Just wanted to say thanks for providing the great higher maths material. I am pleased to say I got an A in my higher maths course.
Your material really helped me focus my study efforts for the exam.
Let the fantastic wealth of resources below teach you all about Further Calculus.
Covers the whole of the Higher Maths course
Created by an experienced maths teacher
Resources used with students in Scottish Secondary Schools
Welcome to highermathematics.co.uk
A sound understanding of how to integrate sinax & cosax is essential to ensure exam success.
Passing the fast paced Higher Maths course significantly increases your career opportunities by helping you gain a place on a college/university course, apprenticeship or even landing a job. A ‘good’ pass at Higher Maths will set you up well for the AH Maths Course next year should you be interested. Please do your very best to keep on top of your studies.
For students looking for extra help with the Higher Maths course you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.
To access a wealth of additional free resources by topic please either use the above Search Bar or click HERE selecting on the topic you wish to study.
We hope you find this website useful and wish you the very best of success with your Higher Maths course in 2025. Please find below:
2. About Integrating sinax & cosax
3. Integration – Videos, Theory Guides & Mind Maps
4. Higher Maths Essential Skills
5. Higher Maths Exam Worksheets by Topic
6. Higher Maths Past & Practice Papers by Topic
7. Higher Maths Videos, Theory Guides, Mind Maps & Worksheets
8. Higher Maths Past & Practice Papers
9. 40 Non-Calculator Higher Maths Questions & Answers
10. 200 Higher Maths Questions & Answers
11. Practice Exam Papers A to H – Answers Included
12. 264 SQA Exam Multiple Choice Questions & Answers
13. Higher Maths Exam Check Lists
14. Old Higher Maths Exam Questions by Topic
15. Higher Maths Text Book Solutions
16. Higher Maths Theory Guides
18. Higher Maths Practice Unit Assessments – Solutions Included
19. Higher Maths Past Paper Video Solutions
20. Higher Maths Recommended Text Book
21. Exam Focused Online Study Pack – For students looking for a ‘good’ Pass
1. Integration – Worksheets
Thanks to the SQA and authors for making the excellent resources below freely available. Please use regularly for revision prior to assessments, tests and the final exam. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.
| Notes __________________ | Higher Worksheets __________________________ | Worksheets _______________________________ | Without Answers ________________ | Notes/Comments _________________________ | Courtesy ______________________ |
| Integration Theory (HSN) | Integration Theory (HSN) | Recommended | Courtesy of HSN | ||
| Further Calculus Theory (HSN) | Further Calculus Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann - Integration | Ex 9G, 9H, 9I, 9L, 9N, 9P, 9Q, 9R | Answers on Links | ||
| Text Book Solutions | Heinemann - Further Calculus | Ex 14B, 14C, 14E, 14G, 14H, 14I, 14J, 14K | Answers on Links | ||
| Essential Skills Exam Practice 8 | Integration | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills Exam Practice 9 | Further Calculus | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 23 | Further Integration | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 25 | Differential Equations | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 26 | Definite Integrals | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 12 | Integration | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Further Calculus (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Further Calculus | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 3 | Further Calculus (Old Higher) | Without Answers | Courtesy of the SQA | ||
| 2024 Included! | Exam Worksheet 4 | Integration (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 5 | Integration (2014 - 2019) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 6 | Integration (2000 - 2018) | Without Answers | Courtesy of the SQA | ||
| 94 SQA Questions | Exam Worksheet 7 | Integration (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Exam Worksheet 8 | Integration (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 9 | Integration - Area under a Curve | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 10 | Integration (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Exam Check List 5 | Further Calculus | ||||
| Exam Check List 7 | Integration |
.
2. About Integrating sinax & cosax
To learn about integrating sinax & cosax please click on the Further Calculus Theory (HSN) link and read from page 150. Please also find in Sections 2 & 3 below videos, mind maps (Further Calculus) and worksheets on this topic to help your understanding. The Essential Skills 23 (Further Integration) worksheet, along with worksheets including actual SQA Exam Questions, are highly recommended.
