Welcome to highermathematics.co.uk
This website is primarily a free Maths resource for pupils, adult learners, parents and teachers.
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 in 2020/21 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.
We hope you find this website useful and wish you the very best with your studies in 2020/21.
Please find below:
1. New Higher Maths Exam Worksheets by Topic
2. Higher Maths Past & Practice Papers by Topic
3. Higher Maths Past & Practice Papers
4. 40 Non-Calculator Higher Maths Questions & Answers
5. 200 Higher Maths Exam Questions & Answers
6. Practice Exam Papers A to H – Answers Included
7. Higher Maths Homework Exercises
8. Old Higher Maths Exam Worksheets by Topic
9. Higher Maths Course Description & Exam Check Lists
10. Higher Maths Text Book Solutions
11. Higher Maths Theory Guides
13. Higher Maths Practice Unit Assessments (Solutions Included)
14. Higher Maths Past Paper Video Solutions
15. Higher Maths Recommended Text Book
16. Exam Focused Study Pack – Students looking for a ‘good’ Pass
1. New Higher Maths Exam Worksheets by Topic
Thanks to the SQA for making these available. The worksheets by topic below are an excellent study resource since they are actual SQA past paper exam questions. Additional worksheets can be found further down this page in Section 7.
Clear, easy to follow, step-by-step worked solutions to all SQA Higher Maths Questions below are available in the Online Study Pack.
| Number ______ | Topic ________________________________ | Answers _________ |
| 1 | Circles | Answers |
| 2 | Differentiation | Answers |
| 3 | Differentiation - Optimisation | Answers |
| 4 | Exponentials & Logs | Answers |
| 5 | Functions & Graphs | Answers |
| 6 | Further Calculus | Answers |
| 7 | Integration | Answers |
| 8 | Integration - Area under a Curve | Answers |
| 9 | Polynomials & Quadratics | Answers |
| 10 | Recurrence Relations | Answers |
| 11 | Straight Lines | Answers |
| 12 | Trig Formulae & Equations | Answers |
| 13 | Vectors | Answers |
| 14 | Wave Function | Answers |
| 15 | X-Mas Revision Worksheet | Solutions |
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2. Higher Maths Past & Practice Papers by Topic
Thanks to the SQA for making these available. Questions and answers have been split up by topic for ease of reference.
Clear, easy to follow, step-by-step worked solutions to all questions below available in the Online Study Pack.
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3. Higher Maths Past & Practice Papers
Thanks to the SQA for making these available.
Clear, easy to follow, step-by-step worked solutions to all CfE Higher Papers below available in the Online Study Pack.
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4. 40 Non-Calculator Higher Maths Questions & Answers
Thanks to the SQA and author(s) for collating the questions below.
Start with these questions to help build your confidence. Once finished, move onto the 200 Higher Maths Exam Questions in the section below checking your answers as you go.
Clear, easy to follow, step-by-step worked solutions to all 40 questions below available in the Online Study Pack.
| Exam Questions ______________________________________ | Answers ___________________________ |
| Whole Booklet for Printing | Answers |
| Sheet A - 10 Questions | Answers |
| Sheet B - 10 Questions | Answers |
| Sheet C - 10 Questions | Answers |
| Sheet D - 10 Questions | Answers |
5. 200 Higher Maths Questions & Answers
Thanks to the SQA and author(s) for collating the questions below.
An excellent resource to prepare for the final exam. 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 available in the Online Study Pack.
6. Practice Exam Papers A to H – Answers Included
Thanks to the SQA and Larkhall Academy for collating the excellent practice exam papers below.
