Free Higher Maths Theory

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.

We hope you find this website useful and wish you the very best of success with your Higher Maths course in 2021. Please find below:

1. Higher Maths Theory Guides 

2. Higher Maths Essential Skills 

3. Higher Maths Mind Maps 

4. Higher Maths Past & Practice Papers 

5. Higher Maths Prelim Revision Special 2021 – Answers Included 

6. Higher Maths 40 Non-Calculator Questions & Answers 

7. Higher Maths 200 Questions & Answers 

8. Practice Exam Papers A to H – Answers Included

9. Higher Maths Exam Check Lists 

10. Online Study Pack – Students looking for a good pass

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Higher Maths Resources

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1. 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
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Topic
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Link
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Theory Guide 1All Topics Unit 1 Theory (HSN)HERE
Theory Guide 2All Topics Unit 1 - One Page Summary Guide (HSN)HERE
Theory Guide 3All Topics Unit 2 Theory (HSN)HERE
Theory Guide 4All Topics Unit 2 - One Page Summary Guide (HSN)HERE
Theory Guide 5All Topics Unit 3 Theory (HSN)HERE
Theory Guide 6All Topics Unit 3 - One Page Summary Guide (HSN)HERE
Theory Guide 7All Topics Units 1,2 & 3 Theory (HSN)HERE
Theory Guide 8Circles Theory (HSN)HERE
Theory Guide 9Differentiation Theory (HSN)HERE
Theory Guide 10Exponentials & Logarithms Theory (HSN)HERE
Theory Guide 11Functions & Graphs Theory (HSN)HERE
Theory Guide 12Further Calculus Theory (HSN)HERE
Theory Guide 13Graphs Transformations Theory (Movement & Reflection)HERE
Theory Guide 14Graphs Transformations Summary SheetHERE
Theory Guide 15Integration Theory (HSN)HERE
Theory Guide 16Polynomials & Quadratics Theory (HSN)HERE
Theory Guide 17Sequences Theory (HSN)HERE
Theory Guide 18Straight Line Theory (HSN)HERE
Theory Guide 19Trigonometry Theory (HSN)HERE
Theory Guide 19Vectors Theory (HSN)HERE
Theory Guide 20Wave Function Theory (HSN)HERE

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2. Higher Maths Essential Skills 

Thanks to Mr G Rennie for making the excellent resources below freely available. The Essential Skills Worksheets can be used to prepare 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
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Topic
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Answers
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Essential Skills
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Topic
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Answers
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Essential Skills 1Median of a TriangleAnswersEssential Skills 18Logarithmic EquationsAnswers
Essential Skills 2Perpendicular BisectorsAnswersEssential Skills 19Proving Trig IdentitiesAnswers
Essential Skills 3Altitude of a TriangleAnswersEssential Skills 20Related GraphsAnswers
Essential Skills 4Equation of a Tangent to a CurveAnswersEssential Skills 21Scalar ProductAnswers
Essential Skills 5Stationary PointsAnswersEssential Skills 22Further DifferentiationAnswers
Essential Skills 6Quadratic InequalitiesAnswersEssential Skills 23Further IntegrationAnswers
Essential Skills 7Completing the SquareAnswersEssential Skills 24Recurrence: Consecutive TermsAnswers
Essential Skills 8Tangent to a CircleAnswersEssential Skills 25Differential EquationsAnswers
Essential Skills 9Intersection of Lines & CirclesAnswersEssential Skills 26Definite IntegralsAnswers
Essential Skills 10Section FormulaAnswersEssential Skills 27Composite FunctionsAnswers
Essential Skills 11Trig FormulaAnswersEssential Skills 28Inverse FunctionsAnswers
Essential Skills 12Related AnglesAnswersEssential Skills 29Angle between Line & x-axisAnswers
Essential Skills 13Trig Equations (Double Angle Formula)AnswersEssential Skills 30Angle between VectorsAnswers
Essential Skills 14Synthetic DivisionAnswersEssential Skills 31Natural LogarithmsAnswers
Essential Skills 15Limit of a Recurrence RelationAnswersEssential Skills 32Logs: Connecting 2 VariablesAnswers
Essential Skills 16The Wave FunctionAnswersEssential Skills 33Using the DiscriminantAnswers
Essential Skills 17Graphs of Derived FunctionsAnswers

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3. Higher Maths Mind Maps

Thanks to the authors for providing the excellent resources below. Mind Maps are an excellent diagrammatic way of organising key ideas or concepts from lessons/text books.