If you would like more help understanding how to integrate sinax & cosax there are full, easy to follow, step-by-step worked solutions to dozens of Higher Maths Past & Practice exam questions on all topics in the Online Study Pack. Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack today.
Integrating sinax & cosax
Rules for differentiating and integrating sinax & cosax are shown below;
3. Integration – Videos, Theory Guides & Mind Maps
Thanks to the authors for making the excellent resources below freely available. Please use regularly for revision prior to assessments, tests and the final exam.
| Larbert Maths Videos __________________________ | maths180.com Videos ___________________________ | HSN Theory Guides __________________________ | Mind Maps ________________________ |
| Integration - Introduction | Indefinite & Definite Integrals | Integration Theory (HSN) | Integration (HSN) |
| Area Under a Curve | Area Under and Between Curves | Further Calculus Theory (HSN) | Further Calculus (HSN) |
| Area Between Curves | Integration (Preparing For) | ||
| Differential Equations | Integration 1 | ||
| Definite Integrals | Integration 2 | ||
| Integrating Sin & Cos | |||
| Integrating With The Chain Rule | |||
| Integration - Further Examples | |||
.
4. Higher Maths Essential Skills
Thanks to Mr G Rennie for making the excellent resources below freely available. The Essential Skills Worksheets can be used for general revision, homework, consolidation of a topic or preparation for assessments, tests and exams. Clear, easy to follow, step-by-step worked solutions to all 33 Essential Skills worksheets below are available in the Online Study Pack.
| Essential Skills __________________ | Topic - Answers Included ______________________________ | Without Answers ________________ | Answers Only ______________ | Handwritten Worked Solutions __________________________________ | Courtesy ___________________ |
| Essential Skills 1 | Median of a Triangle | Without Answers | Answers Only | ES1 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 2 | Perpendicular Bisectors | Without Answers | Answers Only | ES2 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 3 | Altitude of a Triangle | Without Answers | Answers Only | ES3 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 4 | Equation of a Tangent to a Curve | Without Answers | Answers Only | ES4 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 5 | Stationary Points | Without Answers | Answers Only | ES5 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 6 | Quadratic Inequalities | Without Answers | Answers Only | ES6 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 7 | Completing the Square | Without Answers | Answers Only | ES7 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 8 | Tangent to a Circle | Without Answers | Answers Only | ES8 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 9 | Intersection of Lines & Circles | Without Answers | Answers Only | ES9 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 10 | Section Formula | Without Answers | Answers Only | ES10 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 11 | Trig Formula | Without Answers | Answers Only | ES11 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 12 | Related Angles | Without Answers | Answers Only | ES12 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 13 | Trig Equations (Double Angle Formula) | Without Answers | Answers Only | E13 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 14 | Synthetic Division | Without Answers | Answers Only | ES14 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 15 | Limit of a Recurrence Relation | Without Answers | Answers Only | ES15 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 16 | The Wave Function | Without Answers | Answers Only | ES16 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 17 | Graphs of Derived Functions | Without Answers | Answers Only | ES17 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 18 | Logarithmic Equations | Without Answers | Answers Only | ES18 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 19 | Proving Trig Identities | Without Answers | Answers Only | ES19 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 20 | Related Graphs | Without Answers | Answers Only | ES20 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 21 | Scalar Product | Without Answers | Answers Only | ES21 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 22 | Further Differentiation | Without Answers | Answers Only | ES22 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 23 | Further Integration | Without Answers | Answers Only | ES23 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 24 | Recurrence: Consecutive Terms | Without Answers | Answers Only | ES24 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 25 | Differential Equations | Without Answers | Answers Only | ES25 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 26 | Definite Integrals | Without Answers | Answers Only | ES26 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 27 | Composite Functions | Without Answers | Answers Only | ES27 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 28 | Inverse Functions | Without Answers | Answers Only | ES28 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 29 | Angle between Line & x-axis | Without Answers | Answers Only | ES29 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 30 | Angle between Vectors | Without Answers | Answers Only | ES30 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 31 | Natural Logarithms | Without Answers | Answers Only | ES31 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 32 | Logs: Connecting 2 Variables | Without Answers | Answers Only | ES32 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| Essential Skills 33 | Using the Discriminant | Without Answers | Answers Only | ES33 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
.
