STEP Preview

Examples (up to Proof) are in blue

 

Key:

- recently added material is in green (where changes are significant)

- suggested questions: * = recommended; ** = strongly recommended

- FM = repeat of document on FM pages

 

General

Notes on STEP (3 pages; 2/12/24)

STEP - Preparation (3 pages; 25/6/25) 

STEP - Methods (12 pages; 9/1/25)

STEP - Exam Technique (10 pages; 9/1/25)

Index of q'ns: Pure (28 pages; 7/6/25)

Index of q'ns: Mechanics (11 pages; 7/6/25)

Index of q'ns: Probability & Statistics (8 pages; 7/6/25)

Possible topics to specialise in (12 pages; 14/12/24)

Important Ideas (6 pages; 12/7/24)

Introductory Ideas & Exs (24 pages; 11/4/25)

 

Themes

 

Using an earlier part of the question (3 pages; 20/6/25)

Suggested questions:

2023/P3/Q5** (q'n & sol'n) (prime numbers)

2019/P2/Q3* (q'n & sol'n) (polynomials; integer roots)

2023/P2/Q4* (q'n & sol'n) (polynomials; integer coeffs)

2023/P2/Q6* (q'n & sol'n) (matrices)

2008/P1/Q1 (q'n & sol'n) (irrational numbers)

2011/P2/Q1** (q'n & sol'n) (curve sketching)

2017/P1/Q1* (q'n & sol'n) (integration; substitution) 

2021/P3/Q3* (q'n & sol'n) (integration; recurrence relation)

2022/P2/Q10* (q'n & sol'n) (projectiles)

 

Algebra: Ideas & Exs (18 pages; 17/6/25)

Algebra: Further Exs (6 pages; 21/12/24)

 

 

Proof   

   Necessary & Sufficient Conditions - Ideas & Exs (12 pages; 24/12/24)

   Proof - Exs (8 pages; 21/5/25)

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

   Suggested questions:

   2006/P1/Q3* (q'n & sol'n)(proof; quadratic)

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

   2008/P1/Q1 (q'n & sol'n) (proof; irrational numbers)

   2007/P2/Q4* (q'n & sol'n) (proof)

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

 

 

Pure

Complex Numbers

   Complex Numbers: Ideas & Exs (17 pages; 1/5/25)

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

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

   Suggested questions:

   2009/P3/Q6* (q'n & sol'n)

   2013/P3/Q6* (q'n & sol'n)

   2011/P3/Q8* (q'n & sol'n)   

   2012/P3/Q6* (q'n & sol'n)   

   2013/P3/Q8* (q'n & sol'n) 

   2023/P2/Q7  (q'n & sol'n) 

 

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* (q'n & sol'n) (parabola)

 

 

Counting

  Suggested questions

  2005/P1/Q1* (q'n & sol'n) (counting) 

  Specimen/P1/Q5* (q'n & sol'n) (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* (q'n & sol'n) (quadratics & cubics)

   2007/P2/Q2* (q'n & sol'n) (cubic)

   2018/P1/Q7* (q'n & sol'n) (cubic)

   2008/P2/Q3* (q'n & sol'n) (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 - Exs (21 pages; 25/3/25)

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

   Suggested questions:

   2011/P2/Q1** (q'n & sol'n) (curve sketching)

   2008/P1/Q6* (q'n & sol'n) (curve sketching)

   2010/P1/Q2* (q'n & sol'n) (curve sketching)

   2013/P2/Q1* (q'n & sol'n) (curve sketching)

   2014/P1/Q2* (q'n & sol'n) (curve sketching; ln)

   2020/P3/Q2* (q'n & sol'n) (curve sketching; hyperbolic functions)

  

  

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** (q'n & sol'n) (systems of DEs)

   2008/P2/Q7* (q'n & sol'n) (DEs)

   Specimen/P3/Q7* (q'n & sol'n) (DEs)

   2007/P2/Q6* (q'n & sol'n) (DEs)

   2013/P3/Q7 (q'n & sol'n) (DEs)

 

 

Differentiation

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

   Differentiation: Ideas & Exs (11 pages; 26/11/24)

   Differentiation: Further Exs (16 pages; 23/4/25)  

   Suggested questions:

   Specimen/P1/Q2* (q'n & sol'n) (differentiation)

   2014/P1/Q4* (q'n & sol'n) (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* (q'n & sol'n) (inverse function)

   2003/P2/Q6* (q'n & sol'n) (modulus function)

 

 

Geometry

   Shortest distance from Origin to line (FM) (7 pages; 6/3/25)