Clear, easy to follow, step-by-step worked solutions to Practice Papers A to E 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 | HERE | |
| Paper B | Paper 1 | Paper 2 | Papers 1 & 2 | HERE | |
| Paper C | Paper 1 | Paper 2 | Papers 1 & 2 | HERE | |
| Paper D | Paper 1 | Paper 2 | Papers 1 & 2 | HERE | |
| Paper E | Paper 1 | Paper 2 | Papers 1 & 2 | HERE | |
| Paper F | Paper 1 | Paper 2 | Papers 1 & 2 | HERE | |
| Paper G | Paper 1 | Paper 2 | Papers 1 & 2 | HERE | |
| Paper H | Paper 1 | Paper 2 | Papers 1 & 2 | HERE |
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7. Higher Maths Homework Exercises
Thanks to author(s) and SQA for collating and allowing the use of their Past Paper questions in the excellent homework exercises below.
| Link _______________ | Topics _______________________________________________________________________________________________________________ |
| Whole Booklet | Whole Booklet for Printing Out |
| Homework 1 | Factorising, Completing the Square, Surds & Indices, Straight Line, Simultaneous Equations |
| Homework 2 | Distance Formula, Mid-Point, Collinear Points, Gradient, Straight Line, Median, Perpendicular Bisector, Median |
| Homework 3 | Gradient, Recurrence, Point of Intersection |
| Homework 4 | Composite Functions, Recurrence, Domain Restrictions, Graph Transformations, Gradient |
| Homework 5 | Gradient, Completing the Square, Differentiation, Gradient of Tangent, Graph Transformations, Nature of Turning Points |
| Homework 6 | Completing the Square, Graph Transformations, Equation of Tangent, Inverse Functions, Composite Functions, Graphs of Derived Functions |
| Homework 7 | Synthetic Division, Differentiation, Compostite Functions, Polynomials, Nature of Roots, Optimisation |
| Homework 8 | Nature of Roots, Recurrence, Gradient of Tangent, Parabola's, Rate of Change, Integration, Turning Points, Polynomials |
| Homework 9 | Perpendicular Bisectors, Medians, Composite Functions, Turning Points, Polynomials, Integration, Area under a Graph |
| Homework 10 | Completing the Square including TP's, Composite Functions, Inverse Functions, Sketching Graphs, Integration (express y in terms of x) |
| Homework 11 | Exact Values, Nature of Roots, Integration, Area between two Curves, Trig Equations |
| Homework 12 | Equation of a Straight Line, Trig Equations, Exact Values, Integration, Finding the Equation of the Tangent |
| Homework 13 | Circles, Exact Values with Sin(2p) & Cos(2p), Area Under a Curve, Integration with Limits |
| Homework 14 | Equation of Tangent, Circles (point of contact), Collinear Points & Ratio, Area between a Line and Curve |
| Homework 15 | Trig Equations, Staionary Points and their Nature, Curve Sketching, Log Equations, Vectors, Area under a Curve |
| Homework 16 | Circles, Further Differentiation, Wave Equation, Half Life (Exponentials & Logs), Vectors |
| Homework 17 | Further Differentiation, Trig Graphs, Log Equations, Collinear Points & Ratio, Perpendicular Vectors, Further Integration |
| Homework 18 | Collinear Points & Ratio, Log Equations, Equation of Tangent, Trig Equations, Exact Values |
| Homework 19 | Nature of Roots, Circles & Tangents, Exact Values, Vectors Exam Question, Integration & Differentiation, Area between two Curves |
| Homework 20 | Circles, Trig Equations, Composite Functions & Completing the Square, Triangles & Medians, Area under a Curve |
| X-Mas Revision | Solutions Straight Line, Functions & Graphs, Recurrence Relations, Differentiation, Trig, Polynomials, Quadratics, Integration, Circles, |
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8. Old Higher Maths Exam Worksheets by Topic
Thanks to the SQA for making these available.
| 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 |
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9. Higher Maths Course Description & Exam Check Lists
Excellent check lists below to assess your Higher Maths knowledge. Please try to use these regularly for revision prior to tests, prelims and the final exam.
| Description ___________________________________________________ | Link ________ | Acknowledgements ______________________ |
| Higher Maths Course Description | HERE | |
| SQA Higher Maths Exam Formulae List | HERE | Courtesy of SQA |
| Check List 1 - Higher Maths Formulae List Not Given in Exam | HERE | |
| Check List 2 - Higher Maths Exam Whole Course | HERE | |
| Check List 3 - Higher Maths Exam Trig Revision Sheet | HERE | |
| Check List 4 - One Page Summary Guide Unit 1 (HSN) | HERE | Courtesy of HSN |
| Check List 5 - One Page Summary Guide Unit 2 (HSN) | HERE | Courtesy of HSN |
| Check List 6 - One Page Summary Guide Unit 3 (HSN) | HERE | Courtesy of HSN |
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10. Higher Maths Text Book Solutions
Thanks to the author(s) for providing the Heinemann Higher Maths text book solutions below.