5. Higher Maths Exam Worksheets by Topic
Thanks to the SQA and authors for making the excellent resources below freely available. The worksheets by topic are a fantastic study resource since they are actual past paper exam questions. Clear, easy to follow, step-by-step worked solutions to all new CfE Higher Maths Questions below are available in the Online Study Pack.
| Notes ______________ | Worksheets _________________ | Worksheet Topic __________________________________ | Without Answers ____________________ | Handwritten Solutions to CfE Exam Questions ________________________________________ | Courtesy ___________________ |
| 2024 Included! | Exam Worksheet 1 | Addition Formulae & Trig (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 2 | Circles (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 3 | Differentiation (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 4 | Exponentials & Logs (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 5 | Functions & Sets (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 6 | Further Calculus (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 7 | Graphs of Functions (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 8 | Integration (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 9 | Polynomials (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 10 | Quadratics (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 11 | Recurrence Relations (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 12 | Sets & Functions (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 13 | Straight Lines (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 14 | Trigonometry (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 15 | Vectors (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 16 | Wave Function (2000 - 2024) | Without Answers | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA |
| Prelim Special | Exam Worksheet 17 | Prelim Revision Special, With Answers | Answers Only | CfE Worked Solutions in the Online Study Pack | |
| 2024 Included! | Exam Booklet 1 | Past Paper Questions by Topic (Zeta Maths) | Answers Included | Excellent Exam Resource! | Courtesy of the SQA |
| Ultimate Guide 1 | Exam Booklet 2 | Ultimate Revision Guide 1 | CfE Worked Solutions in the Online Study Pack | Courtesy of the SQA | |
| Ultimate Guide 2 | Exam Booklet 3 | Ultimate Revision Guide 2 (Multiple Choice) | Multiple Choice Included! | Courtesy of the SQA | |
| Older Papers | |||||
| Pre 2024 | Exam Worksheet 20 | Circles 1 (2000 - 2013) | Without Answers | ||
| Pre 2024 | Exam Worksheet 21 | Circles 2 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 22 | Circles 3 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 23 | Circles 4 | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 24 | Differentiation 1 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 25 | Differentiation 2 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 26 | Differentiation 3 (Optimisation) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 27 | Differentiation 4 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 28 | Differentiation 5 (Old Higher) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 29 | Differentiation 6 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 30 | Exponentials & Logs 1 (2010 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 31 | Exponentials & Logs 2 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 32 | Exponentials & Logs 3 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 33 | Exponentials & Logs 4 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 34 | Functions 1 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 35 | Functions 2 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 36 | Functions & Graphs 1 (2015-2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 37 | Functions & Graphs 2 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 38 | Functions & Graphs 3 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 39 | Further Calculus 1 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 40 | Further Calculus 2 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 41 | Graphs of Functions 1 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 42 | Graphs of Functions 2 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 43 | Integration 1 (2014 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 44 | Integration 2 (2000 -2018) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 45 | Integration 3 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 46 | Integration 4 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 47 | Integration 5 - Area under a Curve | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 48 | Integration 6 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 49 | Polynomials 1 (2000 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 50 | Polynomials 2 (Old Higher) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 51 | Polynomials & Quadratics 1 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 52 | Polynomials & Quadratics 2 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 53 | Polynomials & Quadratics 3 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 54 | Quadratics 1 (2000 - 2018) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 55 | Quadratics 2 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 56 | Recurrence Relations 1 (2000 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 57 | Recurrence Relations 2 (2000 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 58 | Recurrence Relations 3 (2015 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 59 | Recurrence Relations 4 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 60 | Recurrence Relations 5 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 61 | Recurrence Relations 6 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 62 | Straight