\(% Differentiation % https://tex.stackexchange.com/a/60546/ \newcommand{\Diff}{\mathop{}\!\mathrm{d}} \newcommand{\DiffFrac}[2]{\frac{\Diff #1}{\Diff #2}} \newcommand{\DiffOp}[1]{\frac{\Diff}{\Diff #1}} \newcommand{\Ndiff}[1]{\mathop{}\!\mathrm{d}^{#1}} \newcommand{\NdiffFrac}[3]{\frac{\Ndiff{#1} #2}{\Diff {#3}^{#1}}} \newcommand{\NdiffOp}[2]{\frac{\Ndiff{#1}}{\Diff {#2}^{#1}}} % Evaluation \newcommand{\LEvalAt}[2]{\left.#1\right\vert_{#2}} \newcommand{\SqEvalAt}[2]{\left[#1\right]_{#2}} % Epsilon & Phi \renewcommand{\epsilon}{\varepsilon} \renewcommand{\phi}{\varphi} % Sets \newcommand{\NN}{\mathbb{N}} \newcommand{\ZZ}{\mathbb{Z}} \newcommand{\QQ}{\mathbb{Q}} \newcommand{\RR}{\mathbb{R}} \newcommand{\CC}{\mathbb{C}} \newcommand{\PP}{\mathbb{P}} \renewcommand{\emptyset}{\varnothing} % Probabililty \DeclareMathOperator{\Cov}{Cov} \DeclareMathOperator{\Corr}{Corr} \DeclareMathOperator{\Var}{Var} \DeclareMathOperator{\Expt}{E} \DeclareMathOperator{\Prob}{P} % Distribution \DeclareMathOperator{\Binomial}{B} \DeclareMathOperator{\Poisson}{Po} \DeclareMathOperator{\Normal}{N} \DeclareMathOperator{\Exponential}{Exp} \DeclareMathOperator{\Geometric}{Geo} \DeclareMathOperator{\Uniform}{U} % Complex Numbers \DeclareMathOperator{\im}{Im} \DeclareMathOperator{\re}{Re} % Missing Trigonometric & Hyperbolic functions \DeclareMathOperator{\arccot}{arccot} \DeclareMathOperator{\arcsec}{arcsec} \DeclareMathOperator{\arccsc}{arccsc} \DeclareMathOperator{\sech}{sech} \DeclareMathOperator{\csch}{csch} \DeclareMathOperator{\arsinh}{arsinh} \DeclareMathOperator{\arcosh}{arcosh} \DeclareMathOperator{\artanh}{artanh} \DeclareMathOperator{\arcoth}{arcoth} \DeclareMathOperator{\arsech}{arsech} \DeclareMathOperator{\arcsch}{arcsch} % UK Notation \DeclareMathOperator{\cosec}{cosec} \DeclareMathOperator{\arccosec}{arccosec} \DeclareMathOperator{\cosech}{cosech} \DeclareMathOperator{\arcosech}{arcosech} % Paired Delimiters \DeclarePairedDelimiter{\ceil}{\lceil}{\rceil} \DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor} \DeclarePairedDelimiter{\abs}{\lvert}{\rvert} \DeclarePairedDelimiter{\ang}{\langle}{\rangle} % Vectors \newcommand{\vect}[1]{\mathbf{#1}} \newcommand{\bvect}[1]{\overrightarrow{#1}} % https://tex.stackexchange.com/a/28213 % \DeclareMathSymbol{\ii}{\mathalpha}{letters}{"10} % \DeclareMathSymbol{\jj}{\mathalpha}{letters}{"11} % \newcommand{\ihat}{\vect{\hat{\ii}}} % \newcommand{\jhat}{\vect{\hat{\jj}}} \newcommand{\ihat}{\textbf{\^{ı}}} \newcommand{\jhat}{\textbf{\^{ȷ}}} \newcommand{\khat}{\vect{\hat{k}}} % Other Functions \DeclareMathOperator{\sgn}{sgn} \DeclareMathOperator{\tr}{tr} % Other Math Symbols \DeclareMathOperator{\modulo}{mod} \newcommand{\divides}{\mid} \newcommand{\notdivides}{\nmid} \newcommand{\LHS}{\text{LHS}} \newcommand{\RHS}{\text{RHS}} \newcommand{\degree}{^{\circ}}\)

STEP Project

A Solution Booklet to STEP questions

Eason Shao

June 21, 2025

©2025 Eason Shao.

The text, PDF and webpage is licensed under a CC BY-NC-SA 4.0 licence.

The source files are licensed under a GNU GPL 3.0 licence.

The PDF file can be found here, with all the generated files here.

The PDF files split up by year, by paper and by question are available as well.

The webpage version is available here.

This work is formatted using LaTeX.

The source code is available at x  EasonSYC/step-project .

Last updated: June 21, 2025.

