STEP
(recently added material is in green - where changes are significant)
General Notes
STEP Exams - Tips (3 pages; 14/2/21)
STEP Exams - Preparation (3 pages; 4/6/20)
STEP Exams - Methods (10 pages; 8/11/24)
STEP Exams - Technique (9 pages; 20/7/24)
Index of q'ns: Pure (25 pages; 28/7/24)
Index of q'ns: Mechanics (10 pages; 25/7/24)
Index of q'ns: Probability & Statistics (7 pages; 14/7/23)
Topics (See Help page for access)
(with recommended STEP q'ns)
[FM = repeat of document on FM pages]
Important Ideas (STEP)(6 pages; 12/7/24)
Basic Ideas & Exercises (STEP) (20 pages; 18/11/24)
(A) Pure
Algebra
Ideas & Exercises (STEP) (13 pages; 8/11/24)
Exercises (STEP): Algebra 1 2 3 4 5
Complex Numbers
Ideas & Exercises (STEP)
Complex Number Methods (STEP)(9 pages; 28/2/15)
Exercises (STEP): Complex Numbers 1 2
Curve Sketching & Functions
Ideas & Exercises (STEP)
Mappings & functions (FM) (3 pages; 2/6/23)
Functions & Curve Sketching (STEP) (5 pages; 2/6/23)
Cubics (5 pages; 5/6/23)
Cubics Exs (3 pages, 29/7/16) Sol'ns (10 pages, 29/7/16)
Transformations (STEP) (6 pages; 29/2/24)
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)
Exercises (STEP): Curve Sketching 1 2 3 4 5 6
Exercises (STEP): Transformations 1 2 3 4 5
2007/P2/Q2 (sol'n) [cubic]
2011/P2/Q1 (sol'n) [square roots]
Differential Eq'ns
Ideas & Exercises (STEP)
Differential Equations (STEP) (6 pages; 21/4/23)
Exercises (STEP): Differential Equations 1 2 3 4
Differentiation
Ideas & Exercises (STEP)
Exercises (STEP): Differentiation 1 2 3 4 5 6 7
Geometry
Exercises (STEP): Geometry 1 2
Hyperbolic Functions
Ideas & Exercises (STEP)
Exercises (STEP): Hyperbolic Functions 1 2 3 4
2020/P3/Q2 (sol'n) [curve sketching]
Integers
Exercises (STEP): Integers 1 2 3 4 5 6 7 8
Inequalities
Inequalities (FM) (4 pages; 3/6/23)
Ideas & Exercises (STEP) (33 pages; 18/11/24)
Integration
Ideas & Exercises (STEP)
Integration Methods (FM) (11 pages; 15/6/24)
Further Integration Methods (STEP) (8 pages; 20/6/24)
Exercises (STEP): Integration 1 2 3 4 5 6 7 8 9 10
2011/P1/Q2 (sol'n) [E&e]
2008/P2/Q5 (sol'n) [Binomial expansion]
Logarithms
Ideas & Exercises (STEP) (9 pages; 13/11/24)
Exercises (STEP): Logarithms 1 2 3 4
Matrices
Ideas & Exercises (STEP)(20 pages; 14/7/24)
2021/P2/Q7 (sol'n)
Polynomials
Ideas & Exercises (STEP)(6 pages; 8/11/24)
Exercises (STEP): Polynomials 1 2 3 4 5 6 7 8 9
Proof
Proof (STEP) (10 pages; 24/8/24)
Ideas & Exercises (STEP) (9 pages; 28/8/24)
Exercises (STEP): Proof 1 2 3 4 5 6 7 8 9
Exercises (STEP): Induction 1
2008/P1/Q1 (sol'n) [irrational numbers]
2006/P1/Q3 (sol'n) [quadratic]
Series
Ideas & Exercises (STEP)
Exercises (STEP): Sequences & Series 1 2 3 4 5
Recurrence relations (FM)(16 pages; 5/9/18)
Exercises (STEP): Recurrence Relations (10 pages, 6/11/22)
2005/P2/Q6 (sol'n)
Trigonometry
Ideas & Exercises (STEP)
Trigonometry (STEP) (5 pages; 15/4/21)
Exercises (STEP): Trigonometry 1 2 3 4 5 6 7 8 9 10 11 12 13 14
2005/P2/Q4 (sol'n) [arctan]
Vectors
Ideas & Exercises (STEP)
Vector Ideas (STEP) (8 pages; 20/7/24)
Exercises (STEP): Vectors 1 2 3 4 5 6 7 8 9 10
Miscellaneous Pure
Exercises (STEP): General 1 2 3 4
(B) Mechanics
Ideas & Exercises (STEP)
Mechanics Notes (STEP) (4 pages; 20/7/23)
Friction (FM) (5 pages; 1/6/24)
Rolling wheel: Friction (FM) (14 pages; 31/5/24)
Rotating Bodies - Examples (STEP) (6 pages; 16/3/18)
2005/P2/Q10 (sol'n) [missiles]
2018/P3/Q11 (sol'n) [circular motion]
2021/P2/Q10 (sol'n) [bead on train]
Exercises (STEP): Forces 1 2 3 4 5 6 7
2018/P1/Q10 (sol'n) [Forces: engines & carriages]
Exercises (STEP): Collisions 1 2 3 4 5 6 7 8 9 10
(C) Probability & Statistics
Probability Methods - Ideas & Exercises (STEP)(8 pages; 2/4/24)
Probability Exercises (STEP) 1 2 3 4 5
2009/P1/Q13 (sol'n) [Probability]
Selections (FM) (6 pages; 15/3/24)
Selections: Ideas & Exercises (STEP) (13 pages; 8/7/24)
Probability & Counting Approaches (FM) (12 pages; 21/3/24)
Counting Exercises (STEP) 1 2 3 4 5 6 7 8 9 10 11
Distributions: Ideas & Exercises (STEP)
Discrete Distributions: Ideas & Exercises (STEP)
Continuous Distributions: Ideas & Exercises (STEP)
Statistics Exercises (STEP) 1
2017/P2/Q12 (sol'n) [Poisson]
Probability Generating Functions: Ideas & Exercises (STEP)
Past Papers & Official Sol'ns etc
[Earlier papers (back to 1994) can be found on the MyMathsCloud website.]
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
Past Paper Solutions
[See also Peter Mitchell's site]
2005, Paper 1: 1 3 4 5 11 12 13 14
2006, Paper 1: 1 2 3 4 5 6 7 8 9 10 11 12 13 14
2006, Paper 3: 2 3 4 10 11 12 13
2007, Paper 1: 1 2 3 4 5 7 12 13
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 2: 3 5 7 9 10 11 12 13
2012, Paper 3: 1 6 7 9 10 11 12 13
2016, Paper 1: 2 9 10 11 12 13
2020, Paper 3: 1 2 7 9 10 11 12
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