Lines 1 (2000-2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 63 | Straight Lines 2 (2015 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 64 | Straight Lines 3 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 65 | Straight Lines 4 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 66 | Straight Lines 5 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 67 | Straight Lines 6 (Multiple Choice) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 68 | Trigonometry 1 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 69 | Trigonometry 2 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 70 | Trig Addition Formulae 1 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 71 | Trig Graphs & Equations (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 72 | Trig Formulae & Equations 1 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 73 | Trig Formulae & Equations 2 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 74 | Vectors 1 (2015 - 2019) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 75 | Vectors 2 (Old higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 76 | Vectors 3 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Pre 2024 | Exam Worksheet 77 | Vectors 4 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 78 | Wave Function 1 | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 79 | Wave Function 2 (Old Higher) | Without Answers | Courtesy of the SQA | |
| Pre 2024 | Exam Worksheet 80 | Wave Function 3 (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | |
| 2022 Adapted | Exam Worksheet 81 | 2022 Adapted SQA Paper | SQA Marking Schemes | Courtesy of the SQA |
6. Higher Maths Past & Practice Papers by Topic
Thanks to the SQA for making the excellent resources below freely available. Questions and answers have been split up by topic for your ease of reference. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.
.
7. Higher Maths Videos, Theory Guides, Mind Maps & Worksheets
Dozens of Higher Maths Videos provide quality lessons by topic. Also included are excellent Theory Guides, Mind Maps and Revision Worksheets with actual Higher Maths exam questions. Please click on our new Higher Maths Videos & Worksheets by topic dedicated page.
.
8. Higher Maths Past & Practice Papers
Thanks to the SQA for making the excellent resources below freely available. Clear, easy to follow, step-by-step worked solutions to all CfE Higher Papers below are available in the Online Study Pack.
| Year _________________ | Paper Type _____________ | Exam Paper ______________________ | Marking Scheme ____________________ | Handwritten Worked Solutions _________________________________ | Courtesy ______________________ |
| 2024 | Higher (CfE) | Exam Paper | Marking Scheme | 2024 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Essential Skills | Higher (CfE) | Practice Papers 1 & 2 | Answers Only | 2024 Solutions in the Online Study Pack | Courtesy of Mr G Rennie |
| 2023 | Higher (CfE) | Exam Paper | Marking Scheme | 2023 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2022 | Higher (CfE) | Exam Paper | Marking Scheme | 2022 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2021 | Higher (CfE) | Exam Paper | Marking Scheme | 2021 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2019 | Higher (CfE) | Exam Paper | Marking Scheme | 2019 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2018 | Higher (CfE) | Exam Paper | Marking Scheme | 2018 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2018 | Specimen (CfE) | Specimen Paper | Marking Scheme | 2018 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2017 | Higher (CfE) | Exam Paper | Marking Scheme | 2017 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2016 | Higher (CfE) | Exam Paper | Marking Scheme | 2016 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2015 | Higher (CfE) | Exam Paper | Marking Scheme | 2015 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2015 | Specimen (CfE) | Specimen Paper | Marking Scheme | 2015 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2015 | Exemplar (CfE) | Exemplar Paper | Marking Scheme | 2015 Solutions in the Online Study Pack | Courtesy of the SQA |
| 2015 | Higher (Old) | Exam Paper | Marking Scheme | Courtesy of the SQA | |
| 2014 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2013 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2012 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2011 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2010 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2009 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2008 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2007 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2006 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2005 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2004 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2003 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2002 | Higher | Exam Paper | Marking Scheme | Worked Solutions | Courtesy of the SQA |
| 2002 | Higher (Winter) | Exam Paper | Courtesy of the SQA | ||
| 2001 | Higher | Exam Paper | Worked Solutions | Courtesy of the SQA | |
| 2000 | Higher | Exam Paper | Worked Solutions | Courtesy of the SQA | |
| Ultimate Guide 1 | Recommended | Ultimate Revision Guide 1 | CfE Solutions in the Online Study Pack | Courtesy of the SQA | |
| Ultimate Guide 2 | Recommended | Ultimate Revision Guide 2 | Multiple Choice Included! | CfE Solutions in the Online Study Pack | Courtesy of the SQA |
| 2024 Last Minute | Higher (CfE) | Condensed Paper & Solns | Answers Included | Courtesy of Mr Smith | |
| 2023 Essential Skills | Higher (CfE) | Practice Papers 1 & 2 | Answers Only | Worked Solutions | Courtesy of Mr G Rennie |
| 2022 Adapted | 2022 Adapted | Exam Paper | Marking 2019, 18, Spec'n | Solutions in the Online Study Pack | Courtesy of the SQA |
.