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

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

   Suggested questions:

   2006/P1/Q2* (q'n & sol'n) (geometry; goat problem)

   2023/P2/Q8* (q'n & sol'n) (isosceles tetrahedron)

 

 

Hyperbolic Functions

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

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

   Suggested question:

   Specimen/P2/Q4* (q'n & sol'n) (hyperbolic fns; curve sketching)

 

 

Inequalities

   Notes (3 pages; 29/12/24)

   Ideas & Exs (20 pages; 29/12/24)

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

   Suggested questions:

   2020/P2/Q4* (q'n & sol'n) (inequalities; triangles)

   1987/P3/Q3*(i) (q'n & sol'n) (inequalities)

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

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

  

Integers

   Exercises (17 pages; 4/4/25)

 

Integration

   Ideas & Exs (27 pages; 13/1/25)

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

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

   Suggested questions:

   Specimen/P1/Q4* (q'n & sol'n) (integration; substitution)

   2023/P2/Q1** (q'n & sol'n) (integration; substitution)

   2019/P1/Q3* (q'n & sol'n) (integration)

   2011/P1/Q2* (q'n & sol'n) (integration)

   2010/P2/Q4** (q'n & sol'n) (integration)

   2016/P2/Q7* (q'n & sol'n) (integration)

   2014/P3/Q2* (q'n & sol'n) (integration)

   1987/P1/Q5* (q'n & sol'n) (integration; substitution)

   2007/P1/Q3* (q'n & sol'n) (integration)

   2007/P2/Q3* (q'n & sol'n) (integration; substitution)

   2008/P2/Q5* (q'n & sol'n) (integration)

   2012/P1/Q5* (q'n & sol'n) (integration)

   2014/P2/Q4* (q'n & sol'n) (integration)

   2020/P2/Q1* (q'n & sol'n) (integration)

   2019/P3/Q5* (q'n & sol'n) (integration)

   Further questions:

   1987/P1/Q8* (q'n & sol'n) (integration; substitution)

   1987/P2/Q6** (q'n & sol'n) (integration; trigonometry)  

   2005/P1/Q5* (q'n & sol'n) (integration)

   2006/P2/Q4* (q'n & sol'n) (integration; substitution)

   2007/P3/Q7* (q'n & sol'n) (integration)

   2008/P1/Q6* (q'n & sol'n) (integration)

   2011/P2/Q6* (q'n & sol'n) (integration)

   2012/P2/Q3* (q'n & sol'n) (integration)

   2019/P2/Q2* (q'n & sol'n) (integration)

   2021/P3/Q3* (q'n & sol'n) (integration; recurrence relation)

   2022/P3/Q5* (q'n & sol'n) (integration; hyperbolic fns)

 

 

Logarithms

   Ideas & Exs (11 pages; 14/12/24)

   Further Exs (11 pages; 16/12/24) 

   Suggested questions:

   2018/P1/Q2** (q'n & sol'n) (logarithms)

   1987/P1/Q4** (q'n & sol'n) (logarithms)

   2013/P2/Q1* (q'n & sol'n) (logarithms)

 

Matrices (See FM Pure for theory & exercises)

   Ideas & Exs (20 pages; 14/7/24)

   Suggested questions:

   2019/P3/Q3* (q'n & sol'n) (matrices; invariant points & lines)

   2021/P2/Q7* (q'n & sol'n) (matrices; rotations)

 

Numbers

   Suggested questions:

   2020/P2/Q5** (q'n & sol'n) (divisibility)

   2005/P1/Q1* (q'n & sol'n) (digits)

 

Polar Curves

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

  Polar Lines (14 pages; 10/4/25)

 Suggested questions:

  1989/P3/Q6** (q'n & sol'n) (polar curves; conics; lines)

 

Polynomials

   Ideas & Exs (7 pages; 13/3/25)

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

   Suggested questions:

   2006/P1/Q3* (q'n & sol'n) (quadratic; cubic)

   2019/P2/Q3* (q'n & sol'n) (polynomials; integer roots)

   2007/P2/Q2* (q'n & sol'n) (polynomials)

   2019/P2/Q1* (q'n & sol'n) (polynomials)

 

 

Sequences & Series

   Sequences & Series: Ideas & Exs (4 pages; 28/4/25)

   Further Exs (8 pages; 27/12/24)

   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** (q'n & sol'n) (Series)

   2010/P1/Q5* (q'n & sol'n) (Binomial)

   2005/P2/Q6* (q'n & sol'n) (Binomial)

