Free Higher Maths Past Papers

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 2021/22. Please find below:

1. Higher Maths SQA Past & Practice Papers 

2. Heinemann Text Book Solutions – Updated Solutions

3. Leckie & Leckie Text Book Solutions

4. Higher Maths Essential Skills Exam Practice – New

5. Higher Maths Essential Skills 

6. Higher Maths Practice Papers A to H & Prelim Special

7. Higher Maths Further Practice Papers A to S 

8. Higher Maths 40 Non-Calculator Questions

9. Higher Maths 200 Questions

10. Higher Maths Exam Worksheets by Topic 

11. Higher Maths Theory Guides 

12. Higher Maths Mind Maps 

13. Higher Maths Exam Check Lists 

14. Online Study Pack – Students looking for a ‘good’ pass

.

Higher Maths Resources

.

1. 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

.

2. Heinemann Higher Text Book Solutions – Updated Solutions

The high quality updated worked solutions below will prove extremely useful in helping to progress your Higher Maths knowledge. The solutions, along with excellent exam focused resources, can also be accessed in the Online Study Pack.

Topic
_________________________
Topic Name
_______________________
Topic 1 - Updated SolutionsStraight Line 1A1B1D1E1F1G1I1K1M1N1O
Topic 2 - Updated SolutionsSets and Functions2A2B2C2D2F2G2H2I
Topic 3 - Updated SolutionsGraphs of Functions 3A3C3E3G3I3K3M3N3O3P
Topic 4 - Updated SolutionsTrig Graphs & Equations4A4B4C4E4H4I4J
Topic 5 - Not in 2021/22Recurrence5A5B5B5C5D5F5H5I
Topic 6 - Updated SolutionsDifferentiation6C6D6E6F6G6H6I6J6L6M6N6O6P6Q6R6S
Topic 7 - Updated SolutionsPolynomials7B7C7D7E7F7G7H7I7K
Topic 8 - Updated SolutionsQuadratics8C8D8E8F8I8J8K
Topic 9 - Updated SolutionsIntegration9G9H9I9L9N9P9Q9R
Topic 10 - Updated SolutionsAddition Formulae11B11C11D11E11F11G11H11J
Topic 11 - Updated SolutionsCircles12B12D12F12H12J12K12L
Topic 12 - Not in 2021/22Vectors13A13C13D13E13F13G13I13K13L13M13N13O13P13Q13R13S13U
Topic 13 - Updated SolutionsFurther Calculus14B14C14E14G14H14I14J14K
Topic 14Exponentials & Logs15C15D15E15F15G15H15I15I15J15K15L
Topic 15Wave Function16A16C16D16E16F16G16H

.

3. Leckie & Leckie Higher Maths Text Book Solutions

Thanks to Madras College for providing the Leckie & Leckie Higher Maths text book solutions below. These will prove extremely useful in helping to progress your Higher Maths knowledge. Please note that some exercises may be incomplete and there may be the odd mistake.

Chapter
___________
Topic
_____________________________
Answers
____________
Worked Solutions
____________________
Chapter 1Logs AnswersWorked Solutions
Chapter 2Trig 1AnswersWorked Solutions
Chapter 3FunctionsAnswersWorked Solutions
Chapter 4Composite & Inverse FunctionsAnswersWorked Solutions
Chapter 5Vectors 1AnswersWorked Solutions
Chapter 6Vectors 2AnswersWorked Solutions
Chapter 7Algebraic EquationsAnswersWorked Solutions
Chapter 8Trig 2AnswersWorked Solutions
Chapter 9Differentiation 1AnswersWorked Solutions
Chapter 10Differentiation 2AnswersWorked Solutions
Chapter 11Integration 1AnswersWorked Solutions
Chapter 12Integration 2AnswersWorked Solutions
Chapter 13Straight LineAnswersWorked Solutions
Chapter 14CircleAnswersWorked Solutions
Chapter 15Recurrence RelationsAnswersWorked Solutions
Chapter 16Applying DifferentiationAnswersWorked Solutions
Chapter 17Applying IntegrationAnswersWorked Solutions

.

4. Higher Maths Essential Skills Exam Practice – New

Thanks to Mr G Rennie for making the excellent resources below freely available. The questions demonstrate the contexts you will likely find in SQA exams. Clear, easy to follow, step-by-step worked solutions to all 13 Essential Skills Exam Practice Worksheets below are available in the Online Study Pack.

Essential Skills Exam Practice
___________________________
Topic
_____________________
Answers
________________
Essential Skills - Exam Practice 1Straight LineAnswers
Essential Skills - Exam Practice 2Quadratic TheoryAnswers
Essential Skills - Exam Practice 3DifferentiationAnswers
Essential Skills - Exam Practice 4PolynomialsAnswers
Essential Skills - Exam Practice 5Trigonometry Answers
Essential Skills - Exam Practice 6FunctionsAnswers
Essential Skills - Exam Practice 7Wave FunctionAnswers
Essential Skills - Exam Practice 8IntegrationAnswers
Essential Skills - Exam Practice 9Further CalculusAnswers
Essential Skills - Exam Practice 10Recurrence RelationsAnswers
Essential Skills - Exam Practice 11VectorsAnswers
Essential Skills - Exam Practice 12CirclesAnswers
Essential Skills - Exam Practice 13Logarithms Answers
Essential Skills - Whole BookletWhole BookletAnswers

.

5. 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



6. 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

.


7. 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

.

8. 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

.

9. 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

.

10. 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

.

11. 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

.

12. 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

.

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.

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

.

14. 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 2022.

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 2021/22 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