9. 40 Non-Calculator Higher Maths Questions & Answers
Thanks to the SQA and authors for making the excellent resources below freely available. Start with these questions to help build your confidence. Once finished, you may like to move onto the 200 Higher Maths Exam Questions in the next section checking your answers as you go. If stuck, always ask your teacher for help as soon as possible. Clear, easy to follow, step-by-step worked solutions to all 40 questions below are available in the Online Study Pack.
| Worksheet ______________ | Exam Questions & Answers ________________________ | Without Answers _______________ | Answers __________ | Worked Solutions ___________________ |
| Worksheet 1 | Sheet A - 10 Questions | Without Answers | Answers | In Online Study Pack |
| Worksheet 2 | Sheet B - 10 Questions | Without Answers | Answers | In Online Study Pack |
| Worksheet 3 | Sheet C - 10 Questions | Without Answers | Answers | In Online Study Pack |
| Worksheet 4 | Sheet D - 10 Questions | Without Answers | Answers | In Online Study Pack |
| Whole Booklet | Whole Booklet for Printing | Without Answers | Answers | In Online Study Pack |
.
10. 200 Higher Maths Questions & Answers
Thanks to the SQA and authors for making the excellent resources below freely available. Please try to do as many questions as possible, checking your answers as you go. If stuck, always ask your teacher for help as soon as possible. Clear, easy to follow, step-by-step worked solutions to all 200 questions below are available in the Online Study Pack.
.
11. Practice Exam Papers A to H – Answers Included
Thanks to the SQA and Larkhall Academy for making the excellent resources below freely available. Please use regularly for revision prior to assessments, tests and the final exam. Clear, easy to follow, step-by-step worked solutions to Practice Papers A to E are available in the Online Study Pack.
| Practice Paper _____________ | Paper 1 _____________ | Paper 2 _____________ | Papers 1 & 2 _____________________ | Answers _____________ |
| Paper A | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper B | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper C | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper D | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper E | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper F | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper G | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper H | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Exam Revision | Questions | Questions & Answers | Answers | |
| Prelim Special | Questions | Questions & Answers | Answers | |
| Prelim Special | X-Mas Theme | Questions & Answers | Answers | |
.
12. 264 SQA Exam Multiple Choice Questions & Answers
Thanks to the SQA and authors for making the excellent resources below freely available. Multiple choice are primarily C level questions and a great place to start your revision. If stuck, always ask your teacher for help as soon as possible.
| Questions __________ | Year ______ | Exam Multiple Choice __________________ | Exam Multiple Choice __________________ | Exam Multiple Choice __________________ |
| 1 - 20 | 2015 | Questions Only | Questions & Answers | Answers Only |
| 21 - 40 | 2014 | Questions Only | Questions & Answers | Answers Only |
| 41 - 60 | 2013 | Questions Only | Questions & Answers | Answers Only |
| 61 - 80 | 2012 | Questions Only | Questions & Answers | Answers Only |
| 81 - 100 | 2011 | Questions Only | Questions & Answers | Answers Only |
| 101 - 120 | 2010 | Questions Only | Questions & Answers | Answers Only |
| 121 - 264 | Mixed | Questions Only | Questions & Answers | Answers Only |
.