   2013/P3/Q2* (q'n & sol'n) (Maclaurin)

   2007/P2/Q1* (q'n & sol'n) (Binomial)

  

 

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 question:

   2005/P2/Q4 (q'n & sol'n) (arctan)

  

 

Vectors

   Ideas & Exs (9 pages; 18/1/25)

   Further Exs  (21 pages; 18/1/25)  

   Suggested questions:

  Specimen/P2/Q9* (q'n & sol'n) (vectors)

   2019/P2/Q7* (q'n & sol'n) (vectors)

   2014/P3/Q7* (q'n & sol'n) (vectors; cyclic quadrilateral)

  Further questions:  

  2022/P3/Q7** (q'n & sol'n) (vector triple product)

  2023/P2/Q8** (q'n & sol'n) (isosceles tetrahedron)

 

 

 

Mechanics

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

Mechanics Notes (4 pages; 20/7/23)

 

Centre of Mass

Suggested question:

2010/P1/Q9* (sol'n) (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* (q'n & sol'n) (circular motion, projectiles) 

2020/P2/Q10* (q'n & sol'n) (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* (q'n & sol'n) (collisions)

2016/P2/Q9* (q'n & sol'n) (collisions)

2008/P2/Q10* (q'n & sol'n) (collisions)

2009/P2/Q10* (q'n & sol'n) (collisions)

2011/P1/Q10* (q'n & sol'n) (collisions)

2011/P2/Q9* (q'n & sol'n) (collisions)

Further questions:

2013/P1/Q10* (q'n & sol'n) (collisions)

2015/P2/Q11* (q'n & sol'n) (collisions)

2021/P3/Q9* (q'n & sol'n) (collisions)

2022/P3/Q9* (q'n & sol'n) (collisions)

 

Differential Eq'ns

Suggested questions:

2007/P3/Q9** (q'n & sol'n) (oscillations; spring on hoop)

2013/P3/Q9* (q'n & sol'n) (differential eq'ns)

2020/P3/Q10* (q'n & sol'n) (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':

2014/P1/Q11* (q'n & sol'n) (forces)

2018/P1/Q10* (q'n & sol'n) (forces)

2016/P1/Q9* (q'n & sol'n) (friction)

2015/P2/Q10* (q'n & sol'n) (forces)

2005/P2/Q11* (q'n & sol'n) (forces)

2023/P2/Q9** (q'n & sol'n) (forces)

Suggested questions - more advanced:

2021/P2/Q10** (q'n & sol'n) (constrained motion)

2021/P3/Q10** (q'n & sol'n) (constrained motion) 

Further questions:

2014/P2/Q11* (q'n & sol'n) (forces)

2020/P3/Q9* (q'n & sol'n) (equilibrium, friction)

2021/P2/Q9* (q'n & sol'n) (equilibrium)

2022/P2/Q9* (q'n & sol'n) (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* (q'n & sol'n) (Hooke's law)

2015/P3/Q9* (q'n & sol'n) (Hooke's law)

2017/P3/Q9* (q'n & sol'n) (Hooke's law)

 

 

Kinematics

Suggested questions:

2015/P1/Q10* (q'n & sol'n) (kinematics)

2019/P3/Q9* (q'n & sol'n) (kinematics)

  

Projectiles

Suggested questions:

2005/P2/Q10* (q'n & sol'n) (projectiles)

2012/P1/Q9* (q'n & sol'n) (projectiles)

Specimen/P2/Q11* (q'n & sol'n) (projectiles)

2006/P1/Q10* (q'n & sol'n) (projectiles)

2009/P1/Q9* (q'n & sol'n) (projectiles)

2011/P1/Q9* (q'n & sol'n) (projectiles)

Further questions:

2018/P3/Q11* (q'n & sol'n) (circular motion, projectiles) 

2020/P2/Q9* (q'n & sol'n) (projectiles)

2022/P2/Q10* (q'n & sol'n) (projectiles)

 

Rotating Bodies

Rotating Bodies - Examples (6 pages; 16/3/18)

Suggested questions:

Specimen/P2/Q14* (q'n & sol'n) (rotation)

Specimen/P3/Q14* (q'n & sol'n) (rotation)

2008/P1/Q9* (q'n & sol'n) (rolling)

 

Work, Energy & Power

Suggested questions:

1990/P1/Q10* (q'n & sol'n) (power)

Specimen/P1/Q10* (q'n & sol'n) (power)

2016/P3/Q11* (q'n & sol'n) (power)

2020/P2/Q10* (q'n & sol'n) (circular motion/energy)

 

   

