Welcome to highermathematics.co.uk
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.
Leckie N5 and Higher Maths Youtube videos can be found HERE.
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:
1. Circles – Videos, Theory, Mind Maps & Worksheets
2. Differentiation – Videos, Theory, Mind Maps & Worksheets
3. Exponentials & Logs – Videos, Theory, Mind Maps & Worksheets
4. Functions & Graphs – Videos, Theory, Mind Maps & Worksheets
5. Integration – Videos, Theory, Mind Maps & Worksheets
6. Polynomials & Quad’s – Videos, Theory, Mind Maps & Worksheets
7. Sequences – Videos, Theory, Mind Maps & Worksheets
8. Straight Lines – Videos, Theory, Mind Maps & Worksheets
9. Trigonometry – Videos, Theory, Mind Maps & Worksheets
10. Vectors – Videos, Theory, Mind Maps & Worksheets
11. Online Study Pack – Students looking for a ‘good’ pass
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1. Circles – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos __________________________ | maths180.com Video ___________________ | HSN Theory Guide _________________ | Mind Maps _____________ |
| Equations of Circles | Circles | Circle Theory (HSN) | Circle (HSN) |
| Equations of Tangents | Circle 1 | ||
| General Equation of a Cicle | Circle 2 | ||
| Intersection of Circles | |||
| Lines Intersecting Circles | |||
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Circles – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. 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 ______________________ |
| HSN Circles Theory Guide | HSN Circle Theory Guide | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann - Circles | Ex 12B, 12D, 12F, 12H, 12J, 12K, 12L | Answers on Links | ||
| Essential Skills Exam Practice 12 | Circles | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 8 | Tangent to a Circle | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 9 | Intersection of Lines & Circles | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 1 | Circles | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Circles (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Circles (2000 - 2013) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 3 | Circles (2016 - 2019) | Without Answers | Courtesy of the SQA | ||
| 61 SQA Questions | Exam Worksheet 3 | Circles (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Exam Worksheet 4 | Circles (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Check List 2 | Circles |
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2. Differentiation – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos __________________________________ | maths180.com Videos ______________________________________ | HSN Theory Guides ____________________________ | Mind Maps ____________________________ |
| Applications of Derivatives | Chain Rule - Increasing/Decreasing | Differentiation Theory (HSN) | Differentiation (HSN) |
| Chain Rule | Optimisation - More Challenging Examples | Further Calculus Theory (HSN) | Differentiation (Preparing For) |
| Closed Intervals | Rate of Change & Tangent to a Curve | Differentiation 1 | |
| Complex Differentiation | Trig Functions & Chain Rule | Differentiation 2 | |
| Curve Sketching | Differentiation (Further) | ||
| Derived Graphs | |||
| Equations of Tangents | |||
| Fractions & Roots | |||
| Increasing & Decreasing Functions | |||
| Introduction to Differentiation | |||
| Leibniz Notation | |||
| Optimisation | |||
| Stationary Points | |||
| Sin x & Cos x |
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Differentiation – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. 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 ______________________ |
| Differentiation Theory (HSN) | Differentiation Theory (HSN) | Recommended | Courtesy of HSN | ||
| Further Calculus Theory (HSN) | Further Calculus Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann - Differentiation | Ex 6C, 6D, 6E, 6F, 6G, 6H, 6I, 6J, 6L, 6M , 6N, 6O, 6P, 6Q, 6R, 6S | 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 3 | Differentiation | 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 4 | Equation of a Tangent to a Curve | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 5 | Stationary Points | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 17 | Graphs of Derived Functions | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 22 | Further Differentiation | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 23 | Further Integration | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 4 | Stationary Points | Without Answers | |||
| Grade Booster Paper 6 | Tangents to Curves | Without Answers | |||
| Grade Booster Paper 14 | Optimisation | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Differentiation (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Differentiation (2014 - 2019) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 3 | Differentiation (2000 - 2019) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 4 | Differentiation (Optimisation) | Without Answers | Courtesy of the SQA | ||