13. Higher Maths Exam Check Lists
Thanks to the SQA and authors for making the excellent resources below freely available. These are fantastic check lists to assess your Higher Maths knowledge. Please try to use these regularly for revision prior to tests, prelims and the final exam.
| Check List ______________ | Topic ____________________________ |
| Check List 1 | Whole Course - Leckie & Leckie |
| Check List 2 | Whole Course - Zeta Maths |
| Check List 3 | Whole Course - Free Higher Maths |
| Check List 4 | HSN Unit 1 - One Page Summary |
| Check List 5 | HSN Unit 2 - One Page Summary |
| Check List 6 | HSN Unit 3 - One Page Summary |
| Check List 7 | Addition Formulae |
| Check List 8 | Circles |
| Check List 9 | Differentiation |
| Check List 10 | Exponentials & Logs |
| Check List 11 | Further Calculus |
| Check List 12 | Graphs of Functions |
| Check List 13 | Integration |
| Check List 14 | Polynomials |
| Check List 15 | Quadratics |
| Check List 16 | Recurrence Relations |
| Check List 17 | Straight Lines |
| Check List 18 | Sets & Functions |
| Check List 19 | Trig Graphs & Equations |
| Check List 20 | Vectors |
| Check List 21 | Wave Function |
| Check List 22 | Formulas not given in Exam |
| Check List 23 | SQA Formula Sheet |
| Check List 24 | Course Description |
| Check List 25 | Trig Revision Sheet |
.
14. Old Higher Maths Exam Questions by Topic
Thanks to the SQA for making the excellent resources below freely available. The worksheets by topic are a fantastic additional study resource.
| Topic ________ | Topic Name ___________________________ | Link ________ | Notes ___________________ |
| Topic 1 | Circles | HERE | Answers Included |
| Topic 2 | Differentiation | HERE | Answers Included |
| Topic 3 | Exponentials & Logarithms | HERE | Answers Included |
| Topic 4 | Functions | HERE | Answers Included |
| Topic 5 | Further Calculus | HERE | Answers Included |
| Topic 6 | Graphs of Functions | HERE | Answers Included |
| Topic 7 | Integration | HERE | Answers Included |
| Topic 8 | Polynomials | HERE | Answers Included |
| Topic 9 | Quadratics | HERE | Answers Included |
| Topic 10 | Recurrence Relations | HERE | Answers Included |
| Topic 11 | Straight Line | HERE | Answers Included |
| Topic 12 | Trig Addition Formulae | HERE | Answers Included |
| Topic 13 | Trig Graphs & Equations | HERE | Answers Included |
| Topic 14 | Vectors | HERE | Answers Included |
| Topic 15 | Wave Function | HERE | Answers Included |
.
15. Higher Maths Text Book Solutions
Thanks to the AHS for providing the Heinemann Higher Maths text book solutions below. These will prove extremely useful in helping to progress your Higher Maths knowledge. Please note that there may be the odd arithmetic error.
.
16. Higher Maths Theory Guides
Thanks to HSN for making the excellent Higher Maths Theory Guides freely available for all to use. These will prove a fantastic resource in helping you consolidate your understanding of Higher Maths.