Mind Map
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Topic
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Mind Map
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Topic
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Mind Map 1Circle 1 Mind Map 16Polynomials & Quadratics
Mind Map 2Circle 2Mind Map 17Polynomials
Mind Map 3Composite FunctionsMind Map 18Quadratics
Mind Map 4Compound Angle FormulaMind Map 19Recurrence Relations 1
Mind Map 5Differentiation (Preparing For)Mind Map 20Recurrence Relations 2
Mind Map 6Differentiation 1Mind Map 21Straight Lines 1
Mind Map 7Differentiation 2Mind Map 22Straight Lines 2
Mind Map 8Differentiation (Further)Mind Map 23Trigonometry 1
Mind Map 9Functions & GraphsMind Map 24Trigonometry 2
Mind Map 10Graph TransformationsMind Map 25Vectors 1
Mind Map 11Integration (Preparing For)Mind Map 26Vectors 2
Mind Map 12Integration 1Mind Map 27Vectors 3
Mind Map 13Integration 2Mind Map 28Wave Function 1
Mind Map 14Logs & Exponentials 1Mind Map 29Wave Function 2
Mind Map 15Logs & Exponentials 2

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4. 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
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Paper Type
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Exam Paper
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Marking Scheme
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2019Higher (CfE)Exam PaperMarking Scheme
2018Higher (CfE)Exam PaperMarking Scheme
2018 Specimen (CfE)Paper 1, Paper 2Marking Scheme
2017Higher (CfE)Exam PaperMarking Scheme
2016Higher (CfE)Exam PaperMarking Scheme
2015Higher (CfE)Exam PaperMarking Scheme
2015Specimen (CfE)Specimen PaperMarking Scheme
2015Exemplar (CfE)Exemplar PaperMarking Scheme
2015Higher (Old)Exam PaperMarking Scheme
2014HigherExam PaperMarking Scheme
2013HigherExam PaperMarking Scheme
2012HigherExam PaperMarking Scheme
2011HigherExam PaperMarking Scheme
2010HigherExam PaperMarking Scheme
2009HigherExam PaperMarking Scheme
2008HigherExam PaperMarking Scheme
2007HigherExam PaperMarking Scheme
2006HigherExam PaperMarking Scheme
2005HigherExam PaperMarking Scheme
2004HigherExam PaperMarking Scheme
2003HigherExam Paper Marking Scheme
2002HigherExam PaperMarking Scheme
2002Higher (Winter Diet)Exam Paper
2001HigherExam PaperSolutions

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5. Higher Maths Prelim Revision Special 2021 – Answers Included

Thanks to the authors for making the excellent resources freely available. The questions below will help build your confidence for your 2021 final assessments. Clear, easy to follow, step-by-step worked solutions to all questions (54 pages) are available in the Online Study Pack.

N5 Maths Prelim Revision Special
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Worksheet with Answers
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Answers
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Worksheet with Questions OnlyWorksheet with AnswersAnswers

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6. 40 Non-Calculator Questions – Excellent 2021 Prelim Resource!

Thanks to the SQA and authors for making the excellent resources below freely available. Clear, easy to follow, step-by-step worked solutions to all 40 questions below are available in the Online Study Pack.

Exam Questions
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Answers
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Whole Booklet for PrintingAnswers
Sheet A - 10 QuestionsAnswers
Sheet B - 10 QuestionsAnswers
Sheet C - 10 QuestionsAnswers
Sheet D - 10 QuestionsAnswers

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7. Higher Maths 200 Questions – Excellent 2021 Prelim Resource!

Thanks to the SQA and authors for making the excellent resources below freely available. Clear, easy to follow, step-by-step worked solutions to all 200 questions below are available in the Online Study Pack.

Exam Questions
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Answers
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Whole Booklet for PrintingAnswers
Exam Questions 1 - 20Answers
Exam Questions 21 - 40Answers
Exam Questions 41 - 60Answers
Exam Questions 61 - 80Answers
Exam Questions 81 - 100Answers
Exam Questions 101 - 120Answers
Exam Questions 121 - 140Answers
Exam Questions 141 - 160Answers
Exam Questions 161 - 180Answers
Exam Questions 181 - 200Answers

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8. 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
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Paper 1
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Paper 2
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Papers 1 & 2
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Answers
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Paper APaper 1Paper 2Papers 1 & 2HERE
Paper BPaper 1Paper 2Papers 1 & 2HERE
Paper CPaper 1Paper 2Papers 1 & 2HERE
Paper DPaper 1Paper 2Papers 1 & 2HERE
Paper EPaper 1Paper 2Papers 1 & 2HERE
Paper FPaper 1Paper 2Papers 1 & 2HERE
Paper GPaper 1Paper 2Papers 1 & 2HERE
Paper HPaper 1Paper 2Papers 1 & 2HERE

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9. 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.

Description
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Link
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Acknowledgements
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Higher Maths Course DescriptionHERE
SQA Higher Maths Exam Formulae ListHERECourtesy of SQA
Check List 1 - Higher Maths Exam Whole Course
HERECourtesy of Zeta Maths
Check List 2 - Higher Maths Formulae List Not Given in ExamHERE
Check List 3 - Higher Maths Exam Whole CourseHERE
Check List 4 - Higher Maths Exam Trig Revision SheetHERE
Check List 5 - One Page Summary Guide Unit 1 (HSN)HERECourtesy of HSN
Check List 6 - One Page Summary Guide Unit 2 (HSN)HERECourtesy of HSN
Check List 7 - One Page Summary Guide Unit 3 (HSN)HERECourtesy of HSN

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10. 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.

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 2021.

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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