| 123 SQA Questions | Exam Worksheet 5 | Differentiation (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Exam Worksheet 6 | Differentiation (Old Higher) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 7 | Differentiation (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| 2024 Included! | Exam Worksheet 8 | Further Calculus (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 9 | Further Calculus | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 10 | Further Calculus (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Worksheet 1 | Differentiation Introduction - 1 | ||||
| Worksheet 2 | Differentiation Introduction - 2 | Without Answers | Answers Only | ||
| Worksheet 3 | Differentiation Matching | Without Answers | Answers Only | ||
| Exam Check List 3 | Differentiation | ||||
| Exam Check List 5 | Further Calculus |
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3. Exponentials & Logs – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos _____________________________ | maths180.com Video __________________ | HSN Theory Guide _____________________ | Mind Maps ________________________ |
| Introduction - Logs & Exponentials | Logs & Exponentials | Logs & Exponentials (HSN) | Logs & Exponentials (HSN) |
| Exponential Function | Logs & Exponentials 1 | ||
| Laws of Logs | Logs & Exponentials 2 | ||
| Graph Transformations | |||
| Linearising Data | |||
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Exponentials & Logs – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. 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 ______________________ |
| Exponentials & Logs Theory (HSN) | Exponentials & Logs Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann - Exponentials & Logs | Ex15C, 15D, 15E. 15F, 15G, 15H, 15I, 15J, 15K, 15L | Answers on Links | ||
| Essential Skills Exam Practice 13 | Logarithms | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 18 | Logarithmic Equations | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 31 | Natural Logarithms | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 32 | Logs: Connecting 2 Variables | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 11 | Exponential Functions (Half-Life) | Without Answers | |||
| Grade Booster Paper 13 | Log Equations & Graphs | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Exponentials & Logs (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Exponentials & Logs (2010 - 2019) | Without Answers | Courtesy of the SQA | ||
| 67 SQA Questions | Exam Worksheet 3 | Exponentials & Logs (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Exam Worksheet 4 | Exponentials & Logs (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 5 | Exponentials & Logs (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Exam Check List 6 | Exponentials & Logs |
4. Functions & Graphs – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos _______________________ | maths180.com Videos _________________________ | HSN Theory Guides ________________________________________ | Mind Maps _______________________ |
| Composite Functions | Composite & Inverse Functions | Exponentials & Logs Theory (HSN) | Functions & Graphs (HSN) |
| Domains & Ranges | Functions & Graphs | Functions & Graphs Theory (HSN) | Functions & Graphs |
| Exact Values | Graph Transformations - Movement & Reflection | ||
| Exponentials & Logs | Graphs Transformations Summary Sheet | ||
| Inverse Functions | |||
| Transformations of Graphs |
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Functions & Graphs – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. 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 __________________________________ |
| Functions & Graphs Theory (HSN) | Functions & Graphs Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann - Sets & Functions | Ex 2A, 2B, 2C, 2D, 2F, 2G, 2H, 2I | Answers on Links | ||
| Text Book Solutions | Heinemann - Graphs of Functions | Ex 3A, 3C, 3E, 3G, 3I, 3K, 3M, 3N, 3O, 3P | Answers on Links | ||
| Text Book Solutions | Heinemann - Trig Graphs & Equations | Ex 4A, 4B, 4C, 4E, 4H, 4I, 4J | Answers on Links | ||
| Essential Skills Exam Practice 6 | Functions | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 17 | Graphs of Derived Functions | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 20 | Related Graphs | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 27 | Composite Functions | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 28 | Inverse Functions | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Exam Worksheet 1 | Functions 1 (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 2 | Functions 2 | Without Answers | Courtesy of the SQA | ||
| 2024 Included! | Exam Worksheet 3 | Functions & Sets (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 4 | Functions & Graphs (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 5 | Functions & Graphs (2015 - 2019) | Without Answers | Courtesy of the SQA | ||
| 2024 Included! | Exam Worksheet 6 | Graphs of Functions (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 7 | Graphs of Functions | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 8 | Domain Restrictions | Courtesy of the SQA | |||