| Theory Guides _________________ | Topic ____________________________________________ | Link _______ |
| Theory Guide 1 | All Topics Unit 1 Theory (HSN) | HERE |
| Theory Guide 2 | All Topics Unit 1 - One Page Summary Guide (HSN) | HERE |
| Theory Guide 3 | All Topics Unit 2 Theory (HSN) | HERE |
| Theory Guide 4 | All Topics Unit 2 - One Page Summary Guide (HSN) | HERE |
| Theory Guide 5 | All Topics Unit 3 Theory (HSN) | HERE |
| Theory Guide 6 | All Topics Unit 3 - One Page Summary Guide (HSN) | HERE |
| Theory Guide 7 | All Topics Units 1,2 & 3 Theory (HSN) | HERE |
| Theory Guide 8 | Circles Theory (HSN) | HERE |
| Theory Guide 9 | Differentiation Theory (HSN) | HERE |
| Theory Guide 10 | Exponentials & Logarithms Theory (HSN) | HERE |
| Theory Guide 11 | Functions & Graphs Theory (HSN) | HERE |
| Theory Guide 12 | Further Calculus Theory (HSN) | HERE |
| Theory Guide 13 | Graphs Transformations Theory (Movement & Reflection) | HERE |
| Theory Guide 14 | Graphs Transformations Summary Sheet | HERE |
| Theory Guide 15 | Integration Theory (HSN) | HERE |
| Theory Guide 16 | Polynomials & Quadratics Theory (HSN) | HERE |
| Theory Guide 17 | Sequences Theory (HSN) | HERE |
| Theory Guide 18 | Straight Line Theory (HSN) | HERE |
| Theory Guide 19 | Trigonometry Theory (HSN) | HERE |
| Theory Guide 19 | Vectors Theory (HSN) | HERE |
| Theory Guide 20 | Wave Function Theory (HSN) | HERE |
17. Higher Maths Mind Maps
Thanks to the authors for providing the excellent resources below. These will prove a fantastic resource in helping you prepare for assessments, tests and the final exam.
| Mind Map ____________ | Topic ____________________________ | Mind Map ___________ | Topic ____________________________ |
| Mind Map 1 | Circle 1 | Mind Map 16 | Polynomials & Quadratics |
| Mind Map 2 | Circle 2 | Mind Map 17 | Polynomials |
| Mind Map 3 | Composite Functions | Mind Map 18 | Quadratics |
| Mind Map 4 | Compound Angle Formula | Mind Map 19 | Recurrence Relations 1 |
| Mind Map 5 | Differentiation (Preparing For) | Mind Map 20 | Recurrence Relations 2 |
| Mind Map 6 | Differentiation 1 | Mind Map 21 | Straight Lines 1 |
| Mind Map 7 | Differentiation 2 | Mind Map 22 | Straight Lines 2 |
| Mind Map 8 | Differentiation (Further) | Mind Map 23 | Trigonometry 1 |
| Mind Map 9 | Functions & Graphs | Mind Map 24 | Trigonometry 2 |
| Mind Map 10 | Graph Transformations | Mind Map 25 | Vectors 1 |
| Mind Map 11 | Integration (Preparing For) | Mind Map 26 | Vectors 2 |
| Mind Map 12 | Integration 1 | Mind Map 27 | Vectors 3 |
| Mind Map 13 | Integration 2 | Mind Map 28 | Wave Function 1 |
| Mind Map 14 | Logs & Exponentials 1 | Mind Map 29 | Wave Function 2 |
| Mind Map 15 | Logs & Exponentials 2 |
.
18. Higher Maths Practice Unit Assessments – Solutions Included
Thanks to the authors for making the excellent resources below freely available for all to use. Please use regularly for revision prior to assessments, tests and the final exam.
| Unit _________ | Paper ____________ | Solutions ___________ |
| Unit One | Practice A | Solutions |
| Unit One | Practice B | Solutions |
| Unit Two | Practice A | Solutions |
| Unit Two | Practice B | Solutions |
| Unit Three | Practice A | Solutions |
| Unit Three | Practice B | Solutions |
| Unit Four | Practice A | Solutions |
.
19. Higher Maths Past Paper Video Solutions
Please click DLB Maths to view Higher Maths Past Paper video solutions. This will prove an excellent resource in helping you prepare for assessments, tests and the final exam.
.
20. Higher Maths Recommended Text Book
Please find below our highly recommended text book which can be ordered by clicking on the book/link.
.
.
21. Higher Maths Online Study Pack
Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about how to integrate sinax & cosax to pass your final exam.
For students looking for a ‘good’ pass at Higher Maths you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack. Subscribing could end up being one of your best ever investments.
Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack today.
We hope the resources on this website prove useful and wish you the very best of success with your Higher Maths course in 2025.
Topic Links
Free resources to dozens of Higher Maths topics are available by clicking on any of the links to the right.
Follow us
