random Variables

 

  Distributions (STEP): Ideas & Exs

 

  Discrete Distributions: Ideas & Exs (11 pages; 12/4/26)

 

  Geometric & Negative Binomial distributions (FM) (5 pages; 11/2/25)

 

  Continuous Distributions (STEP): Ideas & Exs (7 pages; 24/4/25)

 

 

  Suggested questions - Poisson:

 

  2023/P3/Q11* (Poisson)

 

  2015/P1/Q12* (Poisson)

 

  2017/P2/Q12* (Poisson)

 

  2006/P2/Q12* (Poisson)

 

  2006/P1/Q13* (Poisson)

 

  2019/P3/Q11* (Poisson)

 

  Further questions - Poisson:

 

  2012/P2/Q13* (Poisson)  

 

  Suggested questions - Distributions/RVs:

 

  2015/P3/Q13* (Distributions/RVs)

 

  2010/P2/Q12* (Distributions/RVs)   

 

  2005/P1/Q14* (Distributions/RVs)  

 

  2007/P3/Q12* (Distributions/RVs) 

 

  2012/P1/Q13* (Distributions/RVs) 

 

  2014/P2/Q12* (Distributions/RVs)

 

  2016/P2/Q13* (Normal approximation to Binomial & Poisson)

 

  2024/P3/Q12* (CDF)

 

  Further questions - Distributions/RVs:

 

  2021/P3/Q12** (Distributions/RVs;Variance)

 

  2023/P2/Q11* (conditional RVs)

 

  2023/P2/Q12* (Distributions/RVs)  

 

  2022/P3/Q11* (Distributions/RVs)

 

  2017/P3/Q13* (Distributions/RVs; Uniform)

 

  2013/P1/Q13* (Distributions/RVs)

 

  2006/P3/Q12* (Normal)   

 

   2008/P3/Q13* (Distributions/RVs)   

 

  2010/P3/Q12* (Distributions/RVs) 

 

 

(G) Past Papers & Official Sol'ns etc

 

Individual questions for 1986 (Specimen) to 2018 can also be found at https://stepdatabase.maths.org/database (you can search by keyword); or in the book "STEP Mathematics - All exams from 1986 to 2018" by T.K. Finchley (tkfinchley.com)(although the orders of the questions have been changed).

 

Unfortunately, official sol'ns or answers prior to 1998 are not readily available.

 

Specimen  Paper 1 Paper 2  Paper 3

 

1987  Paper 1 Paper 2  Paper 3

 

1988  Paper 1 Paper 2  Paper 3

 

1989  Paper 1 Paper 2  Paper 3

 

1990  Paper 1 Paper 2  Paper 3

 

1991  Paper 1 Paper 2  Paper 3

 

1992  Paper 1 Paper 2  Paper 3

 

1993  Paper 1 Paper 2  Paper 3

 

1994  Paper 1 Paper 2  Paper 3

 

1995  Paper 1 Paper 2  Paper 3

 

1996  Paper 1 Paper 2  Paper 3

 

1997  Paper 1 Paper 2  Paper 3

 

1998  Paper 1 Paper 2  Paper 3  Hints & Answers

 

1999  Paper 1 Paper 2  Paper 3  Hints & Answers

 

2000  Paper 1 Paper 2  Paper 3  Hints & Answers

 

2001  Paper 1  Paper 2  Paper 3  Hints & Answers

 

2002  Paper 1 Paper 2  Paper 3  Hints & Answers

 

2003  Paper 1  Paper 2  Paper 3 Hints & Answers

 

2004  Paper 1  Paper 2  Paper 3  Hints & Answers

 

2005  Paper 1  Paper 2  Paper 3  Hints & Answers

 

2006  Paper 1  Paper 2  Paper 3  Hints & Answers

 

2007  Paper 1  Paper 2  Paper 3  Sol'ns  Examiners' Report

 

2008  Paper 1  Paper 2  Paper 3  Sol'ns  Examiners' Report

 

2009  Paper 1  Paper 2  Paper 3  Sol'ns  Examiners' Report

 

2010  Paper 1  Paper 2  Paper 3  Sol'ns  Examiners' Report

 

2011  Paper 1  Paper 2  Paper 3  Sol'ns  Examiners' Report

 

2012  Paper 1  Paper 2  Paper 3  Sol'ns  Examiners' Report

 

2013  Paper 1 Paper 2  Paper 3  Sol'ns Examiners' Report

 

2014  Paper 1 Paper 2  Paper 3  Sol'ns Examiners' Report

 

2015  Paper 1 Paper 2  Paper 3  Sol'ns Mark Scheme Examiners' Report

 

2016  Paper 1 Paper 2  Paper 3  Sol'ns Mark Scheme Examiners' Report

 

2017  Paper 1 Paper 2  Paper 3  Mark Scheme 

 