These may prove extremely useful allowing students to progress their knowledge. Please note there may be the odd silly arithmetic error.
| Topic ______________ | Topic Name ____________________ | |||||||||||||||||
| Topic 1 | Straight Line | 1A | 1B | 1D | 1E | 1F | 1G | 1I | 1K | 1M | 1N | 1O | 1O | |||||
| Topic 2 | Functions & Graphs 1 | 2A | 2B | 2C | 2D | 2F | 2G | 2I | ||||||||||
| Topic 3 | Functions & Graphs 2 | 3A | 3C | 3K | 3N | 3O | 3P | |||||||||||
| Topic 4 | Recurrence | 5A | 5B | 5B | 5C | 5D | 5F | 5H | 5I | |||||||||
| Topic 5 | Differentiation | 6A | 6C | 6D | 6E | 6F | 6G | 6H | 6I | 6J | 6L | 6M | 6N | 6O | 6P | 6Q | 6R | 6S |
| Topic 6 | Polynomials | 7B | 7C | 7D | 7E | 7F | 7G | 7H | 7I | 7J | ||||||||
| Topic 7 | Quadratics | 8C | 8D | 8E | 8F | 8H | 8I | 8J | 8K | |||||||||
| Topic 8 | Integration | 9G | 9H | 9I | 9L | 9N | 9P | 9Q | ||||||||||
| Topic 9 | Trigonometry | 11B | 11C | 11D | 11E | 11F | 11G | 11H | ||||||||||
| Topic 10 | Circles | 12B | 12D | 12F | 12H | 12J | 12K | 12L | ||||||||||
| Topic 11 | Vectors | 13A | 13C | 13D | 13E | 13F | 13G | 13I | 13K | 13L | 13M | 13N | 13O | 13P | 13Q | 13R | 13S | 13U |
| Topic 12 | Further Calculus | 14B | 14C | 14C | 14E | 14G | 14H | 14I | 14J | 14K | ||||||||
| Topic 13 | Exp's & Logs | 15C | 15D | 15E | 15F | 15G | 15H | 15I | 15I | 15J | 15K | 15L | ||||||
| Topic 14 | Wave Function | 16A | 16C | 16D | 16E | 16F | 16G | 16H |
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11. Higher Maths Theory Guides
Thanks to HSN for making these available.
| 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 |
12. Higher Maths Mind Maps
These will prove an excellent resource in helping you prepare for 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 (Preparation) | 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 | Functions | Mind Map 25 | Vectors 1 |
| Mind Map 11 | Integration (Preparation) | 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 |
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13. Higher Maths Practice Unit Assessments (Solutions Included)
| Block _________ | Outcome _____________________________________ | Revision A ____________ | Revision B _______________________ |
| One | A1.1, A1.3, A1,4, EF1.3, RC1.3 | Revision A | Revision B |
| One | A1.1, EF1.3, EF1.4, RC1.1, RC1.2 | Practice Test 1 | Practice Test 2 (No Solns) |
| Two | A1,2, A1.4, EF1.2, RC1.1, RC1.2, RC1.4 | Revision A | Revision B |
| Three | A1,2, A1.4, EF1.2, RC1.1, RC1.2, RC1.4 | Revision A | Revision B |
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14. Higher Maths Past Paper Video Solutions
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15. Higher Maths Recommended Text Book
Work solutions to the Heinemann Higher Maths text book below can be found HERE.
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16. Exam Focused 2019/20 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 Higher Maths to pass your final exam.
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.
Subscribing to the Online Study Pack may therefore be one of your best ever investments. Please click Online Study Pack to view screenshots, examples and instructions on how to subscribe.
Please speak with your mum/dad and show them our fantastic website.
We hope the resources on this website prove useful and wish you the very best of success with your Higher Maths course in 2020/21.
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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