| Codebreaker | Worksheet 1 | Rearranging Formula (Practice for Inverse Functions) | Without Answers | ||
| Worksheet 2 | Inverse Functions | Answers on Worksheet | Courtesy of Maths4Everyone | ||
| Worksheet 3 | Plotting Graphs of Inverse Functions | ||||
| Worksheet 4 | Functions - Domains Restrictions | Without Answers | |||
| Worksheet 5 | Composite & Inverse Functions - Extension | Without Answers | Extension | Courtesy of Maths4Everyone | |
| Worksheet 6 | Plotting Exponential Functions | ||||
| Worksheet 7 | Graph Transformations | Answers | Courtesy of Maths Scot | ||
| Worksheet 8 | Transformations - Match Up | ||||
| Worksheet 9 | Graph Transformations Grid | Answers | |||
| Worksheets 10 & 11 | Blank Grid 1, Blank Grid 2 | ||||
| Worksheets 12 | Graph Transformations | Answers | |||
| Worksheets 13 | Graphs of Trig Functions | ||||
| Worksheets 14 | Trig Functions - Period & Amplitude | ||||
| Exam Check List 6 | Graphs of Functions | ||||
| Exam Check List 13 | Trig Graphs & Equations |
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5. Integration – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| 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 | |||
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Integration – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. 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 |
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6. Polynomials & Quadratics – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos _____________________________ | maths180.com Videos ___________________________ | HSN Theory Guide ________________________________ | Mind Maps _________________________ |
| Introduction - Polynomials | Completing the Square | Polynomials & Quadratics Theory (HSN) | Polynomials & Quadratics (HSN) |
| Dividing Polynimials | Discriminant | Polynomials & Quadratics | |
| Factorising Polynomials | Inequations | Polynomials | |
| Factorising Functions from Graphs | Intersection of Parabolas & Lines | Quadratics | |
| Finding Unknown Coefficients | Using the Discriminant | ||
| Solving Equations | |||
| Sketching Quadratics |
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Polynomials & Quadratics – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. 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 ______________________ |
| Polynomials & Quadratics Theory | Polynomials & Quadratics Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann Book - Polynomials | Ex 7B, 7C, 7D, 7E, 7F, 7G, 7H, 7I, 7K | Answers on Links | ||
| Text Book Solutions | Heinemann Book - Quadratics | Ex 8C, 8D, 8E, 8F, 8I, 8J, 8K | Answers on Links | ||
| Essential Skills Exam Practice 2 | Quadratic Theory | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills Exam Practice 4 | Polynomials | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 6 | Quadratic Inequalities | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 7 | Completing the Square | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 13 (N5 Maths) | Quadratic Formula (N5 Maths) | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 14 | Synthetic Division | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 33 | Using the Discriminant | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 3 | Polynomials | Without Answers | |||
| Grade Booster Paper 9 | Discriminant | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Polynomials (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Polynomials (2000 - 2019) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 3 | Polynomials (Old Higher) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 4 | Polynomials & Quadratics (2015 - 2019) | Without Answers | Courtesy of the SQA | ||
| 109 SQA Questions | Exam Worksheet 5 | Polynomials & Quadratics (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Exam Worksheet 6 | Polynomials & Quadratics (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| 2024 Included! | Exam Worksheet 7 | Quadratics (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 8 | Quadratics (2000 - 2018) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 9 | Quadratics (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Worksheet 1 | Factorising Trinomials | Without Answers | |||
| Worksheet 2 | Solving Quadratics by Factorising First | Answers | |||
| Worksheet 3 | Completing the Square | Answers | Courtesy of maths4everone | ||
| Worksheet 4 | Completing the Square - Advanced | Answers | Courtesy of maths4everone | ||
| Exam Check List 8 | Polynomials | ||||
| Exam Check List 9 | Quadratics |
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7. Sequences – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos __________________________________ | maths180.com Videos ____________________ | HSN Theory Guide __________________ | Mind Maps ____________________ |
| Introduction to Recurrence Relations | Sequences | Sequences | Sequences (HSN) |
| Limit of a Sequence | Recurrence Relations 1 | ||
| Recurrence Relation from a Sequence | Recurrence Relations 2 |
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Sequences – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.