2018  Paper 1 Paper 2  Paper 3  Sol'ns+MS+ER

 

2019  Paper 1 Paper 2  Paper 3  Sol'ns+MS+ER

 

2020  Paper 2 ER+Sol'ns Paper 3 ER+Sol'ns

 

2021  Paper 2 ER+Sol'ns Paper 3 ER+Sol'ns

 

2022  Paper 2 ER+Sol'ns Paper 3 ER+Sol'ns

 

2023  Paper 2 ER+Sol'ns Paper 3 ER+Sol'ns

 

2024  Paper 2 ER+Sol'ns Paper 3 ER+Sol'ns

 

 

(H) My solutions

 

Specimen (1986) Paper 1: 2 4 5 9 10

 

Specimen (1986) Paper 2: 3 4 7 9 10 11 14 16

 

Specimen (1986) Paper 3: 7 14 15 16

 

1987, Paper 1: 4 5 8 14 16

 

1987, Paper 2: 6 16

 

1987, Paper 3: 3

 

1989, Paper 3: 6 9

 

1990, Paper 1: 10

 

2000, Paper 1: 12

 

2001, Paper 1: 2

 

2001, Paper 2: 11

 

2002, Paper 1: 5

 

2003, Paper 2: 1 2 3 6 7 8 10

 

2003, Paper 3: 4

 

2004, Paper 1: 12 14

 

2005, Paper 1: 1  3  4  5  11  12  13  14

 

2005, Paper 2: 1  4  6  10  11

 

2005, Paper 3: 2  3  7 8 13

 

2006, Paper 1: 1  2  3  4  5  6  7  8  9  10  11  12  13  14

 

2006, Paper 2: 2  4  6  10 12   

 

2006, Paper 3: 2 3  4  10  11  12  13  

 

2007, Paper 1: 1  2  3  4  5  7  12  13

 

2007, Paper 2: 1  2  3  4  5 6

 

2007, Paper 3: 1  2  3  7 9 12

 

2008, Paper 1: 1  2  6  9  13  

 

2008, Paper 2: 1  3  4  5  6  7  10  

 

2008, Paper 3: 1  2  5  8  13  

 

2009, Paper 1: 1  2  9  12  13

 

2009, Paper 2: 5  8  10  11  13

 

2009, Paper 3: 1  4  6  7  8  11  

 

2010, Paper 1: 1  2  3  5  9  

 

2010, Paper 2: 4  5  7  12  13

 

2010, Paper 3: 2  3  8  9 12 

 

2011, Paper 1: 1  2  6  9  10

 

2011, Paper 2: 1  2  5  6  9  11  12

 

2011, Paper 3: 1  2  3  4  5  6  7  8  9  10  11  12  13

 

2012, Paper 1: 2  5  8  9  11  13

 

2012, Paper 2: 3  5  7  9  10  11  12  13

 

2012, Paper 3: 1  6  7  9  10  11  12  13

 

2013, Paper 1: 1 4 10 12 13

 

2013, Paper 2: 1 2 11 12 13

 

2013, Paper 3: 1 2 6 7 8 9

 

2014, Paper 1: 2 3 4 9 11

 

2014, Paper 2: 4 5 9 11 12

 

2014, Paper 3: 2 7 9 10 13

 

2015, Paper 1: 3 9 10 12 13

 

2015, Paper 2: 2 6 10 11 12

 

2015, Paper 3: 1 6 9 12 13

 

2016, Paper 1: 2 9 10 11 12 13

 

2016, Paper 2: 3 6 7 9 13

 

2016, Paper 3: 1 2 3 8 11

 

2017, Paper 1: 1 2 10 12 13

 

2017, Paper 2: 1 9 10 12 13

 

2017, Paper 3: 3 4 9 12 13

 

2018, Paper 1: 2 7 9 10 12 13

 

2018, Paper 2: 2 6 8 10 11 13

 

2018, Paper 3: 1 2 3 5 8 11

 

2019, Paper 1: 3 4 9 10 11

 

2019, Paper 2: 1 2 3 7 10 11

 

2019, Paper 3: 3 5 9 11 12

 

2020, Paper 2: 1 4 5 6 9 10 11 12

 

2020, Paper 3: 1 2 7 9 10 11 12

 

2021, Paper 2: 2 7 8 9 10 11 12

 

2021, Paper 3: 3 4 9 10 11 12

 

2022, Paper 2: 1 2 8 9 10 12

 

2022, Paper 3: 5 7 8 9 10 11

 

2023, Paper 2: 1 4 6 7 8 9 11 12

 

2023, Paper 3: 5 6 7 10 11 12

 

2024, Paper 2: 1 2 4 5 6 8 9 12

 

2024, Paper 3: 1 5 6 7 8 9 10 11 12

 

2025, Paper 2: 5 11

 

2025, Paper 3: 1