Preface
Current Progress
Paper I
Paper II
Paper III
2010 Year 2010
2010.3 Paper 3
2010.3.1 Question 1
2010.3.2 Question 2
2010.3.3 Question 3
2010.3.4 Question 4
2010.3.5 Question 5
2010.3.6 Question 6
2010.3.7 Question 7
2010.3.8 Question 8
2010.3.12 Question 12
2010.3.13 Question 13
2011 Year 2011
2011.3 Paper 3
2011.3.1 Question 1
2011.3.2 Question 2
2011.3.3 Question 3
2011.3.4 Question 4
2011.3.5 Question 5
2011.3.6 Question 6
2011.3.7 Question 7
2011.3.8 Question 8
2011.3.12 Question 12
2011.3.13 Question 13
2012 Year 2012
2012.3 Paper 3
2012.3.1 Question 1
2012.3.2 Question 2
2012.3.3 Question 3
2012.3.4 Question 4
2012.3.5 Question 5
2012.3.6 Question 6
2012.3.7 Question 7
2012.3.8 Question 8
2012.3.12 Question 12
2012.3.13 Question 13
2013 Year 2013
2013.3 Paper 3
2013.3.1 Question 1
2013.3.2 Question 2
2013.3.3 Question 3
2013.3.4 Question 4
2013.3.5 Question 5
2013.3.6 Question 6
2013.3.7 Question 7
2013.3.8 Question 8
2013.3.12 Question 12
2013.3.13 Question 13
2014 Year 2014
2014.3 Paper 3
2014.3.1 Question 1
2014.3.2 Question 2
2014.3.3 Question 3
2014.3.4 Question 4
2014.3.5 Question 5
2014.3.6 Question 6
2014.3.7 Question 7
2014.3.8 Question 8
2014.3.12 Question 12
2014.3.13 Question 13
2015 Year 2015
2015.3 Paper 3
2015.3.1 Question 1
2015.3.2 Question 2
2015.3.3 Question 3
2015.3.4 Question 4
2015.3.5 Question 5
2015.3.6 Question 6
2015.3.7 Question 7
2015.3.8 Question 8
2015.3.12 Question 12
2015.3.13 Question 13
2016 Year 2016
2016.3 Paper 3
2016.3.1 Question 1
2016.3.2 Question 2
2016.3.3 Question 3
2016.3.4 Question 4
2016.3.5 Question 5
2016.3.6 Question 6
2016.3.7 Question 7
2016.3.8 Question 8
2016.3.12 Question 12
2016.3.13 Question 13
2017 Year 2017
2017.2 Paper 2
2017.2.1 Question 1
2017.2.2 Question 2
2017.2.3 Question 3
2017.2.4 Question 4
2017.2.5 Question 5
2017.2.6 Question 6
2017.2.7 Question 7
2017.2.8 Question 8
2017.2.12 Question 12
2017.2.13 Question 13
2017.3 Paper 3
2017.3.1 Question 1
2017.3.2 Question 2
2017.3.3 Question 3
2017.3.4 Question 4
2017.3.5 Question 5
2017.3.6 Question 6
2017.3.7 Question 7
2017.3.8 Question 8
2017.3.12 Question 12
2017.3.13 Question 13
2018 Year 2018
2018.2 Paper 2
2018.2.1 Question 1
2018.2.2 Question 2
2018.2.3 Question 3
2018.2.4 Question 4
2018.2.5 Question 5
2018.2.6 Question 6
2018.2.7 Question 7
2018.2.8 Question 8
2018.2.12 Question 12
2018.2.13 Question 13
2018.3 Paper 3
2018.3.1 Question 1
2018.3.2 Question 2
2018.3.3 Question 3
2018.3.4 Question 4
2018.3.5 Question 5
2018.3.6 Question 6
2018.3.7 Question 7
2018.3.8 Question 8
2018.3.12 Question 12
2018.3.13 Question 13
2019 Year 2019
2019.3 Paper 3
2019.3.1 Question 1
2019.3.2 Question 2
2019.3.3 Question 3
2019.3.4 Question 4
2019.3.5 Question 5
2019.3.6 Question 6
2019.3.7 Question 7
2019.3.8 Question 8
2019.3.11 Question 11
2019.3.12 Question 12
2020 Year 2020
2020.3 Paper 3
2020.3.1 Question 1
2020.3.2 Question 2
2020.3.3 Question 3
2020.3.4 Question 4
2020.3.5 Question 5
2020.3.6 Question 6
2020.3.7 Question 7
2020.3.8 Question 8
2020.3.11 Question 11
2020.3.12 Question 12
2021 Year 2021
2021.3 Paper 3
2021.3.1 Question 1
2021.3.2 Question 2
2021.3.3 Question 3
2021.3.4 Question 4
2021.3.5 Question 5
2021.3.6 Question 6
2021.3.7 Question 7
2021.3.8 Question 8
2021.3.11 Question 11
2021.3.12 Question 12
2023 Year 2023
2023.2 Paper 2
2023.2.1 Question 1
2023.2.2 Question 2
2023.2.3 Question 3
2023.2.4 Question 4
2023.2.5 Question 5
2023.2.6 Question 6
2023.2.7 Question 7
2023.2.8 Question 8
2023.2.11 Question 11
2023.2.12 Question 12
2024 Year 2024
2024.2 Paper 2
2024.2.1 Question 1
2024.2.2 Question 2
2024.2.3 Question 3
2024.2.4 Question 4
2024.2.5 Question 5
2024.2.6 Question 6
2024.2.7 Question 7
2024.2.8 Question 8
2024.2.11 Question 11
2024.2.12 Question 12
2024.3 Paper 3
2024.3.1 Question 1
2024.3.2 Question 2
2024.3.3 Question 3
2024.3.4 Question 4
2024.3.5 Question 5
2024.3.6 Question 6
2024.3.7 Question 7
2024.3.8 Question 8
2024.3.11 Question 11
2024.3.12 Question 12