| Notes __________________ | Worksheets ______________________________ | Worksheets ________________________________ | Without Answers ________________ | Notes/Comments ______________________ | Courtesy ______________________ |
| Sequences Theory (HSN) | Sequences Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann - Recurrence Relations | Ex 5A, 5B, 5C, 5D, 5H, 5I | Answers on Links | ||
| Essential Skills Exam Practice 10 | Recurrence Relations | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 15 | Limit of a Recurrence Relation | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 24 | Recurrence: Consecutive Terms | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 2 | Recurrence Relations | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Recurrence Relations (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Recurrence Relations (2000 - 2019) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 3 | Recurrence Relations (2015 - 2019) | Without Answers | Courtesy of the SQA | ||
| 38 SQA Questions | Exam Worksheet 4 | Recurrence Relations (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Exam Worksheet 5 | Recurrence Relations (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 6 | Recurrence Relations (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Exam Check List 10 | Recurrence Relations |
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8. Straight Lines – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos _____________________ | maths180.com Video ___________________ | HSN Theory Guide _______________________ | Mind Maps __________________ |
| Altitudes | Straight Lines | Straight Line Theory (HSN) | Straight Lines (HSN) |
| Collinearity | Straight Lines 1 | ||
| Distance between Points | Straight Lines 2 | ||
| Equation of a Line | |||
| Gradient Revision | |||
| Gradient from an Angle | |||
| Medians | |||
| Midpoints | |||
| Perpendicular Bisectors | |||
| Perpendicular Gradients | |||
| Points of Intersection |
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Straight Lines – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.
| Notes __________________ | Higher Worksheets __________________________ | Worksheet _________________________________ | Without Answers ________________ | Notes/Comments _____________________ | Courtesy ______________________ |
| Straight Line Theory (HSN) | Straight Line Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann Book - Straight Line | Ex 1A, 1B, 1D, 1E, 1F, 1G, 1I, 1K, 1M, 1N, 1O | Answers on Links | ||
| Essential Skills Exam Practice 1 | Straight Line | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 1 | Median of a Triangle | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 2 | Perpendicular Bisectors | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 3 | Altitude of a Triangle | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 4 | Equation of a Tangent to a Curve | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 9 | Intersection of Lines & Circles | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 29 | Angle between Line & x-axis | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 5 | Straight Lines | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Straight Lines (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Straight Lines (2000 - 2019) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 3 | Straight Lines (2015 - 2019) | Without Answers | Courtesy of the SQA | ||
| 54 SQA Questions | Exam Worksheet 4 | Straight Lines (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 5 | Straight Lines (Old Higher) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 6 | Straight Lines (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Exam Worksheet 7 | Straight Lines (Multiple Choice) | SQA Marking Schemes | Courtesy of the SQA | ||
| Worksheets 1 & 2 | Gradients of Perpendicular Lines 1, 2 | ||||
| Codebreaker | Worksheet 3 | Codebreaker - Distance Formula | Without Answers | ||
| Worksheet 4 | Distance Formula | ||||
| Exam Check List 11 | Straight Lines |
9. Trigonometry – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos _______________________________ | maths180.com Videos ______________________ | HSN Theory Guide _______________________ | Mind Maps _________________________ |
| Addition Formula | Solving Trig Equations | Trigonometry Theory (HSN) | Trigonometry (HSN) |
| Double Angle Formula | Trig Graphs | Wave Function (HSN) | |
| Exact Values | Compound Angle Formula | ||
| Radian Measure | Trigonometry 1 | ||
| Trig Equations 1 | Trigonometry 2 | ||
| Trig Equations 2 | |||
| Trig Identities | |||
| Wave Function - Introduction | |||
| Wave Function - All Forms | |||
| Wave Function - Equations | |||
| Wave Functions - Graphs | |||
| Wave Function - Max & Min Values | |||
| Wave Function - Multiple Angles |
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Trigonometry – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.