Probability & Statistics

 

  Probability

  Probability & Counting Approaches (FM) (12 pages; 21/3/24) 

  Selections (FM) (6 pages; 15/3/24)

  Selections: Ideas & Exs (11 pages; 13/2/25)

  Combinatorics: Ideas & Exs (10 pages; 13/2/25)

  Counting - Exs (32 pages; 19/4/25)

  Probability Methods: Ideas & Exs (17 pages; 23/4/25)

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

 

  Suggested questions - Counting:

  2013/P1/Q13* (q'n & sol'n) (Counting)

  2012/P1/Q13* (q'n & sol'n) (Counting)

  2023/P3/Q12** (q'n & sol'n) (Combinatorics)

  Specimen/P3/Q16** (q'n & sol'n) (Combinatorics)

 

  Suggested questions - Probability:

  2009/P1/Q13** (q'n & sol'n) (Probability)

  2021/P2/Q12** (q'n & sol'n) (Probability)

  2015/P2/Q12* (q'n & sol'n) (Probability)

  2015/P1/Q13* (q'n & sol'n) (Probability)

  2020/P2/Q11** (q'n & sol'n) (Probability)

  2005/P3/Q13* (q'n & sol'n) (Probability)

 

  Further questions - Probability:

  Specimen/P2/Q16** (q'n & sol'n) (Probability)

  Specimen/P3/Q15** (q'n & sol'n) (Probability)

  2013/P1/Q12* (q'n & sol'n) (Probability) 

  2017/P1/Q13* (q'n & sol'n) (Probability; recurrence relations)

  2019/P1/Q11* (q'n & sol'n) (Probability) 

  2019/P2/Q11* (q'n & sol'n) (Probability)

  2019/P3/Q12* (q'n & sol'n) (Probability)

  2020/P2/Q12* (q'n & sol'n) (Probability)

 

  Suggested questions - Conditional Probability:

  1987/P2/Q16* (q'n & sol'n) (Conditional probability; Bayesian estimate)  

  1987/P1/Q14** (q'n & sol'n) (Conditional probability)

  1987/P1/Q16** (q'n & sol'n) (Conditional probability)

   

Distributions / Random Variables

  Distributions (STEP): Ideas & Exs

  Discrete Distributions (STEP): Ideas & Exs

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

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

 

  Suggested questions - Poisson:

  2017/P2/Q12* (q'n & sol'n) (Poisson)

  2006/P2/Q12* (q'n & sol'n) (Poisson)

  2006/P1/Q13* (q'n & sol'n) (Poisson)

  2019/P3/Q11* (q'n & sol'n) (Poisson)

  Further questions - Poisson:

  2012/P2/Q13* (q'n & sol'n) (Poisson) 

 

  Suggested questions - Distributions/RVs:

  2015/P3/Q13* (q'n & sol'n) (Distributions/RVs)

  2010/P2/Q12* (q'n & sol'n) (Distributions/RVs)  

  2005/P1/Q14* (q'n & sol'n) (Distributions/RVs) 

  2007/P3/Q12* (q'n & sol'n) (Distributions/RVs)

  2010/P3/Q12* (q'n & sol'n) (Distributions/RVs)

  2014/P2/Q12* (q'n & sol'n) (Distributions/RVs)

  Further questions - Distributions/RVs:

  2021/P3/Q12** (q'n & sol'n) (Distributions/RVs;Variance)

  2023/P2/Q11* (q'n & sol'n) (conditional RVs)

  2023/P2/Q12* (q'n & sol'n) (Distributions/RVs) 

  2022/P3/Q11* (q'n &sol'n) (Distributions/RVs)

  2017/P3/Q13* (q'n & sol'n) (Distributions/RVs; Uniform)

  2013/P1/Q13* (q'n & sol'n) (Distributions/RVs)

  2006/P3/Q12* (q'n & sol'n) (Normal)  

   2008/P3/Q13* (q'n & sol'n) (Distributions/RVs)  

 

 

Past Papers & Official Sol'ns etc

 

Individual questions for 1986 (Specimen) to 2018 can be found at https://stepdatabase.maths.org/database (you can also search by keyword); or in the book "STEP Mathematics - All exams from 1986 to 2018" by T.K. Finchley (tkfinchley.com). (Official sol'ns prior to 2005 are not readily available though.)

 

 

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

 

 

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

2001, Paper 2: 11

2003, Paper 2: 1 2 3 6 7 8 10

2003, Paper 3: 4

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 7 8 9 11 12

2023, Paper 3: 12

2024, Paper 3: 5 6 8