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 SQA Past & Practice Papers 

3  Higher Maths Practice Papers A to H & Prelim Special

4. Higher Maths Further Practice Papers A to S

5. Higher Maths 40 Non-Calculator Questions & Answers 

6. Higher Maths 200 Questions & Answers 

7. Higher Maths Essential Skills 

8. Higher Maths Worksheets by Topic

9. Higher Maths Mind Maps 

10. Higher Maths Exam Check Lists 

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

.

Higher Maths Resources

.

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
_________________
Topic
____________________________________________
Link
_______
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

.

2. Higher Maths SQA 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
__________________
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



3. Higher Maths Practice Exam Papers A to H & Prelim Special

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 and the Prelim Special (54 Pages) are available in the Online Study Pack.

Practice Paper
_____________
Paper 1
_____________
Paper 2
_____________
Papers 1 & 2
_____________________
Answers
_____________
Paper APaper 1Paper 2Papers 1 & 2Answers
Paper BPaper 1Paper 2Papers 1 & 2Answers
Paper CPaper 1Paper 2Papers 1 & 2Answers
Paper DPaper 1Paper 2Papers 1 & 2Answers
Paper EPaper 1Paper 2Papers 1 & 2Answers
Paper FPaper 1Paper 2Papers 1 & 2Answers
Paper GPaper 1Paper 2Papers 1 & 2Answers
Paper HPaper 1Paper 2Papers 1 & 2Answers
Prelim SpecialQuestionsQuestions & AnswersAnswers
Prelim SpecialX-Mas ThemeQuestions & AnswersAnswers

.


4. Higher Maths Further Practice Papers A to S

Thanks to the SQA, SPTA and authors for making the excellent resources below freely available. The papers are based on the old style Higher exam and will provide excellent preparation for your final Assessments in 2021.

Paper 1
______________
Paper 2
______________
Answers
__________

.____
Paper 1
______________
Paper 2
______________
Answers
__________
Paper A Paper 1Paper A Paper 2AnswersPaper K Paper 1Paper K Paper 2Answers
Paper B Paper 1Paper B Paper 2AnswersPaper L Paper 1Paper L Paper 2Answers
Paper C Paper 1Paper C Paper 2AnswersPaper M Paper 1Paper M Paper 2Answers
Paper D Paper 1Paper D Paper 2AnswersPaper N Paper 1Paper N Paper 2Answers
Paper E Paper 1Paper E Paper 2AnswersPaper O Paper 1Paper O Paper 2Answers
Paper F Paper 1Paper F Paper 2AnswersPaper P Paper 1Paper P Paper 2Answers
Paper G Paper 1Paper G Paper 2AnswersPaper Q Paper 1Paper Q Paper 2Answers
Paper H Paper 1Paper H Paper 2AnswersPaper R Paper 1Paper R Paper 2Answers
Paper I Paper 1Paper I Paper 2AnswersPaper S Paper 1Paper S Paper 2Answers
Paper J Paper 1Paper J Paper 2Answers

.

5. 40 Non-Calculator Questions 

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
_______________________
Answers
__________
Sheet A - 10 QuestionsAnswers
Sheet B - 10 QuestionsAnswers
Sheet C - 10 QuestionsAnswers
Sheet D - 10 QuestionsAnswers
Whole Booklet for PrintingAnswers

.

6. Higher Maths 200 Questions 

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
_____________________
Answers
___________
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
Whole Booklet for PrintingAnswers

.

7. 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
__________________
Topic
________________________________
Answers
________
Essential Skills
_______________
Topic
_________________________
Answers
___________
Exam Practice BookletExam Practice Booklet, With AnswersAnswersEssential Skills 17Graphs of Derived FunctionsAnswers
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

.

8. 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.

Number
______
Topic
___________________________
Answers
____________
Number
______
Topic
___________________________
Answers
_____________
1Circles Answers21PolynomialsAnswers
2Circles (Old Higher)Ans Included22Polynomials (Old Higher)Ans Included
3Differentiation - 1Answers23QuadraticsAnswers
4Differentiation - 2Answers24Quadratics (Old Higher)Ans Included
5Differentiation (Optimisation)Answers25Recurrence Relations - 1Answers
6Differentiation (Old Higher)Ans Included26Recurrence Relations - 2Answers
7Exponentials & LogsAnswers27Recurrence Relations (Old Higher)Ans Included
8Exponentials & Logs (Old Higher)Ans Included28Straight Lines - 1Answers
9FunctionsAnswers29Straight Lines - 2Answers
10Functions & GraphsAnswers30Straight Lines (Old Higher)Ans Included
11Functions (Old Higher)Ans Included31Trig Formulae & Equations - 1Answers
12Further CalculusAnswers32Trig Formulae & Equations - 2Answers
13Further Calculus (Old Higher)Ans Included33Trig Addition Formula (Old Higher)Ans Included
14Graphs of FunctionsAnswers34Trig Graphs & Eqns (Old Higher)Ans Included
15Graphs of Functions (Old Higher)Ans Included35VectorsAnswers
16Integration - 1Answers36Vectors (Old Higher)Ans Included
17Integration - 2Answers37Wave FunctionAnswers
18Integration - Area under a CurveAnswers38Wave Function (Old Higher)Ans Included
19Integration (Old Higher)Ans Included39Prelim Revision SpecialAnswers
20Polynomials & QuadraticsAnswers

.

9. 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
____________
Topic
____________________________
Mind Map
___________
Topic
____________________________
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

.

10. 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
___________________________________________________
Link
________
Acknowledgements
_________________________
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

.

11. 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

Buy today

For Students

To ensure your success in 2020/21 there is a wealth of fantastic additional Higher Maths exam focused resources for less than the cost of a text book.

Just £9.99 for a year

Buy now >

Buy now with PayPal

For Schools

Schools can get the Online Study Pack also. Unlimited use for all the teachers and students in your school.

Just £99.99 for a year

Buy now >

Buy now with PayPal