| Notes __________________ | Higher Worksheets ______________________________ | Worksheet ____________________________________ | Without Answers ________________ | Notes/Comments _____________________ | Courtesy ______________________ |
| Trigonometry Theory (HSN) | Trigonometry Theory (HSN) | Recommended | Courtesy of HSN | ||
| Further Calculus Theory (HSN) | Further Calculus Theory (HSN) | Recommended | Courtesy of HSN | ||
| Wave Function Theory (HSN) | Wave Function Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann - Trig Graphs & Equations | Ex 4A, 4B, 4C, 4E, 4H, 4I, 4J | Answers on Links | ||
| Text Book Solutions | Heinemann - Addition Formulae | Ex 11B, 11C, 11D, 11E, 11F, 11G, 11H, 11J | Answers on Links | ||
| Text Book Solutions | Heinemann - Further Calculus | Ex 14B, 14C, 14E, 14G, 14H, 14I, 14J, 14K | Answers on Links | ||
| Text Book Solutions | Heinemann - Wave Function | Ex 16A, 16C, 16D, 16E, 16F, 16G, 16H | Answers on Links | ||
| Essential Skills Exam Practice 5 | Trigonometry | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills Exam Practice 7 | Wave Function | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 11 | Trig Formula | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 12 | Related Angles | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 13 | Trig Equations (Double Angle Formula) | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 16 | The Wave Function | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 19 | Proving Trig Identities | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 25 - N5 Maths | Sine Rule (N5 Maths) | Answers | Courtesy of Mr G Rennie | ||
| Essential Skills 26 - N5 Maths | Cosine Rule (N5 Maths) | Answers | Courtesy of Mr G Rennie | ||
| Grade Booster Paper 8 | Wave Function | Without Answers | |||
| Grade Booster Paper 10 | Trig Equations with Double Angles | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Further Calculus (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| 2024 Included! | Exam Worksheet 2 | Trigonometry (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 3 | Trigonometry (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Exam Worksheet 4 | Trigonometry (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| 2024 Included! | Exam Worksheet 5 | Addition Formulae & Trig (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 6 | Addition Formulae & Trig (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 7 | Trig Graphs & Equations (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 8 | Trig Formulae & Equations 1 | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 9 | Trig Formulae & Equations 2 | Without Answers | Courtesy of the SQA | ||
| 2024 Included! | Exam Worksheet 10 | Wave Function (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 11 | Wave Function | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 12 | Wave Function (Old Higher) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 13 | Wave Function (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Worksheets 1 | Graphs of Trig Functions | ||||
| Worksheets 2 | Trig Functions - Period & Amplitude | ||||
| Exam Check List 1 | Addition Formulae | ||||
| Exam Check List 13 | Trig Graphs & Equations | ||||
| Exam Check List 15 | Wave Function |
.
10. Vectors – Videos, Theory Guides & Mind Maps
Thanks to the authors for sharing the excellent resources below.
| Larbert Maths Videos ______________________________ | maths180.com Video ___________________ | HSN Theory Guide _________________ | Mind Maps _________________ |
| 3-D Collinearity | Vectors | Vectors Theory (HSN) | Vectors (HSN) |
| Angle Between Vectors | Vectors 1 | ||
| Basis Vectors | Vectors 2 | ||
| Dividing a Line in a Given Ratio | Vectors 3 | ||
| Perpendicular Vectors | |||
| Position Vectors | |||
| Properties of Scalar Products | |||
| Scalar Products | |||
| Scalar Products from Components | |||
| Unit Vectors |
.
Vectors – Worksheets
Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. 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 ______________________ |
| Vectors Theory (HSN) | Vectors Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann Book - Vectors | Ex13A, 13B, 13C, 13D, 13E, 13F, 13G, 13I, 13K, 13L, 13M, 13N, 13O, 13P, 13Q, 13R, 13S, 13U | Answers on Links | ||
| Essential Skills Exam Practice 11 | Vectors | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 10 | Section Formula | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 21 | Scalar Product | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 30 | Angle between Vectors | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 7 | Vectors | Without Answers | |||
| 2024 Included! | Exam Worksheet 1 | Vectors (2000 - 2024) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Vectors (2015 - 2019) | Without Answers | Courtesy of the SQA | ||
| 91 SQA Questions | Exam Worksheet 3 | Vectors (Old higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA |
| Exam Worksheet 4 | Vectors (Old Higher) | Without Answers | Multiple Choice Included! | Courtesy of the SQA | |
| Exam Worksheet 5 | Vectors (2000 - 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Exam Check List 14 | Vectors |
11. Higher Maths Online Study Pack – Recommended!
Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about Higher Maths 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.
Covers the whole of the Higher Maths course
Created by an experienced maths teacher
Resources used with students in Scottish Secondary Schools
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